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Coefficient of Thermal Expansion (CTE)
Definition: The coefficient of thermal expansion is defined as the fractional
increase in the length per unit rise in temperature.
The coefficient of thermal expansion
for a material is usually specified over a temperature range because it varies depending on
the temperature. The following values are given for a temperature around 20 °C.
CTE is usually given in units of um/m/°C or ppm/°C.
Coefficients of Thermal Expansion (CTE) of some common materials
Material |
CTE (ppm/°C) |
|
Material |
CTE (ppm/°C) |
AlAs
| 4.9 |
|
InAs
| 4.52 |
AlP
| 4.5 |
|
InP
| 4.75 |
Alumina
| 6-7 |
|
InSb
| 5.37 |
AsSb
| 4 |
|
Invar
| 1.3 |
Copper
| 16.7 |
|
Kovar
| 5.9 |
Cu/I/Cu
| 8.4 |
|
Molybdenum
| 7.0-7.1 |
Cu/Mo/Cu
| 6 |
|
Polymers
| 50-200 |
Cu/Mo-Cu/Cu
| 6-10 |
|
S-glass
| 16 |
E-glass
| 54 |
|
Silicon
| 2.6 |
Epoxy
| 55 |
|
Silicon Nitride (Si3N4)
| 3.2 |
Fused Silica
| 0.55 |
|
Silicone resins
| 30-300 |
Gallium Arsenide (GaAs)
| 6.86 |
|
Tin-Lead Solder
| 27 |
GaP
| 4.5 |
|
Titanium
| 9.5 |
GaSb
| 7.75 |
|
Tungsten
| 5.7-8.3 |
Germanium (Ge)
| 5.8 |
Sources:
www.owlnet.rice.edu/~msci301/ThermalExpansion.pdf
www.matweb.com
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