# Material Properties: Sapphire

### Data Available:

• Expansion Coefficient (Plot unavailable)
• Linear Expansion (Plot unavailable)
 Expansion Coefficient UNITS 10-6/K a 10.97236 b -97.23540 c 240.2436 d -294.9933 e 195.9244 f -66.89247 g 9.19921 h 0 i 0 data range 4-83 equation range 5-80 curve fit % error relative to data 3
 Curve fit equation of the form: log10 y = a+b(log10T) + c(log10T) 2 + d(log10T) 3 + e(log10T) 4 + f(log10T) 5 + g(log10T) 6 + h(log10T) 7 + i(log10T) 8 Solves as: y = 10 a+b(log10T) + c(log10T) 2 + d(log10T) 3 + e(log10T) 4 + f(log10T) 5 + g(log10T) 6 + h(log10T) 7 + i(log10T) 8 Where: Coefficients a - i are summarized in the appropriate table and T is the temperature in K (x-axis), and y is the property to solve for.

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 Linear expansion .Units [(L-L293)/L293] x 105 unitless, eg. m/m a -7.8850E+01 b -2.2346E-02 c 1.0185E-04 d 5.5594E-06 e -8.5422E-09 Tlow (K) NA f> NA data range (K) 20-293 equation range (K) 15-300 curve fit % error relative to data 4
 equation of the form: y = a + bT + cT 2 + dT 3 + eT 4 >T > Tlow y = f T < Tlow solves as expected: Where: Coefficients a-e are summarized in the appropriate table and T is the temperature in K (x-axis), and y is the property to solve for.

See References