List of Space Groups
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Space Groups and Lattice Complexes ; —
Mm 1W 18 072 if "^^^"^ Space Groups and Lattice Complexes ; — — Werner FISHER Mineralogisches Institut der Philipps-Universitat D-3550 Marburg/Lahn, German Federal Republic Hans BURZLAFF Lehrstuhl fiir Kristallographie der Friedrich-Alexander-Universitat Erlangen-Niirnberg D-8520 Erlangen, German Federal Republic Erwin HELLNER Fachbereich Geowissenschaften der Philipps-Universitat D-3550 Marburg/Lahn, German Federal Republic J. D. H. DONNAY Department de Geologic, Universite'de Montreal CP 6128 Montreal 101, Quebec, Canada Formerly, The Johns Hopkins University, Baltimore, Maryland Prepared under the auspices of the Commission on International Tables, International Union of Crystallography, and the Office of Standard Reference Data, National Bureau of Standards. U.S. DEPARTMENT OF COMMERCE, Frederick B. Dent, Secreiory NATIONAL BUREAU OF STANDARDS, Richard W. Roberts, Dnecior Issued May 1973 Library of Congress Catalog Number: 73-600099 National Bureau of Standards Monograph 134 Nat. Bur. Stand. (U.S.), Monogr. 134, 184 pages (May 1973) CODEN: NBSMA6 For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402 (Order by SD Catalog No. C13,44:134). Price: $4.10, domestic postpaid; $3.75, GPO Bookstore Stock Number 0303-01143 Abstract The lattice complex is to the space group what the site set is to the point group - an assemblage of symmetry- related equivalent points. The symbolism introduced by Carl Hermann has been revised and extended. A total of 402 lattice complexes are derived from 67 Weissenberg com- plexes. The Tables list site sets and lattice complexes in standard and alternate representations. They answer the following questions: What are the co-ordinates of the points in a given lattice complex? In which space groups can a given lattice complex occur? What are the lattice complexes that can occur in a given space group? The higher the symmetry of the crystal structures is, the more useful the lattice- complex approach should be on the road to the ultimate goal of their classification. -
Space Groups and Lattice Complexes ; —
Mm 1W 18 072 if "^^^"^ Space Groups and Lattice Complexes ; — — Werner FISHER Mineralogisches Institut der Philipps-Universitat D-3550 Marburg/Lahn, German Federal Republic Hans BURZLAFF Lehrstuhl fiir Kristallographie der Friedrich-Alexander-Universitat Erlangen-Niirnberg D-8520 Erlangen, German Federal Republic Erwin HELLNER Fachbereich Geowissenschaften der Philipps-Universitat D-3550 Marburg/Lahn, German Federal Republic J. D. H. DONNAY Department de Geologic, Universite'de Montreal CP 6128 Montreal 101, Quebec, Canada Formerly, The Johns Hopkins University, Baltimore, Maryland Prepared under the auspices of the Commission on International Tables, International Union of Crystallography, and the Office of Standard Reference Data, National Bureau of Standards. U.S. DEPARTMENT OF COMMERCE, Frederick B. Dent, Secreiory NATIONAL BUREAU OF STANDARDS, Richard W. Roberts, Dnecior Issued May 1973 Library of Congress Catalog Number: 73-600099 National Bureau of Standards Monograph 134 Nat. Bur. Stand. (U.S.), Monogr. 134, 184 pages (May 1973) CODEN: NBSMA6 For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402 (Order by SD Catalog No. C13,44:134). Price: $4.10, domestic postpaid; $3.75, GPO Bookstore Stock Number 0303-01143 Abstract The lattice complex is to the space group what the site set is to the point group - an assemblage of symmetry- related equivalent points. The symbolism introduced by Carl Hermann has been revised and extended. A total of 402 lattice complexes are derived from 67 Weissenberg com- plexes. The Tables list site sets and lattice complexes in standard and alternate representations. They answer the following questions: What are the co-ordinates of the points in a given lattice complex? In which space groups can a given lattice complex occur? What are the lattice complexes that can occur in a given space group? The higher the symmetry of the crystal structures is, the more useful the lattice- complex approach should be on the road to the ultimate goal of their classification. -
Crystallography
Introduction to Crystallography Donald E. Sands INTRODUCTION TO CRYSTALLOGRAPHY INTRODUCTION TO CRYSTALLOGRAPHY Donald E. Sands UNIVERSITY OF KENTUCKY DOVER PUBLICATIONS, INC. NEW YORK Copyright Copyright © 1969, 1975 by Donald E. Sands. All rights reserved under Pan American and International Copyright Conventions. Bibliographical Note This Dover edition, first published in 1993, is an unabridged republica tion of the work first published by W. A. Benjamin, Inc. (in the "Physical Chemistry Monograph Series" of the "Advanced Book Program'), 1969 (corrected printing 1975). Library of Congress Cataloging-in-Publication Data Sands, Donald, 1929- Introduction to crystallography I Donald E. Sands. p. em. Includes index. ISBN 0-486-67839-3 I. Crystallography. I. Title. QD905.2.S26 1993 548-dc20 93-35539 CIP Manufactured in the United States of America Dover Publications, Inc., 31 East 2nd Street, Mineola, N.Y. 11501 Preftwe THE proliferation and the importance of the results of crystal structure analysis confront the chemist with the need to learn the language of crystallography. This book is an outgrowth of the opinion that the training of the undergraduate chemistry major can include more of this language than the memorization of a list of lattice types. At the same time, it would be unreasonable and impractical to expect all chemists to become experts in this specialized field. The purpose, therefore, is to treat the subject in a manner that will quickly and painlessly enable the nonspecialist to read and comprehend the crystallographic literature. It is hoped that this introduction may serve as a useful starting point for those students who wish to pursue the subject further. -
C Standard^ 1Q73*B*3F*J Space Groups and Lattice Complexes
Science Docs. ILS DEPARTMENT OF COMMERCE Nations! Bureau c Standard^ 1Q73*b*3f*J Space Groups and Lattice Complexes Werner FISHER Mineralogisches Institut der Philipps-Universitat D-3550 Marburg/Lahn, German Federal Republic Hans BURZLAFF Lehrstuhl fiir Kristallographie der Friedrich-Alexander-Universitat Erlangen-Niirnberg D-8520 Erlangen, German Federal Republic Erwin HELLNER Fachbereich Geowissenschaften der Philipps-Universitat D-3550 Marburg/Lahn, German Federal Republic J. D. H. DONNAY Department de Geologie, Universite©de Montreal CP 6128 Montreal 101, Quebec, Canada Formerly, The Johns Hopkins University, Baltimore, Maryland Prepared under the auspices of the Commission on International Tables, International Union of Crystallography, and the Office of Standard Reference Data, National Bureau of Standards. U.S. DEPARTMENT OF COMMERCE, Frederick B. Dent, Secretary NATIONAL BUREAU OF STANDARDS, Richard W. Roberts, D/recfor Issued May 1973 Library of Congress Catalog Number: 73-600099 National Bureau of Standards Monograph 134 Nat. Bur. Stand. (U.S.), Monogr. 134, 184 pages (May 1973) CODEN: NBSMA6 For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402 (Order by SD Catalog No. Cl3.44-.134). Price: $4.10, domestic postpaid; $3.75, GPO Bookstore Stock Number 0303-01143 Abstract The lattice complex is to the space group what the site set is to the point group - an assemblage of symmetry-related equivalent points. The symbolism introduced by Carl Hermann has been revised and extended, A total