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International
Tables for Crystallography Volume G Definition and exchange of crystallographic data Edited by J. R. Hester and B. McMahon © International Union of Crystallography 2026 |
International Tables for Crystallography (2026). Vol. G. Early view chapter
https://doi.org/10.1107/97809553602060001011 Chapter 4.2 Core dictionary (coreCIF) |
Core dictionary version 3.3.0
_cell.orthogonal_matrix
Name:_cell.orthogonal_matrix
Definition:
Orthogonal matrix of the crystal unit cell. Definition uses
Rollett's axial assignments with cell vectors a,b,c aligned
with orthogonal axes X,Y,Z so that c||Z and b lies in the YZ plane.
Reference: Rollett, J. S. (1965). Computing Methods in Crystallography,
p. 22. Oxford: Pergamon Press.
Type: Real
Values appear in Matrix context.
Dimension: [3,3]
Units: angstroms
Evaluation method:
With c as cell
_cell.orthogonal_matrix = [
[ c.length_a*Sind(c.angle_beta)*Sind(c.reciprocal_angle_gamma), 0,
0 ], [
-c.length_a*Sind(c.angle_beta)*Cosd(c.reciprocal_angle_gamma),
c.length_b*Sind(c.angle_alpha), 0 ], [
c.length_a*Cosd(c.angle_beta),
c.length_b*Cosd(c.angle_alpha), c.length_c ]]
Category:
cell