M A T E R I A LS S C I E N CE A ND T E C H N O L O GY EDITORS ALLEN M. ALPER JOHN L. MARGRAVE A. S. NOWICK GTE Sylvania Inc. Department of Chemistry Henry Krumb School Precision Materials Group Rice University of Mines Chemical & Metallurgical Houston, Texas Columbia University Division New York, New York Towanda, Pennsylvania A. S. Nowick and B. S. Berry, ANELASTIC RELAXATION IN CRYSTALLINE SOLIDS, 1972 £. A. Nesbitt and J. H. Wernick, RARE EARTH PERMANENT MAGNETS, 1973 W. E. Wallace, RARE EARTH INTERMETALLICS, 1973 /. C. Phillips, BONDS AND BANDS IN SEMICONDUCTORS, 1973 H. Schmalzried, SOLID STATE REACTIONS, 1974 Λ H. Richardson and R. V. Peterson (editors), SYSTEMATIC MATERIALS ANALYSIS, VOLUMES I AND II, 1974. Volume III in preparation A.J. Freeman and J. B. Darby, Jr. (editors), THE ACTINIDES: ELECTRONIC STRUC TURE AND RELATED PROPERTIES, VOLUMES I AND II, 1974 In preparation A. S. Nowick andJ. J. Burton (editors), DIFFUSION IN SOLIDS: RECENT DEVELOP MENTS 7. W. Matthews (editor), EPITAXIAL GROWTH THE ACTINIDES ELECTRONIC STRUCTURE AND RELATED PROPERTIES Edited by A. J. FREEMAN Department of Physics Northwestern University Evanston, Illinois and Argonne National Laboratory Argonne, Illinois J. B. DARBY, JR. Materials Science Division Argonne National Laboratory Argonne, Illinois VOLUME I 1974 ACADEMIC PRESS New York San Francisco London A Subsidiary of Harcourt Brace Jovanovich, Publishers COPYRIGHT © 1974, BY ACADEMIC PRESS, INC. ALL RIGHTS RESERVED. NO PART OF THIS PUBLICATION MAY BE REPRODUCED OR TRANS MITTED IN ANY FORM OR BY ANY MEANS, ELECTRONIC OR MECHAN ICAL, INCLUDING PHOTOCOPY, RECORDING, OR ANY INFORMATION STORAGE AND RETRIEVAL SYSTEM, WITHOUT PERMISSION IN WRIT ING FROM THE PUBLISHER. REPRODUCTION IN WHOLE OR IN PART FOR ANY PURPOSE OF THE UNITED STATES GOVERNMENT IS PER MITTED. ACADEMIC PRESS, INC. Ill Fifth Avenue, New York, New York 10003 United Kingdom Edition published by ACADEMIC PRESS, INC. (LONDON) LTD. 24/28 Oval Road, London NW1 LIBRARY OF CONGRESS CATALOGING IN PUBLICATION DATA Freeman, Arthur J The actinides: electronic structure and related properties. (Materials science series) Includes bibliographies. 1. Actinide elements. I. Darby, Joseph Branch, Date joint author. II. Title. QD172.A3F73 546'.4 73-18970 ISBN 0-12-266701-8 (v. 1) PRINTED IN THE UNITED STATES OF AMERICA List of Contributors Numbers in parentheses indicate the pages on which the authors' contributions begin. A. T. ALDRED (109), Materials Science Division, Argonne National Laboratory, Argonne, Illinois S.-K. CHAN (1), Max-Planck-Institut fur Biophysikalische Chemie, Gottingen, Germany B. D. DUNLAP (237), Solid State Sciences Division, Argonne National Laboratory, Argonne, Illinois F. Y. FRADIN (181), Materials Science Division, Argonne National Laboratory, Argonne, Illinois A. J. FREEMAN (51), Department of Physics, Northwestern University, Evanston, Illinois G. M. KALVIUS (237), Physik Department, Technische Universitat Miinchen, Garching, Germany D. D. KOELLING (51), Solid State Sciences Division, Argonne National Laboratory, Argonne, Illinois D. J. LAM (1, 109), Materials Science Division, Argonne National Laboratory, Argonne, Illinois G. H. LANDER (303), Materials Science Division, Argonne National Laboratory, Argonne, Illinois Μ. H. MUELLER (303), Materials Science Division, Argonne National Laboratory, Argonne, Illinois MICHAEL V. NEVITT (xvii), Office of the Director, Argonne National Laboratory, Argonne, Illinois ix Preface The last two decades have witnessed remarkable advances in our under standing of the electronic structure and properties of a wide range of materials. Sparked by the introduction and use of highly sophisticated experi mental techniques, a mass of experimental knowledge has emerged that challenged previous (and oftentimes simplified) theoretical models and brought about a more unified view of electronic structure and behavior. First the noble metals, then the transition metals and their compounds, and, more recently, the rare earths have each enjoyed a period of research on their electronic structure and properties that achieved a high degree of sophisti cated understanding previously thought improbable. A similar