Material:

Ti

ID:

MMD-876

Explore database:

Compounds with the same formula: Ti (3 entries found)
Compounds with the same elements: Ti (3 entries found)
Navigation:
Space group | Lattice parameters | Thermodynamic properties | Phase diagram | Magnetic properties | Atomic positions and site-specific magnetic data | Pair-wise magnetic data | Methods | References

Space group:

Crystal system

cubic

Space group number

225

Hermann-Mauguin

Fm-3m

Hall

-F 4 2 3

Point group

m-3m

Structure data:

Normalized formula

Ti

The number of formula units per unit cell

4

The total number of atoms per unit cell

4

The number of inequivalent sites per unit cell

1

Structure search

MP

Lattice parameters:

a (Å)

4.1091

b (Å)

4.1091

c (Å)

4.1091

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

90.000

Volume (Å3)

69.379

Density (g/cm3)

4.583

Crystal structure visualization:

Thermodynamic properties:

DFT calculations (details)

Formation energy (vs. elemental phases)

54.4 meV/atom

Formation energy above hull

54.4 meV/atom

Phase diagram:


Phase diagram is not available for this entry.

Related structures:

Compounds with the same formula: Ti

3 entries found

Compounds with the same elements: Ti

3 entries found

Magnetic properties:

DFT calculations (details)

Magnetic ordering

non-magnetic

Total magnetic moment

0.00 μB/cell

Averaged magnetic moment

0.00 μB/atom

Magnetic polarization, Js = μ0Ms

0.00 T (= 0.0 emu/cm3)
Data for the Curie temperature are not available for this entry.
Data for the magnetic anisotropy are not available for this entry.

Atomic positions (fractional coordinates) and site-specific magnetic data:

index species w x y z m (μB) Esoc100 (meV) Esoc001 (meV)
1 Ti 4a 0.000000 0.000000 0.000000 0.00 . .
2 Ti 4a 0.000000 0.500000 0.500000 0.00 . .
3 Ti 4a 0.500000 0.000000 0.500000 0.00 . .
4 Ti 4a 0.500000 0.500000 0.000000 0.00 . .
w: site multiplicity (the number of equivalent positions) and Wyckoff letter (a label for site symmetry)
m: local magnetic moment
Esoc100 (001): Spin-orbit coupling energy for the magnetization oriented along the crystallographic a (c) axis
(Individual Esoc values are temporarily not available while we perform maintenance.)
Terms and conditions

Site-resolved magnetic moments:

Local magnetic moments

Pair-wise magnetic data:

site i site j distance (Å) Jij (meV)
1 Ti 4a 2 Ti 4a 2.91 .
1 Ti 4a 3 Ti 4a 2.91 .
1 Ti 4a 4 Ti 4a 2.91 .
2 Ti 4a 3 Ti 4a 2.91 .
2 Ti 4a 4 Ti 4a 2.91 .
3 Ti 4a 4 Ti 4a 2.91 .
Jij: magnetic exchange parameter between site i and j (Individual Jij values are temporarily not available while we perform maintenance.)
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Terms and conditions

Pair-resolved magnetic exchange parameters:


Diagram is not available for this entry.

Individual exchange parameters:


Diagram is not available for this entry.

Methods:

DFT calculations

  • exchange-correlation energy functional: GGA-PBE
  • pseudopotential type: PAW
  • cutoff energy: 65.0 Ry
  • k-point grid: (kx, ky, kz) = (None, None, None) for magnetic anisotropy calculations
  • package: QE (v6.3)

LMTO-GF calculations

  • k-point grid: (kx, ky, kz) =
  • energy mesh: 41 points on an elliptical contour
  • package: Questaal (v7)

References:

References

Materials Project: mp-6985
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