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Quantum electrodynamic effects have been systematically tested in the progression of rotational quantum states in the X ^1Σ_g^+, v=0 vibronic ground state of molecular hydrogen. High-precision Doppler-free spectroscopy of the EF ^1Σ_g^+ - X ^1Σ_g^+ (0,0) band was performed with 0.005 cm^-1 accuracy on rotationally-hot H_2 (with rotational quantum states J up to 16). QED and relativistic contributions to rotational level energies as high as 0.13 cm^-1 are extracted, and are in perfect agreementdoi:10.1103/physrevlett.107.043005 pmid:21867001 fatcat:jmxrqg2ffrccpdy6dmebrz5fme