period has most recently arrived for actinide research—called, for many reasons and only somewhat euphemistically, the "last frontier"—on the electronic struc ture of materials. Until recently, the difficult problems of obtaining samples of sufficient purity and overcoming problems associated with their radio active nature have resulted in slow progress and limited understanding. As is pointed out in the Historical Introduction, research on the electronic structure of the actinides began in the 1940's with the onset of the Atomic Age and has continued unabated by a small community of scientists who have maintained, on an international scale, a continuous and well-documented flow of new knowledge on the subject. However, it is only within the past five years that the more intensive effort on experimental studies of a variety of actinide metals and compounds has fostered intensive theoretical study of the basic phenomena and has given rise to a more unified understanding of their electronic properties. These volumes stem from the recognition that these recent advances have been so pervasive that they require a unified presentation in a single vehicle. The actinides have their own unique position among the elements. This arises from an unusual set of circumstances. In the transition elements, the s and d valence electrons form conduction bands that are responsible for their electric, magnetic, and optical properties. The rare earths are unique in that their 4f electrons are so highly localized, that although they determine the various exotic magnetic structures and properties of their metals, they xi xii PREFACE have little effect on other chemical and physical behavior that arises from the transition metal-like structure of their 5d and 6s valence electrons. The 5f electrons in actinide elements are not as well localized as the 4f's in rare earths but do have energies that are close to those of the 6d and 7s electrons. This produces, in actinide solids, the unusual condition of a strong "competition" between the 5f electrons and the 6d and 7s electrons in determining their electronic structure and properties. The contrast between the results on the actinides and those on transition and rare-earth metals makes clear that the 5f electrons are a unique species. Obviously much work still lies ahead before one will fully understand the behavior of actinides in detail. The present volumes will, it is hoped, stimulate and encourage con tinued efforts toward this goal. The present two-volume work is the first attempt to record and review, in a comprehensive way, the pertinent information and the existing body of knowledge on the electronic structure of the actinide elements, alloys, and compounds from the beginning to the time of completion of the manu script. Key topics closely allied and, to some extent, inseparable from electronic structure have also been included. The work includes a critical assessment of the existing knowledge of the topics reviewed within a frame work that hopefully will be useful to scientists intimately involved in the field as well as to the newcomer. The pattern of the two volumes is as follows. Volume I begins with an Historical Introduction on actinide research followed by a chapter on crystal- field theory that discusses the behavior of 5f electrons in actinide compounds when exposed to strong crystal-field interactions, with emphasis on the strong intraatomic correlation between electrons. Chapter 2 describes the present state of knowledge of the electronic energy band structure of the actinide metals, as derived from energy band theory, with emphasis on the importance of coulomb correlation in determining the itinerancy (in light actinides) or localization (in the heavy actinides) of the 5f electrons. The magnetic properties of the actinide compounds are related to their electronic structure in Chapter 3. The experimental results, obtained primarily from magnetic susceptibility data, are presented and used to characterize and systematize the magnetic properties of ionic, covalent, and intermetallic compounds. The remaining three chapters of Volume I analyze and critically review the information on the microscopic