Analysis of P and Sb diffusion during thermal oxidation in silicon

Using experimental results of oxidation-enhanced/retarded diffusions (OED/ORD) for P/Sb in silicon, OED and ORD equations are rewritten into differential equations for self-interstitials and vacancies ( I and V ). An extended relation of the local equilibrium between I and V , V I m = n , is derived...

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Veröffentlicht in:Japanese Journal of Applied Physics 1994, Vol.33 (6A), p.3362-3367
Hauptverfasser: OKINO, T, ONISHI, M
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description Using experimental results of oxidation-enhanced/retarded diffusions (OED/ORD) for P/Sb in silicon, OED and ORD equations are rewritten into differential equations for self-interstitials and vacancies ( I and V ). An extended relation of the local equilibrium between I and V , V I m = n , is derived from asymptotic forms of formal solutions of OED and ORD equations. The differential equations are solved using V I m = n , i.e., OED and ORD equations are simultaneously solved without any assumptions. Consequently, OED/ORD were governed by only the interstitialcy/vacancy mechanism. The local equilibrium between I and V did not occur in the present diffusion time range. From the obtained results, diffusivities of I and V , i.e., D I =2.4×10 -9 cm 2 s -1 and D V =2.1×10 -10 cm 2 s -1 , and also their thermal equilibrium concentrations, C I 0 =3.3×10 16 cm -3 and C V 0 =2.2×10 17 cm -3 , were determined at 1100°C.
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An extended relation of the local equilibrium between I and V , V I m = n , is derived from asymptotic forms of formal solutions of OED and ORD equations. The differential equations are solved using V I m = n , i.e., OED and ORD equations are simultaneously solved without any assumptions. Consequently, OED/ORD were governed by only the interstitialcy/vacancy mechanism. The local equilibrium between I and V did not occur in the present diffusion time range. From the obtained results, diffusivities of I and V , i.e., D I =2.4×10 -9 cm 2 s -1 and D V =2.1×10 -10 cm 2 s -1 , and also their thermal equilibrium concentrations, C I 0 =3.3×10 16 cm -3 and C V 0 =2.2×10 17 cm -3 , were determined at 1100°C.</description><identifier>ISSN: 0021-4922</identifier><identifier>EISSN: 1347-4065</identifier><identifier>DOI: 10.1143/jjap.33.3362</identifier><identifier>CODEN: JJAPA5</identifier><language>eng</language><publisher>Tokyo: Japanese journal of applied physics</publisher><subject>Condensed matter: structure, mechanical and thermal properties ; Diffusion in solids ; Diffusion of other defects ; Exact sciences and technology ; Physics ; Theory of diffusion and ionic conduction in solids ; Transport properties of condensed matter (nonelectronic)</subject><ispartof>Japanese Journal of Applied Physics, 1994, Vol.33 (6A), p.3362-3367</ispartof><rights>1994 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c385t-72eeb64dba2ae41e3bf25a314136d471abae3ae284115696e11705b686bb8a823</citedby><cites>FETCH-LOGICAL-c385t-72eeb64dba2ae41e3bf25a314136d471abae3ae284115696e11705b686bb8a823</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,4024,27923,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=4217739$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>OKINO, T</creatorcontrib><creatorcontrib>ONISHI, M</creatorcontrib><title>Analysis of P and Sb diffusion during thermal oxidation in silicon</title><title>Japanese Journal of Applied Physics</title><description>Using experimental results of oxidation-enhanced/retarded diffusions (OED/ORD) for P/Sb in silicon, OED and ORD equations are rewritten into differential equations for self-interstitials and vacancies ( I and V ). An extended relation of the local equilibrium between I and V , V I m = n , is derived from asymptotic forms of formal solutions of OED and ORD equations. The differential equations are solved using V I m = n , i.e., OED and ORD equations are simultaneously solved without any assumptions. Consequently, OED/ORD were governed by only the interstitialcy/vacancy mechanism. The local equilibrium between I and V did not occur in the present diffusion time range. 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subjects Condensed matter: structure, mechanical and thermal properties
Diffusion in solids
Diffusion of other defects
Exact sciences and technology
Physics
Theory of diffusion and ionic conduction in solids
Transport properties of condensed matter (nonelectronic)
title Analysis of P and Sb diffusion during thermal oxidation in silicon
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