Comparison of experimental and calculated M-ligand bond lengths (Å) of complexes (1–3).
\r\n\tHydrogen gas is the key energy source for hydrogen-based society. Ozone dissolved water is expected as the sterilization and cleaning agent that can comply with the new law enacted by the US Food and Drug Administration (FDA). The law “FDA Food Safety Modernization Act” requires sterilization and washing of foods to prevent food poisoning and has a strict provision that vegetables, meat, and fish must be washed with non-chlorine cleaning agents to make E. coli adhering to food down to “zero”. If ozone dissolved water could be successively applied in this field, electrochemistry would make a significant contribution to society.
\r\n\r\n\t
\r\n\tOxygen-enriched water is said to promote the growth of farmed fish. Hydrogen dissolved water is said to be able to efficiently remove minute dust on the silicon wafer when used in combination with ultrasonic irradiation.
\r\n\tAt present researches on direct water electrolysis have shown significant progress. For example, boron-doped diamonds and complex metal oxides are widely used as an electrode, and the interposing polymer electrolyte membrane (PEM) between electrodes has become one of the major processes of water electrolysis.
\r\n\t
\r\n\tThe purpose of this book is to show the latest water electrolysis technology and the future of society applying it.
Competitive swimming is one of the most challenging sports to perform scientific research. Not only the research of human movement is quite complex, because human beings are not so determinists as other (bio)mechanical systems; but also, assessing human beings in aquatic environment becomes even more as this is not their natural environment and other physical principles have to be considered.
On regular basis, for human movement analysis, including the ones made on aquatic environments, experimental and numerical methods are used. Experimental methods are characterized by attaching bio-sensors to the subjects being analyzed, acquiring the bio-signal and thereafter processing it. Numerical methods are characterized by the introduction of selected input data, processing data according to given mechanical equations and thereafter collecting the output data. Both methods groups aim to perform kinematics analysis, kinetics analysis, neuromuscular analysis and anthropometrical/inertial analysis.
These method groups are also used for biomechanical analysis of competitive swimming. A swimming event can be decomposed in four moments or phases: (i) the starting phase; (ii) the swimming phase; (iii) the turning phase and; (iv) the finishing phase. During any swimming event, a swimmer spends most of his/her absolute or relative time in the swimming phase. Therefore, the swimming phase is the most (but not the only one) determinant moment of the swimming performance. In this sense, a large part of the biomechanical analysis of competitive swimming is dedicated to the four competitive swimming strokes: (i) the Front Crawl; (ii) the Backstroke; (iii) the Breaststroke and; (iv) the Butterfly stroke.
The aim of this chapter has two folds: (i): to perform a biomechanical characterization of the four competitive swimming strokes, based on the kinematics, kinetics and neuromuscular analysis; (ii) to report the relationships established between all the domains and how it might influence the swimming performance.
Consistent swimming research started in the seventies. There is a significant increase on the scientific production about competitive swimming throughout the 1971-2006 period of time (Barbosa et al., 2010a) that continuous nowadays. A large part of the swimming research is dedicated to the swimming strokes kinematics. It can be considered that some topics are assessed on regular basis: (i) stroke cycle kinematics; (ii) limbs kinematics; (iii) hip and centre of mass kinematics.
Velocity (v) is the best variable to assess swimming performance. For a given distance, Front Crawl is considered the fastest swim stroke, followed by Butterfly, Backstroke and Breaststroke (Craig et al., 1985; Chengalur & Brown, 1992).
Swimming velocity can be described by its independent variables: stroke length (SL) and stroke frequency (SF). SL is defined as being the horizontal distance that the body travels during a full stroke cycle. SF is defined as being the number of full stroke cycles performed within a unit of time (strokes.min-1) or Hertz (Hz). Increases or decreases in v are determined by combined increases or decreases in SF and SL, respectively (Tousaint et al., 2006; Craig et al., 1985; Kjendlie et al., 2006). Those are polynomial relationships for all swim strokes (Keskinen & Komi, 1988; Pendergast et al., 2006) (Fig. 1). For Craig and Pendergast (1979) the Front Crawl has the greatest SL and SF in comparison to remaining swimming techniques. Authors suggested similar behavior for the Backstroke except that at a given SF, the SL and v were less than for the Front Crawl. At Butterfly stroke, increases of the v were related almost entirely to increases in SF, except at the highest v. At Breaststroke increasing v was also associated with increasing in SF, but the SL decreased more than in the other swim strokes (Craig an Pendergast, 1979).
Throughout an event, the decrease of v is mainly related to the decrease of SL in all swim strokes (Hay & Guimarães, 1983). There is a “zig-zag” pattern for SF during inter-lap. The maximum SF on regular basis happens at the final lap (Letzelter & Freitag, 1983).
Comparing the swim strokes by distance, there is a trend for SF and v decrease and a slightly maintenance of SL with increasing distances (Jesus et al., 2011; Chollet et al., 1996). Swimmer must have a high SL and, therefore, v should be manipulated changing the SF (Craig & Pendergast, 1979).
One other variable often used to assess the stroke cycle kinematics is the stroke index (SI). SI is considered as an estimator for overall swimming efficiency (Costill et al., 1985). This index assumes that, at a given v, the swimmer with greater SL has the most efficient swimming technique. Regarding all the swimming strokes, Front Crawl is the one with the highest SI, followed by Backstroke, Butterfly and Breaststroke (Sánchez & Arellando, 2002). Analyzing it according to the distance, literature it not completely consensual. Sánchez and Arellano (2002) reported a trend for SI decrease from the 50 to the 400 m events, except at Breaststroke. On the other hand, Jesus et al. (2011) showed not so obvious decrease in SI from shorter to longer distances in the World Championships finalists. There was only a significant effect of distance in SI for the female swimmers.
Stroke mechanics variables, including the SF and the SL are dependent from the limb’s kinematics. That is the reason why some effort is done to understand the contribution of the limb’s behavior. For instance, at Front Crawl, Deschodt et al. (1996) observed a significant relationship between the hip velocity and the horizontal and vertical motion of the upper limbs. As the upper limb’s velocity increased, the horizontal velocity of the swimmers increased as well. Therefore, it can be argued that upper limbs velocity has a major influence in swimming performance. Indeed, Hollander et al. (1988) found a small contribution of the legs to propulsion (approximately 10%) at Front Crawl. However, Deschodt et al. (1999) reported a relative contribution of about 15%. To the best of our knowledge there is no study about the partial contribution of upper and lower limb’s to total swim velocity in the remaining strokes.
The relationships between swimming velocity with stroke frequency and stroke length.
At Front Crawl another issue is the contribution of the body roll to the upper limb’s kinematics and therefore to swim performance. Some researchers, such as Psycharakis and Sanders (2010), suggest a high contribution of the body roll and its relationship to breathing patterns to the limb’s kinematics. A better body roll imposes a pronounced hand’s “S” shape trajectory that increases the thrust.
At Backstroke the body roll is also a main issue. Good level swimmers should have a better streamlined position (Maglischo, 2003); plus a large body roll and a higher emphasis in the kicking actions (Cappaert et al., 1996). The “S” shape of the hand’s path is also related to a higher thrust than other kind of trajectories (Ito, 2008).
At Breaststroke, the timing between the upper and lower limbs is a major concern. A significant relationship between upper and lower limbs coordination with swim velocity was verified (Chollet et al., 1999). Tourny et al. (1992) suggested that higher velocities might be achieved reducing the gliding phase. Nowadays, the total time gap between arms and legs propulsive actions is assessed on regular basis to understand this phenomenon (Seifert & Chollet, 2008).
At Butterfly stroke, main kinematic aspects are the trunk angle, the arm’s full extension during the upsweep and the emphasis in the second kick. Higher trunk angle with horizontal plane will increase the projected surface area and the drag force. To decrease it some butterfliers breathe to the side (Barbosa et al., 1999) and others adopt a specific breathing pattern with no breathing in some cycles (Alves et al., 1999; Barbosa et al., 2003).
Butterfliers with increased velocities present a higher extension of the elbow at the upsweep, in order to increase the duration of this propulsive phase (Togashi & Nomura, 1992). Considering the lower limbs kinematics, the reduction of the kick amplitude plus the increase of kick frequency, combined with the increase of the knee’s angle during the downbeat, seems to be the best way to increase the swimmer’s velocity (Arellano et al., 2003). Barbosa et al (2008a) found that a high segmental velocity of the legs during the downbeats, specially the second one, will decrease the speed fluctuation.
For all swim techniques, several manuscripts had demonstrated the importance of the last phases of the underwater stroke cycle for propulsion (Schleihauf, 1979; Schleihauf et al., 1988). So, higher swim velocities are achieved increasing the partial duration and the propulsive force during the final actions of the underwater curvilinear trajectories (Fig. 2).
\n\t\t\t\tThe hand’s underwater path at Front Crawl (panel A), Backstroke (panel B), Breaststroke (panel C) and Butterfly stroke (panel D).
Hip and/or centre of mass are considered as a way to analyze the body’s kinematics. However, the hip is not validated as an appropriate estimator of the centre of mass kinematics (Mason et al., 1992; Barbosa et al., 2003; Psycharakis & Sanders 2009). The hip intra-cyclic velocity presents more variations than the centre of mass. Besides, the peaks and troughs do not temporally coincide throughout the stroke cycle. Inter-limbs actions during the stroke cycle constantly change the centre of mass position (Psycharakis & Sanders, 2009). The hip is not able to represent such variations since it is a fixed anatomical landmark. Although this bias, the assessment of the anatomical landmark is still an option for some research groups.
The most often assessed variable related to the hip and/or the centre of mass is the intra-cyclic variation of the horizontal velocity (dV). Throughout the stroke cycle, the body‘s velocity is not uniform. There are increases and decreases of the body’s velocity due to the limb’s actions. Indeed, the dV has been considered as one of the most important biomechanical variables to be assessed in competitive swimming (Komolgorov & Duplisheva, 1992).
From a mathematical point of view, the dV is described with non-linear functions. Nevertheless, determination coefficients from those models are moderate, since swimmers present different individual dV curves. Individual curve present some changes in comparison to mean curves from several subjects, expressing his/her interpretation of the swim technique (Barbosa et al., 2010b).
At Front Crawl, dV has a multi-model profile (Barbosa et al., 2010c) (Fig. 3, panel A). Higher peaks are related to arm’s actions and lower peaks to leg’s actions. For some individual curve it can be noticed two higher peaks with different velocities. Those peaks are related to the most propulsive phases of each arm. Moreover, it seems that there is for some subjects an asymmetrical application of propulsive force from both arms. A similar trend can be verified for the Backstroke dV’s (Fig. 3, panel B).
At Breaststroke, dV is characterized by a bi-modal profile (Barbosa et al., 2010c) (Fig. 3, panel C). One peak is related to arm’s actions and the other to the leg’s action. Both peaks should be more or less even, but with a higher value for the leg’s peak followed. After that peak, the gliding phase happens with a v decrease. Indeed, the gliding phase is another issue to consider regarding the Breaststroke dV. Subjects should know the exact moment to start a new stroke cycle, avoiding a major decrease of the instantaneous v (Capitão et al., 2006).
At Butterfly stroke, dV presents a tri-modal profile (Barbosa et al., 2003) (Fig. 3, panel D). The first peak is due to the leg’s first downbeat, a second peak related to the arm’s insweep, a last and highest peak during the arm’s upsweep. The arm’s recovery is a phase when the instantaneous velocity rapidly decreases.
The intra-cyclic variation of the horizontal velocity at Front Crawl (panel A), Backstroke (panel B), Breaststroke (panel C) and Butterfly stroke (panel D).
There is a relationship between dV and v, as well as, between dV and the swimming energy cost. There is a polynomial relationship between dV and v in the four competitive swim strokes (Barbosa et al., 2006). The dV increases to a given point with increasing v and then starts to decrease. So, high velocities seem to impose a lower dV. Added to that, increasing dV will lead to an increase in the energy cost of swimming, even controlling the effect of the v (Barbosa et al., 2005; 2006). In this sense, in all the four competitive strokes, a low dV leads to higher swim efficiency. For instance, at Breaststroke more pronounced body waving imposed a decreased dV (Persyn et al., 1992; Sanders et al., 1998; Silva et al., 2002). At Butterfly stroke, a low velocity during hand’s entry, a high hand’s velocity during the upsweep and a high velocity of the second downbeat will decrease the dV (Barbosa et al., 2008). So, some specific limb’s actions in each swim stroke are able to decrease the dV and, therefore, to increase the swim efficiency and by this way enhancing performance.
For a long time kinetic assessment was made adopting experimental research designs. Since the beginning of the XXth century some research was done to estimate the drag submitted and the propulsion produced by a swimmer. Houssay in 1912, Cureton in 1930 and Karpovich and Pestrecov in 1939 are considered the pioneers in this kind of research (Lewillie, 1983). One hundred years later, in the beginning of the XXIth century, new research trends, based on computational simulation techniques (Bixler & Riewald, 2002; Bixler et al., 2007; Marinho et al., 2008) and particle image velocimetry (Kamata et al., 2006) have started.
Kinetics analysis in swimming has addressed to understand two main topics of interest: (i) the propulsive force generated by the propelling segments and; (ii) the drag forces resisting forward motion, since the interaction between both forces will influence the swimmer’s speed.
The swimmers’ performance is limited by their ability to produce effective propulsive force (the component of the total propulsive force acting in the direction of moving). The measurement of the propulsive forces generated by a swimmer has been of interest to sports biomechanics for many years. Despite the task of directly measuring the propulsive forces acting on a freely swimming subject is practically impossible, Hollander et al. (1986) developed a system for measuring active drag (MAD system) by determining the propulsive force applied to underwater push-off pads by a swimmer performing the Front Crawl arm action only. However, the intrusive nature of the device disables its use during competition and reduces its ecological validity (Payton & Bartlett, 1995). A non-intrusive method of estimating propulsive hand forces during free swimming was developed by Schleihauf (1979) and was the basis of several studies (Berger et al., 1995; Sanders, 1999). In this method the instantaneous propulsive forces are estimated according to vectorial analysis of forces combination’s acting on model hands in an open-water channel and the recordings of underwater pulling action of a swimmer. Using a plastic resin model of an adult human hand, Schleihauf (1979) measured forces for known orientations to a constant water flow, determining drag and lift coefficients for specific orientations. These data were then used together with digitized kinematic data of the hand to estimate the lift, drag and resultant force vectors produced during the stroke cycle of the swimmers.
The relative contribution of drag and lift forces to overall propulsion is one of the most discussed issues in swimming hydrodynamics research. Regarding the water channel analysis, Schleihauf (1979) reported that lift coefficient values increased up to an attack angle around 40º and then decreased, although some differences with respect to the sweepback angle were observed. Drag coefficient values increased with increasing the attack angle and were less sensitive to sweepback angle changes. In a more detail analysis, Bixler and Riewald (2002) evaluated the steady flow around a swimmer’s hand and forearm at various angles of attack and sweep back angles. Force coefficients measured as a function of angle of attack showed that forearm drag was essentially constant and forearm lift was almost zero (Figs. 4 and 5). Moreover, hand drag presented the minimum value near angles of attack of 0º and 180º and the maximum value was obtained near 90º, when the model is nearly perpendicular to the flow. Hand lift was almost null at 95º and peaked near 60º and 150º.
Drag coefficient vs. angle of attack for the digital model of the hand, forearm and hand/forearm (Sweep back angle = 0º). Adapted from Bixler and Riewald (2002).
When the sweep back angle is considered, it is interesting to notice that more lift force is generated when the little finger leads the motion than when the thumb leads (Bixler & Riewald, 2002; Silva et al., 2008).
Another important issue is related to the contribution of arms and legs to propulsion. It is almost consensual that most of propulsion is generated by the arms’ actions. In Front Crawl swimming, it was found (Hollander et al., 1988; Deschodt, 1999) that about 85 to 90% of propulsion is produced by the arms’ movements. Accordingly, the majority of the research under this scope is performed on arm’s movements. Nevertheless, leg’s propulsion should not be disregarded and future studies under this field should be addressed, helping swimmers to enhance performance. Regarding arms’ actions, a large inter-subject range of fingers relative position can be observed during training and competition, regarding thumb position and finger spreading. Although some differences in the results of different studies (Schleihauf, 1979; Takagi et al., 2001; Marinho et al., 2009), main results seemed to indicate that when the thumb leads the motion (sweep back angle of 0º) a hand position with the thumb abducted would be preferable to an adducted thumb position. Additionally, Marinho et al. (2009) found, for a sweep back angle of 0º, that the position with the thumb abducted presented higher values than the positions with the thumb partially abducted and adducted at angles of attack of 0º and 45º. At an angle of attack of 90º, the position with the thumb adducted presented the highest value of resultant force.
