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Structure info
Layer group p-3m1
Layer group number 72
Structure origin original03-18
Stability
Energy above convex hull [eV/atom] 0.260
Heat of formation [eV/atom] -1.154
Dynamically stable Yes
Basic properties
Magnetic No
Topology Z2=1
Band gap (PBE) [eV] 0.132
Band gap (HSE06) [eV] 0.067
XYZ CIF JSON
Axis x [Å] y [Å] z [Å] Periodic
1 4.195 0.000 0.000 Yes
2 -2.098 3.634 0.000 Yes
3 -0.000 0.000 18.856 No
Lengths [Å] 4.195 4.196 18.856
Angles [°] 90.000 90.000 119.993

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 Zr2S2
Stoichiometry AB
Number of atoms 4
Unit cell area [Å2] 15.247
Thickness [Å] 3.328

S2Zr2 (2SZr-1)
Heat of formation [eV/atom] -1.15
Energy above convex hull [eV/atom] 0.26
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

AB/2SZr/1/phonon_bs.png
Minimum eigenvalue of Hessian [eV/Ų] -0.00

DVB [eV] xx yy xy
Γ 2.98 3.12 -0.00
X -1.83 -1.77 -0.00
A1 -1.83 -1.77 0.00
Y 1.42 -0.71 1.98
kVBM 2.35 4.15 -0.69
xx yy xy
Band gap [eV] 2.34 -2.53 0.69
DCB [eV] xx yy xy
Γ -1.01 -0.97 0.00
X 0.46 0.50 0.00
A1 0.46 0.50 0.00
Y -1.97 -0.13 -1.61
kCBM 4.69 1.62 0.00

Cij (N/m) xx yy xy
xx 78.10 62.19 -0.01
yy 62.35 78.49 0.00
xy 0.00 -0.01 17.73
Stiffness tensor eigenvalues
Eigenvalue 0 16.02 N/m
Eigenvalue 1 17.73 N/m
Eigenvalue 2 140.57 N/m

Key values [eV]
Band gap (PBE) 0.132
Direct band gap (PBE) 0.136
Valence band maximum wrt. vacuum (PBE) -3.609
Conduction band minimum wrt. vacuum (PBE) -3.477
DOS BZ

Key values [eV]
Band gap (HSE06) 0.067
Direct band gap (HSE06) 0.067
Valence band maximum wrt. vacuum (HSE06) -3.403
Conduction band minimum wrt. vacuum (HSE06) -3.336

VBM
Property (VBM) Value
Min eff. mass 0.01 m0
Max eff. mass 0.03 m0
DOS eff. mass 0.01 m0
Crystal coordinates [0.200, 0.200]
Warping parameter -0.000
Barrier height > 152.0 meV
Distance to barrier > 0.0172 Å-1
CBM
Property (CBM) Value
Min eff. mass 0.01 m0
Max eff. mass 0.03 m0
DOS eff. mass 0.02 m0
Crystal coordinates [0.401, -0.201]
Warping parameter 0.000
Barrier height > 79.1 meV
Distance to barrier > 0.0178 Å-1

Atom No. Chemical symbol Charges [|e|]
0 S -1.32
1 S -1.32
2 Zr 1.32
3 Zr 1.32

AB/2SZr/1/berry-phases0.png

AB/2SZr/1/rpa-pol-x.png AB/2SZr/1/rpa-pol-z.png
AB/2SZr/1/rpa-pol-y.png
Properties
Interband polarizability (x) [Å] 80.344
Interband polarizability (y) [Å] 80.162
Interband polarizability (z) [Å] 0.398
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000

AB/2SZr/1/ir-pol-x.png AB/2SZr/1/ir-pol-z.png
AB/2SZr/1/ir-pol-y.png
Static polarizability [Å]
Phonons only (x) 6306.41
Phonons only (y) 3028.12
Phonons only (z) 0.03
Total (phonons + electrons) (x) 6386.76
Total (phonons + electrons) (y) 3108.29
Total (phonons + electrons) (z) 0.43

AB/2SZr/1/Raman.png
Mode Frequency (1/cm) Degeneracy
Mode 1 0. 3
Mode 2 94.6 2
Mode 3 229.7 1
Mode 4 276.1 1
Mode 5 284.2 1
Mode 6 314. 2
Mode 7 353.2 2

Miscellaneous details
Unique ID 2SZr-1
Number of atoms 4
Number of species 2
Formula Zr2S2
Reduced formula ZrS
Stoichiometry AB
Unit cell area [Å2] 15.247
Original file-system folder /home/niflheim2/cmr/C2DB-ASR/tree/AB/SZr/S2Zr2-8e309f5eccc0
Old uid S2Zr2-8e309f5eccc0
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] 3.328
Structure origin original03-18
Band gap (PBE) [eV] 0.132
Direct band gap (PBE) [eV] 0.136
gap_dir_nosoc 0.135
Vacuum level [eV] 3.578
Fermi level wrt. vacuum (PBE) [eV] -3.543
Valence band maximum wrt. vacuum (PBE) [eV] -3.609
Conduction band minimum wrt. vacuum (PBE) [eV] -3.477
minhessianeig -0.000
Miscellaneous details
Dynamically stable Yes
Band gap (HSE06) [eV] 0.067
Direct band gap (HSE06) [eV] 0.067
Fermi level wrt. vacuum (HSE) [eV] -3.370
Valence band maximum wrt. vacuum (HSE06) [eV] -3.403
Conduction band minimum wrt. vacuum (HSE06) [eV] -3.336
Interband polarizability (x) [Å] 80.344
Interband polarizability (y) [Å] 80.162
Interband polarizability (z) [Å] 0.398
Static polarizability (phonons) (x) [Å] 6306.414
Static polarizability (phonons + electrons) (x) [Å] 6386.758
Static polarizability (phonons) (y) [Å] 3028.124
Static polarizability (phonons + electrons) (y) [Å] 3108.286
Static polarizability (phonons) (z) [Å] 0.028
Static polarizability (phonons + electrons) (z) [Å] 0.426
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000
Energy [eV] -27.578
Magnetic No
Spin axis z
Magnetic anisotropy energy, xz [meV/unit cell] 0.000
Magnetic anisotropy energy, yz [meV/unit cell] 0.000
Topology Z2=1
Energy above convex hull [eV/atom] 0.260
Heat of formation [eV/atom] -1.154
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