1989
DOI: 10.1063/1.101440
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Nonlinear viscoelastic dilation of SiO2 films

Abstract: Oxide dilation in thin films is analyzed using a Voigt viscoelastic model. If stress-dependent viscosity is used to model the dilation, a logarithmic time evolution is predicted. The form of the solution is in agreement with the non-Maxwellian behavior seen in experimental data. The analysis provides an estimate of the critical stress and low-stress viscosity of dry SiO2 films.

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Cited by 28 publications
(14 citation statements)
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“…These values are consistent with the typical data collected among previous studies related to dry oxides [18], [19]. Table II summarizes the value of each aforementioned empirical parameter incorporated into the current model versus the temperature of oxidation.…”
Section: ) Calibration Of the Low-stress Viscositysupporting
confidence: 76%
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“…These values are consistent with the typical data collected among previous studies related to dry oxides [18], [19]. Table II summarizes the value of each aforementioned empirical parameter incorporated into the current model versus the temperature of oxidation.…”
Section: ) Calibration Of the Low-stress Viscositysupporting
confidence: 76%
“…It should be pointed out that the resulting stress-dependent viscosity drop, as expressed in (3), is very closed to the Eyring's model [18], where the plasticity threshold is set to 0.66 10 dyn/cm for 1000 C, and 0.88 10 dyn/cm for 1100 C. Thus, the above values for were also fixed. Finally, in order to accurately determine the third empirical parameter, namely, the low-stress viscosity , a long dry oxidation has been performed on various silicon pillar shapes at both 1000 C and 1100 C, leading to sufficient oxide growth to set the proper value.…”
Section: Calibration and Experimental Validation Of The Modelmentioning
confidence: 99%
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“…25,26 In our experimental case ͑dry oxidation at 900°C for some hours͒ we have evaluated by a simple calculation the time for viscous flow to develop, that is, the time for the stress to reach the steady-state value. 29 This time is, by using a linear model and viscosity values measured by Fargeix and Ghibaudo, 30 of about 50 min, i.e., smaller than the whole oxidation duration ͑some hours͒. As a consequence, we have assumed in our model a deformation of SiO 2 by viscous flow.…”
Section: Modeling Of the Si Nanocrystal Oxidationmentioning
confidence: 99%
“…The thermal oxide in SOLES Structure C is grown at lower temperature and is therefore of higher quality, with lower OH incorporation 18 and higher density. 19,20 Ge diffusivity in Structure C is indeed an order of magnitude lower than that in Structure B.…”
mentioning
confidence: 95%