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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] 0.626
Heat of formation [eV/atom] -0.081
Dynamically stable Yes
Basic properties
Magnetic No
Topology Z2=1
Band gap (PBE) [eV] 0.110
Band gap (HSE06) [eV] 0.150
Band gap (G₀W₀) [eV] 0.274
XYZ CIF JSON
Axis x [Å] y [Å] z [Å] Periodic
1 3.579 0.000 0.000 Yes
2 -1.790 3.100 0.000 Yes
3 0.000 0.000 20.882 No
Lengths [Å] 3.579 3.579 20.882
Angles [°] 90.000 90.000 120.000

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 Te2Ti2
Stoichiometry AB
Number of atoms 4
Unit cell area [Å2] 11.095
Thickness [Å] 5.882

Te2Ti2 (2TeTi-5)
Heat of formation [eV/atom] -0.08
Energy above convex hull [eV/atom] 0.63
Monolayers from C2DB
Te12Ti7 (1Ti7Te12-1) -0.72 eV/atom
Te2Ti (1TiTe2-1) -0.69 eV/atom
Te12Ti8 (4Ti2Te3-1) -0.69 eV/atom
Te3Ti2 (1Ti2Te3-1) -0.67 eV/atom
Te12Ti9 (3Ti3Te4-1) -0.65 eV/atom
Te2Ti (1TiTe2-2) -0.59 eV/atom
Te6Ti2 (2TiTe3-1) -0.49 eV/atom
Te2Ti2 (2TeTi-1) -0.45 eV/atom
Te2Ti2 (2TeTi-2) -0.44 eV/atom
Te2Ti2 (2TeTi-3) -0.43 eV/atom
Te2Ti (1TiTe2-3) -0.36 eV/atom
Te2Ti2 (2TeTi-4) -0.10 eV/atom
Te2Ti2, (2TeTi-5) -0.08 eV/atom
Te2 (2Te-1) 0.16 eV/atom
Te2 (2Te-2) 0.29 eV/atom
Bulk crystals from OQMD123
Te4Ti3 -0.73 eV/atom
Te2Ti -0.70 eV/atom
Te4Ti5 -0.69 eV/atom
Te3 0.00 eV/atom
Ti3 0.00 eV/atom

materials/AB/2TeTi/5/phonon_bs.png
Minimum eigenvalue of Hessian [eV/Ų] -0.00

DVB [eV] xx yy xy
Γ 3.35 3.40 0.06
M 0.18 0.71 -0.36
K 0.65 0.70 0.07
kVBM -1.65 -3.81 0.08
xx yy xy
Band gap [eV] -0.21 1.73 -0.25
DCB [eV] xx yy xy
Γ -2.69 -2.70 0.04
M -1.51 0.49 -1.60
K -2.35 -2.32 0.07
kCBM -1.86 -2.08 -0.17

Cij (N/m) xx yy xy
xx 57.95 11.35 0.10
yy 11.42 57.81 0.06
xy -0.00 -0.01 47.37
Stiffness tensor eigenvalues
Eigenvalue 0 46.49 N/m
Eigenvalue 1 47.37 N/m
Eigenvalue 2 69.26 N/m

Key values [eV]
Band gap (PBE) 0.110
Direct band gap (PBE) 0.110
Valence band maximum wrt. vacuum (PBE) -4.653
Conduction band minimum wrt. vacuum (PBE) -4.543
DOS BZ

Key values [eV]
Band gap (HSE06) 0.150
Direct band gap (HSE06) 0.150
Valence band maximum wrt. vacuum (HSE06) -4.266
Conduction band minimum wrt. vacuum (HSE06) -4.116

Key values [eV]
Band gap (G₀W₀) 0.274
Direct band gap (G₀W₀) 0.297
Valence band maximum wrt. vacuum (G₀W₀) -4.553
Conduction band minimum wrt. vacuum (G₀W₀) -4.279

VBM
Property (VBM) Value
Min eff. mass 0.14 m0
Max eff. mass 0.22 m0
DOS eff. mass 0.17 m0
Crystal coordinates [0.135, 0.135]
Warping parameter -0.005
Barrier height > 96.6 meV
Distance to barrier > 0.0269 Å-1
CBM
Property (CBM) Value
Min eff. mass 0.14 m0
Max eff. mass 0.21 m0
DOS eff. mass 0.17 m0
Crystal coordinates [0.142, 0.142]
Warping parameter 0.007
Barrier height > 132.9 meV
Distance to barrier > 0.0269 Å-1

