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Journal ArticleDOI

Approximation methods for the calculation of force constants of a general valence force field in polyatomic molecules - a review

TLDR
A survey of the various approximation methods for the calculation of force constants in polyatomic molecules using a general valence force field model can be found in this article, where the mathematical basis of these solutions is studied in detail with a view to giving their physical properties, significance and hence the limitations in their practical application.
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This article is published in Journal of Molecular Structure.The article was published on 1975-07-01. It has received 20 citations till now. The article focuses on the topics: Polyatomic ion.

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Citations
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Journal ArticleDOI

Raman intensities of phosphate and diphosphate ions in aqueous solution

TL;DR: In this article, the Raman intensity spectra of potassium phosphate and diphosphate in aqueous solution have been measured against perchlorate solution as an external standard, and a tentative force field for P2O was calculated.
Journal ArticleDOI

Vibrational isotope shifts in hexafluoride molecules

TL;DR: In this article, a semi-empirical formula Δ v 3 (cm −1 amu −1 ) = −4.20 v 3 m −1.75, with v 3 in cm −1 and m in amu.
Journal ArticleDOI

On the evaluation of the force field of halogenated ethylenes

TL;DR: In this article, an attempt was made to calculate the force fields of ethylene and halogenated ethylenes using Redington's approach, and the mean vibrational amplitude, Coriolis coupling constants and inertia defects were also calculated.
References
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Journal ArticleDOI

Numerical methods for solving linear least squares problems

TL;DR: This paper considers stable numerical methods for handling linear least squares problems that frequently involve large quantities of data, and they are ill-conditioned by their very nature.
Journal ArticleDOI

The Vibrations of Pentatonic Tetrahedral Molecules

TL;DR: In this article, the vibrational frequencies of tetrahedral molecules with respect to the repulsive forces between the corner atoms of the type between ions of crystals or the inert gas atoms were calculated.
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Assignment of ν2 (E) and ν4 (F2) of tetrahedral species by the calculation of the relative Raman intensities: The vibrational spectra of VO43−, CrO42−, MoO42−, WO42−, MnO4−, TcO4−, ReO4−, RuO4, and OsO4

TL;DR: In this paper, a new method has been developed to assign the frequencies ν2(E) and ν4(F2) in tetrahedral molecules and ions.
Journal ArticleDOI

Verwendung einer neuer Methode zur Berechnung von Kraftkonstanten

TL;DR: In this paper, a method for the calculation of a complete set of force constants from the vibrational frequencies and the geometry of a molecule without additional data by means of a digital computer is presented.
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