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Structure info
Layer group p-4m2
Layer group number 59
Structure origin original03-18
Stability
Energy above convex hull [eV/atom] 0.310
Heat of formation [eV/atom] -1.276
Dynamically stable Yes
Basic properties
Magnetic No
Band gap (PBE) [eV] 1.928
Band gap (HSE06) [eV] 3.101
XYZ CIF JSON
Axis x [Å] y [Å] z [Å] Periodic
1 3.915 0.000 0.000 Yes
2 -0.000 3.915 0.000 Yes
3 -0.000 0.000 18.960 No
Lengths [Å] 3.915 3.915 18.960
Angles [°] 90.000 90.000 90.000

Symmetries
2D Bravais type Square (tp)
Layer group number 59
Layer group p-4m2
Space group number (bulk in AA-stacking) 115
Space group (bulk in AA-stacking) P-4m2
Point group -42m
Inversion symmetry No
Structure data
Formula ZrS2
Stoichiometry AB2
Number of atoms 3
Unit cell area [Å2] 15.326
Thickness [Å] 2.853

ZrS2 (1ZrS2-3)
Heat of formation [eV/atom] -1.28
Energy above convex hull [eV/atom] 0.31
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

AB2/1ZrS2/3/phonon_bs.png
Minimum eigenvalue of Hessian [eV/Ų] -0.00

DVB [eV] xx yy xy
Γ -1.23 -1.23 0.00
M 2.48 2.48 0.00
X -4.04 1.23 0.00
kVBM -1.23 -1.23 0.00
xx yy xy
Band gap [eV] 1.11 1.11 -0.87
DCB [eV] xx yy xy
Γ 2.51 2.51 0.00
M -1.24 -1.24 0.00
X 0.15 -9.26 0.00
kCBM -0.12 -0.12 -0.87

Cij (N/m) xx yy xy
xx 31.25 2.20 -0.00
yy 2.20 31.25 -0.00
xy 0.00 0.00 4.98
Stiffness tensor eigenvalues
Eigenvalue 0 4.98 N/m
Eigenvalue 1 29.05 N/m
Eigenvalue 2 33.45 N/m

cij [e/Å] xx yy xy
x -0.00 0.00 0.00
y 0.00 0.00 0.00
z 0.00 -0.00 -0.00
cijclamped [e/Å] xx yy xy
x 0.00 0.00 0.00
y 0.00 0.00 0.00
z 0.04 -0.04 -0.00

Key values [eV]
Band gap (PBE) 1.928
Direct band gap (PBE) 2.545
Valence band maximum wrt. vacuum (PBE) -6.687
Conduction band minimum wrt. vacuum (PBE) -4.759
DOS BZ

Key values [eV]
Band gap (HSE06) 3.101
Direct band gap (HSE06) 3.745
Valence band maximum wrt. vacuum (HSE06) -7.326
Conduction band minimum wrt. vacuum (HSE06) -4.225

VBM
Property (VBM) Value
Min eff. mass 1.36 m0
Max eff. mass 3.42 m0
DOS eff. mass 2.07 m0
Crystal coordinates [0.001, 0.001]
Warping parameter -0.105
Barrier height > 33.1 meV
Distance to barrier > 0.0213 Å-1
CBM
Property (CBM) Value
Min eff. mass 0.50 m0
Max eff. mass 1.05 m0
DOS eff. mass 0.72 m0
Crystal coordinates [0.373, 0.373]
Warping parameter 0.010
Barrier height > 58.0 meV
Distance to barrier > 0.0213 Å-1

ZZrij ux uy uz
Px 4.73 -0.00 -0.00
Py -0.00 4.73 -0.00
Pz 0.00 0.00 0.53
ZSij ux uy uz
Px -4.16 0.00 0.00
Py 0.00 -0.57 0.00
Pz -0.00 0.00 -0.26
ZSij ux uy uz
Px -0.57 -0.00 0.00
Py -0.00 -4.16 0.00
Pz -0.00 0.00 -0.26

