International
Tables for
Crystallography
Volume F
Crystallography of biological macromolecules
Edited by M. G. Rossmann and E. Arnold

International Tables for Crystallography (2006). Vol. F. ch. 25.2, p. 697

Section 25.2.1.4. Fourier-map calculations

W. Fureya*

25.2.1.4. Fourier-map calculations

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All Fourier maps, including native- and difference-Patterson maps, are computed by the program FSFOUR, which runs in batch mode and is a space-group-general variable-radix 3D fast Fourier transform program. Unique reflections are expanded to a hemisphere, and the calculation then proceeds in P1. The output map always spans one full unit cell.

25.2.1.4.1. Submaps

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Selected regions of an electron-density map that are useful for NC symmetry applications can be extracted from the full-cell maps produced by FSFOUR with the programs EXTRMAP (batch) or MAPVIEW (interactive). The `submap' regions can cover any arbitrary volume and cross multiple cell edges if desired.

25.2.1.4.2. Orthogonal and skewed maps

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Programs MAPORTH and SKEW (both run in batch mode) are provided to modify submaps, as modification is sometimes useful or required with NC symmetry applications. MAPORTH simply converts the map to correspond to an orthogonal grid, which simplifies refinement of NC symmetry operators. SKEW also converts the map to an orthogonal grid, but changes the axis directions such that the new b axis can be arbitrarily oriented. This is useful in NC symmetry applications where one may want to examine maps looking directly down the NC symmetry rotation axis. Both programs compute density values at the new grid points by using a 64-point cubic spline interpolation and can also orthogonalize or skew masks to maintain correspondence with the modified submaps.

25.2.1.4.3. Graphics maps and skeletonization

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Program GMAP (interactive) is used to extract any region from a FSFOUR map, possibly crossing multiple cell edges, and convert it to a form directly readable by the external interactive graphics programs TOM [SGI version of FRODO (Jones, 1978[link])], O (Jones et al., 1991[link]) or CHAIN (Sack, 1988[link]). In addition to the output map file, one may also output a corresponding skeleton (Greer, 1974[link]) file (for TOM) or skeleton data block (for O) to facilitate chain tracing.

25.2.1.4.4. Peak search

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Program PSRCH (batch) lists the largest peaks in a Fourier map and is useful in identifying additional heavy-atom or anomalous-scatterer sites from a map phased by a tentative model. Either positive or negative peaks can be listed, with the latter sometimes useful in MAD phasing applications, depending on the assignment of `native' and `derivative' data sets. Only unique peaks are listed, and the peak positions are interpolated from the map.

References

First citation Greer, J. (1974). Three-dimensional pattern recognition: an approach to automated interpretation of electron density maps of proteins. J. Mol. Biol. 82, 279–301.Google Scholar
First citation Jones, T. A. (1978). A graphics model building and refinement system for macromolecules. J. Appl. Cryst. 11, 268–272.Google Scholar
First citation Jones, T. A., Zou, J.-Y., Cowan, S. W. & Kjeldgaard, M. (1991). Improved methods for building protein models in electron density maps and the location of errors in these models. Acta Cryst. A47, 110–119.Google Scholar
First citation Sack, J. S. (1988). CHAIN – a crystallographic modeling program. J. Mol. Graphics, 6, 224–225.Google Scholar








































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