Box-Behnken design matrix and corresponding response for methyl ester of Helianthus annuus oil.
Abstract
Carbon is a versatile element of distinctive properties and has been described as the key element of living substance. Carbon nanostructures have attracted lots of interest, due their prominent properties. Spray pyrolysis method is adopted for synthesis of carbon nanotubes (CNTs). Contrast to any petroleum product, there is no fear of its ultimate shortage as it is a renewable source and can be obtained easily by cultivating as much quantity as required. Synthesize well crystalline multiwalled carbon nanotubes (MWNTs) from unconventional precursor of methyl ester of Helianthus annuus oil by optimize the parameters such as reaction temperature, catalyst composition and feed rate of carbon precursor in order to obtain good yield with desirable morphology.
Keywords
- carbon nanotube
- spray pyrolysis
- optimization
1. Introduction
Carbon nanotube (CNTs) can be considered to be a potential candidate of the forthcoming century due to its extraordinary properties [1, 2, 3, 4, 5]. In the year 1985, an important breakthrough in carbon research was realized by the work of Kroto et al. [6], which resulted in the discovery of a large family of all carbon molecules, called ‘fullerenes’. Discovery of CNTs is attributed to Iijima [7] as the first scientist who was looking for new carbon structures, in the deposit formed on graphite cathode surfaces during the electric-arc evaporation (or discharge) that is commonly employed to produce fullerene soot. The most important methods of synthesis of CNTs are electric arc discharge, laser evaporation and chemical vapor deposition methods (CVD) [8, 9]. Arc-discharge method is the easiest and most common method of producing CNTs. Ando has carried out the arc-discharge evaporation of pure graphite rods in various kinds of ambient gases (He, Ar and CH4) since CNTs were first discovered [10]. Laser technique is not economically advantageous because the process involves high purity graphite rods, high power lasers and low yield of CNTs. The CVD is another popular method for producing CNTs in which hydrocarbon vapor is thermally decomposed in the presence of a catalyst [11]. Several researchers describe the method for synthesizing CNTs in large scale from petroleum-based precursors such as benzene, xylene and hexane. In current, CNTs synthesized from unconventional precursors such as
2. Experimental methods
The spray pyrolysis method is similar to CVD method and the only difference with CVD is the vaporization and pyrolysis of carbon source occurs simultaneously in spray pyrolysis whereas these processes occur independently in two steps in CVD method. The Fe-Co-Mo catalysts supported on silica (0.5 g) was placed in the quartz boat and then inserted into the center of a quartz tube placed in the electrical heating furnace. The carrier gas nitrogen was flushed out before switch on the reaction furnace to remove air and create nitrogen atmosphere. The temperature was raised from room temperature up to the desired CNTs growing temperature. Subsequently, the carbon precursor methyl ester of
3. Results and discussion
The morphology of MWNTs synthesized at 550, 650 and 750°C using methyl ester of
High resolution transmission electron microscope (HRTEM) recorded for the MWNTs synthesized at 550°C is shown in Figure 2a. HRTEM analysis shows a rope like tubular structure of MWNTs grown on the surface of chosen catalyst clusters. The HRTEM image (Figure 2b) clearly shows well-graphitized layers of MWNTs with inner and outer diameter in the range of 8–13 and 16–24 nm respectively, grown from catalytic decomposition of methyl ester of
The crystalline nature of the sample synthesized is studied using Raman spectrum and it is depicted in Figure 3a. In this study, the D and G peaks are observed at about 1370 and 1563 cm−1 for the samples synthesized at 550°C. The intensity ratio value of the G and D band, i.e., IG/ID value 0.71 provides important information relative to the purity and structural quality of the nanotubes that the MWNTs are made up of defective layers. D and G peaks are observed at about 1335 and 1545 cm−1 for the samples prepared at 650°C as shown in Figure 3b. The IG/ID ratio calculated from the peak area is 1.8. A further increase in temperature from 650 to 750° C results in a rapid drop in the IG/ID ratio to one (Figure 3c). Among the chosen experimental temperatures, the highest IG/ID ratio is observed for 650°C. This indicates the highest quality and purity of samples formed at 650°C. The absence of peaks below 300 cm−1 in Raman spectrum of the carbon deposits obtained in this study reveals the absence of single walled carbon nanotubes (SWNTs) [18]. The catalytic vapor deposition of methyl ester of
The HRTEM image (Figure 5a) of MWNTs synthesized over Fe catalyst supported on silica shows the poor crystallization of walls and a layer of amorphous carbon on outer surface of the tube. The outer diameter of MWNTs are around 40–60 nm respectively. The tubular structure of CNTs (Figure 5b) grown over Fe-Co catalysts supported on silica are MWNTs with thick in size and covered with layer of amorphous carbon. The inner and the outer diameter of the MWNTs are 15 and 20–30 nm, respectively.
The Raman spectrum recorded for the MWNTs obtained over Fe catalysts supported on silica where shown in Figure 6a. The spectrum shows G-band at 1554 cm−1 and a peak at 1339 cm−1 corresponds to D-band. The IG/ID value of 0.65 evidences the imperfection in graphitization of MWNTs layers. Using Fe-Co catalyst spectrum show G-band at 1584 cm−1 and a peak at 1349 cm−1 corresponds to D-band. The value of IG/ID for the MWNTs grown on Fe-Co catalysts supported on silica is 1.1.
