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MP-ID: mp-1027813 · Space group: P-6m2 (#187)

Basic Information

Formula
HfMg14Fe
MP-ID
mp-1027813
Elements
3
Sites
16
Density
2.7689
g/cm³
Volume
344.59
ų
Cell a
6.2913
Å
Cell b
6.2913
Å
Cell c
10.0531
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-6m2
Point Group
-6m2
Crystal System
Hexagonal
Bravais Lattice
hP
Stability
No
Packing Fraction
0.7405

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
8.80 10.0531 18.8 (0,0,0,1)
16.27 5.4484 53.5 (1,0,-1,0)
17.64 5.0266 13.8 (0,0,0,2)
18.52 4.7901 26.2 (1,0,-1,1)
24.09 3.6945 35.4 (1,0,-1,2)
26.60 3.3510 3.2 (0,0,0,3)
28.37 3.1456 13.2 (2,-1,-1,0)
29.76 3.0021 3.4 (2,-1,-1,1)
29.76 3.0021 6.8 (1,1,-2,1)
31.34 2.8544 10.0 (1,0,-1,3)
32.88 2.7242 30.3 (2,0,-2,0)
33.61 2.6665 16.5 (2,-1,-1,2)
34.10 2.6294 4.7 (2,0,-2,1)
34.10 2.6294 2.4 (0,2,-2,1)
35.73 2.5133 24.3 (0,0,0,4)
37.55 2.3951 100.0 (2,0,-2,2)
39.28 2.2935 1.0 (2,-1,-1,3)
39.28 2.2935 2.1 (1,1,-2,3)
39.49 2.2822 11.7 (1,0,-1,4)
42.78 2.1138 1.9 (2,0,-2,3)
43.97 2.0593 6.5 (3,-1,-2,0)
44.93 2.0174 4.1 (3,-1,-2,1)
44.93 2.0174 2.1 (1,2,-3,1)
46.24 1.9635 7.1 (2,-1,-1,4)
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Energy Properties

Formation Energy/atom
0.19546
eV/atom
Energy/atom
-2.38290
eV/atom
Energy above Hull
0.2285
eV/atom
Uncorrected Energy
-2.3829
eV/atom
Volume/atom
21.54
ų
c/a Ratio
1.5980

Electronic Properties

Metallic
Metal
Band Gap
0
eV
Direct Gap
No
CBM
N/A
eV

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.0567
μB
Mag. Ordering
FM
Mag. Sites
1
Magnetization/Volume
0.000160
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Mg · 0.875
Element Family
Alkali-AlkEarth
Solute Fraction
0.125
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.4634
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
3.8528
J/mol·K
Ω Parameter
2.2729
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
5.207%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.1261
smaller = more stable mixing
VEC
2.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-1.826
kJ/mol; negative = exothermic mixing
Entropy Norm
0.4218
SS Former
1
Phase Tendency
SS

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1027813
Reference Citation

The crystal structure and related material properties of HfMg14Fe were obtained from the Materials Project database (MP-ID: mp-1027813, database version v2026.04.13).

Literature Citation

Horton, M.K., Huck, P., Yang, R.X. et al. Accelerated data-driven materials science with the Materials Project. Nat. Mater. 24, 1522–1532 (2025). https://doi.org/10.1038/s41563-025-02272-0

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_HfMg14Fe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.29126296
_cell_length_b   6.29126246
_cell_length_c   10.05312158
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000262
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfMg14Fe
_chemical_formula_sum   'Hf1 Mg14 Fe1'
_cell_volume   344.59359173
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Hf  Hf0  1  0.16666700  0.33333300  0.62500000  1.0
  Mg  Mg1  1  0.16300968  0.83150434  0.12500000  1.0
  Mg  Mg2  1  0.17547979  0.83773939  0.62500000  1.0
  Mg  Mg3  1  0.66849566  0.33699032  0.12500000  1.0
  Mg  Mg4  1  0.66226061  0.32452021  0.62500000  1.0
  Mg  Mg5  1  0.66849566  0.83150434  0.12500000  1.0
  Mg  Mg6  1  0.66226061  0.83773939  0.62500000  1.0
  Mg  Mg7  1  0.32545638  0.17454362  0.36226160  1.0
  Mg  Mg8  1  0.32545638  0.17454362  0.88773840  1.0
  Mg  Mg9  1  0.32545638  0.65091377  0.36226160  1.0
  Mg  Mg10  1  0.32545638  0.65091377  0.88773840  1.0
  Mg  Mg11  1  0.84908623  0.17454362  0.36226160  1.0
  Mg  Mg12  1  0.84908623  0.17454362  0.88773840  1.0
  Mg  Mg13  1  0.83333300  0.66666700  0.38241233  1.0
  Mg  Mg14  1  0.83333300  0.66666700  0.86758767  1.0
  Fe  Fe15  1  0.16666700  0.33333300  0.12500000  1.0
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