Relativistic Quadrupole Polarizability for the Ground State of Hydrogen-Like Ions

The static quadrupole polarizabilities for hydrogen-like ions from Z=1 to Z=100 in the 1S_1/2 ground state are calculated to high precision by solving the Dirac equation using the B-spline Galerkin method. The results are consistent with the expression of Kaneko J. Phys. B 10 (1977) 3347 at low Z. The quadrupole oscillator strength sum ∑_n f_gn⁽²⁾ is computed to be zero to a very high degree of precision.