quantumespresso - quantumespresso · % dielectric constant in cartesian axis ( 13.99782 0.00000...

25
!"#$%&' !"#$%&'# )* +,-.-. %/0%10/2&-.' /2 3 !"#$%&'# 4* +,-.-.' &. 5-0/$ 6/2#$&/0' !"#$%&'# 7* +,-.-. 8&'5#$'&-. /.8 8#.'&29 -: '2/2#' !"#$%&'# ;* <#'2' =.2$-81%2&-.

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Page 1: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'

!"#$%&'#()*(+,-.-.(%/0%10/2&-.'(/2(3

!"#$%&'#(4*(+,-.-.'(&.(5-0/$(6/2#$&/0'

!"#$%&'#(7*(+,-.-.(8&'5#$'&-.(/.8(8#.'&29(-:('2/2#'

!"#$%&'#(;*(<#'2'

=.2$-81%2&-.

Page 2: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$#$%

!"#$%&'$"()'*#)+,)-./)01'!1'%-(')/2)-3).4"#01'&1'%#)'()4)#$/-)(56'47)'0).,&%#')+,%4/"-8

!! " "#!# ! " " $!%" !" " $!% & '!

""!# $!%

#!# ! " " $!% &#

($ !$ ! "

!)

*" %&'&"+ !#") !" "

() ! $#),#+%

97)#)

/0'47)''($)*+,)-.*)/0+1'"*'47)'0"&/(:

;7/0'$%4#/<'.%-'5)'.%&.,&%4)('*#"$'47)'&/-)%#'#)0="-0)'''''''''''''''''''''''''''%-('(/%2"-%&/>)('4"'2)4'=7"-"-'$"()0'%4'2:

** $$ %-*" !#$!%

?-4)#%4"$/.'*"#.)."-04%-40'@?ABC

Page 3: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.(%/0%10/2&-.'(/2(!

3/$2()*(4/0%10/2&-.(-5(2,#(+,-.-.(5$#61#.%&#'(-5('&0&%-.(/2(7

!"#$%&'"&(#)*%#+,-+.-,)/"0#.1%#)*%#1+&/$)#run_ph_G_Si.sh#/0#)*%#2/&%+)"&3#exercise14

prompt> ./run_ph_G_Si.sh &

!*%#1+&/$)#,--"51#3".#)"#$%&'"&(4

67#8#1+'#+,-+.-,)/"0#'"&#1/-/+"0#!"#"$%#%&'()(*+(',#-"+'."'+%#.1/09#$5:;

<7#8#$*"0"0#+,-+.-,)/"0#,)#=#.1/09#$*:;

Page 4: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$#%&'#&()&*)(+,-.#'-/#%,),&-.#!"#"$%#%&'()(*+(',#-"+'."'+%#*%,.0#1234

#&control calculation='scf' restart_mode='from_scratch', prefix='si', pseudo_dir = '../', / &system ibrav= 2, celldm(1) =10.187, nat= 2, ntyp= 1, ecutwfc =16 / &electrons conv_thr = 1.0d-10 /ATOMIC_SPECIES Si 0.0 Si.pz-rrkj.UPFATOMIC_POSITIONS Si 0.00 0.00 0.00 Si 0.25 0.25 0.25 K_POINTS AUTOMATIC4 4 4 1 1 1

56())7/#+8(.#'-/#%,61)7+-+()#7.7/09#&()&*)(+,-.%

!"#$%&'#()*(+,-.-.(%/0%10/2&-.'(/2(!

Page 5: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'&'#()*(+*),-&'#),#.#+/-'0#1%23

phonons at Gamma &inputph

prefix='si',

epsil=.true.,

fildyn='dyn.G',

tr2_ph=1.0d-14, /0.0 0.0 0.0

4'1+,#5-*6#/-21%72-'#&5#!"#$%

8-*6#(&',)-'-'0#,%6#9:');-()*#;),<-3

=&#()*(+*),6#,%6#9-6*6(,<-(#,6'/&<#)'9,%6#6556(,->6#(%)<06/

?);6#1<65-3#)/#-'#,%6#/(5#()*(+*),-&'@)'9#/);6#outdir"

=%<6/%&*9

!#1&-',#@."

