Macromolecular phasing with SHELXE

2002 ◽  
Vol 217 (12) ◽  
Author(s):  
G. M. Sheldrick
Keyword(s):  
Electron Density ◽  
Heavy Atom ◽  
Small Contribution ◽  
Initial Electron ◽  
Density Map ◽  
Electron Density Map

AbstractSHELXE was designed to provide a simple, fast and robust route from substructure sites found by the program SHELXD to an initial electron density map, if possible with an indication as to which heavy-atom enantiomorph is correct. This should be understood as a small contribution to

scholarly journals Is It Conjugated or Not? The Theoretical and Experimental Electron Density Map of Bonding in p-CH3CH2COC6H4-C≡C-C≡C-p-C6H4COCH3CH2

Molecules ◽  
2020 ◽  
Vol 25 (19) ◽  
pp. 4388 ◽  
Author(s):  
Przemysław Starynowicz ◽  
Sławomir Berski ◽  
Nurbey Gulia ◽  
Karolina Osowska ◽  
Tadeusz Lis ◽  
...  
Keyword(s):  
Electron Density ◽  
Theoretical Calculations ◽  
Topological Analysis ◽  
Carbon Chain ◽  
Small Contribution ◽  
X Ray Diffraction ◽  
X Ray ◽  
Density Map ◽  
Electron Density Map ◽  
Experimental Electron Density

The electron density of p-CH3CH2COC6H4-C≡CC≡C-p-C6H4COCH3CH2 has been investigated on the basis of single-crystal X-ray diffraction data collected to high resolution at 100 K and from theoretical calculations. An analysis of the X-ray data of the diyne showed interesting “liquidity” of electron distribution along the carbon chain compared to 1,2-diphenylacetylene. These findings are compatible with the results of topological analysis of Electron Localization Function (ELF), which has also revealed a larger (than expected) concentration of the electron density at the single bonds. Both methods indicate a clear π-type or “banana” character of a single bond and a significant distortion from the typical conjugated structure of the bonding in the diyne with a small contribution of cumulenic structures.

Automatic procedure for crystal-structure analysis with the heavy-atom technique*

1971 ◽  
Vol 134 (1-2) ◽  
Author(s):  
Vasantha Pattabhi ◽  
K. Venkatesan
Keyword(s):  
Electron Density ◽  
Least Squares Method ◽  
Heavy Atom ◽  
Site Occupancy ◽  
Crystal Structure Analysis ◽  
Density Maps ◽  
Structure Factors ◽  
Subsequent Calculation ◽  
Density Map ◽  
Electron Density Map

AbstractThis paper deals with a possible method of determining molecular structure directly, using x-ray data. The peaks chosen from the electron-density map calculated using the signs obtained from the contribution of the heavy atom are assigned site-occupancy values which depend upon the peak heights. The occupancy parameter is refined by the least-squares method and the peaks for which the value of the occupancy parameters increases are taken as real atoms in the subsequent calculation of structure factors and electron-density maps. The method has been tested in two hypothetical cases and in a real case.

The low-resolution structure of human muscle aldolase

1981 ◽  
Vol 293 (1063) ◽  
pp. 209-214 ◽  
Keyword(s):  
Domain Structure ◽  
Electron Density ◽  
Heavy Atom ◽  
Three Dimensional ◽  
Human Muscle ◽  
Dimensional Structure ◽  
Density Map ◽  
Electron Density Map ◽  
Spherical Molecule ◽  
Resolution Structure

The three-dimensional structure of human muscle aldolase has been solved at 5 A resolution with the use of two isomorphous heavy atom derivatives. The enzyme’s four subunits are arranged about three mutually perpendicular intersecting twofold axes to form a compact spherical molecule. The subunit boundaries are clearly defined but a possible domain structure is not apparent in this preliminary electron density map.

scholarly journals Evaluation of macromolecular electron-density map quality using the correlation of local r.m.s. density

1999 ◽  
Vol 55 (11) ◽  
pp. 1872-1877 ◽  
Author(s):  
Thomas C. Terwilliger ◽  
Joel Berendzen
Keyword(s):  
Standard Deviation ◽  
Ab Initio ◽  
Electron Density ◽  
Heavy Atom ◽  
Real Space ◽  
Acta Cryst ◽  
Density Maps ◽  
Density Map ◽  
Electron Density Map ◽  
Trial Phase

It has recently been shown that the standard deviation of local r.m.s. electron density is a good indicator of the presence of distinct regions of solvent and protein in macromolecular electron-density maps [Terwilliger & Berendzen (1999). Acta Cryst. D55, 501–505]. Here, it is demonstrated that a complementary measure, the correlation of local r.m.s. density in adjacent regions on the unit cell, is also a good measure of the presence of distinct solvent and protein regions. The correlation of local r.m.s. density is essentially a measure of how contiguous the solvent (and protein) regions are in the electron-density map. This statistic can be calculated in real space or in reciprocal space and has potential uses in evaluation of heavy-atom solutions in the MIR and MAD methods as well as for evaluation of trial phase sets in ab initio phasing procedures.

