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Piezoelectricity, Phase Stability, and Surface Diffusion in

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.:c:;;;;;:cc:;;;;;,''''''''''''''''''''''''''''''''''''''''''',:;;::,''':oc;,. .':clc::::::::cccccccccccccccccccclclllllllcllllllooooolllooooddddoool:;,...,;:c,''''''''''''''''''''''''',;;;;;'...',,,,,,,;ll:;'. ..,;c; .c, ,llllllc'. ,;

';:ccc:::;:;,,,;:;,,''''''''''''''''''''''''''''''''''''''',;:;::,'''',ll:;,...',;cll:c::::::::::::::::::::::::;;;;:::c::;;;;:::ccccccc::ccccccllloooc;,. .,;c:'''''''''''''''''''''''.';;;;;'...'',,,;::lolc:;;,;;:c, .c, .:llllllll;. ,;

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.,''''',;;:;,,,::;,'''''''''''''''''''''''''''',ccccc;'',;::::clc:cclllcc::::cc:;,;;::::::::::::::ccccccccccc:;;:ccccc:;;:::::c:::::::::clccloolcc::clll;'''''''''''''''''''....;c::c;'...',:::::c:;;;;;;;;;, .c, .';::,;lllllllllllllllc' ,;

.','''''',,;:;,;::c:;,'''''''''''''''''''''''',ccccl;'';:c:::c:,;::cclllcc:::::cc:;;;;:::::::cccccccccccccccc::cccccc::;:clccc::::::::cccc::cloooooool::::;,'''''''''''''''....':c:c:'....',:c:::c:;;;;;;;;;;;;. .c, .,;:;'. .lllllllllllllllllc. ,;

'''''''''',,;:c:::c::;,''''''''''',,;;;;;,,,ccccl:;:cc::c:;,,,,:::ccllccl::::::::::;;;;:ccccccccccccccccccccccccc:;;;:llcclc;;::::ccccccccllllllll:;::::::;;,'''''',;:::::cc:clccc,..',;ccccc:;,,,,;;;;;;;;;;. .c, ..';;,'. ... ,;

.,'''''''''''',:cc:::cc:;,'''',;:clloolloollllllccllllc:;,,,,,,,:::ccllccl:::::::::cc:::ccccccccccccccccccccccc:;;;;;clccll;;;;:ccccccccccllllllllc,',;::::::;;,,;cllllcccccccclllc;;:cccccc;'''''',;;;;;;;;;, .c, .':c;'. ,;

.,''''''''''''',;::c:::c::;;clllllllcccllllllollllll:;,,,,,,,,,;:::ccccclc::::::::::cllccccccccc:::::::ccccllllccccclccll:;;:cllccccccccccllllllll;'''',;::::::cllcccccc::::ccccclllcccc:,'''''''',,;;;;;;;;;. .c, ..';;;'.. ,;

.,''''''''''''''',;:cc:::cllllcccccccccccclllllllc;,,,,,,,,,,,,::::cccccll:::::::::ccclllccccccc::::::clooooooooooooool:;:lllllllc::cccccclllllllc,'''''',;::clcccc::::::::::::ccccllc'''''''''''',,;;;;;;;;,. .c, .';c;,. ,;

.,''''''''''''''''',;:cclllcccc:::::::::cclllllll:,,,,,,,,,,,,,::::ccccllc::::::::ccccccclcccccccccloooollllllllllllooolllllol:::ccccccccclllllll;''''''',cllccc::::;;;;;;;;:::ccccll;''''''''''''',;;;;;;;;. .c, .',::,.. ,;

,,'''''''''''''''''';llllccc:::;;;;;;;:::cclclodo:,,,,,,,,,,,,;::::ccccllc::::::cccccccc:ccccccccloollllccccccccclllollllll::::cccccccccccllllllc,'''''':llccc:::;;,,,'',,,;;:::ccclc,''''''''''''',;;;;;;;. .c, .'. ..';;;'.. ,;

