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Averaging the p-cell and placing the results into the h-cell
Rossmann, M. G. and Arnold, E.  International Tables for Crystallography (2012). Vol. F, Section 13.4.5.3, p. 356 [ doi:10.1107/97809553602060000842 ]
Averaging the p-cell and placing the results into the h-cell 13.4.5.3. Averaging the p-cell and placing the results into the h-cell Consider averaging the density at N noncrystallographically related points in the p-cell and placing that result into the h-cell. From (13.4.5.7), multiplying by , From ...
     [more results from section 13.4.5 in volume F]

The p- and h-cells
Rossmann, M. G. and Arnold, E.  International Tables for Crystallography (2012). Vol. F, Section 13.4.4, pp. 354-355 [ doi:10.1107/97809553602060000842 ]
The p- and h-cells 13.4.4. The p- and h-cells It is useful to define two types of unit cells. (1) The `p-cell' is the unit cell of the unknown crystal structure and is associated with fractional coordinates y and unit-cell vectors . (2) The `h-cell' is ...

Phase determination using NCS
Rossmann, M. G. and Arnold, E.  International Tables for Crystallography (2012). Vol. F, Section 13.4.3, p. 354 [ doi:10.1107/97809553602060000842 ]
... Rossmann & Blow (1962); Rossmann (1972, 1990); Argos & Rossmann (1980); Rossmann & Arnold (2001)] is dependent upon the presence of NCS, whether it ... References Abad-Zapatero, C., Abdel-Meguid, S. S., Johnson, J. E., Leslie, A. G. W., Rayment, I., Rossmann, M. G., Suck ... symmetry for phase determination. Acta Cryst. B25, 2571-2580. Dodson, E. J., Gover, S. & Wolf, W. (1992). Editors. Proceedings ...

Noncrystallographic symmetry (NCS)
Rossmann, M. G. and Arnold, E.  International Tables for Crystallography (2012). Vol. F, Section 13.4.2, pp. 352-354 [ doi:10.1107/97809553602060000842 ]
Noncrystallographic symmetry (NCS) 13.4.2. Noncrystallographic symmetry (NCS) Crystallographic symmetry is valid for the infinite crystal lattice. Any crystallographic symmetry element relates all points within the crystal to equivalent points elsewhere. In contrast, an NCS operator is valid only locally within a finite volume (Fig. 13.4.2.1); if a periodic structure is superimposed ...

Introduction
Rossmann, M. G. and Arnold, E.  International Tables for Crystallography (2012). Vol. F, Section 13.4.1, p. 352 [ doi:10.1107/97809553602060000842 ]
Introduction 13.4.1. Introduction Electron-density averaging for phasing crystal structures has become a widespread and nearly routine technique. High noncrystallographic symmetry (NCS) permits the solution of structures using relatively poor and even ab initio phasing starts, while lower NCS electron-density averaging can significantly improve initial phases obtained by techniques such ...

Noncrystallographic symmetry averaging of electron density for molecular-replacement phase refinement and extension
Rossmann, M. G. and Arnold, E.  International Tables for Crystallography (2012). Vol. F, ch. 13.4, pp. 352-363 [ doi:10.1107/97809553602060000842 ]
... the actual crystal (the `p-cell') using the relationship Y = [E]X. Hence each of the N units can be referred to the reference unit by Yn = [E][Rn]X1. In turn, the N units in the p ... Rossmann & Blow (1962); Rossmann (1972, 1990); Argos & Rossmann (1980); Rossmann & Arnold (2001)] is dependent upon the presence of NCS, whether ...

Electron microscopy's impact on structural biology (S. Sun)
Arnold, E., Rossmann, M.G., Himmel, D.M., Spence, J.C.H. and Sun, S.  International Tables for Crystallography (2012). Vol. F, Section 1.4.5, pp. 42-43 [ doi:10.1107/97809553602060000807 ]
... 402-407. Ben-Harush, K., Maimon, T., Patla, I., Villa, E. & Medalia, O. (2010). Visualizing cellular processes at the molecular ... 1941-1974. Subramaniam, S., Bartesaghi, A., Liu, J., Bennett, A. E. & Sougrat, R. (2007). Electron tomography of viruses. Curr. Opin. Struct. Biol. 17, 596-602. Wade, R. H. & Hewat, E. A. (1994). Cryoelectron microscopy of macromolecular complexes. Biol. ...

Gazing into the crystal ball - the X-ray free-electron laser (J. C. H. Spence)
Arnold, E., Rossmann, M.G., Himmel, D.M., Spence, J.C.H. and Sun, S.  International Tables for Crystallography (2012). Vol. F, Section 1.4.4, pp. 41-42 [ doi:10.1107/97809553602060000807 ]
... Schröter, C. D., Krasniqi, F., Bott, M., Schmidt, K. E., Wang, X., Grotjohann, I., Holton, J. M., Barends, T. R. ... C., Kirian, R. A., Wang, X., Weierstall, U., Schmidt, K. E., White, T., Barty, A., Chapman, H. N., Marchesini, S. & Holton ...

Additional comments on Gazing into the crystal ball (D. M. Himmel)
Arnold, E., Rossmann, M.G., Himmel, D.M., Spence, J.C.H. and Sun, S.  International Tables for Crystallography (2012). Vol. F, Section 1.4.3, p. 41 [ doi:10.1107/97809553602060000807 ]
... Science, 317, 333-336. Lewis, J. C., Coelho, P. S. & Arnold, F. H. (2011). Enzymatic functionalization of carbon-hydrogen bonds. ...

Brief comments on Gazing into the crystal ball (M. G. Rossmann)
Arnold, E., Rossmann, M.G., Himmel, D.M., Spence, J.C.H. and Sun, S.  International Tables for Crystallography (2012). Vol. F, Section 1.4.2, p. 40 [ doi:10.1107/97809553602060000807 ]
... on Gazing into the crystal ball (M. G. Rossmann) Eddy Arnold and I had planned to write a joint commentary about ...

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