P <sup>3</sup> , linearizing unit-cell parameters

The space P<sup>3</sup> is introduced, derived from unit-cell axial lengths and interaxial angles. P<sup>3</sup> enables linearization of unit-cell parameters using three polar coordinate bases. P<sup>3</sup> serves as a compact, interpretable alternative to more abstract spaces such as G<sup>6</sup> and S<sup>6</sup>.

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Publication Details

Journal
Acta Crystallographica Section A Foundations and Advances
Published
2026-01-29
DOI
https://doi.org/10.1107/s2053273326000410
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

P 3 , linearizing unit-cell parameters

Lawrence C. Andrews, H. J. Bernstein
Acta Crystallographica Section A Foundations and Advances
Mathematics and Applications
article

P 3 , linearizing unit-cell parameters

Lawrence C. Andrews, H. J. Bernstein
article en

Abstract

The space P<sup>3</sup> is introduced, derived from unit-cell axial lengths and interaxial angles. P<sup>3</sup> enables linearization of unit-cell parameters using three polar coordinate bases. P<sup>3</sup> serves as a compact, interpretable alternative to more abstract spaces such as G<sup>6</sup> and S<sup>6</sup>.

Acta Crystallographica Section A Foundations and AdvancesVol. 82(2)
Brookhaven National Laboratory (US), Ronin Institute (US)
Openalex Percentile: Top 45%
Mathematics and Applications
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