A Comparison of Two Algorithms for Electron-Density Map Improvement by Introduction of Atomicity: Skeletonization, and Map Sorting Followed by Refinement

1998 ◽  
Vol 54 (1) ◽  
pp. 81-85 ◽  
Author(s):  
F. M. D. Vellieux
Keyword(s):  
Electron Density ◽  
Initial Density ◽  
Acta Cryst ◽  
Density Maps ◽  
Resolution Electron ◽  
Crystallographic Symmetry ◽  
Density Map ◽  
Ornithine Transcarbamoylase ◽  
Electron Density Map ◽  
Pseudo Atom

A comparison has been made of two methods for electron-density map improvement by the introduction of atomicity, namely the iterative skeletonization procedure of the CCP4 program DM [Cowtan & Main (1993). Acta Cryst. D49, 148–157] and the pseudo-atom introduction followed by the refinement protocol in the program suite DEMON/ANGEL [Vellieux, Hunt, Roy & Read (1995). J. Appl. Cryst. 28, 347–351]. Tests carried out using the 3.0 Å resolution electron density resulting from iterative 12-fold non-crystallographic symmetry averaging and solvent flattening for the Pseudomonas aeruginosa ornithine transcarbamoylase [Villeret, Tricot, Stalon & Dideberg (1995). Proc. Natl Acad. Sci. USA, 92, 10762–10766] indicate that pseudo-atom introduction followed by refinement performs much better than iterative skeletonization: with the former method, a phase improvement of 15.3° is obtained with respect to the initial density modification phases. With iterative skeletonization a phase degradation of 0.4° is obtained. Consequently, the electron-density maps obtained using pseudo-atom phases or pseudo-atom phases combined with density-modification phases are much easier to interpret. These tests also show that for ornithine transcarbamoylase, where 12-fold non-crystallographic symmetry is present in the P1 crystals, G-function coupling leads to the simultaneous decrease of the conventional R factor and of the free R factor, a phenomenon which is not observed when non-crystallographic symmetry is absent from the crystal. The method is far less effective in such a case, and the results obtained suggest that the map sorting followed by refinement stage should be by-passed to obtain interpretable electron-density distributions.

Electron-density maps

2002 ◽  
Author(s):  
David Blow
Keyword(s):  
Fourier Transform ◽  
Electron Density ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Unit Cell ◽  
Density Maps ◽  
Wave Cycle ◽  
Density Map ◽  
The Fourier Transform ◽  
Electron Density Map

When everything has been done to make the phases as good as possible, the time has come to examine the image of the structure in the form of an electron-density map. The electron-density map is the Fourier transform of the structure factors (with their phases). If the resolution and phases are good enough, the electron-density map may be interpreted in terms of atomic positions. In practice, it may be necessary to alternate between study of the electron-density map and the procedures mentioned in Chapter 10, which may allow improvements to be made to it. Electron-density maps contain a great deal of information, which is not easy to grasp. Considerable technical effort has gone into methods of presenting the electron density to the observer in the clearest possible way. The Fourier transform is calculated as a set of electron-density values at every point of a three-dimensional grid labelled with fractional coordinates x, y, z. These coordinates each go from 0 to 1 in order to cover the whole unit cell. To present the electron density as a smoothly varying function, values have to be calculated at intervals that are much smaller than the nominal resolution of the map. Say, for example, there is a protein unit cell 50 Å on a side, at a routine resolution of 2Å. This means that some of the waves included in the calculation of the electron density go through a complete wave cycle in 2 Å. As a rule of thumb, to represent this properly, the spacing of the points on the grid for calculation must be less than one-third of the resolution. In our example, this spacing might be 0.6 Å. To cover the whole of the 50 Å unit cell, about 80 values of x are needed; and the same number of values of y and z. The electron density therefore needs to be calculated on an array of 80×80×80 points, which is over half a million values. Although our world is three-dimensional, our retinas are two-dimensional, and we are good at looking at pictures and diagrams in two dimensions.

scholarly journals Electron density map as an aid in the sequencing of peptides.

1973 ◽  
Vol 70 (6) ◽  
pp. 1793-1794 ◽  
Author(s):  
M. J. Adams ◽  
G. C. Ford ◽  
P. J. Lentz ◽  
A. Liljas ◽  
M. G. Rossmann
Keyword(s):  
Electron Density ◽  
Density Map ◽  
Electron Density Map
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