Amplification of 10.6-μm radiation in a metallic waveguide and waveguide CO
2-laser action was achieved by excitation of the CO
2(00
01) mode by vibrational energy transfer from metastable

molecules. Excitation of N
2was accomplished in a separate dc discharge tube. The N
2-He mixture, after flowing through the discharge region, was pumped into the waveguide and there CO
2was added. Maximum small-signal gain values of 25.6 and 15.3 dB/m were obtained at amplifying waveguide sections of 2 and 6-cm length, respectively. A theoretical analysis, based on rate equations for the (00
01) and the (10
00) states of CO
2and the concentration of

molecules, is presented, which leads to predictions for the small-signal gain and the saturation intensity. In the pressure range covered by experiments the calculated gain values were found to be consistent with measurements.