Lift coefficient vs. angle of attack for the digital model of the hand, forearm and hand/forearm (Sweep back angle = 0º). Adapted from Bixler and Riewald (2002).
When considering different finger spreading, Marinho et al. (2010a), using a numerical analysis, studied the hand with: (i) fingers close together, (ii) fingers with little distance spread (a mean intra finger distance of 0.32 cm, tip to tip), and (iii) fingers with large distance spread (0.64 cm, tip to tip), following the same procedure of Schleihauf (1979) research. Marinho et al. (2010a) found that for attack angles higher than 30º, the model with little distance between fingers presented higher values of drag coefficient when compared with the models with fingers closed and with large finger spread. For attack angles of 0º, 15º and 30º, the values of drag coefficient were very similar in the three models of the swimmer’s hand. Moreover, the lift coefficient seemed to be independent of the finger spreading, presenting little differences between the three models. Nevertheless, Marinho et al. (2010a) were able to note slightly lower values of lift coefficient for the position with larger distance between fingers. These results suggested that swimmers to create more propulsive force could use fingers slightly spread.
However, these studies were conducted only under steady state flow conditions and as mentioned above one knows (Schleihauf et al., 1988) that swimmers do not move their arms/hands under constant velocity and direction motions. Therefore, some authors (e.g., Sanders, 1999; Bixler & Riewald, 2002; Sato & Hino, 2003; Rouboa et al., 2006) referred that it is important to consider unsteady effects when swimming propulsion is analysed. For instance, Sato and Hino (2003) using also numerical and experimental data showed that the hydrodynamic forces acting on the accelerating hand was much higher than with a steady flow situation and these forces amplifies as acceleration increases.
Regarding the hydrodynamic drag, this force can be defined as an external force that acts in the swimmer’s body parallel but in the opposite direction of his movement direction. This resistive force is depending on the anthropometric characteristics of the swimmer, on the characteristics of the equipment used by the swimmers, on the physical characteristics of the water field, and on the swimming technique.
The hydrodynamic drag resisting forward motion (D) can be expressed by Newton’s equation:
Where ρ represents the fluid density, CD represents the drag coefficient, S represents the projection surface of the swimmer and v represents the swimming velocity.
The evaluation of the intensity of the hydrodynamic drag during swimming represents an important aim in swimming biomechanics. Drag determined by towing a non-swimming subject through the water (passive drag) has been studied for a long time (Karpovich, 1933). However, passive drag analysis does not consider the drag that the swimmer creates when he produces thrust to overcome the drag, i.e., during actual swimming (active drag). Thus, one of the most important parameters in the swimming hydrodynamics scope is to determine the drag of a body that is actively swimming. This assumption resulted in attempts to determine the drag of a person who is actively swimming. Indeed, passive drag is lower than active drag for the same subject (Kjendlie & Stallman, 2008).
Aiming to achieve this goal, techniques to assess active drag were developed by several research groups in the 70s, based on interpolation techniques (e.g., Clarys & Jiskoot, 1975; di Prampero et al., 1974). These methods involved indirect calculations based upon changes in oxygen consumption, as additional loads were placed on the swimmer (Marinho et al., 2010b). Later on, Hollander et al. (1986) developed the MAD-system (measurement of active drag), relying on the direct measurement of the push-off forces while swimming the Front Crawl stroke only with arms. In the 90s, Kolmogorov and Duplishcheva (1992) designed another method to determine the active drag: the velocity perturbation method, also known as the method of small perturbations. In this approach, subjects swim a lap twice at maximal effort: (i) free swimming; and (ii) swimming while towing a hydrodynamic body that creates a known additional drag. For both trials, the average velocity is calculated. Under the assumption that in both swims the power output to overcome drag is maximal and constant, drag force can be determined considering the difference in swimming velocity. In contrast to the interpolation techniques and the MAD-system, that required heavy and costly experimental procedures, the velocity perturbation method just required the use of the hydrodynamic body device and a chronometer to assess active drag. Additionally, this approach can be applied to measure active drag in the four competitive strokes. Other methods can only be applied to the Front Crawl (e.g., the MAD-system, Hollander et al., 1986) and the swimmer presents some segmental constrains, since legs are not taken into account, as they are hold by a pull buoy. Using this approach several studies has been conducted to evaluate active drag in swimming (e.g., Kjendlie & Stallman, 2008; Marinho et al., 2010b). Kjendlie and Stallman (2008) found that active drag in adults was significantly higher than in children. This difference between adults and children was mostly due to the different size and velocity during swimming. Marinho et al. (2010b) also studied active drag comparing boys and girls, reporting that there were no differences between boys and girls. A possible explanation may be related to the similar values of body mass and height in boys and girls found in this study. However, girls tended to have lower drag values than boys, which can be also related to the lower velocities achieved by the first ones.
The total drag consists of the frictional, form and wave drag components. Frictional drag is depending on water viscosity and generates shear stress in the boundary layer. The intensity of this component is mainly due to the wetted surface area of the body, the characteristics of this surface and the flow conditions inside the boundary layer. Form drag is the result of a pressure differential between the front and the rear of the swimmer, depending on the velocity, the density of water and the cross sectional area of the swimmer. Near the water surface, due to the interface between two fluids of different densities, the swimmer is constrained by the formation of surface waves leading to wave drag (Toussaint & Truijens, 2005).
The contribution of form, friction and wave drag components to total drag during swimming is an interesting topic in sports biomechanics. Data available from several experimental studies show some difficulties involved in the evaluation of the contribution of each drag component (Bixler et al., 2007). It is mostly accepted that frictional drag is the smallest component of total drag, especially at higher swimming velocities, although this drag component should not be disregarded in elite level swimmers. Bixler et al. (2007) using numerical simulation techniques found that friction drag represented about 25% of total drag when the swimmer is gliding underwater. Zaidi et al. (2008) also found an important contribution of friction drag to the total drag when the swimmer is passively gliding underwater. These authors found that friction drag represented about 20% of the total drag. In this sense, issues such as sports equipments, shaving and the decrease of immersed body surface should be considered with detail, since this drag component seems to influence performance especially during the underwater gliding after starts and turns. In addition, form and wave drag represent the major part of total hydrodynamic drag, thus swimmers must emphasize the most hydrodynamic postures during swimming (Toussaint, 2006; Marinho et al., 2009). Although wave drag represents a huge part of total drag during swimming (Kjendlie & Stallman, 2008); when gliding underwater there is a tremendous reduction of this drag component. For instance, Lyttle et al. (1999) concluded that there is no significant wave drag when a typical adult swimmer is at least 0.6 m under the water’s surface. Moreover, Vennell et al. (2006) found that a swimmer to avoid wave effects must be deeper than 1.8 and 2.8 chest depths below the surface for velocities of 0.9 m s-1 and 2.0 m s-1, respectively.
Since the early sixties some research was done regarding the swimming neuromuscular activity (Ikai et al., 1964). However, for a long time such research was merely qualitative, with a reduce focus quantifying this phenomena. For instance, Ikai et al (1964) qualitatively showed that the bicep braquialis, the triceps braquialis, the deltoid and grand dorsal were highly activate during the strokes. On the other hand, for a quantitative perspective, the authors verified that the elbow extensors presented a higher activation than the elbow flexors at Front Crawl, Breaststroke and Butterfly stroke. Indeed this electromyographic (EMG) assessment from Ikai et al. (1964) was thereafter the basis for the swimming stroke descriptions popularized in some swimming textbooks including the ones from Counsilman (1968) or Catteau and Garrof (1968). In the late sixties a research trend more focus in quantifying the EMG signal was started by Lewillie (1967; 1973) and followed by Clarys (1983; 1988). Comparing to kinematics and kinetics researches, neuromuscular assessments are the less used approach for competitive swimming.
Qualitative EMG relies on judgment of wave form patterns from neuromuscular activity in graphical demonstration. Based on the visual interpretation of the gross EMG signal it is possible to describe the neuromuscular activation according to the temporal domain. In most circumstances, the bio-signal amplitude and the duration are used as variables for a temporal interpretation. The amplitude is roughly proportionally to the force exerted by the underlying muscle. This relationship can be easily appreciated by viewing the EMG signal in real-time while the intensity of the muscular contraction increases. However, the EMG signal is not an estimation of the muscle force produced. On the other hand, analyzing the duration of muscular activation it is possible to observe whether a muscle is active or inactive. Moreover, it is possible to establish timing patterns for dynamic movements and the co-activation of several opossite muscle groups.
For swimming researchers the main focus relies in understanding the dynamics of neuromuscular activity between strokes during the limbs and trunk actions.
Lewillie (1973) conducted a case study in the four strokes at three conditions (slow, normal, fast). The highest neuromuscular activation was observed for the Butterfly stroke at fast condition. Increasing intensity imposed an increase in the anterior rectum and triceps surae activation for all strokes. Nuber et al. (1986) observed high activation of the supraspinatus, infraspinatus, middle deltoid, and serratus anterior during the recovery phases of the Front Crawl, Breaststroke and Butterfly. On the other hand, the latissimus dorsi and pectoralis major were predominately pull-through phase muscles (Nuber et al., 1986). Latter, similar activation during Front Crawl was reported by Pink et al. (1991) for the pectoralis major and latissimus dorsi to propel the body and for the infraspinatus to externally rotate the arm at middle of the arm’s recovery. Authors also observed high activation for the three heads of the deltoid and the supraspinatus during the arm’s entry and exit.
A study in breaststrokes demonstrated consistently activation for the serratus anterior and teres minor muscles throughout the stroke cycle (Ruwe et al., 1994). Barthels and Adrian (1971) found a great activity for the rectus abdominus and for the spine erector, suggesting that the trunk movement in Butterfly stroke is associated to the lower limbs action. Concerning the upper lims propulsion, Pink et al (1993) reported that the serratus anterior and the subscapularis maintained a high level of activation, being highly susceptible to fatigue and vulnerable to injury.
The quantitative EMG analyzes the subtle changes on wave form patterns that normally are missed or not appreciated by qualitative EMG. This approach combines graphical interpretation with numerical processing data to describe the neuromuscular activation. The amplitude and duration analysis are improved using several data analysis procedures. On a regular basis, researchers use some quantified variables, including the root mean square (RMS) and threshold models for that purpose in the time domain. The RMS is considered to be the most meaningful technique, since it gives a measure of the power of the signal. Threshold intervals are also helpful because they more clearly demarcate the beginning and end of each muscle contraction. Both techniques require the use of automated algorithms that extract and analyze motor unit action potentials. The algorithms can simultaneously identify several different motor units’ wave forms from the EMG signal to facilitate the acquisition of more data in less time (Stálber et al., 1996).
One other approach used in the quantitative EMG assessment is the spectral analysis. This approach allows to change the signal from temporal domain to frequency domain. Essentially it gives an evaluation of what contribution each frequency has to the original sign. To evaluate the different frequencies contents of maximal voluntary contraction the usual procedure is to use the Fourier transformation. However, new spectral indices (e.g. FInsmk) have been proposed and considered to be valid, reliable and more sensitive than those traditionally used for competitive swimming Dimitrov, 2006; Figueiredo et al., 2010).
Generally, the mean and median frequencies of the EMG signal decrease with time during a task that induces fatigue. The pratical aplication for spectral analysis in swimming is to study muscle fatigue and its relationship to limb’s kinematics. Monteil et al. (1996) analyzing the fatigue at the beginning and at the end of a 400m Front Crawl bout in a flume found a data decrease during the insweep phase followed by an increase during the outsweep. Authors indicated a shift of the force production from the insweep to the outsweep and a decrease of hand velocity during the insweep phase. A similar phenomenon was observed by Aujouannet et al. (2006). EMG spectral parameters of the biceps brachii and triceps brachii demonstrated a shift toward lower frequency before and after a maximal 4*50m swimming test (Aujouannet et al., 2006). In a fatigue state, the spatial hand path remained unchanged, with a greater duration of the catch, the insweep and the outsweep phases (Aujouannet et al., 2006). A 4*100 Front Crawl test until exhaustion demonstrated larger muscular recruitments obtained during the insweep phase and the antagonist activities increases (Rouard et al., 1997). Caty et al. (2007) found an important stabilization of the wrist and high antagonist flexor and extensor carpi activity during the insweep phase (Caty et al., 2007). On the other hand, in outsweep phase, less stabilization and lower antagonist activities were noted (Caty et al., 2007). Fatigue analysis showed an increase in latissimos dorsi and triceps braquialis during 100m all out Front Crawl (Stirn et al., 2010). When increasing distance to 200m, the inability to maintain swimming velocity in the last laps was coincident with the increase of the fatigue indices for the flexor carpi radialis, biceps brachii, triceps brachii, pectoralis major, upper trapezius, rectus femoris and biceps femoris (Figueiredo et al., 2010).
The main focus of swimming researchers is to enhance performance. From a historic perspective, a large part of the research dedicated to competitive swimming aims to identify variables that determine the performance. This can be considered as an exploratory research trend. Very recently, confirmatory data analysis became another topic of interest. In such research designs, researchers try to understand the relationships between the variables identified in previous researches and model the links among them and performance (Barbosa et al., 2010b).
With exploratory research the aim is to identify from several biomechanical variables those that are associated or related to the swimming performance. This kind of research has been developed based on (Barbosa et al., 2010b): (i) comparing cohort groups; (ii) applying exploratory regression models and; (iii) implementing neural network procedures.
The comparison of cohort groups is done comparing mean values or analyzing the variation of some selected biomechanical variables between different competitive level sub-sample groups. For instance, compare expert versus non-expert swimmers, national level versus international/elite level swimmers or, world championships and Olympic Games finalists versus non-finalists. It is obvious that better competitive level is related to a higher swim velocity. On the other hand, higher swim velocity, from better swimmers, is achieved by an increasing stroke length than remain swimmers (Craig et al., 1985; Vilas-Boas, 1996; Leblanc et al., 2007; Seifert et al., 2007). Higher level swimmers also present a higher efficiency, which is expressed by a higher stroke index (Sánchez et al., 2002; Jesus et al., 2011). During high-standard competitions, world-ranked swimmers already maintain a high stroke length. Therefore their biomechanical strategy to increase the swim velocity is to increase as well the stroke rate (Jesus et al., 2011). At least one study attempted to compare the stroke cycle kinematics between World championships medalists versus remaining finalists. There were no significant differences in the stroke kinematics between medallists and non-medallists. As both cohort groups have a very small gap performance, differences between them might be explained by other variables (Jesus et al., 2011). There are also some limb’s kinematics differences according to competitive level. The elite swimmers posses a great strength and power to accelerate through the water. They present a limb’s kinematics making them able to apply it effectively. Plus, the same limb’s kinematics also aims to maintain a better body streamlining position to reduce drag force (Cappaert et al., 1996). For instance, comparing elite versus non-elite swimmers, participating in world championships and Olympic Games (Cappaert et al., 1996;): (i) the trunk angle is lower and there is a higher elbow extension during the finish phase of the pulling pattern for elite than for non-elite swimmers swimming Butterfly stroke; (ii) there is a higher body roll and a higher emphasis in the kicking for elite backstrokes than non-elite ones; (iii) in Breaststroke, timing between arm’s and leg’s actions is a key factor as non-elite swimmers sometimes achieve a null body velocity within a stroke cycle; (iv) a higher elbow position is required to achieve higher propulsion and a higher body roll in Front Crawl, as done by elite swimmers in comparison to non-elite. Few studies suggest that better competitive level swimmers also present a lower intra-cyclic variation of the body’s swimming velocity (Manley and Atha, 1996; Takagi et al., 2004). This seems consistent in Breaststroke but less obvious in remaining swim strokes and should be clear out in near future.
Another possibility is to develop statistical models to identify the best biomechanical predictors of swimming performance. Stroke length was related to swimming economy (Costill et al., 1985) and this one to swimming performance. One attempted was made to determine the stroke cycle variables that are related to Olympic swimmers performance. However, stroke rate, stroke length and stroke index did not correlated significantly with the performance (Arellano et al., 2001). As reported in the previous paragraph, the arguably best swimmers in the world make it difficult to see trends in these variables on the basis of stroke variations. Some papers report the prediction of children swimming performance. The stroke index for the boys (Saavedra et al., 2003; 2010; Vitor & Bohem, 2010) and the mean velocity of a 50-m maximal bout for girls were included in the final models (Saavedra et al., 2003). In both genders, from 9 to 22 years-old, for the 50-m freestyle event, increases in the swim velocity happen due to increases in the stroke length and stroke index (Morales et al., 2010).
