Home The correct symmetry of the six-fold twin in β-Ca11B2Si4O22
Article
Licensed
Unlicensed Requires Authentication

The correct symmetry of the six-fold twin in β-Ca11B2Si4O22

  • Massimo Nespolo EMAIL logo
Published/Copyright: June 16, 2018

Abstract

A recently reported six-fold twin in β-Ca11B2Si4O22 was interpreted as a transformation twin obtained during cooling of a hypothetical hexagonal high temperature phase. The suggested dichromatic symmetry of the twin is incorrect because (1) a six-fold twin cannot be represented by a dichromatic twin point group but by a hexachromatic group; (2) the reported dichromatic group does not exist. The correct hexachromatic twin point group is reported here.

Acknowledgements

Critical remarks by two anonymous reviewers are gratefully acknowledged.

References

[1] S. N. Volkov, V. A. Yukhno, R. S. Bubnova, V. V. Shilovskikh, β-Ca11B2Si4O22: six-fold twinning, crystal structure and thermal expansion. Z. Kristallogr.2018, 233, 379.10.1515/zkri-2017-2112Search in Google Scholar

[2] J. D. Grice, The structure of spurrite, tilleyite and scawtite, and relationships to other silicate-carbonate minerals. Can. Mineral. 2005, 43, 1489.10.2113/gscanmin.43.5.1489Search in Google Scholar

[3] C. M. Midgley, The crystal structure of β dicalcium silicate. Acta Crystallogr. 1952, 5, 307.10.1107/S0365110X52000964Search in Google Scholar

[4] M. Nespolo, Twin point groups and the polychromatic symmetry of twins. Z. Kristallogr. 2004, 219, 57.10.1524/zkri.219.2.57.26317Search in Google Scholar

[5] M. Nespolo, Tips and traps on crystal twinning: how to fully describe your twin. Cryst. Res. Techn. 2015, 50, 362.10.1002/crat.201400422Search in Google Scholar

[6] M. Nespolo, Unravelling the diffraction pattern of a twin. I. Fundamentals. Z. Kristallogr. 2016, 231, 553.10.1515/zkri-2016-1945Search in Google Scholar

Received: 2018-05-03
Accepted: 2018-05-25
Published Online: 2018-06-16
Published in Print: 2018-11-27

©2018 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 22.10.2025 from https://www.degruyterbrill.com/document/doi/10.1515/zkri-2018-2094/html
Scroll to top button