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The Van Der Waals Forces in Gases

The van der Waals forces in gases
Authors: Slater, John C.; Kirkwood, John G.;

The Van Der Waals Forces in Gases

Abstract

A calculation of van der Waal's potential of two atoms at large separation has been carried out for hydrogen and helium. The method depends upon a representation of the perturbed wave function of the system as $\ensuremath{\psi}={\ensuremath{\psi}}_{0} (1+vR)$ where ${\ensuremath{\psi}}_{0}$ is the unperturbed wave function, $v$ the perturbing potential and $R$ is a function of the radial coordinates of the electrons. The method is equally well adapted to the calculation of polarizabilities. A computation of the mutual energy of two hydrogen atoms confirms the results of Eisenschitz and London. The polarizability of helium is calculated as 0.210\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}24}$ cc which agrees well with the experimental value, 0.205\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}24}$. The mutual energy of two helium atoms is found to be -3.18 $\frac{{E}_{0}}{{(\frac{R}{{a}_{0}})}^{6}}$. A correlation between the mutual energy of the two molecules, $\ensuremath{\epsilon}$, and the polarizability, $\ensuremath{\alpha}$, is obtained: $\ensuremath{\epsilon}=\frac{\ensuremath{-}1.36{{\ensuremath{\nu}}_{0}}^{\frac{1}{2}}{{a}_{0}}^{\frac{3}{2}}{a}^{\frac{3}{2}}{E}_{0}}{{R}^{6}}$ where ${\ensuremath{\nu}}_{0}$ is the number of electrons in the highest quantum state in the molecule, ${E}_{0}$ the energy of the hydrogen atom in the normal state, and $R$ is the separation of the molecules. By means of this formula, the van der Waals cohesive pressure constant is calculated for Ne, A, ${\mathrm{N}}_{2}$, ${\mathrm{H}}_{2}$, ${\mathrm{O}}_{2}$, and C${\mathrm{H}}_{4}$.

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quantum theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
944
Top 1%
Top 0.01%
Top 10%
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