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This work presents the analytical development of one-center nonrelativisticintegrals of second order for the NMR (nuclear magnetic resonance) shieldingtensor. The main difficulty in the analytical and numerical treatments of theseintegrals arise from the presence of $r^{-3}$ in the operator. Compactanalytical formulae are obtained using the Fourier transform formalism.Moreover, the obtained formulae are computationally convenient and can becomputed to machine accuracy.

One-Center Nonrelativistic Integrals of Second Order for the NMR Shielding Tensor