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In this study the synthesis of the derivative of boron nitride nano- cages with energetic material (TEX) in different conditions of temperature, density functional theory methods were studied. For this purpose, the material on both sides were geometrically optimized reaction, then the calculation of the thermodynamic parameters was performed on all of them. The values ​​of ΔH, ΔG, ΔS the reaction at different temperatures for different products together, these parameters in the raw material is obtained. And finally, the best temperature for the synthesis of derivatives of explosives, according to the results of thermodynamic parameters were evaluated.