Effect of the exchange interaction between O2 impurity molecules on the thermodynamic properties of cryocrystals

The spectrum of a paired O2 molecule cluster is calculated for an arbitrary relative orientation of the molecular axes and an arbitrary ratio between the exchange-interaction constant and the anisotropy factor. The resulting spectra are used to calculate the contributions of paired O2 molecule clusters to the thermodynamic characteristics (heat capacity, Grüneisen constant, thermal expansion) of solid solutions of solidified gases containing O2 as an impurity. The solutions of oxygen in cryocrystals are shown to be of interest not only from the standpoint of their anomalous thermodynamic properties but also because they can provide information about the dependence of the exchange interaction of oxygen molecules on both the intermolecular separation and the intermolecular orientations. Thermal expansion is the thermodynamic characteristic that is most sensitive to a change in the orientational structure of the clusters.

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