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The intrinsic energy resolution and nonproportionality of the light yield as a function of gamma ray energies were studied for small BGO crystals at room and liquid nitrogen (LN2) temperatures. The study showed that intrinsic resolution of BGO and the light yield non-proportionality as a function of energy do not depend on the crystal temperature. High light outputs of 14000± 300 electron-hole pairs and energy resolution of 6.5± 0.2% for 662 keV gamma rays were measured with the 9 mm diameter, 4 mm thick crystals, coupled to a Large Area Avalanche Photodiodes and cooled down to LN2 temperature. Special attention was paid to analyze the energy resolution of the escape peaks, which were well separated from the full-energy photopeaks due to the good energy resolution of BGO at LN2 temperatures and the energy of bismuth K X-rays. The intrinsic energy resolution of the BGO crystal for escape peaks does not show deviations from analysis of total energy absorption photopeaks. This is in spite of the fact that the contributions of X-rays and Auger electron cascade in creation of escape peaks are much smaller than in full-energy peaks. In the small volume crystal, mainly electrons produced in the photoelectric absorption create the escape peaks.