Sommerfeld screening parameters for S_1/2terms in X-ray spectra

A new method for the calculation of Sommerfeld screening parameter σ1 in x-ray spectra

“…This table also lists the values of ½´Ä¾ Ä ¿ µ ½´Ä½ µ as obtained in the present study. It is seen that these values are in very good agreement with the value 1.20 calculated by Gokhale and Misra [20] making use of the Hertz law [21]. It is remarkable that the present study has brought out the constancy of ½´Ä¾ Ä ¿ µ ½´Ä½ µ as a function of in a natural way.…”

“…It is interesting to compare the values of ½´Ä½ µ and ½´Ä¾ Ä ¿ µ with those obtained earlier by Gokhale and Misra [18,20]. Such a comparison is shown in table 4 which brings out the excellent agreement between the values of the screening constants reported in the present study and those published by Gokhale and Misra.…”

“…in expression (4) are ½ ¼ ½ and ¼ ¾ which is equal to ¾ since in a first approximation, the value of inner screening parameter ¾ is almost independent of [1,17,20]. Writing ¡ ½´ ¼ µ 1 ¼ µ 1 µ ¡ 1 ¼ µ for the magnitude of the difference between ½ of the atomic number concerned and ¼ ½ of another atomic number ¼ ¦Ö, the screening parameter ¼ ½ in (4) may be expressed as…”

“…They also extended their calculation of ½ for Ë ½ ¾ levels [20]. However, such methods cannot be used for the calculation of ½ and ¾ for Ë ½ ¾ levels which do not form a spin doublet with any other level.…”

“…56, No. 6, June 2001 Average values of 17.200 17.350 17.515 17.690 17.855 18.020 18.190 18.355 18.525 18.695 18.865 19.035 19.215 19.405 19.565 15.996 16.143 16.308 16.482 16.647 16.811 16.980 17.148 17.316 17.486 17.657 17.826 18.001 18.175 18.350 17.196 17.343 17.508 17.682 17.847 18.011 18.180 18.348 18.516 18.686 18.857 19.026 19.201 19.375 19.550 *Gokhale and Misra[18,20].…”