An X-ray diffractometer using mirage diffraction. Erratum

Fukamachi, T.; Jongsukswat, S.; Ju, D.; Negishi, R.; Hirano, K.; Kawamura, T.

doi:10.1107/S1600576714026028

addenda and errata

JOURNAL OF
APPLIED
CRYSTALLOGRAPHY

ISSN: 1600-5767

Volume 48| Part 1| February 2015| Page 312

https://doi.org/10.1107/S1600576714026028

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An X-ray diffractometer using mirage diffraction. Erratum

Tomoe Fukamachi,^a ^* Sukswat Jongsukswat,^a Dongying Ju,^a Riichirou Negishi,^a Keiichi Hirano ^b and Takaaki Kawamura ^c

^aSaitama Institute of Technology, Fukaya, Saitama 369-0293, Japan, ^bInstitute of Material Structure Science, KEK-PF, High Energy Accelerator Research Organization, Tsukuba, Ibaraki 305-0801, Japan, and ^cUniversity of Yamanashi, Kofu 400-8510, Japan
^*Correspondence e-mail: [email protected]

(Received 6 November 2014; accepted 27 November 2014)

Errors in the article by Fukamachi, Jongsukswat, Ju, Negishi, Hirano & Kawamura [J. Appl. Cryst. (2014), 47, 1267–1272] are corrected.

Keywords: mirage diffraction; mirage fringes; interference fringes; X-ray difractometers; monochromators; dynamical theory of X-ray diffraction.

Similar articles

In the article by Fukamachi et al. (2014 ), there are errors in Fig. 2 (§2, p. 1268) and in equations (12)–(16) (§4, p. 1270–1271).

The equations should read

$[\delta W{X_0} = {{\left| {\delta {{\bf{K}}_E}} \right|} \over {\cos {\theta _{\rm{B}}}}}, \eqno (12)]$

$[{{\delta E} \over E} = {{\left| {{\chi _h}} \right|} \over 2}\delta W , \eqno (13)]$

$[\delta E = E\,\delta \alpha \,{{\sin 2{\theta _{\rm{B}}}} \over 2} , \eqno (14)]$

$[\delta E = {{|{\chi _h}|E} \over 2}\left[ {1 - {{\left( {1 + {{{\beta ^2}{x^2}} \over 4}} \right)}^{1/2}}} \right] \eqno (15)]$

and

$[{\rm d}E = {{|{\chi _h}|} \over 2}{\left( {1 + {{{\beta ^2}{x^2}} \over 4}} \right)^{ - 1/2}}{{{\beta ^2}} \over 4}Ex\,{\rm d}x . \eqno (16)]$

Then, rather than the value of 11 meV for |δE| in the first line of the left column on p. 1271, the value should read 10 meV. Rather than −3.0, −5.0, −6.7 and −7.9 meV for the values of $[\delta E]$ in Table 1, they should read −2.7, −4.6, −6.2 and −7.3 meV, respectively. In spite of these corrections, the conclusions are not affected.

As the last sentence of the caption of Fig. 2 of Fukamachi et al. (2014), the following sentence should be added: $[| {\delta {{\bf{K}}_E}} |]$ is the distance between a₂ and a₄. Fig. 2 of Fukamachi et al. (2014) is updated as Fig. 1 in the current article to reflect the correction.

Figure 1
As the last sentence of the caption of Fig. 2 of Fukamachi et al. (2014

), the following sentence should be added: $[| {\delta {{\bf{K}}_E}} |]$ is the distance between a₂ and a₄.

References

Fukamachi, T., Jongsukswat, S., Ju, D., Negishi, R., Hirano, K. & Kawamura, T. (2014). J. Appl. Cryst. 47, 1267–1272. Web of Science CrossRef CAS IUCr Journals Google Scholar

This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.

JOURNAL OF
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CRYSTALLOGRAPHY

ISSN: 1600-5767

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https://doi.org/10.1107/S1600576714026028

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An X-ray diffractometer using mirage diffraction. Erratum

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addenda and errata