Abstract
Relation between triple point temperature and the Rydberg constant based on the semi-phenomenological approach is found. To explain squared number 17 set in factor of proportionality, we use the Poisson distribution to be valid for some groups of thermal vibrations in pure water. We formulate a theorem explaining appearance of squared number of vibrations in thermal energy. Analogy of wave function is found to give critical and boiling points. Experimental data provide the high-accurate values for appropriate fractional numbers. In that way, we find compact analytical formulas for particular points of pressure, heat capacity, enthalpy, critical temperature, surface tension, dielectric permittivity and electric potential. Additionally, water cluster of most likely structure is considered.