.;,'''''''''''''''',collccc::;;,,,',,,;;:::clooodl,,,,,,,,,,,,,:lccccolcllcccc::cllccccc:::::clllllllccccc:::::ccccllllooo::cllcccloolccllllllooo:',;;,,cllccc::;;,,'....',,;;:::cllo:'''''''''''''',;;;;;;,. .c, .cl:. .,;c;'. ,;

.,,''''''''''''''';ollccc::;;;,''..'',;;:cllloodo;:oo:,,:lc;,,cllc:cllccllc:::::cccccccc:::::loolllccc:::::;;::::cclllllooc:::::cccccccclcclloooc,;cc;;lllccc::;;,,'....'',;;:::cllo:''''''''''''''',;;;;;;. .c, .:lll;. .';::,.. ,;

.,''''''''''''''';ollccc::;;,,'...'',;:ccllloodd:;coc;,,,::;,,:llc::clclllc::::ccccccccccccldolllccc::;;;,,,,;;:::cccloodoc::::ccc:cloolccloolllc::,.,ldolcc::;;;,,''''',;;;:ccllol;'''''''''''''''',;;;;;. .c, 'clllllc. ..,;;;'.. ,;

';,''''''''''''';lollccc::;;,,''',,;:cclllooodo;,;::;,,;cl:,,cdxl::dkxllldolcccodolcloolclooolllcc:::;,''..',,;::cccloodxdo::lxdoccoddlccclllllc,'...;lllccc:::;;;,,,,;;;:ccclllol,''''''''''''''''',;;;;,. .c, 'llllllllc;;::,.. ,;

.;;'''''''''''''';lllcccc:::;;;;;;::ccllllooddl;,,,,,,,,,,,,,,,:ccc:ccclooolcccllcccloooclooolllcc:::;,'...'',;::cllooodxoc::::::c:cccccccccllll,..',:llllccccc:::;;;;;;:ccllllooc::;,,'''''''''''''',;;;;. .c, ,lllllllllll:. ,;

.,,''''''''''''',colllccccc:::::cccllllooodddlcc::;,,,,,,,,,;::ccccccllooooc::;;;:cccccccodolllcc:::;,,''',,;;:clllooddxl::::::::ccccccccccclll:;:cccloollccllccc:::::ccllllooolcc:cc::;,,''''''''''',;;;,. .c, .;lllllllllllll, ,;

.;,'''''''''';cccloolllllll::lllllllooooddolccccccc::;,,,;:::;::cccclllooll:;;;:ccccc:::cooolllccc:::;;;;;;:cclllooodxdccc::::::::cccccccccclooc:ccc;;;lolllccllcccclllllooo:,,;:cccc::c::;,''''''''',,;;. .c, .',:lllllllllllllll, ,;

':;,,,'',,;:cccclllollllolclllloooooodddc,,::clccccccc::c::;,,;:cccclcllllc:;:cccc:;;;::ldoolllcccc:::::::cllloooodddollccccc::cccllllllllllool:;,'...':llcclllcclooooool:;''''',;:cccc:::;;;,,'''''',;;' .c, ..',:::cllllllllllllllllll:. ,;

..,cc:::::::::cc::,';lllloooooooooodddolc;,,,,,,;::ccccccc::::;,,;:cccc:clllllcccc::;:cclllodoolloollllcccclllooooddddolclllllcccc:::ccllllllllll;'...':ccclcccclllcc::;,''''''''''',;;:::;;;;;;,,,''',;;... .c, ...',;;;,'... ... ,;

.;;,',:;:::::c:;,'',:llllc:cloodxoollc:,,,,,,,,,,,,,,,;:cc:;;;;:::::cccc::looodoc:::ccclllllllloooolloollllooooooddddlcclllllccllllc:;;:cllllcccclc'....';c::c:''''''''''''''''''''''''''''',;;;;;;,;;;;,;:c::;;,'. .c, .',;::;,... ,;

