Open access peer-reviewed chapter

Impact of Crystal Parameters in XRD and DFT Measurements

Written By

Subramanian Usha and Charles Kanakam Christopher

Submitted: 25 January 2023 Reviewed: 21 June 2023 Published: 24 December 2023

DOI: 10.5772/intechopen.112291

From the Edited Volume

Density Functional Theory - New Perspectives and Applications

Edited by Sajjad Haider, Adnan Haider and Salah Ud-Din Khan

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Abstract

The Zwitterionic property of aminoacids give molecular crystal formation through homodesmotic reaction with smaller organic molecules which can undergo hydrogen bonding interactions. Alpha hydroxyl phenyl acetic acid known as mandelic acid (MA) was added with essential amino acid, L-phenylalanine (LPA) resulted in the formation of molecular crystal with P21 space group otho rhombic crystal containing four units (namely one MA, two LPA and one water) bis-L –phenyl alanine mandelate (BLPAMA) by slow evaporation method. The single crystal obtained was subjected to characterisation studies. Recrystallised BLPAMA using methanol, subjected to slow evaporation method resulted in the formation of non centerosymmetric C2 point group monoclinic single crystal of R-phenylalanine-S-mandelate (RPASMA) confirmed with XRD study. The theoretical DFT study of RPASMA using Gaussian 09 software to study the non-covalent interactions with MO6,6-31++G(d,p) showed encouraging results for the formation of low energy gap, highly reactive RPASMA. The H-bonding in the crystal confirmed by DFT study showed the existence of three units – MA, H and LPA in the crystal. Compared the experimental and theoretical crystal parameters of the reactants (MA, LPA) and product (RPASMA) for the thermo chemical properties, intermolecular hydrogen bonding existing between MA and LPA stabilises the structure of the formed RPASMA crystal resulting in the small difference in energy gap observed from HOMO-LUMO studies indicate the highly reactive character of RPASMA.

Keywords

  • crystal parameters
  • theoretical study
  • intermolecular hydrogen bonding
  • low energy gap
  • thermo chemical properties

1. Introduction

MA has a long history of use in the medical community as an antibacterial, particularly in the treatment of urinary tract infections. It has also been used as an oral antibiotic and as a component of chemical face peels analogous to other alpha hydroxy acids. LPA is an essential aromatic amino acid in humans (provided by food), LPA plays a key role in the biosynthesis of other amino acids and is important in the structure and function of many proteins and enzymes. LPA is converted to tyrosine, used in the biosynthesis of dopamine and norepinephrine neurotransmitters. The LPA is incorporated into proteins, while the D-form acts as a painkiller. Absorption of ultraviolet radiation by Phenylalanine (PA) is used to quantify protein amounts.

LPA is the L-enantiomer of PA. It has a role as a nutraceutical, a micronutrient, an Escherichia coli metabolite, a Saccharomyces cerevisiae metabolite, a plant metabolite, an algal metabolite, a mouse metabolite, a human xenobiotic metabolite and an EC 3.1.3.1 (alkaline phosphatase) inhibitor. It is an erythrose 4-phosphate/phosphoenolpyruvate family amino acid, a proteinogenic amino acid, a phenylalanine and a L-alpha-amino acid. LPA is a conjugate base of a L-phenylalaninium, conjugate acid of a L-phenylalaninate, an enantiomer of a D-phenylalanine and a tautomer of a L-phenylalanine zwitterion.

Homodesmic reaction of MA and LPA results in the two/four components molecular single crystals due to the zwitter ionic form of phenyl alanine. The formation of non linear crystals having low energy gap highly reactive phenylalanine mandelates are stabilised due to the intermolecular H-bonding and intramolecular hydrogen bonding along with the van der Waals forces of attraction between the molecules in the crystal formation [1, 2]. The hydrogen bonding interactions induces the polarisability character and dipole moments of the compounds are resulting in the application of the compounds in different areas like opto electronics property, biological activity, antioxidant activity etc., [3, 4, 5]. The experimental solid state measurements are compared with the theoretical gaseous state measurement for the crystal parameters, FTIR, FT Raman, thermochemical properties to confirm the applications of the product and the reactants. Nonlinear nature of the compounds comply with the expected vibrational frequencies calculated using the formula (3N-6) with the theoretical vibrational changes contribution to Total Energy Distribution (TED) [6]. The charge transfer mechanism in the molecule and the presence of high antioxidant power and antiradical power of RPASMA is confirmed by Homo-Lumo small energy gap, electrochemical Cyclic Voltametric analysis [7, 8].