electronic properties of metals and compounds obtained from nuclear magnetic resonance, electron para magnetic resonance, Mossbauer effect (or nuclear gamma resonance), nuclear orientation, perturbed angular correlation, and neutron-scattering studies. Chapter 4 presents Knight-shift and spin-lattice relaxation results that docu ment our knowledge and understanding of the wide range of magnetic behavior exhibited by the 5f electrons. The power and limitations of hyperfine PREFACE xiii interaction measurements by nuclear radiation in the actinides is brought into sharp focus in Chapter 5, as is the increased understanding of 5f electron behavior under various conditions. Finally, Chapter 6 reviews the unique contribution made to date by slow neutron-scattering experiments and suggests the increased understanding that the use of this technique will bring to the actinides in the future. Chapter I of Volume II (by H. L. Davis) demonstrates how electronic band-structure calculations have contributed to the fundamental under standing of diverse physical properties of the AX compounds. In contrast to the approach taken in Chapter 1, Volume I, this approach emphasizes a degree of itinerancy for the 5f electrons of the lighter actinides. Many electron effects are treated in Chapter 2 (by S. Doniach) using basic many- body concepts to describe magnetism in the metals, dilute alloys, and inter metallic compounds. Optical experiments, as electronic structure probes, to obtain mappings of the occupied and empty electronic density of states are described in Chapter 3 (by B. W. Veal). The crystal chemistry of the actinide compounds, as a linkage between electronic structure and crystal structure, is treated in Chapter 4 (by D. J. Lam, J. B. Darby, Jr., and Μ. V. Nevitt) and also includes a comprehensive list of compounds, as well as a description and classification of crystal structure data. Transport properties and their relation to electronic structure and magnetic effects are reviewed in Chapter 5 (by Μ. B. Brodsky, A. J. Arko, A. R. Harvey, and W. J. Nellis), and magnetization studies are described in Chapter 6 (by W. J. Nellis and Μ. B. Brodsky) for the pure metals, alloys, and compounds that exhibit metallic behavior. The ultrasonic measurements, valuable in the studies of various temperature and pressure-induced phase transformations in actinide materials, is the subject of Chapter 7 (by E. S. Fisher). Volume II closes with Chapter 8 (by W. P. Ellis) that describes the significant improvements in the experimental techniques for studying surfaces and surface reactions and the present status and future promise of surface science as a rapidly emerging field of actinide research. The authors are to be commended for the extensive effort expended in gathering and presenting the information that appears in these volumes. We also wish to acknowledge the enthusiastic support and encouragement of numerous associates at Argonne National Laboratory, including Drs. B. R. T. Frost, Μ. V. Nevitt, N. L. Peterson, and P. G. Shewmon; and the editorial assistance of Ms. M. F. Adams and the secretarial assistance of Ms. B. L. Heramb. Contents of Volume II Band Structure of Actinide Compounds Possessing NaCl-Type Symmetry H. L. Davis Many Electron Effects in the Actinides S. Doniach Optical Properties and Electronic Structure of the Actinides B. W. Veal The Crystal Chemistry of Actinide Compounds D. J. Lam, J. B. Darby, Jr., and Μ. V. Nevitt Transport Properties Μ. B. Brodsky, A. J. Arko, A. R. Harvey, and W. J. Nellis Magnetic Properties W. J. Nellis and Μ. B. Brodsky Ultrasonic Waves in Actinide Metals and Compounds E. S. Fisher Surface Studies Walton P. Ellis XV Historical Introduction* MICHAEL V. NEVITT ARGONNE NATIONAL LABORATORY ARGONNE, ILLINOIS A review of the historical aspects of research on the actinide metals reveals that scientists provided, from the earliest years, a legacy of commit ment to the understanding of electronic structure. Availability of materials and experimental difficulties limited the rate of generation of information, especially during the decade and a half after the first discovery of man-made elements, but the experimentalist and