.;,'. .,;::cc,'''',:cc:cc,,,,,,ld;,,,,,,,,,,,,,,,,,,,,,,',,;;;;;;;;:::ccccclooddl::c::clllclc::loolloollooddddddddolc:::::::ccllllclc:::cllllcccccl;'''';c::c:,,,,co;,,,,,'''''''''''''''''''''',,;;;;;;;::,'..',;;. .c, .. ...',;;;,'... ,;

.:,'. ';::cc,,,,:cc::c:;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,;;;:;;;;::;,,:codol:ccccc:::::::oolloolcoddddoolc:;;;,,,,,,,,,,,:loll:::::cclcccccccc,,,:c::::;;;;;cl;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;::;'. .';,. .c, 'cc. ..',;::;,... ,;

,:,'...':ccl:,,;ccc:clc;;;;;;;;lo:;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;:::;'. .,coodoc::;;;;,;;;ccccll:,,,;c:;,,,,,,,,,,,,,,,,,,,,;:clccc::;;:::cccccl::cccc::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,''',c:,'. ..,;. .c, ,llll' ..',;::;,'.. ,;

.,;;;;;:lllcccllccllc;;;;;;;;;ld:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,'',c:,. .;coddc,,,,,,,cccccccc;,,,,cOc,,,,,,,,,,,,,,,,,,,,,,,:ccccccccc:::::clc;,,,;:cc;;;;;;lo:;;;;;;;;;,,,''''... ':;,'....',;' .c;,llllll'....',;;;;,'... ,;

....'cc:;;;;:clol:;;;;;;;;;;;;;;;;;;;;;;;;;;;,,''''... :c;,....,cdxxl:;,,,,,clcccc:;;;;;;co:;;;;;;;;;;;;;;;;,,,,,,;:c:::c:::::::::c:'. .,;:c;;;,,::'... .;::;;;;:;. .clllllllllcc;,'.. .c ,;

.:c;,....';:coc;;;;;;;;;;cl;,'''... .:c:;;,;;:lllcc:;:::clccccc:;;;;;;:c:;;;;::;;;;;;;;;;;;;::clclccclcccc:;;cc:,. .,:c'. ..','.. .cllllllllll:. .o ,;

'l:,. ';:oo'... 'c. .;c:::c:' .;llcccccclllc::::::::lkl::::::::::::::::::;;:cccc:::c;;;,,,.,c:;.. .';:;. ,, .clllllllllll:. .o ,;

'l:,. .';:ol. .;:;,;:,'..cc:;;,',;;:cl::::::::cl::::::;;;,,'''...',,,,,,',;''''''..;lc;;,,,;:c:. .. .... .cllllllllllllc' .... .... .... .o ,;

.;c:,'...,;:ll. .c. ';;;,;c,',cc:;'. .,;:ll:;;,,,',:'... .,,,,',,',;'''''''...;lcccccc,. .;;,. .clllllllllllllc. .';;' .;;,. ,;;. .o ,;

.;ccc:ccll;. .:. .,;;:;,;:,',lc;;. .;;ll. ;0' .',,,,';;,,;,'''''''...ll;;::,'. c' .,...''... .c;... ...''...,. .,'..''... ...''...,. .o ,;

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.:. .;;;,,:;,;;,''',:ccllccc:;. :K' .',,,,,,'';:;::,'''''',cclc:;,::,,,,,. :..;;;;ccc:c::;;;. .;;:cl:;::,. .'':ccccc::,. .,::ccccc;''. .';:;:llclc' .,;;::ccc:c:;;,. .,;;;c:cclc:;;,. .;;:ll:,;;'. .'';ccccc::,. .,::ccccc:''. .,::;:lc:;;' .;;;::c:ccc:;;;. .o ,;

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'o. .;;;;,,;cc:cc,''''''''''',. .;. .',,,,,,,''';;;::''''',ccllcc:,;:;,,,,,,,'.',:lc:,. .;l..,. ';,.. .;:c:'. 'c:;'. .'cc. .cc'. ';:c, ...;c:;. 'cc, .;.'l:. .;:cc:,. .,;cc:;. .;l'.;. ';,. .;:c;... ,c:;,. ..cc. .:c'. ';:c' ..':c:;. ..,:, .,..l;. .,;cl:,. .o ,;

