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MnFe(PO4)2

High-Entropy Materials HEA

MP-ID: mp-773672 · Space group: R3 (#146)

Basic Information

Formula
MnFe(PO4)2
MP-ID
mp-773672
Elements
4
Sites
36
Density
3.3883
g/cm³
Volume
442.14
ų
Cell a
8.4999
Å
Cell b
8.6035
Å
Cell c
8.6035
Å
α Angle
60.00
°
β Angle
59.60
°
γ Angle
59.60
°
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
14.65 6.0462 1.9 (1,1,0)
20.65 4.3017 86.2 (0,1,-1)
20.91 4.2493 9.4 (2,1,1)
24.39 3.6500 100.0 (1,1,-1)
25.41 3.5051 17.2 (0,2,0)
29.55 3.0231 9.7 (2,2,0)
32.08 2.7904 17.1 (0,2,-1)
32.96 2.7173 1.8 (1,2,-1)
32.96 2.7173 3.7 (2,3,1)
33.30 2.6908 57.1 (3,2,1)
33.30 2.6908 12.2 (1,-2,-1)
36.17 2.4836 38.7 (1,3,0)
36.32 2.4734 2.9 (1,1,-2)
36.78 2.4435 1.3 (3,1,0)
38.67 2.3282 1.6 (2,2,-1)
42.01 2.1509 1.0 (0,2,-2)
42.55 2.1247 6.4 (4,2,2)
42.55 2.1247 3.2 (2,-2,0)
44.10 2.0534 2.6 (1,2,-2)
44.69 2.0277 4.3 (4,2,1)
44.98 2.0154 5.4 (3,0,3)
47.74 1.9050 21.3 (3,2,-1)
47.74 1.9050 10.7 (1,-2,-3)
49.29 1.8488 4.9 (1,1,-3)
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Energy Properties

Formation Energy/atom
-2.30974
eV/atom
Energy/atom
-7.98030
eV/atom
Energy above Hull
0.0879
eV/atom
Uncorrected Energy
-7.1953
eV/atom
Volume/atom
12.28
ų
c/a Ratio
1.0122

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
25.0396
μB
Mag. Ordering
FM
Mag. Sites
6
Magnetization/Volume
0.056630
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
0.6833
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
35.094%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.7239
smaller = more stable mixing
VEC
4.750
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-4.389
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-773672
Reference Citation

The crystal structure and related material properties of MnFe(PO4)2 were obtained from the Materials Project database (MP-ID: mp-773672, 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_MnFe(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.49985308
_cell_length_b   8.60346214
_cell_length_c   8.60346236
_cell_angle_alpha   60.00000397
_cell_angle_beta   59.59594567
_cell_angle_gamma   59.59594377
_symmetry_Int_Tables_number   1
_chemical_formula_structural   MnFe(PO4)2
_chemical_formula_sum   'Mn3 Fe3 P6 O24'
_cell_volume   442.14366733
_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
  Mn  Mn0  1  0.07446700  0.64184500  0.64184500  1.0
  Mn  Mn1  1  0.43296200  0.85567900  0.85567900  1.0
  Mn  Mn2  1  0.92696500  0.35767900  0.35767900  1.0
  Fe  Fe3  1  0.99965200  0.00011600  0.00011600  1.0
  Fe  Fe4  1  0.56358600  0.14547100  0.14547100  1.0
  Fe  Fe5  1  0.50249600  0.49916800  0.49916800  1.0
  P  P6  1  0.24529700  0.25103200  0.54579200  1.0
  P  P7  1  0.24529700  0.95787900  0.25103200  1.0
  P  P8  1  0.24529700  0.54579200  0.95787900  1.0
  P  P9  1  0.75472500  0.45707900  0.03922700  1.0
  P  P10  1  0.75472500  0.03922700  0.74896900  1.0
  P  P11  1  0.75472500  0.74896900  0.45707900  1.0
  O  O12  1  0.06041600  0.11578900  0.31187800  1.0
  O  O13  1  0.06041600  0.51191800  0.11578900  1.0
  O  O14  1  0.06041600  0.31187800  0.51191800  1.0
  O  O15  1  0.21820400  0.09218200  0.74836200  1.0
  O  O16  1  0.43120200  0.18561800  0.38949100  1.0
  O  O17  1  0.27049500  0.41176300  0.56003200  1.0
  O  O18  1  0.21820400  0.94125000  0.09218200  1.0
  O  O19  1  0.27049500  0.75771000  0.41176300  1.0
  O  O20  1  0.56759600  0.60923400  0.00620300  1.0
  O  O21  1  0.27049500  0.56003200  0.75771000  1.0
  O  O22  1  0.78323400  0.25476300  0.05232500  1.0
  O  O23  1  0.56759600  0.00620300  0.81696700  1.0
  O  O24  1  0.43120200  0.99369000  0.18561800  1.0
  O  O25  1  0.21820400  0.74836200  0.94125000  1.0
  O  O26  1  0.72953000  0.44417900  0.23820300  1.0
  O  O27  1  0.43120200  0.38949100  0.99369000  1.0
  O  O28  1  0.72953000  0.23820300  0.58808800  1.0
  O  O29  1  0.78323400  0.05232500  0.90967700  1.0
  O  O30  1  0.72953000  0.58808800  0.44417900  1.0
  O  O31  1  0.56759600  0.81696700  0.60923400  1.0
  O  O32  1  0.78323400  0.90967700  0.25476300  1.0
  O  O33  1  0.93925600  0.68083700  0.49690700  1.0
  O  O34  1  0.93925600  0.49690700  0.88300000  1.0
  O  O35  1  0.93925600  0.88300000  0.68083700  1.0
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