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Structure info
Layer group p-6m2
Layer group number 78
Structure origin original03-18
Stability
Energy above convex hull [eV/atom] 0.190
Heat of formation [eV/atom] -1.396
Dynamically stable No
Basic properties
Magnetic No
Band gap (PBE) [eV] 0.965
Band gap (HSE06) [eV] 2.023
Band gap (G₀W₀) [eV] 2.748
XYZ CIF JSON
Axis x [Å] y [Å] z [Å] Periodic
1 3.571 0.000 0.000 Yes
2 -1.786 3.093 0.000 Yes
3 0.000 -0.000 18.140 No
Lengths [Å] 3.571 3.571 18.140
Angles [°] 90.000 90.000 120.000

Symmetries
2D Bravais type Hexagonal (hp)
Layer group number 78
Layer group p-6m2
Space group number (bulk in AA-stacking) 187
Space group (bulk in AA-stacking) P-6m2
Point group -6m2
Inversion symmetry No
Structure data
Formula ZrS2
Stoichiometry AB2
Number of atoms 3
Unit cell area [Å2] 11.046
Thickness [Å] 3.140

ZrS2 (1ZrS2-2)
Heat of formation [eV/atom] -1.40
Energy above convex hull [eV/atom] 0.19
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

AB2/1ZrS2/2/phonon_bs.png
Minimum eigenvalue of Hessian [eV/Ų] -0.80

Cij (N/m) xx yy xy
xx 84.59 31.41 0.02
yy 31.42 84.43 0.01
xy 0.00 0.00 52.77
Stiffness tensor eigenvalues
Eigenvalue 0 52.77 N/m
Eigenvalue 1 53.09 N/m
Eigenvalue 2 115.93 N/m

Key values [eV]
Band gap (PBE) 0.965
Direct band gap (PBE) 1.145
Valence band maximum wrt. vacuum (PBE) -6.849
Conduction band minimum wrt. vacuum (PBE) -5.884
DOS BZ

Key values [eV]
Band gap (HSE06) 2.023
Direct band gap (HSE06) 2.297
Valence band maximum wrt. vacuum (HSE06) -7.475
Conduction band minimum wrt. vacuum (HSE06) -5.452

Key values [eV]
Band gap (G₀W₀) 2.748
Direct band gap (G₀W₀) 2.994
Valence band maximum wrt. vacuum (G₀W₀) -8.039
Conduction band minimum wrt. vacuum (G₀W₀) -5.290

VBM
Property (VBM) Value
Min eff. mass 0.83 m0
Max eff. mass 2.16 m0
DOS eff. mass 1.34 m0
Crystal coordinates [0.118, 0.118]
Warping parameter -0.000
Barrier height > 27.3 meV
Distance to barrier > 0.0202 Å-1
CBM
Property (CBM) Value
Min eff. mass 0.95 m0
Max eff. mass 2.86 m0
DOS eff. mass 1.65 m0
Crystal coordinates [0.365, 0.029]
Warping parameter 0.000
Barrier height 2.9 meV
Distance to barrier 0.00736 Å-1

Atom No. Chemical symbol Charges [|e|]
0 Zr 1.97
1 S -0.98
2 S -0.99

AB2/1ZrS2/2/rpa-pol-x.png AB2/1ZrS2/2/rpa-pol-z.png
AB2/1ZrS2/2/rpa-pol-y.png
Properties
Interband polarizability (x) [Å] 3.527
Interband polarizability (y) [Å] 3.527
Interband polarizability (z) [Å] 0.371
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000

AB2/1ZrS2/2/absx.png
Exciton binding energy (BSE) [eV] 1.18
AB2/1ZrS2/2/absz.png

AB2/1ZrS2/2/shg1.png
Element Relations
yyy yyy=-xxy=-yxx=-xyx
Others 0=xxx=xxz=xyy=xyz=xzx=xzy=xzz=yxy=yxz=yyx=yyz=yzx= yzy=yzz=zxx=zxy=zxz=zyx=zyy=zyz=zzx=zzy=zzz
AB2/1ZrS2/2/shg2.png

Miscellaneous details
Unique ID 1ZrS2-2
Number of atoms 3
Number of species 2
Formula ZrS2
Reduced formula ZrS2
Stoichiometry AB2
Unit cell area [Å2] 11.046
Original file-system folder /home/niflheim2/cmr/C2DB-ASR/tree/AB2/ZrS2/ZrS2-1a039e022308
Old uid ZrS2-1a039e022308
Space group (bulk in AA-stacking) P-6m2
Space group number (bulk in AA-stacking) 187
Point group -6m2
Inversion symmetry No
Layer group number 78
Layer group p-6m2
2D Bravais type Hexagonal (hp)
Thickness [Å] 3.140
Structure origin original03-18
Band gap (PBE) [eV] 0.965
Direct band gap (PBE) [eV] 1.145
gap_dir_nosoc 1.175
Vacuum level [eV] 3.951
Fermi level wrt. vacuum (PBE) [eV] -6.366
Valence band maximum wrt. vacuum (PBE) [eV] -6.849
Conduction band minimum wrt. vacuum (PBE) [eV] -5.884
Miscellaneous details
minhessianeig -0.805
Dynamically stable No
Band gap (HSE06) [eV] 2.023
Direct band gap (HSE06) [eV] 2.297
Fermi level wrt. vacuum (HSE) [eV] -6.467
Valence band maximum wrt. vacuum (HSE06) [eV] -7.475
Conduction band minimum wrt. vacuum (HSE06) [eV] -5.452
Band gap (G₀W₀) [eV] 2.748
Direct band gap (G₀W₀) [eV] 2.994
Fermi level wrt. vacuum (G₀W₀) [eV] -6.664
Valence band maximum wrt. vacuum (G₀W₀) [eV] -8.039
Conduction band minimum wrt. vacuum (G₀W₀) [eV] -5.290
E_B 1.184
Interband polarizability (x) [Å] 3.527
Interband polarizability (y) [Å] 3.527
Interband polarizability (z) [Å] 0.371
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000
Energy [eV] -19.746
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] 0.190
Heat of formation [eV/atom] -1.396
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