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ZrCoP3Ru4

高熵材料 HEA

MP-ID: mp-3294918 · Space group: Pnma (#62)

Basic Information

Formula
ZrCoP3Ru4
MP-ID
mp-3294918
Elements
4
Sites
36
Density
8.9089
g/cm³
Volume
482.65
ų
Cell a
3.7939
Å
Cell b
10.4976
Å
Cell c
12.1188
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pnma
Point Group
mmm
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
14.62 6.0594 1.4 (0,0,2)
16.89 5.2488 1.3 (0,2,0)
18.42 4.8165 4.1 (0,2,1)
27.74 3.2156 4.0 (1,0,2)
29.48 3.0302 13.3 (0,3,2)
29.48 3.0297 6.7 (0,0,4)
29.98 2.9803 9.4 (1,2,1)
32.66 2.7419 1.4 (1,2,2)
34.88 2.5722 3.1 (1,3,0)
34.98 2.5649 2.6 (0,4,1)
36.73 2.4466 8.3 (1,2,3)
37.34 2.4082 1.1 (0,4,2)
38.00 2.3677 100.0 (1,3,2)
38.01 2.3674 50.2 (1,0,4)
38.11 2.3616 2.2 (0,1,5)
39.00 2.3094 10.0 (1,1,4)
39.34 2.2905 7.9 (0,3,4)
41.01 2.2007 1.1 (0,4,3)
41.02 2.2005 1.5 (0,2,5)
42.55 2.1249 6.3 (1,4,1)
43.76 2.0687 8.2 (0,5,1)
44.88 2.0198 5.1 (0,0,6)
45.53 1.9925 1.4 (0,3,5)
45.74 1.9837 1.3 (0,4,4)
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Energy Properties

Formation Energy/atom
-0.82458
eV/atom
Energy/atom
-19.12329
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-19.1233
eV/atom
Volume/atom
13.41
ų
c/a Ratio
3.1943

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
1.7523
μB
Mag. Ordering
FM
Mag. Sites
8
Magnetization/Volume
0.003630
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ru · 0.444
Element Family
4d-TM
Solute Fraction
0.556
Interstitial Fraction
0.333
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2149
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.1006
J/mol·K
Ω Parameter
1.6612
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
12.082%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2777
smaller = more stable mixing
VEC
6.667
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-10.320
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8764
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294918
Reference Citation

The crystal structure and related material properties of ZrCoP3Ru4 were obtained from the Materials Project database (MP-ID: mp-3294918, 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_ZrCoP3Ru4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.79385932
_cell_length_b   10.49758645
_cell_length_c   12.11876639
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   ZrCoP3Ru4
_chemical_formula_sum   'Zr4 Co4 P12 Ru16'
_cell_volume   482.64642824
_cell_formula_units_Z   4
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
  Zr  Zr0  1  0.25000000  0.58420106  0.70564730  1.0
  Zr  Zr1  1  0.25000000  0.91579894  0.20564730  1.0
  Zr  Zr2  1  0.75000000  0.41579894  0.29435270  1.0
  Zr  Zr3  1  0.75000000  0.08420106  0.79435270  1.0
  Co  Co4  1  0.25000000  0.46258238  0.93689970  1.0
  Co  Co5  1  0.25000000  0.03741762  0.43689970  1.0
  Co  Co6  1  0.75000000  0.53741762  0.06310030  1.0
  Co  Co7  1  0.75000000  0.96258238  0.56310030  1.0
  P  P8  1  0.25000000  0.42410604  0.11050363  1.0
  P  P9  1  0.25000000  0.07589396  0.61050363  1.0
  P  P10  1  0.75000000  0.57589396  0.88949637  1.0
  P  P11  1  0.75000000  0.92410604  0.38949637  1.0
  P  P12  1  0.25000000  0.26928882  0.86816421  1.0
  P  P13  1  0.25000000  0.23071118  0.36816421  1.0
  P  P14  1  0.75000000  0.73071118  0.13183579  1.0
  P  P15  1  0.75000000  0.76928882  0.63183579  1.0
  P  P16  1  0.25000000  0.59854524  0.39068922  1.0
  P  P17  1  0.25000000  0.90145476  0.89068922  1.0
  P  P18  1  0.75000000  0.40145476  0.60931078  1.0
  P  P19  1  0.75000000  0.09854524  0.10931078  1.0
  Ru  Ru20  1  0.25000000  0.70962625  0.98776630  1.0
  Ru  Ru21  1  0.25000000  0.79037375  0.48776630  1.0
  Ru  Ru22  1  0.75000000  0.29037375  0.01223370  1.0
  Ru  Ru23  1  0.75000000  0.20962625  0.51223370  1.0
  Ru  Ru24  1  0.25000000  0.40501278  0.48233066  1.0
  Ru  Ru25  1  0.25000000  0.09498722  0.98233066  1.0
  Ru  Ru26  1  0.75000000  0.59498722  0.51766934  1.0
  Ru  Ru27  1  0.75000000  0.90501278  0.01766934  1.0
  Ru  Ru28  1  0.25000000  0.22964273  0.17782699  1.0
  Ru  Ru29  1  0.25000000  0.27035727  0.67782699  1.0
  Ru  Ru30  1  0.75000000  0.77035727  0.82217301  1.0
  Ru  Ru31  1  0.75000000  0.72964273  0.32217301  1.0
  Ru  Ru32  1  0.25000000  0.88995504  0.70061310  1.0
  Ru  Ru33  1  0.25000000  0.61004496  0.20061310  1.0
  Ru  Ru34  1  0.75000000  0.11004496  0.29938690  1.0
  Ru  Ru35  1  0.75000000  0.38995504  0.79938690  1.0
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