Muon radiative energy loss (in 1.0E06 cm^2/g) in vanadium (V) with Z = 23, A = 50.9415(1) (f12.0,4f12.4) E (GeV) b_brem b_pair b_nucl b_total 2. 0.7202 0.3417 0.4149 1.4769 5. 0.9830 0.8477 0.4234 2.2541 10. 1.1965 1.2462 0.4323 2.8749 20. 1.4164 1.6552 0.4152 3.4868 50. 1.7073 2.2517 0.3962 4.3552 100. 1.9174 2.6579 0.3870 4.9623 200. 2.1130 3.0302 0.3825 5.5257 500. 2.3385 3.3836 0.3823 6.1043 1000. 2.4784 3.5767 0.3884 6.4435 2000. 2.5905 3.7187 0.3983 6.7075 5000. 2.6980 3.8390 0.4165 6.9535 10000. 2.7530 3.8955 0.4347 7.0832 20000. 2.7903 3.9322 0.4559 7.1784 50000. 2.8216 3.9604 0.4889 7.2709 100000. 2.8361 3.9720 0.5172 7.3253