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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.reciprocal_angle_gamma
Name:_cell.reciprocal_angle_gamma
Alias:
_cell_reciprocal_angle_gamma
Definition:
The reciprocal of the angle between _cell.length_a and _cell.length_b.
The angles defining the reciprocal cell are related to those in
the real cell by:
cos(recip-alpha)
= [cos(beta)*cos(gamma) - cos(alpha)]/[sin(beta)*sin(gamma)]
cos(recip-beta)
= [cos(gamma)*cos(alpha) - cos(beta)]/[sin(gamma)*sin(alpha)]
cos(recip-gamma)
= [cos(alpha)*cos(beta) - cos(gamma)]/[sin(alpha)*sin(beta)]
Reference: Buerger, M. J. (1942). X-ray Crystallography, p. 360.
New York: John Wiley & Sons Inc.
Type: Real
Units: degrees
The permitted range is 0.0 → 180.0
Evaluation method:
With c as cell
_cell.reciprocal_angle_gamma =
Acosd((Cosd(c.angle_alpha)*Cosd(c.angle_beta)-Cosd(c.angle_gamma))/
(Sind(c.angle_alpha)*Sind(c.angle_beta)))
Category:
cell