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EXAMPLE 17: Full.Coupled Diffusion 312 SUPREM-IV.GS – 2D ...

EXAMPLE 17: Full.Coupled Diffusion 312 SUPREM-IV.GS – 2D ...

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<strong>EXAMPLE</strong> 9: Stress Dependent Oxidation<br />

<strong>EXAMPLE</strong> 9 Stress Dependent Oxidation<br />

DESCRIPTION<br />

This example shows the use of the stress-dependent oxidation model. Ex-<br />

perimental LOCOS profiles are generally of two distinct types [1]. When<br />

the nitride mask is more than two to three times thicker than the pad oxide,<br />

the oxide/silicon interface and the oxide gas surface is kinked. For thinner<br />

nitride masks, the shape can be approximately be described by an error-<br />

function. The kinks were not observed in the first generation of oxidation<br />

simulators, because they result from stress effects on the growth coeffi-<br />

cients. Early oxidation programs did not take stress into account and found<br />

essentially identical oxide shapes irrespective of nitride thickness. This ex-<br />

ample shows how the stress-dependent model in <strong>SUPREM</strong>-<strong>IV</strong>.<strong>GS</strong> can pre-<br />

dict such second-order effects. The example is given in the file “sdep.s4”<br />

in the “examples/exam9” directory.<br />

The grid structure and nitride/oxide sandwich is very similar to the fully-<br />

recessed oxide example. The substrate grid is as sparse as possible (two<br />

lines). The lateral grid is a little coarse to compensate for the increased<br />

computation time used in the nonlinear model.<br />

The new statements are as follows:<br />

oxide stress.dep=t<br />

The nonlinear stress-dependent model is turned on. The default is to turn it<br />

off since it is much more expensive to run than the linear model.<br />

The activation volume for plastic flow Vc, for the stress-dependent reac-<br />

tion rate Vr, and for the diffusivity Vd, are taken from the defaults in the<br />

model file. The values used were derived by fitting Kao’s cylinder oxida-<br />

tion data [2].<br />

<strong>SUPREM</strong>-<strong>IV</strong>.<strong>GS</strong> <strong>–</strong> <strong>2D</strong> Process Simulation for Si and GaAs 281

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