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Structure info
Layer group p-3m1
Layer group number 72
Structure origin original03-18
COD id of parent bulk structure COD 5910006
Mono/few-layer report(s) 10.1021/jacs.5b03807
Stability
Energy above convex hull [eV/atom] 0.000
Heat of formation [eV/atom] -1.585
Dynamically stable Yes
Basic properties
Magnetic No
Band gap (PBE) [eV] 1.159
Band gap (HSE06) [eV] 2.167
Band gap (G₀W₀) [eV] 2.885
XYZ CIF JSON
Axis x [Å] y [Å] z [Å] Periodic
1 3.682 0.000 0.000 Yes
2 -1.841 3.189 0.000 Yes
3 -0.000 0.000 17.891 No
Lengths [Å] 3.682 3.682 17.891
Angles [°] 90.000 90.000 120.000

Symmetries
2D Bravais type Hexagonal (hp)
Layer group number 72
Layer group p-3m1
Space group number (bulk in AA-stacking) 164
Space group (bulk in AA-stacking) P-3m1
Point group -3m
Inversion symmetry Yes
Structure data
Formula ZrS2
Stoichiometry AB2
Number of atoms 3
Unit cell area [Å2] 11.743
Thickness [Å] 2.892

ZrS2 (1ZrS2-1)
Heat of formation [eV/atom] -1.59
Energy above convex hull [eV/atom] 0.00
Monolayers from C2DB
ZrS2, (1ZrS2-1) -1.59 eV/atom
Zr2S4 (2ZrS2-1) -1.52 eV/atom
Zr2S4 (2ZrS2-2) -1.40 eV/atom
ZrS2 (1ZrS2-2) -1.40 eV/atom
ZrS2 (1ZrS2-3) -1.28 eV/atom
Zr2S6 (2ZrS3-1) -1.25 eV/atom
S2Zr3 (1S2Zr3-1) -1.24 eV/atom
S2Zr2 (2SZr-1) -1.15 eV/atom
S2Zr2 (2SZr-2) -1.03 eV/atom
S2Zr2 (2SZr-3) -0.96 eV/atom
S2Zr2 (2SZr-4) -0.93 eV/atom
S2Zr2 (2SZr-5) -0.91 eV/atom
Zr2S10 (2ZrS5-1) -0.70 eV/atom
S2 (2S-1) 0.45 eV/atom
S2 (2S-2) 0.62 eV/atom
Bulk crystals from OQMD123
S2Zr -1.58 eV/atom
SZr -1.41 eV/atom
S6Zr2 -1.25 eV/atom
S4Zr6 -1.22 eV/atom
S48 0.00 eV/atom
Zr2 0.00 eV/atom

AB2/1ZrS2/1/phonon_bs.png
Minimum eigenvalue of Hessian [eV/Ų] -0.00

DVB [eV] xx yy xy
Γ -3.26 -3.24 0.01
M -1.23 -5.22 3.46
K 0.93 0.92 0.02
kVBM -3.26 -3.24 0.01
xx yy xy
Band gap [eV] 5.40 6.15 -0.74
DCB [eV] xx yy xy
Γ -2.51 -2.56 0.05
M 2.14 2.91 -0.73
K -6.20 -6.19 0.02
kCBM 2.14 2.91 -0.73

Cij (N/m) xx yy xy
xx 75.66 12.34 -0.27
yy 12.36 75.57 -0.25
xy 0.00 0.00 61.84
Stiffness tensor eigenvalues
Eigenvalue 0 61.84 N/m
Eigenvalue 1 63.27 N/m
Eigenvalue 2 87.97 N/m

Key values [eV]
Band gap (PBE) 1.159
Direct band gap (PBE) 1.643
Valence band maximum wrt. vacuum (PBE) -6.426
Conduction band minimum wrt. vacuum (PBE) -5.266
DOS BZ

Key values [eV]
Band gap (HSE06) 2.167
Direct band gap (HSE06) 2.853
Valence band maximum wrt. vacuum (HSE06) -6.972
Conduction band minimum wrt. vacuum (HSE06) -4.805

Key values [eV]
Band gap (G₀W₀) 2.885
Direct band gap (G₀W₀) 3.577
Valence band maximum wrt. vacuum (G₀W₀) -7.501
Conduction band minimum wrt. vacuum (G₀W₀) -4.616

VBM
Property (VBM) Value
Min eff. mass 0.34 m0
Max eff. mass 0.34 m0
DOS eff. mass 0.34 m0
Crystal coordinates [0.000, -0.000]
Warping parameter -0.000
Barrier height > 152.1 meV
Distance to barrier > 0.0196 Å-1
CBM
Property (CBM) Value
Min eff. mass 0.28 m0
Max eff. mass 2.01 m0
DOS eff. mass 0.76 m0
Crystal coordinates [0.500, 0.000]
Warping parameter 0.004
Barrier height > 27.3 meV
Distance to barrier > 0.0196 Å-1

