A Comparative Study of Elastic Constants and Eigenvalues ofStiffness Matrices among Liquid Crystalline Compounds 4,4'-di-3-alkyl azoxybenzene and 4,4'-di-4-alkyl azoxybenzene
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https://doi.org/10.14419/xgeqdj77
Received date: November 21, 2025
Accepted date: February 8, 2026
Published date: February 25, 2026
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Liquid Crystalline Compounds; Liquid Crystal Displays; Elastic Constants; Eigenvalues; GULP;ELATE. -
Abstract
This study investigates the elastic stiffness constants, elastic moduli and eigen values of the stiffness matrix of nematic liquid crystalline compounds 4,4'-di-3-alkyl azoxybenzene and 4,4'-di-4-alkyl azoxybenzene using two different computational processes, viz.,General Utility Lattice Program (GULP) and the ELATE Program from reported experimental data of cell parameters. The study also attempts to predict the liquid crystal structure in terms of elastic constants. Elastic constats determine the thermal stability, stiffness and degree of molecular order, which determines the range of temperature of the liquid crystalline phase. This study included the comparison of different physical parameters of the above compounds and also made an attempt to understand the reason why 4,4'-di-3-alkyl azoxybenzene exhibits the mesophase for a wider range of temperature(42°C)than smaller mesophase range of temperature(9°C)in 4,4'-di-4-alkyl azoxybenzene. The two dimensional representation of the variation of elastic moduli of the above compounds, which explore the stability of crystals are also discussed. The study revealed that the elastic stiffness constants, elastic moduli, anisotropy of elastic moduli and eigen values of the stiffness matrix of liquid crystalline compound 4,4'-di-3-alkyl azoxybenzene are more than those of 4,4'-di-4-alkyl azoxybenzene. The two dimensional variation of Young’s modulus, shear modulus and Poisson’s ratio in xy-plane, xz-plane and yz-plane is more in 4,4'-di-3-alkyl azoxybenzene compared tothat in 4,4'-di-4-alkyl azoxybenzene. Interestingly, the linear compressibility of compound 4,4'-di-4-alkyl azoxybenzene in xy-plane ,xz-plane and yz-plane is more compared to linear compressibility of compound 4,4'-di-3-alkyl azoxybenzene. The higher value of elastic moduli and eigenvalues of the stiffness matrix in 4,4'-di-3-alkyl azoxybenzene indicates that the intermolecular force is stronger and resists reorientation more, which may stabilize the nematic phase for a wider range of temperature(temperature range of 42°C) compared to that in 4,4'-di-4-alkyl azoxybenzene (temperature range of 9°C). Poisson’s ratio of 4,4'-di-3-alkyl azoxybenzene is negative, which specifically for display devices, can contribute to improved flexibility, responsiveness and better display.
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How to Cite
Parashivamurthy, S., V., N., D.K., R., Kandigowda , J. ., & Thimmaiah , A. H. . (2026). A Comparative Study of Elastic Constants and Eigenvalues ofStiffness Matrices among Liquid Crystalline Compounds 4,4’-di-3-alkyl azoxybenzene and 4,4’-di-4-alkyl azoxybenzene. International Journal of Basic and Applied Sciences, 15(2), 31-37. https://doi.org/10.14419/xgeqdj77
