International Tables for Crystallography (2006). Vol. B, ch. 2.3, pp. 235-263   | 1 | 2 |
https://doi.org/10.1107/97809553602060000556

Chapter 2.3. Patterson and molecular-replacement techniques

Chapter index

Ab initio phase determination 2.3.8.2
Alfalfa mosaic virus 2.3.5.2
Angles
Eulerian 2.3.6.2
spherical 2.3.6.2
Anomalous dispersion (scattering) 2.3.4, 2.3.4.1, 2.3.4.2
Patterson function 2.3.4.3
Anomalous scatterers 2.3.4.3
Apparent noncrystallographic symmetry 2.3.6.4
Asymmetric unit
noncrystallographic 2.3.3.5
Averaged electron density 2.3.8.2
Bacterial rhodopsin 2.3.8.2
Bijvoet differences 2.3.4.3
Carpet of cross-vectors 2.3.5.2
Centrosymmetric projections 2.3.3.2, 2.3.3.2
Chemical correctness of polypeptide fold 2.3.8.2
Cholesteryl iodide 2.3.2.3
Closed point group 2.3.5.1
Complex scattering factor 2.3.4.1
Constraints on interpretation of Patterson functions 2.3.5.1
Convolution 2.3.1.1
Coordinates
fractional 2.3.6.2
spherical polar 2.3.6.2
Correlation functions 2.3.3.4
Cowpea mosaic virus 2.3.5.2
Cross-Patterson vectors 2.3.6.1
Cross-vectors 2.3.2.5
carpet of 2.3.5.2
Crystallographic symmetry 2.3.5.1
Cuprous chloride azomethane complex 2.3.2.1
Deconvolution of a Patterson function 2.3.2.4
Deoxyhaemoglobin 2.3.8.2
Difference Patterson functions 2.3.3.5, 2.3.3.6
isomorphous 2.3.3.5
Double-sorting technique 2.3.8.2
Electron density
averaged 2.3.8.2
real-space averaging of 2.3.5.2, 2.3.8.2
Enantiomeric ambiguity 2.3.1.4
Enantiomorphic images, weak 2.3.1.5
Enantiomorphic solutions 2.3.1.4
Envelope 2.3.5.1
Eulerian angles 2.3.6.2
Eulerian space 2.3.6.3
Eulerian space groups 2.3.6.3
rotation-function 2.3.6.4
Eulerian symmetry elements 2.3.6.2
Extended resolution 2.3.8.2
Fast rotation function 2.3.6.5
Feedback method 2.3.3.5
Fractional coordinates 2.3.6.2
Friedel's law 2.3.4.1
General translation function 2.3.7.1
Glyceraldehyde-3-phosphate dehydrogenase 2.3.5.2, 2.3.8.2, 2.3.8.2
Haemoglobin 2.3.3.1, 2.3.3.2
horse 2.3.3.4
Harker diagram 2.3.4.3
Harker lines 2.3.2.3
Harker planes 2.3.2.3
special 2.3.2.3
Harker sections 2.3.2.2, 2.3.2.3
Heavy-atom-derivative data sets
scaling of 2.3.3.7
Heavy-atom location 2.3.2.3
three-dimensional methods 2.3.3.3
Heavy-atom lower estimate 2.3.4.3
Heavy-atom sites 2.3.3.1
Heavy-atom substitution 2.3.3.7
Hexokinase 2.3.8.2
Homometric pair 2.3.1.4
Homometric structures 2.3.1.4
Horse haemoglobin 2.3.3.4
Image detection 2.3.2.4
Immunoglobulin 2.3.7.4
Implication theory 2.3.2.2
Improper rotation axes 2.3.5.1
Interaction matrix 2.3.2.3
Interference function
spherical 2.3.6.1
Isomorphism
lack of 2.3.3.7
Isomorphous replacement 2.3.3.1
difference Patterson functions 2.3.3, 2.3.3.5
single 2.3.3.4
Klug peaks 2.3.6.4
Known structural fragment, use of 2.3.8.1
Locked rotation function 2.3.6.4
Lysozyme 2.3.3.2
Matrix algebra 2.3.6.2
Maximum function 2.3.2.4
Minimum function 2.3.2.4, 2.3.2.4, 2.3.2.4
MIR (multiple isomorphous replacement)
phases 2.3.5.2
Molecular origin 2.3.8.1
Molecular replacement 2.3.1, 2.3.5.1, 2.3.8, 2.3.8.2
real-space 2.3.8.2
Molecular structure, position of a known 2.3.7.3
Multiple isomorphous replacement (MIR)
phases 2.3.5.2
Multiplicity corrections 2.3.2.5
Myoglobin 2.3.3.2
Negative peaks 2.3.3.4
Noncrystallographic asymmetric unit 2.3.3.5
Noncrystallographic rotational symmetry 2.3.6.1
Noncrystallographic rotation elements, translational components of 2.3.5.1