Neural network is a somewhat recent approach to solve complex problems to model a given phenomena (Fig. 6). Few attempts were made to apply this data analysis procedure to model swimming performance (Pffier & Hohmann, in press). Modeling the 400-m freestyle performance in young male swimmers, based on several variables including kinetic and kinematical ones, the estimation error was 7±7.8% and for the 200-m medley performance 1.7±13.3% (Silva et al., 2007). Same trend was reported in another couple of papers that included Front crawl and Backstroke techniques, gliding in supine and back positions to predict the 50-m Backstroke (Lobenius, 2003) and the stroke rate, swim velocity to predict the 50-m freestyle event (Hohman & Seidel, 2010).
Example of a performance modeling accomplished by a feed forward neural network with three neurons in a single hidden layer.
This procedure consists of a mathematical approach for testing and estimating causal relationships using a combination of statistical data and qualitative causal assumptions previously defined by the researcher to be (or not to be) confirmed. This approach rather than to identify variables, suggests the kind of interplay existing among them (Barbosa et al., 2010d). Hence, structural equating modeling allows analyzing the hypothetical relationships between several biomechanical variables with swim performance and the model’s good-of-fit. Indeed this approach is often used on other scientific domains although it is not so popular in the sport’s performance, including competitive swimming. To the best of our knowledge this procedure only was applied for young swimmers.
One paper reported the development of a path-flow analysis model for young male swimmers’ performance based on biomechanical and energetics variables (Fig. 7). The model included variables such as the stroke length, stroke rate, stroke index, and swim velocity. The confirmatory model explained 79% of the 200-m freestyle performance and being suitable of the theory presented (Barbosa et al., 2010d). One other study developed a structural equation modeling for active drag force based on anthropometric, hydrodynamic (i.e., frontal surface area, drag coefficient) and biomechanical variables (i.e., stroke length, stroke rate and swim velocity) in young boys (Barbosa et al., 2010e). The confirmatory model explained 95% of the active drag after the elimination of the frontal surface area. Main limitation of the model is related to the frontal surface area estimation equation that does not fit in the model. The confirmatory model included all selected anthropometrical variables, prone gliding test, stroke length, stroke frequency and velocity. Final model excluded the vertical buoyancy test. The confirmatory path-flow model good-of-fit was considered as being very close to the cut-off value, but even so not suitable of the theory. Vertical buoyancy and prone gliding tests are easy and cheap procedures to assess swimmer’s kinetics. However, both procedures are not the best techniques to assess the swimmer’s hydrostatic and hydrodynamic profile, respectively. Hohmann and Seidel (2010) predicted 41% of girl’s 50-m freestyle performance based on psychological, technique (i.e., stroke rate, swim velocity, limb’s coordination), physical conditioning and anthropometrical variables.
The final confirmatory model about the relationship between biomechanics, energetics and swimming performance. The model includes the stroke length (SL), stroke frequency (SF), swimming velocity (v), stroke index (SI), propulsive efficiency (ηp), critical velocity (CV) and performance.
There are several biomechanical variables determining the competitive swimmer’s performance. For instance, some of those are kinematics variables (e.g., stroke length, stroke frequency, speed fluctuation, limbs’ kinematics), kinetics variables (e.g., propulsive drag, lift force, drag force) and neuromuscular variables.
Attempts are being made nowadays to understand the links between all these variables and how it is possible to enhance performance manipulating it. Some models about these relationships are already at the disposal of practitioners. Moreover, a great effort is done by researchers and coaches to assess, to compare and to manipulate these variables from times to times to define goals, establish milestones in the periodization program or even predict the swimmers performance.
The alkali and alkaline earth metal cations have inert gas electronic structures and are not expected to show any stereochemical requirements in their complex formation as do transition metal cations. They may be considered spherical even in the complex state. Their complexation is thus treated as recognition of spherical cations by organic ligands [1]. Depending upon the nature of the organic ligand and the anion, the metal ions can be separated as solvated ions, solvent separate, loose and tight ion pairs.
Alkali and alkaline earth metal ions form a large number of solid complexes with podands [2, 3, 4, 5, 6]. The podands are inherently flexible because the two ends of the molecule are not tied simultaneously. Polypodal ligands are acyclic multidentate ligands containing more than three arms. They form an unlimited family of structures which finally give rise to dendrimers. A predominant 1:1 complexation has also been observed in alkali and alkaline earth metal complexes of the tetra- and pentapodands. The stability constants of the terapodands are generally lower than those of the corresponding tripodands because of more severe steric hindrance to complexation [7]. Vögtle and coworkers have indicated that the ligands resembling tetrapodands are capable of forming 1:1 complexes with s-block metal ions [8, 9].
The s-block elements present a usual challenge in the molecular modeling, because the metal-ligand interactions in both cases are principally electrostatic. The types of alkali and alkaline earth metal complexes subjected to molecular modeling can be divided into five categories: crown ethers [10, 11, 12, 13, 14, 15, 16], cryptands [17, 18], spherands [19, 20], podands and other biologically important ligands, such as ionophores and cyclic antibiotics [21, 22, 23, 24] . The present work has been undertaken with the aim to computationally characterize the structure and nature of complexes of s-block metal ions with the tetrapodands THEEN and THPEN. Recently the computational studies of these tetrapodal ligands with Cu(II), Ag(I) and La(III) have been reported. Recently, synthesis, crystal structure and biological properties of [Co(edtp)Cl]·NO3·H2O complex was also determined, where edtp is N,N,N′,N′-Tetrakis(2-hydroxypropyl) ethylenediamine in which Co2+ ion is coordinated by the N,N′,O,O′,O″-pentadentate edtp ligand and a chloride to generate a distorted CoClN2O3 octahedron [25, 26, 27, 28].
From the last 3 decades density functional theory has been the dominant method for the quantum mechanical simulation of periodic systems. In recent years it has also been adopted by quantum chemists and is now very widely used for the simulation of energy surfaces in molecules. The quantum-chemical calculations (DFT calculations) giving molecular geometries of minimum energies, molecular orbitals (HOMO-LUMO), 13C-NMR and vibrational spectra were performed using the Gaussian 09 [29]. Molecular orbitals were visualized using “Gauss view”. The method used was Becke’s three-parameter hybrid-exchange functional, the nonlocal correlation provided by the Lee, Yang and Parr expression, and the Vosko, Wilk, and Nuair 1980 local correlation functional (III) (B3LYP) [30, 31]. The 6-31 g + (d,p) basis set was used for C, N and O. The LANL2DZ basis set [32] and pseudopotentials of Hay and Wadt were used for Ca, Sr, Ba and Na metal atoms [33, 34]. DFT calculations were performed in the gaseous phase and the input coordinates were obtained from and then compared with crystal structure data of already reported complexes: [Ca(THEEN)(PIC)](PIC),[Ca(THPEN)(H2O)2](PIC)2, Ba(THPEN)(PIC)2, [Na(THPEN)]2(PIC)2, [Sr(THPEN)(H2O)2]2(DNP)4 and [Ba(THPEN)(H2O)2]2(DNP)4 (where DNP is 3,5-dinitrophenolate) [35]. The structural parameters were adjusted until an optimal agreement between calculated and experimental structure obtained throughout the entire range of available structures. HOMO-LUMO analyses and spectroscopic calculations were performed on the optimized geometries of the title complexes (1–6) using B3LYP/6-31 g + (d,p)/LANL2DZ level of theory.
Complexes (1–6) were successfully modeled by using the input coordinates of crystal data. Tables 1 and 2 represent comparison of calculated and experimental M-Ligand bond lengths (Å) of complexes (1–3) and (4–6), respectively. The picrates and dinitrophenolates that are excluded from the primary coordination spheres of metal atoms in the crystallographic determinations, are not optimized in the computed structures. Tables 3 and 4 represent comparison of calculated and experimental torsion angles of ligand in complexes (1–3) and (4–6) respectively.
Complex 1 (M = Ca) | Complex 2 (M = Ca) | Complex 3 (M = Ba) | |||||||
---|---|---|---|---|---|---|---|---|---|
Theo. | Exp. | Dev. | Theo. | Exp. | Dev. | Theo. | Exp. | Dev. | |
M-O1 | 2.450 | 2.410 | 0.040 | 2.389 | 2.341 | 0.048 | 2.720 | 2.722 | −0.002 |
M-O2 | 2.450 | 2.380 | 0.070 | 2.495 | 2.498 | −0.003 | 2.807 | 2.812 | −0.006 |
M-O3 | 2.410 | 2.480 | 0.070 | 2.753 | 2.753 | 0.000 | |||
M-O4 | 2.410 | 2.370 | 0.040 | 2.812 | 2.816 | −0.004 | |||
M-O5 | 2.681 | 2.687 | −0.006 | ||||||
M-O6 | 3.127 | 3.135 | −0.008 | ||||||
M-O12 | 2.310 | 2.30 | 0.01 | 2.728 | 2.735 | −0.007 | |||
M-O13 | 2.470 | 2.73 | 0.26 | ||||||
M-O18 | 2.977 | 2.990 | −0.013 | ||||||
M-O1W | 2.440 | 2.442 | −0.002 | ||||||
M-O2W | |||||||||
M-N1 | 2.824 | 2.591 | 0.233 | 2.601 | 2.603 | −0.002 | 3.038 | 3.042 | 0.004 |
M-N2 | 2.738 | 2.658 | 0.08 | 3.026 | 3.032 | −0.006 |
Comparison of experimental and calculated M-ligand bond lengths (Å) of complexes (1–3).
Complex 4 (M = Na) | Complex 5 (M = Sr) | Complex 6 (M = Ba) | |||||||
---|---|---|---|---|---|---|---|---|---|
Theo. | Exp. | Dev. | Theo. | Exp. | Dev. | Theo. | Exp. | Dev. | |
M-O1 | 2.412 | 2.416 | −0.004 | 2.617 | 2.628 | −0.011 | 2.736 | 2.743 | −0.007 |
M-O2 | 2.393 | 2.396 | −0.003 | 2.611 | 2.618 | −0.007 | 2.763 | 2.767 | −0.004 |
M-O3 | 2.505 | 2.508 | −0.003 | 2.506 | 2.516 | −0.010 | 2.756 | 2.762 | −0.006 |
M-O4 | 2.628 | 2.632 | −0.004 | 2.618 | 2.626 | −0.008 | 2.658 | 2.668 | −0.010 |
M-O1W | 2.701 | 2.711 | −0.010 | 2.880 | 2.884 | −0.004 | |||
M-O2W | 2.699 | 2.705 | −0.006 | 2.988 | 2.995 | −0.007 | |||
M-O2WA | 2.726 | 2.732 | −0.006 | ||||||
M-N1 | 2.835 | 2.842 | −0.007 | 3.009 | 3.008 | −0.001 | |||
M-N2 | 2.849 | 2.857 | −0.008 | 3.010 | 3.010 | 0.000 |
Comparison of experimental and calculated M-ligand bond lengths (Å) of complexes (4–6).
Name of the | Complex (1) | Complex (2) | Complex (3) | ||||||
---|---|---|---|---|---|---|---|---|---|
Atoms | Theo. | Exp. | Dev. | Theo. | Exp. | Dev. | Theo. | Exp. | Dev. |
O1-C1-C2-N1 | −55.1 | −55.05 | 0.05 | 57.9 | 58.0 | 0.1 | −32.3 | −32.4 | −0.1 |
C1-C2-N1-C5 | 165.1 | 165.1 | 0.0 | 82.8 | 82.7 | 0.1 | 161.9 | 162.0 | 0.1 |
C2-N1-C5-C6 | −159.0 | −159.0 | 0.0 | −165.5 | −165.5 | 0.0 | −157.6 | −157.8 | −0.2 |
N1-C5-C6-N2 | 65.4 | 65.3 | 0.1 | 60.4 | 60.5 | 0.1 | 65.9 | 66.1 | 0.2 |
C5-C6-N2-C8 | −159.1 | −159.0 | 0.1 | −159.3 | −159.4 | 0.1 | |||
C6-N2-C8-C7 | 89.1 | 89.1 | 0.0 | 163.6 | 163.7 | 0.1 | |||
N2-C8-C7-O3 | 60.9 | 60.9 | 0.0 | −34.1 | −34.2 | −0.1 | |||
O2-C3-C4-N1 | 36.5 | 36.7 | 0.2 | 55.5 | 55.6 | 0.1 | 46.8 | 46.9 | −0.1 |
C3-C4-N1-C5 | −121.6 | −121.7 | −0.1 | −161.0 | −161.0 | 0.0 | −132.6 | −132.7 | −0.1 |
C4-N1-C5-C6 | 77.2 | 77.2 | 0.0 | 72.6 | 72.6 | 0.0 | 83.7 | 83.8 | 0.1 |
C5-C6-N2-C10 | 79.4 | 79.4 | 0.0 | 79.0 | 79.1 | 0.1 | |||
C6-N2-C10-C9 | −151.8 | −151.8 | 0.0 | −134.9 | −134.9 | 0.0 | |||
N2-C10-C9-O4 | 61.3 | 61.4 | 0.1 | 52.1 | 52.2 | 0.1 |
Comparison of calculated and experimental torsion angles (°) of ligand in the complexes (1–3).
Name of the | Complex (4) | Complex (5) | Complex (6) | ||||||
---|---|---|---|---|---|---|---|---|---|
Atoms | Theo. | Exp. | Dev. | Theo. | Exp. | Dev. | Theo. | Exp. | Dev. |
Complex | −55.6 | −55.7 | −0.1 | 32.3 | 32.3 | 0.0 | −43.4 | −43.5 | 0.1 |
O1-C1-C2-N1 | 152.7 | 152.6 | 0.1 | −143.9 | −143.9 | 0.0 | 162.3 | 162.4 | 0.1 |
C1-C2-N1-C5 | −80.2 | −80.2 | 0.0 | 86.1 | 86.1 | 0.0 | −92.7 | −92.8 | 0.1 |
C2-N1-C5-C6 | −64.0 | −63.9 | −0.1 | 43.6 | 43.6 | 0.0 | −50.1 | −50.1 | 0.0 |
N1-C5-C6-N2 | 165.5 | 165.4 | 0.1 | −146.4 | −146.4 | 0.0 | 156.5 | 156.7 | 0.2 |
C5-C6-N2-C8 | −85.7 | −85.7 | 0.0 | 156 | 155.9 | 0.1 | −89.6 | −89.9 | 0.3 |
C6-N2-C8-C7 | −60.3 | −60.4 | −0.1 | −44.7 | −44.7 | 0.0 | −30.4 | −30.4 | 0.0 |
N2-C8-C7-O3 | −59.7 | −59.8 | −0.1 | −17.4 | −17.4 | 0.0 | 47.8 | 48.1 | 0.3 |
O2-C3-C4-N1 | −91.0 | −91.1 | −0.1 | 112.7 | 112.7 | 0.0 | −135.1 | −135.2 | 0.1 |
C3-C4-N1-C5 | 156.0 | 156.0 | 0.0 | −159.1 | −159.2 | 0.1 | 151.9 | 151.9 | 0.0 |
C4-N1-C5-C6 | −72.4 | −72.5 | −0.1 | 97.4 | 97.4 | 0.0 | −92.1 | −92.4 | 0.3 |
C5-C6-N2-C10 | 156.6 | 156.6 | 0.0 | −151.8 | −151.8 | 0.0 | 143.4 | 143.9 | 0.5 |
C6-N2-C10-C9 | −59.2 | −59.3 | −0.1 | 41.6 | 41.7 | 0.1 | 5.1 | 4.9 | 0.3 |
N2-C10-C9-O4 | −55.6 | −55.7 | −0.1 | 32.3 | 32.3 | 0.0 | −43.4 | −43.5 | 0.1 |
Comparison of experimental and calculated and torsion angles (°) of ligand in the complexes (4–6).
