Abstract. In this paper it is demonstrated that the critical concentration of excited nucleus and the development of powerful enough gamma-laser are possible in the near future. At the present level of technology, the amplification of gamma-lasers could be of more than 10 orders of magnitude, and the power of coherent radiation – more than one kilowat. The shape and amplitude of the laser pulse are derived as a function of the active elements cooling rate. The differences between gamma-lasers and the visible light lasers are stated. Notwithstanding the high amplification and the single-time action, the stimulated emission of some real radionuclides can last long enough for all scientific experiments and technological applications. The new relations between the Einstein coefficients and new cross-sections for stimulated emission (absorption) help to deeper understanding of stimulated emission, stars atmospheres, plasma physics, quantum theory of radiation and many other physics processes.

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