The CS bounds consist of two factors. The first is the norm of the polarization operator, ∥O(r)∥, and the second is the overlap between the orbital densities, |µ 2 ν 2 | = d 3 r ϕ 2 i (r)ϕ 2 j (r), where the orbitals µ(r) and ν(r) are assumed to be Cartesian Gaussians. The square of a Cartesian Gaussian function is bounded by a spherically symmetric Gaussian function with the same total angular momentum l i = n xi + n yi + n zi :