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Today, nanotechnologies have become a very important part of our daily life, contributing to the significant improvement of many technological and industrial sectors such as information technology, internal security, medicine, transport, energy, food safety, environmental sciences and many others. This technology allows materials to be processed at the nanoscale. We have studied the vanadium dioxide VO2, a material that is currently being researched in the development of new technologies, and the possibility of integrating nanoparticles of this material into the energy field, knowing that it's considered an intelligent material. Each cooling followed by heating of such a material generates a hysteresis loop, the area of this loop represents the energy dissipated in this material. In this paper, we will mathematically model this loop to determine the dissipated energy E that can be reduced or reused as an energy source. We compared the energy dissipated in pure vanadium dioxide and doped according to the two types of doping n-type with 5% tungsten (W), p-type with 15% chromium (Cr), we find that doping in general results in a decrease in the energy dissipated in this material compared to the pure state.

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