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Hailākāndi, India

Sen R.,Srikishan Sarda College
Polycyclic Aromatic Compounds | Year: 2015

This article investigates the stretching vibrational modes of carbon fullerenes (C24, C28, C32, and C50) by using one-dimensional U(2) algebra. Considering the molecular symmetry, the model Hamiltonian is constructed which is able to describe the fundamental “stretching modes” of the physical system with less number of algebraic parameters. The calculated energies find an excellent agreement with the theoretical data of harmonic force constant calculation. 2015 Copyright © Taylor & Francis Group, LLC Source


Choudhury A.H.,Srikishan Sarda College | Deka R.K.,Gauhati University
IMECS 2011 - International MultiConference of Engineers and Computer Scientists 2011 | Year: 2011

In this paper, we derive a highly accurate numerical method for the solution of one-dimensional wave equation with Neumann boundary conditions. This hyperbolic problem is solved by using semidiscrete approximations. The space direction is discretized by wavelet-Galerkin method and the time variable is discretized by using various classical finite difference schemes. The numerical results show that this method gives high favourable accuracy while compared with the exact solution. Source


Kalyan A.,Srikishan Sarda College | Sen R.,Srikishan Sarda College | Sarkar N.K.,Karimganj College | Bhattacharjee R.,Assam University
Fullerenes Nanotubes and Carbon Nanostructures | Year: 2013

Using the Lie algebraic method, the stretching fundamental IR active modes of vibrational energies of fullerenes C 70 are calculated in the one-dimensional U(2) framework. By constructing the model Hamiltonian with the help of Casimir and Majorana invariant operators in this framework, we calculate the fundamental stretching IR active modes of vibration of fullerene C 70 and compare the results with theoretical and experimental values to show the precision of algebraic model. © 2013 Taylor & Francis Group, LLC. Source


Sen R.,Srikishan Sarda College | Kalyan A.,Srikishan Sarda College | Sarkar N.K.,Karimganj College | Bhattacharjee R.,Assam University
Fullerenes Nanotubes and Carbon Nanostructures | Year: 2013

Molecular vibration spectra are of great significance in the study of molecular structures and characters. Here, an analytical method of Lie algebraic approach is imported into the domain of micro-scaled molecular spectra. The vibrational modes of fullerenes C50, C70 and C 80 are calculated considering the C-C bond interactions. The algebraic Hamiltonian describing vibrational spectra of polyatomic molecules has been derived by using the dynamical U(2) Lie algebra. The calculations are performed within the framework of the vibron model with fewer numbers of algebraic parameters. The calculations show a reasonable agreement with previously published calculated and experimental results. © 2013 Copyright Taylor and Francis Group, LLC. Source


Sen R.,Srikishan Sarda College | Kalyan A.,Srikishan Sarda College | Bhattacharjee R.,Assam University
Journal of Computational and Theoretical Nanoscience | Year: 2013

Using Hamiltonian based on Lie Algebraic method, the stretching vibrational IR active modes of small carbon clusters C9, C11 and C13 are calculated. The model appears to describe C-C stretching modes with less number of algebraic parameters. The dynamical symmetry group of pseudo-C2 symmetry molecules was taken into consideration to construct the model Hamiltonian in this frame work. The invariant Casimir and Majorana operators were also determined accordingly. The results obtained by algebraic model find a good agreement with self-consistent field ( SCF) model. Copyright © 2013 American Scientific Publishers All rights reserved. Source

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