Abstract:
Expressions for calculating the matrix elements of the Coulomb interaction of $f$ electrons of the isolated ion with an infinite crystal lattice have been obtained. The contribution of this interaction to the parameters of the crystal field in impurity centers Yb$^{3+}$ : KZnF$_3$, CsCaF$_3$, and Sm$^{3+}$ : CaF$_2$ has been calculated.