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2. Materials and methods

The compounds MA and LPA were taken to obtain the two component molecular crystal RPASMA by two steps mentioned below.

2.1 Step – 1: Synthesis of BLPAMA

Alfa Aesar DL- Mandelic acid(99%) and Nice chemicals L-phenylalanine in the molar ratio 1:2 respectively were taken in a beaker, dissolved in water, stirred well in a magnetic stirrer and obtained the molecular crystal BLPAMA by slow evaporation at room temperature. Confirmed the crystal structure by characterisation studies.

2.2 Step – 2: Synthesis of RPASMA

BLPAMA crystals were dissolved in 1:10 mmol in AR grade methanol, filtered, a clear pale yellow solution was obtained. Filterate was allowed to slow evaporation at RT, resulted in yellow coloured molecular crystals and confirmed the structure by characterisation studies.

Non-centerosymmetric crystal information of RPASMA given in CCDC number 1452128.

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3. Computational analysis

Gaussian 09 with MO6 DFT 6-31++G(d,p) basis set shows the existence of hydrogen bonding charge transfer mechanism in the molecular crystal formation resulting in the formation of non-centerosymmetric structure having C2 space group [9]. Experimental parameters in the solid crystalline state XRD is compared with the gaseous phase density functional measurement using Gaussian 09 with MO6 DFT 6-31++G(d,p) basis sets are compared and discussed in detail [10]. The optimised DFT structure of the compounds are shown in the Figures 13.

Figure 1.

Labelled MA.

Figure 2.

Labelled LPA.

Figure 3.

Optimised labelled structure of RPASMA using MO6 DFT with 6-31++G(d,p).

The interactions in the title compounds, types of electrons, protons, vibrations are compared and discussed in detail [11]. Comparison of thermo chemical properties of the compounds show the energy involved during the crystal formation [12]. The electron transfer from the LPA molecule Highest occupied molecular orbital (HOMO) interaction with the lowest unoccupied orbital (LUMO) of MA molecule is confirmed from the theoretical DFT study supports the experimental study of the compounds [13].

As the size of the molecule increases the charge and dipole moment increase and hence polarisability increases as shown in Table 1.

ParticularsMADFT.outLPADFT.outRPASMADFT.out
File Type.log.log.log
Calculation TypeFREQFREQFREQ
Calculation MethodRM06RM06RM06
Charge000
SpinSingletSingletSinglet
SolvationNoneNoneNone
E(RM06) Hartree−535.04918−554.4665−1089.5313
RMS Gradient Norm Hartree/Bohr2.14E-058.30E-061.59E-05
Imaginary Freq000
Dipole Moment Debye3.29377094.9247597.0780304
Polarizability a.u.100.668117.08567215.24667

Table 1.

Comparison of DFT details of MA, LPA and RPASMA using G09 MO6-31++G(d,p).

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4. Results and discussion

The compound RPASMA formed through donor-acceptor charge transfer mechanism during noncenterosymmetric monoclinic molecular crystal formation results in the variation of bond lengths, bond angles, dihedral angles and torsional angles than expected values. The hydrogen bonding interactions give distorted noncenterosymmetric structure during crystallisation. The XRD values and the DFT values are compared for the compounds MA, LPA and RPASMA and are reported in detail.

4.1 Bond length

The expected average C-C bond length is 1.54 Å, C-O bond length is 1.43 Å, C-N bond length is 1.43 Å, C-H bond length is 1.09 Å, C=O bond length is 1.23 Å, O-H bond length is 1.67 Å, N-H bond length is 2.1 Å. The comparative bond length study of the compounds show the C-C, C-H, C-O and O-H the equal XRD and DFT values shown in the Table 2. The hydrogen bonding existing in C-O, O-H, N-H, C-H shows considerable variation in values in RPASMA for the respective atoms of MA and LPA. N1-H9 bond length in LPA theoretical value is higher than experimental value due to the measurement in gaseous state and solid state and the zwitterionic nature of amino acid [14].