!"#$%&'#()*(+,-.-.(%/0%10/2&-.'(/2(!

Page 6: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$"#%&'()%*'+$,-+."#%/

% Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 ) Effective charges (d Force / dE) in cartesian axis atom 1 Si Ex ( -0.07434 0.00000 0.00000 ) Ey ( 0.00000 -0.07434 0.00000 ) Ez ( 0.00000 0.00000 -0.07434 ) atom 2 Si Ex ( -0.07434 0.00000 0.00000 ) Ey ( 0.00000 -0.07434 0.00000 ) Ez ( 0.00000 0.00000 -0.07434 ) Diagonalizing the dynamical matrix q = ( 0.000000000 0.000000000 0.000000000 ) ************************************************************ omega( 1) = 0.081752 [THz] = 2.726975 [cm-1] omega( 2) = 0.081752 [THz] = 2.726975 [cm-1] omega( 3) = 0.081752 [THz] = 2.726975 [cm-1] omega( 4) = 15.549026 [THz] = 518.663131 [cm-1] omega( 5) = 15.549026 [THz] = 518.663131 [cm-1] omega( 6) = 15.549026 [THz] = 518.663131 [cm-1] ************************************************************

!"#$%&'#()*(+,-.-.(%/0%10/2&-.'(/2(!

Page 7: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'$()%$*+&,)-&(.)/"#01)2

Diagonalizing the dynamical matrix

q = ( 0.000000000 0.000000000 0.000000000 )

***************************************************************** omega( 1) = 0.081752 [THz] = 2.726975 [cm-1] ( 0.400413 0.000000 -0.325855 0.000000 -0.483206 0.000000 ) ( 0.400413 0.000000 -0.325855 0.000000 -0.483206 0.000000 ) omega( 2) = 0.081752 [THz] = 2.726975 [cm-1] ( 0.578307 0.000000 0.294894 0.000000 0.280354 0.000000 ) ( 0.578307 0.000000 0.294894 0.000000 0.280354 0.000000 ) omega( 3) = 0.081752 [THz] = 2.726975 [cm-1] ( 0.072322 0.000000 -0.553946 0.000000 0.433490 0.000000 ) ( 0.072322 0.000000 -0.553946 0.000000 0.433490 0.000000 ) omega( 4) = 15.549026 [THz] = 518.663131 [cm-1] ( -0.445151 0.000000 0.547867 0.000000 0.041012 0.000000 ) ( 0.445151 0.000000 -0.547867 0.000000 -0.041012 0.000000 ) omega( 5) = 15.549026 [THz] = 518.663131 [cm-1] ( -0.535639 0.000000 -0.444530 0.000000 0.124435 0.000000 ) ( 0.535639 0.000000 0.444530 0.000000 -0.124435 0.000000 ) omega( 6) = 15.549026 [THz] = 518.663131 [cm-1] ( 0.122195 0.000000 0.047270 0.000000 0.694863 0.000000 ) ( -0.122195 0.000000 -0.047270 0.000000 -0.694863 0.000000 ) *****************************************************************

!"#$%&'"(#)*%

+,&'"-.(#)*%

/0*1"'%*2342,5#6#62"-."$.-&'#6%2-&2!

Page 8: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&"'()'*%+",-#$.'-*$##%,$#-"&'/0"'-*/",$/(+-#')(,#"'#(*&/$*/&$*1'/0"'"))"#/-2"'#0$,3"&'1('*(/'&/,-#/.4'&$/-&)4'/0"')(..(5-*3',%."&'1%"'/(/0"'/,$*&.$/-(*$.'-*2$,-$*#"'()'/0"'&4&/"+6'

!'7*&%))-#-"*/.4'$##%,$/"'&#)'/0,"&0(.1&'8-*'95:;'$*1<(,'-*'90:;=:'''>?'@?A'BCD'.$,3"'/0,"&0(.1&'-*'95:;'/('&$2"'/-+"'EE

F"$&(*&')(,'*%+",-#$.'-*$##%,$#-"&6

!'GH'"*",34'-&'#(+9%/"1'-*',"$.'&9$#":'I(,"'9,(J."+$/-#')(,'KKL'/0$*''-*'M>L:'N(,'BC'9&"%1(9(/"*/-$.&'-/'#(%.1',"O%-,"'.$,3"'!"#$%&':

