The data on optimization of output parameters (output energy and laser efficiency) and distribution of laser radiation energy on the output window cross-section of the wide-aperture Xe-laser pumped by a radially-convergent e-beam with pulse duration of 0,5 s at the FWH1VI were obtained. It is shown experimentally, that the requirement of homogeneity of output laser radiation across the aperture limits the energy deposition value from below, and the requirement of maximal laser efficiency restricts the energy deposition value from above.In the experiment the maximal laser efficiency as 1,5-2 % was obtained at the specific energy deposition of 12-14 inJ/cm3atm. The calculations show that with cleaning of the operating mixture from molecular gases impurities the laser efficiency and energy output can be increased in 1 . 5-2 times. The negative influence of impurity gases at optimum range of pumping power is decreasing of electron temperature and as a consequence decreasing of the upper laser level pumping.