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F i s s i o Fission Product Yield Data for the n P r o d u Transmutation of Minor Actinide c t Y i e l d Nuclear Waste D a This publication reports on a coordinated research project devoted to the t a development of methodologies designed to derive recommended fission f o r yields for direct application in studies of the transmutation of nuclear waste. t h e Emphasis is placed on the derivation of adequate systematics and models T r for the calculation of energy dependent fission yields up to 150 MeV a n s incident neutron energy. A benchmark exercise revealed the worth and m u predictive capabilities of the proposed systematics and theoretical models. t a t These methods of analysis have the potential to give reliable predictions io n after implementation of further improvements suggested in this report. o f A brief introduction and the various studies undertaken by individual M i participants are given at the beginning of this publication, followed by a n o r detailed description of the resulting overall achievements, conclusions and A c recommendations of the coordinated research project, and a summary of t i n i the benchmark exercise and results. Additional material is contained on d e a CD-ROM, including various compilations of the fission product yields, N u unedited papers and full details of the benchmark exercise. c l e a r W a s t e INTERNATIONAL ATOMIC ENERGY AGENCY VIENNA ISBN 92–0–115306–6 P1286_covI+IV_A4.indd 1 2008-04-16 10:23:54 FISSION PRODUCT YIELD DATA FOR THE TRANSMUTATION OF MINOR ACTINIDE NUCLEAR WASTE The following States are Members of the International Atomic Energy Agency: AFGHANISTAN GREECE NORWAY ALBANIA GUATEMALA PAKISTAN ALGERIA HAITI PALAU ANGOLA HOLY SEE PANAMA ARGENTINA HONDURAS PARAGUAY ARMENIA HUNGARY PERU AUSTRALIA ICELAND PHILIPPINES AUSTRIA INDIA POLAND AZERBAIJAN INDONESIA PORTUGAL BANGLADESH IRAN, ISLAMIC REPUBLIC OF QATAR BELARUS IRAQ REPUBLIC OF MOLDOVA BELGIUM IRELAND ROMANIA BELIZE ISRAEL RUSSIAN FEDERATION BENIN ITALY SAUDI ARABIA BOLIVIA JAMAICA SENEGAL BOSNIA AND HERZEGOVINA JAPAN SERBIA BOTSWANA JORDAN SEYCHELLES BRAZIL KAZAKHSTAN SIERRA LEONE BULGARIA KENYA SINGAPORE BURKINA FASO KOREA, REPUBLIC OF SLOVAKIA CAMEROON KUWAIT SLOVENIA CANADA KYRGYZSTAN SOUTH AFRICA CENTRAL AFRICAN LATVIA SPAIN REPUBLIC LEBANON SRI LANKA CHAD LIBERIA SUDAN CHILE LIBYAN ARAB JAMAHIRIYA SWEDEN CHINA LIECHTENSTEIN SWITZERLAND COLOMBIA LITHUANIA SYRIAN ARAB REPUBLIC COSTA RICA LUXEMBOURG TAJIKISTAN CÔTE D’IVOIRE MADAGASCAR THAILAND CROATIA MALAWI THE FORMER YUGOSLAV CUBA MALAYSIA REPUBLIC OF MACEDONIA CYPRUS MALI TUNISIA CZECH REPUBLIC MALTA TURKEY DEMOCRATIC REPUBLIC MARSHALL ISLANDS UGANDA OF THE CONGO MAURITANIA UKRAINE DENMARK MAURITIUS UNITED ARAB EMIRATES DOMINICAN REPUBLIC MEXICO UNITED KINGDOM OF ECUADOR MONACO GREAT BRITAIN AND EGYPT MONGOLIA NORTHERN IRELAND EL SALVADOR MONTENEGRO UNITED REPUBLIC ERITREA MOROCCO OF TANZANIA ESTONIA MOZAMBIQUE UNITED STATES OF AMERICA ETHIOPIA MYANMAR URUGUAY FINLAND NAMIBIA UZBEKISTAN FRANCE NETHERLANDS VENEZUELA GABON NEW ZEALAND VIETNAM GEORGIA NICARAGUA YEMEN GERMANY NIGER ZAMBIA GHANA NIGERIA ZIMBABWE The Agency’s Statute was approved on 23 October 1956 by the Conference on the Statute of the IAEA held at United Nations Headquarters, New York; it entered into force on 29 July 1957. The Headquarters of the Agency are situated in Vienna. Its principal objective is “to accelerate and enlarge the contribution of atomic energy to peace, health and prosperity throughout the world’’. SERIES FISSION PRODUCT YIELD DATA FOR THE TRANSMUTATION OF MINOR ACTINIDE NUCLEAR WASTE INTERNATIONAL ATOMIC ENERGY AGENCY VIENNA, 2008 COPYRIGHT NOTICE All IAEA scientific and technical publications are protected by the terms of the Universal Copyright Convention as adopted in 1952 (Berne) and as revised in 1972 (Paris). The copyright has since been extended by the World Intellectual Property Organization (Geneva) to include electronic and virtual intellectual property. Permission to use whole or parts of texts contained in IAEA publications in printed or electronic form must be obtained and is usually subject to royalty agreements. Proposals for non-commercial reproductions and translations are welcomed and considered on a case-by-case basis. Enquiries should be addressed to the IAEA Publishing Section at: Sales and Promotion, Publishing Section International Atomic Energy Agency Wagramer Strasse 5 P.O. Box 100 1400 Vienna, Austria fax: +43 1 2600 29302 tel.: +43 1 2600 22417 email: [email protected] http://www.iaea.org/books © IAEA, 2008 Printed by the IAEA in Austria April 2008 STI/PUB/1286 IAEA Library Cataloguing in Publication Data Fission product yield data for the transmutation of minor actinide nuclear waste. – Vienna : International Atomic Energy Agency, 2008. p. ; 24 cm. STI/PUB/1286 ISBN 92–0–115306–6 Includes bibliographical references. 1. Fission products — Measurement. 2. Radioactive wastes. 3. Transmutation (Chemistry). 4. Neutron cross-sections. 