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.reciprocal_angle_alpha

Name:
_cell.reciprocal_angle_alpha

Alias:
_cell_reciprocal_angle_alpha

Definition:

   
    The reciprocal of the angle between _cell.length_b and _cell.length_c.
    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_alpha =
    Acosd((Cosd(c.angle_beta)*Cosd(c.angle_gamma)-Cosd(c.angle_alpha))/
    (Sind(c.angle_beta)*Sind(c.angle_gamma)))

Category:
cell








































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