!'P'9(-*/'&$+9.-*3'*(/'$##%,$/"'"*(%30'8-*'9$,/-#%.$,'QR'$*1'S',"O%-,"'$'2",4'1"*&"'PT9(-*/'&$+9.-*3=:

U,(J."+&'5-/0'/0"'),"O%"*#4'()'/0"'$#(%&/-#'90(*(*'+(1"&'$/'V'$*15-/0'/0"'"))"#/-2"'#0$,3"&:

!"#$%&'#()*(+,-.-.(%/0%10/2&-.'(/2(!

Page 9: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$!"#$%&'"(%$)(*$+,%$%&'$"()#*#+$,#$-./(0#1$&23#+$3"#$/"('('%&4%54&3-('6$$

prompt> dynmat.x < si.dynmat.in > si.dynmat.out

!($1($3"-0$)#$50#$3"#$%(1#$!"#$%&'($)"-%"$-./(0#0$3"#$&%(503-%$05.+54#0$('$3"#$#4#.#'30$(2$3"#$17'&.-%&4$.&3+-8$&'1$17&9('&4-:#0$-36!"#$-'/53$(2$!"#$%&'($-'$3"-0$%&0#$-0;

$&input fildyn='dyn.G', asr='simple', /

<-4#$%('3&-'-'9$3"#$17'&.-%&4$.&3+-8=$)&7$3($-./(0#$3"#$&%(503-%$05.$+54#0>-2$7(5$/53$'no'$-'03#&1$(2$'simple'3"#$%(1#$1(#0$'(3$-./(0#$3"#$&0+?$

!($05,.-3$3"#$%&4%54&3-(';$$

!"#$%&'#()*(+,-.-.(%/0%10/2&-.'(/2(!

Page 10: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'()*+,-./01)&20)3450)!"#$%&'()&)624/2)/,#&%4#1)&20)#06)3+07.0#/4018

prompt> xcrysden –axsf dynmat.axsf &

diagonalizing the dynamical matrix ... q = 0.0000 0.0000 0.0000 ************************************************************************** omega( 1) = 0.000000 [THz] = 0.000000 [cm-1] ( 0.000000 0.000000 -0.707107 0.000000 0.000000 0.000000 ) ( 0.000000 0.000000 -0.707107 0.000000 0.000000 0.000000 ) omega( 2) = 0.000000 [THz] = 0.000000 [cm-1] ( -0.707107 0.000000 0.000000 0.000000 0.000000 0.000000 ) ( -0.707107 0.000000 0.000000 0.000000 0.000000 0.000000 ) omega( 3) = 0.000000 [THz] = 0.000000 [cm-1] ( 0.000000 0.000000 0.000000 0.000000 -0.707107 0.000000 ) ( 0.000000 0.000000 0.000000 0.000000 -0.707107 0.000000 ) omega( 4) = 15.548811 [THz] = 518.655959 [cm-1] ( 0.000000 0.000000 0.707107 0.000000 0.000000 0.000000 ) ( 0.000000 0.000000 -0.707107 0.000000 0.000000 0.000000 ) omega( 5) = 15.548811 [THz] = 518.655959 [cm-1] ( 0.000000 0.000000 0.000000 0.000000 -0.707107 0.000000 ) ( 0.000000 0.000000 0.000000 0.000000 0.707107 0.000000 ) omega( 6) = 15.548811 [THz] = 518.655959 [cm-1] ( -0.707107 0.000000 0.000000 0.000000 0.000000 0.000000 ) ( 0.707107 0.000000 0.000000 0.000000 0.000000 0.000000 ) **************************************************************************

!"#$%&'()/+0%&01)%51,)&20)3450)!"#$%&'%*+,)624/2)/,#&%4#1)&20)*2,#,#0490#-41*5%/0$0#&1'):,.)/%#).10)(/+"1-0#)&,);41.%54<0)&20$8

!"#$%&'#()*(+,-.-.(%/0%10/2&-.'(/2(!