5. Fission cross-sections — Measurement. I. International Atomic Energy Agency. IAEAL 08–00504 FOREWORD A report issued by an international study group for the transmutation of nuclear waste using accelerator driven systems has highlighted the need for specific sets of nuclear data. These authoritative requirements include fission product yields at an intermediate incident neutron energy of up to 150 MeV. Before the start of the present CRP on fission product yield data for the transmutation of nuclear waste, only four types of evaluated fission yield data sets existed, namely for spontaneous fission, and for fission induced by thermal, fast (or fission) spectrum, and by ‘high energy’ (14–15 MeV) neutrons. A new type of evaluation for energy dependent neutron induced fission yields was required for this project. In view of the scarcity of experimental data, such an evaluation has to be based on systematics and theoretical model calcula- tions. Unlike fission cross-sections, where nuclear models are being used successfully for the calculation of unmeasured cross-section ranges, such models or theories existed only for low energy fission yields. Hence the CRP participants entered a completely new field of research for which the progress and outcome were unpre- dictable. Clearly the ultimate goal of such an effort, namely an evaluation of energy dependent fission yields, could not be realized within the perceived lifetime of a CRP. The main emphasis of the CRP was on the development of adequate systematics and models for the calculation of energy dependent fission yields up to 150 MeV incident neutron energy. Several problems had to be solved, such as the correct choice of model parameters and multiplicity distributions of emitted neutrons, and the effect of multi-chance fission. Models and systematics have been tested for lower energy yields, but they failed to reproduce recent experimental data, particularly at higher energies, and the parameters had to be modified. Other models have been developed from the analysis of experimental data in order to derive systematic dependences and they were adapted in the course of the CRP to predict fission product yields. The valuable role of the CRP in such work became evident during the meetings, at which the discussions formed a fruitful basis for improvements to the models. The benchmark exercise revealed the true worth and predictive capabilities of the systematics and theoretical models developed during the course of the CRP. Necessary improvements and the direction of future studies were also revealed. These models have the potential to give reliable predictions after implementation of the improvements suggested in this report. A brief introduction and the various studies undertaken by individual participants are given at the beginning of this publication, followed by a detailed description of the resulting overall achievements, conclusions and recommendations of the CRP and a summary of the benchmark exercise and results. Additional material is included on the enclosed CD-ROM, including compilations of the fission product yields, unedited papers and all details of the benchmark exercise. The IAEA wishes to thank all CRP participants for their contributions to the project. The IAEA responsible officers were M. Lammer and A.L. Nichols of the Division of Physical and Chemical Sciences. CONTRIBUTING AUTHORS Denschlag, J.-O. Johannes-Gutenberg-Universität Mainz, Germany Duijvestijn, M.C. Nuclear Research and Consultancy Group, Netherlands Ethvignot, Th. Service de Physique Nucléaire, Commissariat à l’Énergie Atomique, France Hambsch, F.-J. EC Joint Research Centre, Institute for Reference Materials and Measurements, Belgium Katakura, J. Japan Atomic Energy Agency, Japan Kibkalo, Yu.V. SC Institute for Nuclear Research, Ukraine Lammer, M. International Atomic Energy Agency Tingjin, Liu China Institute of Atomic Energy, China Maslov, V.M. Belarus Academy of Sciences, Belarus Mills, R.W. Nexia Solutions, British Nuclear Fuels plc, United Kingdom Wahl, A.C. Los Alamos National Laboratory, United States of America Zhdanov, S.V. National Nuclear Centre, Kazakhstan TECHNICAL ASSISTANCE Nichols, A.L. International Atomic Energy Agency EDITORIAL NOTE The use of particular designations of countries or territories does not imply any judgement by the publisher, the IAEA, as to the legal status of such countries or territories, of their authorities and institutions or of the delimitation of their boundaries. The mention of names of specific companies or products (whether or not indicated as registered) does not imply any intention to infringe proprietary rights, nor should it be construed as an endorsement or recommendation on the part of the IAEA. CONTENTS 1. FISSION PRODUCT YIELDS: MINOR ACTINIDES UP TO 150 MeV. . . . . . . . . . . . . . . . . . . . . . . 1 M. Lammer 1.1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1. Transmutation of nuclear waste . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.2. New approach to fission yield evaluations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.3. Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2. Modelling of fission fragment mass distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.1. Fission process . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.2. Fission fragment mass distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.3. Prediction of fission yields: Systematics and theoretical models . . . . . . . . . . . . . . . . . . . . . 3 1.3. Problems to be addressed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3.1. Experimental data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3.2. Collection of experimental data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3.3. Treatment of measured data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3.4. Multi-chance fission . