Phonon calculation on olivine-like LiMPO4 (M = Ni, Co, Fe) and Raman scattering of the iron-containing compound
The phonon properties of the lithium transition metal phosphates LiMPO4 (M = Ni, Co, Fe) with the olivine structure were studied using a computational simulation. The calculation employs a normal coordinate analysis based on the Wilson's FG matrix method. The method applied to LiNiPO4 allowed f...
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Veröffentlicht in: | Journal of Raman spectroscopy 2005-03, Vol.36 (3), p.213-220 |
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description | The phonon properties of the lithium transition metal phosphates LiMPO4 (M = Ni, Co, Fe) with the olivine structure were studied using a computational simulation. The calculation employs a normal coordinate analysis based on the Wilson's FG matrix method. The method applied to LiNiPO4 allowed for the fitting of a set of stretching force constants and angle bond strengths that resulted in Raman wavenumbers comparing with experiments within a 5% average deviation. This set was assumed fixed for the isostructural Co‐containing and Fe‐containing compounds, as a first approximation. The calculated LiCoPO4 Raman wavenumbers also compared well with experimental values (average deviation 9%). Using this procedure, the 36 Raman wavenumbers of LiFePO4 were predicted and assigned to vibrational motions and symmetry species of the crystal group. LiFePO4 unpolarized Raman data agree very well with the predicted values. Copyright © 2004 John Wiley & Sons, Ltd. |
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T. C. ; Lemos, V. ; Lala, S. M. ; Montoro, L. A. ; Rosolen, J. M.</creator><creatorcontrib>Paraguassu, W. ; Freire, P. T. C. ; Lemos, V. ; Lala, S. M. ; Montoro, L. A. ; Rosolen, J. M.</creatorcontrib><description>The phonon properties of the lithium transition metal phosphates LiMPO4 (M = Ni, Co, Fe) with the olivine structure were studied using a computational simulation. The calculation employs a normal coordinate analysis based on the Wilson's FG matrix method. The method applied to LiNiPO4 allowed for the fitting of a set of stretching force constants and angle bond strengths that resulted in Raman wavenumbers comparing with experiments within a 5% average deviation. This set was assumed fixed for the isostructural Co‐containing and Fe‐containing compounds, as a first approximation. The calculated LiCoPO4 Raman wavenumbers also compared well with experimental values (average deviation 9%). Using this procedure, the 36 Raman wavenumbers of LiFePO4 were predicted and assigned to vibrational motions and symmetry species of the crystal group. LiFePO4 unpolarized Raman data agree very well with the predicted values. 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T. C.</creatorcontrib><creatorcontrib>Lemos, V.</creatorcontrib><creatorcontrib>Lala, S. M.</creatorcontrib><creatorcontrib>Montoro, L. A.</creatorcontrib><creatorcontrib>Rosolen, J. M.</creatorcontrib><title>Phonon calculation on olivine-like LiMPO4 (M = Ni, Co, Fe) and Raman scattering of the iron-containing compound</title><title>Journal of Raman spectroscopy</title><addtitle>J. Raman Spectrosc</addtitle><description>The phonon properties of the lithium transition metal phosphates LiMPO4 (M = Ni, Co, Fe) with the olivine structure were studied using a computational simulation. The calculation employs a normal coordinate analysis based on the Wilson's FG matrix method. The method applied to LiNiPO4 allowed for the fitting of a set of stretching force constants and angle bond strengths that resulted in Raman wavenumbers comparing with experiments within a 5% average deviation. This set was assumed fixed for the isostructural Co‐containing and Fe‐containing compounds, as a first approximation. The calculated LiCoPO4 Raman wavenumbers also compared well with experimental values (average deviation 9%). Using this procedure, the 36 Raman wavenumbers of LiFePO4 were predicted and assigned to vibrational motions and symmetry species of the crystal group. LiFePO4 unpolarized Raman data agree very well with the predicted values. Copyright © 2004 John Wiley & Sons, Ltd.</description><subject>Constants</subject><subject>Deviation</subject><subject>Iron</subject><subject>LiCoPO4</subject><subject>LiFePO4</subject><subject>LiNiPO4</subject><subject>Lithium</subject><subject>lithium battery electrodes</subject><subject>Mathematical analysis</subject><subject>Nickel</subject><subject>phonon calculation</subject><subject>Phonons</subject><subject>Wavenumber</subject><issn>0377-0486</issn><issn>1097-4555</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNp10F1LwzAUBuAgCs4p-BNy54R1Jk3TtBde6HBT2ZdT0buQpqnL1iUzadX9ezcmghfCgXN4eTgXLwCnGHUwQuHF3PkODlmyBxoYpSyIKKX7oIEIYwGKkvgQHHk_RwilaYwbwE5m1lgDpShlXYpKb-7tlPpDGxWUeqHgQA8n4wi2hvASjnQbdm0b9tQ5FCaHU7EUBnopqko5bd6gLWA1U1A7awJpTSW02cbSLle2NvkxOChE6dXJz26C597NU_c2GIz7d92rQSAJoUmA04zGiOE4xzKPkySUaVhISkMpU6koK1iURShFMcaE5DSPipCmGcMCJVnGkpw0wdnu78rZ91r5ii-1l6oshVG29pwlDCOMKNvI1k5KZ713quArp5fCrTlGfFsp31TKt5VuaLCjn7pU638dv58-_vXaV-rr1wu34DEjjPKXUZ-zXvg6uI4fOCHfGxuE2g</recordid><startdate>200503</startdate><enddate>200503</enddate><creator>Paraguassu, W.</creator><creator>Freire, P. 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Raman Spectrosc</addtitle><date>2005-03</date><risdate>2005</risdate><volume>36</volume><issue>3</issue><spage>213</spage><epage>220</epage><pages>213-220</pages><issn>0377-0486</issn><eissn>1097-4555</eissn><abstract>The phonon properties of the lithium transition metal phosphates LiMPO4 (M = Ni, Co, Fe) with the olivine structure were studied using a computational simulation. The calculation employs a normal coordinate analysis based on the Wilson's FG matrix method. The method applied to LiNiPO4 allowed for the fitting of a set of stretching force constants and angle bond strengths that resulted in Raman wavenumbers comparing with experiments within a 5% average deviation. This set was assumed fixed for the isostructural Co‐containing and Fe‐containing compounds, as a first approximation. The calculated LiCoPO4 Raman wavenumbers also compared well with experimental values (average deviation 9%). Using this procedure, the 36 Raman wavenumbers of LiFePO4 were predicted and assigned to vibrational motions and symmetry species of the crystal group. LiFePO4 unpolarized Raman data agree very well with the predicted values. Copyright © 2004 John Wiley & Sons, Ltd.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/jrs.1278</doi><tpages>8</tpages></addata></record> |
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subjects | Constants Deviation Iron LiCoPO4 LiFePO4 LiNiPO4 Lithium lithium battery electrodes Mathematical analysis Nickel phonon calculation Phonons Wavenumber |
title | Phonon calculation on olivine-like LiMPO4 (M = Ni, Co, Fe) and Raman scattering of the iron-containing compound |
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