Page 11: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.'(&.(+-/0$(102#$&0/'

Page 12: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$!%&$!#'()*%!(+,-*&-.-/0/#1#&!%2!'30'+03%$!%&$!*&2,2,#!3%!4!5

prompt> ./run_ph_G_AlAs.sh &

!"#$%&'%!()*)*+%,*%-)."#%/"$0#,".+%

Dielectric constant in cartesian axis ( 9.33612 0.00000 0.00000 ) ( 0.00000 9.33612 0.00000 ) ( 0.00000 0.00000 9.33612 ) Effective charges (d Force / dE) in cartesian axis atom 1 Al Ex ( 2.12370 0.00000 0.00000 ) Ey ( 0.00000 2.12370 0.00000 ) Ez ( 0.00000 0.00000 2.12370 ) atom 2 As Ex ( -2.17270 0.00000 0.00000 ) Ey ( 0.00000 -2.17270 0.00000 ) Ez ( 0.00000 0.00000 -2.17270 ) Diagonalizing the dynamical matrix q = ( 0.000000000 0.000000000 0.000000000 ) ************************************************************* omega( 1) = 0.155039 [THz] = 5.171595 [cm-1] omega( 2) = 0.155039 [THz] = 5.171595 [cm-1] omega( 3) = 0.155039 [THz] = 5.171595 [cm-1] omega( 4) = 11.220317 [THz] = 374.271992 [cm-1] omega( 5) = 11.220317 [THz] = 374.271992 [cm-1] omega( 6) = 11.220317 [THz] = 374.271992 [cm-1] *************************************************************

1)%23453+-.,$$,*6

780#9,+0%&'%-()*)*+%,*%-)."#%/"$0#,".+

Page 13: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%%#&'(#)")*$)$+,&-.#&(/0#&"#&'(#1"/.(#.")2&$)&2#$)%#/(.$+.3+$&(#&'(1/(43().-(2#5(#32(#%,)0$&6768)#&'-2#.$2(#&'(#-)93&#1"/#%,)0$&67#-2:

prompt> dynmat.x < alas.dynmat.in > alas.dynmat.out

#&input fildyn='dyn.G', asr='simple', q(1)=1.d0, q(2)=0.d0, q(3)=0.d0 /

;-/(.&-")#1"/#&'(#<=*!=29+-&&-)>6

#?(*.$+.3+$&(#&'(#9'")")2#$&#@#:

# mode [cm-1] [THz] IR 1 0.00 0.0000 0.0000 2 0.00 0.0000 0.0000 3 0.00 0.0000 0.0000 4 374.24 11.2195 5.3672 5 374.24 11.2195 5.3672 6 410.67 12.3115 5.3672

#A'(.B#&'(#"3&93&#1-+(#:

!"#$"%&'())(*+

,-./0(%.1231&45*5*%1(*1&5'6/176)./(6'%

Page 14: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.'(&.(+-/0$(102#$&0/'

# mode [cm-1] [THz] IR 1 0.00 0.0000 0.0000 2 0.00 0.0000 0.0000 3 0.00 0.0000 0.0000 4 374.24 11.2195 5.3672 5 374.24 11.2195 5.3672 6 410.67 12.3115 5.3672

Page 15: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'(#)*&#$+'$(,-(*-,+#$%"'.'./$0'&$!!"$1/$+"#$/,2#$,/$+"#$'.#$0'&,$(,-(*-,+1'.$,+$34

5')106$+"#$/(&1%+$&*.7%"787914/"$,.)$(,-(*-,+#$+"#$%"'.'./$,+$:$;$<=>=>?@A

?@ prompt> cp ../exercise1/run_ph_G_Si.sh run_ph_X_Si.sh

B@$C/#$6'*&$0,D'&1+#$#)1+'&$+'$&#2'D#$epsil=.true.$<+",+$E'&F/$'.-6$,+$3@>$$$$(",.G#$+"#$!$%'1.+$,.)$+"#$.,2#$'0$+"#$)6.,21(,-$2,+&1H4

