International
Tables for
Crystallography
Volume G
Definition and exchange of crystallographic data
Edited by J. R. Hester and B. McMahon

International Tables for Crystallography (2026). Vol. G. Early view chapter
https://doi.org/10.1107/97809553602060001011

Chapter 4.2 Core dictionary (coreCIF)


Index

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








































to end of page
to top of page