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_TWIN_[]
CIF
Data items in the TWIN category record general details about
the nature of the twinning in the sample. Terminology for twin dataname definitions was taken directly from: "International Union of Crystallography Commission on Mathematical and Theoretical Crystallography Research themes: Crystal twinning" by Massimo Nespolo, February 3, 2009. http://www.crystallography.fr/mathcryst/twins.htm .
Example:
_twin_formation_mechanism gt _twin_dimensionality triperiodic _twin_morphology polysynthetic _twin_special_details ; This is an example of a twin in space group P 32 by the 2 x,x,0 twin operation. ;
loop_ _twin_individual_id _twin_individual_mass_fraction_refined _twin_individual_twin_lattice_type _twin_individual_twin_matrix_11 _twin_individual_twin_matrix_12 _twin_individual_twin_matrix_13 _twin_individual_twin_matrix_21 _twin_individual_twin_matrix_22 _twin_individual_twin_matrix_23 _twin_individual_twin_matrix_31 _twin_individual_twin_matrix_32 _twin_individual_twin_matrix_33 1 0.545(2) ref 1 0 0 0 1 0 0 0 1 2 0.455(2) mt_II 0 1 0 1 0 0 0 0 -1
loop_ _twin_refln_datum_id _twin_refln_individual_id _twin_refln_index_h _twin_refln_index_k _twin_refln_index_l _twin_refln_F_squared_calc _twin_refln_F_squared_meas _twin_refln_F_squared_sigma _twin_refln_include_status 1 1 -1 1 -32 40.17 55.86 7.39 o 1 2 1 -1 32 40.17 55.86 7.39 o 2 1 0 1 -32 125.83 145.63 9.36 o 2 2 1 0 32 125.83 145.63 9.36 o 3 1 1 1 -32 10.33 30.89 7.39 o 3 2 1 1 32 10.33 30.89 7.39 o 4 1 -3 2 -32 28.26 26.84 9.47 o 4 2 2 -3 32 28.26 26.84 9.47 o 5 1 -2 2 -32 4.31 13.21 9.78 o 5 2 2 -2 32 4.31 13.21 9.78 o 6 1 -1 2 -32 10.71 17.48 9.88 o 6 2 2 -1 32 10.71 17.48 9.88 o 7 1 0 2 -32 13.94 37.66 10.51 o 7 2 2 0 32 13.94 37.66 10.51 o 8 1 1 2 -32 58.60 75.41 9.88 o 8 2 2 1 32 58.60 75.41 9.88 o 9 1 -2 3 -32 27.75 41.40 8.01 o 9 2 3 -2 32 27.75 41.40 8.01 o 10 1 -1 3 -32 59.22 65.53 8.11 o 10 2 3 -1 32 59.22 65.53 8.11 o
_twin_dimensionality
CIF
The degree of overlap between the twin lattices. Most twin lattice symmetry (TLS) and twin lattice quasi-symmetry (TLQS) twins as defined by Donnay and Donnay will be triperiodic.
Reference: Donnay, G. & Donnay, J. D. H. (1974). Can. Mineral. 12, 422-425.
_twin_formation_mechanism
CIF
A description of the method of twin formation.
_twin_morphology
CIF
The physical relationship of the different twins to one another.
_twin_special_details
CIF
Information about twinning in the sample not contained in other data items.
Example:
Individuals 3 and 4 arise from form (I) following an enantiotropic phase transition by sudden cooling in a cryostat to 173K.
_twin_individual_twin_lattice_type
CIF
Identification of the symmetry relationships between the twin lattices as described in International Tables for Crystallography (2004), Vol. C, Chapter 1.3. The twin with the identity matrix should be denoted as 'ref'.
_TWIN_INDIVIDUAL_[]
CIF
Data items in the TWIN_INDIVIDUAL category describe properties
of each twinned individual, and the symmetry relationships between the individuals.
_twin_individual_id
CIF
The unique identifier for this twin individual. The twin for which _twin_individual_twin_matrix_ is the identity matrix is called the reference twin. It is recommended that the reference twin be labelled '1'.
_twin_individual_mass_fraction_refined
CIF
The refined mass fraction of this twin individual; the sum of all mass fractions must equal unity within the limits of experimental uncertainty.
