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band_structure [2009/11/25 22:24] jelen |
band_structure [2012/11/30 10:16] dani |
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multiplot> plot "ek.dat" using 1:7 with lines | multiplot> plot "ek.dat" using 1:7 with lines | ||
| | ||
- | {{:si-bulk:si-bulk.png|Si-bulk Band Structure}} | + | {{:si-bulk:si-bulk.png?400|Si-bulk Band Structure}} |
| | ||
===== DOS ===== | ===== DOS ===== | ||
+ | |||
+ | To plot Density of state, first, we have to achieve SCF solution in the same way as above (see previous [[band_structure|section]]). | ||
+ | Next we perform calculation with fixed SCF charges (switching on **''ifixcharge =1''**). The DOS calculation is initialized via variable **''iwrtdos''** in the section **''&OUTPUT''**. Hence, our **''fireball.in''** file looks like that: | ||
+ | |||
+ | &OPTION | ||
+ | basisfile = Si.bas | ||
+ | lvsfile = Si.lvs | ||
+ | kptpreference = Si.kpts | ||
+ | nstepf = 1 | ||
+ | ifixcharge = 1 | ||
+ | rescal = 5.5 | ||
+ | &END | ||
+ | &OUTPUT | ||
+ | iwrtdos = 1 | ||
+ | &END | ||
+ | |||
+ | In addition, **''dos.optional''** has to be presented in a working directory having following distance: | ||
+ | |||
+ | 1.0 ! scale factor (leave 1.0) | ||
+ | 1 2 ! list of atoms to analyze DOS | ||
+ | 360 ! number of energy steps | ||
+ | -18.0 0.05 ! initial energy, energy step | ||
+ | 0 ! leave untouched | ||
+ | 0.0 0.0 ! leave untouched | ||
+ | 0.05 ! imaginary part of Green function (controls energy level smearing) | ||
+ | |||
+ | After finishing a run, we obtain **''dens_001.dat''**,**''dens_002.dat''** including projected DOS on two Si atoms in the unit cell (including projected DOS onto individual shells of atoms). Additionally, there is a file **''dens_TOT.dat''** containing DOS. Here, a first column means energy and a second one DOS. | ||
+ | |||
+ | mac135> gnuplot | ||
+ | gnuplot> set xrange [0:1] | ||
+ | gnuplot> set yrange [-17:0] | ||
+ | gnuplot> set xlabel "DOS [arb. units]" | ||
+ | gnuplot> set ylabel "Energy [eV]" | ||
+ | gnuplot> plot "dens_TOT.dat" using 2:1 title 'Total DOS' with lines, \ | ||
+ | "dens_001.dat" using 11:1 title 'PDOS Si atom ' with lines | ||
+ | |||
+ | {{:si-bulk:pdos-si_bulk.png?400|DOS Si Bulk}} | ||
+ | |||
+ | ===== The bulk modulus ===== | ||
+ | |||
+ | $ ls | ||
+ | Fdata uno.bas uno.kpts uno.lvs vol.sh | ||
+ | | ||
+ | $ head uno.bas | ||
+ | 2 | ||
+ | 14 0.000000 0.000000 0.000000 | ||
+ | 14 0.250000 0.250000 0.250000 | ||
+ | | ||
+ | $ head uno.kpts | ||
+ | 32 | ||
+ | -2.35619449 -2.35619449 -2.35619449 0.03125000 | ||
+ | -3.92699081 -0.78539816 -0.78539816 0.03125000 | ||
+ | -5.49778713 0.78539816 0.78539816 0.03125000 | ||
+ | -7.06858347 2.35619449 2.35619449 0.03125000 | ||
+ | -0.78539816 -3.92699081 -0.78539816 0.03125000 | ||
+ | -2.35619449 -2.35619449 0.78539816 0.03125000 | ||
+ | -3.92699081 -0.78539816 2.35619449 0.03125000 | ||
+ | -5.49778713 0.78539816 3.92699081 0.03125000 | ||
+ | 0.78539816 -5.49778713 0.78539816 0.03125000 | ||
+ | | ||
+ | $ head uno.lvs | ||
+ | 0.5000 0.5000 0.0000 | ||
+ | 0.5000 0.0000 0.5000 | ||
+ | 0.0000 0.5000 0.5000 | ||
+ | |||
+ | The script to calculate the bulk modulus | ||
+ | $ cat vol.sh | ||
