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This study deals with the tensor-averaging problem, with the relationship between single-crystal and polycrystalline elastic constants. For polycrystalline copper, sound velocities were measured within a 0.1% inaccuracy at T=295K. Comparison with average values from twelve previous studies shows agreement within 0.2% in v t , 0.1% in v e , and 0.1% in v 1 . Among eight elastic-constant averaging methods, the Hershey-Kroner-Eshelby method works best for copper's polycrystalline and single-crystalline Debye temperatures differ by about 9K.
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Hassel Ledbetter (1980) studied this question.
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