This work presents theoretical investigations into the electro-optical response of an aroylhydrazone liquid crystal (LC) N-[2-Hydroxy-4-dodecylidene]-N′-[4′-dodecyloxybenzoyl]hydrazine (2HDDH) under the influence of terahertz (THz) range electric fields, a regime rarely explored for this class of materials. While previous studies on LC molecules have predominantly focused on static or low-frequency fields, the effect of high-frequency (THz) electric fields on their electro-optical properties remains largely unexplored, limiting the understanding of their potential in next-generation photonic and optoelectronic technologies. Using a theoretical framework originally developed for organic compounds and extended here to THz device contexts, we computed order parameter, birefringence, director angle, vertical electronic transitions, frontier molecular orbitals (HOMO–LUMO), and molecular electrostatic potential (MEP) surfaces. The finite field approach was employed to evaluate order parameter, birefringence, and magic angle, while DFT and TD-DFT calculations revealed high anisotropic polarizability (Δα = 466.45 Bohr³), a moderate dipole moment (μ = 5.67 D), and strong UV absorption. These results identify 2HDDH as a thermally stable, electro-optically active material with significant promise for THz-frequency optoelectronic applications, including advanced displays, sensors, and OLEDs.
De Gennes, P.G. and Prost, J., 1993. The physics of liquid crystals(No. 83). Oxford University Press.
Klingbiel, R.T., Genova, D.J., Criswell, T.R. and Van Meter, J.P., 1974. Comparison of the dielectric behavior of several Schiff-base and phenyl benzoate liquid crystals. Journal of the American Chemical Society, 96(25), pp.7651-7655.
Mandal, P., Mitra, M., Bhattacharjee, K., Paul, R. and Paul, S., 1987. Nematic order of APAPA from X-ray diffraction and optical studies. Molecular Crystals and Liquid Crystals, 149(1), pp.203-210.
Korkmaz, B., Canli, N.Y., Özdemir, Z.G., Okutan, M., Gursel, Y.H., Sarac, A. and Şenkal, B.F., 2016. Synthesis and electrical properties of hydrogen-bonded liquid crystal polymer. Journal of Molecular Liquids, 219, pp.1030-1035.
Guan, L. and Zhao, Y., 2001. Self-assembled gels of liquid crystals: hydrogen-bonded aggregates formed in various liquid crystalline textures. Journal of Materials Chemistry, 11(5), pp.1339-1344.
Muthukumar, M., Ober, C.K. and Thomas, E.L., 1997. Competing interactions and levels of ordering in self-organizing polymeric materials. Science, 277(5330), pp.1225-1232.
Vikram, K., Singh, R.K. and Gupta, S.N., 2018. A new low-temperature solid modification in 1-isothiocyanato-4-(trans‑4-propylcyclohexyl) benzene (3CHBT) probed by Raman spectroscopy and quantum chemical calculations. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 190, pp.188-196.
Vikram, K., Tarcea, N., Popp, J. and Singh, R.K., 2010. Temperature-dependent Raman study of the smectic to nematic phase transition and vibrational analysis using density functional theory of the liquid crystalline system 4-decyloxy benzoic acid. Applied spectroscopy, 64(2), pp.187-194.
Takanishi, Y., Takezoe, H., Watanabe, J., Takahashi, Y. and Iida, A., 2006. Intralayer molecular orientation in the B1 phase of a prototype bent-core molecule P-6-O-PIMB studied by X-ray microbeam diffraction. Journal of Materials Chemistry, 16(9), pp.816-818.
Achten, R., Cuypers, R., Giesbers, M., Koudijs, A., Marcelis, A.T. and Sudhölter, E.J., 2004. Asymmetric banana-shaped liquid crystals with two different terminal alkoxy chains. Liquid crystals, 31(8), pp.1167-1174.
Kagatikar, S. and Sunil, D., 2021. Schiff bases and their complexes in organic light-emitting diode application. Journal of Electronic Materials, 50(12), pp.6708-6723.
Mohan, M., Pangannaya, S., Satyanarayan, M.N. and Trivedi, D.R., 2018. Photophysical and electrochemical properties of organic molecules: Solvatochromic effect and DFT studies. Optical Materials, 77, pp.211-220.
Singh, H.K., Singh, S.K., Nandi, R., Rao, D.S., Prasad, S.K., Singh, R.K. and Singh, B., 2016. Observation of exceptional ‘de Vries-like in a conventional aroylhydrazone based liquid crystal. RSC Advances, 6(63), pp.57799-57802.
