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MnFe(PO4)2

High-Entropy Materials HEA

MP-ID: mp-773671 · Space group: R3 (#146)

Basic Information

Formula
MnFe(PO4)2
MP-ID
mp-773671
Elements
4
Sites
36
Density
3.3180
g/cm³
Volume
451.50
ų
Cell a
8.5935
Å
Cell b
8.5935
Å
Cell c
8.5935
Å
α Angle
60.27
°
β Angle
60.27
°
γ Angle
60.27
°
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
20.59 4.3144 83.5 (1,0,-1)
20.67 4.2967 11.9 (2,1,1)
24.23 3.6731 100.0 (2,1,0)
25.30 3.5203 14.1 (2,0,0)
29.34 3.0445 11.0 (2,2,0)
31.97 2.7993 16.0 (2,0,-1)
32.84 2.7276 1.5 (2,1,-1)
32.84 2.7276 2.9 (2,-1,1)
32.95 2.7186 72.7 (3,2,1)
36.06 2.4909 37.6 (2,-1,-1)
36.11 2.4875 3.0 (3,1,0)
36.26 2.4773 1.1 (3,3,2)
41.88 2.1572 1.5 (2,0,-2)
42.06 2.1483 8.1 (4,2,2)
43.92 2.0616 1.8 (3,1,-1)
44.03 2.0567 1.1 (4,1,2)
44.11 2.0529 1.5 (4,3,2)
44.11 2.0529 3.0 (4,2,3)
44.65 2.0296 6.7 (3,3,0)
47.27 1.9231 28.8 (4,3,1)
49.01 1.8587 2.8 (4,1,0)
49.01 1.8587 1.4 (4,0,1)
49.56 1.8393 2.1 (2,2,-2)
49.64 1.8366 27.4 (4,2,0)
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Energy Properties

Formation Energy/atom
-2.35157
eV/atom
Energy/atom
-8.02212
eV/atom
Energy above Hull
0.0461
eV/atom
Uncorrected Energy
-7.2371
eV/atom
Volume/atom
12.54
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
27.0403
μB
Mag. Ordering
FM
Mag. Sites
6
Magnetization/Volume
0.059890
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-773671
Reference Citation

The crystal structure and related material properties of MnFe(PO4)2 were obtained from the Materials Project database (MP-ID: mp-773671, 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   8.59346222
_cell_length_b   8.59346222
_cell_length_c   8.59346206
_cell_angle_alpha   60.27252915
_cell_angle_beta   60.27252915
_cell_angle_gamma   60.27252349
_symmetry_Int_Tables_number   1
_chemical_formula_structural   MnFe(PO4)2
_chemical_formula_sum   'Mn3 Fe3 P6 O24'
_cell_volume   451.50242217
_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  0.99789500  0.99789500  0.99789500  1.0
  Mn  Mn1  1  0.14358500  0.14358500  0.14358500  1.0
  Mn  Mn2  1  0.49996800  0.49996800  0.49996800  1.0
  Fe  Fe3  1  0.64605100  0.64605100  0.64605100  1.0
  Fe  Fe4  1  0.85494100  0.85494100  0.85494100  1.0
  Fe  Fe5  1  0.35500900  0.35500900  0.35500900  1.0
  P  P6  1  0.95728500  0.25110900  0.53910800  1.0
  P  P7  1  0.53910800  0.95728500  0.25110900  1.0
  P  P8  1  0.25110900  0.53910800  0.95728500  1.0
  P  P9  1  0.75270000  0.45570200  0.04662100  1.0
  P  P10  1  0.45570200  0.04662100  0.75270000  1.0
  P  P11  1  0.04662100  0.75270000  0.45570200  1.0
  O  O12  1  0.50050000  0.11098500  0.31843400  1.0
  O  O13  1  0.31843400  0.50050000  0.11098500  1.0
  O  O14  1  0.11098500  0.31843400  0.50050000  1.0
  O  O15  1  0.94306600  0.08847600  0.73410100  1.0
  O  O16  1  0.99551100  0.18943600  0.37900600  1.0
  O  O17  1  0.76026000  0.41235000  0.55400600  1.0
  O  O18  1  0.73410100  0.94306600  0.08847600  1.0
  O  O19  1  0.55400600  0.76026000  0.41235000  1.0
  O  O20  1  0.81470100  0.61235500  0.00786600  1.0
  O  O21  1  0.41235000  0.55400600  0.76026000  1.0
  O  O22  1  0.91852600  0.25793300  0.06013300  1.0
  O  O23  1  0.61235500  0.00786600  0.81470100  1.0
  O  O24  1  0.37900600  0.99551100  0.18943600  1.0
  O  O25  1  0.08847600  0.73410100  0.94306600  1.0
  O  O26  1  0.59239800  0.43560600  0.24341600  1.0
  O  O27  1  0.18943600  0.37900600  0.99551100  1.0
  O  O28  1  0.43560600  0.24341600  0.59239800  1.0
  O  O29  1  0.25793300  0.06013300  0.91852600  1.0
  O  O30  1  0.24341600  0.59239800  0.43560600  1.0
  O  O31  1  0.00786600  0.81470100  0.61235500  1.0
  O  O32  1  0.06013400  0.91852600  0.25793300  1.0
  O  O33  1  0.88833400  0.69358300  0.48905600  1.0
  O  O34  1  0.69358300  0.48905600  0.88833400  1.0
  O  O35  1  0.48905600  0.88833400  0.69358300  1.0
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