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Article

Computational-Simulation-Based Behavioral Analysis of Chemical Compounds

by
Pushpalatha Rajendran
1,
Ramadevi Rathinasabapathy
2,*,
Somasundaram Chandra Kishore
2 and
Stefano Bellucci
3,*
1
Department of Electronics and Communications Engineering, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Saveetha University, Chennai 602105, India
2
Department of Biomedical Engineering, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Saveetha University, Chennai 602105, India
3
INFN-Laboratori Nazionali di Frascati, 00044 Frascati, Italy
*
Authors to whom correspondence should be addressed.
J. Compos. Sci. 2023, 7(5), 196; https://doi.org/10.3390/jcs7050196
Submission received: 1 March 2023 / Revised: 13 April 2023 / Accepted: 1 May 2023 / Published: 10 May 2023
(This article belongs to the Section Composites Modelling and Characterization)

Abstract

:
This research focuses on obtaining the behavior of chemical compounds with respect to their molecular weight and optimization energy based on the variation in properties in organic carbon links. Here, behavioral analysis of compounds is used in the application of a metal organic framework to denote the high-grade compounds. The grade was selected based on the essential measure of optimization energy and molecular weight, and in turn, depicts the stability of material. Computation of the optimization energy and molecular weight of chemical compounds was performed with Avogadro software. Several force fields can be considered to compute optimized energy. Exclusively, three force fields, namely, the Universal Force Field (UFF), the General Amber Force Field (GAFF), and the Ghemical force field (Ghemical) were selected from Avogadro as these were more relevant to compounds considered in this research. The various chemical compounds examined in this work are Aluminum (Al), Boron (Br), Calcium (Ca), Chlorine (Cl), Indium (In), Potassium (K), Scandium (Sc), Silicon (Si), and Tungsten (W). Hence, molecular modeling of different compounds incorporated with three different force fields was evaluated in this work. In this study, we found that the In structure has more energy reduction, of 22.673 kJ mol−1 in UFF, when compared with the other two force fields. Thus, In has higher potential with more stability.

