Internal strain tensors describe the relative displacements of sublattices in stressed crystals in which some atoms occupy sites lacking inversion symmetry. The variation of |F(H)|2 in such crystals is shown to depend on inner compliance tensors which are essentially products of internal strain tensors with the macroscopic elastic compliance tensor. The forms of the inner compliance tensors and the uniaxial stress derivatives of |F(H)|2 are tabulated for 20 simple crystal structures in which the number of atoms per lattice point is 2, 3 or 4.