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Previously published results of photoabsorption calculations for small krypton cluster cations [Chem. Phys. 298 (2004) 155] are extended to larger cluster sizes. Clusters with up to 20 atoms are considered and several diatomics-in-molecules models with the inclusion of the spin-orbit coupling and leading three-body polarization and dispersion forces are used. Photoabsorption cross-sections are presented for a wide range of photon energies and for both zero and non-zero temperatures.