_twin_individual_twin_matrix
CIF
Data names: _twin_individual_twin_matrix_11 _twin_individual_twin_matrix_12 _twin_individual_twin_matrix_13 _twin_individual_twin_matrix_21 _twin_individual_twin_matrix_22 _twin_individual_twin_matrix_23 _twin_individual_twin_matrix_31 _twin_individual_twin_matrix_32 _twin_individual_twin_matrix_33
Elements of the matrix U that multiplies the Miller indices h,k,l
of the reference twin to give the Miller indices h',k',l',
of the twin specified by _twin_individual_id
(h' k' l') = U (h k l )
It follows that the reference twin must have U = I, the identity matrix.
_TWIN_REFLN_[]
CIF
Items in the TWIN_REFLN category tabulate the calculated values of F^2^ for each peak observed in the diffraction pattern, together with the measured value of F^2^. The calculated F^2^ for an observed peak is a weighted sum of the contribution of all the twin components. The calculated structure factor for each twin contribution can also be given.
Examples:
loop_ _twin_refln_datum_id _twin_refln_individual_id _twin_refln_index_h _twin_refln_index_k _twin_refln_index_l _twin_refln_F_squared_meas _twin_refln_F_squared_sigma _twin_refln_include_status
1 1 1 0 0 1.03 0.18 o 1 3 1 0 0 1.03 0.18 o 2 1 2 0 0 1290.01 55.59 o 2 3 2 0 0 1290.01 55.59 o 3 1 3 0 0 2.59 0.42 o 3 3 3 0 0 2.59 0.42 o 4 1 4 0 0 30.98 1.47 o 4 3 4 0 0 30.98 1.47 o 5 1 5 0 0 1.97 0.96 o 5 3 5 0 0 1.97 0.96 o 6 1 6 0 0 1.55 1.14 o 6 2 6 1 2 1.55 1.14 o 6 3 6 0 0 1.55 1.14 o 6 4 6 1 2 1.55 1.14 o 7 1 -6 1 0 0.47 1.06 o 7 2 6 2 2 0.47 1.06 o
loop_ _twin_refln_datum_id _twin_refln_individual_id _twin_refln_index_h _twin_refln_index_k _twin_refln_index_l _twin_refln_F_squared_calc _twin_refln_F_squared_meas _twin_refln_F_squared_sigma _twin_refln_include_status
620 1 1 -6 -3 200.22 207.88 3.35 o 621 1 -1 6 3 225.34 224.15 3.62 o 622 2 -1 6 3 184.64 196.34 3.95 o 623 1 -1 -6 -3 173.28 181.13 3.06 o 624 2 -1 -6 -3 143.40 152.05 2.78 o 625 1 1 6 3 204.45 204.38 4.48 o 625 2 3 -6 1 204.45 204.38 4.48 o 626 1 3 -6 -3 240.97 241.19 3.75 o 626 2 -3 6 3 240.97 241.19 3.75 o 627 1 3 6 3 288.54 281.53 4.31 o 627 2 -3 -6 -3 288.54 281.53 4.31 o 628 1 -5 -6 -3 179.56 176.35 5.36 o 628 2 -3 6 5 179.56 176.35 5.36 o 629 1 5 6 3 235.04 238.84 4.06 o 629 2 -5 -6 -3 235.04 238.84 4.06 o
_twin_refln_datum_id
CIF
This item serves to identify an observed diffraction peak. It may include contributions from one or more twin components and so may appear more than once in the list. The values of _twin_refln_F_squared_calc and _twin_refln_F_squared_meas indexed by _twin_refln_datum_id include the contributions from all the twins. The diffraction peak is indexed by _twin_refln_index_h, *_k and *_l referred to the cell of the twin component identified by _twin_refln_individual_id.
The list reference includes both _twin_refln_datum_id and _twin_refln_individual_id. The combination of these two items may only appear once in a list.
_twin_refln_F_squared_calc
CIF
Calculated value for the overall squared structure factors (in
electrons squared for X-ray diffraction) arising from all
the twin contributions to the peak defined by _twin_refln_datum_id.
The total contribution from all twins to a single observed
reflection is modelled according to the method of Pratt, Coyle
and Ibers as follows:
_twin_refln_F_squared_calc = osf * Sum (mf * _refln_F_squared_calc)
where osf is the overall scale factor, mf is the mass fraction, and the sum is taken over all the twin components that contribute to this diffraction peak.
Reference: Pratt, C. S., Coyle, B. A. & Ibers, J. A. (1971). J. Chem. Soc. A, pp. 2146-2151.
_twin_refln_F_squared_calc_individual
CIF
Contribution of the twin identified by _twin_refln_individual_id to _twin_refln_F_squared_calc.
_twin_refln_F_squared_calc_individual = osf * mf * _refln_F_squared_calc
where osf is the overall scale factor, mf is the mass factor. For X-ray diffraction the units are electrons squared.