The coordination number of Ca(II) ion is eight with distorted cube geometry in the optimized geometry of cationic complex (1) (Figure 1). THEEN is interacting with Ca(II) ion through all the six potential donor atoms. The seventh and eighth coordination sites of Ca(II) are occupied by picrate anion through phenolic oxygen and one of the o-nitro oxygen. The observed and calculated positions of calcium and donor atoms are in agreement. A comparison of bond lengths and bond angles provided a maximum tolerance of 0.27 Å and 16.33°Å, respectively (Table 1 and Table S1; Figure S1a,b) of computed title complex (1) and crystallographically determined complex [Ca(THEEN)(PIC)](PIC). The torsion angles of the ligand THEEN in theoretically determined and experimental complex are also in well consistency with each other (Table 3). The HOMO-LUMO analysis has indicated that there is maximum distribution of HOMO over the carbon atoms and to a lesser extent on the oxygen of the coordinated picrate. LUMO is mainly distributed or concentrated on all the atoms of coordinated picrate except p-nitro group. Neither HOMO nor LUMO distribution is found either on calcium ion or on any ligand atom. The HOMO-LUMO gap (ΔE) is found to be 0.852 eV (Figure S1c).
(a) Optimized geometric structure of [Ca(THEEN)(PIC)]+ (1) (b) distorted cube geometry.
Ca(II) is eight coordinated in monomeric cationic complex with a distorted square-antiprismatic geometry in complex (2) as is observed in crystal structure of [Ca(THPEN)(H2O)2] (PIC)2. H2O (Figure 2). THPEN is acting as hexadentate ligand towards the metal ion. Two remaining sites around the metal ion are occupied by two water molecules. The observed and calculated positions of calcium and donor atoms are in agreement. All strain energy minimized structures reproduced the observed X-ray structures with almost no deviation in M-L bond length and torsion angle of the ligand (Table 3). The maximum tolerance of L-M-L bond angle is 15.8° (Tables 1 and Table S1, Figure S2a,b). Complex 2 is displaying the main distribution of HOMO as well as LUMO only on water molecules. There is slight distribution of HOMO and LUMO on hydroxyl oxygen of THPEN ligand also with HOMO-LUMO gap (HLG) of 0.419 eV (Figure S2c).
(a) Optimized geometric structure of [Ca(THPEN)(H2O)2]2+ (2) (b) distorted square-antiprismatic geometry.
Ba(II) is ten-coordinate in its monomeric complex (3) (Figure 3). The ligand THPEN coordinates through both its nitrogen atoms and all the four hydroxyl oxygen. The two picrate ions are also directly coordinated to Ba2+ ion through the phenolic oxygen and one oxygen of the o-nitro group. Since both the picrates are directly interacting with the cation, the complex is termed as tight ion-paired complex as is found in the crystallographically determined complex. The observed and calculated positions of barium and donor atoms are in agreement. There is negligible deviation found in bond length, bond angle (0.11°) and torsion angle of ligand THPEN for calculated title complex (3) and experimental Ba(THPEN)(PIC)2 (Tables 1 and 3 and S1, Figure S3a,b). An analysis of HOMO-LUMO has illustrated that HOMO is mainly distributed on the ligand THPEN with a small distribution on coordinated picrates. In contrast to this LUMO is mainly distributed on coordinated picrates with no distribution over the ligand or metal atom. The complex is showing HLG of 0.118 eV (Figure S3c).
(a) Optimized geometric structure of Ba(THPEN)(PIC)2 (3) (b) bicapped square-antiprismatic geometry.
Figure 4a shows the optimized structure of the cationic complex of sodium (4). This structure is centrosymmetric dimer. The coordination number around each Na+ ion is seven. Each THPEN ligand coordinates to Na(I) ion in a heptadenate fashion (Figure 4). In other words, one hydroxyl group of the THPEN ligand acts as a bridge between two Na+ ions. The geometry of the complex is distorted monocapped octahedron. The Na…Na non bridging distance is 3.429 Å. Almost no deviation has been observed in bond length (M-L), torsion angle of ligand THPEN and bond angles (L-M-L) of computed title complex (4) and crystallographically determined complex [Na(THPEN)]2(PIC)2 (Tables 2 and 4 and Table S1, Figures S4a,b). The HOMO-LUMO study has revealed that in the title complex (4) HOMO is mainly concentrated on bridged hydroxyl oxygens and sodium metal but to a smaller extent on the other coordinated hydroxyl oxygens and amine nitrogens. LUMO is mainly concentrated on bridged hydroxyl oxygens and to a smaller extent on other coordinated oxygen atoms. The HOMO-LUMO gap is 0.261 eV (Figure S4c).
(a) Optimized geometric structure of [Na(THPEN)]22+(4) (b) distorted monocapped octahedron geometry.
Sr(II) is nine-coordinated in its dimeric complex (5) (Figure 5). This cationic complex is having tricapped trigonal-prismatic geometry as is found in crystallographically determined complex [Sr(THPEN)(H2O)2]2(DNP)4. Each Sr2+ ion in the complex is coordinated by six potential donor sites of the ligand THPEN and four water molecules. Out of four water molecules, two are bridging and the third one is non-bridging. Sr…Sr non bridging distance is 4.346 Å indicating the existence of van der Waals contact. All strain energy minimized structures reproduced the observed X-ray structures to a maximum tolerance of 9.07° bond angle (Table 2 and Table S1, Figure S5a,b). Almost no deviation of M-L bond length and torsion angle of ligand THPEN has been observed for the title complex (5) and crystallographically determined complex (Tables 2 and 4). The HOMO-LUMO analysis has shown that the complex (5) is having maximum distribution of HOMO and LUMO on bridged coordinated water molecules and there is HLG of 0.0225 eV (Figure S5c).
(a) Optimized geometric structure of [Sr(THPEN)(H2O)2]2(DNP)4 (b) Trigonal- prismatic geometry.
Ba(II) is ten-coordinate in the cationic title complex (6) as is found in the crystallographic determined complex [Ba(THPEN)(H2O)2](DNP)4. The geometry around Ba(II) is bicapped cubic. Each Ba(II) in dimer is interacting with THPEN through all its six potential donor sites and four water molecules. The latter are bridging in nature. The existence of van der Waals contact between non-bridging Ba…Ba is indicated by their larger distance (4.196 Å). The observed and calculated positions of the metal and donor atoms are in agreement as almost negligible deviation of M-L bond length and torsion angle of THPEN. A deviation of 0.14° of bond angle L-M-L has been observed for complex (6) [Ba(THPEN)(H2O)2](DNP)4 (Tables 2 and 4 and Table S1; Figures S6a,b and S7). The region of distribution of HOMO and LUMO is only over two of the bridged water molecules in complex (6) with a very small HOMO-LUMO gap (ΔE = 0.0375 eV) indicating the soft nature of complex (Figure 6).
(a) Optimized geometric structure of [Ba(THPEN)(H2O)2]22+ (6) (b) Bicapped cubic geometry.
Smaller is the HUMO-LUMO gap (HLG) softer is the complex [36, 37]. The frontier orbitals HOMO and LUMO are very important parameters for chemical reaction and take part in chemical stability [38, 39, 40]. It is predicted from the HOMO-LUMO gaps that the title complexes are soft as is obvious from their smaller HUMO-LUMO energy gaps (HLG) relative to the similar reported complexes of copper, silver and lanthanoid [25, 26, 27] (Table 5). It has been observed in the present computational study that the dinitrophenolate complexes are softer than trinitrophenolate and among the latter, [Ca(THEEN)(PIC)]+ (1) is displaying least softness. It is pertinent to mention here that the complex (1) is having THEEN ligand whereas THPEN is ligand in rest of the complexes (2–6).
HLG (eV) | Reported complexes | HLG (eV) | Reported complexes | HLG (eV) | |
---|---|---|---|---|---|
[Ca(THEEN)(PIC)]+ (1) | 0.852 | [Cu(THEEN)(H2O)](PIC)2 | 3.537 | [La(THEEN)(PIC) (H2O)2] (PIC)2.2H2O | 3.428 |
[Ca(THPEN)(H2O)2]2+ (2) | 0.419 | [Cu(THPEN)](PIC)2.C3H8O | 3.467 | [La(TEAH3)(H2O)2] (PIC)3 | 3.673 |
Ba(THPEN)(PIC)2 (3) | 0.118 | [Cu(TEAH3)(PIC)](PIC).H2O | 3.619 | ||
[Na(THPEN)]22+ (4) | 0.261 | [Ag (THEEN)]2 (PIC)2 | 2.530 | ||
[Sr(THPEN)(H2O)2]22+ (5) | 0.0225 | [Ag (THPEN)]2 (PIC)2 | 2.640 | ||
[Ba(THPEN)(H2O)2]22+ (6) | 0.0375 | [Ag(TEAH3)2] (PIC) | 1.061 |
Nuclear magnetic resonance spectra (NMR) and infrared (IR) spectroscopy can be useful for studying the coordination of various ligating sites. The 13C-NMR spectra were predicted for complexes (1–6) using DFT/B3LYP/6-31G** method and the spectral data was compared with experimental data reported in literature [35]. The computed NMR spectral data is fairly in agreement with experimental data (Tables 6 and 7). Small deviations are due to the fact that H-bonding interactions or any type of lattice interactions are not modeled in theoretically computed structures. The terminal methyl groups in theoretically predicted complexes (2–5) are displaying quiet high upfield shifts relative to the experimentally obtained due to more free movements in the gaseous phase than in solution or solid phase.
Assignments (δ) | [Ca(THEEN)(PIC)]+ (1) | Ba(THPEN)(PIC)2 (3) | ||
---|---|---|---|---|
Theo. | Exp. | Theo. | Exp. | |
▬CH3 | * | * | 4.22 | 19.61 |
▬CH3 | 4.49 | 19.89 | ||
▬NCH2 | 52.31 | 55.03 | 51.73 | 55.34 |
▬NCH2 | 43.35 | 55.20 | ||
▬OCH2, ▬OCH | 59.03 | 57.47 | 50.75 | 63.00 |
▬ArCH | 113.63 | 124.33 | 117.85 | 124.36 |
p-ArCN | 134.75 | 123.60 | 122.06 | 123.68 |
o-ArCN | 140.68 | 140.78 | 140.98 | 140.78 |
▬ArCO | 161.57 | 160.20 | 150.21 | 160.20 |
Comparison of calculated and experimental 13C-NMR spectral data for complexes (1 and 3).
* Group absent.
Assignment (δ) | [Ca(THPEN)(H2O)2]2+ (2) | [Na(THPEN)]22+ (4) | [Sr(THPEN)(H2O)2]22+ (5) | [Ba(THPEN)(H2O)2]22+ (6) | ||||
---|---|---|---|---|---|---|---|---|
Theo. | Exp. | Theo. | Exp. | Theo. | Exp. | Theo. | Exp. | |
▬CH3 | 11.35 | 18.79 | 4.01 | 20.30 | 3.77 | 18.31 | 27.02 | 18.35 |
▬CH3 | 11.38 | 19.02 | 5.63 | 20.36 | 3.85 | 18.59 | 27.69 | 18.63 |
▬NCH2 | 39.60 | 50.99 | 43.05 | 50.42 | 43.60 | 48.31 | 61.69 | 59.80 |
▬NCH2 | 39.61 | 51.76 | 44.05 | 52.90 | 57.81 | 59.68 | 61.69 | 60.59 |
▬OCH | * | * | 50.73 | 55.73 | 41.85 | 60.62 | 60.37 | 60.66 |
▬OCH | 69.24 | 61.74 | 57.90 | 55.95 | 51.91 | 61.08 | 60.38 | 62.53 |
Comparison of calculated and experimental 13C-NMR spectral data for complexes (2, 4–6).
* Group absent.
The computed IR spectral peaks that appear in the range of 1370–600 cm−1 are fairly in agreement with the experimental data (Tables 8 and 9). The absorption peaks due to the presence of hydroxyl groups were observed only for complexes (1) and (6) in the computed IR spectra. It is pertinent to mention here that both of these complexes possess the picrate anion in their coordination sphere. The less extent of H-bonding is reported in the crystallographic description of these complexes [35]. The theoretical absorption band appears at 3223 and 3235 cm−1 for both complexes (1) and (6) whereas the experimental band is reported at 3300 cm−1 for both of them [35].
Assignments (cm−1) | [Ca(THEEN)(PIC)]+ (1) | [Ca(THPEN)(H2O)2]2+ (2) | Ba(THPEN)(PIC)2 (3) | |||
---|---|---|---|---|---|---|
Theo. | Exp. | Theo. | Exp. | Theo. | Exp. | |
ν (NO2) | 1363.56 | 1360 m | 1320.81 | 1360 vs | 1384.20 | 1370 |
δ (〓CH) | 696.80 | 700 m | 784.16 | 790 m | 800 | 800 |
Comparison of calculated and experimental IR spectral data for complexes (1–3).
Assignments (cm−1) | [Na(THPEN)]22+ (4) | [Sr(THPEN)(H2O)2]22+ (5) | [Ba(THPEN)(H2O)2]22+ (6) | |||
---|---|---|---|---|---|---|
Theo. | Exp. | Theo. | Exp. | Theo. | Exp. | |
ν (NO2) | 1366 | 1371.21 | 1330 | 1329.24 | 1340 | 1329.43 |
δ (〓CH) | 790 | 784.54 | 760 | 762.52 | 790 | 787.17 |
Comparison of calculated and experimental IR spectral data for complexes (4–6).
The coordination number of the title s-block complexes is varying from 7 to 10 in the present work. As the size of the metal increases, coordination number of central metal ion also increases. Out of the six complexes presented, three are monomeric (1–3) and three are dimeric (4–6). The longer distances between two M…M distances in the dinuclear complexes indicate the existence of van der Waals contacts between the two s-block metal ions. All the title complexes are cationic except Ba(THPEN)(PIC)2 (3). The latter is tight ion-paired complex. All strain energy minimized structures obtained using quantum-chemical approach reproduced the observed X-ray structures with geometric parameters in well agreement. HOMO-LUMO studies suggest the softness of the title s-block complexes relative to the similar already reported copper, silver and lanthanoid complexes. The theoretical spectral data (13C-NMR and IR) computed using DFT and experimental data is fairly in agreement with each other. The accuracy of the results predicts that the DFT studies performed using B3LYP/6-31 g + (d,p)/LANL2DZ level of theory is the appropriate quantum-chemical method for reproducing the experimental results for the title s-block complexes. This quantum-chemical approach has potential for molecular modeling of other s-block complexes and exploring their chemistry.
Small deviations in geometric as well as spectral parameters may be attributed to the lack of H-bonding and packing interactions within lattice which were not modeled during the computational study of the entitled s-block complexes. Moreover, the quantum-chemical approach of DFT studies has been carried out in the gaseous phase whereas the already reported experimental crystal and IR spectral data is in the solid phase while 13C-NMR spectral data is in the solution phase.
Plot showing the deviations of theoretical and experimental (a) bond lengths (Å) and (b) bond angles (°) for the complex (1) and (c) (HOMO-LUMO) of the complex (1) with energy gap.
Plot showing the deviations of theoretical and experimental (a) bond lengths (Å) and (b) bond angles (°) for the complex (2) (c) (HOMO-LUMO) of the complex (2) with energy gap.
Plot showing the deviations of theoretical and experimental (a) bond lengths (Å) and (b) bond angles (°) for the complex (3) (c) (HOMO-LUMO) of the complex (3) with energy gap.
Plot showing the deviations of theoretical and experimental (a) bond lengths (Å) and (b) bond angles (°) for the complex (4) (c) (HOMO-LUMO) of the complex (4) with energy gap.
Plot showing the deviations of theoretical and experimental (a) bond lengths (Å) and (b) bond angles (°) for the complex (5) (c) (HOMO-LUMO) of the complex (5) with energy gap.
Plot showing the deviations of theoretical and experimental (a) bond lengths (Å) and (b) bond angles (°) for the complex (6) (c) (HOMO-LUMO) of the complex (6) with energy gap.
R = H, THEEN; R = CH3, THPEN.
