Assignment 5b (kinetic Monte Carlo): Use the kinetic Monte Carlo model to obtain the diffusivity of a vacancy in a linear atomic chain: a = 0.2 nm - 3 - 2 - 1 j+1 j+ 2 j + 3 defined by the following jump rate: Em Vo = 1012 HZ Em = 0.5 ev T = 1000 K V (T) = Vo exp KT (Use: k = 8.615x10-5 eV/K)(tips) . Calculate the diffusivity from the mean squared displacement (msd) as: 1 d(Ax2) DV = 2 dt Where: msd = (Ax2) = ((x(t) -Xo)2), and x(t) is the instantaneous vacancy position and x, is its initial position