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MnCo(PO4)2

High-Entropy Materials HEA

MP-ID: mp-771988 · Space group: R3 (#146)

Basic Information

Formula
MnCo(PO4)2
MP-ID
mp-771988
Elements
4
Sites
36
Density
3.4532
g/cm³
Volume
438.28
ų
Cell a
8.4536
Å
Cell b
8.4536
Å
Cell c
8.4536
Å
α Angle
61.16
°
β Angle
61.16
°
γ Angle
61.16
°
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
14.70 6.0280 3.2 (1,1,0)
20.65 4.3004 93.6 (1,0,-1)
21.02 4.2255 10.4 (2,1,1)
24.45 3.6409 100.0 (2,1,0)
25.44 3.5008 18.4 (2,0,0)
29.64 3.0140 10.0 (2,2,0)
32.09 2.7891 17.2 (2,0,-1)
32.99 2.7149 7.1 (2,1,-1)
33.47 2.6771 69.7 (3,2,1)
36.18 2.4828 41.1 (2,-1,-1)
36.40 2.4682 2.5 (3,1,0)
37.06 2.4257 2.2 (3,3,2)
38.79 2.3217 1.6 (3,2,0)
42.02 2.1502 1.9 (2,0,-2)
42.80 2.1128 11.0 (4,2,2)
44.15 2.0513 2.6 (3,1,-1)
44.62 2.0307 1.4 (4,2,1)
44.99 2.0147 3.0 (4,2,3)
44.99 2.0147 1.5 (4,3,2)
45.12 2.0093 6.1 (3,3,0)
47.98 1.8963 34.9 (4,3,1)
49.39 1.8453 4.7 (4,1,0)
49.77 1.8322 1.6 (2,2,-2)
50.11 1.8204 26.4 (4,2,0)
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Energy Properties

Formation Energy/atom
-2.18163
eV/atom
Energy/atom
-7.74080
eV/atom
Energy above Hull
0.1006
eV/atom
Uncorrected Energy
-7.0073
eV/atom
Volume/atom
12.17
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
20.6728
μB
Mag. Ordering
FM
Mag. Sites
6
Magnetization/Volume
0.047170
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
1.6874
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
34.956%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.7177
smaller = more stable mixing
VEC
4.833
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-1.760
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7091
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (3)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-771988
Reference Citation

The crystal structure and related material properties of MnCo(PO4)2 were obtained from the Materials Project database (MP-ID: mp-771988, 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_MnCo(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.45358973
_cell_length_b   8.45358973
_cell_length_c   8.45358984
_cell_angle_alpha   61.15500619
_cell_angle_beta   61.15500619
_cell_angle_gamma   61.15500733
_symmetry_Int_Tables_number   1
_chemical_formula_structural   MnCo(PO4)2
_chemical_formula_sum   'Mn3 Co3 P6 O24'
_cell_volume   438.27953450
_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  0.35808900  0.35808900  0.35808900  1.0
  Mn  Mn1  1  0.14177700  0.14177700  0.14177700  1.0
  Mn  Mn2  1  0.64262300  0.64262300  0.64262300  1.0
  Co  Co3  1  0.99743900  0.99743900  0.99743900  1.0
  Co  Co4  1  0.85676000  0.85676000  0.85676000  1.0
  Co  Co5  1  0.50071500  0.50071500  0.50071500  1.0
  P  P6  1  0.45509400  0.75025100  0.04279100  1.0
  P  P7  1  0.75025100  0.04279100  0.45509400  1.0
  P  P8  1  0.04279100  0.45509400  0.75025100  1.0
  P  P9  1  0.95986600  0.54176000  0.25116900  1.0
  P  P10  1  0.25116900  0.95986600  0.54176000  1.0
  P  P11  1  0.54176000  0.25116900  0.95986600  1.0
  O  O12  1  0.68881500  0.88351900  0.48899900  1.0
  O  O13  1  0.88351900  0.48899900  0.68881500  1.0
  O  O14  1  0.48899900  0.68881500  0.88351900  1.0
  O  O15  1  0.25273300  0.90835300  0.06142700  1.0
  O  O16  1  0.61181200  0.81344400  0.01229300  1.0
  O  O17  1  0.43945100  0.58599800  0.24376200  1.0
  O  O18  1  0.90835300  0.06142700  0.25273300  1.0
  O  O19  1  0.58599800  0.24376200  0.43945100  1.0
  O  O20  1  0.99262900  0.38492600  0.18629300  1.0
  O  O21  1  0.24376200  0.43945100  0.58599800  1.0
  O  O22  1  0.94295100  0.74223900  0.09332700  1.0
  O  O23  1  0.18629300  0.99262900  0.38492600  1.0
  O  O24  1  0.81344400  0.01229300  0.61181200  1.0
  O  O25  1  0.06142700  0.25273300  0.90835300  1.0
  O  O26  1  0.76077700  0.55437400  0.41383400  1.0
  O  O27  1  0.01229300  0.61181200  0.81344400  1.0
  O  O28  1  0.41383400  0.76077700  0.55437400  1.0
  O  O29  1  0.09332700  0.94295100  0.74223900  1.0
  O  O30  1  0.55437400  0.41383400  0.76077700  1.0
  O  O31  1  0.38492600  0.18629300  0.99262900  1.0
  O  O32  1  0.74223900  0.09332700  0.94295100  1.0
  O  O33  1  0.50243300  0.31777200  0.11948100  1.0
  O  O34  1  0.11948100  0.50243300  0.31777200  1.0
  O  O35  1  0.31777200  0.11948100  0.50243300  1.0
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