Atom No. Chemical symbol Charges [|e|]
0 Zr 2.00
1 S -1.00
2 S -1.00

AB2/1ZrS2/3/rpa-pol-x.png AB2/1ZrS2/3/rpa-pol-z.png
AB2/1ZrS2/3/rpa-pol-y.png
Properties
Interband polarizability (x) [Å] 2.193
Interband polarizability (y) [Å] 2.192
Interband polarizability (z) [Å] 0.315
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000

AB2/1ZrS2/3/ir-pol-x.png AB2/1ZrS2/3/ir-pol-z.png
AB2/1ZrS2/3/ir-pol-y.png
Static polarizability [Å]
Phonons only (x) 1.98
Phonons only (y) 1.98
Phonons only (z) 0.01
Total (phonons + electrons) (x) 4.17
Total (phonons + electrons) (y) 4.17
Total (phonons + electrons) (z) 0.33

AB2/1ZrS2/3/shg1.png AB2/1ZrS2/3/shg3.png
AB2/1ZrS2/3/shg2.png
Element Relations
xxz xxz=xzx=-yyz=-yzy
Others 0=xxx=yyy=xxy=xyy=xyz=xzy=xzz=yxx=yxy=yxz=yyx=xyx= yzx=yzz=zxy=zxz=zyx=zyz=zzx=zzy=zzz
zxx zxx=-zyy

Shift-current
Element Relations
xxz xxz=xzx=-yyz=-yzy
Others 0=xxx=yyy=xyx=xyy=xyz=xzy=xzz=yxx=yxy=yxz=yyx=xxy= yzx=yzz=zxy=zxz=zyx=zyz=zzx=zzy=zzz
zxx zxx=-zyy
Shift-current

Miscellaneous details
Unique ID 1ZrS2-3
Number of atoms 3
Number of species 2
Formula ZrS2
Reduced formula ZrS2
Stoichiometry AB2
Unit cell area [Å2] 15.326
Original file-system folder /home/niflheim2/cmr/C2DB-ASR/tree/AB2/ZrS2/ZrS2-2e44a755e594
Old uid ZrS2-2e44a755e594
Space group (bulk in AA-stacking) P-4m2
Space group number (bulk in AA-stacking) 115
Point group -42m
Inversion symmetry No
Layer group number 59
Layer group p-4m2
2D Bravais type Square (tp)
Thickness [Å] 2.853
Structure origin original03-18
Band gap (PBE) [eV] 1.928
Direct band gap (PBE) [eV] 2.545
gap_dir_nosoc 2.573
Vacuum level [eV] 2.702
Fermi level wrt. vacuum (PBE) [eV] -5.723
Valence band maximum wrt. vacuum (PBE) [eV] -6.687
Conduction band minimum wrt. vacuum (PBE) [eV] -4.759
Miscellaneous details
minhessianeig -0.000
Dynamically stable Yes
Band gap (HSE06) [eV] 3.101
Direct band gap (HSE06) [eV] 3.745
Fermi level wrt. vacuum (HSE) [eV] -6.256
Valence band maximum wrt. vacuum (HSE06) [eV] -7.326
Conduction band minimum wrt. vacuum (HSE06) [eV] -4.225
Interband polarizability (x) [Å] 2.193
Interband polarizability (y) [Å] 2.192
Interband polarizability (z) [Å] 0.315
Static polarizability (phonons) (x) [Å] 1.980
Static polarizability (phonons + electrons) (x) [Å] 4.173
Static polarizability (phonons) (y) [Å] 1.980
Static polarizability (phonons + electrons) (y) [Å] 4.172
Static polarizability (phonons) (z) [Å] 0.013
Static polarizability (phonons + electrons) (z) [Å] 0.328
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000
Energy [eV] -19.387
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] 0.310
Heat of formation [eV/atom] -1.276
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