“…10,15 The method for the estimation of volume change upon crystallization under the conditions of a center-symmetrical temperature field in the focal zone of an optical furnace has been proposed. [32][33][34] It has significant limitations and cannot be used for substances with high melt viscosity, disposed to the formation of internal hollow spaces, to which Al 2 O 3 is related. Nevertheless, the second task was to thoroughly research the solidification process of alumina in the focal zone of an optical furnace, and comparing the peculiarities of the alumina crystallization with the crystallization processes in REE oxides under the same conditions, and to estimate the influence of their peculiarities on the reliability of the reported results.…”