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Neutron thermalization and spectra; Thermalisation et spectres de neutrons

Abstract

The investigation of the neutron spectra in thermal reactors is taking an increasing importance due to the role played in them by Plutonium. Whatever the absorption law, it has been remarked that the scattering law in the.moderator affects the spectrum only through certain overall properties. It would thus seem possible to develop a simplified representation of this effect which would lead to a clear understanding of the phenomena, reducing at the same time the volume of numerical calculations required.. The synthetic model employed by the authors presents the advantage of reducing the determination of the spectra in an homogeneous medium to the resolution of a second order differential equation, like the Wigner-Wilkins model (monoatomic gaseous hydrogen) and the generalized heavy gas model of J. Horowitz which, incidentally, are both special cases. The model is, on the other hand, sufficiently general to allow a correct treatment of the situations met with in practice and in particular the important case where the presence of Plutonium introduces absorption resonances at low energy. Actually, the chemical or crystalline bonds of the moderator are introduced into the proposed model through two energy functions. These functions have been adjusted for the usual moderators (Graphite heavy water,  More>>
Authors:
Cadilhac, M; Soule, J L; Tretiakoff, O [1] 
  1. Commissariat a l'Energie Atomique, Saclay (France). Centre d'Etudes Nucleaires
Publication Date:
Jul 01, 1964
Product Type:
Technical Report
Report Number:
CEA-R-2661
Resource Relation:
Other Information: 18 refs
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; COMPUTER CODES; MODERATORS; NEUTRON SPECTRA; THERMAL REACTORS; THERMALIZATION; WIGNER-WILKINS MODEL
OSTI ID:
20668355
Research Organizations:
CEA Saclay, 91 - Gif-sur-Yvette (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR05R2661107056
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
21 pages
Announcement Date:
Dec 19, 2005

Citation Formats

Cadilhac, M, Soule, J L, and Tretiakoff, O. Neutron thermalization and spectra; Thermalisation et spectres de neutrons. France: N. p., 1964. Web.
Cadilhac, M, Soule, J L, & Tretiakoff, O. Neutron thermalization and spectra; Thermalisation et spectres de neutrons. France.
Cadilhac, M, Soule, J L, and Tretiakoff, O. 1964. "Neutron thermalization and spectra; Thermalisation et spectres de neutrons." France.
@misc{etde_20668355,
title = {Neutron thermalization and spectra; Thermalisation et spectres de neutrons}
author = {Cadilhac, M, Soule, J L, and Tretiakoff, O}
abstractNote = {The investigation of the neutron spectra in thermal reactors is taking an increasing importance due to the role played in them by Plutonium. Whatever the absorption law, it has been remarked that the scattering law in the.moderator affects the spectrum only through certain overall properties. It would thus seem possible to develop a simplified representation of this effect which would lead to a clear understanding of the phenomena, reducing at the same time the volume of numerical calculations required.. The synthetic model employed by the authors presents the advantage of reducing the determination of the spectra in an homogeneous medium to the resolution of a second order differential equation, like the Wigner-Wilkins model (monoatomic gaseous hydrogen) and the generalized heavy gas model of J. Horowitz which, incidentally, are both special cases. The model is, on the other hand, sufficiently general to allow a correct treatment of the situations met with in practice and in particular the important case where the presence of Plutonium introduces absorption resonances at low energy. Actually, the chemical or crystalline bonds of the moderator are introduced into the proposed model through two energy functions. These functions have been adjusted for the usual moderators (Graphite heavy water, light water) by means of known theoretical scattering laws. In a heterogeneous medium, the most important factor is the mean spectrum in the fuel of one cell, the knowledge of which is allowed by a generalization of the Amouyal-Benoist-Horowitz method. The proposed model lends itself particularly well to such calculations and also allows the effects of re-thermalization (for instance when the cooling system and the moderator are at different temperatures) to be treated. Finally, some examples are given of practical applications: codes for spectra and effective cross sections computations (editing of tables), codes for the treatment of neutron balance in a lattice or for the interpretation of experiments (spectral indices critical experiments on plutonium, diffusion parameters). (authors) [French] L'etude des spectres de neutrons regnant dans les reacteurs thermiques a pris une importance croissante en raison du role qu'y joue le plutonium. Quelle que soit par ailleurs la loi d'absorption, on constate que la loi de diffusion du moderateur n'agit sur le spectre que par certaines proprietes globales. Il est donc a priori possible de mettre au point une representation simplifiee de cette action, qui conduise a une comprehension claire des phenomenes tout en reduisant le volume des calculs numeriques necessaires. Le modele synthetique adopte par les auteurs presente l'avantage de ramener la determination des-spectres en milieu homogene a la resolution d'une equation differentielle du second ordre, comme le modele de Wigner-Wilkins (hydrogene gazeux monoatomique) et le modele gaz lourd generalise de J. Horowitz, qui en sont d'ailleurs l'un et l'autre des cas particuliers. Mais il est d'autre part assez general pour permettre de traiter correctement les situations rencontrees en pratique et en particulier le cas important ou la presence de plutonium fait apparaitre des resonances d'absorption a basse energie. Les liaisons chimiques ou cristallines du moderateur interviennent en effet, dans le modele propose, par l'intermediaire de deux fonctions de l'energie. Ces fonctions ont ete ajustees, pour les moderateurs usuels (Graphite. Eau lourde. Eau legere), a partir de lois de diffusion theoriques connues. En milieu heterogene, il importe avant tout de bien connaitre le spectre moyen dans le combustible d'une cellule ce que permet une generalisation de la methode d'Amouyal-Benoist-Horowitz. Le modele presente se prete particulierement bien a ces calculs et permet de traiter egalement les effets de rethermalisation (lorsque par exemple le refroidisseur est a une temperature differente de celle du moderateur). On donne enfin des exemples d'utilisation pratique: codes permettant de calculer les spectres, les sections efficaces effectives (publication de tables) de traiter les problemes de bilan neutronique dans un reseau ou d'interpreter des experiences (indices de spectre experiences critiques avec Plutonium, parametres de diffusion). (auteurs)}
place = {France}
year = {1964}
month = {Jul}
}