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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] 0.028
Heat of formation [eV/atom] -1.979
Dynamically stable Yes
Basic properties
Magnetic No
Band gap (PBE) [eV] 0.912
Band gap (HSE06) [eV] 1.651
Band gap (G₀W₀) [eV] 2.317
XYZ CIF JSON
Axis x [Å] y [Å] z [Å] Periodic
1 2.820 0.000 0.000 Yes
2 -1.410 2.443 0.000 Yes
3 0.000 -0.000 17.450 No
Lengths [Å] 2.820 2.820 17.450
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 MoO2
Stoichiometry AB2
Number of atoms 3
Unit cell area [Å2] 6.889
Thickness [Å] 2.450

MoO2 (1MoO2-1)
Heat of formation [eV/atom] -1.98
Energy above convex hull [eV/atom] 0.03
Monolayers from C2DB
Mo2O6 (2MoO3-1) -2.00 eV/atom
Mo2O6 (2MoO3-2) -1.99 eV/atom
MoO2, (1MoO2-1) -1.98 eV/atom
Mo2O4 (2MoO2-1) -1.82 eV/atom
Mo2O5 (1Mo2O5-1) -1.75 eV/atom
MoO2 (1MoO2-2) -1.67 eV/atom
MoO2 (1MoO2-3) -1.47 eV/atom
Mo2O2 (2MoO-1) -1.08 eV/atom
Mo2O2 (2MoO-2) -0.79 eV/atom
Mo2O2 (2MoO-3) -0.53 eV/atom
Bulk crystals from OQMD123
Mo4O8 -2.01 eV/atom
Mo8O24 -2.00 eV/atom
Mo 0.00 eV/atom
O8 0.00 eV/atom

materials/AB2/1MoO2/1/phonon_bs.png
Minimum eigenvalue of Hessian [eV/Ų] -0.00

DVB [eV] xx yy xy
Γ 4.42 4.42 -0.01
M -0.95 3.36 -3.70
K 0.14 0.15 -0.02
kVBM 4.42 4.42 -0.01
xx yy xy
Band gap [eV] -11.15 -11.14 -0.01
DCB [eV] xx yy xy
Γ 0.86 0.94 -0.02
M -8.88 -7.88 -0.89
K -6.74 -6.72 -0.02
kCBM -6.74 -6.72 -0.02

Cij (N/m) xx yy xy
xx 234.09 84.54 -0.01
yy 84.49 234.00 -0.01
xy 0.00 0.00 149.57
Stiffness tensor eigenvalues
Eigenvalue 0 149.53 N/m
Eigenvalue 1 149.57 N/m
Eigenvalue 2 318.56 N/m

cij [e/Å] xx yy xy
x 0.00 0.00 -0.18
y -0.18 0.18 -0.00
z -0.00 0.00 -0.00
cijclamped [e/Å] xx yy xy
x 0.00 0.00 -0.24
y -0.24 0.24 0.00
z 0.00 0.00 0.00

Key values [eV]
Band gap (PBE) 0.912
Direct band gap (PBE) 1.691
Valence band maximum wrt. vacuum (PBE) -6.669
Conduction band minimum wrt. vacuum (PBE) -5.757
DOS BZ

Key values [eV]
Band gap (HSE06) 1.651
Direct band gap (HSE06) 2.428
Valence band maximum wrt. vacuum (HSE06) -6.984
Conduction band minimum wrt. vacuum (HSE06) -5.333

Key values [eV]
Band gap (G₀W₀) 2.317
Direct band gap (G₀W₀) 2.834
Valence band maximum wrt. vacuum (G₀W₀) -6.913
Conduction band minimum wrt. vacuum (G₀W₀) -4.597

VBM
Property (VBM) Value
Min eff. mass 0.76 m0
Max eff. mass 0.76 m0
DOS eff. mass 0.76 m0
Crystal coordinates [0.000, 0.000]
Warping parameter -0.000
Barrier height > 128.5 meV
Distance to barrier > 0.0256 Å-1
CBM
Property (CBM) Value
Min eff. mass 0.42 m0
Max eff. mass 0.42 m0
DOS eff. mass 0.42 m0
Crystal coordinates [0.333, 0.333]
Warping parameter 0.000
Barrier height > 188.9 meV
Distance to barrier > 0.0256 Å-1

