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Phase improvement by iterative density modification
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, ch. 15.1, pp. 385-400 [ doi:10.1107/97809553602060000847 ]
... unit cell, including both the protein and the solvent. Zhang & Main (1988) systematically examined the electron-density histogram of several proteins ... taken from any known structure at the same resolution (Zhang & Main, 1988, 1990a). The ideal electron-density histogram can also be predicted by an analytical formula (Lunin & Skovoroda, 1991; Main, 1990a). The method adopted by Main (1990a) represents ...

Averaging
Cowtan, K. D., Zhang, K. Y. J. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.3.5.6, pp. 411-412 [ doi:10.1107/97809553602060000849 ]
... to obtain the density value at an arbitrary coordinate (Cowtan & Main, 1998). This approach gives very accurate interpolation from a ... for the refinement of averaging operators. References Cowtan, K. D. & Main, P. (1998). Miscellaneous algorithms for density modification. Acta Cryst. ...
     [more results from section 15.3.5 in volume F]

Phase-extension schemes
Cowtan, K. D., Zhang, K. Y. J. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.3.4.3, pp. 409-410 [ doi:10.1107/97809553602060000849 ]
Phase-extension schemes 15.3.4.3. Phase-extension schemes When performing phase extension, the order in which the structure factors are included will affect the final accuracy of the extended phases. The phases obtained from previous cycles of phase extension will be included in the calculation of new phases for the unphased structure ...
     [more results from section 15.3.4 in volume F]

Preparation of input data
Cowtan, K. D., Zhang, K. Y. J. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.3.3, pp. 407-408 [ doi:10.1107/97809553602060000849 ]
... mask will be calculated by a local-correlation approach (Cowtan & Main, 1998; Vellieux et al., 1995). If multiple domains are ... and NMR. Yale University Press, New Haven. Cowtan, K. D. & Main, P. (1998). Miscellaneous algorithms for density modification. Acta Cryst. ...

Program operation
Cowtan, K. D., Zhang, K. Y. J. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.3.2, p. 407 [ doi:10.1107/97809553602060000849 ]
... International Tables for Crystallography (2012). Vol. F, ch. 15.3, p. 407 International Union of Crystallography 2012 | home | resources | advanced search ...

Introduction
Cowtan, K. D., Zhang, K. Y. J. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.3.1, p. 407 [ doi:10.1107/97809553602060000849 ]
... International Tables for Crystallography (2012). Vol. F, ch. 15.3, p. 407 International Union of Crystallography 2012 | home | resources | advanced search ...

DM/DMMULTI software for phase improvement by density modification
Cowtan, K. D., Zhang, K. Y. J. and Main, P.  International Tables for Crystallography (2012). Vol. F, ch. 15.3, pp. 407-412 [ doi:10.1107/97809553602060000849 ]
... mask will be calculated by a local-correlation approach (Cowtan & Main, 1998; Vellieux et al., 1995). If multiple domains are ... somewhat prone to producing grossly overestimated figures of merit (Cowtan & Main, 1996). Users should be aware of this. In general ... equation calculation adds another level of complexity, described in Zhang & Main (1990b). Skeletonization imposes the protein histogram and solvent ...

Example
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.7, pp. 398-399 [ doi:10.1107/97809553602060000847 ]
... 210, 881-882. Zhang, K. Y. J., Cowtan, K. D. & Main, P. (1997). Combining constraints for electron density modification. In Macromolecular ...

Statistical density-modification methods
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.6, p. 398 [ doi:10.1107/97809553602060000847 ]
... International Tables for Crystallography (2012). Vol. F, ch. 15.1, p. 398 International Union of Crystallography 2012 | home | resources | advanced search ...

The diagonal approximation
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.5.2.3, pp. 397-398 [ doi:10.1107/97809553602060000847 ]
... of solution to the electron-density shift in equation (15.1.5.4) (Main, 1990b). As with the full-matrix calculation, it can ... approximation much faster than by the full-matrix method. References Main, P. (1990b). The use of Sayre's equation with ...
     [more results from section 15.1.5 in volume F]

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