Access the full text.
Sign up today, get DeepDyve free for 14 days.
J. Karle, I. Karle (1966)
The symbolic addition procedure for phase determination for centrosymmetric and non‐centrosymmetric crystalsActa Crystallographica, 21
C. Giacovazzo (1980)
The method of representations of structure seminvariants. II. New theoretical and practical aspectsActa Crystallographica Section A, 36
T. Lange (2011)
Vector Space
H. Hauptman (1976)
A heuristic study of neighborhoods of the structure seminvariants in the space group PActa Crystallographica Section A, 32
(1993)
Science, 259, 1430–1433
M. Burla, R. Caliandro, B. Carrozzini, G. Cascarano, L. Caro, C. Giacovazzo, G. Polidori, D. Siliqi (2006)
The revenge of the Patterson methods. I. Protein ab initio phasingJournal of Applied Crystallography, 39
M. Burla, C. Giacovazzo, A. Mazzone, G. Polidori, Dritan Siliqi (2011)
About the σA estimate.Acta crystallographica. Section A, Foundations of crystallography, 67 Pt 3
S. Fortier (1998)
Direct methods for solving macromolecular structures
(1983)
Acta Cryst
C. Giacovazzo (1977)
A general approach to phase relationships: the method of representationsActa Crystallographica Section A, 33
F. Pavelčík, L. Kuchta, J. Sivý (1992)
Patterson-oriented automatic structure determination. Utilizing Patterson peaksActa Crystallographica Section A, 48
M. Burla, R. Caliandro, C. Giacovazzo, G. Polidori (2010)
The difference electron density: a probabilistic reformulation.Acta crystallographica. Section A, Foundations of crystallography, 66 Pt 3
C. Giacovazzo (1983)
From a Partial to the Complete Crystal StructureActa Crystallographica Section A, 39
(1976)
Crystallographic Computing Techniques
G. Oszlányi, A. Sütő (2003)
Ab initio structure solution by charge flipping.Acta crystallographica. Section A, Foundations of crystallography, 60 Pt 2
G. Oszlányi, A. Sütő (2005)
Ab initio structure solution by charge flipping. II. Use of weak reflections.Acta crystallographica. Section A, Foundations of crystallography, 61 Pt 1
M. Burla, B. Carrozzini, G. Cascarano, C. Giacovazzo, G. Polidori (2011)
Advances in the VLD algorithmJournal of Applied Crystallography, 44
(1998)
Direct Methods for Solving Macromolecular
M. Burla, C. Giacovazzo, G. Polidori (2011)
Phasing medium-size structures and proteins by the VLD algorithmJournal of Applied Crystallography, 44
R. Caliandro, B. Carrozzini, G. Cascarano, L. Caro, C. Giacovazzo, M. Moustiakimov, D. Siliqi (2005)
The partial structure with errors: a probabilistic treatment.Acta crystallographica. Section A, Foundations of crystallography, 61 Pt 3
M. Burla, R. Caliandro, M. Camalli, B. Carrozzini, G. Cascarano, L. Caro, C. Giacovazzo, G. Polidori, R. Spagna (2005)
SIR2004: an improved tool for crystal structure determination and refinementJournal of Applied Crystallography, 38
R. Miller, G. DeTitta, R. Jones, D. Langs, C. Weeks, H. Hauptman (1993)
On the application of the minimal principle to solve unknown structures.Science, 259 5100
H. Hauptman (1982)
On integrating the techniques of direct methods and isomorphous replacement. I. The theoretical basisActa Crystallographica Section A, 38
(1998)
Direct Phasing in Crystallography
J. Heinerman, H. Krabbendam, J. Kroon (1977)
The von Mises distribution of the phase of a structure invariantActa Crystallographica Section A, 33
M. Burla, C. Giacovazzo, G. Polidori (2010)
From a random to the correct structure: the VLD algorithmJournal of Applied Crystallography, 43
L. Palatinus, G. Chapuis (2007)
SUPERFLIP– a computer program for the solution of crystal structures by charge flipping in arbitrary dimensionsJournal of Applied Crystallography, 40
R. Caliandro, B. Carrozzini, G. Cascarano, L. Caro, C. Giacovazzo, A. Mazzone, D. Siliqi (2008)
Ab initio phasing of proteins with heavy atoms at non-atomic resolution: pushing the size limit of solvable structures up to 7890 non-H atoms in the asymmetric unitJournal of Applied Crystallography, 41
(1987)
Patterson and Pattersons
G. Cascarano, C. Giacovazzo, M. Camalli, R. Spagna, M. Burla, A. Nunzi, G. Polidori (1984)
The method of representations of structure seminvariants. The strengthening of triplet relationshipsActa Crystallographica Section A, 40
R. Read (1986)
Improved Fourier Coefficients for Maps Using Phases from Partial Structures with ErrorsActa Crystallographica Section A, 42
R. Srinivasan, G. Ramachandran (1965)
Probability distribution connected with structure amplitudes of two related crystals. V. The effect of errors in the atomic coordinates on the distribution of observed and calculated structure factorsActa Crystallographica, 19
M. Burla, R. Caliandro, B. Carrozzini, G. Cascarano, L. Caro, C. Giacovazzo, G. Polidori, D. Siliqi (2007)
The revenge of the Patterson methods. II. Substructure applicationsJournal of Applied Crystallography, 40
P. Main (1979)
A theoretical comparison of the ,?' and 2FoFc synthesesActa Crystallographica Section A
J. Heinerman (1977)
The use of structural information in the phase probability of a triple productActa Crystallographica Section A, 33
The triplet structure invariant is estimated via the method of joint probability distribution functions when a model structure is available. The six‐variate probability distribution function P(Eh, Ek, E−h−k, Eph, Epk, Ep,−h−k) is studied under the condition that imperfect isomorphism between the target and model structures exist. The results are compared with those available in the literature, which were obtained under the condition of perfect isomorphism. It is shown that the new formalism is more suitable for real cases, where perfect isomorphism is very rare.
Acta Crystallographica Section A Foundations of Crystallography – Wiley
Published: Jan 1, 2012
Keywords: ; ;
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.