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Sc6Co17P12Ru

High-Entropy Materials HEA

MP-ID: mp-3294402 · Space group: Pmm2 (#25)

Basic Information

Formula
Sc6Co17P12Ru
MP-ID
mp-3294402
Elements
4
Sites
36
Density
6.6164
g/cm³
Volume
437.79
ų
Cell a
3.5859
Å
Cell b
10.2903
Å
Cell c
11.8643
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pmm2
Point Group
mm2
Crystal System
Orthorhombic
Bravais Lattice
oP
Stability
Yes
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
7.45 11.8643 13.1 (0,0,1)
8.59 10.2903 1.2 (0,1,0)
11.38 7.7737 17.6 (0,1,1)
14.93 5.9322 2.8 (0,0,2)
18.80 4.7204 7.1 (0,2,1)
22.48 3.9548 5.5 (0,0,3)
22.88 3.8869 5.4 (0,2,2)
25.96 3.4325 1.2 (1,0,1)
26.32 3.3861 2.1 (1,1,0)
29.10 3.0688 1.0 (1,0,2)
30.09 2.9694 4.6 (0,3,2)
30.13 2.9661 1.8 (0,0,4)
33.74 2.6565 2.6 (1,0,3)
34.02 2.6356 3.7 (1,2,2)
34.62 2.5912 1.9 (0,3,3)
34.88 2.5726 1.6 (0,4,0)
37.05 2.4263 1.9 (1,3,1)
37.92 2.3729 1.5 (0,0,5)
38.13 2.3604 2.7 (1,2,3)
38.13 2.3602 1.7 (0,4,2)
38.95 2.3122 2.8 (0,1,5)
39.40 2.2871 100.0 (1,3,2)
39.43 2.2855 38.9 (1,0,4)
40.19 2.2436 4.6 (0,3,4)
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Energy Properties

Formation Energy/atom
-0.90485
eV/atom
Energy/atom
-12.76103
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-12.7610
eV/atom
Volume/atom
12.16
ų
c/a Ratio
3.3087

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
3.4419
μB
Mag. Ordering
FiM
Mag. Sites
12
Magnetization/Volume
0.007860
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Co · 0.472
Element Family
3d-TM
Solute Fraction
0.528
Interstitial Fraction
0.333

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1187
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.3007
J/mol·K
Ω Parameter
0.5291
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
13.779%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2816
smaller = more stable mixing
VEC
6.639
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-23.125
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8070
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294402
Reference Citation

The crystal structure and related material properties of Sc6Co17P12Ru were obtained from the Materials Project database (MP-ID: mp-3294402, 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_Sc6Co17P12Ru
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.58584761
_cell_length_b   10.29026808
_cell_length_c   11.86433947
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Sc6Co17P12Ru
_chemical_formula_sum   'Sc6 Co17 P12 Ru1'
_cell_volume   437.78621548
_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
  Sc  Sc0  1  0.00000000  0.50000000  0.52807216  1.0
  Sc  Sc1  1  0.50000000  0.00000000  0.47553244  1.0
  Sc  Sc2  1  0.50000000  0.81971404  0.20745215  1.0
  Sc  Sc3  1  0.50000000  0.18028596  0.20745215  1.0
  Sc  Sc4  1  0.00000000  0.68116551  0.79275535  1.0
  Sc  Sc5  1  0.00000000  0.31883449  0.79275535  1.0
  Co  Co6  1  0.00000000  0.00000000  0.84044641  1.0
  Co  Co7  1  0.50000000  0.50000000  0.70229095  1.0
  Co  Co8  1  0.00000000  0.00000000  0.29739911  1.0
  Co  Co9  1  0.00000000  0.50000000  0.98796429  1.0
  Co  Co10  1  0.50000000  0.00000000  0.01325939  1.0
  Co  Co11  1  0.50000000  0.33212508  0.99070317  1.0
  Co  Co12  1  0.50000000  0.66787492  0.99070317  1.0
  Co  Co13  1  0.00000000  0.16692159  0.00642497  1.0
  Co  Co14  1  0.00000000  0.83307841  0.00642497  1.0
  Co  Co15  1  0.50000000  0.29840100  0.43087336  1.0
  Co  Co16  1  0.50000000  0.70159900  0.43087336  1.0
  Co  Co17  1  0.00000000  0.20262372  0.56690211  1.0
  Co  Co18  1  0.00000000  0.79737628  0.56690211  1.0
  Co  Co19  1  0.50000000  0.87705169  0.70734742  1.0
  Co  Co20  1  0.50000000  0.12294831  0.70734742  1.0
  Co  Co21  1  0.00000000  0.62311847  0.29310603  1.0
  Co  Co22  1  0.00000000  0.37688153  0.29310603  1.0
  P  P23  1  0.50000000  0.50000000  0.87875737  1.0
  P  P24  1  0.00000000  0.00000000  0.12061554  1.0
  P  P25  1  0.50000000  0.50000000  0.35655602  1.0
  P  P26  1  0.00000000  0.00000000  0.65003783  1.0
  P  P27  1  0.50000000  0.31416165  0.61770984  1.0
  P  P28  1  0.50000000  0.68583835  0.61770984  1.0
  P  P29  1  0.00000000  0.18418990  0.38240704  1.0
  P  P30  1  0.00000000  0.81581010  0.38240704  1.0
  P  P31  1  0.50000000  0.84561528  0.88927912  1.0
  P  P32  1  0.50000000  0.15438472  0.88927912  1.0
  P  P33  1  0.00000000  0.65850547  0.10898628  1.0
  P  P34  1  0.00000000  0.34149453  0.10898628  1.0
  Ru  Ru35  1  0.50000000  0.50000000  0.16117685  1.0
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