THERMAL EXPANSION COEFFICIENTS OF GRAPHITE CRYSTALS. Page: 5 of 21
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of av and K are of the same order of magnitude, Riley assumed'that the ratio of
av2/K could be approximated by a constant, G, and the two components of the
heat capacity then written as
C = Cv + GaVT; Cp = CV. + GcVT (4)
a a c c
where the constants Ga and Gc are defined by the relationship
G = Ga + 1Gc (5)
The crystal lattice coefficients of thermal expansion, aa and ac parallel
and perpendicular to the basal planes were shown to be expressible in convenient
aa = A C + B Cv + CT, (6a)
ac =LC +MC, +NT, (6b)
A 2 (s + s12) (7a)
B = s13 (7b)
L V 13 (7c)
M = s33 (7d)
C = +[2 Ga 1 + 51) + Gc s13] (7e)
N = [4 Ga s13 + Gc s33] (7f)
sly, s12, s13 and s33 are crystal elastic moduli and A, B, C, L, M and N are
treated as constants.
Integrations of equations 6a and 6b yields the equations
ln (a ) = A Ua + B U + 2 T2 (8a)
ln ( ) = I. Ud + M Uc + N T2 (8b)
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Morgan, W.C. THERMAL EXPANSION COEFFICIENTS OF GRAPHITE CRYSTALS., report, October 31, 1971; Richland, Washington. (https://digital.library.unt.edu/ark:/67531/metadc1033287/m1/5/: accessed May 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.