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addenda and errata
 | JOURNAL OF APPLIED CRYSTALLOGRAPHY |
Measurement of single-crystal elastic constants by neutron diffraction from polycrystals. Addendum and erratum
aDepartment of Inorganic Chemistry, The University of Sydney, NSW 2006, Australia, and bDepartment of Mechanical Engineering, University of Newcastle, NSW 2308, Australia
*Correspondence e-mail: meehk@cc.newcastle.edu.au
Correction is made to an equation in a paper by Howard & Kisi![[Howard, C. J. & Kisi, E. H. (1999). J. Appl. Cryst. 32, 624-633.]](../../../../../../logos/arrows/j_arr.gif "Howard, C. J. & Kisi, E. H. (1999). J. Appl. Cryst. 32, 624-633.")
[J. Appl. Cryst. (1999), 32, 624–633 ] and additional references are cited.
The equation for ![[\langle s_{13}' \rangle]](teximages/zm9046fi1.gif)
, trigonal (classes 3, 3¯), in Table 1 of Howard & Kisi (1999) has been affected by an error in transcription. The sign of the coefficient of s25 should be negative. That is, the equation should read
![[\eqalign{\langle s_{13}' \rangle =\hskip.2em& [6(H^2 + HK + K^2)L^2(s_{11} + s_{33} - s_{44}) \cr&\! + 2(H^2 +HK +K^2)(4H^2 +4HK + 4K^2 +3L^2)s_{12} \cr&\! + (8H^4 +16H^3K +24H^2K^2 +16HK^3 \cr&\! + 8K^4 + 6H^2L^2 + 6HKL^2 + 6K^2L^2 + 9L^4)s_{13}\cr&\! - 4(3^{1/2}) (2H^3 + 3H^2K - 3HK^2 - 2K^3)Ls_{14} \cr&\! - 36HKL(H+K)s_{25}]/(4H^2 + 4HK + 4K^2 +3L^2)^2.}]](teximages/zm9046fd1.gif)
The authors have recently become aware of related work by Singh et al. (1998), and by Uchida et al. (1996). Singh et al. record expressions for [2GRx (hkl)]-1, GRx being the `X-ray whereas Uchida et al. give the `linear compressibility', ![[\beta (l_1 \,l_2 \,l_3 )]](teximages/zm9046fi4.gif)
, and the `Young modulus', [E(l1 l2 l3)]. These are related to the compliances we give by
![[\displaylines{ [2G_R^x (hkl)]^{-1} = \langle s_{11}'\rangle - \langle s_{13}'\rangle ,\cr \beta (l_1 \,l_2 \,l_3 ) = \langle s_{11}'\rangle + 2\langle s_{13}'\rangle ,\cr [E(l_{1}\,l_{2}\,l_3)]^{-1} = \langle s_{11}'\rangle .}]](teximages/zm9046fd2.gif)
We confirm that there is agreement between our results and those presented by the other groups.
References
Howard, C. J. & Kisi, E. H. (1999). J. Appl. Cryst. 32, 624–633. Web of Science CrossRef CAS IUCr Journals Google Scholar
Singh, A. K., Balasingh, C., Mao, H.-K., Hemley, J. & Shu, J. (1998). J. Appl. Phys. 83, 7567–7575. Web of Science CrossRef CAS Google Scholar
Uchida, T., Funamori, N. & Yagi, T. (1996). J. Appl. Phys. 80, 739–746. CrossRef CAS Web of Science Google Scholar
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