The MTXαR method. The determination and use of "molecular" α values in molecular multiple scattering Xα calculations
A semiempirical approach is used to fix the α value for use in the extraatomic regions in multiple‐scattering (MSXα) calculations which retain the muffin‐tin treatment of the potential. Such a “molecular” α value for an atom is determined by requiring the corresponding homonuclear diatomic molecule...
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Veröffentlicht in: | International journal of quantum chemistry 1977-10, Vol.12 (4), p.707-719 |
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container_title | International journal of quantum chemistry |
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creator | Rosenkrantz, Marcy E. Konowalow, Daniel D. |
description | A semiempirical approach is used to fix the α value for use in the extraatomic regions in multiple‐scattering (MSXα) calculations which retain the muffin‐tin treatment of the potential. Such a “molecular” α value for an atom is determined by requiring the corresponding homonuclear diatomic molecule to have its minimum at the experimentally determined equilibrium separation; hence they are called αR. Molecular αR values are determined for the ground state Li2 and F2 molecules and are tested in a calculation of the ground state LiF potential curve. We find a binding energy at the calculated equilibrium separation to be within 1% of the experimental value. The LiF curve based entirely on the ordinary atomic α values is substantially inferior. The present MTXαR approach appears to be competitive with others which are intended to improve the muffin‐tin version of MSXα calculations. |
doi_str_mv | 10.1002/qua.560120409 |
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The determination and use of "molecular" α values in molecular multiple scattering Xα calculations</title><source>Wiley Online Library - AutoHoldings Journals</source><creator>Rosenkrantz, Marcy E. ; Konowalow, Daniel D.</creator><creatorcontrib>Rosenkrantz, Marcy E. ; Konowalow, Daniel D.</creatorcontrib><description>A semiempirical approach is used to fix the α value for use in the extraatomic regions in multiple‐scattering (MSXα) calculations which retain the muffin‐tin treatment of the potential. Such a “molecular” α value for an atom is determined by requiring the corresponding homonuclear diatomic molecule to have its minimum at the experimentally determined equilibrium separation; hence they are called αR. Molecular αR values are determined for the ground state Li2 and F2 molecules and are tested in a calculation of the ground state LiF potential curve. We find a binding energy at the calculated equilibrium separation to be within 1% of the experimental value. The LiF curve based entirely on the ordinary atomic α values is substantially inferior. The present MTXαR approach appears to be competitive with others which are intended to improve the muffin‐tin version of MSXα calculations.</description><identifier>ISSN: 0020-7608</identifier><identifier>EISSN: 1097-461X</identifier><identifier>DOI: 10.1002/qua.560120409</identifier><language>eng</language><publisher>New York: John Wiley & Sons, Inc</publisher><ispartof>International journal of quantum chemistry, 1977-10, Vol.12 (4), p.707-719</ispartof><rights>Copyright © 1977 John Wiley & Sons, Inc.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fqua.560120409$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fqua.560120409$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>315,782,786,1419,27931,27932,45581,45582</link.rule.ids></links><search><creatorcontrib>Rosenkrantz, Marcy E.</creatorcontrib><creatorcontrib>Konowalow, Daniel D.</creatorcontrib><title>The MTXαR method. The determination and use of "molecular" α values in molecular multiple scattering Xα calculations</title><title>International journal of quantum chemistry</title><addtitle>Int. J. Quantum Chem</addtitle><description>A semiempirical approach is used to fix the α value for use in the extraatomic regions in multiple‐scattering (MSXα) calculations which retain the muffin‐tin treatment of the potential. Such a “molecular” α value for an atom is determined by requiring the corresponding homonuclear diatomic molecule to have its minimum at the experimentally determined equilibrium separation; hence they are called αR. Molecular αR values are determined for the ground state Li2 and F2 molecules and are tested in a calculation of the ground state LiF potential curve. We find a binding energy at the calculated equilibrium separation to be within 1% of the experimental value. The LiF curve based entirely on the ordinary atomic α values is substantially inferior. 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The determination and use of "molecular" α values in molecular multiple scattering Xα calculations</title><author>Rosenkrantz, Marcy E. ; Konowalow, Daniel D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i1569-a553288386382a5e2aabc9b49147f9cc1ebe44d10d6f1b72149b1ff7db2c89433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1977</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rosenkrantz, Marcy E.</creatorcontrib><creatorcontrib>Konowalow, Daniel D.</creatorcontrib><collection>Istex</collection><jtitle>International journal of quantum chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rosenkrantz, Marcy E.</au><au>Konowalow, Daniel D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The MTXαR method. The determination and use of "molecular" α values in molecular multiple scattering Xα calculations</atitle><jtitle>International journal of quantum chemistry</jtitle><addtitle>Int. J. Quantum Chem</addtitle><date>1977-10</date><risdate>1977</risdate><volume>12</volume><issue>4</issue><spage>707</spage><epage>719</epage><pages>707-719</pages><issn>0020-7608</issn><eissn>1097-461X</eissn><abstract>A semiempirical approach is used to fix the α value for use in the extraatomic regions in multiple‐scattering (MSXα) calculations which retain the muffin‐tin treatment of the potential. Such a “molecular” α value for an atom is determined by requiring the corresponding homonuclear diatomic molecule to have its minimum at the experimentally determined equilibrium separation; hence they are called αR. Molecular αR values are determined for the ground state Li2 and F2 molecules and are tested in a calculation of the ground state LiF potential curve. We find a binding energy at the calculated equilibrium separation to be within 1% of the experimental value. The LiF curve based entirely on the ordinary atomic α values is substantially inferior. The present MTXαR approach appears to be competitive with others which are intended to improve the muffin‐tin version of MSXα calculations.</abstract><cop>New York</cop><pub>John Wiley & Sons, Inc</pub><doi>10.1002/qua.560120409</doi><tpages>13</tpages></addata></record> |
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source | Wiley Online Library - AutoHoldings Journals |
title | The MTXαR method. The determination and use of "molecular" α values in molecular multiple scattering Xα calculations |
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