1998
DOI: 10.1021/jp9730656
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Molecular Force Measurement in Liquids and Solids Using Vibrational Spectroscopy

Abstract: Shifts in molecular vibrational frequencies are used to measure intermolecular forces in liquids and solids as a function of external pressure. The force along a particular bond within a molecule is derived from its measured vibrational frequency shift using an expression for the perturbation of a quantum anharmonic oscillator in a classical bath. New pressure induced frequency shift and force measurements are performed on the CC bond in 1-octene, trans-2-octene and trans-4-octene (in both pure liquids and me… Show more

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Cited by 20 publications
(36 citation statements)
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“…10 The density dependence of the empirically determined attractive shift is essentially linear over the entire density range studied, in accord with the predictions of the simplest mean-field treatment, but not with other experiments and extensions of the theory, which would lead one to expect a higher order dependence at the higher densities. 5,6,17,26 A comparison of the equatorial and axial attractive shifts shows that the shift also scales with the polarizability derivative as predicted, at least when differences between equatorial and axial CH stretching are properly accounted for in the repulsive shift calculation. However, the theoretically predicted attractive shifts are a factor of 2 smaller than the empirical ones, consistent with what was found for cyclohexane-d 11 in liquid solvents.…”
Section: Discussionmentioning
confidence: 56%
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“…10 The density dependence of the empirically determined attractive shift is essentially linear over the entire density range studied, in accord with the predictions of the simplest mean-field treatment, but not with other experiments and extensions of the theory, which would lead one to expect a higher order dependence at the higher densities. 5,6,17,26 A comparison of the equatorial and axial attractive shifts shows that the shift also scales with the polarizability derivative as predicted, at least when differences between equatorial and axial CH stretching are properly accounted for in the repulsive shift calculation. However, the theoretically predicted attractive shifts are a factor of 2 smaller than the empirical ones, consistent with what was found for cyclohexane-d 11 in liquid solvents.…”
Section: Discussionmentioning
confidence: 56%
“…For the liquid solvents with reduced density s s 3 Ϸ1, this treatment reduced the ratio of empirical to theoretical A ␣ values from about four to two, i.e., to roughly the same level of agreement obtained here for CO 2 at reduced densities р0. 6.…”
Section: B Frequency Shiftsmentioning
confidence: 99%
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“…The force along a dangling OH bond was estimated by using the following expression for the solvent mean force along a pseudodiatomic bond (28,29,36,37): F Ϸ [Ϫ2f 2 /(3g)](⌬/). The ratio ⌬/ represents the frequency shift of the dangling OH relative to that at the air-water interface, whereas f Ϸ 918 nN/nm and g Ϸ Ϫ19,600 nN/nm 2 are the harmonic and anharmonic force constants, respectively, of a localized (isolated) OH stretching vibration.…”
Section: Methodsmentioning
confidence: 99%