Cryogenic technologies group
Material Properties: Sapphire
 Data Available:
 Expansion Coefficient

 

 
Expansion Coefficient
UNITS (1/K)x10-6
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 10 5 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.

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