Inter atomic force constants of binary and ternary tetrahedral semiconductors

In this paper, we present the expressions relating the inter atomic force constants like as bond-stretching force constant ($\alpha$ in $N/m$) and bond-bending force constant ($\beta$ in $N/m$) for the binary (zinc blende structure) and ternary (chalcopyrite structure) semiconductors with the product of ionic charges (PIC) and crystal ionicity ($f_{i}$). Interatomic force constants of these compounds exhibit a linear relationship; when plot a graph between Interatomic force constants and the nearest neighbor distance $d$ ($\mathring{\mathrm{A}}$) with crystal ionicity ($f_{i}$), but fall on different straight lines according to the product of ionic charges of these compounds. A fairly good agreement has been found between the observed and calculated values of the $\alpha$ and $\beta$ for binary and ternary tetrahedral semiconductors.