Single crystals of nickel, of a slender cylindrical rod form, were prepared by the method of slow solidification, and Young's moduli of elasticity of annealed crystal specimens having various orientations were measured by the method of magnetostrictive oscillation at room temperature. The relation between the reciprocal of the modulus, 1/
E, and orientations(γ
1, γ
2, γ
3) was found to be 1/
E=0.8349-2×0.6739 (γ
12γ
22+γ
22γ
32+γ
32γ
12)×10
-12cm
2/dyne, where γ
1, γ
2 and γ
3 are direction cosines of the rod axis of a crystal specimen referred to the tetragonal axes; Young's moduli in directions of the three principal crystallographic axes, [100], [110], and [111], are
E[100]=1.198× 10
12,
E[110]=2.008×10
12, and
E[111]=2.592×10
12 dynes/cm
2, respectively. Then, principal elastic parameters,
Sik, were determined by the use of the reliable measured data for the volume compressibility of polycrystalline nickel, which was 0.535×10
-12cm
2/dyne; results obtained are
S11=0.835×10
-12,
S12=-0.328×10
-12, and
S44=0.978×10
-12cm
2/dyne. The rigidity moduli in directions of the three principal crystallographic axes, computed from the above-determind principal elastic parameters, are
G[100]=1.022×10
12,
G[110]=0.605×10
12, and
G[111]=0.533×10
12 dynes/cm
2. Hence, the elastic anisotropies are
E[111]/
E[100]=2.16 and
G[100]/
G[111]=1.92, being nearly the same as those of iron crystals. Further, three principal elastic constants,
Cik, were computed to be
C11=2.44×10
12,
C12=1.58×10
12, and
C44=1.02×10
12 dynes/cm
2; so-called Cauchy's relation
C12=
C44 does not hold.
The elastic moduli of quasi-isotropic polycrystalline nickel were calculated from the elastic constants of single crystals by theories of Voigt, Reuss, Huber and Schmid, and Bruggeman, and the calculated values were compared with the measured ones. It was found that theories of Voigt and, particularly, of Bruggeman gave the most accurate values, which were 2.07×10
12 and 1.92×10
12 dynes/cm
2, respectively, for Young's modulus and 0.78×10
12 and 0.72×10
12 dynes/cm
2, respectively, for the rigidity modulus. Further, Debye's characteristic temperature was calculated by the use of the computed values for Poisson's ratio, 0.315 and 0.329, which were obtained by the theories of Voigt and Bruggeman, and the results were 451 and 432 °K, respectively.
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