// Scilab Code Ex 1.16 :Page-27 (2006) clc; clear; R = 1; // For simplicity we assume radius of atom to be unity, m // From the right triangle LMN similar to trinagle LPO, LM/LO = R/(R + r) = LP/LO = sqrt(2/3), solving for r r = poly(0, 'r'); r = roots(R/sqrt(2/3)-R-r); printf("\nThe radius ratio of tetragonal void = %5.3f", r/R); // Result // The radius ratio of tetragonal void = 0.225