Non-extensive thermostatistics approach to metal melting entropy

A generalized Mott relation of metal melting entropy is derived by means of non-extensive solid and liquid quantum entropy that we calculate from grand partition functions of the localized ordered quantum solid and of the disordered quantum Boltzmann liquid. For each of the 18 elements considered, the entropic parameter qm, depending on particle correlations, is deduced such that a better agreement is obtained between calculated non-extensive metal melting entropy and available experimental data. The non-extensive entropic parameter makes the difference between normal and anomalous metals. Therefore, those elements not reported here should also belong to one of the two classes. Possible applications to condensed matter, Earth, and other solar planets seismology are mentioned.