Atom No. Chemical symbol Charges [|e|]
0 Ti 0.73
1 Te -0.73
2 Te -0.72
3 Ti 0.72

materials/AB/2TeTi/5/berry-phases0.png

materials/AB/2TeTi/5/rpa-pol-x.png materials/AB/2TeTi/5/rpa-pol-z.png
materials/AB/2TeTi/5/rpa-pol-y.png
Properties
Interband polarizability (x) [Å] 181.976
Interband polarizability (y) [Å] 186.547
Interband polarizability (z) [Å] 0.655
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000

materials/AB/2TeTi/5/ir-pol-x.png materials/AB/2TeTi/5/ir-pol-z.png
materials/AB/2TeTi/5/ir-pol-y.png
Static polarizability [Å]
Phonons only (x) 403.01
Phonons only (y) 218.62
Phonons only (z) 0.00
Total (phonons + electrons) (x) 584.99
Total (phonons + electrons) (y) 405.16
Total (phonons + electrons) (z) 0.65

materials/AB/2TeTi/5/shg1.png materials/AB/2TeTi/5/shg3.png materials/AB/2TeTi/5/shg5.png materials/AB/2TeTi/5/shg7.png materials/AB/2TeTi/5/shg9.png materials/AB/2TeTi/5/shg11.png
materials/AB/2TeTi/5/shg2.png materials/AB/2TeTi/5/shg4.png materials/AB/2TeTi/5/shg6.png materials/AB/2TeTi/5/shg8.png materials/AB/2TeTi/5/shg10.png
Element Relations
xxy xxy=xyx
xxz xxz=xzx
yxx
yyy
yyz yyz=yzy
yzz
Others 0=xxx=xyy=xyz=xzy=xzz=yxy=yxz=yyx=yzx=zxy=zxz=zyx= zzx
zxx
zyy
zyz zyz=zzy
zzz

materials/AB/2TeTi/5/Raman.png
Mode Frequency (1/cm) Degeneracy
Mode 1 11.9 2
Mode 2 0.1 3
Mode 3 87.5 1
Mode 4 169.2 2
Mode 5 185.6 2
Mode 6 262.1 1
Mode 7 302.1 1

Miscellaneous details
Unique ID 2TeTi-5
Number of atoms 4
Number of species 2
Formula Te2Ti2
Reduced formula TeTi
Stoichiometry AB
Unit cell area [Å2] 11.095
Original file-system folder /home/niflheim2/cmr/C2DB-ASR/tree/AB/TeTi/Te2Ti2-ecf4b958e9a1
Old uid Te2Ti2-ecf4b958e9a1
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] 5.882
Structure origin original03-18
Band gap (PBE) [eV] 0.110
Direct band gap (PBE) [eV] 0.110
gap_dir_nosoc 0.061
Vacuum level [eV] 4.936
Fermi level wrt. vacuum (PBE) [eV] -4.598
Valence band maximum wrt. vacuum (PBE) [eV] -4.653
Conduction band minimum wrt. vacuum (PBE) [eV] -4.543
minhessianeig -0.000
Dynamically stable Yes
Band gap (HSE06) [eV] 0.150
Miscellaneous details
Direct band gap (HSE06) [eV] 0.150
Fermi level wrt. vacuum (HSE) [eV] -4.185
Valence band maximum wrt. vacuum (HSE06) [eV] -4.266
Conduction band minimum wrt. vacuum (HSE06) [eV] -4.116
Band gap (G₀W₀) [eV] 0.274
Direct band gap (G₀W₀) [eV] 0.297
Fermi level wrt. vacuum (G₀W₀) [eV] -4.416
Valence band maximum wrt. vacuum (G₀W₀) [eV] -4.553
Conduction band minimum wrt. vacuum (G₀W₀) [eV] -4.279
Interband polarizability (x) [Å] 181.976
Interband polarizability (y) [Å] 186.547
Interband polarizability (z) [Å] 0.655
Static polarizability (phonons) (x) [Å] 403.015
Static polarizability (phonons + electrons) (x) [Å] 584.991
Static polarizability (phonons) (y) [Å] 218.617
Static polarizability (phonons + electrons) (y) [Å] 405.164
Static polarizability (phonons) (z) [Å] 0.000
Static polarizability (phonons + electrons) (z) [Å] 0.655
Plasma frequency (x) [eV Å0.5] 0.000
Plasma frequency (y) [eV Å0.5] 0.000
Energy [eV] -20.115
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] 0.626
Heat of formation [eV/atom] -0.081
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