ExperimentalTheoreticalCorresponding atoms in RPASMAExperimentalTheoretical
Atoms in MAC1-C21.5071.519C7-C81.5211.525
C1-O11.2981.347C8-O11.2011.223
C1-O21.1971.203C8-O21.2981.308
C2-H10.9791.103C7-H70.9811.101
C2-C31.5051.514C6-C71.5161.514
C2-O31.4071.402C7-O31.4091.407
C3-C41.3661.397C6-C51.3811.395
C3-C81.3591.394C6-C11.3681.395
C4-H50.931.088C5-H50.931.091
C4-C51.3691.391C4-C51.3781.392
C5-H40.9291.087C4-H40.9311.089
C5-C61.3441.394C4-C31.3611.394
C6-H30.9311.087C3-H30.9311.088
C6-C71.3291.392C3-C21.3711.393
C7-H20.9311.087C2-H20.9311.088
C7-C81.3781.392C2-C11.3821.392
C8-H60.9291.089C1-H10.9311.088
01-H70.8190.971O1-H1D0.8110.964
O3-H80.8190.964O3-H3A0.8111.011
Atoms in LPAC1-C21.5191.533C17-C161.5321.557
C1-O11.2271.205C17-O41.2511.269
C1-O21.2511.336C17-O51.2291.227
C2-H10.9811.102C16-H160.9811.097
C2-C31.5191.539C16-C151.5271.523
C2-N11.4861.465C16-N11.4831.506
C3-H20.9691.099C15-H15A0.9711.096
C3-H30.9711.098C15-H15B0.9711.101
C3-C41.4991.507C15-C141.5021.505
C4-C51.3731.398C14-C131.3831.401
C4-C91.3761.397C14-C91.3811.395
C5-H40.9311.091C13-H130.9311.089
C5-C61.3691.392C13-C121.3811.391
C6-H50.9311.088C12-H120.9311.088
C6-C71.3681.392C12-C111.3611.393
C7-H60.9311.088C11-H110.9311.088
C7-C81.3591.392C11-C101.3561.391
C8-H70.9291.088C10-H100.9311.088
C8-C91.3751.392C10-C91.3771.392
C9-H80.9311.088C9-H90.9311.092
N1-H90.8951.959N1-H1A0.8911.052
N1-H101.0061.014N1-H1B0.9411.025
N1-H110.8841.018N1-H1C0.8811.021

Table 2.

Bond length (Å).

4.2 Bond angle (Å)

The intermolecular hydrogen bonding during the crystallisation of RPASMA give variations in bond angles due to sp3 hybridisation and sp2 hybridisation compounds because of their measurements in solid phase XRD and gaseous phase DFT are shown in the Table 3 and theoretical values are due to the intramolecular hydrogen bonding and the respective measurements in the RPASMA are due to the internal strain and stress factors experienced during inter molecular hydrogen bonding. In the experimental and theoretical measurements of LPA show variation in bond angles due to the zwitter ionic nature of amino acid and the respective atoms in RPASMA show variation in the atoms involved in inter molecular hydrogen bonding which causes strain in the crystallisation [15].

