Modulated structures dictionary (msCIF) version 3.2.1
Category ATOM_SITE_ROT_SPECIAL_FUNC
Name:'ATOM_SITE_ROT_SPECIAL_FUNC'
Parent category:
MS_GROUP
Definition:
Data items in the ATOM_SITE_ROT_SPECIAL_FUNC category record
details about the rotational part of the displacive modulation
of a rigid group in a modulated structure when it is not described
by Fourier series. Special functions are effective in some cases
where the modulations are highly anharmonic, since the number of
parameters is drastically reduced. However, they are in general
discontinuous or with discontinuous derivatives and therefore
these functions describe an ideal situation that never occurs
in a real modulated crystal. Up to now, only a few types of
special functions have been used and all of them come from the
JANA2006 suite of programs (Petricek, Dusek & Palatinus, 2014).
Although this approach is far from being general, it has the
advantage that the functions are tightly defined and therefore the
atomic displacements and occupations can be calculated easily. In this
dictionary, only the special functions available in JANA2006 have been
included.
These are:
(1) Sawtooth functions for the displacive modulation of atoms and
rigid groups.
(2) Zig-Zag functions for the displacive modulation of atoms and
rigid groups.
(3) Crenel functions for the occupational modulation of atoms
and rigid groups. Both of these only apply to
one-dimensional modulated structures.
References: Petricek, V., Dusek, M. & Palatinus, L. (2014).
Z. Kristallogr. 229(5), 345-352. DOI 10.1515/zkri-2014-1737
Crystallographic Computing System JANA2006: General features
Petricek, V., Eigner, V., Dusek, M. & Cejchan, A. (2016). Z.
Kristallogr. 231(5), 301-312. DOI 10.1515/zkri-2015-1913
Discontinuous modulation functions and their application for
analysis of modulated structures with the computing system JANA2006
Category is of type Loop
Category key:_atom_site_rot_special_func.atom_site_label
This category contains the following items
- _atom_site_rot_special_func.atom_site_label
- _atom_site_rot_special_func.matrix_seq_id
- _atom_site_rot_special_func.sawtooth
- _atom_site_rot_special_func.sawtooth_ax
- _atom_site_rot_special_func.sawtooth_axyz
- _atom_site_rot_special_func.sawtooth_ay
- _atom_site_rot_special_func.sawtooth_az
- _atom_site_rot_special_func.sawtooth_c
- _atom_site_rot_special_func.sawtooth_w
- _atom_site_rot_special_func.zigzag
- _atom_site_rot_special_func.zigzag_axyz
- _atom_site_rot_special_func.zigzag_c
- _atom_site_rot_special_func.zigzag_w


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