I@$JH#(*+#$+"#$.#E$/(&1%+A prompt> ./run_ph_X_Si.sh &

!"#$#$%&'(&)('*+#$%,#-%!!"%

K'+1(#$+",+$+"#$'*+%*+$01-#$0'&$+"#$%"'.'.$(,-(*-,+1'.$1/$/-1G"+-6$)100#&#.+$

0&'2$+"#$'.#$,+$!!"4$L+$1/$M#(,*/#$0'&$!!"$+"#$(')#$",/$+'$(,-(*-,+#$,-/'$+"#$E,D#0*.(+1'./$N

#"!$$<1.$,))1+1'.$+'$+"#$N

#O/$1.$+"#$/(0$(,-(*-,+1'.@4

K'+1(#$,-/'$+",+$+"#$/622#+&6$'0$+"#$#$%&&'()*+,'*-'!$1/$*/#)$<.'+$+"#$(&6/+,-$/622#+&6@4

./0-&+10%23%4"#$#$%5+140-1+#$%&'(&)('*+#$1

Page 16: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.(/&'+#$'&-.(%01%2103&-.'

4&$'3('3#+*(5,-.-.(%01%2103&-.(-.(0(6$&/(-7(8(+-&.3'(

!"#$%&'()*'+,-$.('run_ph_X_Si.sh'/+'#*+,-$0*#'0*1"23

prompt> cp run_ph_X_Si.sh run_ph_Si.sh

45'6)*'+,-$.('+)"71#'/11"2'&"7'("'.*-%"-8'0"()'+,%'/9#'.)"9"9',/1,71/($"9+3

phonons on a grid &inputph prefix='si', epsil=.true., ldisp=.true. fildyn='dyn', nq1=4, nq2=4, nq3=4, tr2_ph=1.0d-14, /

6)*'$9.7('%$1*'%"-'()*'.)"9"9',/1,71/($"9+'+)"71#'0*'1$:*'()$+;

<9$%"-8'=-$#'"%'>'."$9(+

?.($"9'%"-'()*',/1,71/($"9'"9'/'=-$#

6)*'.)"9"9',"#*'=*9*-/(*+'()*'%$1*+'"%'()*'#&9/8$,/1'8/(-$,*+'"9'()*+.*,$%$*#'=-$#'"%'."$9(+3'6)*'%$1*+'/-*'dyn1, dyn2, ... dyn836)*'%$1*'dyn0',"9(/$9+'()*'1$+('"%'()*'$9*>7$@/1*9('>'."$9(+'ABC'$9'()$+',/+*53

D5

Page 17: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.(/&'+#$'&-.(%01%2103&-.'

4#%-./('3#+*(%01%2103&-.(-5(3,#(&.3#$03-6&%(5-$%#(%-.'30.3'(

!"#$%"#&'"#()*"#+,-./.#0'"#123$&#415"#4)-#+,-./#1%6

prompt> q2r.x < q2r.in > q2r.out

0)#3"-4)-7#&'"#(85($58&1)26

&input fildyn='dyn', zasr='simple', flfrc='si.444.fc' / 9$&3$&#415"#)4#&'"#12&"-8&)71(#4)-("

()2%&82&%

:;2871(85#78&-1("%#4-)7#&'"#3')2)2(85($58&1)2

!"#!$ !"%"$

<8&-1("%#)2#8#=-1*)4#+#3)12&%#>/>/>12#-"(13-)(85#%38("

?2&"-8&)71(#4)-("#()2%&82&%12#8#%$3"-("55#>/>/>#12-"85#%38("

! !%" "#"

#$

$!! !#!"%

& #! % "

Page 18: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.(/&'+#$'&-.(%01%2103&-.'

4,&$/('3#+*(+,-.-.'(03(0(5#.#$&%(67(+-&.3(2'&.5(3,#(89:

!"#$%"#&'"#()*"#+,&*-./0/#1'"#2.3$&#425"#4)6#+,&*-./0#2%7

prompt> matdyn.x < matdyn_ex.in > matdyn_ex.out

1)#3"64)6+#&'"#(,5($5,&2).7

&input asr='simple', amass(1)=28.0855, flfrc='si.444.fc', flfrq='si.freq' /1 0.300000 0.200000 0.050000

8$&3$&#425"#)4#&'"#46"9$".(2"%:;<#2.3$&#425"

!"#$%!"&!%

=-.,+2(,5#+,&620,&#,#>"."62(#9?#3)2.&

:.&"6,&)+2(#4)6("#().%&,.&%2.#,#%$3"6("55#@0@0@#2.6",5#%3,("

! !# " "#$!! !&! "#

%$ # " &!