Bond distances (Å) | Theoretical | Experimental | Dev. | Bond angles (°) | Theoretical | Experimental | Dev. |
---|---|---|---|---|---|---|---|
Complex (1) | |||||||
Ca-N1 | 2.600 | 2.600 | 0.000 | N1-Ca-N1A | 71.54 | 71.60 | 0.06 |
Ca-O1 | 2.387 | 2.388 | 0.001 | N1-Ca-O2A | 81.41 | 65.52 | 15.89 |
Ca-O2 | 2.495 | 2.496 | 0.001 | N1-Ca-O1W | 119.08 | 119.09 | 0.01 |
Ca-O1W | 2.439 | 2.439 | 0.000 | N1-Ca-O1WA | 143.89 | 143.89 | 0.00 |
O1-Ca-O2 | 102.93 | 102.95 | 0.02 | ||||
O1-Ca-N1 | 67.80 | 67.79 | 0.01 | ||||
O1-Ca-O1W | 79.82 | 79.85 | 0.03 | ||||
O1-Ca-N1A | 132.22 | 132.22 | 0.00 | ||||
O1-Ca-O2A | 84.37 | 84.36 | 0.01 | ||||
O1-Ca-O1A | 159.11 | 159.10 | 0.01 | ||||
O1-Ca-O1WA | 83.52 | 83.54 | 0.02 | ||||
O2-Ca-N1 | 65.50 | 65.52 | 0.02 | ||||
O2-Ca-O1W | 74.11 | 74.10 | 0.01 | ||||
O2-Ca-N1A | 81.42 | 81.40 | 0.02 | ||||
O2-Ca-O2A | 139.33 | 139.89 | 0.56 | ||||
O2A-Ca-O1W | 145.88 | 145.90 | 0.02 | ||||
Complex (2) | |||||||
Ca-O1 | 2.45 | 2.41 | 0.04 | O1-Ca-O2 | 94.43 | 102.08 | 7.65 |
Ca-O2 | 2.45 | 2.38 | 0.07 | O1-Ca-O3 | 172.00 | 175.21 | 3.21 |
Ca-O3 | 2.41 | 2.48 | 0.07 | O1-Ca-O4 | 85.56 | 74.35 | 11.21 |
Ca-O4 | 2.41 | 2.37 | 0.04 | O1-Ca-O12 | 107.80 | 104.18 | 3.62 |
Ca-O12 | 2.31 | 2.30 | 0.01 | O1-Ca-O13 | 61.91 | 64.85 | 2.94 |
Ca-O13 | 2.47 | 2.73 | 0.26 | O1-Ca-N1 | 65.93 | 68.50 | 2.57 |
Ca-N1 | 2.74 | 2.59 | 0.15 | O1-Ca-N2 | 104.33 | 115.49 | 11.16 |
Ca-N2 | 2.82 | 2.65 | 0.17 | O2-Ca-O3 | 90.99 | 79.27 | 11.72 |
O2-Ca-O4 | 180.00 | 168.65 | 11.35 | ||||
O2-Ca-O12 | 108.06 | 107.20 | 0.86 | ||||
O2-Ca-O13 | 61.38 | 69.92 | 8.54 | ||||
O2-Ca-N1 | 64.20 | 68.43 | 4.23 | ||||
O2-Ca-N2 | 114.39 | 105.72 | 8.67 | ||||
O3-Ca-O4 | 89.01 | 105.24 | 16.23 | ||||
O3-Ca-O12 | 75.95 | 71.06 | 4.89 | ||||
O3-Ca-O13 | 126.03 | 110.69 | 15.34 | ||||
O3-Ca-N1 | 111.54 | 116.18 | 4.64 | ||||
O3-Ca-N2 | 67.97 | 68.26 | 0.29 | ||||
O4-Ca-O12 | 71.93 | 84.20 | 12.27 | ||||
O4-Ca-O13 | 118.62 | 116.91 | 1.71 | ||||
O4-Ca-N1 | 115.80 | 100.38 | 15.42 | ||||
O4-Ca-N2 | 65.61 | 67.36 | 1.75 | ||||
O12-Ca-O13 | 71.32 | 62.19 | 9.13 | ||||
O12-Ca-N1 | 168.56 | 169.55 | 0.99 | ||||
O12-Ca-N2 | 123.47 | 120.54 | 2.93 | ||||
O13-Ca-N1 | 97.26 | 107.46 | 10.2 | ||||
O13-Ca-N2 | 163.73 | 175.60 | 11.87 | ||||
N1-Ca-N2 | 67.95 | 69.92 | 1.97 | ||||
Complex (3) | |||||||
Ba-O1 | 2.720 | 2.720 | 0.000 | O1-Ba-O2 | 86.95 | 87.00 | 0.05 |
Ba-O2 | 2.807 | 2.801 | 0.006 | O1-Ba-O3 | 172.87 | 173.00 | 0.13 |
Ba-O3 | 2.753 | 2.750 | 0.003 | O1-Ba-O4 | 88.55 | 88.50 | 0.05 |
Ba-O4 | 2.812 | 2.812 | 0.000 | O1-Ba-O6 | 72.90 | 72.90 | 0.00 |
Ba-O5 | 2.681 | 2.683 | 0.002 | O1-Ba-O12 | 61.79 | 61.80 | 0.01 |
Ba-O6 | 3.127 | 3.128 | 0.001 | O1-Ba-O18 | 109.63 | 109.70 | 0.07 |
Ba-O12 | 2.728 | 2.729 | 0.001 | O1-Ba-N1 | 58.12 | 58.10 | 0.02 |
Ba-O18 | 2.977 | 2.979 | 0.002 | O1-Ba-N2 | 114.85 | 114.80 | 0.05 |
Ba-N1 | 3.038 | 3.038 | 0.000 | O2-Ba-O4 | 129.37 | 129.40 | 0.03 |
Ba-N2 | 3.026 | 3.028 | 0.002 | O2-Ba-O6 | 64.79 | 64.80 | 0.01 |
O2-Ba-O18 | 161.62 | 160.60 | 0.02 | ||||
O2-Ba-N2 | 79.36 | 79.40 | 0.03 | ||||
O2-Ba-N1 | 57.03 | 57.12 | 0.05 | ||||
O3-Ba-O2 | 92.08 | 92.10 | 0.02 | ||||
O3-Ba-O4 | 86.61 | 86.70 | 0.09 | ||||
O3-Ba-O6 | 113.02 | 113.10 | 0.08 | ||||
O3-Ba-O18 | 72.70 | 72.80 | 0.10 | ||||
O3-Ba-N1 | 115.63 | 115.60 | 0.03 | ||||
O3-Ba-N2 | 58.06 | 58.20 | 0.14 | ||||
O4-Ba-O6 | 156.82 | 156.80 | 0.02 | ||||
O4-Ba-O18 | 63.13 | 63.20 | 0.07 | ||||
O4-Ba-N1 | 78.20 | 78.20 | 0.00 | ||||
O4-Ba-N2 | 57.43 | 57.40 | 0.03 | ||||
O5-Ba-O1 | 123.12 | 123.20 | 0.08 | ||||
O5-Ba-O2 | 85.94 | 85.90 | 0.04 | ||||
O5-Ba-O3 | 63.80 | 63.90 | 0.10 | ||||
O5-Ba-O4 | 135.92 | 135.90 | 0.02 | ||||
O5-Ba-O6 | 53.26 | 53.30 | 0.03 | ||||
O5-Ba-O12 | 84.0 | 84.00 | 0.00 | ||||
O5-Ba-O18 | 76.67 | 76.90 | 0.13 | ||||
O5-Ba-N1 | 142.90 | 142.90 | 0.00 | ||||
O5-Ba-N2 | 118.97 | 118.90 | 0.07 | ||||
O12-Ba-O2 | 133.15 | 133.20 | 0.05 | ||||
O12-Ba-O3 | 123.02 | 123.00 | 0.02 | ||||
O12-Ba-O4 | 86.45 | 86.40 | 0.05 | ||||
O12-Ba-O6 | 72.69 | 72.70 | 0.01 | ||||
O12-Ba-O18 | 54.05 | 54.00 | 0.05 | ||||
O12-Ba-N1 | 117.95 | 117.96 | 0.01 | ||||
O12-Ba-N2 | 143.78 | 143.80 | 0.02 | ||||
O18-Ba-O6 | 109.54 | 109.60 | 0.06 | ||||
O18-Ba-N1 | 140.27 | 140.40 | 0.13 | ||||
O18-Ba-N2 | 101.49 | 101.50 | 0.01 | ||||
N2-Ba-N1 | 61.27 | 61.30 | 0.03 | ||||
N2-Ba-O6 | 143.21 | 143.20 | 0.01 | ||||
N1-Ba-O6 | 102.39 | 102.40 | 0.01 | ||||
Complex (4) | |||||||
Na-N1 | 2.552 | 2.554 | 0.002 | O1-Na-O2 | 99.56 | 99.50 | 0.06 |
Na-N2 | 2.565 | 2.566 | 0.001 | O1-Na-O3 | 86.59 | 86.60 | 0.01 |
Na-O1 | 2.412 | 2.412 | 0.000 | O1-Na-O4 | 174.34 | 174.30 | 0.04 |
Na-O2 | 2.393 | 2.393 | 0.000 | O1-Na-O4A | 90.18 | 9023 | 0.05 |
Na-O3 | 2.505 | 2.505 | 0.000 | O1-Na-N1 | 69.82 | 69.82 | 0.00 |
Na-O4 | 2.628 | 2.629 | 0.001 | O1-Na-N2 | 109.13 | 109.10 | 0.03 |
Na-O4A | 2.442 | 2.443 | 0.001 | O2-Na-O3 | 164.10 | 164.13 | 0.03 |
Na-NaA | 3.429 | 3.430 | 0.001 | O2-Na-O4 | 78.26 | 78.31 | 0.05 |
O2-Na-O4A | 88.56 | 88.57 | 0.01 | ||||
O2-Na-N1 | 70.69 | 70.70 | 0.01 | ||||
O2-Na-N2 | 121.68 | 121.71 | 0.03 | ||||
O3-Na-O4 | 96.86 | 96.87 | 0.01 | ||||
O3-Na-N1 | 125.19 | 125.17 | 0.02 | ||||
O3-Na-N2 | 68.93 | 68.91 | 0.02 | ||||
O3-Na-O4A | 76.69 | 76.72 | 0.03 | ||||
O4-Na-O4A | 94.96 | 95.00 | 0.03 | ||||
O4-Na-N1 | 68.25 | 68.25 | 0.00 | ||||
O4-Na-N2 | 68.25 | 68.25 | 0.00 | ||||
N1-Na-N2 | 73.38 | 73.37 | 0.01 | ||||
N1-Na-O4A | 147.48 | 147.51 | 0.03 | ||||
N2-Na-O4A | 138.85 | 138.87 | 0.02 | ||||
Complex(5) | |||||||
Sr-O1 | 2.617 | 2.618 | 0.001 | O3-Sr-O2 | 151.28 | 158.70 | 7.42 |
Sr-O2 | 2.611 | 2.610 | 0.001 | O3-Sr-O1 | 73.24 | 77.20 | 3.96 |
Sr-O3 | 2.506 | 2.505 | 0.001 | O2-Sr-O1 | 113.98 | 114.30 | 0.32 |
Sr-O4 | 2.618 | 2.618 | 0.000 | O3-Sr-O4 | 87.91 | 88.20 | 0.29 |
Sr-O1W | 2.701 | 2.702 | 0.001 | O2-Sr-O4 | 77.89 | 73.50 | 4.39 |
Sr-O2W | 2.699 | 2.699 | 0.000 | O1-Sr-O4 | 158.36 | 151.60 | 6.76 |
Sr-O2WA | 2.726 | 2.699 | 0.000 | O3-Sr-N1 | 102.34 | 113.60 | 11.26 |
Sr-N1 | 2.835 | 2.835 | 0.000 | O4-Sr-N1 | 113.34 | 102.50 | 10.84 |
Sr-N2 | 2.849 | 2.849 | 0.000 | O3-Sr-N2 | 61.38 | 64.40 | 3.02 |
O2-Sr-N2 | 89.92 | 97.10 | 7.18 | ||||
O1-Sr-N2 | 96.80 | 90.2 | 6.60 | ||||
O4-Sr-N2 | 64.13 | 61.60 | 2.53 | ||||
O3-Sr-O2W | 106.07 | 106.40 | 0.33 | ||||
O2-Sr-O2W | 70.58 | 77.10 | 6.52 | ||||
O1-Sr-O2W | 129.35 | 140.50 | 11.15 | ||||
O4-Sr-O2W | 70.80 | 67.90 | 2.90 | ||||
O2-Sr-O1W | 79.52 | 65.40 | 14.12 | ||||
O1-Sr-O1W | 65.11 | 79.80 | 14.69 | ||||
O4-Sr-O1W | 136.42 | 127.40 | 9.02 | ||||
O3’-Sr-O1W | 126.14 | 127.90 | 1.76 | ||||
O2W-Sr-O1W | 70.75 | 71.00 | 0.25 | ||||
O2W-Sr-N2 | 128.11 | 128.40 | 0.29 | ||||
O1W-Sr-N2 | 152.06 | 152.40 | 0.34 | ||||
N1-Sr-N2 | 64.77 | 65.00 | 0.23 | ||||
O2W-Sr-N1 | 139.03 | 139.30 | 0.27 | ||||
O1W-Sr-N1 | 87.52 | 87.80 | 0.28 | ||||
Complex (6) | |||||||
Ba-O1 | 2.736 | 2.738 | 0.002 | O4-Ba-O1 | 162.70 | 162.90 | 0.20 |
Ba-O2 | 2.763 | 2.761 | 0.002 | O4-Ba-O3 | 92.45 | 92.70 | 0.25 |
Ba-O3 | 2.756 | 2.757 | 0.001 | O1-Ba-O3 | 79.69 | 80.00 | 0.31 |
Ba-O4 | 2.658 | 2.657 | 0.001 | O4-Ba-O2 | 84.25 | 84.60 | 0.35 |
Ba-O1W | 2.880 | 2.880 | 0.000 | O1-Ba-O2 | 94.22 | 94.50 | 0.28 |
Ba-O2W | 2.988 | 2.990 | -0.002 | O3-Ba-O2 | 148.19 | 148.40 | 0.21 |
Ba-N1 | 3.009 | 3.002 | 0.007 | O4-Ba-N1 | 107.19 | 107.50 | 0.31 |
Ba-N2 | 3.010 | 3.004 | 0.006 | O1-Ba-N1 | 58.19 | 58.40 | 0.21 |
O3-Ba-N1 | 91.90 | 92.00 | 0.01 | ||||
O2-Ba-N1 | 59.43 | 59.60 | 0.17 | ||||
O4-Ba-N2 | 59.95 | 61.10 | 1.15 | ||||
O1-Ba-N2 | 103.03 | 103.20 | 0.17 | ||||
O3-Ba-N2 | 58.68 | 58.80 | 0.12 | ||||
O2-Ba-N2 | 93.2 | 93.40 | 0.20 | ||||
N1-Ba-N2 | 61.84 | 62.00 | 0.16 | ||||
O4-Ba-O1W | 126.17 | 126.50 | 0.33 | ||||
O1-Ba-O1W | 66.29 | 66.50 | 0.23 | ||||
O3-Ba-O1W | 72.53 | 72.80 | 0.27 | ||||
O2-Ba-O1W | 133.50 | 133.80 | 0.30 | ||||
O1-Ba-O2W | 73.43 | 73.70 | 0.27 | ||||
O3-Ba-O2W | 131.18 | 131.50 | 0.32 | ||||
O2-Ba-O2W | 74.74 | 75.00 | 0.26 | ||||
O2W-Ba-O1WA | 59.36 | 59.50 | 0.14 | ||||
N1-Ba-O1WA | 137.03 | 137.20 | 0.17 | ||||
N1-Ba-O1W | 124.19 | 124.19 | 0.00 | ||||
N1-Ba-O2W | 106.68 | 106.90 | 0.22 | ||||
N2-Ba-O1WA | 123.73 | 124.00 | 0.27 | ||||
N2-Ba-O1W | 131.21 | 131.50 | 0.29 | ||||
N2-Ba-O2W | 166.91 | 167.00 | 0.10 | ||||
N2-Ba-O2WA | 100.84 | 100.87 | 0.03 |
Comparison of selected experimental and calculated geometric parameters bond lengths (Å) and bond angles (°) for complexes (1–6).
Authors are listed below with their open access chapters linked via author name:
",metaTitle:"IntechOpen authors on the Global Highly Cited Researchers 2018 list",metaDescription:null,metaKeywords:null,canonicalURL:null,contentRaw:'[{"type":"htmlEditorComponent","content":"New for 2018 (alphabetically by surname).
\\n\\n\\n\\n\\n\\n\\n\\n\\n\\nJocelyn Chanussot (chapter to be published soon...)