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3.5. Neutron emission data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3.6. Development of systematics and models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3.7. Nuclear charge distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4. CRP participants and tasks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4.1. Participants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4.2. Tasks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 References to Section 1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2. EXPERIMENTAL DATA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1. Measurements of product yields from fission reactions induced by high energy neutrons, protons, deuterons, alpha particles, other charged particles and photons — Collection of references. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 J.-O. Denschlag References to Section 2.1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2. Measurements of the energy dependence of fission yields for 238U(n,f) from threshold to 200 MeV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Th. Ethvignot 2.2.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.2.2. Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.2.3. Results. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.2.4. Conclusions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 References to Section 2.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3. EVALUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.1. Actinide nucleon induced fission cross-sections up to 200 MeV . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 V.M. Maslov 3.1.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.1.2. Statistical model. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.1.3. Analysis of fission cross-sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.1.4. Concluding remarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 References to Section 3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.2. Evaluated reference fission yield data file. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Liu Tingjin, Liang Qichang 3.2.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 3.2.2. Evaluation method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 3.2.3. Results and recommendations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.2.4. Concluding remarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 References to Section 3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 3.3. Evaluation of mass distribution data from 252Cf spontaneous fission . . . . . . . . . . . . . . . . . . . . . . 87 Liu Tingjin 3.3.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 3.3.2. Collection and evaluation of experimental data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 3.3.3. Processing of evaluated experimental data. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 3.3.4. Results and discussion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 3.3.5. Concluding remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 References to Section 3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 Annex 3.3.1. Evaluated experimental data for 252Cf spontaneous fission mass distribution. . . . 96 Annex 3.3.2. Evaluated data set 1 for 252Cf spontaneous fission mass distribution: Normal spline fit without any restriction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Annex 3.3.3. Evaluated data set 2 for 252Cf spontaneous fission mass distribution: Spline fit with symmetric reflection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 3.4. Examination of possible evaluation methods for future energy dependent fission product yield data sets required for minor actinide incineration, and other considerations. . . . . . . . . . . . 101 R.W. Mills 3.4.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 3.4.2. Thoughts on future evaluations utilizing the fission product yield methodologies described by CRP participants. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 3.4.3. Collation of references and data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 3.4.4. Benchmark exercise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 3.4.5. Progress in the UK fission product yield file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 References to Section 3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 4. SYSTEMATICS AND MODELS FOR THE PREDICTION OF FISSION YIELDS . . . . . . . . . . . . 111 4.1. Prediction of fission mass yield distributions based on cross-section evaluations . . . . . . . . . . . . . 111 F.-J. Hambsch 4.1.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 4.1.2. Statistical model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 4.1.3. Results and discussion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 4.1.4. Concluding remarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 References to Section 4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 4.2. Systematics of fission product yields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 A.C. Wahl 4.2.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 4.2.2. Mass distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118 4.2.3. Nuclear charge distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 4.2.4. Models for neutron emission . