The spin-reorientation transition temperatures ${\mathit{T}}_{\mathrm{SR}}$ in some R${\mathrm{Fe}}_{10}$${\mathit{T}}_{2}$ intermetallic compounds (T=Si or V) have been determined from an analysis of the temperature dependence of the M\ossbauer spectra and thermomagnetic measurements. These results were used for estimating the crystalline-electric-field coefficients ${\mathit{A}}_{\mathit{n}\mathit{m}}$. The preferential-site-occupation probabilities for a Si atom to occupy one of the available special positions 8i, 8j, and 8f in the R${\mathrm{Fe}}_{10}$${\mathrm{Si}}_{2}$ lattice have also been determined from the analysis of the M\ossbauer spectra. A comparison of the ${\mathit{A}}_{\mathit{n}0}$ obtained for the R${\mathrm{Fe}}_{12\mathrm{\ensuremath{-}}\mathit{x}}$${\mathit{T}}_{\mathit{x}}$ compounds, with T=Ti, V, or Si, as a function of the preferential site occupation of the T atoms and of the T-atom concentration x reveals a decrease in ${\mathit{A}}_{\mathit{n}0}$ with increasing T-atom occupation of the 8i site.