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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] 0.766
Heat of formation [eV/atom] -2.749
Dynamically stable No
Basic properties
Magnetic No
Band gap (PBE) [eV] 1.690
Band gap (HSE06) [eV] 3.561
Band gap (G₀W₀) [eV] 4.435
XYZ CIF JSON
Axis x [Å] y [Å] z [Å] Periodic
1 3.137 0.000 0.000 Yes
2 -1.568 2.717 0.000 Yes
3 0.000 -0.000 17.325 No
Lengths [Å] 3.137 3.137 17.325
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 ZrO2
Stoichiometry AB2
Number of atoms 3
Unit cell area [Å2] 8.522
Thickness [Å] 2.325

ZrO2 (1ZrO2-3)
Heat of formation [eV/atom] -2.75
Energy above convex hull [eV/atom] 0.77
Monolayers from C2DB
ZrO2 (1ZrO2-1) -3.30 eV/atom
Zr4O8 (4ZrO2-1) -3.14 eV/atom
ZrO2 (1ZrO2-2) -3.05 eV/atom
ZrO2, (1ZrO2-3) -2.75 eV/atom
Zr2O6 (2ZrO3-1) -2.48 eV/atom
O2Zr2 (2OZr-1) -2.23 eV/atom
O2Zr2 (2OZr-2) -2.05 eV/atom
O2Zr2 (2OZr-3) -1.95 eV/atom
O2Zr2 (2OZr-4) -1.81 eV/atom
OZr (1OZr-1) -1.69 eV/atom
Bulk crystals from OQMD123
O8Zr4 -3.52 eV/atom
O2Zr6 -1.43 eV/atom
O8 0.00 eV/atom
Zr2 0.00 eV/atom

AB2/1ZrO2/3/phonon_bs.png
Minimum eigenvalue of Hessian [eV/Ų] -5.88

Cij (N/m) xx yy xy
xx 156.96 78.04 -0.00
yy 77.96 156.84 0.00
xy 0.00 0.00 79.19
Stiffness tensor eigenvalues
Eigenvalue 0 78.90 N/m
Eigenvalue 1 79.19 N/m
Eigenvalue 2 234.90 N/m

Key values [eV]
Band gap (PBE) 1.690
Direct band gap (PBE) 1.811
Valence band maximum wrt. vacuum (PBE) -8.101
Conduction band minimum wrt. vacuum (PBE) -6.411
DOS BZ

Key values [eV]
Band gap (HSE06) 3.561
Direct band gap (HSE06) 3.684
Valence band maximum wrt. vacuum (HSE06) -9.371
Conduction band minimum wrt. vacuum (HSE06) -5.810

Key values [eV]
Band gap (G₀W₀) 4.435
Direct band gap (G₀W₀) 4.517
Valence band maximum wrt. vacuum (G₀W₀) -9.560
Conduction band minimum wrt. vacuum (G₀W₀) -5.125

VBM
Property (VBM) Value
Min eff. mass 3.97 m0
Max eff. mass 4.20 m0
DOS eff. mass 4.09 m0
Crystal coordinates [0.158, 0.158]
Warping parameter -0.001
Barrier height > 15.5 meV
Distance to barrier > 0.023 Å-1
CBM
Property (CBM) Value
Min eff. mass 0.96 m0
Max eff. mass 2.30 m0
DOS eff. mass 1.48 m0
Crystal coordinates [0.267, 0.267]
Warping parameter 0.000
Barrier height > 17.5 meV
Distance to barrier > 0.023 Å-1

Atom No. Chemical symbol Charges [|e|]
0 Zr 2.38
1 O -1.19
2 O -1.20

AB2/1ZrO2/3/rpa-pol-x.png AB2/1ZrO2/3/rpa-pol-z.png
AB2/1ZrO2/3/rpa-pol-y.png
Properties
Interband polarizability (x) [Å] 1.649
Interband polarizability (y) [Å] 1.649
Interband polarizability (z) [Å] 0.242
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000

AB2/1ZrO2/3/absx.png
Exciton binding energy (BSE) [eV] 2.03
AB2/1ZrO2/3/absz.png

AB2/1ZrO2/3/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
AB2/1ZrO2/3/shg2.png

Miscellaneous details
Unique ID 1ZrO2-3
Number of atoms 3
Number of species 2
Formula ZrO2
Reduced formula ZrO2
Stoichiometry AB2
Unit cell area [Å2] 8.522
Original file-system folder /home/niflheim2/cmr/C2DB-ASR/tree/AB2/ZrO2/ZrO2-24a8929c68ce
Old uid ZrO2-24a8929c68ce
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] 2.325
Structure origin original03-18
Band gap (PBE) [eV] 1.690
Direct band gap (PBE) [eV] 1.811
gap_dir_nosoc 1.829
Vacuum level [eV] 3.629
Fermi level wrt. vacuum (PBE) [eV] -7.256
Valence band maximum wrt. vacuum (PBE) [eV] -8.101
Conduction band minimum wrt. vacuum (PBE) [eV] -6.411
Miscellaneous details
minhessianeig -5.879
Dynamically stable No
Band gap (HSE06) [eV] 3.561
Direct band gap (HSE06) [eV] 3.684
Fermi level wrt. vacuum (HSE) [eV] -7.590
Valence band maximum wrt. vacuum (HSE06) [eV] -9.371
Conduction band minimum wrt. vacuum (HSE06) [eV] -5.810
Band gap (G₀W₀) [eV] 4.435
Direct band gap (G₀W₀) [eV] 4.517
Fermi level wrt. vacuum (G₀W₀) [eV] -7.342
Valence band maximum wrt. vacuum (G₀W₀) [eV] -9.560
Conduction band minimum wrt. vacuum (G₀W₀) [eV] -5.125
E_B 2.028
Interband polarizability (x) [Å] 1.649
Interband polarizability (y) [Å] 1.649
Interband polarizability (z) [Å] 0.242
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000
Energy [eV] -25.898
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] 0.766
Heat of formation [eV/atom] -2.749