Cross sections for radiative electron capture (REC) by 33-TeV Pb82+ ions in
Be and C targets have been extracted from an analysis of measurements of t
otal electron capture by these ions in Be, C, Al, Cu, Sn, and Au targets. T
he REC cross sections in the Be and C targets, when REC is significant, wer
e obtained by subtracting cross sections for electron capture from pair pro
duction (ECPP), the only other significant capture process at these energie
s. The ECPP contributions in Be and C were determined from extrapolations o
f measured cross sections in the heavier targets where the ECPP process dom
inates, with suitable accounting for slightly decreased screening effects f
or the light targets. We obtain an experimental K-REC cross section (0.010
+/- 0.002b per electron per Pb K vacancy), which agrees with a calculation
of REC made by applying detailed balance to the corresponding process of ra
diative recombination and using tabulated photoelectric effect cross sectio
ns. A comparison is also presented of the present experimental result with
other heavy-ion measurements made at lower energies, and with nonrelativist
ic and relativistic calculations, which differ considerably in this energy
regime.