Abstract
A convergence study of intensities of transitions from vibrational ground state to the lower lying states is done with respect to the rank of the dipole moment surface (DMS) in the Taylor series expansion of the DMS. The relative roles of the mechanical and electrical anharmonicity are analyzed in the calculation of the intensities of vibrational transitions from ground state. We find that at least a quadratic expansion of the dipole moment functional is necessary to predict the intensities of vibrational transitions. The mechanical anharmonicity becomes important when the resonances between the vibrational states are significant.
Similar content being viewed by others
References
Lenhmann KK, Smith AM (1990) J Chem Phys 93:6140
McCoy AB, Sibert EL (1991) J Chem Phys 95:3488
McCoy AB, Guasco TL, Leavitt CM, Olesen SG, Johnson MA (2012) Phys Chem Chem Phys 14:7205
Aoyagi M, Gray SK (1991) J Chem Phys 94:195
Barone V (2004) J Chem Phys 120:3059
Hansen MB, Christiansen O, Toffoli D, Kongsted J (2008) J Chem Phys 128:174106
Liu A, Hu S, Zhu Q (2005) J Chem Phys 123:174305
Carney DC, Sprandel LL, Kern CW (1978) Adv Chem Phys 37:305
Bowman JM (1978) J Chem Phys 68:608
Bowman JM (1986) J Chem Phys 19:202
Christoffel KM, Bowman JM (1982) Chem Phys Lett 85:220
Carter S, Handy NC (1986) Comput Phys Rep 5:117
Carter S, Meyer W (1990) J Chem Phys 93:8902
Culot F, Liévin J (1994) Theor Chim Acta 89:227
Culot F, Laruelle F, Liévin J (1995) Theor Chim Acta 92:221
Heislbetz S, Rauhut G (2010) J Chem Phys 132:124102
Jung JO, Gerber RB (1996) J Chem Phys 105:10332
Chaban G, Jung JO, Gerber RB (1999) J Chem Phys 111:1823
Matsunaga N, Chaban GM, Gerber RB (2002) J Chem Phys 117:3541
Yagi K, Hirata S, Hirao K (2008) Phys Chem Chem Phys 10:1781
Sibert EL (1988) J Chem Phys 88:4378
McCoy AB, Sibert EL (1990) J Chem Phys 92:1893
McCoy AB, Sibert EL (1991) J Chem Phys 95:3476
Nagalakshmi V, Lakshminarayana V, Sumithra G, Durga Prasad M (1994) Chem Phys Lett 217:279
Durga Prasad M (2000) Indian J Chem 39:196
Banik S, Pal S, Durga Prasad M (2008) J Chem Phys 129:134111
Banik S, Pal S, Durga Prasad M (2010) J Chem Theor Comput 6:3198
Christiansen O (2004) J Chem Phys 120:2149
Seidler P, Christiansen O (2009) J Chem Phys 131:234109
Durga Prasad M (1994) Theor Chim Acta 88:283
Green WH, Willetts A, Jayatilaka D, Handy NC (1990) Chem Phys Lett 169:127
Willets A, Handy NC, Green WH, Jayatilaka D (1990) J Phys Chem 94:5608
Rothman LS, Gamache RR, Goldman A, Brown LR, Toth RA, Picket HM, Poynter RL, Flaud JM, Camy-Peyret C, Barbe N, Husson N, Rinsland CP, Smith MAH (1987) Appl Optics 26:1045
Reisner RA, Field RW, Kinsey JL, Dai HL (1984) J Chem Phys 80:5968
Acknowledgments
SB acknowledges the Dr. D. S. Kothari postdoctoral fellowship from UGC, India. MDP acknowledges support from UGC, India, in the form of CAS to the School of Chemistry, UPE to the University of Hyderabad and DST, India, for HPCF facility at the University of Hyderabad.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Banik, S., Durga Prasad, M. On the spectral intensities of vibrational transitions in polyatomic molecules: role of electrical and mechanical anharmonicities. Theor Chem Acc 131, 1282 (2012). https://doi.org/10.1007/s00214-012-1282-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00214-012-1282-z