\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\nYuekun Lai
\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\n\\nPrevious years (alphabetically by surname)
\\n\\nAbdul Latif Ahmad 2016-18
\\n\\nKhalil Amine 2017, 2018
\\n\\nEwan Birney 2015-18
\\n\\nFrede Blaabjerg 2015-18
\\n\\nGang Chen 2016-18
\\n\\nJunhong Chen 2017, 2018
\\n\\nZhigang Chen 2016, 2018
\\n\\nMyung-Haing Cho 2016, 2018
\\n\\nMark Connors 2015-18
\\n\\nCyrus Cooper 2017, 2018
\\n\\nLiming Dai 2015-18
\\n\\nWeihua Deng 2017, 2018
\\n\\nVincenzo Fogliano 2017, 2018
\\n\\nRon de Graaf 2014-18
\\n\\nHarald Haas 2017, 2018
\\n\\nFrancisco Herrera 2017, 2018
\\n\\nJaakko Kangasjärvi 2015-18
\\n\\nHamid Reza Karimi 2016-18
\\n\\nJunji Kido 2014-18
\\n\\nJose Luiszamorano 2015-18
\\n\\nYiqi Luo 2016-18
\\n\\nJoachim Maier 2014-18
\\n\\nAndrea Natale 2017, 2018
\\n\\nAlberto Mantovani 2014-18
\\n\\nMarjan Mernik 2017, 2018
\\n\\nSandra Orchard 2014, 2016-18
\\n\\nMohamed Oukka 2016-18
\\n\\nBiswajeet Pradhan 2016-18
\\n\\nDirk Raes 2017, 2018
\\n\\nUlrike Ravens-Sieberer 2016-18
\\n\\nYexiang Tong 2017, 2018
\\n\\nJim Van Os 2015-18
\\n\\nLong Wang 2017, 2018
\\n\\nFei Wei 2016-18
\\n\\nIoannis Xenarios 2017, 2018
\\n\\nQi Xie 2016-18
\\n\\nXin-She Yang 2017, 2018
\\n\\nYulong Yin 2015, 2017, 2018
\\n"}]'},components:[{type:"htmlEditorComponent",content:'New for 2018 (alphabetically by surname).
\n\n\n\n\n\n\n\n\n\nJocelyn Chanussot (chapter to be published soon...)
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nYuekun Lai
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nPrevious years (alphabetically by surname)
\n\nAbdul Latif Ahmad 2016-18
\n\nKhalil Amine 2017, 2018
\n\nEwan Birney 2015-18
\n\nFrede Blaabjerg 2015-18
\n\nGang Chen 2016-18
\n\nJunhong Chen 2017, 2018
\n\nZhigang Chen 2016, 2018
\n\nMyung-Haing Cho 2016, 2018
\n\nMark Connors 2015-18
\n\nCyrus Cooper 2017, 2018
\n\nLiming Dai 2015-18
\n\nWeihua Deng 2017, 2018
\n\nVincenzo Fogliano 2017, 2018
\n\nRon de Graaf 2014-18
\n\nHarald Haas 2017, 2018
\n\nFrancisco Herrera 2017, 2018
\n\nJaakko Kangasjärvi 2015-18
\n\nHamid Reza Karimi 2016-18
\n\nJunji Kido 2014-18
\n\nJose Luiszamorano 2015-18
\n\nYiqi Luo 2016-18
\n\nJoachim Maier 2014-18
\n\nAndrea Natale 2017, 2018
\n\nAlberto Mantovani 2014-18
\n\nMarjan Mernik 2017, 2018
\n\nSandra Orchard 2014, 2016-18
\n\nMohamed Oukka 2016-18
\n\nBiswajeet Pradhan 2016-18
\n\nDirk Raes 2017, 2018
\n\nUlrike Ravens-Sieberer 2016-18
\n\nYexiang Tong 2017, 2018
\n\nJim Van Os 2015-18
\n\nLong Wang 2017, 2018
\n\nFei Wei 2016-18
\n\nIoannis Xenarios 2017, 2018
\n\nQi Xie 2016-18
\n\nXin-She Yang 2017, 2018
\n\nYulong Yin 2015, 2017, 2018
\n'}]},successStories:{items:[]},authorsAndEditors:{filterParams:{sort:"featured,name"},profiles:[{id:"289905",title:"Dr.",name:null,middleName:null,surname:"Inamuddin",slug:"inamuddin",fullName:"Inamuddin",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/289905/images/system/289905.jpeg",biography:"Dr. Inamuddin is currently working as an assistant professor in the Chemistry Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia. He has extensive research experience in multidisciplinary fields of analytical chemistry, materials chemistry, electrochemistry, and more specifically, renewable energy and the environment. He has published 127 research articles in international journals of repute and 18 book chapters in knowledge-based book editions published by renowned international publishers. He has published 39 edited books with Springer, United Kingdom, Elsevier, Nova Science Publishers, Inc. USA, CRC Press Taylor & Francis, Asia Pacific, Trans Tech Publications Ltd., Switzerland, and Materials Science Forum, USA. He is a member of various editorial boards serving as associate editor for journals such as Environmental Chemistry Letter, Applied Water Science, Euro-Mediterranean Journal for Environmental Integration, Springer-Nature, Scientific Reports-Nature, and the editor of Eurasian Journal of Analytical Chemistry.",institutionString:"King Abdulaziz University",institution:{name:"King Abdulaziz University",country:{name:"Saudi Arabia"}}},{id:"99002",title:"Dr.",name:null,middleName:null,surname:"Koontongkaew",slug:"koontongkaew",fullName:"Koontongkaew",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:{name:"Thammasat University",country:{name:"Thailand"}}},{id:"156647",title:"Dr.",name:"A K M Mamunur",middleName:null,surname:"Rashid",slug:"a-k-m-mamunur-rashid",fullName:"A K M Mamunur Rashid",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:"MBBS, DCH, MD(Paed.), Grad. Cert. P. Rheum.(UWA, Australia), FRCP(Edin.)",institutionString:null,institution:{name:"Khulna Medical College",country:{name:"Bangladesh"}}},{id:"234696",title:"Prof.",name:"A K M Mominul",middleName:null,surname:"Islam",slug:"a-k-m-mominul-islam",fullName:"A K M Mominul Islam",position:null,profilePictureURL:"https://intech-files.s3.amazonaws.com/a043Y00000cA8dpQAC/Co2_Profile_Picture-1588761796759",biography:"Prof. Dr. A. K. M. Mominul Islam received both of his bachelor's and Master’s degree from Bangladesh Agricultural University. After that, he joined as Lecturer of Agronomy at Bangladesh Agricultural University (BAU), Mymensingh, Bangladesh, and became Professor in the same department of the university. Dr. Islam did his second Master’s in Physical Land Resources from Ghent University, Belgium. He is currently serving as a postdoctoral researcher at the Department of Horticulture & Landscape Architecture at Purdue University, USA. Dr. Islam has obtained his Ph.D. degree in Plant Allelopathy from The United Graduate School of Agricultural Sciences, Ehime University, Japan. The dissertation title of Dr. Islam was “Allelopathy of five Lamiaceae medicinal plant species”. Dr. Islam is the author of 38 articles published in nationally and internationally reputed journals, 1 book chapter, and 3 books. He is a member of the editorial board and referee of several national and international journals. He is supervising the research of MS and Ph.D. students in areas of Agronomy. Prof. Islam is conducting research on crop management, bio-herbicides, and allelopathy.",institutionString:"Bangladesh Agricultural University",institution:{name:"Bangladesh Agricultural University",country:{name:"Bangladesh"}}},{id:"214531",title:"Mr.",name:"A T M Sakiur",middleName:null,surname:"Rahman",slug:"a-t-m-sakiur-rahman",fullName:"A T M Sakiur Rahman",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:{name:"University of Rajshahi",country:{name:"Bangladesh"}}},{id:"66545",title:"Dr.",name:"A. F.",middleName:null,surname:"Omar",slug:"a.-f.-omar",fullName:"A. F. Omar",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:"Dr. A. F. Omar obtained\nhis Bachelor degree in electrical and\nelectronics engineering from Universiti\nSains Malaysia in 2002, Master of Science in electronics\nengineering from Open University\nMalaysia in 2008 and PhD in optical physics from Universiti\nSains Malaysia in 2012. His research mainly\nfocuses on the development of optical\nand electronics systems for spectroscopy\napplication in environmental monitoring,\nagriculture and dermatology. He has\nmore than 10 years of teaching\nexperience in subjects related to\nelectronics, mathematics and applied optics for\nuniversity students and industrial engineers.",institutionString:null,institution:{name:"Universiti Sains Malaysia",country:{name:"Malaysia"}}},{id:"191072",title:"Prof.",name:"A. K. M. Aminul",middleName:null,surname:"Islam",slug:"a.-k.-m.-aminul-islam",fullName:"A. K. M. Aminul Islam",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/191072/images/system/191072.jpg",biography:"Prof. Dr. A. K. M. Aminul Islam received both of his bachelor and Master’s degree from Bangladesh Agricultural University. After that he joined as Lecturer of Genetics and Plant Breeding at Bangabandhu Sheikh Mujibur Rahman Agricultural University (BSMRAU), Gazipur, Bangladesh and became Professor in the same department of the university. He is currently serving as Director (Research) of Bangabandhu Sheikh Mujibur Rahman Agricultural University (BSMRAU), Gazipur, Bangladesh. Dr. Islam has obtained his Ph D degree in Chemical and Process Engineering from Universiti Kebangsaan Malaysia. The dissertation title of Dr. Islam was “Improvement of Biodiesel Production through Genetic Studies of Jatropha (Jatropha curcas L.)”. Dr. Islam is the author of 98 articles published in nationally and internationally reputed journals, 11 book chapters and 3 books. He is a member of editorial board and referee of several national and international journals. He is also serving as the General Secretary of Plant Breeding and Genetics Society of Bangladesh, Seminar and research Secretary of JICA Alumni Association of Bangladesh and member of several professional societies. Prof. Islam acted as Principal Breeder in the releasing system of BU Hybrid Lau 1, BU Lau 1, BU Capsicum 1, BU Lalshak 1, BU Baromashi Seem 1, BU Sheem 1, BU Sheem 2, BU Sheem 3 and BU Sheem 4. He supervised 50 MS and 3 Ph D students. Prof. Islam currently supervising research of 5 MS and 3 Ph D students in areas Plant Breeding & Seed Technologies. Conducting research on development of hybrid vegetables, hybrid Brassica napus using CMS system, renewable energy research with Jatropha curcas.",institutionString:"Bangabandhu Sheikh Mujibur Rahman Agricultural University",institution:{name:"Bangabandhu Sheikh Mujibur Rahman Agricultural University",country:{name:"Bangladesh"}}},{id:"322225",title:"Dr.",name:"A. K. M. Aminul",middleName:null,surname:"Islam",slug:"a.-k.-m.-aminul-islam",fullName:"A. K. M. Aminul Islam",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/no_image.jpg",biography:"Prof. Dr. A. K. M. Aminul Islam received both of his bachelor's and Master’s degree from Bangladesh Agricultural University. After that he joined as Lecturer of Genetics and Plant Breeding at Bangabandhu Sheikh Mujibur Rahman Agricultural University (BSMRAU), Gazipur, Bangladesh, and became Professor in the same department of the university. He is currently serving as Director (Research) of Bangabandhu Sheikh Mujibur Rahman Agricultural University (BSMRAU), Gazipur, Bangladesh. Dr. Islam has obtained his Ph.D. degree in Chemical and Process Engineering from Universiti Kebangsaan Malaysia. The dissertation title of Dr. Islam was 'Improvement of Biodiesel Production through Genetic Studies of Jatropha (Jatropha curcas L.)”. Dr. Islam is the author of 99 articles published in nationally and internationally reputed journals, 11 book chapters, 3 books, and 20 proceedings and conference paper. He is a member of the editorial board and referee of several national and international journals. He is also serving as the General Secretary of Plant Breeding and Genetics Society of Bangladesh, Seminar, and research Secretary of JICA Alumni Association of Bangladesh and a member of several professional societies. Prof. Islam acted as Principal Breeder in the releasing system of BU Hybrid Lau 1, BU Lau 1, BU Capsicum 1, BU Lalshak 1, BU Baromashi Seem 1, BU Sheem 1, BU Sheem 2, BU Sheem 3 and BU Sheem 4. He supervised 50 MS and 3 PhD students. Prof. Islam currently supervising the research of 5 MS and 3 PhD students in areas Plant Breeding & Seed Technologies. Conducting research on the development of hybrid vegetables, hybrid Brassica napus using CMS system, renewable energy research with Jatropha curcas.",institutionString:"Bangabandhu Sheikh Mujibur Rahman Agricultural University",institution:{name:"Bangabandhu Sheikh Mujibur Rahman Agricultural University",country:{name:"Bangladesh"}}},{id:"91977",title:"Dr.",name:"A.B.M. Sharif",middleName:null,surname:"Hossain",slug:"a.b.m.-sharif-hossain",fullName:"A.B.M. Sharif Hossain",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:{name:"University of Malaya",country:{name:"Malaysia"}}},{id:"97123",title:"Prof.",name:"A.M.M.",middleName:null,surname:"Sharif Ullah",slug:"a.m.m.-sharif-ullah",fullName:"A.M.M. Sharif Ullah",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/97123/images/4209_n.jpg",biography:"AMM Sharif Ullah is currently an Associate Professor of Design and Manufacturing in Department of Mechanical Engineering at Kitami Institute of Technology, Japan. He received the Bachelor of Science Degree in Mechanical Engineering in 1992 from the Bangladesh University of Engineering and Technology, Dhaka, Bangladesh. In 1993, he moved to Japan for graduate studies. He received the Master of Engineering degree in 1996 from the Kansai University Graduate School of Engineering in Mechanical Engineering (Major: Manufacturing Engineering). He also received the Doctor of Engineering degree from the same institute in the same field in 1999. He began his academic career in 2000 as an Assistant Professor in the Industrial Systems Engineering Program at the Asian Institute of Technology, Thailand, as an Assistant Professor in the Industrial Systems Engineering Program. In 2002, he took up the position of Assistant Professor in the Department of Mechanical Engineering at the United Arab Emirates (UAE) University. He was promoted to Associate Professor in 2006 at the UAE University. He moved to his current employer in 2009. His research field is product realization engineering (design, manufacturing, operations, and sustainability). He teaches design and manufacturing related courses at undergraduate and graduate degree programs. He has been mentoring a large number of students for their senior design projects and theses. He has published more than 90 papers in refereed journals, edited books, and international conference proceedings. He made more than 35 oral presentations. Since 2005, he directs the advanced manufacturing engineering research laboratory at Kitami Institute of Technology.",institutionString:null,institution:{name:"Kitami Institute of Technology",country:{name:"Japan"}}},{id:"213441",title:"Dr.",name:"A.R.Kavitha",middleName:null,surname:"Balaji",slug:"a.r.kavitha-balaji",fullName:"A.R.Kavitha Balaji",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:{name:"Anna University, Chennai",country:{name:"India"}}},{id:"172688",title:"Prof.",name:"A.V.",middleName:null,surname:"Salker",slug:"a.v.