+ | #!/bin/bash | ||
+ | |||
+ | ##----- Parametros de control (el parametro de red tiene que encontrase entre ini fin --------## | ||
+ | N=10 | ||
+ | ini=5.0 | ||
+ | fin=6.0 | ||
+ | |||
+ | ##----------Funcion analisis para dos atomos/celda-----------------------------------------## | ||
+ | function analisis { | ||
+ | ETOT=$(grep 'ETOT' salida.out|cut -d'=' -f2) | ||
+ | sigma=$(grep sigma salida.out | cut -d'=' -f16 | tail -1) | ||
+ | charge=$(head -2 uno.bas | tail -1 | tr -s ' ' | cut -d' ' -f2)' -> '$(head -2 CHARGES | tail -1) | ||
+ | charge=$charge' ;'$(head -3 uno.bas | tail -1 | tr -s ' ' | cut -d' ' -f2)' -> ' | ||
+ | charge=$charge$(tail -1 CHARGES) | ||
+ | echo $rescal$'\t'$ETOT$'\t'$sigma$'\t'$charge$'\t'>>salida | ||
+ | } | ||
+ | ##------------------------------------------------------------------------------------------## | ||
+ | function start { | ||
+ | rm -fr salida | ||
+ | for((i=0;i<=N;i++)) | ||
+ | do | ||
+ | rescal=$(python -c "print '%.6f' % ($i*1.0*($fin-$ini)/$N+$ini)") | ||
+ | echo "&option | ||
+ | basisfile = uno.bas | ||
+ | lvsfile = uno.lvs | ||
+ | kptpreference = uno.kpts | ||
+ | rescal = $rescal | ||
+ | sigmatol = 0.000001 | ||
+ | nstepf = 1 | ||
+ | &end | ||
+ | &output | ||
+ | iwrtxyz = 1 | ||
+ | &end" > fireball.in | ||
+ | ../progs/fireball.x > salida.out | ||
+ | | ||
+ | analisis | ||
+ | done | ||
+ | } | ||
+ | ##----------------------------------1º start ----------------------------------------------## | ||
+ | start | ||
+ | ##-----------------------------buscamos el minimo ------------------------------------------## | ||
+ | min=$(python -c " | ||
+ | x0 = [] | ||
+ | y0 = [] | ||
+ | for line in file(\"salida\"): | ||
+ | line = line.split() | ||
+ | x = line[0] | ||
+ | y = line[1] | ||
+ | x0.append(x) | ||
+ | y0.append(y) | ||
+ | | ||
+ | j=0 | ||
+ | for i in range(len(x0)): | ||
+ | if y0[j]< y0[i]: | ||
+ | j=i | ||
+ | print x0[j]") | ||
+ | cp salida borrar | ||
+ | rm -fr aux.py | ||
+ | | ||
+ | ##----------------------------------2º start -----------------------------------------------## | ||
+ | N=40 | ||
+ | d=0.4 | ||
+ | ini=$(python -c "print '%.6f' % (1.0*($min-$d))") | ||
+ | fin=$(python -c "print '%.6f' % (1.0*($min+$d))") | ||
+ | start | ||
+ | mv salida Vol.dat | ||
+ | ##------------------------------------------------------------------------------------------## | ||
+ | |||
+ | In the 1º start of the script "vol.sh" takes 10 points between 5-6: | ||
+ | |||
+ | {{:bulk-si-10.png|}} | ||
+ | |||
+ | In the 2º start of the script "vol.sh" takes 40 points between the minimum of the 1º start | ||
+ | |||
+ | {{:si-bulk-40.png|}} | ||
+ | |||
+ | The scripts uses the parameter rescal in fireball.in and unitary positions and lattice vectors with 2 atoms/cell | ||
+ | to obtain the kpts points we used xeo: | ||
+ | |||
+ | {{:xeo-menu-kpts.png|}} | ||
+ | |||
+ | {{:xeo-kpts.png|}} | ||
+ | |||
+ | The bulk mudulus can be calculed also with xeo (Utilities->Bulk modulus), in the in line command: | ||
+ | |||
+ | $ xeo -Bulk Vol.dat zincblende | ||
+ | E_min = -214.35239 eV | ||
+ | a_min = 5.43719 angs | ||
+ | Volumen = 40.18518 ang**3 | ||
+ | Bulk modulus = 100.79399 GPa | ||
+ | |||
+ | |||
+ |