The thermal expansion coefficient defines the fractional changes in the volume of a material with temperature; normally, its value increases almost linearly with temperature except for the lowest temperatures.
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Where v _ s is the speed of sound in medium, \ beta is the thermal expansion coefficient, and C _ p is the specific heat capacity at constant pressure.
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It then is safe to cool the product to room temperature at a rate limited by the heat capacity, thickness, thermal conductivity, and thermal expansion coefficient of the glass.
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What is the exact relation between activity coefficient and thermal expansion coefficient for a non-ideal solution ?-- talk ) 08 : 56, 11 July 2016 ( UTC)
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Where \ alpha _ \ mathrm { eff } is the effective volumetric thermal expansion coefficient, and h 0 is the mid-ocean ridge height ( compared to some reference ).
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:Our coefficient of thermal expansion article has a list of the thermal expansion coefficients of various substances at 20 o C . Gandalf61 10 : 09, 14 May 2007 ( UTC)
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Where \ rho _ { T _ 0 } is the density at a reference temperature, \ alpha is the thermal expansion coefficient of the material at temperatures close to T _ 0.
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Melting temperatures, thermal expansion coefficients, and thermal conductivity can be considered to be secondary properties that are essential in processing, and these properties are related to the bonding in wide bandgap materials.
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The energy is deposited very locally, without significant heating of the bulk of the substrates, which reduces problems with mismatched thermal expansion coefficients between the materials and allows their joining at room temperature.
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The same relationship can be shown in a different way from the fact that the incompressibility of the product of the modulus and the thermal expansion coefficient is not dependent on the pressure for a given material.