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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] 0.126
Heat of formation [eV/atom] -1.005
Dynamically stable Yes
Basic properties
Magnetic No
Band gap (PBE) [eV] 0.522
Band gap (HSE06) [eV] 1.460
Band gap (G₀W₀) [eV] 1.481
XYZ CIF JSON
Axis x [Å] y [Å] z [Å] Periodic
1 3.495 0.000 0.000 Yes
2 -1.748 3.027 0.000 Yes
3 0.000 0.000 18.240 No
Lengths [Å] 3.495 3.495 18.240
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 TiSe2
Stoichiometry AB2
Number of atoms 3
Unit cell area [Å2] 10.580
Thickness [Å] 3.240

TiSe2 (1TiSe2-2)
Heat of formation [eV/atom] -1.00
Energy above convex hull [eV/atom] 0.13
Monolayers from C2DB
Ti4Se8 (4TiSe2-1) -1.13 eV/atom
Ti2Se3 (1Ti2Se3-1) -1.12 eV/atom
TiSe2 (1TiSe2-1) -1.12 eV/atom
TiSe2, (1TiSe2-2) -1.00 eV/atom
Ti2Se2 (2SeTi-1) -0.87 eV/atom
TiSe2 (1TiSe2-3) -0.86 eV/atom
Ti2Se2 (2SeTi-2) -0.83 eV/atom
Ti2Se6 (2TiSe3-1) -0.83 eV/atom
Ti2Se2 (2SeTi-3) -0.78 eV/atom
Ti2Se2 (2SeTi-4) -0.56 eV/atom
Ti2Se2 (2SeTi-5) -0.55 eV/atom
Se2 (2Se-1) 0.21 eV/atom
Se2 (2Se-2) 0.29 eV/atom
Bulk crystals from OQMD123
Ti6Se8 -1.22 eV/atom
Ti2Se4 -1.12 eV/atom
Ti5Se4 -1.06 eV/atom
Ti24Se12 -0.83 eV/atom
Se3 0.00 eV/atom
Ti3 0.00 eV/atom

materials/AB2/1TiSe2/2/phonon_bs.png
Minimum eigenvalue of Hessian [eV/Ų] -0.00

DVB [eV] xx yy xy
Γ -4.94 -4.95 -0.00
M -1.59 -5.31 3.28
K 1.18 1.20 -0.00
kVBM -4.94 -4.95 -0.00
xx yy xy
Band gap [eV] 3.54 5.02 -1.36
DCB [eV] xx yy xy
Γ -0.29 -0.27 -0.00
M -1.50 0.25 -1.60
K -3.56 -3.58 -0.00
kCBM -1.41 0.07 -1.36

Cij (N/m) xx yy xy
xx 75.02 23.66 -0.00
yy 23.78 74.65 -0.00
xy 0.00 0.00 50.43
Stiffness tensor eigenvalues
Eigenvalue 0 50.43 N/m
Eigenvalue 1 51.11 N/m
Eigenvalue 2 98.55 N/m

cij [e/Å] xx yy xy
x -0.00 -0.00 -0.14
y -0.17 0.17 0.00
z -0.00 0.00 0.00
cijclamped [e/Å] xx yy xy
x -0.00 -0.00 -0.35
y -0.35 0.35 -0.00
z 0.00 -0.00 0.00

Key values [eV]
Band gap (PBE) 0.522
Direct band gap (PBE) 0.867
Valence band maximum wrt. vacuum (PBE) -6.093
Conduction band minimum wrt. vacuum (PBE) -5.571
DOS BZ

Key values [eV]
Band gap (HSE06) 1.460
Direct band gap (HSE06) 2.046
Valence band maximum wrt. vacuum (HSE06) -6.286
Conduction band minimum wrt. vacuum (HSE06) -4.826

Key values [eV]
Band gap (G₀W₀) 1.481
Direct band gap (G₀W₀) 2.174
Valence band maximum wrt. vacuum (G₀W₀) -6.416
Conduction band minimum wrt. vacuum (G₀W₀) -4.936

VBM
Property (VBM) Value
Min eff. mass 1.49 m0
Max eff. mass 1.56 m0
DOS eff. mass 1.53 m0
Crystal coordinates [0.000, 0.000]
Warping parameter -0.020
Barrier height > 15.0 meV
Distance to barrier > 0.0207 Å-1
CBM
Property (CBM) Value
Min eff. mass 0.45 m0
Max eff. mass 2.13 m0
DOS eff. mass 0.97 m0
Crystal coordinates [0.402, 0.006]
Warping parameter 0.005
Barrier height > 16.8 meV
Distance to barrier > 0.0209 Å-1