@$+A"6#)4#9#3)2.&%B2%&#)4#9#3)2.&%

9-2$&#$(&.3#$+-103&-.

Page 19: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.(/&'+#$'&-.(%01%2103&-.'

4&(+,-.-.(/&'+#$'&-.

!"#$%&'()&"*+#,'&run_dispersion_Si.sh&-./&*0$&*01*/10')&0$2&%)$)+0')0&,1.'&.3&'()&,(.$.$&2#",)+"#.$4

prompt> ./run_dispersion_Si.sh &

5()&"*+#,'&#$*1/2)"&0&!"#$%&'(&*01*/10'#.$&.$&0&1#"'&.3&6&,.#$'"&701.$%,0+'#*/10+&1#$)"&#$&'()&8+#11./#$&9.$):&0$2&0&)*+#,"&$'(&,."';,+.*)""#$%*01*/10'#.$&'(0'&%)$)+0')"&0&/")+;3+#)$21-&3#1)&.3&'()&3+)6/)$*#)"&0$2&0,."'"*+#,'&3#%/+)<

!"#$%&0&%$/,1.'&"*+#,'&7)*+#-$./)01/.+&'2&3:&-./&*0$&,1.'&'()&'().+)'#*01+)"/1'"&'.%)'()+&=#'(&".>)&)?,)+#>)$'01&20'0&7)?,<20':4

prompt> gnuplot plot_dispersion.gnu

Page 20: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.(/&'+#$'&-.(%01%2103&-.'

4&(+,-.-.(/&'+#$'&-.(56&1#(7.2+1-38/&'+#$'&-.9#+':

!"#$$%&#'()%'*(%+(,(-..

Page 21: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.(/&'+#$'&-.(%01%2103&-.'

4&(5&6$03&-.01(/#.'&37(-8('303#'

!"#$%&'#$()*'+,-.$%),$)/0&$1#$20#'$*&$%)/%2/)*#$*"#$3"&,&,$'#,04*+&5$0*)*#0-$6,$*"40$%)0#$*"#$4,32*$54/#$0"&2/'$1#$/47#$*"408

9)/%2/)*#$*"#$3"&,&,$'#,04*+$&5$0*)*#0$204,:$'455#;#,*$:;4'$&5$<$3&4,*0-="4%"$:;4'$:4>#0$)$%&,>#;:#'$;#02/*?

@&'45+$*"#$()*'+,-.$4,32*$54/#$),'$3#;5&;($*"#$%)/%2/)*4&,-A&2$%),$20#$*"#$:,23/&*$0%;43*$3/&*B'&0-:,2$*&$:#,#;)*#$)$34%*2;#-

prompt> gnuplot plot_dos.gnu

&input asr='simple', amass(1)=28.0855, flfrc='si.444.fc', flfrq='si.dos.freq' dos=.true., fldos='si.dos' deltaE=1.d0, nk1=4, nk2=4, nk3=4, /

C;4'$&5$<$3&4,*0$5&;$*"#$DEF%)/%2/)*4&,

E3*4&,$5&;$)$DEF$%)/%2/)*4&,

G,#;:+$4,*#;>)/

Page 22: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(+,-.-.(/&'+#$'&-.(%01%2103&-.'

4&(5&6$03&-.01(/#.'&37(-8('303#'

!"#$%#&'()*'+,-.

/012)*3454#36'+,-.

7849'#)4:54)4:#)/012)93)&8"+5;9<#=)48)>754)?)@:#"#)754)93)4:#)&%+A#")

8B548+3)C#")%&94)'#;;)*754DE)B8")29;9'8&.F

Page 23: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(%+#%,&-.(/+#(012$&#$(&-/#$3145/&1-

!"#$%!"&!%

!"#$%&'$()%$*+&,$*)$)-.#.+&')/0)12&#*

3#*.+$*2%&')42+'.)'2#5*$#*5&#)$)561.+'.(()7,7,7)&#+.$()51$'.