Shanker, G., Prehm, M., Yelamaggad, C.V. and Tschierske, C., 2011. Benzylidenehydrazine-based room temperature columnar liquid crystals. Journal of Materials Chemistry, 21(14), pp.5307-5311.
Kanth, P., Rao, D.S., Prasad, S.K. and Singh, B., 2022. Investigation of mesomorphic, photophysical, and gelation behavior in aroylhydrazone-based liquid crystals: Observation of mesophase crossover phenomena. Journal of Molecular Liquids, 346, pp.117084.
Singh, S.K., Kumar, V., Nandi, R., Singh, H.K., Singh, R.K. and Singh, B., 2015. Microwave-assisted synthesis and mesomorphic investigations of p-substituted aroylhydrazones and their nickel (II) and copper (II) complexes. Liquid Crystals, 42(2), pp.222-232.
Singh, H.K., Pradhan, B., Singh, S.K., Nandi, R., Rao, D.S.S., Prasad, S.K., Achalkumar, A.S. and Singh, B., 2018. Substituted Aroylhydrazone Based Polycatenars: Tuning of Liquid Crystalline Self‐Assembly. Chemistry Select, 3(14), pp.4027-4037.
Balamurugan, S., Kannan, P., Yadupati, K. and Roy, A., 2011. Electro-optical switching studies on 1, 3-phenylene based banana shaped liquid crystals. Journal of Molecular Structure, 1001(1-3), pp.118-124.
Balamurugan, S., Kannan, P., Yadupati, K. and Roy, A., 2011. Electro-optical investigations and effect of asymmetry in bent-core liquid crystals. Liquid Crystals, 38(9), pp.1199-1207.
Sarna, R.K., Bhide, V.G. and Bahadur, B., 1982. Refractive indices, density and order parameter of some liquid crystals. Molecular Crystals and Liquid Crystals, 88(1-4), pp.65-79.
Ferrarini, A., Moro, G.J. and Nordio, P.L., 1996. Shape model for ordering properties of molecular dopants inducing chiral mesophases. Molecular Physics, 87(2), pp.485-499.
Kushwaha, Y., Singh, S.K. and Yadava, U., 2024. Insights into the electronic structure and interaction energies of 4-ethoxy-N-(4-ethoxy-2-hydoxybenzylidene) benzohydrazide. Journal of Molecular Liquids, 409, p.125400.
Tripathi, S., Ganguly, P., Haranath, D., Haase, W. and Biradar, A.M., 2013. Optical response of ferroelectric liquid crystals doped with metal nanoparticles. Applied Physics Letters, 102(6).
Jakeman, E. and Raynes, E.P., 1972. Electro-optic response times in liquid crystals. Physics Letters A, 39(1), pp.69-70.
Praveen, P.L., Ojha, D.P., 2012. Structure and electronic absorption spectra of nematogenic alkoxy cinnamic acids–a comparative study based on semiempirical and DFT methods. Journal of Molecular Modeling18, pp.1513–1521.
Koch, W. and Holthausen, M.C., 2015. A chemist's guide to density functional theory. John Wiley & Sons.
Wu, Y., Zhou, Y., Yin, L., Zou, G. and Zhang, Q., 2013. Photoinduced liquid crystal blue phase by bent-shaped cis isomer of the azobenzene doped in chiral nematic liquid crystal. Liquid Crystals, 40(6), pp.726-733.
GaussView, V.6.1, 2016, Roy Dennington, Todd A. Keith, and John M. Millam, Semichem Inc., Shawnee Mission, KS, 201.
Pandey, A. and Kumar, N., 2023. Tracing the transition from covalent to non-covalent functionalization of pyrene through C-, N-, and O-based ionic and radical substrates using quantum mechanical calculations. RSC Advances, 13(21), pp.14119-14130.
Yadava, U., Gupta, D.K. and Roychoudhury, M., 2010. Theoretical investigations on molecular structure and IR frequencies of 4-n-nonyl-4′-cyanobiphenyl in light of experimental results. Journal of Molecular Liquids, 156(2-3), pp.187-190.
Kumar, N., Pal, B., Chaudhary, S., Singh, D. and Kumar, D., 2020. Reduced graphene oxide contains a minimum of six oxygen atoms for higher dipolar strength: A DFT study. French-Ukrainian Journal of Chemistry, 8(1), pp.167-173.
Antony, J. and Grimme, S., 2006. Density functional theory including dispersion corrections for intermolecular interactions in a large benchmark set of biologically relevant molecules. Physical Chemistry Chemical Physics, 8(45), pp.5287-5293.
