Stochastic PAC models for vacancy motions with trapping and detrapping
Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. Th...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Evenson, William E. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Schlagwörter: |
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| Anmerkung: |
© Kluwer Academic Publishers 1999 |
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| Übergeordnetes Werk: |
Enthalten in: Hyperfine interactions - Kluwer Academic Publishers, 1975, 120-121(1999), 1-8 vom: Sept., Seite 427-431 |
|---|---|
| Übergeordnetes Werk: |
volume:120-121 ; year:1999 ; number:1-8 ; month:09 ; pages:427-431 |
| Links: |
|---|
| DOI / URN: |
10.1023/A:1017093305619 |
|---|
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OLC2076393684 |
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| 520 | |a Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. | ||
| 650 | 4 | |a Zirconia | |
| 650 | 4 | |a Oxygen Vacancy | |
| 650 | 4 | |a Trap State | |
| 650 | 4 | |a Tetragonal Zirconia | |
| 650 | 4 | |a Trapping Rate | |
| 700 | 1 | |a Lu, Jun |4 aut | |
| 700 | 1 | |a Winz, Michele W. |4 aut | |
| 700 | 1 | |a Gardner, John A. |4 aut | |
| 700 | 1 | |a Zacate, Matthew O. |4 aut | |
| 700 | 1 | |a Lee, Teresa |4 aut | |
| 700 | 1 | |a Mommer, Niels |4 aut | |
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10.1023/A:1017093305619 doi (DE-627)OLC2076393684 (DE-He213)A:1017093305619-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Evenson, William E. verfasserin aut Stochastic PAC models for vacancy motions with trapping and detrapping 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. Zirconia Oxygen Vacancy Trap State Tetragonal Zirconia Trapping Rate Lu, Jun aut Winz, Michele W. aut Gardner, John A. aut Zacate, Matthew O. aut Lee, Teresa aut Mommer, Niels aut Enthalten in Hyperfine interactions Kluwer Academic Publishers, 1975 120-121(1999), 1-8 vom: Sept., Seite 427-431 (DE-627)129438685 (DE-600)194471-X (DE-576)014809028 0304-3843 nnns volume:120-121 year:1999 number:1-8 month:09 pages:427-431 https://doi.org/10.1023/A:1017093305619 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_4307 33.00 VZ AR 120-121 1999 1-8 09 427-431 |
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10.1023/A:1017093305619 doi (DE-627)OLC2076393684 (DE-He213)A:1017093305619-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Evenson, William E. verfasserin aut Stochastic PAC models for vacancy motions with trapping and detrapping 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. Zirconia Oxygen Vacancy Trap State Tetragonal Zirconia Trapping Rate Lu, Jun aut Winz, Michele W. aut Gardner, John A. aut Zacate, Matthew O. aut Lee, Teresa aut Mommer, Niels aut Enthalten in Hyperfine interactions Kluwer Academic Publishers, 1975 120-121(1999), 1-8 vom: Sept., Seite 427-431 (DE-627)129438685 (DE-600)194471-X (DE-576)014809028 0304-3843 nnns volume:120-121 year:1999 number:1-8 month:09 pages:427-431 https://doi.org/10.1023/A:1017093305619 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_4307 33.00 VZ AR 120-121 1999 1-8 09 427-431 |
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10.1023/A:1017093305619 doi (DE-627)OLC2076393684 (DE-He213)A:1017093305619-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Evenson, William E. verfasserin aut Stochastic PAC models for vacancy motions with trapping and detrapping 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. Zirconia Oxygen Vacancy Trap State Tetragonal Zirconia Trapping Rate Lu, Jun aut Winz, Michele W. aut Gardner, John A. aut Zacate, Matthew O. aut Lee, Teresa aut Mommer, Niels aut Enthalten in Hyperfine interactions Kluwer Academic Publishers, 1975 120-121(1999), 1-8 vom: Sept., Seite 427-431 (DE-627)129438685 (DE-600)194471-X (DE-576)014809028 0304-3843 nnns volume:120-121 year:1999 number:1-8 month:09 pages:427-431 https://doi.org/10.1023/A:1017093305619 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_4307 33.00 VZ AR 120-121 1999 1-8 09 427-431 |
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10.1023/A:1017093305619 doi (DE-627)OLC2076393684 (DE-He213)A:1017093305619-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Evenson, William E. verfasserin aut Stochastic PAC models for vacancy motions with trapping and detrapping 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. Zirconia Oxygen Vacancy Trap State Tetragonal Zirconia Trapping Rate Lu, Jun aut Winz, Michele W. aut Gardner, John A. aut Zacate, Matthew O. aut Lee, Teresa aut Mommer, Niels aut Enthalten in Hyperfine interactions Kluwer Academic Publishers, 1975 120-121(1999), 1-8 vom: Sept., Seite 427-431 (DE-627)129438685 (DE-600)194471-X (DE-576)014809028 0304-3843 nnns volume:120-121 year:1999 number:1-8 month:09 pages:427-431 https://doi.org/10.1023/A:1017093305619 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_4307 33.00 VZ AR 120-121 1999 1-8 09 427-431 |
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10.1023/A:1017093305619 doi (DE-627)OLC2076393684 (DE-He213)A:1017093305619-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Evenson, William E. verfasserin aut Stochastic PAC models for vacancy motions with trapping and detrapping 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. Zirconia Oxygen Vacancy Trap State Tetragonal Zirconia Trapping Rate Lu, Jun aut Winz, Michele W. aut Gardner, John A. aut Zacate, Matthew O. aut Lee, Teresa aut Mommer, Niels aut Enthalten in Hyperfine interactions Kluwer Academic Publishers, 1975 120-121(1999), 1-8 vom: Sept., Seite 427-431 (DE-627)129438685 (DE-600)194471-X (DE-576)014809028 0304-3843 nnns volume:120-121 year:1999 number:1-8 month:09 pages:427-431 https://doi.org/10.1023/A:1017093305619 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_4307 33.00 VZ AR 120-121 1999 1-8 09 427-431 |
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Evenson, William E. Lu, Jun Winz, Michele W. Gardner, John A. Zacate, Matthew O. Lee, Teresa Mommer, Niels |
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stochastic pac models for vacancy motions with trapping and detrapping |
| title_auth |
Stochastic PAC models for vacancy motions with trapping and detrapping |
| abstract |
Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. © Kluwer Academic Publishers 1999 |
| abstractGer |
Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. © Kluwer Academic Publishers 1999 |
| abstract_unstemmed |
Abstract In order to explain PAC data for tetragonal zirconia at temperatures between 900 and 1300ºC, we have developed a four-state stochastic model. The model simulates vacancies which trap and detrap at a PAC probe nucleus. While trapped, the vacancies hop around the probe in equivalent sites. The four states in this Winkler–Gerdau stochastic theory are three trapped states with equivalent electric field gradients (EFGs) of different orientations and a detrapped state with a weaker EFG whose axis of symmetry is oriented along the diagonal between the three trapped EFGs. There are three hopping rates in this model: w, the rate a trapped vacancy hops around the probe, $ w_{D} $, the detrapping rate, and $ w_{t} $, the trapping rate. We report results of calculations for values of these hopping rates implied by our tetragonal zirconia data, and we report heuristic fitting functions which summarize the computer results and can be used to fit data efficiently for a wide range of parameters. © Kluwer Academic Publishers 1999 |
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Stochastic PAC models for vacancy motions with trapping and detrapping |
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