41--tsh.. J. Halperin M. P. Lietzke ORNL-2823 EFFECTIVE CADMIUM CUTOFF ENERGIES SUPPLEMENT OAK RIDGE NATIONAL LABORATORY. R. W.

Transcription

1 41--tsh.. ORNL-2823 '-~]\ Suppleent 'T UC-4-Cheistry-General EFFECTIVE CADMIUM CUTOFF ENERGIES SUPPLEMENT R. W. Stoughton J. Halperin M. P. Lietzke OAK RIDGE NATIONAL LABORATORY operated by UNION CARBIDE CORPORATION for the U.S. ATOMIC ENERGY COMMISSION

2 DISCLAIMER This report was prepared as an account of work sponsored by an agency of the United States Governent. Neither the United States Governent nor any agency Thereof, nor any of their eployees, akes any warranty, express or iplied, or assues any legal liability or responsibility for the accuracy, copleteness, or usefulness of any inforation, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific coercial product, process, or service by trade nae, tradeark, anufacturer, or otherwise does not necessarily constitute or iply its endorseent, recoendation, or favoring by the United States Governent or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Governent or any agency thereof.

3 DISCLAIMER Portions of this docuent ay be illegible in electronic iage products. Iages are produced fro the best available original docuent.

4 , LEGAL NOTICE , This report was prepared as on account of Governent sponsored work. Neither the United States, nor the Coission, nor any person acting on behalf of the Coission : A. Makes any warranty or representation, expressed or iplied, with respect to the accuracy, copleteness, or usefulness of the inforation contained in this report, or that the use of any inforation, apparatus, ethod, or process disclosed in this report ay not infringe privately owned rights; or B. Assues any liabilities with respect to the use of, or for daages resulting fro the use of any inforation, apparatus, ethod, or process disclosed in this report. As used in the above,.. person acting on behalf of the Coission" includes any eployee or contractor of the Coission, or eployee of such contractor, to the extent that such eployee or contractor of the Coission, or eployee of such contractor prepares, disseinates, or provides access to, any inforation pursuant to his eployent or contract with the Coission, or his eployent with such contractor.

5 ORNL-2823 SUPPLEMENT ti. Contract No. W-7405~eng~26 CHEMISTRY DIVISION EFFECTIVE CADMIUM CU.OOFF ENERGIES SUPPLEMENT R.: vi--. Stoughton, J. Halperin and M.. P. Lietzke DATE ISSUED OAK RIDGE NATIONAL LABORATORY Oak Ridge, Tennessee operated by UNION CARBIDE CORPORATION for t.he U. S ATOMIC ENERGY COMMISSION ~-

6 -2- In ORNL-2823, 11 Effective Cadiu Cutoff Energies, 11 effective cutoffs were presented for point 1/v saples inside of spherical and cylindrical boron and cadiu filters. The odel assued a Maxwellian theral plus a 1/_E epitheral flux and the ratio r = nv (the conventional theral flux)/ - --o r (the epitheral flux per unit ln ~) '\-Tas varied. Other variables were the thickness of the filter and the characteristic Maxwellian energy E (i.e., - the energy corresponding to the odal or ost probable velocity). In the cases of the cylinders only a single value of the height/diaeter (~~) of 2 was presented. Soe cutoff energies have also been calculated for /~ values of 1, 3, 6 and for cadiu.cylinders; these are presented in Table I of this suppleent along with the values for ~~ = 2 for coparison. Siilar values for boron filters for H/D values of 1 and 2 are sho'\oln in / i l Table II. ' '..

7 -3- Table I Effective Cd Cutoffs E (in ev) for Cylinders and Fractions of c Reactions Below Cutoffs FRACT for Various Values of the Characteristic Maxwellian Energy E and of the Height/Diaeter (H/D) of the Filters r = nv /. o r ilo E FRACT E FRACT E FRACT E FRACT Cd c c c c. E = ; H/D = ) ~ " ' '.. ~.' " lf.. E = ; H/D = ) )) E = ; H/D = 3 10.) )44.1$1.467 ~ ) o ~ E = ; H/D ~ 6, i ~ ~

8 -4- Table I (Contq..) ' ;, r = n~ 1 o r ' ils E FRACT E FRACT E FRACT E FRACT c c c c Cd -- ' E = ; H/D = ' ' s t/r.076'. 6)? ' : Ejn = 0.. 0)5; H/D = ' '.071' ?3..' ': '' o, i4.:..0?,4..614,..074-" ~-7i8'.076 E = o~035; H/D = ~ ) ~098 g o ? E = 0.035; H/D = l.j i7.074.~ on o ;,6:; : ~ \.

9 -5- Table I (Contd.) r = ~v / o r 'ils E FRACT E FRACT E FRACT E FRACT Cd c c c c E = 0.05; H/D = C ~ E = 0.05; H/D = ~ ~ ) ' :.' E = 0.05; H/D = 3.. :' , l-~ , E = ; r = 12 Ill.. H/D = 1 H/D = ' t ' \

10 ,.! Table IT Effective Boron Cutoff Energies E c (in ev) for Cylindrical Filters ' and Fractions ' ' of Below Cutoffs FRACT for Various Values of Thickness (g B/c 2 ), of the Reactio~s Height/Diaeter (H/D), of the:ha~io!_;and of tbe.characteristic MaA'YrellianEnergy E Boron Thickne~s (g/c ) r = 0 r = 12 I' = 20 r = 30 E FRACT E FRACT E FRACT E FRACT. c c c c :~. E =.0253; Height/Diaeter = ) ) ) )4 : ; E ~.92.) )7 =.0253; Height/Diaeter ) )7 E =.0)5; H/D = l = ) , ~ ? I 0'\ I ) ) ;< l E =.0)5; H/D = o ) ! / ?6:.161 4, ,67 6)

11 -7- ORNL 282) Cheistry~eneral... INTERNAL DISTRIBUTION,.'\ ~ C. E. Center 39 T. A. Lincoln Biology Library 40. A. s. Householder Health Physics Library 41. c. s. Harrill. Central Research Library 42. c. E. Winters Reactor Experiental 43. H. E. Seagren Engineering Library 44. D. Phillips Laboratory Records Departent 45. D, S. Billington Laboratory Records, ORNL R. C. 46. J. A. Lane A. M. Weinberg 47. M. J. Skinner L. B. Elet (K-25) 48. W. H. Jordan J. P. Murray (Y-12) 49. G. E. Boyd J. A. Swartout 50. R. A. Charpie E. H. Taylor 51. P. M. Reyling E. D. Shipley R. w. Stoughton S. C. Lind 103. J. Halperin M. L. Nelson 104. M. P. Lietzke c. P. Kei 105. Bryce Crawford (consultant) J. H. Frye, Jr T. H. Pavies (consultant). R. S. Livingston 107. C. E. Larson (consultant) F. L. Culler 108. J. D. Roberts (consultant) A. H. Snell 109. G. T. Seaberg (consultant) A. Hollaender 110. ORNL - Y-12 Technical Library, M. T. Kelley Docuent Reference Section K.' Z. Morgan ' EXTERNAL DISTRIBUTION Division of Research and Developent, AEC, ORO Given distribution as shown in TID-4500 (15 ed.) under CheistrY...General category.