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;d. .,;;;;;,'';lc:cc,'''''''''',:,''. .;. .',,,,,:col:ccc:::::::clooolcc:llcclc::;,,,,,,;,'. ;c.',. .;;. .:cc:. .;lcc;. .c;. ,c. .;clc,. 'clcc' .c:,;. ''.:; .:cc::,... ..',::cc:. ,:..' .;,. 'cclc' ;llc;. .:, ;c. ;ccl:. .:lcc' .;:. .,'.c: .:lc::,'.'o ,;

.. .,;;;;;,,'';lc:cc,'''''''''',:,'''. :d. .',,,,,cool::::::;;;::cloooooc::llcclc:::;,,,,;l,,'. .l:,;. .;:' ..;:;'. .';cc'. ;l,. .'c, .'cc;'. .';:,.. .c,.::' .;,;l. .'ccc:;;;;:ccc,.. .l:,;. .::. ..,:;'. .,;c:.. 'c,. .,l; ..cc;,. .';:'.. .:;. .;,:l' ..,lcc:ld ,;

. .,;;;;;;,,;:clc:ll:;,'''''''''''''''. .. .'',,,:oooc:::;;,,',,:looooool::llcclc:::::;,,,;,,,,. ,lll:,. ;lll, ;c;;;;:;:lllc. .''. .... .cllc. .cll:. .... .''. .clll:::;;;;c' .c,,lll, .,:lll, .clllc:::llll. 'lll:,. ,lll' .c;;;;:;:lll; .''. .... .:llc. .:llc. .... .''' .:lllc;:;;;;c. ,lll; .,:lll; 'llllod ,;

;x. ';;;;;::clooollllooolc:;,'''',:,'''''.. ,;. .''',,,,coolc::;,'....,clloooooc::llcclc::::::;,;:,,,,,. ':lc;;,. ,ll:. .''',lllc::,.. ..','''.,;;' .;cl:. .clc,. ';;,.''''...,::clll,'''. .c,.:ll' .,;;clc' .;,;clll;;;' .:ll;;;. 'll:. .'',lllc::;.. ...,'''.';;' .,clc. .;lc;. .;;,.''','.. ..,::clll;'''. .:ll, .,;;cl:' .';;;od ,;

.. .;;;;;cdollllllllllllllooc,''',:,'''''''. co. .',,,,,,,loll:::;,....,:clllooolc::llcclc:::::::;:l,,,,,,'. 'c'.,' .,;, .',;;,.';;;'. .'' ;; :c. ';. .',;;'',;;,'. .c, .,;'. .,..l; .''. ,l'.,. .';;. .';;;,'';;,'. .,' .c: ;:. .,. .';;;'.,;;,'. ,;,. .,..c, 'o ,;

.. .,;;;:odolllccccccccccllllol;'''''''''''''. .''',,,,,cool:::;,'..':cclloooooloooolloollc::::::;,,,,,,,'. .c;..;. .;;, ... .,. 'c. .l, .,. ... .c, .,;;. .,. ,c. .:, .,. .;;,. ... .,. ,l. .c' .,. ... ,;;. .;..;c. .o ,;

;o. .,,;;;oxdlclcc::;;;;;:cccllloo;',c,'''''''''..;; .''''',,,;;coocc:::;;,;clllloodxxoooooooooooooolc:::c,,,,,,,,'. ,l. .,. .,:' ',. .c:. ,:. '' .c, .:;. .;. .c, 'c. .;. .,:. .'. :; .:c. .,' .:,. .,. .l; .o ,;

