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Rotation functions
International Tables for Crystallography (2012). Vol. F, ch. 13.2, pp. 340-346 [ doi:10.1107/97809553602060000840 ]
... truncating the summations on l and n to reasonable values (Navaza, 1993). The upper limit for l is of the ... and (13.2.3.8)], the calculations are organized as follows (Dodson, 1985; Navaza, 1993): (1) Given the search and the target diffraction data ... to molecular replacement. Acta Cryst. D51, 740-748. Dodson, E. J. (1985). In Proceedings of the Daresbury Study Weekend. ...
Concluding remarks
International Tables for Crystallography (2012). Vol. F, Section 13.2.6, p. 344 [ doi:10.1107/97809553602060000840 ]
Concluding remarks 13.2.6. Concluding remarks Each formulation of the rotation function described above has its advantages and disadvantages. The direct-space formulation [equation (13.2.3.3)] offers the possibility of modifying the Patterson function or selecting the strongest peaks to be used in the overlap integral. Also, the domain of integration may have ...
Other rotation functions
International Tables for Crystallography (2012). Vol. F, Section 13.2.5, p. 344 [ doi:10.1107/97809553602060000840 ]
Other rotation functions 13.2.5. Other rotation functions The rotation function was hitherto described in terms of self- and cross-Patterson vectors. This is perhaps inevitable in the self-rotation case, but the problem of determining the absolute orientation of the subunits when a model structure is available may be formulated in ...
The locked rotation function
International Tables for Crystallography (2012). Vol. F, Section 13.2.4, pp. 343-344 [ doi:10.1107/97809553602060000840 ]
... M. G., Ford, G. C., Watson, H. C. & Banaszak, L. J. (1972). Molecular symmetry of glyceraldehyde-3-phosphate dehydrogenase. J. Mol. Biol. 64, 237-245. Tong, L. & Rossmann, M. G. ...
Symmetry properties of the rotation function
International Tables for Crystallography (2012). Vol. F, Section 13.2.3.4, p. 343 [ doi:10.1107/97809553602060000840 ]
Symmetry properties of the rotation function 13.2.3.4. Symmetry properties of the rotation function The overlap integral that defines may be calculated by rotating instead of , but with the inverse rotation, This property enables the analysis of the consequence of the symmetries of the Patterson functions upon the rotation function (Tollin et ...
[more results from section 13.2.3 in volume F]
The metric of the rotation group
International Tables for Crystallography (2012). Vol. F, Section 13.2.2.1, p. 341 [ doi:10.1107/97809553602060000840 ]
The metric of the rotation group 13.2.2.1. The metric of the rotation group The idea of distance between rotations is necessary for a correct formulation of the problem of sampling and for plotting functions of rotations (Burdina, 1971; Lattman, 1972). It can be demonstrated that the quantity defines a metric ...
[more results from section 13.2.2 in volume F]
Overview
International Tables for Crystallography (2012). Vol. F, Section 13.2.1, p. 340 [ doi:10.1107/97809553602060000840 ]
Overview 13.2.1. Overview We will discuss a technique to find either the relative orientations of homologous but independent subunits connected by noncrystallographic symmetry (NCS) elements or the absolute orientations of these subunits if the structure of a similar molecule or fragment is available. The procedure makes intensive use of properties of ...
Rotation functions
International Tables for Crystallography (2012). Vol. F, ch. 13.2, pp. 340-346 [ doi:10.1107/97809553602060000840 ]
Rotation functions The mathematical procedures required to find the relative orientations of the independent but homologous molecules within a crystal, or their absolute orientations if the structure of a similar molecule is known, are discussed in detail. They correspond to the rotational search employed in the molecular-replacement method. This appendix ...
International Tables for Crystallography (2012). Vol. F, ch. 13.2, pp. 340-346 [ doi:10.1107/97809553602060000840 ]
... truncating the summations on l and n to reasonable values (Navaza, 1993). The upper limit for l is of the ... and (13.2.3.8)], the calculations are organized as follows (Dodson, 1985; Navaza, 1993): (1) Given the search and the target diffraction data ... to molecular replacement. Acta Cryst. D51, 740-748. Dodson, E. J. (1985). In Proceedings of the Daresbury Study Weekend. ...
Concluding remarks
International Tables for Crystallography (2012). Vol. F, Section 13.2.6, p. 344 [ doi:10.1107/97809553602060000840 ]
Concluding remarks 13.2.6. Concluding remarks Each formulation of the rotation function described above has its advantages and disadvantages. The direct-space formulation [equation (13.2.3.3)] offers the possibility of modifying the Patterson function or selecting the strongest peaks to be used in the overlap integral. Also, the domain of integration may have ...
Other rotation functions
International Tables for Crystallography (2012). Vol. F, Section 13.2.5, p. 344 [ doi:10.1107/97809553602060000840 ]
Other rotation functions 13.2.5. Other rotation functions The rotation function was hitherto described in terms of self- and cross-Patterson vectors. This is perhaps inevitable in the self-rotation case, but the problem of determining the absolute orientation of the subunits when a model structure is available may be formulated in ...
The locked rotation function
International Tables for Crystallography (2012). Vol. F, Section 13.2.4, pp. 343-344 [ doi:10.1107/97809553602060000840 ]
... M. G., Ford, G. C., Watson, H. C. & Banaszak, L. J. (1972). Molecular symmetry of glyceraldehyde-3-phosphate dehydrogenase. J. Mol. Biol. 64, 237-245. Tong, L. & Rossmann, M. G. ...
Symmetry properties of the rotation function
International Tables for Crystallography (2012). Vol. F, Section 13.2.3.4, p. 343 [ doi:10.1107/97809553602060000840 ]
Symmetry properties of the rotation function 13.2.3.4. Symmetry properties of the rotation function The overlap integral that defines may be calculated by rotating instead of , but with the inverse rotation, This property enables the analysis of the consequence of the symmetries of the Patterson functions upon the rotation function (Tollin et ...
[more results from section 13.2.3 in volume F]
The metric of the rotation group
International Tables for Crystallography (2012). Vol. F, Section 13.2.2.1, p. 341 [ doi:10.1107/97809553602060000840 ]
The metric of the rotation group 13.2.2.1. The metric of the rotation group The idea of distance between rotations is necessary for a correct formulation of the problem of sampling and for plotting functions of rotations (Burdina, 1971; Lattman, 1972). It can be demonstrated that the quantity defines a metric ...
[more results from section 13.2.2 in volume F]
Overview
International Tables for Crystallography (2012). Vol. F, Section 13.2.1, p. 340 [ doi:10.1107/97809553602060000840 ]
Overview 13.2.1. Overview We will discuss a technique to find either the relative orientations of homologous but independent subunits connected by noncrystallographic symmetry (NCS) elements or the absolute orientations of these subunits if the structure of a similar molecule or fragment is available. The procedure makes intensive use of properties of ...
Rotation functions
International Tables for Crystallography (2012). Vol. F, ch. 13.2, pp. 340-346 [ doi:10.1107/97809553602060000840 ]
Rotation functions The mathematical procedures required to find the relative orientations of the independent but homologous molecules within a crystal, or their absolute orientations if the structure of a similar molecule is known, are discussed in detail. They correspond to the rotational search employed in the molecular-replacement method. This appendix ...
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