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The photon spectrum accompanying the orbital K-electron capture in the firstforbidden unique decay of 81Kr was measured. The total radiation intensity forthe photon energies larger than 50 keV was found to be 1.47(6) x 10^{-4} perK-capture. Both the shape of the spectrum and its intensity relative to theordinary, non-radiative capture rate, are compared to theoretical predictions.The best agreement is found for the recently developed model which employs thelength gauge for the electromagnetic field.

Radiative electron capture in the first forbidden unique decay of 81Kr