K Shell X-Ray Fluorescence Parameters of Some Elements in the Atomic Range

Abstract

The production cross sections <svg style="vertical-align:-5.65115pt;width:21.299999px;" id="M2" height="15.1375" version="1.1" viewBox="0 0 21.299999 15.1375" width="21.299999" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,8.038)"><path id="x1D70E" d="M548 455q-32 -77 -74 -77q-37 0 -103 10l-3 -2q36 -30 48.5 -62t12.5 -80q0 -103 -75 -179.5t-175 -76.5q-70 0 -113 45t-43 128q0 115 83.5 200.5t209.5 85.5q31 0 77.5 -4t67.5 -4q36 0 62 30zM350 274q0 54 -17 86q-19 35 -57 35q-50 0 -90 -37.5t-59 -91.5t-19 -109&#xA;q0 -61 24.5 -96.5t65.5 -35.5q51 0 87.5 46.5t50.5 100.5t14 102z" /></g> <g transform="matrix(.012,-0,0,-.012,9.663,12.112)"><path id="x4B" d="M667 0h-153l-248 291q-28 32 -54 27v-190q0 -65 14.5 -80t77.5 -20v-28h-260v28q58 5 71 20t13 80v392q0 48 -6 66.5t-22 25.5t-59 10v28h258v-28q-59 -5 -73 -20.5t-14 -81.5v-175q29 6 70 45q101 97 167 178q23 27 20 37t-36 14l-23 3v28h240v-28q-57 -5 -86 -18.5&#xA;t-76 -56.5q-40 -35 -177 -175q97 -124 235 -272q39 -41 61.5 -54t59.5 -18v-28z" /></g> <g transform="matrix(.008,-0,0,-.008,17.675,14.975)"><path id="x1D456" d="M244 607q0 -25 -15.5 -43t-37.5 -18q-19 0 -32 13t-13 35q0 21 15 41t39 20q20 0 32 -14t12 -34zM222 91q-29 -33 -79 -68t-75 -35q-13 0 -19 7.5t-6 31t10 65.5l62 253q5 26 -1 26q-21 0 -72 -43l-13 24q43 40 91 68t71 28q30 0 10 -78l-71 -274q-8 -30 3 -30&#xA;q16 0 76 48z" /></g> </svg>, the fluorescence yield <svg style="vertical-align:-3.27605pt;width:26.025px;" id="M3" height="15.25" version="1.1" viewBox="0 0 26.025 15.25" width="26.025" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,11.112)"><path id="x1D44A" d="M1004 650l-6 -29q-54 -6 -71 -19.5t-51 -74.5l-271 -539h-33l-98 506h-3l-258 -506h-30l-78 532q-10 67 -21.5 80t-66.5 21l6 29h241l-8 -29l-26 -5q-34 -6 -41 -16t-3 -47l59 -425h4l251 510h31l102 -510h2q150 299 198 423q14 40 8.5 48.5t-47.5 16.5l-28 5l7 29h231z&#xA;" /></g> <g transform="matrix(.012,-0,0,-.012,17.338,15.187)"><use xlink:href="#x4B"/></g> </svg>, K shell X-ray intensity ratio <svg style="vertical-align:-7.35059pt;width:50.262501px;" id="M4" height="21.225" version="1.1" viewBox="0 0 50.262501 21.225" width="50.262501" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,12.013)"><path id="x1D43C" d="M414 650l-6 -28q-63 -4 -78.5 -17.5t-27.5 -71.5l-77 -416q-11 -58 0.5 -71.5t77.5 -17.5l-5 -28h-275l8 28q63 4 79.5 18.5t27.5 70.5l80 416q11 57 -2 71t-81 18l6 28h273z" /></g> <g transform="matrix(.012,-0,0,-.012,7.487,16.088)"><use xlink:href="#x4B"/></g> <g transform="matrix(.008,-0,0,-.008,15.5,18.95)"><path id="x1D6FD" d="M558 587q0 -32 -14 -61t-40 -53.5t-48.5 -41t-54.5 -36.5q144 -51 144 -174q0 -55 -43.5 -108t-104.5 -87q-77 -42 -131 -42q-31 0 -54 20t-31 47l11 18q48 -29 108 -29q79 0 119.5 43t40.5 109t-44.5 107.5t-119.5 50.5l22 47q34 1 65 21q96 61 96 157q0 42 -24 67.5&#xA;t-62 25.5q-24 0 -43.5 -9t-35 -29.5t-27 -44t-22.5 -63t-19.5 -75.5t-18.5 -91q-57 -294 -68 -380q-26 -190 -35 -200q-26 -31 -97 -37l-4 26q19 9 48 170l77 413q23 121 52.5 187.5t83.5 114.5q70 62 148 62q51 0 88.5 -34t37.5 -91z" /></g> <g transform="matrix(.017,-0,0,-.017,21.688,12.013)"><path id="x2F" d="M368 703l-264 -866h-60l265 866h59z" /></g><g transform="matrix(.017,-0,0,-.017,28.691,12.013)"><use xlink:href="#x1D43C"/></g> <g transform="matrix(.012,-0,0,-.012,36.112,16.088)"><use xlink:href="#x4B"/></g> <g transform="matrix(.008,-0,0,-.008,44.125,18.95)"><path id="x1D6FC" d="M545 106q-67 -118 -134 -118q-24 0 -40 37.5t-30 129.5h-2q-47 -72 -103 -119.5t-108 -47.5q-47 0 -76 45.5t-29 119.5q0 113 85 204t174 91q47 0 70 -33.5t43 -119.5h3q32 47 80 140l55 13l10 -9q-47 -80 -138 -201q17 -99 27.5 -136t22.5 -37q23 0 69 61zM333 204&#xA;q-14 98 -31 149.5t-50 51.5q-49 0 -94 -70t-45 -164q0 -55 15.5 -86t40.5 -31q70 0 164 150z" /></g> </svg>, the vacancy transfer probabilities from K to L shell <svg 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transform="matrix(.017,-0,0,-.017,8.222,11.537)"><use xlink:href="#x30"/></g><g transform="matrix(.017,-0,0,-.017,21.09,11.537)"><use xlink:href="#x2264"/></g><g transform="matrix(.017,-0,0,-.017,35.794,11.537)"><use xlink:href="#x1D44D"/></g><g transform="matrix(.017,-0,0,-.017,52.776,11.537)"><use xlink:href="#x2264"/></g><g transform="matrix(.017,-0,0,-.017,67.48,11.537)"><use xlink:href="#x35"/></g><g transform="matrix(.017,-0,0,-.017,75.639,11.537)"><use xlink:href="#x30"/></g> </svg> were measured. The samples were excited by 80.998&#x2009;keV gamma rays from a 10&#x2009;mCi <sup >133</sup>Ba radioactive source. The K X-rays emitted by samples were detected by using a CdTe detector. These parameters have been theoretically calculated, also. The experimental values were compared with the theoretical and semiempirical values. Our experimental values closely agreed with theoretical values and other experimental values.