Kumar, N., Singh, P., Chaudhary, S., Thapa, K.B., Upadhyay, P., Dwivedi, A.K. and Kumar, D., 2020. Spectroscopy Existing behind the Electro-Optical Properties with an Even-Odd Effect of nCB Liquid Crystal Molecules: A Theoretical Approach. Acta Physica Polonica A, 137(6), pp.1135-1140.
Kumar, N., Singh, P., Thapa, K.B. and Kumar, D., 2020. Molecular spectroscopy and adverse optical properties of N-(p-hexyloxy-benzylidene)–p-toluidine (HBT) liquid crystal molecule studied by DFT methodology. IOP SciNotes, 1(1), p.015202.
Kumar, N., Chaudhary, S., Singh, P., Thapa, K.B. and Kumar, D., 2020. Electro-optical odd-even effect of APAPA liquid crystal molecules studied under the influence of an extraneous electric field (THz): A theoretical approach. Journal of Molecular Liquids, 318, p.114254.
Parr, R.G., 1989. Density functional theory of atoms and molecules. In Horizons of Quantum Chemistry: Proceedings of the Third International Congress of Quantum Chemistry Held at Kyoto, Japan, October 29-November 3, 1979(pp. 5-15). Dordrecht: Springer Netherlands.
Ridley, J. and Zerner, M., 1973. An intermediate neglect of differential overlap technique for spectroscopy: Pyrrole and the azines. Theoretica chimica acta, 32(2), pp.111-134.
Parr, R.G. and Pearson, R.G., 1983. Absolute hardness: a companion parameter to absolute electronegativity. Journal of the American Chemical Society, 105(26), pp.7512-7516.
Parr, R.G., Szentpály, L.V. and Liu, S., 1999. Electrophilicity index. Journal of the American Chemical Society, 121(9), pp.1922-1924.
Kushwaha, Y. and Yadava, U., 2025. DFT investigation on the effect of asymmetry on electro-optical properties of bent-core liquid crystals. Phase Transitions, 98(1), pp.55-71.
Helfrich, W., 1970. Effect of electric fields on the temperature of phase transitions of liquid crystals. Physical Review Letters, 24(5), p.201.
Raynes, P., 1993. LIQUID CRYSTALS — Second Edition, by S CHANDRASEKHAR, Cambridge University Press, (1992), ISBN 0-521-41747-3 (HB), ISBN 0-521-42741-X (PB). Liquid Crystals Today, 3(3), 7.
Collings, P.J. and Goodby, J.W., 2019. Introduction to liquid crystals: chemistry and physics. CRC Press.
Parr, R.G., Gadre, S.R. and Bartolotti, L.J., 1979. Local density functional theory of atoms and molecules. Proceedings of the National Academy of Sciences, 76(6), pp.2522-2526.
Kushwaha,Y , Pandey,S bratt, Singh,S Kumar and Yadava,U . (2026). DFT Investigation of Electro-Optical Properties of a Novel Liquid Crystal Molecule Under Extraneous Electric Field (THz). Progress in Physics of Applied Materials, 6(1), 35-42. doi: 10.22075/ppam.2025.38335.1156
MLA
Kushwaha,Y , , Pandey,S bratt, , Singh,S Kumar, and Yadava,U . "DFT Investigation of Electro-Optical Properties of a Novel Liquid Crystal Molecule Under Extraneous Electric Field (THz)", Progress in Physics of Applied Materials, 6, 1, 2026, 35-42. doi: 10.22075/ppam.2025.38335.1156
HARVARD
Kushwaha Y, Pandey S bratt, Singh S Kumar, Yadava U. (2026). 'DFT Investigation of Electro-Optical Properties of a Novel Liquid Crystal Molecule Under Extraneous Electric Field (THz)', Progress in Physics of Applied Materials, 6(1), pp. 35-42. doi: 10.22075/ppam.2025.38335.1156
CHICAGO
Y Kushwaha, S bratt Pandey, S Kumar Singh and U Yadava, "DFT Investigation of Electro-Optical Properties of a Novel Liquid Crystal Molecule Under Extraneous Electric Field (THz)," Progress in Physics of Applied Materials, 6 1 (2026): 35-42, doi: 10.22075/ppam.2025.38335.1156
VANCOUVER
Kushwaha Y, Pandey S bratt, Singh S Kumar, Yadava U. DFT Investigation of Electro-Optical Properties of a Novel Liquid Crystal Molecule Under Extraneous Electric Field (THz). Progress in Physics of Applied Materials. 2026;6(1):35-42. doi: 10.22075/ppam.2025.38335.1156