1. Introduction

In general, behavioral analysis is the study of behavior with respect to the composition and structure of substances. In addition to studying structures, interactions between molecules also play a major role in acquiring the stability of the chemical compound. In this work, stability is examined based on the analysis of two important measures, the optimization energy and molecular weight of various compounds. Molecular weight is the unit of measurement used to describe a molecule’s mass. Every molecule has a unique atomic weight that corresponds to the average of its atomic masses. Combining the atomic weights of each atom in a molecule gives the molecular weight. It is a crucial tool for obtaining the ideal operating conditions and required design parameters, and is used for formulating all the material composite model structures with energy minimization [1]. The computational part was carried out with the help of Avogadro software. Avogadro software is used to determine the optimization energy; it is necessary to use the auto-optimization energy tool since it allows users to assign inputs for a variety of compounds as well to view the output files. Before optimization, the lengths and angles of the links and joints do not persist in the exact geometry. During the optimization, the lengths and angles of the links and joints are secured with appropriate geometry and convey optimized energy. Thus, variation in the angles and bond lengths of organic links and joints within the structured formation of different chemical compounds specifies the optimized energy. These optimized chemicals have a vital role in making metal organic frameworks for supercapacitors. In recent times, chemical compounds that provide high stability have been used to enhance the quality of life in battery-based electronic appliances. Through this analysis, if high-stability chemical compounds are modeled, these can be used as coatings on MOF layers to enhance the quality of appliances.
Previous research mimicked the nanofluid flowing inside the Al nanochannel, which is made up of Al nanoparticles dispersed in Al as the base fluid. For the atomic structure of nanofluids, profiles of physical characteristics such as potential energy, density, velocity, and temperature are computed. These calculations demonstrate that the vacancy defect leads to a decrease in density and an increase in velocity [2]. The binding modes of the molecules with the lowest docking score values were used for subsequent molecular dynamics (MD) simulations in conjunction with free-energy calculations because the experimental crystal structures in a complex with hGSTP1-1 have not yet been established. The Q5 software package was applied to perform Assisted Model Building with Energy Refinement (AMBER) and measure GAFF force fields, and calculate the free energy of several molecules [3]. To increase efficiency and reduce the systems’ size in thermal conductivity (Knf) of water–copper, NF was examined as a function of nanochannel wall temperature, copper nanoparticle (NP) size, and force field type (DREIDING, Universal Force Field (UFF), and CHARM) [4]. In recent work, Avogadro software has been used for simulating the interaction between 12 metal atoms with an apigenin model structure to determine the energy minimization. This research was crucial for overcoming the problem of drugs adhering to nanoparticles. To improve the stability, one metal atom was added to the structure of apigenin, for which zinc was formulated as the most suitable metal atom [4].
Among the existing techniques, computational modeling of structures is mainly used to assist the chemicals to form a structure and also to calculate the parameters involved in the structures [5]. In the current situation, many software packages are used for modeling the structure based on the computational process. An advanced molecular editor and visualizer have been created for cross-platform use. Avogadro is a project for computational chemistry, molecular modeling, materials science, and related subjects [6]. Another important parameter considered was optimization energy, which is the means of finding the arrangement of chemical compounds according to a computational model of chemical bonding. In this research, these two important measures were obtained using Avogadro software, which is a progressive molecular editor and visualizer designed for cross-platform use in simulating the chemical models [7]. It includes a strong plugin architecture, flexibility, and high-quality rendering, and common uses include construction of molecular structures, setting up input files, and examining the results of numerous computational chemistry software programs. The purpose of Avogadro is to improve the semantic accessibility of chemical data types by utilizing the Chemical Markup Language (CML) file format [8]. Even in Indium-silico investigation, a metal-nanocomposite structure with the antiviral medicine ribavirin using 12 metals was devised using Avogadro software. This structure was then subjected to energy minimization [9]. Additionally, research facilities have examined a growing number of metal-based medications for their antiviral activity using Avogadro software. In theoretical research on previously published biologically active complex compounds of vanadium, for molecule structural clarification and optimization, DFT calculation investigations have been carried out [10]. The force field of the diverse MMFF94 in the Avogadro program can be used to perform the structural and electronic characterization of the drug. Through the semi-empirical approach, these calculations are carried out to determine the particle’s fundamental attributes, which are known to be its stable energy conformation, potential energy, and formation heat. The optimized energy was obtained by linear optimization through traditional force field calculations using the Avogadro setup of the MMFF94 diverse steepest descent until reaching the point of the lowest degree of potential energy and the empirically more stable conformation of its endemic form [11].
Avogadro is an editor and visualizer for molecules. It is also a piece of software used in science. Avogadro is particularly helpful in the classroom because it aids in the creation of accurate models. In recent research, keto and enol forms of the molecule were created using the Avogadro 1.1 software in consideration of the compound’s biological significance. The performance of each compound can be determined based on its properties. This software also allows the determination of the properties, such as molecular and atomic bonds of both forms of the compound, as well as the presence of a response between them [12]. A study developed using Avogadro software investigated the effects of three-dimensional simulations and molecular representations on student conceptual knowledge of chemistry and attitudes toward learning science [13]. There are a large number of parameters used to conduct the structure modeling in Avogadro software. For a better understanding of bio-availability and computational chemistry, analysis of the highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) analysis, electrostatic potential maps, virtual Fourier transform infrared (FTIR) spectra, statistical thermodynamics parameters, and chemo-metrics was undertaken [14].
An ongoing international scientific effort to precisely determine parameters has produced new findings by isotopically investigating the atoms to improve silicon crystal. The Avogadro constant can be obtained and used to calculate other newly improved parameter measurements [15].
Both specialists and learners will find it easy to perform calculations and visualize the results owing to the band structure and graphical user interface. Fast simulations of the electrical structures of 1D, 2D, or 3D periodic chemical compounds are made possible by Avogadro [16]. The conversion from 2D to 3D structures was performed using Avogadro software. PDF files of HSA and TFE were generated using Avogadro software [17,18]. In this research, UFF, GAFF, and Ghemical Force Field are considered for analysis [19,20]. UFF generally reproduces the most structural features across the periodic table with parameters such as bond lengths and bond angles for almost all elements [21,22]. All structures were plotted with Avogadro software [23,24]. Ghemical is mainly used for molecular dynamics and energy optimization; in addition, it executes geometries of organic carbon links in compounds [25,26]. The performance of GAFF in optimization is encouraging [27]. MOFs are crystalline substances made up of stiff organic molecules that are ordered and kept together by metal ions or clusters [28]. All these quantitative terms have been parameterized and are collectively referred to as the ‘forcefield’ [29,30]. The energy surface’s characteristics are frequently taken into account while determining the step’s size [31]. Each element occupies a site of lower potential energy within the structure and makes the overall potential energy of the structure as small as possible; thus, the energy is reduced during the optimization [32]. For a straight or flat surface, larger steps would be more effective than for a slender or narrow modified valley, when more steps of a smaller size would be more appropriate [33]. UFF optimizes well with inorganic materials and organic materials [34]. The geometry optimization procedure calculates the energy at an initial geometry of a molecule and then proceeds to search for a new geometry with a lower energy [35].
Different force fields have been applied in the existing work. Among these force fields, we utilize only three force fields. In this research, widely considered chemical compounds in MOF layers, such as Aluminum, Boron, Calcium, Chlorine, Potassium, Scandium, Tungsten, Indium, and Silicon, were considered for computation and analysis. The use of the UFF force field through the Avogadro software results in the lowest energy consumed by the compounds so that energy minimization occurs. The chemical compounds are attached in the structure to carbon and oxygen. With the energy minimization process, the angle length and bond length are reduced from the structure. In recent work, due to their poor solubility and bio-availability, drugs in BCS Classes II and IV pose a significant challenge to formulators. The BCS IV molecule alectinib hydrochloride (ALB) has very poor solubility, which results in low bio-availability. The goal is to use the Amorphous Solid Dispersion (ASD) method to increase the solubility and dissolution of ALB using Avogadro software using the Universal Force Field (UFF) with the steepest descent algorithm. The energy-minimized structures are then fed to Autodock4 software [36]. In the existing process, interaction between the aspirin and protein’s atomic behavior in the water system is encased in a metallic nanochannel at the same moment. The Cu nanochannel conditions were in a balanced state, and the molecular dynamics (MD) method was applied to achieve this objective. Atomic architecture also made use of Avogadro. There is also the belief that UFFs serve important interatomic purposes [37]. The compounds were analyzed for energy minimization using the Avogadro 1.2.0 software prior to molecular docking. UFF in the Avogadro software optimized the compounds’ molecular geometries and employed the steepest descent method to minimize their structural complexity [38,39]