ZTiij ux uy uz
Px 4.38 -0.00 0.00
Py -0.00 4.38 0.00
Pz -0.00 -0.00 0.35
ZSeij ux uy uz
Px -2.19 0.00 0.00
Py 0.00 -2.19 -0.00
Pz -0.00 -0.00 -0.18
ZSeij ux uy uz
Px -2.19 0.00 -0.00
Py 0.00 -2.19 0.00
Pz 0.00 -0.00 -0.18

Atom No. Chemical symbol Charges [|e|]
0 Ti 1.55
1 Se -0.77
2 Se -0.78

materials/AB2/1TiSe2/2/rpa-pol-x.png materials/AB2/1TiSe2/2/rpa-pol-z.png
materials/AB2/1TiSe2/2/rpa-pol-y.png
Properties
Interband polarizability (x) [Å] 7.311
Interband polarizability (y) [Å] 7.311
Interband polarizability (z) [Å] 0.404
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000

materials/AB2/1TiSe2/2/ir-pol-x.png materials/AB2/1TiSe2/2/ir-pol-z.png
materials/AB2/1TiSe2/2/ir-pol-y.png
Static polarizability [Å]
Phonons only (x) 3.81
Phonons only (y) 3.81
Phonons only (z) 0.01
Total (phonons + electrons) (x) 11.12
Total (phonons + electrons) (y) 11.12
Total (phonons + electrons) (z) 0.42

materials/AB2/1TiSe2/2/absx.png
Exciton binding energy (BSE) [eV] 0.72
materials/AB2/1TiSe2/2/absz.png

materials/AB2/1TiSe2/2/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
materials/AB2/1TiSe2/2/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/AB2/1TiSe2/2/Raman.png
Mode Frequency (1/cm) Degeneracy
Mode 1 0. 3
Mode 2 61. 2
Mode 3 216.4 1
Mode 4 227.3 2
Mode 5 298.1 1

Miscellaneous details
Unique ID 1TiSe2-2
Number of atoms 3
Number of species 2
Formula TiSe2
Reduced formula TiSe2
Stoichiometry AB2
Unit cell area [Å2] 10.580
Original file-system folder /home/niflheim2/cmr/C2DB-ASR/tree/AB2/TiSe2/TiSe2-509ef368050d
Old uid TiSe2-509ef368050d
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] 3.240
Structure origin original03-18
Band gap (PBE) [eV] 0.522
Direct band gap (PBE) [eV] 0.867
gap_dir_nosoc 0.943
Vacuum level [eV] 3.980
Fermi level wrt. vacuum (PBE) [eV] -5.832
Valence band maximum wrt. vacuum (PBE) [eV] -6.093
Conduction band minimum wrt. vacuum (PBE) [eV] -5.571
minhessianeig -0.000
Dynamically stable Yes
Band gap (HSE06) [eV] 1.460
Miscellaneous details
Direct band gap (HSE06) [eV] 2.046
Fermi level wrt. vacuum (HSE) [eV] -5.600
Valence band maximum wrt. vacuum (HSE06) [eV] -6.286
Conduction band minimum wrt. vacuum (HSE06) [eV] -4.826
Band gap (G₀W₀) [eV] 1.481
Direct band gap (G₀W₀) [eV] 2.174
Fermi level wrt. vacuum (G₀W₀) [eV] -5.676
Valence band maximum wrt. vacuum (G₀W₀) [eV] -6.416
Conduction band minimum wrt. vacuum (G₀W₀) [eV] -4.936
E_B 0.716
Interband polarizability (x) [Å] 7.311
Interband polarizability (y) [Å] 7.311
Interband polarizability (z) [Å] 0.404
Static polarizability (phonons) (x) [Å] 3.809
Static polarizability (phonons + electrons) (x) [Å] 11.120
Static polarizability (phonons) (y) [Å] 3.808
Static polarizability (phonons + electrons) (y) [Å] 11.119
Static polarizability (phonons) (z) [Å] 0.014
Static polarizability (phonons + electrons) (z) [Å] 0.418
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000
Energy [eV] -16.670
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] 0.126
Heat of formation [eV/atom] -1.005
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