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FeCu(PO4)2

High-Entropy Materials HEA

MP-ID: mp-768377 · Space group: R3 (#146)

Basic Information

Formula
FeCu(PO4)2
MP-ID
mp-768377
Elements
4
Sites
36
Density
3.4937
g/cm³
Volume
441.07
ų
Cell a
8.5020
Å
Cell b
8.5872
Å
Cell c
8.5872
Å
α Angle
60.00
°
β Angle
59.67
°
γ Angle
59.67
°
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
14.66 6.0414 3.8 (1,1,0)
20.69 4.2936 100.0 (1,2,1)
20.90 4.2506 8.8 (1,0,-1)
24.41 3.6464 15.9 (0,1,2)
24.41 3.6464 76.1 (1,1,-1)
25.45 3.4998 18.5 (0,2,0)
29.57 3.0207 5.6 (2,2,0)
29.57 3.0207 2.8 (2,0,2)
32.14 2.7853 15.1 (1,3,1)
33.02 2.7127 5.7 (2,3,1)
33.02 2.7127 1.2 (1,-1,2)
33.29 2.6910 25.8 (2,1,-1)
33.29 2.6910 51.7 (3,2,1)
36.24 2.4789 43.7 (2,3,3)
36.37 2.4705 1.8 (1,1,-2)
36.74 2.4460 1.7 (3,1,0)
42.09 2.1468 2.9 (2,4,2)
42.54 2.1253 7.4 (2,0,-2)
42.54 2.1253 3.7 (2,-2,0)
44.18 2.0500 1.8 (3,4,2)
44.66 2.0290 3.4 (3,1,-1)
45.02 2.0138 5.7 (1,0,-3)
45.02 2.0138 2.9 (3,0,3)
47.75 1.9047 11.5 (3,2,-1)
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Energy Properties

Formation Energy/atom
-2.03781
eV/atom
Energy/atom
-7.28647
eV/atom
Energy above Hull
0.0879
eV/atom
Uncorrected Energy
-6.6405
eV/atom
Volume/atom
12.25
ų
c/a Ratio
1.0100

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
17.0003
μB
Mag. Ordering
FiM
Mag. Sites
6
Magnetization/Volume
0.038540
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
0.9831
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.1734
J/mol·K
Ω Parameter
1.1184
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
35.237%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.6726
smaller = more stable mixing
VEC
5.083
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-2.583
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7091
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-768377
Reference Citation

The crystal structure and related material properties of FeCu(PO4)2 were obtained from the Materials Project database (MP-ID: mp-768377, 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_FeCu(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.50202198
_cell_length_b   8.58714781
_cell_length_c   8.58714827
_cell_angle_alpha   59.99999500
_cell_angle_beta   59.66823832
_cell_angle_gamma   59.66822738
_symmetry_Int_Tables_number   1
_chemical_formula_structural   FeCu(PO4)2
_chemical_formula_sum   'Fe3 Cu3 P6 O24'
_cell_volume   441.07147370
_cell_formula_units_Z   3
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  0.06636200  0.64454600  0.64454600  1.0
  Fe  Fe1  1  0.42995300  0.85668200  0.85668200  1.0
  Fe  Fe2  1  0.93149600  0.35616800  0.35616800  1.0
  Cu  Cu3  1  0.99757300  0.00080900  0.00080900  1.0
  Cu  Cu4  1  0.56941900  0.14352700  0.14352700  1.0
  Cu  Cu5  1  0.49848700  0.50050400  0.50050400  1.0
  P  P6  1  0.25039500  0.24963600  0.54390800  1.0
  P  P7  1  0.25039500  0.95606100  0.24963600  1.0
  P  P8  1  0.25039500  0.54390800  0.95606100  1.0
  P  P9  1  0.74824700  0.45641100  0.04507200  1.0
  P  P10  1  0.74824700  0.04507200  0.75027100  1.0
  P  P11  1  0.74824700  0.75027100  0.45641100  1.0
  O  O12  1  0.06777500  0.11365200  0.31466300  1.0
  O  O13  1  0.06777500  0.50391000  0.11365200  1.0
  O  O14  1  0.06777500  0.31466300  0.50391000  1.0
  O  O15  1  0.22625200  0.08744200  0.74277000  1.0
  O  O16  1  0.44027900  0.18794700  0.38816000  1.0
  O  O17  1  0.26975700  0.41182200  0.56194600  1.0
  O  O18  1  0.22625200  0.94353600  0.08744200  1.0
  O  O19  1  0.26975700  0.75647500  0.41182200  1.0
  O  O20  1  0.56509400  0.61380900  0.00617800  1.0
  O  O21  1  0.26975700  0.56194600  0.75647500  1.0
  O  O22  1  0.77576400  0.25824000  0.05240100  1.0
  O  O23  1  0.56509400  0.00617800  0.81491900  1.0
  O  O24  1  0.44027900  0.98361500  0.18794700  1.0
  O  O25  1  0.22625200  0.74277000  0.94353600  1.0
  O  O26  1  0.72641800  0.44096500  0.24392600  1.0
  O  O27  1  0.44027900  0.38816000  0.98361500  1.0
  O  O28  1  0.72641800  0.24392600  0.58868900  1.0
  O  O29  1  0.77576400  0.05240100  0.91359500  1.0
  O  O30  1  0.72641800  0.58868900  0.44096500  1.0
  O  O31  1  0.56509400  0.81491900  0.61380900  1.0
  O  O32  1  0.77576400  0.91359500  0.25824000  1.0
  O  O33  1  0.93225700  0.68230200  0.49666800  1.0
  O  O34  1  0.93225700  0.49666800  0.88877200  1.0
  O  O35  1  0.93225700  0.88877200  0.68230200  1.0
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