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Relativistic distorted-wave collision strengths for transitions in the 67 Li-like, F-like and Na-like ions with
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Relativistic distorted-wave collision strengths have been calculated for all possible pan id="mmlsi189" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si189.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=a22aa04445a45e03de0b411acc29d37b" title="Click to view the MathML source">Δn=0pan>pan class="mathContainer hidden">pan class="mathCode">Δn=0pan>pan>pan> transitions, where pan id="mmlsi192" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si192.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=b1f12f013d762dcd6b9019f46bc0bb08" title="Click to view the MathML source">npan>pan class="mathContainer hidden">pan class="mathCode">npan>pan>pan> denotes the valence shell of the ground level, in the 67 Li-like, F-like and Na-like ions with pan id="mmlsi5" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si5.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=236c42fb2a841eed6328a44fa21a0ab6" title="Click to view the MathML source">Zpan>pan class="mathContainer hidden">pan class="mathCode">Zpan>pan>pan> in the range pan id="mmlsi190" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si190.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=f73bcd0f24bafb1529f5f0527edbe8b5" title="Click to view the MathML source">26≤Z≤92pan>pan class="mathContainer hidden">pan class="mathCode">26Z92pan>pan>pan>. This choice produces 3 transitions with pan id="mmlsi195" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si195.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=37efbde8ee4625f36e54565dd906724a" title="Click to view the MathML source">n=2pan>pan class="mathContainer hidden">pan class="mathCode">n=2pan>pan>pan> in the Li-like and F-like ions, and 10 transitions with pan id="mmlsi196" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si196.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=51ca24b0b7e8aa321e77e9bbba8e1aaa" title="Click to view the MathML source">n=3pan>pan class="mathContainer hidden">pan class="mathCode">n=3pan>pan>pan> in the Na-like ions. For the Li-like and F-like ions, the calculations were made for the six final, or scattered, electron energies pan id="mmlsi197" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si197.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=4ed586fb7272a34eb2786e054ed508bc" title="Click to view the MathML source">Ep>′p>=0.008,0.04,0.10,0.21,0.41pan>pan class="mathContainer hidden">pan class="mathCode">p>E′p>=0.008,0.04,0.10,0.21,0.41pan>pan>pan>, and 0.75, where pan id="mmlsi52" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si52.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=514d2b1597e42814fa2622b6276c82ca" title="Click to view the MathML source">Ep>′p>pan>pan class="mathContainer hidden">pan class="mathCode">p>E′p>pan>pan>pan> is in units of pan id="mmlsi199" class="mathmlsrc">pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=18d06792edf3e44950ded7dd4b338b56">View the MathML sourcepxl.gif" data-inlimgeid="1-s2.0-S0092640X16300080-si199.gif">pt>View the MathML sourcep://origin-ars.els-cdn.com/content/image/1-s2.0-S0092640X16300080-si199.gif">pt>pan class="mathContainer hidden">pan class="mathCode">p>Zeff2p>pan>pan>pan> Ry with pan id="mmlsi200" class="mathmlsrc">pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=f0be57334e77c9f9054b5f8826ccda56">View the MathML sourcep: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0092640X16300080-si200.gif">pt>View the MathML sourcep://origin-ars.els-cdn.com/content/image/1-s2.0-S0092640X16300080-si200.gif">pt>pan class="mathContainer hidden">pan class="mathCode">Zeff=Z1.66pan>pan>pan> for Li-like ions and pan id="mmlsi201" class="mathmlsrc">pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=06eb3401919359a66fbdea78a5ad1d20">View the MathML sourcep: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0092640X16300080-si201.gif">pt>View the MathML sourcep://origin-ars.els-cdn.com/content/image/1-s2.0-S0092640X16300080-si201.gif">pt>pan class="mathContainer hidden">pan class="mathCode">Zeff=Z6.667pan>pan>pan> for F-like ions. For the Na-like ions, the calculations were made for the six final electron energies pan id="mmlsi202" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300080&_mathId=si202.gif&_user=111111111&_pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=7c323200088d8988ca94964704dfcda0" title="Click to view the MathML source">Ep>′p>=0.0025,0.015,0.04,0.10,0.21pan>pan class="mathContainer hidden">pan class="mathCode">p>E′p>=0.0025,0.015,0.04,0.10,0.21pan>pan>pan>, and 0.40, with pan id="mmlsi203" class="mathmlsrc">pii=S0092640X16300080&_rdoc=1&_issn=0092640X&md5=d46ad71254ba24c00ae2ffcfce676956">View the MathML sourcep: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0092640X16300080-si203.gif">pt>View the MathML sourcep://origin-ars.els-cdn.com/content/image/1-s2.0-S0092640X16300080-si203.gif">pt>pan class="mathContainer hidden">pan class="mathCode">Zeff=Z8.34pan>pan>pan>. In the present calculations, an improved “top-up” method, which employs relativistic plane waves, was used to obtain the high partial-wave contribution for each transition, in contrast to the partial-relativistic Coulomb–Bethe approximation used in previous works by Zhang, Sampson and Fontes [H.L. Zhang, D.H. Sampson, C.J. Fontes, At. Data Nucl. Data Tables 44 (1990) 31; H.L. Zhang, D.H. Sampson, C.J. Fontes, At. Data Nucl. Data Tables 48 (1991) 25; D.H. Sampson, H.L. Zhang, C.J. Fontes, At. Data Nucl. Data Tables 44 (1990) 209]. In those previous works, collision strengths were also provided for Li-, F- and Na-like ions, but for a more comprehensive set of transitions. The collision strengths covered in the present work should be more accurate than the corresponding data given in those previous works and are presented here to replace those earlier results.

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