2. Materials and Methods

The purpose of this work is to determine the molecular weight and the optimized energy of different compounds using a computational method through the chemical program. The molecular structure of chemical compounds with organic carbon linkers was designed using Avogadro-1.2.0n-win32 for Windows and subjected to energy minimization. Avogadro allows the users to obtain the molecular weight and design practically any compound with the optimized geometry corresponding to different force field options. GAFF is specifically parameterized for organic carbon link compounds made up of C, N, O, H, S, P, F, Cl, Br, and I. In this work, energy minimization of chemical compounds in all of the three force fields was achieved with a one-dimensional structure. In the one-dimensional structure, the link should be connected firmly; otherwise, during optimization, it will be separated from the structure, and later provide erroneous energy values.
In this research, the general structure considered to join the chemical element and organic carbon links is M4O(CO2)6, as this type of structure has been considered for increasing the MOF surface area. Here, M is the material under test and is changed for the development of other models. The remaining structure of the formula indicates the organic carbon links and oxygen, which remains the same throughout the process. According to this structure, four chemical elements are joined with a single oxygen molecule at the center, and then six carbon dioxide molecules are connected around the chemical compounds. The entire elements should be linked with each other. For developing other models, only M has to be changed, namely, Al, Br, Ca, Cl, In, K, Sc, Si, and W. In total, nine elements were considered for analysis. The selected elements were made up of the combination of metal and nonmetal in order to study the behavior of both. In this research, the choice of elements was considered from a total of nine: four were metals, four were nonmetals, and the remaining one was metalloid.

