Handbook of Vibrational Spectroscopy 2001
DOI: 10.1002/0470027320.s4204
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Calculation of Vibrational Frequencies by Molecular Mechanics

Abstract: The molecular mechanics (MM) method is a purely classical ball‐and‐spring model as opposed to the quantum chemical computational methods. The MM energy is formed as a sum of terms based on parameters such as the stiffness and equilibrium value of the chemical bonds, bond angles, torsions etc. Therefore, the success of the MM method depends on the flexibility of the parameterization or the force field. The basic principles of the MM method and a few examples of the available force fields are presented. The MM m… Show more

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Cited by 2 publications
(3 citation statements)
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“…Band position: Molecular mechanics tells us that the band position (in units of cm −1 or in vibration frequency) of a given vibrational mode is proportional to the restoring force of any stretching or bending M-O bond motion, or more specifically to the square root of the spring constant of the corresponding bond configuration (Hotokka, 2006). Therefore, band position gauges the propensity of the vibrating atoms (i.e., the oxygens in LiMO 2 ) to remain in their equilibrium position.…”
Section: Discussionmentioning
confidence: 99%
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“…Band position: Molecular mechanics tells us that the band position (in units of cm −1 or in vibration frequency) of a given vibrational mode is proportional to the restoring force of any stretching or bending M-O bond motion, or more specifically to the square root of the spring constant of the corresponding bond configuration (Hotokka, 2006). Therefore, band position gauges the propensity of the vibrating atoms (i.e., the oxygens in LiMO 2 ) to remain in their equilibrium position.…”
Section: Discussionmentioning
confidence: 99%
“…Although factor group analysis provides the expected number of Raman active vibrations and an approximate picture of the corresponding atomic displacements (Fateley et al, 1971), the prediction of band frequencies requires an explicit modeling of classical or quantum mechanical atomic interactions (i.e. bonding) (Hotokka, 2006;Matsuura and Yoshida, 2006). Electronic structure calculations are equally important to describe the band intensities, which depend on the effect that the atomic displacements have on the dielectric properties of the lattice (Keresztury, 2006;Maschio et al, 2013).…”
Section: Discussionmentioning
confidence: 99%
“…MM can simply be viewed as a ball-and-spring model of atoms and molecules with classical forces between them. 40 Such forces are accounted by potential energy functions with respect to such structural features as bond length, bond angles, and torsional angles. Potential energy functions are equipped with parameters designed to reproduce experimental properties.…”
Section: Computer-aided Drug-design (Cadd) Approachesmentioning
confidence: 99%