.. .,,;;;cdddlccc:;'....',::ccllloc',:,'''''''''''lc .'',,,,;:cllloocccccc:clllloooxkxdlollllllllllooodl:cl:;,,,,,,,,. .l; .,..,;:;. .,' ,l' .c' ',. .c, :c;'..,. .;c. .c;. .,..';c:. .,' 'c. 'l, ';. ;c;,..,. ;l. .o ,;

.. .,,,;;;cxdoccc:;,...';:cccllol,'''''''''''''''. .,',;;:lllllll::cccc::looooodxkxxollllcccccclllloodoc:::;,,,,,,,,. ;l. ';;'';;,. .,. .c: ;c. .;. .c, ,l,';;. ',;, ;l. .;;,';;'. .;. .c:. ;l. .,. 'l,';;'.,,:, .o ,;

;o. .,,,;;;;cxdolcc:;,...';:ccllloc,,:,'''''''',;;dd,',;;:::::clcc:;,'';lc::looooooxkxxdolcc:;;,,;:cclllloooc:::;,,,,,,,,'. ,l:'...,::c;'. '' .cl;. .;lc. ,,. .c, ,lc;,...;::, ;lc' ..,;::;. .',. .cl;. .;lc. '' .lc:,...:::,. .o ,;

. .,,,;;;;;:ddlllcc::;,''',;:cclllool;;:,'''''',;::;dd;;::::::c::;,,,,''':c::llllllldkxxdolc:;,...';:cllloodl:::::,,,,,,,,'. .llll, 'lll:. .;,.;llll. ;lll,.';. .c, .clll, 'llll. .llll' ,lllc. .,'.,lll: .llll;.';. ;lll, 'llll' .o ,;

.' .',,,;;:cloooolllllcc::::ccccllloolccc::;;,'',::;;,,,,;:::c:;;,,,,,,,'';c::llccccccokxxdolc:;'...,;cclloodl::::::;,;;;;;,,.. .',;:'':;,'. .,;,..',c:';:,'..,;,. .c, .'';c,,c:,'. .'':c,,c;''. .,;,.',,:;':c,'..';,. .',;:,'::,'. .o ,;

,l. .,,,,;clodoollooooollllcccclllllol::ccc:cccc:;;:::;,xd;;::::;,,,,,,,,,,::;:llcccccclokxxdllc:;,...';:cllloodl::::::::c::::::;':kkkOKXXKOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkO0K0OkkO0KXX0OkkO0KOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxldkkkkkkkOKXXX0kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk0KXXKOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOK0Okkk0XXX0OkkO0K0OkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOKXXKOkkkkkkkkkkkkkkkkkkkkkkkkkkk0x ,;

.''''.,;;:cllloddoc;,:oollloollllllool:;,,;:cccc::cccccc::xd:::c:;;;;;;;;;;;;:::llllllccllokkxolllcc:;,,,,;:ccllloodlcc:::::::;;;;::c;,,..,lddl'...':c'...;odd:...,c:'...,c:'...,lddo;...,lddl,...:c,...:ddo:'..'c:'...'lddl,...;o ,;

., .',;,,,,:lcclclllcc:;,,,collolllllllllcc::::::::cccccccc:::::cc:cc:::;;;;;;;;;;:::llllllloodddxkxooollllcccccclllllooolclllccc::;,,,,;:::;'. .. .,. .. .;. .c, .. .. .;. .. .;. .. .o ,;

'c. ,;,... .;ccllcc:::::;;;collolc:::::::::::::::::cl:::::ccc:;,;kd:::::::;;;;;;;;;::lllllooddddddxdoododoooollllllloooollllcccclllc:;,;;;:::,,,. '. ';. .c, .;' ., .o ,;

.;,'. 'ccllccccllc::clllll::::::::::::::::::::c::::::::c:::dl,,;;:::::;:::ccccloloolllddddddolccoddooooooooooooolc::llllllccccccccccc:;,,,,'. ., ,' .c, ',. '. .o ,;

.. 'c...,c:;'....;cloollllllc:ccccclc::::::::::::::::::::::::::::cc:cccc:;;;,,;;;:;;,,,:lolllllooooolllll::looooooooooolllcccccccccccllllcccc::cc:;,,,,'. .;. .,. .c, .,. .,. .o ,;