2.1. Molecular-Weight-Based Analysis

Molecular weight is a very important parameter for the design of structured chemical compounds. The unit of molecular weight is g/mol and the molecular weight increases with the mechanical characteristics of the material. However, the mechanical property is typically unaffected over a certain limiting value of the molecular weight. Therefore, the stability is also associated with molecular weight. The firmness of the molecular structure depends on the physical, chemical, and mechanical properties, such as mechanical strength, resistance, viscosity, and melting point. In this research, the molecular weight of different chemical compounds was calculated using the computational method within Avogadro software. To determine the molecular weight, the formulated structure M4O(CO2)6 is initially framed for different chemical compounds, and the molecular weight is then calculated using a property tool. In general, molecular weight is calculated before starting the energy reduction as the molecular weight does not change while optimizing energy and remains constant in all three force fields. The molecular weight of various chemical compounds with organic carbon links configured using Avogadro software before applying any force field is shown in Figure 1, and the same is tabulated in Table 1. From Table 1, it is observed that the molecular weight of tungsten remains high, with the value of 1027.512 g mol−1, whereas boron has the least molecular weight, of 335.396 g mol−1.

2.2. Energy Minimization

When arranging chemical elements in space, energy minimization is crucial since certain chemical structures may not be advantageous from an energetic approach [30]. Energy minimization may also be known as energy reduction or energy optimization. Finding a set of coordinates that represent the minimum energy conformation for the given structure is the aim of energy reduction. When correcting structural anomalies, energy minimization is a crucial tool for locating the closest local minima [30]. Avogadro finds the most stable form and the lowest energy of the molecule by minimizing all the interactions within the molecule using advanced algorithms and applying a force field.
The optimized energy of the chemical elements in molecular mechanics is calculated using the force field concept. One of the most crucial representative parameters of a molecule’s stability is its energy in a force field. In general, the force field is used to minimize the bond stretching and angle length. In this research, energy minimization is carried out through the auto-optimize tool in Avogadro software. This tool furnishes an interactive interface among the elements in the structure, allowing it to handle elements while its molecular geometry is being optimized.
The auto-optimization settings provide several force fields options; among these, only three force fields were selected for this work, since these are applicable to non-periodic property structure modeling where atomic mass increases without variation in the structure. By clicking the auto-optimization tool, the structure built using the Avogadro software will be optimized by making changes in the bond length and its angle. Thus, while optimization occurs, the size of the compound structure is reduced. Each element occupies a site of lower potential energy within the structure, making the overall potential energy of the structure as small as possible; thus, the energy is reduced during the optimization [32]. Finally, the optimized energy value is calculated and displayed at the top-right corner of the screen. This generates a structure with greater stability, and as the optimization energy decreases, the stability of the compounds increases. At first, the structure of the compounds is modeled as shown in Figure 2, which is a before-optimization structure. The same structure of chemical compounds with an organic carbon link and joints was adapted for all the force fields. Next, an individual force field is applied to each compound; subsequently, energy reduction by means of the steepest decent algorithm is carried out, and then optimized energy is evaluated. The optimized structures of various chemical compounds with their organic carbon links and joints under various force fields are shown in Figure 3.
Here, UFF, GAFF, and Ghemical force fields are used with parameters to create molecular structures with optimization. Molecular structures considered for different compounds were optimized under these force fields. The energy values of each material differ based on the applied force field. In Avogadro software, the default algorithm for energy reduction is the steepest descent algorithm. The storage and computing needs are just two of the factors that affect the choice of minimization strategy. Whenever the initial structure is far from the minimum, conjugate gradients may not be as effective as the steepest descent approach. However, after the initial tension is eliminated, conjugate gradients perform far better. Since molecular mechanics is always used in system calculations, the steepest descents and conjugate gradients techniques are often used in this context. The step size at the beginning of the steepest descents algorithm, which is used in the majority of molecular modeling applications, has a fixed default value. After the initial iteration, if energy drops, the step size is increased for the subsequent iteration through an increasing component. The process continues until the energy level decreases with each iteration. It is presumed that the algorithm has jumped across the valley that makes up the lowest level and up the incline on the opposite face when a step results in an increase in energy. A multiplicative factor is then used to lower the step size (e.g., 0.5).
Figure 3 represents the optimized energy structure of various compounds under UFF, GAFF, and Ghemical force fields. The values of optimized energy of different compounds under the three force fields are shown in Table 2. Comparing the results of energy reduction obtained under different force fields, each provides low energy for different chemical compounds organized in the form of a graph based on the optimized value shown in Figure 4. In this research, under UFF, the lowest energy of 22.673 kJ mol−1 was delivered by the In-based compound; under GAFF, the lowest energy of 3.650 kJ mol−1 was delivered by the Si-based compound; and under the Ghemical force field, the lowest energy of 136.234 kJ mol−1 was delivered by the K-based compound. The energy details of these three top compounds under different force fields are tabulated separately in Table 3 and also indicated in the corresponding graph in Figure 5.
From the above study, we conclude that the present research work mainly concentrated on the chemical compounds that react with the organic linker and produce less energy. The lower energy value obtained will be considered as the best chemical compound for the MOF framework. With the help of the optimization, the structure is optimized through different force fields. Among these three force fields, UFF shows less energy when compared, and it is able to finalize the chemical compound for the MOF framework. In future, this work can be extended for determining the schemes of material properties of other chemicals with similar processes using Avogadro software. The work can be extended by adding more chemical compounds which can be tested. This work can also be implemented using different organic carbon linkers, and can be used to analyze the bond and angle length of different chemical compounds.
In previous research work, Zr showed the lowest optimized energy of 320 kJ/mol [40]. The present research showed that Indium has the lowest optimized energy when compared with the optimized shapes of the metals with a joint complex, i.e., Zr-based (320 kJ/mol−1) [40]. A comparison between two compounds with energy optimized in the force fields is shown in Figure 6. In this research, we added a few chemical compounds to enhance the amount of storage capacity. Through this work, we aimed to discover whether MOF particles are replaceable as dielectrics for supercapacitors and to determine the efficiency. The In-based joint showed 22.673 kJ mol−1 in UFF. We simultaneously investigated the MOF molecules’ functionality and stability, and this study was able to identify better chemical compounds that required less energy for optimization. It takes more work to stabilize the complex since the greater the functionality, the more heat (enthalpy) it can emit. We want complexity to be more stable and efficient, as well as more porous. The trade-off between utility and stability is constant.

