Abstract
The vibrational spectroscopy of the semirigid (i.e., without large-amplitude motions) polyatomic molecule is reviewed. The normal modes are defined. The importance of molecular symmetry is pointed out. The Coriolis interaction and the anharmonic resonances are discussed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bowman JM, Carrington T, Meyer H-D (2008) Variational quantum approaches for computing vibrational energies of polyatomic molecules. Mol Phys 106:2145–2182
Bunker PR, Jensen P (1998) Molecular symmetry and spectroscopy. NRC Research Press, Ottawa
Califano S (1976) Vibrational states. Wiley, New York
Császár AG, Fábri C, Szidarovszky T, Mátyus E, Furtenbacher T, Czakó G (2012) Fourth age of quantum chemistry: molecules in motion. Phys Chem Chem Phys 14:1085–1106
Demaison J, Herman M, Liévin J (2007) Anharmonic force field of cis- and trans-formic acid from high-level ab initio calculations, and analysis of resonance polyads. J Chem Phys 126:164305
Herman M, Liévin J, Vander Auwera J, Campague A (1999) Advances in chemical physics: global and accurate vibration Hamiltonians from high-resolution molecular spectroscopy, vol 108. Wiley, Hoboken, NJ
Jahn HA (1939) Note on the Coriolis coupling terms in polyatomic molecules. Phys Rev 56:680–683
Lahaye J-G, Vandenhaute R, Fayt A (1987) CO2 laser saturation Stark spectra and global rovibrational analysis of the main isotopic species of carbonyl sulfide (OC34S, O13CS, and 18OCS). J Mol Spectrosc 123:48–83
Morino Y, Saito S (1966) Microwave spectrum of oxygen difluoride in vibrationally excited states; ν1 − 2ν2 Fermi resonance. J Mol Spectrosc 19:435–453
Papousek D, Aliev MR (1982) Molecular vibrational-rotational spectra. Elsevier, Amsterdam
Perrin A, Demaison J, Flaud J-M, Lafferty WJ, Sarka K (2011) Spectroscopy of polyatomic molecules: determination of the rotational constants. In: Demaison J, Boggs JE, Császár AG (eds) Equilibrium molecular structures. CRC Press, Boca Raton, pp 89–124
Quack M, Merkt FJ (eds) (2011) Handbook of high resolution spectroscopy. Wiley, New York
Taubmann G, Jones H, Rudolph HD, Takami M (1986) Diode laser spectroscopy of the ν1/2ν2 Fermi diad of OF2. J Mol Spectrosc 120:90–100
Tennyson J (2016) Perspective: accurate ro-vibrational calculations on small molecules. J Chem Phys 145:120901
Wilson EB, Decius JC, Cross PC (1955) Molecular vibrations: the theory of infrared and Raman vibrational spectra. McGraw Hill, New York
Winnewisser BP, Watson JKG (2001) The A matrix in molecular vibration–rotation theory. J Mol Spectrosc 205:227–231
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Demaison, J., Vogt, N. (2020). The Vibrations of Polyatomic Molecules. In: Accurate Structure Determination of Free Molecules. Lecture Notes in Chemistry, vol 105. Springer, Cham. https://doi.org/10.1007/978-3-030-60492-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-60492-9_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-60491-2
Online ISBN: 978-3-030-60492-9
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)