Noncrystallographic symmetry 2.3.5, 2.3.5.1
apparent 2.3.6.4
phase improvement using 2.3.8.2
proper 2.3.5.1
Noncrystallographic symmetry element
position of 2.3.7.2, 2.3.7.4
Non-linear transformations 2.3.6.3
Normalized structure factors 2.3.1.3
Origin(s)
molecular 2.3.8.1
removal from a Patterson function 2.3.1.3
selection 2.3.2.1
Orthogonalization 2.3.6.2
Overlap between two Pattersons 2.3.6.1
Patterson function(s) 2.3.1
anomalous-dispersion 2.3.4.3
contraints on interpretation of 2.3.5.1
deconvolution of 2.3.2.4
difference 2.3.3.5, 2.3.3.6
interactions in 2.3.1.1
isomorphous difference 2.3.3.5
origin removal 2.3.1.3
overlap between two 2.3.6.1
second kind 2.3.1.5
sharpened 2.3.1.3, 2.3.1.3
superposition 2.3.2.4
symmetry of 2.3.1.1
Patterson peaks 2.3.1.1
Patterson search 2.3.3.5
Patterson vector interactions 2.3.2.1
Phase determination
ab initio 2.3.8.2
Phase extension 2.3.8.2
Phase improvement 2.3.8.2
using noncrystallographic symmetry 2.3.8.2
Phases
from multiple isomorphous replacement 2.3.5.2
Point groups
closed 2.3.5.1
Polar space 2.3.6.3
Polyoma virus 2.3.8.2
Polypeptide fold, chemical correctness of 2.3.8.2
Position of a known molecular structure 2.3.7.3
Positive peaks 2.3.3.4
Product function 2.3.2.4, 2.3.2.4
Projection(s)
centrosymmetric 2.3.3.2, 2.3.3.2
Proper noncrystallographic symmetry 2.3.5.1
Ps(u) function 2.3.4.2
Radius of integration 2.3.6.1
Real-space averaging 2.3.8.2, 2.3.8.2
of electron density 2.3.5.2, 2.3.8.2
Real-space molecular replacement 2.3.8.2
Real-space translation functions 2.3.7.4
Reciprocal-space procedures 2.3.2.5
Rotational symmetry, noncrystallographic 2.3.6.1
Rotation axes, improper 2.3.5.1
Rotation-function Eulerian space groups 2.3.6.4
Rotation functions 2.3.6
fast 2.3.6.5
locked 2.3.6.4
Rotation matrix 2.3.6.4
trace of 2.3.6.2
Satellite tobacco necrosis virus 2.3.5.2
Scaling of heavy-atom-derivative data sets 2.3.3.7
Scattering factors
complex 2.3.4.1
Self-Patterson
vectors 2.3.6.1
Self-vectors 2.3.2.5
Shannon sampling theorem 2.3.8.3
Sharpened Patterson functions 2.3.1.3, 2.3.1.3
Single isomorphous replacement (SIR) 2.3.3.4
difference electron density 2.3.3.5
phasing 2.3.3.5
SIR (single isomorphous replacement) 2.3.3.4
difference electron density 2.3.3.5
phasing 2.3.3.5
Southern bean mosaic virus 2.3.5.2, 2.3.8.2
Space groups
Eulerian 2.3.6.3
rotation-function 2.3.6.3
Special Harker planes 2.3.2.3
Spherical angles 2.3.6.2
Spherical harmonics 2.3.6.5
Spherical interference function 2.3.6.1
Spherical polar coordinates 2.3.6.2
Structure factors
normalized 2.3.1.3
Sum function 2.3.2.4, 2.3.2.4
Sum of images 2.3.2.4
Superposition methods 2.3.2.4
Superposition of Patterson functions 2.3.2.4
Symmetry 2.3.6.3
crystallographic 2.3.5.1
noncrystallographic 2.3.5, 2.3.5.1
noncrystallographic, proper 2.3.5.1
noncrystallographic, rotational 2.3.6.1
of Patterson function 2.3.1.1
Trace of rotation matrix 2.3.6.2
Transformations
non-linear 2.3.6.3
Translational components of noncrystallographic rotation elements 2.3.5.1
Translation functions 2.3.7
general 2.3.7.1
real-space 2.3.7.4
Translation vector 2.3.5.1
Vector interactions in a Patterson map 2.3.2.2
Vector map 2.3.1.1
Vector overlap 2.3.2.5
Vectors
cross-Patterson 2.3.6.1
self-Patterson 2.3.6.1
translation 2.3.5.1
Vector-search procedures 2.3.2.5
Weak enantiomorphic images 2.3.1.5
α-Chymotrypsin 2.3.7.4