A unified model for the cohesive enthalpy, critical temperature, surface tension and volume thermal expansion coefficient of liquid metals of bcc, fcc and hcp crystals

2008 ◽  
Vol 495 (1-2) ◽  
pp. 19-26 ◽  
Author(s):  
G. Kaptay
Keyword(s):  
Surface Tension ◽  
Thermal Expansion ◽  
Critical Temperature ◽  
Thermal Expansion Coefficient ◽  
Expansion Coefficient ◽  
Liquid Metals ◽  
Unified Model ◽  
Volume Thermal Expansion Coefficient ◽  
Temperature Surface

THERMAL EXPANSION OF SOLIDS AND THE TEMPERATURE DEPENDENCE OF LATTICE VIBRATION FREQUENCIES

1964 ◽  
Vol 42 (10) ◽  
pp. 1857-1864 ◽  
Author(s):  
Alois Schauer
Keyword(s):  
Thermal Expansion ◽  
Temperature Dependence ◽  
Thermal Expansion Coefficient ◽  
Expansion Coefficient ◽  
Lattice Vibration ◽  
Close Relation ◽  
Vibration Frequencies ◽  
Temperature Ranges ◽  
Basic Equations ◽  
Volume Thermal Expansion Coefficient

It is shown that a close relation exists between the temperature coefficient of lattice vibration frequencies and the thermal expansion coefficient. The basic equations[Formula: see text](νi being the frequency of the ith mode of vibration, T the temperature, Ci the Einstein function of frequency νi, γ the Grueneisen parameter, and β the volume thermal expansion coefficient) are derived and discussed for various temperature ranges.

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