Successful Applications of Lie Algebraic Model to Analyze the Vibrational Spectra of Fluorobenzene

Singha, Surja Kumar; Kalyan, Ashim; Sen, Rahul; Bhattacharjee, Ramendu

doi:10.1080/10406638.2013.861497

Cited by 1 publication

(2 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To have better results, a numerical fitting procedure (in a least-square sense) is required to obtain the parameters , ′ , , and ′ starting from the values, as given by Eqs. (14), (16), and (17). The initial guess for ′ may be taken as zero.…”

Section: Resultsmentioning

confidence: 99%

“…The brief review and the research work done with the algebraic models up to the year 2000 and its outlook and perception in the first decade of the 21st century was presented by Iachello and Oss [4]. Recently, it was found that the Lie algebraic method [5][6][7][8][9][10][11][12][13][14][15][16][17] was extremely successful and accurate in calculating the vibrational frequencies of polyatomic molecules as compared with the other methods such as the Dunham expansion and the potential approach method reported earlier [4].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vibrational IR Spectra of Solid Carbon Monoxide

Choudhury

Sen²,

Sharma

2017

Ukr. J. Phys.

View full text Add to dashboard Cite

The vibrational energy levels of solid carbon monoxide are calculated, by considering a local Hamiltonian with the Morse potential with the use of the (2) algebra. Each bond of the molecule is changed by a corresponding Lie algebra, and, finally, the local Hamiltonian is constructed with the help of interacting Casimir and Majorana operators. Only the fundamental infrared stretching modes of vibration of solid carbon monoxide are then calculated, by using that Hamiltonian, and are compared with the experimental results. K e y w o r d s: vibrational spectra, Lie algebra, solid carbon monoxide.

show abstract

Section: Resultsmentioning

confidence: 99%