ExperimentalTheoreticalCorresponding atoms in RPASMAExperimentalTheoretical
Atoms in MAC2-C1-O1111.576110.029C7-C8-O1104.651106.701
C2-C1-O2124.451126.239C7-C8-O2122.801122.141
O1-C1-O2123.961123.677O1-C8-O2124.361126.171
C1-C2-H1108.204107.312C8-C7-H7109.101106.451
C1-C2-C3112.203108.162C8-C7-C6111.431110.231
C1-C2-O3108.211107.248C8-C7-O3112.801111.681
H1-C2-C3108.221108.863H7-C7-C6109.101108.771
H1-C2-O3108.192111.824H7-C7-O3109.045111.395
C3-C2-O3111.681113.194C6-C7-O3113.482113.073
C2-C3-C4120.832119.431C7-C6-C5119.401120.101
C2-H1-C8121.411120.819C7-H7-C1121.601120.281
C4-C3-C8117.744119.746C5-C6-C1119.001119.611
C3-C4-H5119.749119.095C6-C5-H5119.901120.261
C3-C4-C5120.427119.984C6-C5-C4120.301120.281
H5-C4-C5119.824120.921H5-C4-C5119.901120.261
C4-C5-H4119.497119.814C4-C5-H4119.701120.141
C4-C5-C6120.937120.141C4-C5-C3120.501120.001
H4-C5-C6119.566120.045H4-C5-C3119.421120.103
C4-C5-H3120.252120.034C5-C3-H3109.053108.774
C4-C5-C7119.411119.961C5-C3-C2111.424108.774
H3-C5-C7120.336120.005H3-C3-C2120.301120.121
C5-C7-H2119.635120.178C3-C2-H2119.801120.041
C5-C7-C8120.662119.957C3-C2-C1120.501120.201
H2-C7-C8119.704119.864H2-C2-C1119.801119.761
C3-C8-C7120.802120.209C6-C1-C2120.201120.071
C3-C8-H6119.631119.517C6-C1-H1119.901119.101
C7-C8-H6119.568120.274C2-C1-H1119.901120.841
C1-O1-H7109.441107.042C8-O1-H1D114.798108.093
C2-O3-H8109.459108.257C7-O3-H3A107.024112.549
Atoms in LPAC2-C1-O1118.488123.816C16-C17-O4118.401113.841
C2-C1-O2116.555113.748C16-C17-O5117.201115.261
O1-C1-O2124.906122.421O4-C17-O5124.301130.901
C1-C2-H1109.025104.789C17-C16-H16107.701108.391
C1-C2-C3111.507112.325C17-C16-C15111.201113.161
C1-C2-N1109.834108.267C17C16-N1110.571107.111
H1-C2-C3109.055108.249H16-C16-C15107.701110.161
H1-C2-N1109.029106.434H16-C16-N1107.701106.891
C3-C2-N1108.351116.027C15-C16-N1111.701110.891
C2-C3-H2109.061107.115C16-C15-H15A108.401105.381
C2-C3-H3109.016109.336C16-C15-H15B108.401110.091
C2-C3-C4113.019113.935C16-C15-C14115.381112.841
H2-C3-H3107.729107.264H15A-C15-H15B107.501107.301
H2-C3-C4108.927108.417H15A-C15-C14108.401111.031
H3-C3-C4108.953110.504H15B-C15-C14108.401109.991
C3-C4-C5120.524119.383C15-C14-C13120.801120.521
C3-C4-C9121.631121.944C15-C14-C9121.601120.511
C5-C4-C9117.834118.666C13-C14-C9117.601118.931
C4-C5-H4119.346119.315C14-C13-H13119.501119.321
C4-C5-C6121.301120.995C14-C13-C12120.901120.251
H4-C5-C6119.354119.687H13-C13-C12119.501120.421
C5-C6-H5120.147119.944C13-C12-H12119.901119.711
C5-C6-C7119.766119.872C13-C12-C11120.201120.371
H5-C6-C7120.087120.182H12-C12-C11119.901119.921
C6-C7-H6119.976120.178C12-C11-H11120.201120.061
C6-C7-C8120.087119.598C12-C11-C10119.701119.771
H6-C7-C8119.936120.224H11-C11-C10120.201120.161
C7-C8-H7120.041120.024C11-C10-H10119.701120.111
C7-C8-C9119.768120.411C11-C10-C9120.501119.871
H7-C8-C9120.191119.565H10-C10-C9119.701120.021
C4-C9-C8121.223120.458C14-C9-C10121.101120.801
C4-C9-H8119.384119.035C14-C9-H9119.501119.391
C8-C9-H8119.393120.404C10-C9-H9119.501119.811
C2-N1-H9112.67582.203C16-N1-H1A113.501112.231
C2-N1-H10110.662111.593C16-N1-H1B107.801107.301
C2-N1-H11109.646111.219C16-N1-H1C112.701113.631
H9-N1-H10105.982133.369H1A-N1-H1B109.001102.361
H9-N1-H11106.483107.774H1A-N1-H1C105.001109.561
H10-N1-H11111.294107.603H1B-N1-H1C108.001111.161

Table 3.

Bond angle (Å).

4.3 Dihedral angle

Dihedral angle value increases in the RPASMA compared to MA and LPA, it shows decrease in value where the hydrogen bonding takes place. The negative values in the case of molecular crystal is due to the formation non-centerosymmetric organic salt having delocalisation of charge. The steric hindrance give distorted ring structure is shown in the Table 4. The decrease in torsional values of salt compared to the MA and LPA shows the high symmetry attained during crystallisation due to hydrogen bonding interactions. The charge transfer mechanism during crystallisation result in negative values [16].