SEM image of MWNTs formed at the flow rate of 10 mL/h are of 50–80 nm in diameter with spaghetti like structure (Figure 7a). The increase in precursor flow rate to 30 mL per hour has resulted MWNTs are thick in size with diameter in the range of 40–70 nm as shown in Figure 7b. This may be due to higher rate of decomposition of precursor [19].
Methyl ester of
4. Box-Behnken design and data analysis for the yield percentage of MWNTs
Reaction temperature (°C), composition of catalyst (g) and feed rate of precursor (mL) were considered as independent process variables, and their individual and interactive effects on the yield percentage (as a response) of MWNTs were investigated using the Box-Behnken design approach. Syntheses of MWNTs experiments are conducted according to the design matrix and the corresponding results are tabulated in Table 1. The quadratic equation for predicting the optimum point was obtained according to the Box-Behnken design and input variables and then the empirical relationship between the response and the independent variables in the coded units for the yield percentage of MWNTs from the chosen precursor methyl ester of
Run | Factor 1 | Factor 2 | Factor 3 | Response 1 |
---|---|---|---|---|
A: reaction temperature (°C) | B: catalyst composition (g) | C: feed rate of precursor (mL) | Yield (%) | |
1 | 550 | 0.5 | 10 | 15 |
2 | 650 | 0.75 | 30 | 60 |
3 | 750 | 0.75 | 20 | 55 |
4 | 550 | 0.5 | 30 | 35 |
5 | 650 | 0.5 | 20 | 78 |
6 | 650 | 0.75 | 10 | 40 |
7 | 650 | 0.5 | 20 | 75 |
8 | 650 | 0.5 | 20 | 76 |
9 | 750 | 0.5 | 10 | 42 |
10 | 650 | 0.5 | 20 | 72 |
11 | 650 | 0.5 | 20 | 71 |
12 | 550 | 0.75 | 20 | 20 |
13 | 550 | 0.25 | 20 | 10 |
14 | 750 | 0.25 | 20 | 50 |
15 | 650 | 0.25 | 10 | 37 |
16 | 650 | 0.25 | 30 | 50 |
17 | 750 | 0.5 | 30 | 45 |
5. Analysis of variance (ANOVA)
The statistical significance of the quadratic model was evaluated by the ANOVA. The ANOVA results for the quadratic equation summarized in Table 2 for the yield percentage of MWNTs from the chosen precursor of methyl ester of
Source | Sum of squares | df | Mean square | F-value | p-value Prob > F |
---|---|---|---|---|---|
Model | 7195.064706 | 9 | 799.4516 | 24.68532 | <0.0001 |
A—temperature | 1568 | 1 | 1568 | 48.41641 | 0.0002 |
B—catalyst composition | 98 | 1 | 98 | 3.026026 | 0.1255 |
C—feed rate of carbon precursor | 392 | 1 | 392 | 12.1041 | 0.0103 |
AB | 6.25 | 1 | 6.25 | 0.192986 | 0.6737 |
AC | 72.25 | 1 | 72.25 | 2.230922 | 0.1789 |
BC | 12.25 | 1 | 12.25 | 0.378253 | 0.5580 |
A2 | 2973.602632 | 1 | 2973.603 | 91.81834 | <0.0001 |
B2 | 834.1289474 | 1 | 834.1289 | 25.75608 | 0.0014 |
C2 | 775.9184211 | 1 | 775.9184 | 23.95866 | 0.0018 |
Residual | 226.7 | 7 | 32.38571 | ||
Lack of fit | 193.5 | 3 | 64.5 | 7.771084 | 0.0382 |
Pure error | 33.2 | 4 | 8.3 | ||
Cor total | 7421.764706 | 16 |
ANOVA indicates that the actual relationship between the response and significant variables represented by the above quadratic equations are accurate. The significance of the coefficient term is determined by the values of F and p and the larger the F-value and smaller the value of p, the more significant is the co-efficient term. The p is lower than 0.05, suggesting the model to be statistically significant. For the present synthesis process, the ANOVA results indicated the Model F value was 24.68 for methyl ester of
6. Three dimensional response surface plots
To study the interaction between all three variables, three dimensional surfaces and two dimensional contours were plotted by keeping one variable constant at central level and the other two varying within the experimental ranges.
In Figure 10, the response surface and contour plots were developed for methyl ester of
The response surface and contour plots were developed for methyl ester of
The interactive effect of the feed rate of carbon precursor and catalyst composition on the percentage of yield of MWNTs at constant temperature of 650°C is illustrated in Figure 12. Piedigrosso et al. reported that amount of nanotubes formed over silica supported Co catalyst depends on content of Co [22]. A strong relationship between the catalyst and yield of MWNTs deposit was observed in this study. It is seen from Figure 12 that the yield percentage of MWNTs increases with increasing catalyst composition attains maximum and starts decreases. Increase in yield at optimum condition may be due to synergistic advantages of high catalytic decomposition, effectiveness in growing CNTs and promotional character of Fe, Co and Mo respectively.
7. Optimization of process variables
The numerical optimization was used to optimize the yield percentage of MWNTs from methyl ester of
Variables | Optimum values |
---|---|
Reaction temperature (°C) | 674.29 |
Catalyst composition (g) | 0.53 |
Feed rate of precursor (mL) | 22.28 |
Yield percentage (predicted) | 77.11 |
Yield percentage (actual) | 78 |
8. Conclusion
The present work reveals the natural precursor of methyl ester of
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