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The authors used a modern quantum theory allowing to determine the energy levels of electrons in real metal. What's more, the presented model allows to define the electrons energy density and consequently use the Gibbs ensemble theory. In combination of quantum theory and Gibbs statistics, the authors obtained analytical equations for both the work function and the bulk modulus of metals. Based on the obtained equations, the work function and the bulk modulus for Ti and several other metals were calculated. It sho...