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HfCrCo4P3

高熵材料 HEA

MP-ID: mp-3295232 · Space group: Pnma (#62)

Basic Information

Formula
HfCrCo4P3
MP-ID
mp-3295232
Elements
4
Sites
36
Density
8.8081
g/cm³
Volume
421.64
ų
Cell a
3.5750
Å
Cell b
10.0941
Å
Cell c
11.6845
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pnma
Point Group
mmm
Crystal System
Orthorhombic
Bravais Lattice
oP
Stability
Yes
Packing Fraction
-

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
15.17 5.8423 13.5 (0,0,2)
17.54 5.0564 2.2 (0,1,2)
17.57 5.0470 7.3 (0,2,0)
19.16 4.6333 7.6 (0,2,1)
23.29 3.8192 1.0 (0,2,2)
24.50 3.6337 4.5 (0,1,3)
26.45 3.3699 2.1 (1,1,0)
27.55 3.2379 21.8 (1,1,1)
28.96 3.0834 5.4 (0,2,3)
29.29 3.0494 5.1 (1,0,2)
30.60 2.9211 4.3 (0,0,4)
30.63 2.9191 5.8 (1,1,2)
30.66 2.9157 11.3 (0,3,2)
31.89 2.8060 2.6 (0,1,4)
35.22 2.5484 6.6 (1,1,3)
35.58 2.5235 1.7 (0,4,0)
36.42 2.4666 14.3 (0,4,1)
36.68 2.4502 14.6 (1,3,0)
38.56 2.3349 19.2 (1,2,3)
38.87 2.3166 3.8 (0,4,2)
39.59 2.2767 13.4 (0,1,5)
39.85 2.2620 51.2 (1,0,4)
39.90 2.2595 100.0 (1,3,2)
40.88 2.2073 12.4 (1,1,4)
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Energy Properties

Formation Energy/atom
-0.78108
eV/atom
Energy/atom
-16.35529
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-16.3553
eV/atom
Volume/atom
11.71
ų
c/a Ratio
3.2684

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
12.0564
μB
Mag. Ordering
FiM
Mag. Sites
20
Magnetization/Volume
0.028590
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Co · 0.444
Element Family
3d-TM
Solute Fraction
0.556
Interstitial Fraction
0.333
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2149
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.1006
J/mol·K
Ω Parameter
1.3892
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
11.498%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2731
smaller = more stable mixing
VEC
6.778
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-10.268
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8764
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295232
Reference Citation

The crystal structure and related material properties of HfCrCo4P3 were obtained from the Materials Project database (MP-ID: mp-3295232, 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_HfCrCo4P3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.57494701
_cell_length_b   10.09406020
_cell_length_c   11.68450423
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfCrCo4P3
_chemical_formula_sum   'Hf4 Cr4 Co16 P12'
_cell_volume   421.64386958
_cell_formula_units_Z   4
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  0.25000000  0.58219181  0.70838486  1.0
  Hf  Hf1  1  0.25000000  0.91780819  0.20838486  1.0
  Hf  Hf2  1  0.75000000  0.41780819  0.29161514  1.0
  Hf  Hf3  1  0.75000000  0.08219181  0.79161514  1.0
  Cr  Cr4  1  0.25000000  0.70827646  0.99072250  1.0
  Cr  Cr5  1  0.25000000  0.79172354  0.49072250  1.0
  Cr  Cr6  1  0.75000000  0.29172354  0.00927750  1.0
  Cr  Cr7  1  0.75000000  0.20827646  0.50927750  1.0
  Co  Co8  1  0.25000000  0.40799691  0.48434005  1.0
  Co  Co9  1  0.25000000  0.09200309  0.98434005  1.0
  Co  Co10  1  0.75000000  0.59200309  0.51565995  1.0
  Co  Co11  1  0.75000000  0.90799691  0.01565995  1.0
  Co  Co12  1  0.25000000  0.22384222  0.17428684  1.0
  Co  Co13  1  0.25000000  0.27615778  0.67428684  1.0
  Co  Co14  1  0.75000000  0.77615778  0.82571316  1.0
  Co  Co15  1  0.75000000  0.72384222  0.32571316  1.0
  Co  Co16  1  0.25000000  0.88240527  0.70476919  1.0
  Co  Co17  1  0.25000000  0.61759473  0.20476919  1.0
  Co  Co18  1  0.75000000  0.11759473  0.29523081  1.0
  Co  Co19  1  0.75000000  0.38240527  0.79523081  1.0
  Co  Co20  1  0.25000000  0.46246881  0.92923370  1.0
  Co  Co21  1  0.25000000  0.03753119  0.42923370  1.0
  Co  Co22  1  0.75000000  0.53753119  0.07076630  1.0
  Co  Co23  1  0.75000000  0.96246881  0.57076630  1.0
  P  P24  1  0.25000000  0.42341304  0.11398748  1.0
  P  P25  1  0.25000000  0.07658696  0.61398748  1.0
  P  P26  1  0.75000000  0.57658696  0.88601252  1.0
  P  P27  1  0.75000000  0.92341304  0.38601252  1.0
  P  P28  1  0.25000000  0.26507676  0.86234828  1.0
  P  P29  1  0.25000000  0.23492324  0.36234828  1.0
  P  P30  1  0.75000000  0.73492324  0.13765172  1.0
  P  P31  1  0.75000000  0.76507676  0.63765172  1.0
  P  P32  1  0.25000000  0.59416138  0.38823427  1.0
  P  P33  1  0.25000000  0.90583862  0.88823427  1.0
  P  P34  1  0.75000000  0.40583862  0.61176573  1.0
  P  P35  1  0.75000000  0.09416138  0.11176573  1.0
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