ZMoij ux uy uz
Px 2.92 -0.00 0.00
Py -0.00 2.92 0.00
Pz -0.00 -0.00 0.43
ZOij ux uy uz
Px -1.46 0.00 0.00
Py 0.00 -1.46 -0.00
Pz -0.00 -0.00 -0.22
ZOij ux uy uz
Px -1.46 0.00 -0.00
Py 0.00 -1.46 0.00
Pz 0.00 0.00 -0.22

Atom No. Chemical symbol Charges [|e|]
0 Mo 1.88
1 O -0.94
2 O -0.94

materials/AB2/1MoO2/1/rpa-pol-x.png materials/AB2/1MoO2/1/rpa-pol-z.png
materials/AB2/1MoO2/1/rpa-pol-y.png
Properties
Interband polarizability (x) [Å] 4.012
Interband polarizability (y) [Å] 4.012
Interband polarizability (z) [Å] 0.247
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000

materials/AB2/1MoO2/1/ir-pol-x.png materials/AB2/1MoO2/1/ir-pol-z.png
materials/AB2/1MoO2/1/ir-pol-y.png
Static polarizability [Å]
Phonons only (x) 0.79
Phonons only (y) 0.79
Phonons only (z) 0.01
Total (phonons + electrons) (x) 4.80
Total (phonons + electrons) (y) 4.81
Total (phonons + electrons) (z) 0.26

materials/AB2/1MoO2/1/absx.png
Exciton binding energy (BSE) [eV] 0.79
materials/AB2/1MoO2/1/absz.png

materials/AB2/1MoO2/1/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
materials/AB2/1MoO2/1/shg2.png

Shift-current
Element Relations
yyy yyy=-xyx=-yxx=-xxy
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

materials/AB2/1MoO2/1/Raman.png
Mode Frequency (1/cm) Degeneracy
Mode 1 0. 3
Mode 2 479.6 2
Mode 3 537.6 2
Mode 4 715.1 1
Mode 5 741. 1

Miscellaneous details
Unique ID 1MoO2-1
Number of atoms 3
Number of species 2
Formula MoO2
Reduced formula MoO2
Stoichiometry AB2
Unit cell area [Å2] 6.889
Original file-system folder /home/niflheim2/cmr/C2DB-ASR/tree/AB2/MoO2/MoO2-152bd69757aa
Old uid MoO2-152bd69757aa
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] 2.450
Structure origin original03-18
Band gap (PBE) [eV] 0.912
Direct band gap (PBE) [eV] 1.691
gap_dir_nosoc 1.746
Vacuum level [eV] 4.128
Fermi level wrt. vacuum (PBE) [eV] -6.213
Valence band maximum wrt. vacuum (PBE) [eV] -6.669
Conduction band minimum wrt. vacuum (PBE) [eV] -5.757
minhessianeig -0.000
Dynamically stable Yes
Band gap (HSE06) [eV] 1.651
Miscellaneous details
Direct band gap (HSE06) [eV] 2.428
Fermi level wrt. vacuum (HSE) [eV] -6.163
Valence band maximum wrt. vacuum (HSE06) [eV] -6.984
Conduction band minimum wrt. vacuum (HSE06) [eV] -5.333
Band gap (G₀W₀) [eV] 2.317
Direct band gap (G₀W₀) [eV] 2.834
Fermi level wrt. vacuum (G₀W₀) [eV] -5.755
Valence band maximum wrt. vacuum (G₀W₀) [eV] -6.913
Conduction band minimum wrt. vacuum (G₀W₀) [eV] -4.597
E_B 0.788
Interband polarizability (x) [Å] 4.012
Interband polarizability (y) [Å] 4.012
Interband polarizability (z) [Å] 0.247
Static polarizability (phonons) (x) [Å] 0.787
Static polarizability (phonons + electrons) (x) [Å] 4.799
Static polarizability (phonons) (y) [Å] 0.795
Static polarizability (phonons + electrons) (y) [Å] 4.807
Static polarizability (phonons) (z) [Å] 0.009
Static polarizability (phonons + electrons) (z) [Å] 0.256
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000
Energy [eV] -27.388
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] 0.028
Heat of formation [eV/atom] -1.979
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