the theoretician showed no hesitancy in seeking answers to difficult fundamental questions regarding electron energies and electron-transport mechanisms. As an early example of this commitment, we can cite Η. M. Finniston's 1957 comment (Coffinberry and Miner, 1961, p. 82) on the program of basic research on plutonium in the United Kingdom: Many of the peculiarities that are so evident in this metal are due to the electronic characteristics of the plutonium atom, and a theoretical study of the electronic structure of plutonium is being undertaken, as well as experimental researches that will give better understanding of electronic behavior. Initial work on the physical metallurgy of plutonium, the first trans uranium metal to be studied in detail, included in almost every laboratory the measurement of physical properties related to electrons and electronic energy levels. The following list indicates approximate starting times for early metallurgical research, which included physical-properties studies (Coffinberry and Miner, 1961, pp. 1-5), at some of the major research centers: Canada: Chalk River, 1947 France: Fontenay-aux-Roses, 1956 Union of Soviet Socialist Republics: before 1955 * Work performed under the auspices of the U.S. Atomic Energy Commission. xvii xviii MICHAEL V. NEVITT United Kingdom: AERE Harwell, 1946; AWRE Aldermaston, 1951 United States: Argonne National Laboratory, 1954; Los Alamos Scientific Laboratory, 1944; Mound Laboratory, 1956. A review of the progress in the study of the electronic structure of the actinides is facilitated by the fact that the work has been conducted by a relatively small community of scientists, who have been generally well known to each other and who have maintained a stable, well-documented international forum for summary reporting of their observations, conclu sions, speculations, and plans. The forum to which we refer is the series of international conferences held in 1957,1960,1965, and 1970(Coffinberry and Miner, 1961; Grison et al, 1961; Kay and Waldron, 1967; Miner, 1970) on plutonium and, most recently, other actinides. These conferences and their proceedings are in no sense complete accounts of the published work; how ever, they serve as valuable 5-yr markers in a brief historical review. Looking back on 1960 as a milestone for a first decade of progress, we may agree with Schonfeld in his statement at the second conference (Grison et al, 1961, p. 91) that, "... plutonium metallurgy is coming of age (and)... we are beginning to see serious efforts made to understand its many pecularities." At the time of the second conference, the now familiar electrical- resistivity anomaly in α-plutonium was mapped out by Lee et al (Grison et al, 1961, pp. 39-50) and by Sandenaw and Olsen (Grison et al, 1961, pp. 59-79). The low-temperature magnetic susceptibility of α-plutonium had been determined [Lee et al (Grison et al, 1961, pp. 39-50) and Weil et al (Grison et al, 1961, pp. 104-105)], although its modest temperature sen sitivity at low temperatures could not be related to the resistivity behavior. This problem remains unsolved. Initial measurements of low-temperature specific heat of plutonium metal were reported, but later work was required to clarify experimental uncertainties. No unifying theory for the electronic structure of any of the allotropic forms of plutonium had appeared, even in embryonic form. The need for high-purity samples was recognized, and an early indication of the future availability of high-purity plutonium was provided by Blumenthal and Brodsky (Grison et al, 1961, pp. 171-186). Knowledge of alloying behavior as influenced by electronic factors was in an imperfect state, with only broad generalizations in terms of valency and atomic size being formulated by Waber and Gschneidner (Grison et al, 1961, pp. 109-134). The next half decade, ending with the third conference (Kay and Waldron, 1967) was one in which significant advances were made in the range and accuracy of electronic property measurements, but in which the scope of interest in the synthetic elements had not extended significantly beyond plutonium. An essentially smooth and reproducible temperature dependence