-salker",fullName:"A.V. Salker",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:{name:"Goa University",country:{name:"India"}}}],filtersByRegion:[{group:"region",caption:"North America",value:1,count:5684},{group:"region",caption:"Middle and South America",value:2,count:5166},{group:"region",caption:"Africa",value:3,count:1682},{group:"region",caption:"Asia",value:4,count:10211},{group:"region",caption:"Australia and Oceania",value:5,count:887},{group:"region",caption:"Europe",value:6,count:15616}],offset:12,limit:12,total:10241},chapterEmbeded:{data:{}},editorApplication:{success:null,errors:{}},ofsBooks:{filterParams:{topicId:"15"},books:[{type:"book",id:"10471",title:"Advances in Dynamical Systems Theory, Models, Algorithms and Applications",subtitle:null,isOpenForSubmission:!0,hash:"689fdf3cdc78ade03f0c43a245dcf818",slug:null,bookSignature:"Dr. Bruno Carpentieri",coverURL:"https://cdn.intechopen.com/books/images_new/10471.jpg",editedByType:null,editors:[{id:"92921",title:"Dr.",name:"Bruno",surname:"Carpentieri",slug:"bruno-carpentieri",fullName:"Bruno Carpentieri"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"10677",title:"Topology",subtitle:null,isOpenForSubmission:!0,hash:"85eac84b173d785f989522397616124e",slug:null,bookSignature:"",coverURL:"https://cdn.intechopen.com/books/images_new/10677.jpg",editedByType:null,editors:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"10678",title:"Biostatistics",subtitle:null,isOpenForSubmission:!0,hash:"f63db439474a574454a66894db8b394c",slug:null,bookSignature:"",coverURL:"https://cdn.intechopen.com/books/images_new/10678.jpg",editedByType:null,editors:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}}],filtersByTopic:[{group:"topic",caption:"Agricultural and Biological Sciences",value:5,count:9},{group:"topic",caption:"Biochemistry, Genetics and Molecular Biology",value:6,count:18},{group:"topic",caption:"Business, Management and Economics",value:7,count:2},{group:"topic",caption:"Chemistry",value:8,count:7},{group:"topic",caption:"Computer and Information Science",value:9,count:10},{group:"topic",caption:"Earth and Planetary Sciences",value:10,count:5},{group:"topic",caption:"Engineering",value:11,count:15},{group:"topic",caption:"Environmental Sciences",value:12,count:2},{group:"topic",caption:"Immunology and Microbiology",value:13,count:5},{group:"topic",caption:"Materials Science",value:14,count:4},{group:"topic",caption:"Mathematics",value:15,count:1},{group:"topic",caption:"Medicine",value:16,count:60},{group:"topic",caption:"Nanotechnology and Nanomaterials",value:17,count:1},{group:"topic",caption:"Neuroscience",value:18,count:1},{group:"topic",caption:"Pharmacology, Toxicology and Pharmaceutical Science",value:19,count:6},{group:"topic",caption:"Physics",value:20,count:2},{group:"topic",caption:"Psychology",value:21,count:3},{group:"topic",caption:"Robotics",value:22,count:1},{group:"topic",caption:"Social Sciences",value:23,count:3},{group:"topic",caption:"Technology",value:24,count:1},{group:"topic",caption:"Veterinary Medicine and Science",value:25,count:2}],offset:12,limit:12,total:3},popularBooks:{featuredBooks:[{type:"book",id:"9208",title:"Welding",subtitle:"Modern Topics",isOpenForSubmission:!1,hash:"7d6be076ccf3a3f8bd2ca52d86d4506b",slug:"welding-modern-topics",bookSignature:"Sadek Crisóstomo Absi Alfaro, Wojciech Borek and Błażej Tomiczek",coverURL:"https://cdn.intechopen.com/books/images_new/9208.jpg",editors:[{id:"65292",title:"Prof.",name:"Sadek Crisostomo Absi",middleName:"C. Absi",surname:"Alfaro",slug:"sadek-crisostomo-absi-alfaro",fullName:"Sadek Crisostomo Absi Alfaro"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9139",title:"Topics in Primary Care Medicine",subtitle:null,isOpenForSubmission:!1,hash:"ea774a4d4c1179da92a782e0ae9cde92",slug:"topics-in-primary-care-medicine",bookSignature:"Thomas F. Heston",coverURL:"https://cdn.intechopen.com/books/images_new/9139.jpg",editors:[{id:"217926",title:"Dr.",name:"Thomas F.",middleName:null,surname:"Heston",slug:"thomas-f.-heston",fullName:"Thomas F. Heston"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"8697",title:"Virtual Reality and Its Application in Education",subtitle:null,isOpenForSubmission:!1,hash:"ee01b5e387ba0062c6b0d1e9227bda05",slug:"virtual-reality-and-its-application-in-education",bookSignature:"Dragan Cvetković",coverURL:"https://cdn.intechopen.com/books/images_new/8697.jpg",editors:[{id:"101330",title:"Dr.",name:"Dragan",middleName:"Mladen",surname:"Cvetković",slug:"dragan-cvetkovic",fullName:"Dragan Cvetković"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9785",title:"Endometriosis",subtitle:null,isOpenForSubmission:!1,hash:"f457ca61f29cf7e8bc191732c50bb0ce",slug:"endometriosis",bookSignature:"Courtney Marsh",coverURL:"https://cdn.intechopen.com/books/images_new/9785.jpg",editors:[{id:"255491",title:"Dr.",name:"Courtney",middleName:null,surname:"Marsh",slug:"courtney-marsh",fullName:"Courtney Marsh"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9343",title:"Trace Metals in the Environment",subtitle:"New Approaches and Recent Advances",isOpenForSubmission:!1,hash:"ae07e345bc2ce1ebbda9f70c5cd12141",slug:"trace-metals-in-the-environment-new-approaches-and-recent-advances",bookSignature:"Mario Alfonso Murillo-Tovar, Hugo Saldarriaga-Noreña and Agnieszka Saeid",coverURL:"https://cdn.intechopen.com/books/images_new/9343.jpg",editors:[{id:"255959",title:"Dr.",name:"Mario Alfonso",middleName:null,surname:"Murillo-Tovar",slug:"mario-alfonso-murillo-tovar",fullName:"Mario Alfonso Murillo-Tovar"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"7831",title:"Sustainability in Urban Planning and Design",subtitle:null,isOpenForSubmission:!1,hash:"c924420492c8c2c9751e178d025f4066",slug:"sustainability-in-urban-planning-and-design",bookSignature:"Amjad Almusaed, Asaad Almssad and Linh Truong - Hong",coverURL:"https://cdn.intechopen.com/books/images_new/7831.jpg",editors:[{id:"110471",title:"Dr.",name:"Amjad",middleName:"Zaki",surname:"Almusaed",slug:"amjad-almusaed",fullName:"Amjad Almusaed"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"8468",title:"Sheep Farming",subtitle:"An Approach to Feed, Growth and Sanity",isOpenForSubmission:!1,hash:"838f08594850bc04aa14ec873ed1b96f",slug:"sheep-farming-an-approach-to-feed-growth-and-sanity",bookSignature:"António Monteiro",coverURL:"https://cdn.intechopen.com/books/images_new/8468.jpg",editors:[{id:"190314",title:"Prof.",name:"António",middleName:"Cardoso",surname:"Monteiro",slug:"antonio-monteiro",fullName:"António Monteiro"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"8816",title:"Financial Crises",subtitle:"A Selection of Readings",isOpenForSubmission:!1,hash:"6f2f49fb903656e4e54280c79fabd10c",slug:"financial-crises-a-selection-of-readings",bookSignature:"Stelios Markoulis",coverURL:"https://cdn.intechopen.com/books/images_new/8816.jpg",editors:[{id:"237863",title:"Dr.",name:"Stelios",middleName:null,surname:"Markoulis",slug:"stelios-markoulis",fullName:"Stelios Markoulis"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9376",title:"Contemporary Developments and Perspectives in International Health Security",subtitle:"Volume 1",isOpenForSubmission:!1,hash:"b9a00b84cd04aae458fb1d6c65795601",slug:"contemporary-developments-and-perspectives-in-international-health-security-volume-1",bookSignature:"Stanislaw P. Stawicki, Michael S. Firstenberg, Sagar C. Galwankar, Ricardo Izurieta and Thomas Papadimos",coverURL:"https://cdn.intechopen.com/books/images_new/9376.jpg",editors:[{id:"181694",title:"Dr.",name:"Stanislaw P.",middleName:null,surname:"Stawicki",slug:"stanislaw-p.-stawicki",fullName:"Stanislaw P. Stawicki"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"7769",title:"Medical Isotopes",subtitle:null,isOpenForSubmission:!1,hash:"f8d3c5a6c9a42398e56b4e82264753f7",slug:"medical-isotopes",bookSignature:"Syed Ali Raza Naqvi and Muhammad Babar Imrani",coverURL:"https://cdn.intechopen.com/books/images_new/7769.jpg",editors:[{id:"259190",title:"Dr.",name:"Syed Ali Raza",middleName:null,surname:"Naqvi",slug:"syed-ali-raza-naqvi",fullName:"Syed Ali Raza Naqvi"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9279",title:"Concepts, Applications and Emerging Opportunities in Industrial Engineering",subtitle:null,isOpenForSubmission:!1,hash:"9bfa87f9b627a5468b7c1e30b0eea07a",slug:"concepts-applications-and-emerging-opportunities-in-industrial-engineering",bookSignature:"Gary Moynihan",coverURL:"https://cdn.intechopen.com/books/images_new/9279.jpg",editors:[{id:"16974",title:"Dr.",name:"Gary",middleName:null,surname:"Moynihan",slug:"gary-moynihan",fullName:"Gary Moynihan"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"7807",title:"A Closer Look at Organizational Culture in Action",subtitle:null,isOpenForSubmission:!1,hash:"05c608b9271cc2bc711f4b28748b247b",slug:"a-closer-look-at-organizational-culture-in-action",bookSignature:"Süleyman Davut Göker",coverURL:"https://cdn.intechopen.com/books/images_new/7807.jpg",editors:[{id:"190035",title:"Associate Prof.",name:"Süleyman Davut",middleName:null,surname:"Göker",slug:"suleyman-davut-goker",fullName:"Süleyman Davut Göker"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}}],offset:12,limit:12,total:5131},hotBookTopics:{hotBooks:[],offset:0,limit:12,total:null},publish:{},publishingProposal:{success:null,errors:{}},books:{featuredBooks:[{type:"book",id:"9208",title:"Welding",subtitle:"Modern Topics",isOpenForSubmission:!1,hash:"7d6be076ccf3a3f8bd2ca52d86d4506b",slug:"welding-modern-topics",bookSignature:"Sadek Crisóstomo Absi Alfaro, Wojciech Borek and Błażej Tomiczek",coverURL:"https://cdn.intechopen.com/books/images_new/9208.jpg",editors:[{id:"65292",title:"Prof.",name:"Sadek Crisostomo Absi",middleName:"C. Absi",surname:"Alfaro",slug:"sadek-crisostomo-absi-alfaro",fullName:"Sadek Crisostomo Absi Alfaro"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9139",title:"Topics in Primary Care Medicine",subtitle:null,isOpenForSubmission:!1,hash:"ea774a4d4c1179da92a782e0ae9cde92",slug:"topics-in-primary-care-medicine",bookSignature:"Thomas F. Heston",coverURL:"https://cdn.intechopen.com/books/images_new/9139.jpg",editors:[{id:"217926",title:"Dr.",name:"Thomas F.",middleName:null,surname:"Heston",slug:"thomas-f.-heston",fullName:"Thomas F. Heston"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"8697",title:"Virtual Reality and Its Application in Education",subtitle:null,isOpenForSubmission:!1,hash:"ee01b5e387ba0062c6b0d1e9227bda05",slug:"virtual-reality-and-its-application-in-education",bookSignature:"Dragan Cvetković",coverURL:"https://cdn.intechopen.com/books/images_new/8697.jpg",editors:[{id:"101330",title:"Dr.",name:"Dragan",middleName:"Mladen",surname:"Cvetković",slug:"dragan-cvetkovic",fullName:"Dragan Cvetković"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9785",title:"Endometriosis",subtitle:null,isOpenForSubmission:!1,hash:"f457ca61f29cf7e8bc191732c50bb0ce",slug:"endometriosis",bookSignature:"Courtney Marsh",coverURL:"https://cdn.intechopen.com/books/images_new/9785.jpg",editors:[{id:"255491",title:"Dr.",name:"Courtney",middleName:null,surname:"Marsh",slug:"courtney-marsh",fullName:"Courtney Marsh"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9343",title:"Trace Metals in the Environment",subtitle:"New Approaches and Recent Advances",isOpenForSubmission:!1,hash:"ae07e345bc2ce1ebbda9f70c5cd12141",slug:"trace-metals-in-the-environment-new-approaches-and-recent-advances",bookSignature:"Mario Alfonso Murillo-Tovar, Hugo Saldarriaga-Noreña and Agnieszka Saeid",coverURL:"https://cdn.intechopen.com/books/images_new/9343.jpg",editors:[{id:"255959",title:"Dr.",name:"Mario Alfonso",middleName:null,surname:"Murillo-Tovar",slug:"mario-alfonso-murillo-tovar",fullName:"Mario Alfonso Murillo-Tovar"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"8468",title:"Sheep Farming",subtitle:"An Approach to Feed, Growth and Sanity",isOpenForSubmission:!1,hash:"838f08594850bc04aa14ec873ed1b96f",slug:"sheep-farming-an-approach-to-feed-growth-and-sanity",bookSignature:"António Monteiro",coverURL:"https://cdn.intechopen.com/books/images_new/8468.jpg",editors:[{id:"190314",title:"Prof.",name:"António",middleName:"Cardoso",surname:"Monteiro",slug:"antonio-monteiro",fullName:"António Monteiro"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"8816",title:"Financial Crises",subtitle:"A Selection of Readings",isOpenForSubmission:!1,hash:"6f2f49fb903656e4e54280c79fabd10c",slug:"financial-crises-a-selection-of-readings",bookSignature:"Stelios Markoulis",coverURL:"https://cdn.intechopen.com/books/images_new/8816.jpg",editors:[{id:"237863",title:"Dr.",name:"Stelios",middleName:null,surname:"Markoulis",slug:"stelios-markoulis",fullName:"Stelios Markoulis"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"7831",title:"Sustainability in Urban Planning and Design",subtitle:null,isOpenForSubmission:!1,hash:"c924420492c8c2c9751e178d025f4066",slug:"sustainability-in-urban-planning-and-design",bookSignature:"Amjad Almusaed, Asaad Almssad and Linh Truong - Hong",coverURL:"https://cdn.intechopen.com/books/images_new/7831.jpg",editors:[{id:"110471",title:"Dr.",name:"Amjad",middleName:"Zaki",surname:"Almusaed",slug:"amjad-almusaed",fullName:"Amjad Almusaed"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"9376",title:"Contemporary Developments and Perspectives in International Health Security",subtitle:"Volume 1",isOpenForSubmission:!1,hash:"b9a00b84cd04aae458fb1d6c65795601",slug:"contemporary-developments-and-perspectives-in-international-health-security-volume-1",bookSignature:"Stanislaw P. Stawicki, Michael S. Firstenberg, Sagar C. Galwankar, Ricardo Izurieta and Thomas Papadimos",coverURL:"https://cdn.intechopen.com/books/images_new/9376.jpg",editors:[{id:"181694",title:"Dr.",name:"Stanislaw P.",middleName:null,surname:"Stawicki",slug:"stanislaw-p.