?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F168%2F&rft.title=Modelling+InSb+Czochralski+Growth&rft.creator=Bohun%2C+Sean+C.&rft.subject=Materials&rft.description=The+dominant+technique+for+producing+large+defect+free+crystals+is+known+as+the+Czochralski+method.+Developed+in+1916+by+Jan+Czochralski+as+a+method+of+producing+crystals+of+rare+metals%2C+this+method+is+now+used+to+produce+most+of+the+semiconductor+wafers+in+the+electronics+industry.%0A%0AMany+aspects+of+this+process+have+been+investigated+to+gain+a+greater+insight+of+the+physical+processes+involved.+We+begin+with+the+heat+problem%2C+first+as+a+one+dimensional+model%2C+then+extending+to+a+second+dimension.+This+analysis+indicates%0Athat+the+temperature+of+the+gas+surrounding+the+crystal+has+a+major+impact+on+both+the+thermal+stress+experienced+by+the+crystal+and+the+shape+of+the+crystal%2Fmelt+interface.+In+contrast%2Cvariations+in+the+heat+%0Aflux+from+the+melt+have+much+less+of+an+effect.%0A%0AHaving+investigated+the+temperature+profiles%2C+the+analysis+then+focuses+on+the+behaviour+of+the+fluid.+Scaling+arguments+are+used+to+estimate+the+thickness+of+the+various+boundary+layers+and+explain+the+main+flow+patterns+that+are+experimentally+observed.%0A%0ANext%2C+the+shape+of+the+meniscus+is+determined+for+various+rotation+rates.+This+analysis+shows+that+the+shape+of+the+meniscus+is+relatively+invariant+at+least+at+low+rotation+rates+yet+the+actual+vertical+position+of+the+meniscus+changes+readily+with+the+rate+of+rotation.%0A%0AAfter+analyzing+the+fluid+flow+patterns%2C+a+model+is+developed+for+the+height+of+the+melt+as+a+function+of+time.+This+indicates+that+for+a+crystal+of+constant+radius+the+proportion+of+the+effective+pull+rate+due+to+the+falling+fluid+level+remains+essentially+constant+over+the+complete+growing+time+of+the+crystal.+This+no+longer+remains+true+if+the+radius+of+the+crystal+is+allowed+to+increase+at+a+constant+rate.&rft.date=2001&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F168%2F1%2Finsb.pdf&rft.identifier=++Bohun%2C+Sean+C.++(2001)+Modelling+InSb+Czochralski+Growth.++%5BStudy+Group+Report%5D+++++