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 4.2.5. Fast neutron induced fission. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 4.2.6. Calculation of fission yields from systematics — CYF program . . . . . . . . . . . . . . . . . . . . . 145 Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 References to Section 4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 4.3. Five Gaussian systematics for fission product mass yields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 Jun-ichi Katakura 4.3.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 4.3.2. Basic structure of present systematics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 4.3.3. Examination of parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 4.3.4. Description of parameters in the systematics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 4.3.5. Comparisons with measured mass yields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 4.3.6. Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 References to Section 4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 4.4. Phenomenological model for fragment mass and charge distribution in actinide nuclei fission . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 Yu.V. Kibkalo 4.4.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 4.4.2. Energy dependence of nuclear fission cross-sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158 4.4.3. Angular momentum dependence of fission fragment mass distributions. . . . . . . . . . . . . . 159 4.4.4. Fragment mass distributions for photofission. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 4.4.5. Fragment mass distributions from fission by α particles. . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 4.4.6. Fragment mass distribution for 238U fission by neutrons . . . . . . . . . . . . . . . . . . . . . . . . . . . 168 4.4.7. Fragment mass distribution for spontaneous fission . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171 4.4.8. Description of fission fragment mass and charge distributions . . . . . . . . . . . . . . . . . . . . . . 171 4.4.9. Concluding remarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180 Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 References to Section 4.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 4.5. Modal approach to the description of fragment mass yields in neutron and proton induced fission of actinides at incident particle energies from 5 to 200 MeV . . . . . . . . . . . . . . . . . . . . . . . . 183 D.M. Gorodisskiy, S.I. Mulgin, A.Ya. Rusanov, S.V. Zhdanov 4.5.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 4.5.2. Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 4.5.3. Multi-modal analysis of MEDs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188 4.5.4. Discussion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 4.5.5. Systematics of fragment mass yields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 4.5.6. PYF code. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206 4.5.7. Conclusions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207 References to Section 4.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208 4.6. Fission yields in nucleon induced reactions at intermediate energies . . . . . . . . . . . . . . . . . . . . . . . 210 M.C. Duijvestijn, A.J. Koning 4.6.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210 4.6.2. Compilation of proton induced fission product isotope yields. . . . . . . . . . . . . . . . . . . . . . . 210 4.6.3. Activation experiment on proton induced fission of natW, 197Au, natPb, 208Pb and 232Th at 190 MeV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210 4.6.4. Predictions of fission yields at intermediate energies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 4.6.5. Summary and outlook. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233 References to Section 4.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 236 5. NEW MODELS AND SYSTEMATICS: DEFINITIONS AND TESTING . . . . . . . . . . . . . . . . . . . . . 239 M. Lammer 5.1. Output and products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 5.1.1. Data files . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 5.1.2. Dedicated studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 5.1.3. Models and systematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 240 5.2. Benchmark exercise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 5.2.1. Benchmark exercise — general remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 5.2.2. Summary of results and intercomparisons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 5.2.3. Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 5.3. Conclusions and recommendations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249 References to Section 5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251

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IAEA Library Cataloguing in Publication Data. Fission product yield data for the transmutation of minor actinide nuclear waste. – Vienna : International Atomic Energy Agency, 2008. p. ; 24 cm. STI/PUB/1286. ISBN 92–0–115306–6. Includes bibliographical references. 1. Fission products — Mea
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