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Electron poor materials research group Group meeting Dec 16, 2010 Theory- PAW_PBE psuedo potentials. EOS relaxations and bader analysis of resultant structures.

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Electron poor materials research group. Group meeting Dec 16, 2010 Theory- PAW_PBE psuedo potentials. EOS relaxations and bader analysis of resultant structures. System’s under study. Electron Poor Materials ZnSb ZnAs Li 2 Sb Mg 3 Sb 2 Tetrahedral, sp 3 systems InSb GaSb ZnSe ZnTe - PowerPoint PPT Presentation

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Page 1: Electron poor materials research group

Electron poor materials research group

Group meeting Dec 16, 2010

Theory- PAW_PBE psuedo potentials. EOS relaxations and bader analysis of resultant structures.

Page 2: Electron poor materials research group

System’s under study Electron Poor Materials

ZnSb ZnAs Li2Sb Mg3Sb2

Tetrahedral, sp3 systems InSb GaSb ZnSe ZnTe GaAs Si

Page 3: Electron poor materials research group

Procedure Very accurate EOS relaxations were

preformed. The system cell shape and volume was relaxed

while the volume was kept fixed to give a point in the EOS curve.

A final relaxation was performed to bring the system to the target volume given by the Birch-Murnaghan EOS.

From the final relaxation a static calculation was performed to get the charge densities for Bader analysis.

Bader analysis was performed on the charge densities from the static run.

Page 4: Electron poor materials research group

Example INCAR for EOS relaxation.

System = InSb

NSW = 5 | number of ionic stepsISIF = 4 | ISIF=4 relax cellshape and ions. NOT volumeIBRION = 1 | ionic relaxation algorithmEDIFF = 1E-5 | break condition for elec. SCF loopEDIFFG = -1E-4 | break condition for ionic relaxation loop

MAXMIX = 80 | keep dielectric function between ionic movementsNELMIN = 6 | minimum number of electronic stepsNFREE = 15 | number of degrees of freedom (don't go above 20)

#RECOMMENDED MINIMUM SETUP#GGA= #xchange-correlation#VOSKOWN= #=1 if GGA=91; else = 0PREC = ACCURATE #PRECISION, sets fft gridENCUT = 225 #energy cutoff, commented to use enmax in potcarLREAL = .FALSE. #.FALSE. MEANS USE RECIPROCAL LATTICEISMEAR = 0 #0 means use gaussian smearing

It should be noted that not all relaxations have the same VASP setup as I had difficulties with some of the systems crashing in VASP with very accurate relaxation parameters. This was machine independent.

Page 5: Electron poor materials research group

Example INCAR for EOS static.

System = InSb

#ISTART = 0 # startjob: no WAVECAR file#ICHARGE = 2 # charge: from atoms#INIWAV = 1 # random initialization for wf.NELM = 40 # maximum of 40 electronic stepsNELMIN = 4 # minimum of 2 stepsNELMDL = -5 # no update of charge for 3 stepsEDIFF = 1E-5 # accuracy for electronic minimization

#RECOMMENDED MINIMUM SETUP#GGA= #xchange-correlation#VOSKOWN= #=1 if GGA=91; else = 0PREC = ACCURATE #PRECISION, sets fft gridENCUT = 225 #energy cutoff, commented to use enmax in potcarLREAL = .FALSE. #.FALSE. MEANS USE RECIPROCAL LATTICEISMEAR = -5 #-5 means use tetrahedral with blochl

It should be noted that not all relaxations have the same VASP setup as I had difficulties with some of the systems crashing in VASP with very accurate relaxation parameters. This was machine independent.

Page 6: Electron poor materials research group

INCAR For final relaxation calculations

System = InSb relaxsetup.sh

NSW = 20 | number of ionic stepsISIF = 4 | (ISIF=2 Relax ions only, ISIF=3 Relax everything)IBRION = 1 | ionic relaxation algorithmEDIFF = 1E-9 | break condition for elec. SCF loopEDIFFG = -1E-8 | break condition for ionic relaxation loop

MAXMIX = 80 | keep dielectric function between ionic movementsNELMIN = 8 | minimum number of electronic stepsNFREE = 20 | number of degrees of freedom (don't go above 20)

#RECOMMENDED MINIMUM SETUP#GGA= #xchange-correlation#VOSKOWN= #=1 if GGA=91; else = 0PREC = ACCURATE #PRECISION, sets fft gridENCUT = 225 #energy cutoff, determines number of lattice vectorsLREAL = .FALSE. #.FALSE. MEANS USE RECIPROCAL LATTICEISMEAR = 0 #determines how partial occupancies a set.

Page 7: Electron poor materials research group

INCAR For final static calculations

System = InSb

SIGMA = 0.01

#RECOMMENDED MINIMUM SETUPPREC = ACCURATE #PRECISIONENCUT = 225 LREAL = .FALSE. #.FALSE. MEANS USE RECIPROCAL LATTICEISMEAR = 0 #USE GAUSSIAN SMEARING

#FOR GW CALCULATIONS#LOPTICS = .TRUE.#NBANDS = 96

#FOR BADER ANALYSISLAECHG=.TRUE.NGXF = 126 #USE 6X NGX for bader analysisNGYF = 126NGZF = 126

Page 8: Electron poor materials research group

The equations of state for the 10 materials are below.

