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Ce2Nd3P12Ru19

高熵材料 HEA

MP-ID: mp-3293633 · Space group: P-62m (#189)

Basic Information

Formula
Ce2Nd3P12Ru19
MP-ID
mp-3293633
Elements
4
Sites
36
Density
9.1649
g/cm³
Volume
544.46
ų
Cell a
12.5351
Å
Cell b
12.5351
Å
Cell c
4.0011
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-62m
Point Group
-6m2
Crystal System
Hexagonal
Bravais Lattice
hP
Stability
Yes
Packing Fraction
0.7405

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
23.70 3.7542 1.8 (1,0,-1,1)
26.43 3.3725 4.5 (2,-1,-1,1)
28.48 3.1338 16.4 (4,-2,-2,0)
29.67 3.0108 1.5 (4,-1,-3,0)
31.22 2.8646 7.5 (3,-1,-2,1)
33.39 2.6838 4.3 (3,0,-3,1)
36.06 2.4905 5.2 (5,-2,-3,0)
36.42 2.4671 100.0 (4,-2,-2,1)
37.38 2.4058 26.5 (4,-1,-3,1)
37.98 2.3689 11.1 (5,-1,-4,0)
40.15 2.2460 1.6 (4,0,-4,1)
41.60 2.1711 7.0 (5,0,-5,0)
43.31 2.0892 3.6 (6,-3,-3,0)
44.14 2.0515 3.8 (6,-2,-4,0)
44.44 2.0384 5.2 (5,-1,-4,1)
45.33 2.0006 24.1 (0,0,0,2)
46.58 1.9497 9.6 (6,-1,-5,0)
47.66 1.9083 8.1 (5,0,-5,1)
49.20 1.8519 3.1 (6,-3,-3,1)
50.44 1.8093 4.4 (6,0,-6,0)
50.44 1.8093 8.8 (6,-6,0,0)
51.19 1.7847 4.3 (7,-3,-4,0)
52.19 1.7527 1.1 (6,-5,-1,1)
54.41 1.6863 5.6 (4,-2,-2,2)
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Energy Properties

Formation Energy/atom
-0.91436
eV/atom
Energy/atom
-21.49842
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-21.4984
eV/atom
Volume/atom
15.12
ų
c/a Ratio
0.3192

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.2531
μB
Mag. Ordering
FM
Mag. Sites
2
Magnetization/Volume
0.000460
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ru · 0.528
Element Family
4d-TM
Solute Fraction
0.472
Interstitial Fraction
0.333
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0711
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.9055
J/mol·K
Ω Parameter
1.5254
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
17.661%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3681
smaller = more stable mixing
VEC
6.306
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-9.628
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7727
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293633
Reference Citation

The crystal structure and related material properties of Ce2Nd3P12Ru19 were obtained from the Materials Project database (MP-ID: mp-3293633, 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_Ce2Nd3P12Ru19
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.53505933
_cell_length_b   12.53505885
_cell_length_c   4.00111338
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999868
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ce2Nd3P12Ru19
_chemical_formula_sum   'Ce2 Nd3 P12 Ru19'
_cell_volume   544.45785338
_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
  Ce  Ce0  1  0.33333300  0.66666700  0.00000000  1.0
  Ce  Ce1  1  0.66666700  0.33333300  0.00000000  1.0
  Nd  Nd2  1  0.18494378  0.18494378  0.50000000  1.0
  Nd  Nd3  1  0.81505622  1.00000000  0.50000000  1.0
  Nd  Nd4  1  0.00000000  0.81505622  0.50000000  1.0
  P  P5  1  0.81220706  0.81220706  0.00000000  1.0
  P  P6  1  0.18779294  1.00000000  0.00000000  1.0
  P  P7  1  1.00000000  0.18779294  0.00000000  1.0
  P  P8  1  0.17228699  0.47560895  0.50000000  1.0
  P  P9  1  0.52439105  0.69667904  0.50000000  1.0
  P  P10  1  0.30332096  0.82771301  0.50000000  1.0
  P  P11  1  0.69667904  0.52439105  0.50000000  1.0
  P  P12  1  0.82771301  0.30332096  0.50000000  1.0
  P  P13  1  0.47560895  0.17228699  0.50000000  1.0
  P  P14  1  0.37439419  0.37439419  0.00000000  1.0
  P  P15  1  0.62560581  0.00000000  0.00000000  1.0
  P  P16  1  0.00000000  0.62560581  0.00000000  1.0
  Ru  Ru17  1  0.55403943  0.55403943  0.00000000  1.0
  Ru  Ru18  1  0.44596057  1.00000000  0.00000000  1.0
  Ru  Ru19  1  1.00000000  0.44596057  0.00000000  1.0
  Ru  Ru20  1  0.71488349  0.71488349  0.50000000  1.0
  Ru  Ru21  1  0.28511651  1.00000000  0.50000000  1.0
  Ru  Ru22  1  1.00000000  0.28511651  0.50000000  1.0
  Ru  Ru23  1  0.18501283  0.38000259  0.00000000  1.0
  Ru  Ru24  1  0.61999741  0.80501024  0.00000000  1.0
  Ru  Ru25  1  0.19498976  0.81498717  0.00000000  1.0
  Ru  Ru26  1  0.80501024  0.61999741  0.00000000  1.0
  Ru  Ru27  1  0.81498717  0.19498976  0.00000000  1.0
  Ru  Ru28  1  0.38000259  0.18501283  0.00000000  1.0
  Ru  Ru29  1  0.36844020  0.49461261  0.50000000  1.0
  Ru  Ru30  1  0.50538739  0.87382759  0.50000000  1.0
  Ru  Ru31  1  0.12617241  0.63155980  0.50000000  1.0
  Ru  Ru32  1  0.87382759  0.50538739  0.50000000  1.0
  Ru  Ru33  1  0.63155980  0.12617241  0.50000000  1.0
  Ru  Ru34  1  0.49461261  0.36844020  0.50000000  1.0
  Ru  Ru35  1  0.00000000  0.00000000  0.00000000  1.0
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