Coefficient of cubic thermal expansion

The quantity equal to the coefficient of (cubical) thermal expansion a of the substance constituting the system, and — ) is the... 

Finally, when a solid having an initial overall volume V , measured at a reference temperature T , is heated to a final temperature T, it exhibits a final volume V > V. The relative increase of cross-section A V/Vj, is directly proportional to the temperature difference AT. The proportionality coefficient is called the coefficient of cubic thermal expansion and is denoted by the Greek letter or by the acronym CVTE and expressed in K . It is defined by the following equation ... 

Two basically similar methods have been developed by ASTM to measure the coefficient of linear thermal expansion (ASTM D 696) and the coefficient of cubical thermal expansion of plastics (ASTM D 864), respectively. The values reported in the trade journals are usually the coefficients of linear thermal expansion. 

Afterwards, above 2300°C, tetragonal zirconia transforms into high-temperature cubic zirconia (i.e., fluorite type) with a mass density of 5500 kg.m and a coefficient of linear thermal expansion of 10.5 x 10 K ... 

H. H. Cady and W. H. Rogers, Enthalpy, Density, and Thermal Coefficient of Cubical Expansion ofiTNT, LA-2696, LLL, Livermore, Calif., 1962. 

Thermal expansion values can be calculated from measurements of thermal deflection of enamel—metal composites. The cubical thermal expansion coefficient ia the temperature range of 0—300°C can also be calculated usiag the additive formula ... 

For a cubic site, relations between the cumulants and the coefficients of the OPP model have been derived by Kontio and Stevens (1982), and applied to the Al(4) atom in the alloy VA110 4.2 The coordination of Al(4) is illustrated in Fig. 2.4(a), while the potential along [111], derived from the thermal parameter refinement, is shown in Fig. 2.4(b). It is clear from these figures that higher than third-order terms contribute to the potential, because the deviation from the harmonic curve is not exactly antisymmetric with respect to the equilibrium configuration. The potential appears steeper at the higher temperature, which is opposite to what is expected on the basis of the thermal expansion of the solid. 

Fig. 5a and b. Heat capacities Cp (a) and cubic thermal expansion coefficient P (b) for DGER-mPhDA network of different P.T = 5-15 K./min... 

Fig. 6a and b. Heat capacity ACP(TS) and cubic thermal expansion coefficient jumps AP(Tg) for some epoxy-amine systems.. Experimental results O DGER-mPhDA networks of different P, completely cured and annealed (T = 0.5°/min) DGEBA-mPhDA networks of different P, completely cured and annealed DGEBA-mPhDA unreacted mixture (P = 1) DGER-mPhDA unreacted mixture (P = 1) solid lines — the best fit... 

The thermal expansion coefficients of cubic materials are isotropic and hence do not exhibit this phenomenon. 

Gruneisen parameter (y) - Defined by y = u /k Cy p, where is the cubic thermal expansion coefficient, k is the isothermal compressibility, c, is the specific heat capacity at constant volume, and p is the mass density, y is independent of temperature for most crystalline solids. [1]... 

The final table gives the cubic thermal expansion coefficient a, the isothermal compressibility coefficient and the speed of sound u for liquid mercury as a function of temperature. These properties are defined as follows ... 

GLASS TRANSITION TEMPERATURES AND THERMAL COEFFICIENTS OF CUBICAL EXPANSION OF POLY /DMSOPROPYLIDENEGALACTOSE ACRYLATE/ AND POLY /DI-ISOPROPYLIDENEGALACTOSE METHACRYLATE/. SEWELL J H ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH /ENGLAND/... 

---