Equations of State

% differences are caluclated via:

Page 9: Electron poor materials research group

Exp Vol: 67.97

PAW_PBE Vol: 73.48

Page 10: Electron poor materials research group

Exp Vol: 56.63

PAW_PBE Vol: 60.31

Page 11: Electron poor materials research group

Exp Vol: 45.98

PAW_PBE Vol: 47.35

Page 12: Electron poor materials research group

Exp Vol: 56.83

PAW_PBE Vol: 59.17

Page 13: Electron poor materials research group

Exp Vol: 45.17

PAW_PBE Vol: 47.86

lat constant: 5.6533

Page 14: Electron poor materials research group

Exp Vol: 40.03

PAW_PBE Vol: 40.89

Page 15: Electron poor materials research group

Exp Vol: 388.93

PAW_PBE Vol: 404.82

Page 16: Electron poor materials research group

Exp Vol: 312.38

PAW_PBE Vol: 323.40

Page 17: Electron poor materials research group

Exp Vol: 130.64

PAW_PBE Vol: 133.17

Page 18: Electron poor materials research group

Exp Vol: 356.90

PAW_PBE Vol: 356.65

Page 19: Electron poor materials research group

Li2Sb EOS troubles.

The above graph is the ugliest out of the set which makes me worry about the results for this structure.

I have tried changing psuedo-potentials to include more core electrons (currently there is only 1 valence electron in the calculation). this however has crashed in the relaxation step I

believe due to the large number of plane waves needed. ENMAX in POTCAR is 650 eV for Li_pv.

It is not uncommon for VASP to in relaxation on these larger systems if the plane waves gets too big or the precision flag is set too high. This is machine independent.

Page 20: Electron poor materials research group

Equation of State Results.

Structure Name

Exp. Vol (Ang^3)

VASP Vol (Ang^3) %diff

InSb 67.97 73.48 8.11GaSb 56.63 60.31 6.50ZnSe 45.98 47.35 2.98ZnTe 56.83 59.17 4.12GaAs 45.17 47.86 5.96Si 40.03 40.89 2.15ZnSb 388.93 404.82 4.09ZnAs 312.38 323.40 3.53Mg3Sb2 130.64 133.17 1.94Li2Sb 356.90 356.65 0.07

Page 21: Electron poor materials research group

bader analysis of the structures that were relaxed from the target volume of the EOS calculations above.

Bader analysis

Page 22: Electron poor materials research group

InSb ACF.dat

# X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 0.0000 0.0000 0.0000 2.6002 1.2908 29.8637 2 1.6622 1.6622 1.6622 5.3998 1.4395 43.6185 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 8.0000

Charge Transfer: 0.3998

Page 23: Electron poor materials research group

GaSb ACF.dat

# X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 0.0000 0.0000 0.0000 2.7022 1.1483 22.2941 2 1.5563 1.5563 1.5563 5.2978 1.4227 38.0197 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 8.0000

Charge Transfer: 0.2978

Page 24: Electron poor materials research group

ZnSe ACF.dat

# X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 0.0000 0.0000 0.0000 11.2714 1.0616 15.9986 2 1.4358 1.4358 1.4358 6.7286 1.3224 31.3555 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 18.0000

Charge Transfer: 0.7286

Page 25: Electron poor materials research group

ZnTe ACF.dat

# X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 0.0000 0.0000 0.0000 11.4898 1.1104 18.5303 2 1.5464 1.5464 1.5464 6.5102 1.4456 40.6387 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 18.0000

Charge Transfer: 0.5102

Page 26: Electron poor materials research group

GaAs ACF.dat

# X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 0.0000 0.0000 0.0000 2.3848 1.0766 18.1258 2 1.4409 1.4409 1.4409 5.6152 1.2941 29.7357 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 8.0000

Charge Transfer: 0.6152

Page 27: Electron poor materials research group

Si ACF.dat

# X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 0.0000 0.0000 0.0000 3.9740 1.1403 20.3153 2 1.3672 1.3672 1.3672 4.0260 1.1183 20.5746 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 8.0000

Charge Transfer: 0.0260

Page 28: Electron poor materials research group

ZnSb ACF.dat # X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 2.8910 0.8296 7.1852 11.7353 1.1719 18.5852 2 0.2526 6.9946 3.0706 11.7353 1.1719 18.5852 3 3.3962 4.7417 5.1587 11.7353 1.1719 18.5852 4 6.0346 3.0825 1.0441 11.7353 1.1719 18.5852 5 3.3962 6.9946 1.0441 11.7353 1.1719 18.5852 6 6.0346 0.8296 5.1587 11.7353 1.1719 18.5852 7 2.8910 3.0825 3.0706 11.7353 1.1719 18.5852 8 0.2526 4.7417 7.1852 11.7353 1.1719 18.5852 9 0.8900 0.6496 0.9006 5.2645 1.3747 32.0161 10 2.2536 7.1746 5.0153 5.2650 1.3833 32.0181 11 5.3972 4.5617 3.2140 5.2650 1.3833 32.0181 12 4.0336 3.2625 7.3286 5.2645 1.3747 32.0161 13 5.3972 7.1746 7.3286 5.2650 1.3833 32.0181 14 4.0336 0.6496 3.2140 5.2645 1.3747 32.0161 15 0.8900 3.2625 5.0153 5.2645 1.3747 32.0161 16 2.2536 4.5617 0.9006 5.2650 1.3833 32.0181 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 136.0000 Charge Transfer: 0.2645

