Algebraic Hamiltonian for Vibrational Spectra of Stibine

Chin. Phys. Lett.

2004, Vol. 21

Issue (8): 1508-1511 DOI:

Original Articles

Algebraic Hamiltonian for Vibrational Spectra of Stibine

HOU Xi-Wen

Department of Physics, Huazhong Normal University, Wuhan 430079

Cite this article:

HOU Xi-Wen 2004 Chin. Phys. Lett. 21 1508-1511

Download: PDF(198KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract An algebraic Hamiltonian, which in a limit can be reduced to an extended local mode model by Law and Duncan, is proposed to describe both stretching and bending vibrational energy levels of polyatomic molecules, where Fermi resonances between the stretches and the bends are considered. The Hamiltonian is used to study the vibrational spectra of stibine (SbH₃). A comparison with the extended local mode model is made. Results of fitting the experimental data show that the algebraic Hamiltonian reproduces the observed values better than the extended local mode model.

Keywords: 33.20.Tp 31.50.+w 03.65.Fd

Published: 01 August 2004

PACS:	33.20.Tp	(Vibrational analysis)
	31.50.+w
	03.65.Fd	(Algebraic methods)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I8/01508

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	HOU Xi-Wen

Related articles from Frontiers Journals

[1]	LIAN Jin-Ling, ZHANG Yuan-Wei, LIANG Jiu-Qing. Macroscopic Quantum States and Quantum Phase Transition in the Dicke Model[J]. Chin. Phys. Lett., 2012, 29(6): 1508-1511
[2]	Hassanabadi Hassan, Yazarloo Bentol Hoda, LU Liang-Liang. Approximate Analytical Solutions to the Generalized Pöschl–Teller Potential in D Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 1508-1511
[3]	LIN Bing-Sheng, HENG Tai-Hua . Energy Spectra of the Harmonic Oscillator in a Generalized Noncommutative Phase Space of Arbitrary Dimension**[J]. Chin. Phys. Lett., 2011, 28(7): 1508-1511
[4]	JIANG Xiu-Lan, LI Dong-Fei, SUN Cheng-Lin, LI Zhan-Long, YANG Guang, ZHOU Mi, LI Zuo-Wei, , GAO Shu-Qin . Relationship between Fermi Resonance and Solvent Effects**[J]. Chin. Phys. Lett., 2011, 28(5): 1508-1511
[5]	ZHANG Min-Cang, HUANG-FU Guo-Qing . Analytical Approximation to the ℓ-Wave Solutions of the Hulthén Potential in Tridiagonal Representation**[J]. Chin. Phys. Lett., 2011, 28(5): 1508-1511
[6]	O. Bayrak, A. Soylu, I. Boztosun . Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues**[J]. Chin. Phys. Lett., 2011, 28(4): 1508-1511
[7]	HE Ping, FAN Rong-Wei, XIA Yuan-Qin, YU Xin, YAO Yong, CHEN De-Ying, . Femtosecond Time-Resolved Resonance-Enhanced CARS of Gaseous Iodine at Room Temperature**[J]. Chin. Phys. Lett., 2011, 28(4): 1508-1511
[8]	ZHA Xin-Wei, MA Gang-Long . Classification of Four-Qubit States by Means of a Stochastic Local Operation and the Classical Communication Invariant**[J]. Chin. Phys. Lett., 2011, 28(2): 1508-1511
[9]	D. Agboola. Solutions to the Modified Pöschl-Teller Potential in D-Dimensions[J]. Chin. Phys. Lett., 2010, 27(4): 1508-1511
[10]	WANG Xue-Hong, LIU Yu-Bin. Realizing the Underlying Quantum Dynamical Algebra SU(2) in Morse Potential[J]. Chin. Phys. Lett., 2010, 27(2): 1508-1511
[11]	ZHANG Min-Cang, AN Bo . Analytical Solutions of the Manning-Rosen Potential In the Tridiagonal Program**[J]. Chin. Phys. Lett., 2010, 27(11): 1508-1511
[12]	Srinivasa Rao Karumuri. Vibrational Spectra of Distorted Structure Molecules by Using Lie Algebraic Techniques: an Application to Copper and Magnesium Octaethyl Porphyrin[J]. Chin. Phys. Lett., 2010, 27(10): 1508-1511
[13]	Srinivasa Rao KARUMURI, Joydeep CHOUDHURY, Nirmal Kumar SARKAR, Ramendu BHATTACHARJEE. Vibrational Spectroscopy of Stretching and Bending Modes of Nickel Tetraphenyl Porphyrin: an Algebraic Approach[J]. Chin. Phys. Lett., 2009, 26(9): 1508-1511
[14]	L. Krache, M. Maamache, Y. Saadi, A. Beniaiche. Generalized Coherent States of a Particle in a Time-Dependent Linear Potential[J]. Chin. Phys. Lett., 2009, 26(7): 1508-1511
[15]	Joydeep Choudhury, Nirmal Kumar Sarkar, Srinivasa Rao Karumuri, Ramendu Bhattacharjee. Vibrational Spectroscopy of CH/CD Stretches in Propadiene: An Algebraic Approach[J]. Chin. Phys. Lett., 2009, 26(2): 1508-1511

Viewed

Full text

Abstract