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Fe3Cu2Sb(PO4)6

High-Entropy Materials HEA

MP-ID: mp-776055 · Space group: R3 (#146)

Basic Information

Formula
Fe3Cu2Sb(PO4)6
MP-ID
mp-776055
Elements
5
Sites
36
Density
3.5953
g/cm³
Volume
455.50
ų
Cell a
8.6289
Å
Cell b
8.6289
Å
Cell c
8.6289
Å
α Angle
60.12
°
β Angle
60.12
°
γ Angle
60.12
°
Space Group
R3
Point Group
3
Crystal System
Trigonal
Bravais Lattice
hR
Stability
No
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
12.55 7.0557 7.1 (1,0,0)
12.57 7.0394 3.0 (1,1,1)
14.50 6.1069 5.4 (1,1,0)
20.55 4.3220 100.0 (1,0,-1)
20.59 4.3145 16.3 (2,1,1)
24.15 3.6855 1.9 (1,1,-1)
24.16 3.6832 73.5 (2,1,0)
24.19 3.6785 3.0 (2,2,1)
25.24 3.5279 12.4 (2,0,0)
25.30 3.5197 1.6 (2,2,2)
29.25 3.0534 12.4 (2,2,0)
31.91 2.8043 12.8 (2,0,-1)
31.95 2.8013 1.4 (3,1,1)
31.98 2.7982 1.3 (3,2,2)
32.77 2.7330 5.9 (2,1,-1)
32.82 2.7292 72.2 (3,2,1)
35.99 2.4953 40.4 (2,-1,-1)
36.01 2.4938 1.5 (3,1,0)
36.01 2.4938 3.0 (1,3,0)
36.08 2.4895 3.6 (3,3,2)
38.27 2.3519 1.0 (3,0,0)
38.29 2.3507 2.3 (3,2,0)
41.80 2.1610 4.1 (2,0,-2)
41.88 2.1572 9.9 (4,2,2)
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Energy Properties

Formation Energy/atom
-2.18657
eV/atom
Energy/atom
-7.43606
eV/atom
Energy above Hull
0.0559
eV/atom
Uncorrected Energy
-6.7901
eV/atom
Volume/atom
12.65
ų
c/a Ratio
1.0000

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
16.9998
μB
Mag. Ordering
FM
Mag. Sites
5
Magnetization/Volume
0.037320
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.667
Element Family
Metalloid-Nonmetal
Solute Fraction
0.333
Interstitial Fraction
0.167

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0361
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.6144
J/mol·K
Ω Parameter
0.9661
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
36.206%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.6664
smaller = more stable mixing
VEC
4.917
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-3.040
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6438
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-776055
Reference Citation

The crystal structure and related material properties of Fe3Cu2Sb(PO4)6 were obtained from the Materials Project database (MP-ID: mp-776055, 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_Fe3Cu2Sb(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.62893180
_cell_length_b   8.62893117
_cell_length_c   8.62893122
_cell_angle_alpha   60.11517011
_cell_angle_beta   60.11517252
_cell_angle_gamma   60.11517279
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Fe3Cu2Sb(PO4)6
_chemical_formula_sum   'Fe3 Cu2 Sb1 P6 O24'
_cell_volume   455.49938294
_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
  Fe  Fe0  1  0.14499800  0.14499800  0.14499800  1.0
  Fe  Fe1  1  0.35502800  0.35502800  0.35502800  1.0
  Fe  Fe2  1  0.64358600  0.64358600  0.64358600  1.0
  Cu  Cu3  1  0.00709400  0.00709400  0.00709400  1.0
  Cu  Cu4  1  0.49995500  0.49995500  0.49995500  1.0
  Sb  Sb5  1  0.85703800  0.85703800  0.85703800  1.0
  P  P6  1  0.04587000  0.74669900  0.45372400  1.0
  P  P7  1  0.45372400  0.04587000  0.74669900  1.0
  P  P8  1  0.74669900  0.45372400  0.04587000  1.0
  P  P9  1  0.25267700  0.53910400  0.95502700  1.0
  P  P10  1  0.53910400  0.95502700  0.25267700  1.0
  P  P11  1  0.95502700  0.25267700  0.53910400  1.0
  O  O12  1  0.11389800  0.30542100  0.50904600  1.0
  O  O13  1  0.30542100  0.50904600  0.11389800  1.0
  O  O14  1  0.05963000  0.91325000  0.26353100  1.0
  O  O15  1  0.50904600  0.11389800  0.30542100  1.0
  O  O16  1  0.01198000  0.80754100  0.61537800  1.0
  O  O17  1  0.23884800  0.58422400  0.44390800  1.0
  O  O18  1  0.26353100  0.05963000  0.91325000  1.0
  O  O19  1  0.44390800  0.23884800  0.58422400  1.0
  O  O20  1  0.18645400  0.38612200  0.99336900  1.0
  O  O21  1  0.58422400  0.44390800  0.23884800  1.0
  O  O22  1  0.08324600  0.73928200  0.94063000  1.0
  O  O23  1  0.38612200  0.99336900  0.18645400  1.0
  O  O24  1  0.61537800  0.01198000  0.80754100  1.0
  O  O25  1  0.91325000  0.26353100  0.05963000  1.0
  O  O26  1  0.41152300  0.56072400  0.75905700  1.0
  O  O27  1  0.80754100  0.61537800  0.01198000  1.0
  O  O28  1  0.56072400  0.75905700  0.41152300  1.0
  O  O29  1  0.73928200  0.94063000  0.08324600  1.0
  O  O30  1  0.75905700  0.41152300  0.56072400  1.0
  O  O31  1  0.99336900  0.18645400  0.38612200  1.0
  O  O32  1  0.49884800  0.88427200  0.68902000  1.0
  O  O33  1  0.94063000  0.08324600  0.73928200  1.0
  O  O34  1  0.68902000  0.49884800  0.88427200  1.0
  O  O35  1  0.88427200  0.68902000  0.49884800  1.0
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