The law of corresponding states for metals

Relations between Characteristics of Point Defects and Bulk Properties of Solids a Criticism of the Varotsos‐Alexopoulos Model

“…the temperature and pressure dependence of the function gi can be described by the T and p dependence of the scaling parameters E, and cro only -are not generally valid. It is also demonstrated that relations (7) and (8) are not in accordance with the experimental data for f.c.c. metals.…”

“…Using the similarity of the interatomic potentials expressed by (9) it was shown in [8] that a t temperatures higher than the Debye temperature the reduced (dimensionless) form of g i can be given as a function of the reduced pressure p* = p ( O~/ E~) , and…”

“…The nonreduced form of these is well-known from the classical rate theory (see e.g. It can be noted that the phonon parts of (lo), (12), (13), and (14) are given in quasiharmonic approximation, which takcs partial account of anharmonicity as well and only those effects of anharinonicity are neglected which are described by the first anharmonic correction to the Gibbs free energy (see (10) in [8] where it was shown that this correction is proportional to T * 2 ) .…”

“…Accordingly, neglecting the electronic parts and taking into account that a t high temperatures [8] y*c, = V*cw*B* and c; = c," = T*V*n*B*, where y* = y is the Griineisen parameter, cw* is the reduced thermal expansion coefficient, c ! and c: are the reduced heat capacity a t constant pressure and a t constant volume, respectively, (12), (13) and (14) can be rewritten as…”

“…I n most cases only simple dimensional considerations are necessary (see e.g. [8,91). Although this way the atomistic meaning of the proportionality constants in relations cannot be interpreted in details and only their constancy can be stated, this description -because of its very general characteris suitable for showing the validity conditions of relations obtained empirically or semiempirically .…”