Retardation and multipole corrections to blackbody radiation shifts in Rydberg states become dominant above a characteristic temperature of order α mc² / (3 k_B n²), with quadrupole and diamagnetic shifts of similar magnitude.
Loudon,The Quantum Theory of Light, 2nd ed, Ox- ford University Press, Oxford (1983)
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Multipole blackbody radiation shift in Rydberg atoms
Retardation and multipole corrections to blackbody radiation shifts in Rydberg states become dominant above a characteristic temperature of order α mc² / (3 k_B n²), with quadrupole and diamagnetic shifts of similar magnitude.