The relations among the quantities participating in surface formation have been studied on the basis of the following assumptions: (i) There is an analogy between surface formation and vaporization. (ii) The surface tension as a function of temperature is given by the equation, γ∝(1−
T⁄
Tc)
B, where
Tc is the critical temperature and
B is the exponent.
Based on the above assumptions the following expressions for the relations among surface quantities are determined by statistical analysis of experimental data: (1) The surface entropy is given by the equation,
s≈0.1
S, where
S the specific vaporization entropy in J/(m
2·K), defined as the vaporization entropy per unit area of the monatomic layer in bulk. (2) The surface tension is given by the equation, γ=1.536×10
4 S1.62, where γ is the surface tension in N/m. (3) The surface tension is given by the equation, γ=0.152+4.61×10
−4 Ev⁄
V2⁄3, where
Ev, is the formation energy of a vacancy in eV and
V is the atomic volume in m
3.
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