.';:cc:;'. ...'''lx:;;;;;;;;;:ccc::::clooooooollcccccclc::::::::::::::::::::cc::::::cc:cc:kd:::::;;,,,'....'llllooolllllllllc:ldoooocccccccccccccccllccccccllllc:;;;;::::;,,'. ,,. .' .c, '' ', .o ,;

,::;,,,;;cc, ...'',,;;;;;;;;;;;;;;;;;;;;;;;ccccllcccllollooolccccclcccc::::::::::::::::::cc:::::ccccc::dl::::::::;,. .cllollllllllllllccooloocccccccccccccccclcccccccccccccc::;;;;;::;;,'.';;;,'. .;. ,. .c, .,. .;' .o ,;

':;'.. .';:c,...'',,,;;;;;;;;;;;;;;;;;;;;;;cxc;;;;;;;;;cccclc;;;:cllloooolcccclcccccccccccccc:::::::::ccc::ccclccc::lc::::ccclc:,....;clooolllllllllllcolcclcc::cc:::::::::::cccccccccccc::::ccc::;;;;;;:c:;;;;::;. .;. .;. .c, .;. .;. .o ,;

,;,. .,;cc,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;cxc;;;;;;;;:cccll;;;;;cclollllllllllccccccccccccccccccccc::clc::cllllcccl0xccccllllllccccccloooooooooooooololccllccccccccccccccccclcccccccccc::::::::cccc::;,;,'....',;:. .,,. .,,. .c, ,,. .,;. .o ,;

.:,'.. .';:c:,,''''''''''',,,,,,,,,,,,,;;;;;;;;;;;:;;;;;;;;:ccclc;;;;;;clc:;;;;;:clolcllccccccccccccccccccccccccllooollcccdoclllllllllccllllooolooooooooooolllcllcccccccccccccccccclcccclllllcccccccc:ccccccc:;'. .',:, .;;, .,;;. .c, .,;,. ,;;. .o ,;

.;:;,,,;;cc;,,;;;,''''''''''''''''''''''''''''''':o;,,,,,,;cc:cc;;;;;;:lc;,...';:loclllllllccccllllllllllllllloooolccccloollllllllllclllllllolloooooddddlcccllcccccccccccccccccccccccllllllcccc:::::;;;;;:cc;,.. .,;:. ..,,. .',.. .c, ..''. .,,.. .o ,;

..,;;;;;;,;;,,,,;;,,'''''''''''''''''''''''''''';l,''''.':::::,'''''':l:,' .,:clccllloooolllllllloooooooooooooolcccloOxlloollllllllllllllloooloddddddolllllcccccccccccccccccccolccllccc;;,,,'''....';::clc;,,''',;:' .',',' .c, ';','. .o ,;

.'',,,;,,,,;;,,'''''''''''''''''''''''''','''..':::c:,'...;l:;'. .',:cc::;:::ccccc::cccllllllllllloooooooooodoolllclllllllllllllllooooolcc:::cllollccccccccccccc::;;;;,,::::;'...',;::::;;::::::;,'. .''. .c, .''. .o ,;

.''''',,;;,,,;;;,'''''''''''''''''''''':d;'..,:c:cc,...',;:cc:;,,,,,;:c:;;::::;::::::::ccccc:::::::::cccccccclol::::ccccclllllllllllloooc:;'...,;:loolc:::;;;,,,''.'',,,,;c:::,...',;::;;:;;;,;;;;;;. .c, . ,;

.''''''',;;,,,;::;,''''''''''''''''''';c,..';c:cc;'...',::::::cccc:ccccc:;,,;::::;;::::ccc:::::::::::::::::ccccdc;;;;:cc::::;:::::::cclol:,. ..;:ll::;,''''''',;cclllllllccc,'...',:c::;::;,'',;;;;;;;' .c, ,;

