weighing-systems.com New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: 1010 MISCELLANEOUS F'UNCTIONS Table 27.9.5 [By use of symmetry relations, coefficients may be put in standard form j,< j,< j and m> 01 mz I m I j l I j I (j1jm1m2lj1j2jrn) -H E 0 0 1 % % yz 1 1 1 0. 70711 4% 4' 0. 70711 1.00000 -1 0 1 0 1 0 1 1 -1 0 1 0 1 1 - 0 0 0 1 1 H % w 0 0 0 1 1 2 - z H % % 0 0 1 1 2 0 0 0 0 1 1 1 2 2 yz yz H M w % 1 1 1 1 1 E 7 1 1 1 1 1 - j,= 1 1 1 1 1 1 % % 2 2 2 2 2 2 j z = % - 4% - 4% 4% - 4% 4% 4% 4% 4% 0. 70711 0.00000 -0.70711 0.70711 -0. 70711 0.81650 0.57735 1.00000 0.40825 0. 81650 * 0.40825 0.707ii 0.70711 1.00000 7% 4% 4 % ~ 0. 73030 - 4%~ -0.25820 -4% -0. 63246 4% 0. 63246 0. 70711 0. 70711 4% J?4 - 4 9 s -0. 77460 yz 73 0.86603 0. 50000 1.00000 0. 50000 0. 50000 -0. 50000 -0.50000 0. 70711 0.00000 4% ..... -4% -0.70711 4% 0. 70711 4%0 0.54772 4% 0.77460 -4% -0.70711 j g o 0.31623 4% 0. 77460 7% 0.63246 1.00000 Compiled from A. Simon, Numerical tables of the Clebseh-Gordan coef8- eients, Oak Ridge NatIOnal Laboratory Report 1718, Oak Ridge, Tenn. (1954) (with permission). [27.25] 127.261 127.271 E. U. Condon and G. A. Shortley, Theor of atomic spectra (Cambridge Univ. Press, h m - bridge, England, 1935). M. E. Rose, Elementary theory of angular mo- memtum (John Wiley & Sons, Inc., New York, N.Y., 1955). A. Simon, Numerical tables of the Clebsch-Gordan coefficients, Oak Ridge National Laboratory Report 1718, Oak Ridge, Tenn. (1954). C(j&j; mlwm) for all angular moments <%, 10D. 'See page 11. The page scan image above, and the text in the text box above, are contributions of the National Institute of Standards and Technology that are not subject to copyright in the United States. ©2000 ConvertIt.com, Inc. All rights reserved. Terms of Use.