ExperimentalTheoreticalCorresponding atoms in RPASMAExperimentalTheoretical
Atoms in MAO1-C1-C2-C359.38181.265O1-C8-C7-C669.90094.817
O1-C1-C2-O3−176.954−156.333O1-C8-C7-O3−167.100−167.106
O2-C1-C2-C3−121.821−96.124O2-C8-C7-C6−110.800−110.852
O2-C1-C2-O31.84426.279O2-C8-C7-O312.20038.300
C1-C2-C3-C469.56173.525C8-C7-C6-C5−70.900−70.832
O3-C2-C3-C4−52.141−45.164O3-C7-C6-C5171.300150.782
O2-C2-C3-C8126.482135.629O3-C7-C6-C1−6.900−28.943
C8-C3-C4-C5−0.900−0.560C1-C6-C4-C5−1.6000.480
C2-C3-C8-C7−177.848−179.502C7-C6-C1-C2179.200178.505
C3-C4-C5-C61.1850.425C6-C4-C5-C31.3000.561
C4-C5-C6-C7−1.347−0.024C4-C5-C3-C2−0.300−0.862
C6-C5-C8-C3−1.0140.103C3-C2-C1-C60.1000.924
Atoms in LPAO1-C1-C2-C3−91.018−24.481O5-C17-C16-C15−75.300−54.612
O1-C1-C2-N1148.858−153.905O5-C17-C16-N1160.000−177.121
O2-C1-C2-C386.524156.910O4-C17-C16-C15103.200125.749
O2-C1-C2-N1−33.60127.485O4-C17-C16-N1−21.5003.240
C1-C2-C3-C470.64488.972C17-C16-C15-C14−56.400−63.318
N1-C2-C3-C4−168.363−145.745N1-C16-C15-C1467.60057.061
C2-C3-C4-C581.91090.273C16-C15-C14-C9−84.500−102.871
C2-C3-C4-C9−99.128−88.697C16-C15-C14-C1394.90074.611
C9-C4-C5-C61.0120.228C13-C14-C9-C10−0.300−0.811
C3-C4-C9-C8−179.174178.940C15-C14-C13-C12−179.600−176.669
C5-C4-C9-C8−0.185−0.037C9-C14-C13-C12−0.2000.853
C4-C5-C6-C7−1.703−0.263C14-C9-C10-C110.5000.359
C5-C6-C7-C81.5460.105C9-C10-C11-C12−0.2000.060
C6-C7-C8-C9−0.7360.083C10-C11-C12-C13−0.300−0.014
C7-C8-C9-C40.055−0.117C11-C12-C13-C140.500−0.449

Table 4.

Dihedral angle (Å).

4.4 Bond alteration coefficient

The Bond Alteration Coefficient (BAC) of the compounds show the solid state experimental measurements of MA and RPASMA are almost equal but the theoretical gaseous phase measurements are varying due to van der Waals forces of attraction. The BAC of LPA and RPASMA are showing variations in both solid and gaseous phase measurements indicate the zwitter ionic nature of LPA leads to charge transfer mechanism as shown in the Table 5.

ExpBACDFTBACRPASMAExpBACDFTBAC
MAC1-C21.5071.519C17-C161.5211.525
C2-C31.5050.0021.5140.005C16-C151.5160.0051.5140.009
C3-C41.3660.1391.3970.117C15-C141.3810.1351.3950.119
C4-C51.369−0.0031.3910.006C14-C131.3780.0031.3920.003
C5-C61.3440.0251.394−0.003C13-C121.3610.0171.3940.002
0.1660.1280.160.133
LPAC4-C51.3761.397C13-C141.3831.401
C5-C61.3690.0071.3920.005C12-C131.3810.0021.3910.01
C6-C71.3680.0011.3920C11-C121.3610.021.393−0.002
C7-C81.3590.0091.3920C10-C111.3560.0051.3910.002
C8-C91.3750.0161.3920C9-C101.3770.0211.392−0.001
0.0330.0050.0480.012

Table 5.

Bond alteration coefficient analysis of the title compounds.

4.5 Hydrogen bonding

The hydrogen bonding in XRD values and DFT values confirm the charge transfer mechanism happening between donor- acceptor interactions resulting in the formation non centerosymmetric crystallisation [17] as shown in the Table 6.

D – H….. Ad(D-H)d(H…..A)d(D…..A)∠DHA
Expt.Theo.Expt.Theo.Expt.Theo.Expt.Theo.
C(15) – ….. O(5)0.9701.0962.8772.5973.0722.92892.2796.32
O(3) – H(3A)….. O(4)0.8121.0111.8071.6062.6052.607167.15116.70
N(1) – H(1A)….. O(2)0.8861.0522.0571.7472.9182.744163.59156.50
N(1) – H(1B)….. O(4)0.9401.0252.8192.2132.7042.52973.3295.68

Table 6.

