where ϵ is the Levi-Civita symbol, α V is the velocity gauge electric dipole-electric dipole polarizability. The origin dependence for each choice of perturbation comes from differences between the off-diagonal elements of α V ia ; the total MVG α is symmetric, so these terms cancel out when summing over all occupied-virtual orbital pairs, but each α V ia is in general not symmetric. The form of Eqs. 11a and 11b suggests a simple approach for eliminating origin dependence from Sia :