Page 29: Electron poor materials research group

ZnAs ACF.dat# X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 3.1025 4.5260 4.8534 11.5272 1.0976 15.9814 2 5.5241 2.8161 1.0239 11.5272 1.0976 15.9816 3 2.6485 0.8550 6.6352 11.5272 1.0976 15.9816 4 0.2270 6.4871 2.8056 11.5272 1.0976 15.9814 5 2.6485 2.8161 2.8056 11.5272 1.0976 15.9816 6 0.2270 4.5260 6.6352 11.5272 1.0976 15.9814 7 3.1025 6.4871 1.0239 11.5272 1.0976 15.9814 8 5.5241 0.8550 4.8534 11.5272 1.0976 15.9816 9 0.7864 0.5428 0.7776 5.4722 1.1688 24.4421 10 2.0891 6.7993 4.6072 5.4734 1.1816 24.4455 11 4.9647 4.2138 3.0519 5.4734 1.1816 24.4455 12 3.6619 3.1283 6.8814 5.4722 1.1688 24.4421 13 4.9647 6.7993 6.8814 5.4734 1.1816 24.4455 14 3.6619 0.5428 3.0519 5.4722 1.1688 24.4421 15 0.7864 3.1283 4.6072 5.4722 1.1688 24.4421 16 2.0891 4.2138 0.7776 5.4734 1.1816 24.4455 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 136.0000 Charge Transfer: 0.4722

Page 30: Electron poor materials research group

Mg3Sb2 ACF.dat # X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 0.0000 0.0000 0.0000 0.5183 1.0492 8.8431 2 0.0000 2.6546 4.5981 0.5550 0.9734 8.5351 3 2.2989 1.3273 2.6757 0.5550 0.9734 8.5351 4 0.0000 2.6546 1.6400 7.1859 1.7652 53.6294 5 2.2989 1.3273 5.6338 7.1857 1.7652 53.6263 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 16.0000

Charge Transfer: 2.1859

Page 31: Electron poor materials research group

Li2Sb ACF.dat # X Y Z CHARGE MIN DIST ATOMIC VOL -------------------------------------------------------------------------------- 1 2.3289 0.0000 0.0000 0.1760 0.8271 4.1821 2 6.7906 2.0169 0.0000 0.1760 0.8271 4.1821 3 2.8130 4.8723 0.0000 0.1761 0.8331 4.1818 4 2.3289 0.0000 3.2538 0.1760 0.8271 4.1821 5 6.7906 2.0169 3.2538 0.1760 0.8271 4.1821 6 2.8130 4.8723 3.2538 0.1761 0.8331 4.1818 7 1.0465 6.8893 1.6269 0.1615 0.8513 4.2817 8 -2.5120 4.3509 1.6269 0.1615 0.8513 4.2817 9 1.4655 2.5383 1.6269 0.1616 0.8644 4.2829 10 5.4430 4.3509 4.8808 0.1615 0.8513 4.2817 11 5.0240 0.0000 4.8808 0.1615 0.8513 4.2817 12 1.4655 2.5383 4.8808 0.1616 0.8644 4.2829 13 0.0000 0.0000 1.6269 6.7396 1.5930 51.1225 14 0.0000 0.0000 4.8808 6.7396 1.5930 51.1225 15 0.0000 4.5928 6.5077 6.6271 1.5930 50.9728 16 0.0000 4.5928 3.2538 6.6271 1.5930 50.9728 17 3.9775 2.2964 0.0000 6.6206 1.5930 50.8370 18 3.9775 2.2964 3.2538 6.6206 1.5930 50.8370 -------------------------------------------------------------------------------- VACUUM CHARGE: 0.0000 VACUUM VOLUME: 0.0000 NUMBER OF ELECTRONS: 42.0000 Charge Transfer: 1.7396

Page 32: Electron poor materials research group

Bader Analysis results

Crystal Name

Bader charge transfer

Pauling Electronegativity

Philips Ionicity1

Si 0.026 0 0ZnSb 0.2645 0.4GaSb 0.2978 0.24 0.261InSb 0.3998 0.27 0.321ZnAs 0.4722 0.53ZnTe 0.5102 0.45 0.546GaAs 0.6152 0.37 0.31ZnSe 0.7286 0.9 0.676Li2Sb 1.7396Mg3Sb2 2.1859

1.) Phillips. Rev. Mod. Phys. 42, 3, 1970