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Mg14ZrC

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-1027875 · Space group: P-6m2 (#187)

Basic Information

Formula
Mg14ZrC
MP-ID
mp-1027875
Elements
3
Sites
16
Density
2.1759
g/cm³
Volume
338.45
ų
Cell a
6.2851
Å
Cell b
6.2851
Å
Cell c
9.8934
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
8.94 9.8934 15.1 (0,0,0,1)
16.28 5.4431 12.0 (1,0,-1,0)
17.93 4.9467 2.3 (0,0,0,2)
18.61 4.7690 22.1 (1,0,-1,1)
24.31 3.6608 3.6 (1,0,-1,2)
27.04 3.2978 3.5 (0,0,0,3)
28.40 3.1426 2.2 (2,-1,-1,0)
29.83 2.9951 3.3 (2,-1,-1,1)
29.83 2.9951 6.6 (1,1,-2,1)
31.72 2.8205 10.7 (1,0,-1,3)
32.91 2.7215 17.2 (2,0,-2,0)
32.91 2.7215 8.6 (0,2,-2,0)
33.79 2.6526 2.2 (2,-1,-1,2)
34.17 2.6241 4.3 (2,0,-2,1)
34.17 2.6241 2.2 (0,2,-2,1)
36.32 2.4734 24.0 (0,0,0,4)
37.73 2.3845 100.0 (2,0,-2,2)
39.62 2.2750 1.9 (2,-1,-1,3)
40.04 2.2518 2.1 (1,0,-1,4)
43.09 2.0991 1.5 (2,0,-2,3)
45.01 2.0142 3.6 (3,-1,-2,1)
45.01 2.0142 1.8 (1,2,-3,1)
46.74 1.9436 1.1 (2,-1,-1,4)
47.89 1.8996 3.9 (3,-1,-2,2)
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Energy Properties

Formation Energy/atom
0.31113
eV/atom
Energy/atom
-2.22670
eV/atom
Energy above Hull
0.4115
eV/atom
Uncorrected Energy
-2.2267
eV/atom
Volume/atom
21.15
ų
c/a Ratio
1.5741

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0062
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000020
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Mg · 0.875
Element Family
Alkali-AlkEarth
Solute Fraction
0.125
Interstitial Fraction
0.063

High-Entropy Alloy Features

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
0.4108
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
12.978%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2999
smaller = more stable mixing
VEC
2.250
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-11.063
kJ/mol; negative = exothermic mixing
Entropy Norm
0.4218
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
C
Score
0.663
Family
Mg-based Alloy
Matrix Element
Mg · 0.875

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1027875
Reference Citation

The crystal structure and related material properties of Mg14ZrC were obtained from the Materials Project database (MP-ID: mp-1027875, 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_Mg14ZrC
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.28510754
_cell_length_b   6.28510705
_cell_length_c   9.89338495
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000258
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Mg14ZrC
_chemical_formula_sum   'Mg14 Zr1 C1'
_cell_volume   338.45498909
_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
  Mg  Mg0  1  0.17911320  0.83955610  0.12500000  1.0
  Mg  Mg1  1  0.15966618  0.82983259  0.62500000  1.0
  Mg  Mg2  1  0.66044390  0.32088680  0.12500000  1.0
  Mg  Mg3  1  0.67016741  0.34033382  0.62500000  1.0
  Mg  Mg4  1  0.66044390  0.83955610  0.12500000  1.0
  Mg  Mg5  1  0.67016741  0.82983259  0.62500000  1.0
  Mg  Mg6  1  0.32185294  0.17814706  0.39043758  1.0
  Mg  Mg7  1  0.32185294  0.17814706  0.85956242  1.0
  Mg  Mg8  1  0.32185294  0.64370688  0.39043758  1.0
  Mg  Mg9  1  0.32185294  0.64370688  0.85956242  1.0
  Mg  Mg10  1  0.85629312  0.17814706  0.39043758  1.0
  Mg  Mg11  1  0.85629312  0.17814706  0.85956242  1.0
  Mg  Mg12  1  0.83333300  0.66666700  0.36406718  1.0
  Mg  Mg13  1  0.83333300  0.66666700  0.88593282  1.0
  Zr  Zr14  1  0.16666700  0.33333300  0.12500000  1.0
  C  C15  1  0.16666700  0.33333300  0.62500000  1.0
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