Correlation factors for impurity diffusion on the sublattice of dodecahedral sites in garnet.
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| Title: | Correlation factors for impurity diffusion on the sublattice of dodecahedral sites in garnet. |
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| Authors: | Carlson, William1 wcarlson@jsg.utexas.edu, Wilson, Clark1 |
| Source: | Physics & Chemistry of Minerals. May2016, Vol. 43 Issue 5, p363-369. 7p. |
| Subjects: | Correlation methods (Signal processing), Impurity-dislocation interactions, Garnet crystallography, Lattice constants, Monte Carlo method |
| Abstract: | The method of Koiwa and Ishioka (Philos Mag A 47:927-938, 1983) is used, with slight modification, to evaluate the correlation factor for vacancy-mediated diffusion of impurity atoms on the sublattice of dodecahedral sites in garnet, as a function of the relevant vacancy-jump frequencies. The required values of the lattice Green's function were obtained from multiple Monte Carlo simulations in lattices of progressively larger size, extrapolated to an infinite lattice using a model that linearizes the dependence of the functional value on lattice size. As Online Resources, codes are provided that permit evaluation of the correlation factor for any chosen set of vacancy-jump frequencies, for implementation in either M athematica or M atlab . [ABSTRACT FROM AUTHOR] |
| Copyright of Physics & Chemistry of Minerals is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Correlation factors for impurity diffusion on the sublattice of dodecahedral sites in garnet. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Carlson%2C+William%22">Carlson, William</searchLink><relatesTo>1</relatesTo><i> wcarlson@jsg.utexas.edu</i><br /><searchLink fieldCode="AR" term="%22Wilson%2C+Clark%22">Wilson, Clark</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Physics+%26+Chemistry+of+Minerals%22">Physics & Chemistry of Minerals</searchLink>. May2016, Vol. 43 Issue 5, p363-369. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Correlation+methods+%28Signal+processing%29%22">Correlation methods (Signal processing)</searchLink><br /><searchLink fieldCode="DE" term="%22Impurity-dislocation+interactions%22">Impurity-dislocation interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Garnet+crystallography%22">Garnet crystallography</searchLink><br /><searchLink fieldCode="DE" term="%22Lattice+constants%22">Lattice constants</searchLink><br /><searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The method of Koiwa and Ishioka (Philos Mag A 47:927-938, 1983) is used, with slight modification, to evaluate the correlation factor for vacancy-mediated diffusion of impurity atoms on the sublattice of dodecahedral sites in garnet, as a function of the relevant vacancy-jump frequencies. The required values of the lattice Green's function were obtained from multiple Monte Carlo simulations in lattices of progressively larger size, extrapolated to an infinite lattice using a model that linearizes the dependence of the functional value on lattice size. As Online Resources, codes are provided that permit evaluation of the correlation factor for any chosen set of vacancy-jump frequencies, for implementation in either M athematica or M atlab . [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Physics & Chemistry of Minerals is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00269-016-0800-2 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 363 Subjects: – SubjectFull: Correlation methods (Signal processing) Type: general – SubjectFull: Impurity-dislocation interactions Type: general – SubjectFull: Garnet crystallography Type: general – SubjectFull: Lattice constants Type: general – SubjectFull: Monte Carlo method Type: general Titles: – TitleFull: Correlation factors for impurity diffusion on the sublattice of dodecahedral sites in garnet. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Carlson, William – PersonEntity: Name: NameFull: Wilson, Clark IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2016 Type: published Y: 2016 Identifiers: – Type: issn-print Value: 03421791 Numbering: – Type: volume Value: 43 – Type: issue Value: 5 Titles: – TitleFull: Physics & Chemistry of Minerals Type: main |
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