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Comparison of two universal equations of state for solids

1990; IOP Publishing; Volume: 2; Issue: 2 Linguagem: Inglês

10.1088/0953-8984/2/2/005

1361-648X

C. Renero, Fernando Prieto, Miguel de Icaza,

nanoparticles nucleation surface interactions

A comparison between two of the so-called universal equations of state for solids is made. It is shown that although the Vinet equation and the Prieto-Renero equation are obtained on very different bases, their general form is very similar. Furthermore, the coefficients of the temperature dependent terms in the two equations are identical. This leads to a new relationship between the isothermal bulk modulus and other measurable parameters of the material. Numerical results obtained using both equations are shown to be in good agreement with some reported experimental data for gold, and for sodium chloride. The meaning of universality is different from one equation to the other; however, both of these meanings have been already accepted and used in relation to the scope of validity of equations of state. It is concluded that the use of one or the other equation depends more on the availability of the physical parameters needed than on the reliability of the equation itself.