ZZrij ux uy uz
Px 6.92 -0.00 0.01
Py 0.00 6.92 -0.01
Pz -0.00 0.00 0.56
ZSij ux uy uz
Px -3.46 0.00 -0.00
Py -0.00 -3.46 0.00
Pz 0.00 0.00 -0.28
ZSij ux uy uz
Px -3.46 0.00 -0.00
Py -0.00 -3.46 0.00
Pz 0.00 0.00 -0.28

Atom No. Chemical symbol Charges [|e|]
0 Zr 2.08
1 S -1.04
2 S -1.04

AB2/1ZrS2/1/rpa-pol-x.png AB2/1ZrS2/1/rpa-pol-z.png
AB2/1ZrS2/1/rpa-pol-y.png
Properties
Interband polarizability (x) [Å] 4.207
Interband polarizability (y) [Å] 4.207
Interband polarizability (z) [Å] 0.345
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000

AB2/1ZrS2/1/ir-pol-x.png AB2/1ZrS2/1/ir-pol-z.png
AB2/1ZrS2/1/ir-pol-y.png
Static polarizability [Å]
Phonons only (x) 19.21
Phonons only (y) 18.02
Phonons only (z) 0.03
Total (phonons + electrons) (x) 23.42
Total (phonons + electrons) (y) 22.23
Total (phonons + electrons) (z) 0.37

AB2/1ZrS2/1/absx.png
Exciton binding energy (BSE) [eV] 0.63
AB2/1ZrS2/1/absz.png

AB2/1ZrS2/1/Raman.png
Mode Frequency (1/cm) Degeneracy
Mode 1 0. 3
Mode 2 153.2 2
Mode 3 250.9 2
Mode 4 312.9 1
Mode 5 338.5 1

Miscellaneous details
Unique ID 1ZrS2-1
Number of atoms 3
Number of species 2
Formula ZrS2
Reduced formula ZrS2
Stoichiometry AB2
Unit cell area [Å2] 11.743
Original file-system folder /home/niflheim2/cmr/C2DB-ASR/tree/AB2/ZrS2/ZrS2-8913f4e54692
Old uid ZrS2-8913f4e54692
Space group (bulk in AA-stacking) P-3m1
Space group number (bulk in AA-stacking) 164
Point group -3m
Inversion symmetry Yes
Layer group number 72
Layer group p-3m1
2D Bravais type Hexagonal (hp)
Thickness [Å] 2.892
Structure origin original03-18
Band gap (PBE) [eV] 1.159
Direct band gap (PBE) [eV] 1.643
gap_dir_nosoc 1.690
Vacuum level [eV] 3.700
Fermi level wrt. vacuum (PBE) [eV] -5.846
Valence band maximum wrt. vacuum (PBE) [eV] -6.426
Conduction band minimum wrt. vacuum (PBE) [eV] -5.266
minhessianeig -0.000
Dynamically stable Yes
Band gap (HSE06) [eV] 2.167
Direct band gap (HSE06) [eV] 2.853
Miscellaneous details
Fermi level wrt. vacuum (HSE) [eV] -5.982
Valence band maximum wrt. vacuum (HSE06) [eV] -6.972
Conduction band minimum wrt. vacuum (HSE06) [eV] -4.805
Band gap (G₀W₀) [eV] 2.885
Direct band gap (G₀W₀) [eV] 3.577
Fermi level wrt. vacuum (G₀W₀) [eV] -6.058
Valence band maximum wrt. vacuum (G₀W₀) [eV] -7.501
Conduction band minimum wrt. vacuum (G₀W₀) [eV] -4.616
E_B 0.633
Interband polarizability (x) [Å] 4.207
Interband polarizability (y) [Å] 4.207
Interband polarizability (z) [Å] 0.345
Static polarizability (phonons) (x) [Å] 19.209
Static polarizability (phonons + electrons) (x) [Å] 23.416
Static polarizability (phonons) (y) [Å] 18.021
Static polarizability (phonons + electrons) (y) [Å] 22.227
Static polarizability (phonons) (z) [Å] 0.025
Static polarizability (phonons + electrons) (z) [Å] 0.370
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000
Energy [eV] -20.316
COD id of parent bulk structure COD 5910006
Mono/few-layer report(s) 10.1021/jacs.5b03807
Magnetic No
Spin axis z
Magnetic anisotropy energy, xz [meV/unit cell] 0.000
Magnetic anisotropy energy, yz [meV/unit cell] 0.000
Energy above convex hull [eV/atom] 0.000
Heat of formation [eV/atom] -1.585
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