We have studied the thermoluminescence curves in the 420 nm band (F centers) and the 330 nm band (F + centers) within the temperature range of the dosimetric peak (T max = 450 K) in anion-deficient aluminum oxide crystals. Assuming general-order kinetics, we have analyzed the thermoluminescence decay curves on the rising and falling sides of the dosimetric peak, in samples with different degrees of deep trap filling. We have established differences in the order of the kinetics within different temperature ranges of the dosimetric peak.Introduction. The thermoluminescence and kinetic properties of anion-deficient aluminum oxide single crystals have been studied in connection with their application for ionizing radiation dosimetry [1][2][3][4]. However, so far there has been insufficient study of the nature of the active centers and the mechanism for thermoluminescence (TL) at the dosimetric peak at 450 K. We know [1, 2, 5] that within this peak we observe mainly luminescence of F centers (oxygen vacancies with two trapped electrons) and also a number of thermoluminescence features: a dependence of the intensity of luminescence for the F centers (420 nm) on the heating rate, a decrease in the average activation energy, superlinearity of the dose curve. Establishment of the role played in the indicated processes by deep trapping centers, the thermal ionization of which occurs at 730 K and 880 K, represents important progress. Deep trap filling is connected with the above-indicated characteristics, since it determines the competition for capture of charge carriers in the trap, which are responsible for the dosimetric peak. Data are available [6] indicating that this peak is not an elemental peak and that different luminescence mechanisms can be realized within its temperature range.We also know [2] that in the TL spectrum of the dosimetric peak there is a 330 nm component due to luminescence of F + centers (oxygen vacancies with one trapped electron). The concentration of F + centers can be varied by exciting the studied crystals with UV light in the absorption band for F centers (210 nm). In this case, the conversion F center → F + center occurs and the free electrons generated occupy traps, including deep traps [7,8].The aim of this work was to analyze the kinetic parameters of thermoluminescence within the temperature range of the dosimetric peak for irradiated crystals of anion-deficient α-Al 2 O 3 , taking into account the noted characteristics.Samples and experimental procedure. Samples (diameter 5 mm and thickness 1 mm) of nominally pure anion-deficient single crystals of α-Al 2 O 3 were grown under strong reducing conditions [1]. For the irradiation, we used a β radiation source based on the 90 Sr/ 90 Y isotopes, providing a test dose of 64 mGy at the sample location for 2 min.The TL curves were recorded using an MUM grating monochromator and an FÉU-39A photomultiplier. The monochromator was used to isolate the luminescence bands of the F and F + centers. The original samples were preannealed up to a tempera...