3. Conclusions

This research examines the grade of materials with respect to energy reduction in three different force fields. That is, the stability of compounds is analyzed in the force fields with respect to energy minimization. If the energy decreases, the stability of material increases; thus, the grade also increases. Practically, because there is more energy (enthalpy), more can be provided, meaning that it requires more effort to stabilize the chemical compound. The molecular modeling, geometry optimization, and characterization of considered compounds were performed and investigated. Optimization of molecular-independent energy on a computational graph is proposed and demonstrated in this work by carrying out geometry optimization. Geometrical parameters such as bond lengths and bond angles and dihedral angles of different compounds were optimized to find the best atomic arrangement that makes the molecule more stable. Molecular structure and energy reduction in various force fields of different chemical compounds were established using Avogadro software. The optimization energy was simulated by varying the geometry of organic carbon links and the results were shown. The top chemical compounds with the lowest energy in three different force fields were the In-based joint, with 22.673 kJ mol−1 in UFF; the Si-based joint, with 33.650 kJ mol−1 in GFF; and the K-based joint, with 136.234 kJ mol−1 in Ghemical force field. Comparison results show that among the top compounds from each force field, the In structure has greater energy reduction of 22.673 kJ mol−1 in UFF when compared with the other two force fields. We could design an effective optimization protocol from this research. The impact of choosing a proper force field for optimization is discussed in this work and investigations show that UFF is suitable for optimizing the most compounds, and hence serves as the optimal choice for energy reduction. However, confusingly, the analyzed structure obtained both local minima and global minima. The molecular weights of the chemical compounds obtained using Avogadro were also analyzed. The molecular weight of W remains high, at 1027.512 kJ mol−1, whereas B has the least molecular weight, of 335.396 kJ mol−1. From the results, it was concluded that higher-molecular-weight compounds are more stable than lower-molecular-weight compounds, except W, because the combination of W with carbon will easily break the chain or bond between them. Thus, even when the molecular weight is high for W, it does not have stability. The short-term strength of W has a propensity to decrease when carbon is added, because W has a low melting point and the bond strength also does not decrease when the optimization is carried out. Thus, a high molecular weight improves the stability of all types of considered chemical compounds due to molecular interactions.