_twin_refln_F_squared_meas
CIF
The observed value F^2^ of the peak referenced by
_twin_refln_datum_id. This is typically the observed peak
intensity after Lorentz and polarization corrections.
_twin_refln_F_squared_sigma
CIF
Standard uncertainty of _twin_refln_F_squared_meas
_twin_refln_include_status
CIF
A symbol indicating how the reflection is treated during refinement.
_twin_refln_index
CIF
Data names: _twin_refln_index_h _twin_refln_index_k _twin_refln_index_l
Miller indices of a reflection from the twin component
labelled by _twin_refln_individual_id.
The values of the Miller indices must correspond
to the cell defined for this twin component.
_twin_refln_individual_id
CIF
The unique identifier of the twin individual
whose Miller indices are given in _twin_refln_index_.
The ID must match a _twin_individual_id in the
TWIN_INDIVIDUAL category.
The list reference includes both _twin_refln_datum_id and _twin_refln_individual_id. The combination of these two items may only appear once in a list.
Revision history
2012-07-25 Created from Victor Young's draft text. JRH
2012-08-20 Added category definitions and corrected _list for
_twin_lattice_type. JRH
2012-08-21 cosmetic changes such as arranging the items
alphabetically and added queries for VY. I.D.Brown
2012-08-28 Inserted changes from V. Young as per I.D. Brown's
comments; removed _example_detail for twin category; corrected
_list_reference for _refln_ category; added explanation for
_refln_F_squared_ . JRH
2012-08-31 Added _twin_special_details with example from VY. JRH
2013-01-17 Corrected equation defining F_calc. JRH
2013-01-18 Moved _refln_ items into separate _twin_refln category and
rewrote definitions for clarity.
2013-03-13 Added missing _twin_refln_index_ . JRH
2013-03-25 IDB: Added enumeration range to
_twin_individual__mass_fraction_refined and rewrote
the definition
Rewrote the definition of _twin_individual_twin_matrix
Raised queries about what the _twin_refln category
is actually recording.
2013-05-09 JRH: corrected _twin_refln_F_calc equation; added
_list_reference to _twin_refln_h, *_k, *_l definition;
fiddled with _twin_individual_twin_id definition text
2013-06-26 JRH,VY: added further example to TWIN category
2013-06-26 some syntax and formatting errors corrected (BM)
2013-06-27 IDB Changed _twin_refln_observed_status to _twin_refln_include_status Added the twin_contibution category Reworked the twin_refln category to change the list reference to _twin_refln_datum_id (name changed from _*_datum_index Made some improvements to the definitions. Converted space group symbols to CIF conventions Arranged items in alphabetic order to conform to other dictonaries.
2013-07-11 JRH edited examples to reflect proposed changes from IDB
2013-07-29 VGY modified examples to comply with IDB's suggested changes
(see below). These are within comments, but not yet integrated
into the text of the document. Added nmt for non-merohedral
twin into data_twin_lattice_type. Somehow this was removed.
2013-08-16 VGY made corrections as directed by JH in examples 2 and 3.
Removed work for these examples from commented text and
integrated into document. Updated example 1 to include explicit
_twin_contribution items for individual 2.
2013-09-02 JRH edited in latest examples from VGY after email discussion
2013-09-03 JRH: move lattice_twin_type into twin_individual category; add
'ref' lattice twin type. Changed _twin_contribution_twin_id to
_twin_contribution_individual_id
2013-09-03 VGY: improve example to include single-contributor reflections
coming from different individuals.
2013-09-13 IDB: Changed _refln_twin to _twin_refln, improved wording of some definitions, corrected syntax errors, added _twin_refln_include_status, removed '_mandatory yes' from _twin_refln_index_ Rearranged the order of items in some examples to put the list reference first.
2013-11-13 IDB: Following comments from Tony Linden and George Sheldrick
an alternative version of twin_refln is proposed.
If this is adopted _twin_contribution would be dropped.
2013-12-04 IDB: The alternative twin_refln is adopted and
twin_contribution is deleted.
2012-12-04 Minor spelling corrections,removal of old twin_contribution
material and example clarification added. VGY
2012-12-05 IDB: Made changes in the description of the example under the twin category to reflect the deletion of the twin_contribution category. Removed '_twin_contribution_individual_id' from _link_list_child in the definition of _twin_individual_id. Modified the description of the twin_refln category to reflect the merging of twin_contribution with twin_refln. Added r to enumeration list of _twin_refln_include_status.
2014-02-14 BMcM and NJA: minor editing for clean release version