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For the first time the intrinsic luminescence in the undoped (CaO-Ga_{2}O_{3}-GeO_{2}) glasses with different composition has been found and investigated in the 80÷300 K temperature range. The new glasses of high chemical purity and optical quality with stoichiometric composition similar to that in calcium-gallium- germanium garnet (Ca_{3}Ga_{2}Ge_{3}O_{12}), trigonal Ca-gallogermanate (Ca_{3}Ga_{2}Ge_{4}O_{14}), and Ca_{3}Ga_{2}O_{6} crystals were obtained by the high-temperature synthesis method. The luminescence and photoexcitation spectra analysis, supported by EPR spectroscopy data, yields the following results: (i) the UV-excited non-elementary broad emission band with maxima at roughly 500 nm and 420 nm in the (CaO-Ga_{2}O_{3}-GeO_{2}) glasses is due to recombination of ensemble of the transient hole O^{-} centres; (ii) the emission bands with maxima at nearly 380 and 710 nm, which were distinctly revealed in glasses with the Ca_{3}Ga_{2}Ge_{4}O_{14} and Ca_{3}Ga_{2}O_{6} compositions, are assigned to the luminescence of UV-induced electron centres of two different types. Possible models of the luminescence centres in (CaO-Ga_{2}O_{3}-GeO_{2}) glass network are discussed.
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