Hydrogen bonding in RPASMA.

4.6 Mulliken atomic charges for MA, LPA and RPASMA

Mulliken atomic charges of the compounds show large positive charges of the acceptor hydrogen atoms and high negative charges of the donor O atom and N atoms respectively. MA and RPASMA show decrease in charge values respectively but the carbon atoms close to hydrogen bonding show increase in the atomic charge value. H1A of RPASMA connected to nitrogen atom show higher positive charge compared to LPA because of charge transfer interactions during hydrogen bonding [18]. The Mulliken atomic charges show the presence of charge transfer mechanism in the crystal formation as shown in the Table 7.

MA ATOMChargeCorresponding atoms in RPASMAChargeLPA ATOMChargeRPASMA ATOMCharge
C10.246C8−0.267C10.405C170.108
C20.13C70.744C2−0.518C16−0.176
C3−0.648C6−1.259C30.079C150.055
C40.699C50.094C4−0.082C14−0.544
C5−0.114C4−0.219C5−0.107C130.214
C60.045C3−0.001C6−0.112C12−0.004
C7−0.246C20.006C70.002C11−0.289
C8−0.419C10.19C8−0.297C10−0.034
H10.137H70.132C9−0.016C90.081
H20.144H20.132H10.199H160.171
H30.112H30.134H20.147H15A0.217
H40.107H40.129H30.164H15B0.107
H50.109H50.128H40.075H130.164
H60.094H10.137H50.1H120.137
H70.4H1D0.385H60.098H110.047
H80.388H3A0.556H70.104H100.131
O1−0.416O1−0.407H80.15H90.081
O2−0.375O2−0.339H90.416H1A0.506
O3−0.393O3−0.333H100.335H1B0.403
H110.332H1C0.395
O1−0.469O4−0.641
O2−0.395O5−0.429
N1−0.61N1−0.642
Total charge0−0.05800.058

Table 7.

Mulliken atomic charges for MA, LPA and RPASMA.

4.7 Proton NMR

The non centerosymmetric structure of the RPASMA show the chemical shifts for the various type of protons as expected for both shielding effect and deshielding effect as shown in the Table 8. The OH proton present in the H-C-OH environment and the COOH environment close to each other. The molecular strain in the molecule due to hydrogen bonding leads to the values for both experimental and theoretical values in the measurements of XRD and DFT respectively as shown in the Figures 4 and 5.

Hydrogen atom numberPosition in RPASMAExperiment (ppm)Theoretical (ppm)
H1MA aromatic ring7–89.65
H2MA aromatic ring7–87.98
H3MA aromatic ring7–87.47
H4MA aromatic ring7–87.57
H5MA aromatic ring7–89.5
H1DH in H-C-OH in MA56.13
H7H in OH in H-C-OH in MA3.72.9
H3AH in COOH in MA7–89.7
H9LPA aromatic ring7–87.64
H10LPA aromatic ring7–88.26
H11LPA aromatic ring7–86.14
H12LPA aromatic ring7–87.99
H13LPA aromatic ring7–89.7
H15ACH2 in LPA7–84.32
H15BCH2 in LPA3.74.31
H16H in C connected to N in LPA3.84.1
H1AH in NH3+ in LPA connected to MA5.17.63
H1BH in NH3+ in LPA5.17.5
H1CH in NH3+ in LPA5.17.2

Table 8.

Proton NMR.

Figure 4.

Proton NMR of RPASMA.

Figure 5.

Carbon NMR of RPASMA.

4.8 Carbon NMR

Carbon NMR calculated to TMS show similar values for both experimental and theoretical values of chemical shifts, Table 9. The experimental values are less compared to the theoretical values because of the method of estimation in the solid state and gaseous state respectively. Aromatic carbon shifts show the increase in theoretical values, the functional group carbon atoms show almost same or decrease in theoretical values may be due to the charge delocalisation in solid and gaseous phases respectively.

