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Application of the maximum-entropy method to powder-diffraction data
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, ch. 4.8, pp. 473-488 [ doi:10.1107/97809553602060000963 ]
... fact that these density maps are strictly positive. The entropy S of a discrete electron density is defined as where the ... the image with the maximum value of the entropy functional S, while one or more constraints of the type Cj = 0 ... the entropy favours smooth maps, since the unconstrained maximum of S [equation (4.8.2) )] is given by the prior density: . ...

Stopping criterion
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, Section 4.8.8.2, pp. 485-486 [ doi:10.1107/97809553602060000963 ]
... refinement using the same data by the relation = 0.68 GoF (van Smaalen & Netzel, 2009 ). References Gull, S. F. & Skilling, J. (1999). MemSys5 User's Manual. ...
     [more results from section 4.8.8 in volume H]

Accurate electron densities
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, Section 4.8.7.6, pp. 484-485 [ doi:10.1107/97809553602060000963 ]
... 28, 184-193.GoogleScholar Nishibori, E., Sunaoshi, E., Yoshida, A., Aoyagi, S., Kato, K., Takata, M. & Sakata, M. (2007). Accurate structure ...
     [more results from section 4.8.7 in volume H]

Observed structure factors
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, Section 4.8.6.4, p. 480 [ doi:10.1107/97809553602060000963 ]
... one unit cell. References Bagautdinov, B., Luedecke, J., Schneider, M. & van Smaalen, S. (1998). Disorder in the crystal structure of Cs2HgCl4 ...
     [more results from section 4.8.6 in volume H]

Valence-only MaxEnt method (Roversi et al., 1998)
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, Section 4.8.5.5, p. 477 [ doi:10.1107/97809553602060000963 ]
Valence-only MaxEnt method (Roversi et al., 1998) 4.8.5.5. Valence-only MaxEnt method (Roversi et al., 1998 ) This method aims for an accurate electron-density study at the last stage of structural analysis. The refined structural parameters are used to create a core electron-density fragment, which then is considered to ...
     [more results from section 4.8.5 in volume H]

Crystallographic MEM equations
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, Section 4.8.4, p. 476 [ doi:10.1107/97809553602060000963 ]
... with a Gaussian distribution of their estimated standard uncertainties (s.u.'s). Therefore the most probable solution is not the map ... density: an exponential model. Acta Cryst. A39, 252-256.GoogleScholar French, S. (1978). A Bayesian three-stage model in crystallography. Acta ... review of practical applications. Acta Cryst. A52, 561-589.GoogleScholar Gull, S. F. & Skilling, J. (1984). Maximum entropy method in ...

Prior densities in MEM calculations
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, Section 4.8.3, pp. 475-476 [ doi:10.1107/97809553602060000963 ]
... 1996 ; Roversi et al., 1998 ; Papoular et al., 2002 ; Palatinus & van Smaalen, 2002 ; van Smaalen et al., 2003 ; Buchter et al., 2011 ). ...

The principle of maximum entropy
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, Section 4.8.2, pp. 474-475 [ doi:10.1107/97809553602060000963 ]
... fact that these density maps are strictly positive. The entropy S of a discrete electron density is defined as where the ... the image with the maximum value of the entropy functional S, while one or more constraints of the type Cj = 0 ... the entropy favours smooth maps, since the unconstrained maximum of S [equation (4.8.2) )] is given by the prior density: . ...

Introduction
Magdysyuk, O.V., van Smaalen, S. and Dinnebier, R.E.  International Tables for Crystallography (2019). Vol. H, Section 4.8.1, pp. 473-474 [ doi:10.1107/97809553602060000963 ]
... 1996) American Physical Society.] References Dinnebier, R. E., Schneider, M., van Smaalen, S., Olbrich, F. & Behrens, U. (1999). Disorder determined by ...

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