A new method for obtaining inverse population between quadrupole sublevels of the ground state 5/2+(0.0) and the isomeric state 3/2+(7.6 eV) of the 229Th nucleus in a dielectric crystal with a large band gap by means of an external source of VUV radiation is proposed. The method is based on an efficient depopulation of the upper sublevels of the ground state of 229Th by resonant photons from a narrowband laser or a broader tunable free electron laser. The sublevels of the isomeric state play the role of intermediate states. The proposed scheme of optical pumping (1) results in inverse population of nuclear sublevels without using extremely low temperatures, and (2) shows a new means of creating a gamma-ray laser of optical range at the nuclear transition in 229Th (a) in crystals with isovalent substitution of host ions (e.g. Si4+ ions in the SiO2 crystal replaced by the 229Th4+ ions) and (b) in crystals such as Na2ThF6, where the substitution is not necessary.
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