HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Derivative structures based on the sphere packing Derivative structures based on the sphere packing

Abstract : A significant number of non-molecular crystal structures can be described as derivative structures of sphere packings, with variable degrees of distortion. The undistorted sphere packing model with all the cavities completely occupied is the aristotype, from which an idealized model of the real structure can be obtained as a substitution, undistorted hettotype. The real structure can then be seen as a distorted derivative of the substitution hettotype. In this article we revive the symbolism introduced by Zoltai and Stout to describe the substitution hettotypes and compare these with the corresponding real structures. In most cases, the distortions are small or even negligible. For some structures, a significant departure from the substitution hettotype is observed, which however does not prevent to adopt the same description as a unifying scheme.
Complete list of metadata

Cited literature [69 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/hal-01744172
Contributor : Massimo Nespolo Connect in order to contact the contributor
Submitted on : Tuesday, March 27, 2018 - 11:00:46 AM
Last modification on : Wednesday, November 3, 2021 - 7:08:47 AM
Long-term archiving on: : Thursday, September 13, 2018 - 9:29:06 AM

File

Derivative structures based on...
Files produced by the author(s)

Identifiers

Collections

Citation

Akihiro Umayahara, Massimo Nespolo. Derivative structures based on the sphere packing Derivative structures based on the sphere packing. Zeitschrift für Kristallographie, De Gruyter, 2018, 233 (3-4), pp.179-203. ⟨10.1515/zkri-2017-2125⟩. ⟨hal-01744172⟩

Share

Metrics

Record views

73

Files downloads

127