.''''''''',,;::::::;,,'''''''''''',,;;;;,,;c::c:'..';::::::;;,',:ccc:;;::::;;,;:::::cccc:::::::::::::::::cccccc;;;;;ccccl:;;;;;;;;;:::ol:,. ..,:ll:;;;;;,,;:clccccccccccccccc:;;:cccc:;,'''''',,;;;;;;. .c, ,;

.'''''''''''',;:::::::;,'''''',:clllllllllllll:'',:c::::c:,''''',:::c:;;;;;:::;,,;;:ccc::::::::;;;;;:::::::::cl;;;;clcclc;;;;;;;;;;:clloc;,'...';:cl;,;::;;;:ccccc:::::::::::ccllccccc:,'..''''''',,,;;;;. .c, ,;

.''''''''''''',;::::::c:;,,;clllllccccclllllllc:cccccc;,,''''''',::c::;;;;;;:::;;,,;:ccc::::;;;;;;;;::::::::cdc;;:lcccc;;;;;;;;;:cclcccll::::::cc:,'''',::::ccc::::::;;;;::::cccccc;,'...''''''''',,,;;;,. .c, ,;

.''''''''''''''',;;::::::clllcccccccccccccllllcccc:;,''''''''''';::::::;;;;;;;;;:;;::cccc::;;;;;;;;:::::::ccl:;:lcccc:;::;;;;:cccc:ccccllllllc;,''''''';lccc::::;;;,,,,,;;;:::cccc;...'''''''''''',,,,;;' .c, ,;

.'''''''''''''''''';;:::ccccc:::::::::::cccccclo:'''''''''''''',;::ccc:;;:cc:;;:ccccc:::ccc:;;;;:::::clloooooloolllc;;::;:cccc:cccclcccoooll:,;,''''.'clcc::::;;,,''''',,;;;:::ccc,''''''''''''''',,,,,,. .c, ,;

.'''''''''''''''''''':llccc::::;;;;;;;:::ccllllll;''''''',,,',ccc::cllc;;;:;;:::ccccccc::::ccc:::cloooooollllloooool:;;:lllc:ccc:::cccccllllcc:;'',::clccc:::;;,,'...',,;;:::ccc:,''''''''''''''',,,,,. .c, ,;

.''''''''''''''''',clccc:::;;;,,,,,,;;;::cccllolcc:,',:c:,',:::::ccccc::::::::::ccccccccc::ccclooolllllllcllllllloolllllllc:;;::::cccccclllc,''....;llc::::;;,,'...',,;;::::clc,'''''''''''''''',,,,, .c, ,;

.''''''''''''''''':llcc:::;;,,''..'',,;;::ccloooc;,'''''''',;::::::cclc::::::::;;:cccccccccc::lllllccccccccccccloollllllc:;;;::::::cccccclll:';;,..;ddlc:::;;,,,'''''',,;;:::cll:'''''''''''''''''',,,,. .c, ,;

.'''''''''''''''';llcc:::;;,''....',,;;::cllood:',::;'',,,;::;;,,;:cccc::;;;;;;;;;:cccccccllllllcccc:::::::::cllllllool:;::::::::cllcccllllc;:::;::clccc:::;;;,,,,,,,;;;::cclll:;;,'''''''''''''''',,,' .c:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;

.''''''''''''''.'clcc:::;;;,''''',,;;:cclllool,',clc,';lll::clo:,;ldoo:;:::;;;;;:cccc:::coollcccc::;;;;;;;;:::ccllllooc::clooc:codolcccclllc;::::::ccccc:::::;;;;;;;:::ccllllc:::::;;,''''''''''''',,,. ...

.''''''''''''.',clccc::::;;,,,,,;;;:ccllloool:;,'''''''',;::::;,;oxxoc:looc;;lodlccllc:lolllccc::;;,,''',,;;::ccclllloc::clccccccccclllllll:;::;;,',clccccccc::::::::cllllc;;:::::::::;;,'''''''''',,'.

