From: hackbard Date: Fri, 25 Jun 2010 14:09:55 +0000 (+0200) Subject: weekend checkin (some mroe conclusions) X-Git-Url: https://hackdaworld.org/gitweb/?a=commitdiff_plain;h=6ee922b0b396c9b7a41ca64ec53603781abcf33a;p=lectures%2Flatex.git weekend checkin (some mroe conclusions) --- diff --git a/posic/thesis/defects.tex b/posic/thesis/defects.tex index 5b99250..77098f6 100644 --- a/posic/thesis/defects.tex +++ b/posic/thesis/defects.tex @@ -1324,7 +1324,8 @@ Thus, the compressive stress along \hkl<1 1 0> of the Si \hkl<1 1 0> interstitia \section{Migration in systems of combined defects} As already pointed out in the previous section energetic carbon atoms may kick out silicon atoms from their lattice sites during carbon implantation into crystalline silicon. -However configurations might arise in which C atoms do not already occupy the vacant site but instead form a C interstitial next to the vacancy as discussed shortly before in the very end of section \ref{subsection:defects:c-si_comb}. +However configurations might arise in which C atoms do not already occupy the vacant site but instead form a C interstitial next to the vacancy. +These combinations have been investigated shortly before in the very end of section \ref{subsection:defects:c-si_comb}. In the absence of the Si self-interstitial the energetically most favorable configuration is the configuration of a substitutional carbon atom, that is the carbon atom occupying the vacant site. In addition, it is a conceivable configuration the system might experience during the silicon carbide precipitation process. Energies needed to overcome the migration barrier of the transformation into this configuration enable predictions concerning the feasibility of a silicon carbide conversion mechanism derived from these microscopic processes. @@ -1402,7 +1403,7 @@ In fact, migration simulations yield a barrier as low as 0.1 eV. This energy is needed to tilt the dumbbell as the displayed structure at 30 \% displacement shows. Once this barrier is overcome, the carbon atom forms a bond to the top left silicon atom and the interstitial silicon atom capturing the vacant site is forming new tetrahedral bonds to its neighboured silicon atoms. These new bonds and the relaxation into the substitutional carbon configuration are responsible for the gain in free energy. -For the reverse process approximately 2.4 eV are nedded, which is 24 times higher than the forward process. +For the reverse process approximately 2.4 eV are needed, which is 24 times higher than the forward process. Thus, substitutional carbon is assumed to be stable in contrast to the C-Si dumbbell interstitial located next to a vacancy. \section{Conclusions concerning the SiC conversion mechanism} @@ -1417,16 +1418,24 @@ This is due to strain compensation enabled by the combination of such defects in For dumbbells oriented along the \hkl<1 1 0> direction and the assumption that there is the possibility of free orientation, an interaction energy proportional to the reciprocal cube of the distance in the far field regime is found. These findings support the assumption of the C-Si dumbbell agglomeration proposed by the precipitation model introduced in section \ref{section:assumed_prec}. -By combination of the \hkl<1 0 0> dumbbell with a vacancy it is found that the configuration of substitutional carbon arising by the carbon interstitial atom occupying the vacant site is the energetically most favorable configuration. +Next to the C-Si \hkl<1 0 0> dumbbell interstitial configuration, in which the C atom is sharing a Si lattice site with the corresponding Si atom the C atom could occupy the site of the Si atom, which in turn forms a Si self-interstitial. +Combinations of substitutional C and a \hkl<1 1 0> Si self-interstitial, which is the ground state configuration for a Si self-interstitial and, thus, assumed to be the energetically most favorable configuration for combined structures, show formation energies 0.5 eV to 1.5 eV greater than that of the C-Si \hkl<1 0 0> interstitial configuration, which remains the energetically most favorable configuration. +However, the binding energy of substitutional C and the Si self-interstitial quickly drops to zero already for short separations indicating a low interaction capture radius. +Thus, due to missing attractive interaction forces driving the system to form C-Si \hkl<1 0 0> dumbbell interstitials substitutional C, while thermodynamically not stable, constitutes a most likely configuration occuring in IBS, a process far from equlibrium. + +Due to the low interaction capture radius substitutional C can be treated independently of the existence of separated Si self-interstitials. +This should be also true for combinations of C-Si interstitials next to a vacancy and a further separated Si self-interstitial excluded from treatment, which again is a conveivable configuration in IBS. +By combination of the \hkl<1 0 0> dumbbell with a vacancy it is found that the configuration of substitutional carbon occupying the vacant site is the energetically most favorable configuration. Low migration barriers are necessary to obtain this configuration and in contrast comparatively high activation energies necessary for the reverse process. Thus, carbon interstitials and vacancies located close together are assumed to end up in such a configuration in which the carbon atom is tetrahedrally coordinated and bound to four silicon atoms as expected in silicon carbide. + +While first results point to ... + In contrast to the above, this would suggest a silicon carbide precipitation by succesive creation of substitutional carbon instead of the agglomeration of C-Si dumbbell interstitials followed by an abrupt precipitation. +0 K simulations -> C-Si DB, however non-zero temperatures and the IBS, process far from equilibrium, so sub C should be feasible ... + {\color{red}Todo: Explain that formation of SiC by substitutional C is more likely than the supposed C-Si agglomeration, at least in the absence of the accompanied Si self-interstitial.} {\color{red}Todo: Si \hkl<1 1 0> migration barriers. If Si can go away fast, formation of substitutional C (and thus formation of SiC) might be a more probable process than C-Si dumbbell agglomeration.} -{\color{red}Todo: -Better structure, better language, better methodology! -} -