Author Contributions

Conceptualization, P.R.; methodology, R.R., S.C.K. and P.R.; software, P.R.; validation, R.R. and P.R.; formal analysis, P.R. and R.R.; investigation, R.R., S.B., S.C.K. and P.R.; resources, R.R. and P.R.; data curation, P.R.; writing—original draft preparation, P.R.; writing—review and editing, R.R., S.C.K. and P.R.; supervision, R.R., S.C.K. and S.B.; project administration, P.R. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

All data are available in the article.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Molecular weight of different compounds.
Figure 1. Molecular weight of different compounds.
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Figure 2. Structure of compounds before the energy optimization.
Figure 2. Structure of compounds before the energy optimization.
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Figure 3. Optimized structure of examined compounds with organic carbon links using (a) UFF, (b) GAFF, and (c) Ghemical force field.
Figure 3. Optimized structure of examined compounds with organic carbon links using (a) UFF, (b) GAFF, and (c) Ghemical force field.
Jcs 07 00196 g003aJcs 07 00196 g003b
Figure 4. Optimized energy of compounds in three force fields.
Figure 4. Optimized energy of compounds in three force fields.
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Figure 5. Comparison of top compounds with optimized energy in three force fields.
Figure 5. Comparison of top compounds with optimized energy in three force fields.
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Figure 6. Comparison between two compounds with optimized energy in force fields.
Figure 6. Comparison between two compounds with optimized energy in force fields.
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Table 1. Molecular weight of compounds under testing.
Table 1. Molecular weight of compounds under testing.
Name of the Element Structure of CompoundsMolecular Weight
g mol−1
ScandiumSc4O(CO2)6471.975
CalciumCa4O(CO2)6452.464
PotassiumK4O(CO2)6448.545
ChlorineCl4O(CO2)6433.964
SiliconSi4O(CO2)6408.525
AluminumAl4O(CO2)6400.078
TungstenW4O(CO2)61027.512
IndiumIn4O(CO2)6751.424
BoronB4O(CO2)6335.396
Table 2. Optimized energy of compounds under various force fields.
Table 2. Optimized energy of compounds under various force fields.
Compounds under TestOptimized Energy (kJ mol−1)
UFF GAFF Ghemical
Al4O(CO2)684.0046651.771153.093
Cl4O(CO2)62394.6269.102340.094
B4O(CO2)6233.33437.88161.813
Sc4O(CO2)657.35833.655156.806
Ca4O(CO2)6204.57336.916165.211
In4O(CO2)622.67335.396150.126
K4O(CO2)6890.68433.694136.234
Si4O(CO2)61717.1533.654156.806
Al4O(CO2)6244.68835.396150.126
Table 3. Optimized energy of top compounds in force fields.
Table 3. Optimized energy of top compounds in force fields.
Optimized Energy (kJ mol−1)
Force Fields/Top CompoundsUFFGAFFGhemical
In4O(CO2)622.67357.358890.684
Sc4O(CO2)635.395533.65533.694
Si4O(CO2)6150.126156.806136.234
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Rajendran, P.; Rathinasabapathy, R.; Chandra Kishore, S.; Bellucci, S. Computational-Simulation-Based Behavioral Analysis of Chemical Compounds. J. Compos. Sci. 2023, 7, 196. https://doi.org/10.3390/jcs7050196

AMA Style

Rajendran P, Rathinasabapathy R, Chandra Kishore S, Bellucci S. Computational-Simulation-Based Behavioral Analysis of Chemical Compounds. Journal of Composites Science. 2023; 7(5):196. https://doi.org/10.3390/jcs7050196

Chicago/Turabian Style

Rajendran, Pushpalatha, Ramadevi Rathinasabapathy, Somasundaram Chandra Kishore, and Stefano Bellucci. 2023. "Computational-Simulation-Based Behavioral Analysis of Chemical Compounds" Journal of Composites Science 7, no. 5: 196. https://doi.org/10.3390/jcs7050196

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