Material:

Al3Cr

ID:

MMD-3735

Explore database:

Compounds with the same formula: Al3Cr (1 entry found)
Compounds with the same elements: Al-Cr (4 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

tetragonal

Space group number

139

Hermann-Mauguin

I4/mmm

Hall

-I 4 2

Point group

4/mmm

Structure data:

Normalized formula

Al3Cr

The number of formula units per unit cell

2

The total number of atoms per unit cell

8

The number of inequivalent sites per unit cell

3

Structure search

MP


Lattice parameters:

a (Å)

3.7817

b (Å)

3.7817

c (Å)

8.0915

α (deg.)

90.000

β (deg.)

90.000

γ (deg.)

90.000

Volume (Å3)

115.720

Density (g/cm3)

3.815

Crystal structure visualization:


Thermodynamic properties:

DFT calculations (details)

Formation energy (vs. elemental phases)

-142.6 meV/atom

Formation energy above hull

0 meV, (stable)

Phase diagram:

Phase diagram

Related structures:

Compounds with the same formula: Al3Cr

1 entry found

Compounds with the same elements: Al-Cr

4 entries found


Magnetic properties:

DFT calculations (details)

Magnetic ordering

Ferromagnetic

Total magnetic moment

2.22 μB/cell

Averaged magnetic moment

0.28 μB/atom

Magnetic polarization, Js = μ0Ms

0.22 T (= 175.1 emu/cm3)

LMTO-GF calculations (details)

Curie temperature, TC

DFT calculations (details)

Magnetic easy axis

Magnetic hardness parameter, κ


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

index species w x y z m (μB) Esoc100 (meV) Esoc001 (meV)
1 Al 4d 0.000000 0.500000 0.250000 -0.04 . .
2 Al 4d 0.500000 0.000000 0.250000 -0.04 . .
3 Al 4d 0.500000 0.500000 0.000000 -0.03 . .
4 Al 4d 0.500000 0.000000 0.750000 -0.04 . .
5 Al 2b 0.000000 0.500000 0.750000 -0.04 . .
6 Al 2b 0.000000 0.000000 0.500000 -0.03 . .
7 Cr 2a 0.000000 0.000000 0.000000 1.23 . .
8 Cr 2a 0.500000 0.500000 0.500000 1.23 . .
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.)

Site-resolved magnetic moments:

Local magnetic moments

Pair-wise magnetic data:

site i site j distance (Å) Jij (meV)
1 Al 4d 2 Al 4d 2.67 .
1 Al 4d 3 Al 4d 2.77 .
1 Al 4d 4 Al 4d 4.85 .
1 Al 4d 5 Al 2b 4.05 .
1 Al 4d 6 Al 2b 2.77 .
1 Al 4d 7 Cr 2a 2.77 .
1 Al 4d 8 Cr 2a 2.77 .
2 Al 4d 3 Al 4d 2.77 .
2 Al 4d 4 Al 4d 4.05 .
2 Al 4d 5 Al 2b 4.85 .
2 Al 4d 6 Al 2b 2.77 .
2 Al 4d 7 Cr 2a 2.77 .
2 Al 4d 8 Cr 2a 2.77 .
3 Al 4d 4 Al 4d 2.77 .
3 Al 4d 5 Al 2b 2.77 .
3 Al 4d 6 Al 2b 4.85 .
3 Al 4d 7 Cr 2a 2.67 .
3 Al 4d 8 Cr 2a 4.05 .
4 Al 4d 5 Al 2b 2.67 .
4 Al 4d 6 Al 2b 2.77 .
4 Al 4d 7 Cr 2a 2.77 .
4 Al 4d 8 Cr 2a 2.77 .
5 Al 2b 6 Al 2b 2.77 .
5 Al 2b 7 Cr 2a 2.77 .
5 Al 2b 8 Cr 2a 2.77 .
6 Al 2b 7 Cr 2a 4.05 .
6 Al 2b 8 Cr 2a 2.67 .
7 Cr 2a 8 Cr 2a 4.85 .
Jij: magnetic exchange parameter between site i and j (Individual Jij values are temporarily not available while we perform maintenance.)
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-867780


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