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We start by briefly reviewing several projects in theoretical chemistry, where supercomputer performance is essential. We follow this list of projects (extracted from our work) with a short description of a parallel system we have assembled, which has supercomputer performance and, in our opinion, a most unusual flexibility. The complexity of a chemical system, considered as a discrete and numerable ensemble of particles, is proportional to the number of mutually dependent variables characterizing a given aspect of the system. In our implicit definition of complexity, we use two criteria: 1. The number of atoms or molecules present in the system and, 2. the size of the largest molecule in the system. The size is defined as the number of atoms in the largest molecule of the system.