Abstract
Volume of intersection of sphere with pentagonal pyramid: Case of special practical interest for nano-grained composites. / L. Chkhartishvili, O. Tsagareishvili, J. Khantadze. / Nano Studies. – 2020. – # 20. – pp. 19-24. – eng. Nanocomposite materials are built up from crystalline nanoparticles of different phases. As nanocrystallites often take icosahedral shape the structural model for a bifractional nanocomposite leads to the geometric task: to determine the volume cut out from the sphere by the lateral facets planes of a pentagonal pyramid, top of which coincides with the sphere center. In the paper, this problem is resolved analytically. Based on this result, it is possible to estimate quntitively the density of bufractional nanocomposites. Fig. 8, Ref. 4.