! !# " "#$!! !&! "#

%$ # " &!

012$&#$(&-/#$3145/&1-

8.)#..9)*2)':.';)&4)*:.)<26+&.+)&#*.+12($*&2#)=2+;5)1+21.+(">?2)92)*:$*)=.)'$#)'$('6($*.@

AB)*:.)1:2#2#)4+./6.#'&.5)$*)$)'.+*$&#)/)12&#*)C#2*)D.(2#-&#-)*2)*:.)-+&9))))2#)=:&':)=.)'$('6($*.9)*:.)9"#$%&'$()%$*+&'.5B)65&#-)%$*9"#>,)$#9)))))26+)4&(.)24)*:.)&#*.+$*2%&')42+'.)'2#5*$#*5)C4+2%).,.+'&5.EB>

FB)*:.)1:2#2#)4+./6.#'&.5)$*)*:.)5$%.)12&#*)65&#-)1:>,)C&>.>)1.+42+%&#-))))*:.)!"#$%$&$')'$('6($*&2#B>

$#9)'2%1$+.)*:.)+.56(*5>G26)'$#)+6#)$)1:>,)'$('6($*&2#)%29&4"&#-)*:.)5'+&1*)24).,.+'&5.E)$#91.+42+%)$)%$*9"#>,)'$('6($*&2#)$5)&#).,.+'&5.E>

Page 24: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(%+#%,&-.(/+#(012$&#$(&-/#$3145/&1-

!"#$%&'$#()$*+)$(%,-.*$,#'/%+)%0/1-2(+$&'3$#()$.4"*/%+)%025'#$6+),)$*+)$%"7.&,-("'$-($3"')$&#*"7&*-%&448$9",$&$9):$;$."-'*(2

Page 25: QUANTUMESPRESSO - QUANTUMESPRESSO · % Dielectric constant in cartesian axis ( 13.99782 0.00000 0.00000 ) ( 0.00000 13.99782 0.00000 ) ( 0.00000 0.00000 13.99782 )

! !

!"#$%&'#()*(%+#%,&-.(/+#(012$&#$(&-/#$3145/&1-

!"#$%&'()#($)*+#(,&-.+)&*$/&(01$)2$+"#$)*+#(.+&3)4$2&(4#$4&*1+.*+1.(#$0*&/*$&*$.$1'22)4)#*+-5$-.(6#$1',#(4#--$7)8#9$-.(6#$#*&'6"$6():$&2!$,&)*+1$)*$+"#$,"&*&*$4.-4'-.+)&*;8!"#(#$.(#$4.1#1$)*$/")4"$+"#$)*+#(.+&3)4$2&(4#$4&*1+.*+1$.(#$-&*6$(.*6#.*:$+"#$%&'()#($)*+#(,&-.+)&*$:&#1$*&+$/&(0$,(&,#(-5<$$

=;$>"#*$+"#(#$.(#$?&"*$.*&3.-)#1$)*$3#+.-18$@*$+")1$4.1#$+"#$:5*.3)4.-$$$$3.+()4#1$.(#$*&+$.$13&&+"$2'*4+)&*$&2$A$.*:$+"#$)*+#(.+&3)4$2&(4#$$$$4&*1+.*+1$.(#$-&*6$(.*6#8

B;$@*$,&-.($)*1'-.+&(1$/"#(#$+"#$.+&3)4$:)1,-.4#3#*+1$6#*#(.+#$-&*6$$$$(.*6#$#-#4+(&1+.+)4$)*+#(.4+)&*1$.*:$+"#$:5*.3)4.-$3.+()C$)1$*&*$$$$.*.-5+)4$2&($A$D$E8$F1$/#$".G#$1##*9$+")1$4.1#9$"&/#G#(9$4.*$H#$:#.-+$$$$/)+"$H5$4.-4'-.+)*6$+"#$I&(*$#22#4+)G#$4".(6#1$.*:$+"#$:)#-#4+()4$$$$+#*1&($&2$+"#$3.+#().-8$