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Unformatted text preview: CHEM 350 Lecture 6, January 15, 2010 Relation between B 2 ( T ) and intermolecular interactions. We shall consider only the simplest case: that of a gas of filledshell [or 1 S state] atoms, such as He, Ne, Ar. If V ( R ) is the potential energy (energy of interaction) between two such atoms, then B 2 ( T ) is given by B 2 ( T ) =- 2 N Z ( e- V ( R ) /k B T- 1 ) R 2 dR , a result obtained from statistical mechanics. if V ( R ) 0, then B 2 ( T ) = 0 for all temperatures, and the gas is an ideal gas; for simple systems, V ( R ) can be obtained quite accurately from quantum chemical cal- culations, but for more complicated systems, its determination is still an active area of research in chemical physics (or molecular physics); experimentally, V ( R ) is determined from measurements of B 2 ( T ), transport coefficients, and spectroscopy; typical behaviour of V ( R ) at long range (i.e., R very large): V ( R ) can be shown from perturbation theory calculations to behave at large distances as...
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