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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 ]
and bias correction in phase-improvement calculations . Acta Cryst. D 55, 1555–1567. Google Scholar Cowtan, K. D. & Main, P. (1993). Improvement of macromolecular electron-density maps by the simultaneous application of real ...

Histogram matching
Zhang, K. Y. J., Cowtan, K. D. and Main, P., International Tables for Crystallography (2012). Vol. F, Section 15.1.2.2, pp. 388-390 [ doi:10.1107/97809553602060000847 ]
from equations (15.1.2.16) and (15.1.2.19), where This method is adequate for scaling observed structure factors at any resolution. References Cowtan, K. D. & Main, P. (1993). Improvement ...
     [more results from section 15.1.2 in volume F]

The system of nonlinear constraint equations
Zhang, K. Y. J., Cowtan, K. D. and Main, P., International Tables for Crystallography (2012). Vol. F, Section 15.1.5.1, pp. 396-396 [ doi:10.1107/97809553602060000847 ]
the Newton–Raphson technique with fast Fourier transforms, as described in the next section (Main, 1990 b). References Main, P. (1990 b). The use of Sayre's equation with constraints for the direct determination ...
     [more results from section 15.1.5 in volume F]

Resolution extrapolation
Zhang, K. Y. J., Cowtan, K. D. and Main, P., International Tables for Crystallography (2012). Vol. F, Section 15.1.4.4, pp. 395-396 [ doi:10.1107/97809553602060000847 ]

     [more results from section 15.1.4 in volume F]

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, pp. 398-398 [ doi:10.1107/97809553602060000847 ]


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 ]
881–882. Google Scholar Zhang, K. Y. J., Cowtan, K. D. & Main, P. (1997). Combining constraints for electron density modification. In Macromolecular Crystallography, edited by C. W. Carter & R. M. Sweet, Vol. 277, pp. 53–64. New ...

Introduction
Zhang, K. Y. J., Cowtan, K. D. and Main, P., International Tables for Crystallography (2012). Vol. F, Section 15.1.1, pp. 385-385 [ doi:10.1107/97809553602060000847 ]


Reciprocal-space interpretation of density modification
Zhang, K. Y. J., Cowtan, K. D. and Main, P., International Tables for Crystallography (2012). Vol. F, Section 15.1.3, pp. 393-394 [ doi:10.1107/97809553602060000847 ]
Main, P. & Rossmann, M. G. (1966). Relationships among structure factors due to identical molecules in different crystallographic environments . Acta Cryst. 21, 67–72. Google Scholar International Tables ...

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 ]
A 48, 301–312. Google Scholar Collaborative Computational Project, Number 4 (1994). The CCP4 suite: programs for protein crystallography . Acta Cryst. D 50, 760–763. Google Scholar Cowtan, K. D. & Main, P. (1996 ...

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 ]
be provided. References Brünger, A. T. (1992). X-PLOR. Version 3.1. A system for X-ray crystallography and NMR. Yale University Press, New Haven. Google Scholar Cowtan, K. D. & Main, P. (1998 ...

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