Recovery of the potential of interaction between helium atoms and fluorine ions using the data on interstitial diffusion and solubility of helium in fluorides of alkaline-earth metals

The method is treated of determining "static" pair potentials of interaction between neutral gas atoms and ions, recovered by the interaction energies of particles located at fixed distances from one another, using data on the activation energy of diffusion and dissolution of gas in ionic crystals. The results of investigation of the diffusion and solubility of helium in fluorides of alkaline-earth metals at distances in the range from $0.175$ to $0.275$ nm are used to recover the interaction potential in the $\mathrm{He}$–$\mathrm{F}^-$-system, $U[\mathrm{He}-\mathrm{F}^-]=(90\pm15)ехр\{-(28.5-1.5)r\}$ eV. A comparison is made with the experimental and theoretical data of other authors.