',,;;;,,'',,;cccllccc:::::;;;;;;:ccclllloolc:cc::;;,''''',;::;;::cc:cc:;;;;;:ccc::ccc:lollccc::;;,''...',,;:::ccclodl:::::::c::;;::cccccllc;''...',;clccccc:::::clllc:,''''',;;::::::;;,,,''''''',,.

';;;;;;:::::;:ccc::clcclccc:::::cccllllooo:::ccc::ccc::;,''',,,,,,,;::cc;;;:::::::;;;;;lollccc::;;,''...',,;:::ccloodl::::::c::;,,,;:ccccccl;...:cccclccccclcc:,'''''''''''',;;:;;,,,;;;,,'''';,.'..

.,;,','',::;;:::;,''.,:llccclcccccllllloool;''',;::ccc::cc:;;,,'''''',;::lc:;:c::::;;;;;:loollccc::;;,,,',,;;;:::clooddc:;;;;;c::;;,,;ccllccclc,'''''''';cccc:,,,,,,,''''''''''''''''''''',,;;,,,,;;,,:::;;;;;'.

.;,.. ...,;::;,'''...';cccllllcllooooolc:,,'''''''',;;::::;;;;;;;;,,'',;;clc:c::::;;::cclloolllccc:::;;;;;;;::::clooodolcc:;;,;::::::::cccccccc:,''''',;c::c:,'',,,,,,,,,,,,,,,''''''''''''''',,,,;,,;;;,...',,,.

.;,.. .'',;:c;,,,,,',;ccclc;;;:c::::;,'''''''''''''''''',,;;;;;;;;;;;;;;:clolccc::cccclcccllolllccccc:::::::::cllooodolccccllc::;;;:::;;;:ccc:cc,''''';c::::,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:;,'. .',;.

.,,'..,;:cc:,,,,,,,:ccclc,,;;;;;,,,,,,,,,,,,,,,,,'''''''''',,;;;;;,,;:::;;cc:ccc:::::ccc::;:lollllllccccccccllooodo:;:ccccccccllc:;,,,,,,;:cccc;'''',c::::,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',c;,'. .',;.

.'',,,::;,,,,,,,:c::cc;,;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;;;,...,::::::;;;,,'''''';lollllllllcclooooolc;,,,,,;::ccccccc:::;;,,,,;ccc:;'',:::::,,,;;;,;;;,,,,,,,,,,,,,,,,,,,'''... ':;,'....',,.

.,,,,,,,,:c::cc;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,::,'. .,:::c:''''''''''''cllllloolloodoolc;,,,,,,,,,,,,,;::c::;;;::::;,,:ccc::clc::;,,;;;;;;;;;;,,,,,,,,,''... .,;;;;;,'.

.,,,,,,;cc::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,''... .:;,.. .;llcl:,,,,,,,,,,,:lllll;;;;::::;,,,,,,,,,,,,,,,,,,,,,;;:::;;;;::::cll:::cccc;;;;;;;;;;;;,,,'... ...

.,,,;;cc::::;;;;;;;;;;;;;;;;;;;;;;;;;;,,''... .,;;,,,;col;,,,,,,,,,,;clcclc;,,;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;::;;;::;,..',;:c:;,''...

,clool:::c:;;;;;;;;;;;;;;;;;;;;;;;,... .;::::,;c;,,,,,,,,,,:lc:cl:,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;:::::;.. .,;cc..

INSTITUTE OF TECHNOLOGY

Linköping Studies in Science and Technology, Dissertation No. 1741, 2016 Thin Film Physics Division

Department of Physics, Chemistry, and Biology (IFM) Linköping University

SE-581 83 Linköping, Sweden

www. liu.se

Linköping Studies in Science and Technology Dissertation No. 1741

Christopher Tholander Piezoelectricity, Phase Stability, and Surface Diffusion in Multicomponent Nitrides2016

Piezoelectricity, Phase Stability, and Surface Diffusion in

Multicomponent Nitrides

Christopher Tholander

References

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