Overheating of the melt above the melting point is inexpedient, because it does not lead to substantial improvement of the structure although the energy consumption is increased. Holding of hardened materials at high temperatures increases the porosity substantially without changing the volume, which means that the crystals formed have multiple defects.The previous works of this series [1,2] were devoted to the effect of the cooling rate of a melt of forsterite composition in the period of crystallization and its chemical composition on the structure of the materials obtained.As a rule, when a melt is heated above the melting point and poured and cooled under the same conditions, the curve describing the temperature dependence of the grain size has a nonlinear nature [3] and a minimum at the overheating point characteristic for each particular substance. The heterogeneous crystallization is changed to a homogeneous one and control of the pouring temperature becomes very important for controlling the structure of the material.In order to determine the dependence between the grain size and the overheating temperature we prepared specimens by the following method. The material of blocks of electrofused forsterite was melted in an electric arc with hardening of the molten drops in water, which ensured a homogeneous fine-crystalline structure for the material and a uniform chemical composition. Pieces of drops with the same mass (0.30-0.35 g) were heated in a high-temperature hardening microfumace [4] to the melting point, the melt was overheated, held at the needed temperature for 30 see, and then (1) cooled by hardening in the water-cooled pipe of the furnace (2) cooled to a temperature 50°C higher than the temperature of the end of melting, followed by 30-sec holding and cooling in the water-cooled pipe of the furnace (Fig. I). This regime provides similar conditions for the cooling of specimens and is a traditional technique for constructing such dependences [3].When hardening the material from different temperatures the drops have different internal energies, which leads to substantially different temperature gradients in cooling and I Alma-Atinskii Power Institute, Alma-Ata, Kazakhstan. hence to substantially different crystallization conditions at the surface of the drop and at its center for different specimens. Holding of the melt at the same overheating temperature creates similar conditions of crystallization of the material although the thermal history of the specimens can be different. The thermal history affects the degree of ordering of the melt, which becomes worse after melting the crystals at a higher temperature or with lengthier holding times at the same temperature. As the overheating temperature is increased, the number of undissolved crystals of the high-temperature phase of the material and impurities capable of becoming centers of heterogeneous crystallization decreases.The experiments were carried out with specimens containing asbestos waste and periclase of near-eutectic and post-eutectic...