Quantum Calculation of the Sensitivity of Diffusion, Viscosity, and Scattering Experiments to the Intermolecular Potential
- 1 February 1964
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 40 (3) , 654-661
- https://doi.org/10.1063/1.1725185
Abstract
Correlations between the form of the intermolecular potential as a function of distance and the quantum mechanical phase shifts as functions of the angular momentum quantum number have served as the basis for estimates of the sensitivity of viscosity, diffusion, and low‐energy scattering experiments to the attractive and repulsive portions of the intermolecular potential. The sensitivities of the experimental techniques are approximately as follows: repulsive portion of the potential, diffusion>viscosity>scattering; to the attractive region of the potential, scattering>viscosity=diffusion. Quantum diffusion and viscosity cross sections for the Lennard‐Jones potential have been calculated as functions of the reduced kinetic energy, K=μv2/2ε, and for decreasing values of the quantum parameter λ=h/σ(mε)½. The cross sections for systems with λ corresponding to T2, Ne, and CH4 are equal to the classical cross sections for K>1.2. At lower K's the deviations from classical behavior become larger as λ increases.Keywords
This publication has 18 references indexed in Scilit:
- Mass Spectrometric Measurement of Diffusion CoefficientsThe Journal of Chemical Physics, 1964
- Interaction Potentials from the Velocity Dependence of Total Atom-Atom Scattering Cross SectionsPhysical Review B, 1963
- Validity of the WKB Approximation in the Interpretation of Molecular Beam Scattering DataThe Journal of Chemical Physics, 1963
- Wide-Angle Scattering in Molecular Beams. The Rainbow EffectThe Journal of Chemical Physics, 1962
- Velocity Dependence of the Differential Cross Sections for the Scattering of Atomic Beams of K and Cs by HgThe Journal of Chemical Physics, 1962
- Extrema in Velocity Dependence of Total Elastic Cross Sections for Atomic Beam Scattering: Relation to Di-atom Bound StatesThe Journal of Chemical Physics, 1962
- Evaluation of the Intermolecular Potential Well Depth from Observations of Rainbow Scattering: Cs–Hg and K–HgThe Journal of Chemical Physics, 1962
- Quantum Mechanical (Phase Shift) Analysis of Differential Elastic Scattering of Molecular BeamsThe Journal of Chemical Physics, 1960
- The viscosity of gaseous 3He at low temperaturesPhysica, 1951
- The Transport Properties for Non-Polar GasesThe Journal of Chemical Physics, 1948