-stawicki",fullName:"Stanislaw P. Stawicki"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}},{type:"book",id:"7769",title:"Medical Isotopes",subtitle:null,isOpenForSubmission:!1,hash:"f8d3c5a6c9a42398e56b4e82264753f7",slug:"medical-isotopes",bookSignature:"Syed Ali Raza Naqvi and Muhammad Babar Imrani",coverURL:"https://cdn.intechopen.com/books/images_new/7769.jpg",editors:[{id:"259190",title:"Dr.",name:"Syed Ali Raza",middleName:null,surname:"Naqvi",slug:"syed-ali-raza-naqvi",fullName:"Syed Ali Raza Naqvi"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}}],latestBooks:[{type:"book",id:"7434",title:"Molecular Biotechnology",subtitle:null,isOpenForSubmission:!1,hash:"eceede809920e1ec7ecadd4691ede2ec",slug:"molecular-biotechnology",bookSignature:"Sergey Sedykh",coverURL:"https://cdn.intechopen.com/books/images_new/7434.jpg",editedByType:"Edited by",editors:[{id:"178316",title:"Ph.D.",name:"Sergey",middleName:null,surname:"Sedykh",slug:"sergey-sedykh",fullName:"Sergey Sedykh"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"8545",title:"Animal Reproduction in Veterinary Medicine",subtitle:null,isOpenForSubmission:!1,hash:"13aaddf5fdbbc78387e77a7da2388bf6",slug:"animal-reproduction-in-veterinary-medicine",bookSignature:"Faruk Aral, Rita Payan-Carreira and Miguel Quaresma",coverURL:"https://cdn.intechopen.com/books/images_new/8545.jpg",editedByType:"Edited by",editors:[{id:"25600",title:"Prof.",name:"Faruk",middleName:null,surname:"Aral",slug:"faruk-aral",fullName:"Faruk Aral"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"9569",title:"Methods in Molecular Medicine",subtitle:null,isOpenForSubmission:!1,hash:"691d3f3c4ac25a8093414e9b270d2843",slug:"methods-in-molecular-medicine",bookSignature:"Yusuf Tutar",coverURL:"https://cdn.intechopen.com/books/images_new/9569.jpg",editedByType:"Edited by",editors:[{id:"158492",title:"Prof.",name:"Yusuf",middleName:null,surname:"Tutar",slug:"yusuf-tutar",fullName:"Yusuf Tutar"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"9839",title:"Outdoor Recreation",subtitle:"Physiological and Psychological Effects on Health",isOpenForSubmission:!1,hash:"5f5a0d64267e32567daffa5b0c6a6972",slug:"outdoor-recreation-physiological-and-psychological-effects-on-health",bookSignature:"Hilde G. Nielsen",coverURL:"https://cdn.intechopen.com/books/images_new/9839.jpg",editedByType:"Edited by",editors:[{id:"158692",title:"Ph.D.",name:"Hilde G.",middleName:null,surname:"Nielsen",slug:"hilde-g.-nielsen",fullName:"Hilde G. Nielsen"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"7802",title:"Modern Slavery and Human Trafficking",subtitle:null,isOpenForSubmission:!1,hash:"587a0b7fb765f31cc98de33c6c07c2e0",slug:"modern-slavery-and-human-trafficking",bookSignature:"Jane Reeves",coverURL:"https://cdn.intechopen.com/books/images_new/7802.jpg",editedByType:"Edited by",editors:[{id:"211328",title:"Prof.",name:"Jane",middleName:null,surname:"Reeves",slug:"jane-reeves",fullName:"Jane Reeves"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"8063",title:"Food Security in Africa",subtitle:null,isOpenForSubmission:!1,hash:"8cbf3d662b104d19db2efc9d59249efc",slug:"food-security-in-africa",bookSignature:"Barakat Mahmoud",coverURL:"https://cdn.intechopen.com/books/images_new/8063.jpg",editedByType:"Edited by",editors:[{id:"92016",title:"Dr.",name:"Barakat",middleName:null,surname:"Mahmoud",slug:"barakat-mahmoud",fullName:"Barakat Mahmoud"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"10118",title:"Plant Stress Physiology",subtitle:null,isOpenForSubmission:!1,hash:"c68b09d2d2634fc719ae3b9a64a27839",slug:"plant-stress-physiology",bookSignature:"Akbar Hossain",coverURL:"https://cdn.intechopen.com/books/images_new/10118.jpg",editedByType:"Edited by",editors:[{id:"280755",title:"Dr.",name:"Akbar",middleName:null,surname:"Hossain",slug:"akbar-hossain",fullName:"Akbar Hossain"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"9157",title:"Neurodegenerative Diseases",subtitle:"Molecular Mechanisms and Current Therapeutic Approaches",isOpenForSubmission:!1,hash:"bc8be577966ef88735677d7e1e92ed28",slug:"neurodegenerative-diseases-molecular-mechanisms-and-current-therapeutic-approaches",bookSignature:"Nagehan Ersoy Tunalı",coverURL:"https://cdn.intechopen.com/books/images_new/9157.jpg",editedByType:"Edited by",editors:[{id:"82778",title:"Ph.D.",name:"Nagehan",middleName:null,surname:"Ersoy Tunalı",slug:"nagehan-ersoy-tunali",fullName:"Nagehan Ersoy Tunalı"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"9961",title:"Data Mining",subtitle:"Methods, Applications and Systems",isOpenForSubmission:!1,hash:"ed79fb6364f2caf464079f94a0387146",slug:"data-mining-methods-applications-and-systems",bookSignature:"Derya Birant",coverURL:"https://cdn.intechopen.com/books/images_new/9961.jpg",editedByType:"Edited by",editors:[{id:"15609",title:"Dr.",name:"Derya",middleName:null,surname:"Birant",slug:"derya-birant",fullName:"Derya Birant"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"8686",title:"Direct Torque Control Strategies of Electrical Machines",subtitle:null,isOpenForSubmission:!1,hash:"b6ad22b14db2b8450228545d3d4f6b1a",slug:"direct-torque-control-strategies-of-electrical-machines",bookSignature:"Fatma Ben Salem",coverURL:"https://cdn.intechopen.com/books/images_new/8686.jpg",editedByType:"Edited by",editors:[{id:"295623",title:"Associate Prof.",name:"Fatma",middleName:null,surname:"Ben Salem",slug:"fatma-ben-salem",fullName:"Fatma Ben Salem"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}}]},subject:{topic:{id:"1254",title:"Mobile Robot",slug:"android-science-mobile-robot",parent:{title:"Android Science",slug:"android-science"},numberOfBooks:1,numberOfAuthorsAndEditors:59,numberOfWosCitations:48,numberOfCrossrefCitations:29,numberOfDimensionsCitations:52,videoUrl:null,fallbackUrl:null,description:null},booksByTopicFilter:{topicSlug:"android-science-mobile-robot",sort:"-publishedDate",limit:12,offset:0},booksByTopicCollection:[{type:"book",id:"1881",title:"Mobile Robots",subtitle:"Current Trends",isOpenForSubmission:!1,hash:"6f1ee45d3e50f6d5295a1d8c190b646c",slug:"mobile-robots-current-trends",bookSignature:"Zoran Gacovski",coverURL:"https://cdn.intechopen.com/books/images_new/1881.jpg",editedByType:"Edited by",editors:[{id:"89211",title:"Dr.",name:"Zoran",middleName:null,surname:"Gacovski",slug:"zoran-gacovski",fullName:"Zoran Gacovski"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}}],booksByTopicTotal:1,mostCitedChapters:[{id:"22300",doi:"10.5772/26512",title:"Influence of the Size Factor of a Mobile Robot Moving Toward a Human on Subjective Acceptable Distance",slug:"influence-of-the-size-factor-of-a-mobile-robot-moving-toward-a-human-on-subjective-acceptable-distan",totalDownloads:1626,totalCrossrefCites:4,totalDimensionsCites:10,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Yutaka Hiroi and Akinori Ito",authors:[{id:"66916",title:"Dr.",name:"Yutaka",middleName:null,surname:"Hiroi",slug:"yutaka-hiroi",fullName:"Yutaka Hiroi"},{id:"71987",title:"Prof.",name:"Akinori",middleName:null,surname:"Ito",slug:"akinori-ito",fullName:"Akinori Ito"}]},{id:"22305",doi:"10.5772/25497",title:"Dynamic Modeling and Power Modeling of Robotic Skid-Steered Wheeled Vehicles",slug:"dynamic-modeling-and-power-modeling-of-robotic-skid-steered-wheeled-vehicles",totalDownloads:3951,totalCrossrefCites:6,totalDimensionsCites:7,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Wei Yu, Emmanuel Collins and Oscar Chuy",authors:[{id:"29474",title:"Prof.",name:"Emmanuel",middleName:null,surname:"Collins",slug:"emmanuel-collins",fullName:"Emmanuel Collins"},{id:"39957",title:"Dr.",name:"Oscar",middleName:null,surname:"Chuy",slug:"oscar-chuy",fullName:"Oscar Chuy"},{id:"63522",title:"Dr.",name:"Wei",middleName:null,surname:"Yu",slug:"wei-yu",fullName:"Wei Yu"}]},{id:"22308",doi:"10.5772/25936",title:"Design and Prototyping of Autonomous Ball Wheel Mobile Robots",slug:"design-and-prototyping-of-autonomous-ball-wheel-mobile-robots",totalDownloads:2415,totalCrossrefCites:6,totalDimensionsCites:7,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"H. Ghariblu, A. Moharrami and B. Ghalamchi",authors:[{id:"65019",title:"Dr.",name:"Hashem",middleName:null,surname:"Ghariblu",slug:"hashem-ghariblu",fullName:"Hashem Ghariblu"},{id:"72044",title:"Ms.",name:"Ali",middleName:null,surname:"Moharrami",slug:"ali-moharrami",fullName:"Ali Moharrami"},{id:"72048",title:"Ms.",name:"Behnam",middleName:null,surname:"Ghalamchi",slug:"behnam-ghalamchi",fullName:"Behnam Ghalamchi"}]}],mostDownloadedChaptersLast30Days:[{id:"22298",title:"Mobile Platform with Leg-Wheel Mechanism for Practical Use",slug:"mobile-platform-with-leg-wheel-mechanism-for-practical-use",totalDownloads:3178,totalCrossrefCites:1,totalDimensionsCites:1,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Shuro Nakajima",authors:[{id:"63562",title:"Prof.",name:"Shuro",middleName:null,surname:"Nakajima",slug:"shuro-nakajima",fullName:"Shuro Nakajima"}]},{id:"22292",title:"Autonomous Mobile Robot Emmy III",slug:"autonomous-mobile-robot-emmy-iii",totalDownloads:2069,totalCrossrefCites:0,totalDimensionsCites:1,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Cláudio Rodrigo Torres, Jair Minoro Abe, Germano Lambert-Torres and João Inácio da Silva Filho",authors:[{id:"65919",title:"Dr.",name:"Claudio",middleName:"Rodrigo",surname:"Torres",slug:"claudio-torres",fullName:"Claudio Torres"},{id:"112971",title:"Prof.",name:"Germano",middleName:null,surname:"Lambert-Torres",slug:"germano-lambert-torres",fullName:"Germano Lambert-Torres"},{id:"137199",title:"Dr.",name:"Jair Minoro",middleName:null,surname:"Abe",slug:"jair-minoro-abe",fullName:"Jair Minoro Abe"},{id:"137200",title:"Dr.",name:"João Inácio",middleName:null,surname:"da Silva Filho",slug:"joao-inacio-da-silva-filho",fullName:"João Inácio da Silva Filho"}]},{id:"22293",title:"Mobile Robotics in Education and Research",slug:"mobile-robotics-in-education-and-research",totalDownloads:5113,totalCrossrefCites:0,totalDimensionsCites:5,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Georgios A. Demetriou",authors:[{id:"66153",title:"Dr.",name:"Georgios A.",middleName:null,surname:"Demetriou",slug:"georgios-a.-demetriou",fullName:"Georgios A. Demetriou"}]},{id:"22300",title:"Influence of the Size Factor of a Mobile Robot Moving Toward a Human on Subjective Acceptable Distance",slug:"influence-of-the-size-factor-of-a-mobile-robot-moving-toward-a-human-on-subjective-acceptable-distan",totalDownloads:1626,totalCrossrefCites:4,totalDimensionsCites:10,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Yutaka Hiroi and Akinori Ito",authors:[{id:"66916",title:"Dr.",name:"Yutaka",middleName:null,surname:"Hiroi",slug:"yutaka-hiroi",fullName:"Yutaka Hiroi"},{id:"71987",title:"Prof.",name:"Akinori",middleName:null,surname:"Ito",slug:"akinori-ito",fullName:"Akinori Ito"}]},{id:"22294",title:"The KCLBOT: A Framework of the Nonholonomic Mobile Robot Platform Using Double Compass Self-Localisation",slug:"the-kclbot-a-framework-of-the-nonholonomic-mobile-robot-platform-using-double-compass-self-localisat",totalDownloads:1861,totalCrossrefCites:0,totalDimensionsCites:0,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Evangelos Georgiou, Jian Dai and Michael Luck",authors:[{id:"63454",title:"MSc.",name:"Evangelos",middleName:null,surname:"Georgiou",slug:"evangelos-georgiou",fullName:"Evangelos Georgiou"},{id:"68156",title:"Prof.",name:"Jian",middleName:null,surname:"Dai",slug:"jian-dai",fullName:"Jian Dai"},{id:"68157",title:"Prof.",name:"Michael",middleName:null,surname:"Luck",slug:"michael-luck",fullName:"Michael Luck"}]},{id:"22307",title:"The Development of the Omnidirectional Mobile Home Care Robot",slug:"the-development-of-the-omnidirectional-mobile-home-care-robot",totalDownloads:1994,totalCrossrefCites:0,totalDimensionsCites:1,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Jie-Tong Zou",authors:[{id:"67765",title:"Prof.",name:"Jie-Tong",middleName:"Tong",surname:"Zou",slug:"jie-tong-zou",fullName:"Jie-Tong Zou"}]},{id:"22299",title:"A Micro Mobile Robot with Suction Cups in the Abdominal Cavity for NOTES",slug:"a-micro-mobile-robot-with-suction-cups-in-the-abdominal-cavity-for-notes",totalDownloads:1890,totalCrossrefCites:0,totalDimensionsCites:0,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Chika Hiroki and Wenwei Yu",authors:[{id:"48648",title:"Prof.",name:"Wenwei",middleName:null,surname:"Yu",slug:"wenwei-yu",fullName:"Wenwei Yu"},{id:"71018",title:"Ms.",name:"Chika",middleName:null,surname:"Hiroki",slug:"chika-hiroki",fullName:"Chika Hiroki"}]},{id:"22301",title:"Development of Mobile Robot Based on I2C Bus System",slug:"development-of-mobile-robot-based-on-i2c-bus-system",totalDownloads:3123,totalCrossrefCites:0,totalDimensionsCites:0,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Surachai Panich",authors:[{id:"5704",title:"Dr.",name:"Surachai",middleName:null,surname:"Panich",slug:"surachai-panich",fullName:"Surachai Panich"}]},{id:"22305",title:"Dynamic Modeling and Power Modeling of Robotic Skid-Steered Wheeled Vehicles",slug:"dynamic-modeling-and-power-modeling-of-robotic-skid-steered-wheeled-vehicles",totalDownloads:3951,totalCrossrefCites:6,totalDimensionsCites:7,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Wei Yu, Emmanuel Collins and Oscar Chuy",authors:[{id:"29474",title:"Prof.",name:"Emmanuel",middleName:null,surname:"Collins",slug:"emmanuel-collins",fullName:"Emmanuel Collins"},{id:"39957",title:"Dr.",name:"Oscar",middleName:null,surname:"Chuy",slug:"oscar-chuy",fullName:"Oscar Chuy"},{id:"63522",title:"Dr.",name:"Wei",middleName:null,surname:"Yu",slug:"wei-yu",fullName:"Wei Yu"}]},{id:"22295",title:"Gaining Control Knowledge Through an Applied Mobile Robotics Course",slug:"gaining-control-knowledge-through-an-applied-mobile-robotics-course",totalDownloads:1938,totalCrossrefCites:1,totalDimensionsCites:1,book:{slug:"mobile-robots-current-trends",title:"Mobile Robots",fullTitle:"Mobile Robots - Current Trends"},signatures:"Lluís Pacheco, Ningsu Luo, Inès Ferrer, Xavier Cufí and Roger Arbuse",authors:[{id:"30281",title:"Dr.",name:"Lluís",middleName:null,surname:"Pacheco",slug:"lluis-pacheco",fullName:"Lluís Pacheco"},{id:"32046",title:"Dr.",name:"Ningsu",middleName:null,surname:"Luo",slug:"ningsu-luo",fullName:"Ningsu Luo"},{id:"118672",title:"Dr.",name:"Xavier",middleName:null,surname:"Cufí",slug:"xavier-cufi",fullName:"Xavier Cufí"},{id:"137380",title:"Dr.",name:"Inès",middleName:null,surname:"Ferrer",slug:"ines-ferrer",fullName:"Inès Ferrer"},{id:"137381",title:"Mr.",name:"Roger",middleName:null,surname:"Arbuse",slug:"roger-arbuse",fullName:"Roger Arbuse"}]}],onlineFirstChaptersFilter:{topicSlug:"android-science-mobile-robot",limit:3,offset:0},onlineFirstChaptersCollection:[],onlineFirstChaptersTotal:0},preDownload:{success:null,errors:{}},aboutIntechopen:{},privacyPolicy:{},peerReviewing:{},howOpenAccessPublishingWithIntechopenWorks:{},sponsorshipBooks:{sponsorshipBooks:[{type:"book",id:"10176",title:"Microgrids and Local Energy Systems",subtitle:null,isOpenForSubmission:!0,hash:"c32b4a5351a88f263074b0d0ca813a9c",slug:null,bookSignature:"Prof. Nick Jenkins",coverURL:"https://cdn.intechopen.com/books/images_new/10176.jpg",editedByType:null,editors:[{id:"55219",title:"Prof.",name:"Nick",middleName:null,surname:"Jenkins",slug:"nick-jenkins",fullName:"Nick Jenkins"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter"}}],offset:8,limit:8,total:1},route:{name:"profile.detail",path:"/profiles/92796/yutaka-shikano",hash:"",query:{},params:{id:"92796",slug:"yutaka-shikano"},fullPath:"/profiles/92796/yutaka-shikano",meta:{},from:{name:null,path:"/",hash:"",query:{},params:{},fullPath:"/",meta:{}}}},function(){var e;(e=document.currentScript||document.scripts[document.scripts.length-1]).parentNode.removeChild(e)}()