Even–odd effect of the homologous series of nCHBT liquid crystal molecules under the influence of an electric field: A theoretical approach

Kumar, Niraj; Chaudhary, Sandeep; Upadhyay, Priti; Dwivedi, Arvind Kumar; Kumar, Devesh

doi:10.1007/s12043-020-01967-0

Cited by 11 publications

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The M06-2X method omits higher values as compared to B3LYP since it considers non-bonded interactions; in the case of B3LYP, it includes van der Waals forces and hydrogen bond interactions while performing calculations. 56 From Fig. 5(a-c) it is clear that birefringence increases with an increase in the electric field as stated by X. Zhou et al 57 Narinder Kumar et al 58 also reported the behaviour of a liquid crystal molecule when it was subjected to an external electric field, wherein the birefringence of the HBT liquid crystal increases with the increase in the value of an external electric field and the same trend was also found in the reported study.…”

Section: Birefringencesupporting

confidence: 79%

See 1 more Smart Citation

Quantum mechanical studies of p-azoxyanisole and identification of its electro-optic activity

Kumar

Mishra

Kumar

et al. 2023

Phys. Chem. Chem. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Birefringencesupporting

confidence: 79%

Section: Resultsmentioning

confidence: 99%

Quantum mechanical studies of p-azoxyanisole and identification of its electro-optic activity

Kumar

Mishra

Kumar

et al. 2023

Phys. Chem. Chem. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

Electronic and electro-optical properties of 5CB and 5CT liquid crystal molecules: A comparative DFT study

Sharma

Tiwari

2021

Pramana - J Phys

View full text Add to dashboard Cite

Exact closed-form solutions and dynamics of solitons for a $$(2+1)$$-dimensional universal hierarchy equation via Lie approach

Kumar

Niwas

2021

Pramana - J Phys

View full text Add to dashboard Cite

The dynamics of localised solitary wave solutions play an essential role in the fields of mathematical sciences such as optical physics, plasma physics, nonlinear dynamics and many others. The prime objective of this study is to obtain localised solitary wave solutions and exact closed-form solutions of the (2 + 1)-dimensional universal hierarchy equation (UHE) using the Lie symmetry approach. Besides, the Lie infinitesimals, all the vector fields, commutation relations of Lie algebra and symmetry reductions are derived via the Lie transformation method. Meanwhile, the universal hierarchy equation is reduced into nonlinear ODEs through two stages of symmetry reductions. The closed-form invariant solutions are attained under some parametric conditions imposed on infinitesimal generators. Because of the presence of arbitrary independent functional parameters and other constants, these group-invariant solutions are explicitly displayed in terms of arbitrary functions that are more relevant, beneficial and useful for explaining nonlinear complex physical phenomena. Furthermore, the dynamical structures of the obtained exact solutions are illustrated for suitable values of arbitrary constants through 3D-plots based on numerical simulation. Some of these localised solitary waves are double solitons, periodic lump solitons, dark solitons, five-solitons, hemispherical solitons and lump-type solitons.

show abstract

Even–odd effect of the homologous series of nCHBT liquid crystal molecules under the influence of an electric field: A theoretical approach

Cited by 11 publications

References 28 publications

Quantum mechanical studies of p-azoxyanisole and identification of its electro-optic activity

Quantum mechanical studies of p-azoxyanisole and identification of its electro-optic activity

Electronic and electro-optical properties of 5CB and 5CT liquid crystal molecules: A comparative DFT study

Exact closed-form solutions and dynamics of solitons for a $$(2+1)$$-dimensional universal hierarchy equation via Lie approach

Contact Info

Product

Resources

About