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Book: Direct Phasing in Crystallography Fundamentals and Applications

Lachlan Cranswick l.cranswick at dl.ac.uk
Thu May 27 14:46:59 EST 1999


Sent on behalf of Alison Bowker, Oxford University Press
(E-mail: BOWKERA at oup.co.uk)
Lachlan.
===============
Book: Direct Phasing in Crystallography Fundamentals and Applications 

Carmelo Giacovazzo, 
Professor of Mineralogy, University of Bari, Italy 

   
A useful reference text for the daily work of professional 
crystallographers 

A multipurpose introduction to the topic for people interested 
in fundamental crystallography 

Contains a wide source of references for further reading 

An accessible text for teaching the basics of direct methods 

A source of suggestions for future research work 


Direct methods are, at present, applied to a large variety of 
cases: X-ray, neutron or electron data; single crystal and 
powder data; small molecules and macromolecules. While direct 
methods solved in practice the phase problem for small 
molecules, their application to macromolecules is recent and 
still undergoing strong development. The fundamentals of the 
methods are described: in particular it is shown how the methods 
can be optimized for powder, neutron or electron data, and how 
they can be integrated with isomorphous replacement, molecular 
replacement and anomalous dispersion techniques. Maximum Entropy 
methods are also described and discussed. Sets of test 
structures are used to verify, throughout the various chapters, 
the mathematical techniques there described and to provide 
practical examples of applications. This book will appeal to a 
wide variety of readers - offering both a comprehensive 
description of direct methods in crystallography and an 
invaluable reference tool. The first three chapters can be 
considered as an introduction to the field, with sufficient 
material to constitute a university course and for allowing the 
expert use of most direct methods programs. Subsequent chapters 
are aimed at graduate students and working crystallographers. 
Basic results are described and discussed in the main body of 
the text, while the appendices compliment these with in depth 
mathematical details. The quoted literature is extremely wide 
and the interested reader can find suggestions for future work 
and further reading throughout the book. 



Contents: Wilson statistics; About pseudosymmetries; Fourier 
series of representation; A modified Wilson plot procedure; 
Structure invariants and semi-invariants and the origin problem; 
Triplet invariant estimation and classical direct phasing 
procedures; Other multi-solution methods; Direct methods and 
real space properties; Direct methods and Patterson map 
properties: additional approaches; Estimating structures semi-
invariants from Harker sections; Patterson deconvolution 
methods; The method of joint probability distributions; P(E) and 
the saddle point method; Representations of structure invariants 
and semi-invariants; Two algebraic propositions; The 
probabilistic estimation of triplet invariants; The 
probabilistic estimation of quartet invariants; Mathematical 
derivation of the phase relationship; Mathematical derivation of 
the sign relationship; Special quartets; The probabilistic 
estimation of quintet invariants; The probabilistic estimation 
of 1- and 2- phase structure semi-invariants; Some mathematical 
details about the (1  estimates; Probabilistic determinantal 
approaches; Phasing neutron and electron data; n 12.AAbout the 
elastic scattering of electrons: the kinematical approximation; 
About HREM image formation; Direct phasing from powder  data; 
Macromolecular crystallography techniques and traditional direct 
methods; Crick and Magdoff relation; Protein phase estimate 
incorporating the treatment of errors; Solvent flattening; About 
Fourier synthesis of large use in macromolecular 
crystallography; Solvent content according to Matthews; Ab 
initio calculation of low-resolution envelopes; The integration 
of direct methods with isomorphous replacement techniques; 
Karle's Algebraic rule Riso; About local scaling; The 
integration of direct methods with anomalous dispersion 
techniques; Probabilistic treatment of the errors in the SIRAS 
case; Coefficients in the distribution; The maximal SAS 
principle; Molecular replacement techniques and direct methods. 
	 

International Union of Crystallography Monographs on 
Crystallography No.8 	 
0-19-850072-6 Hardback  GBP 75.00 (Pounds)
528 pages, 8 halftones, 226 line drawings
OUP/International Union of Crystallography


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