Carbon atom numberPosition in RPASMAExperiment (ppm)Theoretical (ppm)
C1MA aromatic ring127.08143.97
C2MA aromatic ring127.97137.71
C3MA aromatic ring128.51145.51
C4MA aromatic ring128.85141.83
C5MA aromatic ring129.88139.73
C6MA aromatic ring connected to C7129.88164.08
C7H-C-OH in MA72.9373.28
C8COOH in MA174.51157.17
C9LPA aromatic ring127.08122.26
C10LPA aromatic ring127.97136.26
C11LPA aromatic ring128.51144.24
C12LPA aromatic ring128.85142.21
C13LPA aromatic ring129.88145.84
C14LPA aromatic ring129.88154.76
C15LPA -CH2129.88146.33
C16LPA -C-N36.9960.94
C17COOH in LPA140.96120.39

Table 9.

Comparative carbon NMR data of RPASMA.

4.9 FTIR

The non linear aromatic molecules obey the 3N-6 rule for fundamental modes of vibrations, (N is the total number of atoms in the molecule). The number of atoms in MA are 19 and the fundamental modes of vibrations expected are 51, also confirmed by DFT study. The presence of total number of 23 atoms in LPA show 63 fundamental modes of vibrations by FTIR, which has been confirmed by DFT study. The RPASMA molecule with 42 atoms which shows 120 modes of fundamental vibrations confirmed by DFT study. The comparative FTIR PLOT of the title compounds is shown in the Figure 6.

Figure 6.

Comparison of FTIR of the compounds.

4.10 FT Raman

The polarisation effect leading to dipole change is measured using FT Raman. The charge transfer mechanism in the RPASMA is confirmed by the FT Raman study and is shown in the Figure 7 and the respective values are given in the Table 10.

Figure 7.

Comparison of the compounds FT Raman study.

Wavenumber (cm−1)MALPARPASMA
30600.0920.1100.081
29390.0330.0650.029
16040.0330.0320.028
11890.0220.0120.017
10320.0170.0130.016
10000.0550.0590.048
8610.0160.0140.010
8220.0020.0130.009
7570.0160.0130.008
6170.0100.0080.008

Table 10.

Comparison of Raman intensities of MA, LPA and RPASMA.

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5. Thermochemical properties

The thermochemical properties of the compounds indicate the spontaneity of the reaction and it is accompanied by the decrease in free energy. As the polarisation increases due to charge transfer mechanism, donor – acceptor interactions, the dipole moment increases in the compound after crystallisation as bimolecular single crystal (Table 11).

ParameterMALPARPASMA
Total Energy (E) Hartree−535.04918−554.4665−1089.5313
Zero point Vibrational Energy Kcal/Mole93.1878119.2589213.9199
Dipole moment (Debye)3.29384.92477.0780
Total heat capacity Cal/Mole-Kelvin36.518041.487081.5680
Total Entropy Cal/Mole-Kelvin97.6190104.5540151.3150
Total thermal Energy Kcal/Mol99.2460126.0270227.1680

Table 11.

Comparison of thermochemical properties of MA, LPA and RPASMA.

The comparison of HOMO – LUMO energy details Figures 8 and 9 show the low energy gap in RPASMA formation from the donor – acceptor interactions of MA and LPA, which is resulting in the formation of less stable and highly reactive compound as shown in the Table 12 [19, 20].

Figure 8.

RPASMA HOMO PLOT.

Figure 9.

RPASMA LUMO PLOT.

ParameterMALPARPASMA
HOMO (Orbital)404484
HOMO (Energy)−0.27163−0.25791−0.25269
LUMO (Orbital)414585
LUMO (Energy)−0.04288−0.05366−0.06529
Energy Gap−0.22875−0.20425−0.1874

Table 12.

Comparison of HOMO – LUMO energies of MA, LPA and RPASMA.

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6. Conclusion

The donor – acceptor interactions in the MA and LPA, give charge transfer mechanism in monoclinic RPASMA. The comparative study of the compounds show the parameters of solid state XRD measurements and the gaseous state DFT measurements are comparable. This study also confirms the product having inter and intra molecular hydrogen bonding, polarisation and van der Waals forces of attractions. The C2 space group results in noncenterosymmetric crystal structure. The FTIR vibrational study confirms the XRD and DFT parameters. The low energy gap of the RPASMA results in highly reactive nature and possibilities of compound in biological activity.

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Conflicts of interest

None.

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Written By

Subramanian Usha and Charles Kanakam Christopher

Submitted: 25 January 2023 Reviewed: 21 June 2023 Published: 24 December 2023