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Nd6Cr5P12Rh13

高熵材料 HEA

MP-ID: mp-3293659 · Space group: Pm (#6)

Basic Information

Formula
Nd6Cr5P12Rh13
MP-ID
mp-3293659
Elements
4
Sites
36
Density
8.2750
g/cm³
Volume
568.88
ų
Cell a
3.9168
Å
Cell b
11.2563
Å
Cell c
12.9031
Å
α Angle
90.01
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
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
6.85 12.9031 8.5 (0,0,1)
7.85 11.2563 1.1 (0,1,0)
10.43 8.4827 1.3 (0,1,-1)
15.75 5.6282 4.0 (0,2,0)
15.83 5.5976 2.0 (0,1,-2)
24.06 3.6992 3.9 (1,1,0)
25.04 3.5560 2.4 (1,1,-1)
25.04 3.5560 2.5 (1,1,1)
26.62 3.3481 2.9 (1,0,2)
27.50 3.2436 9.4 (0,3,-2)
27.50 3.2433 11.7 (0,3,2)
27.65 3.2258 16.7 (0,0,4)
28.61 3.1196 13.7 (1,2,-1)
28.62 3.1195 8.9 (1,2,1)
28.79 3.1010 1.2 (0,1,-4)
28.79 3.1009 2.0 (0,1,4)
30.88 2.8959 4.6 (1,0,3)
31.64 2.8276 4.6 (0,3,-3)
31.65 2.8273 4.3 (0,3,3)
31.91 2.8046 7.9 (1,1,-3)
31.91 2.8045 6.9 (1,1,3)
32.57 2.7495 5.6 (0,4,-1)
32.57 2.7494 5.5 (0,4,1)
33.06 2.7095 1.8 (1,3,0)
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Energy Properties

Formation Energy/atom
-1.07319
eV/atom
Energy/atom
-19.78627
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-19.7863
eV/atom
Volume/atom
15.80
ų
c/a Ratio
3.2943

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
10.8319
μB
Mag. Ordering
FiM
Mag. Sites
9
Magnetization/Volume
0.019040
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Rh · 0.361
Element Family
4d-TM
Solute Fraction
0.639
Interstitial Fraction
0.333
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3068
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.8649
J/mol·K
Ω Parameter
0.6956
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
18.784%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4231
smaller = more stable mixing
VEC
6.250
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-22.375
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9427
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293659
Reference Citation

The crystal structure and related material properties of Nd6Cr5P12Rh13 were obtained from the Materials Project database (MP-ID: mp-3293659, 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_Nd6Cr5P12Rh13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.91678076
_cell_length_b   11.25632289
_cell_length_c   12.90308110
_cell_angle_alpha   90.00584526
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Nd6Cr5P12Rh13
_chemical_formula_sum   'Nd6 Cr5 P12 Rh13'
_cell_volume   568.87811918
_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
  Nd  Nd0  1  0.00000000  0.50118812  0.52082300  1.0
  Nd  Nd1  1  0.50000000  0.99855820  0.47949532  1.0
  Nd  Nd2  1  0.50000000  0.81977260  0.20329510  1.0
  Nd  Nd3  1  0.50000000  0.17816519  0.20654623  1.0
  Nd  Nd4  1  0.00000000  0.67942817  0.79543819  1.0
  Nd  Nd5  1  0.00000000  0.32167820  0.79307792  1.0
  Cr  Cr6  1  0.50000000  0.50005055  0.16108991  1.0
  Cr  Cr7  1  0.00000000  0.00029953  0.83842763  1.0
  Cr  Cr8  1  0.00000000  0.49881714  0.99163874  1.0
  Cr  Cr9  1  0.50000000  0.00186246  0.01034076  1.0
  Cr  Cr10  1  0.50000000  0.33217079  0.99857244  1.0
  P  P11  1  0.50000000  0.49590055  0.88597164  1.0
  P  P12  1  0.00000000  0.00087680  0.11553729  1.0
  P  P13  1  0.50000000  0.50041858  0.34788165  1.0
  P  P14  1  0.00000000  0.99929549  0.65175635  1.0
  P  P15  1  0.50000000  0.31051861  0.61563498  1.0
  P  P16  1  0.50000000  0.68899543  0.61627378  1.0
  P  P17  1  0.00000000  0.18948482  0.38408371  1.0
  P  P18  1  0.00000000  0.81077562  0.38281170  1.0
  P  P19  1  0.50000000  0.84645809  0.89342168  1.0
  P  P20  1  0.50000000  0.15688505  0.89126653  1.0
  P  P21  1  0.00000000  0.65259749  0.10551802  1.0
  P  P22  1  0.00000000  0.34779428  0.10921722  1.0
  Rh  Rh23  1  0.50000000  0.49975554  0.70082412  1.0
  Rh  Rh24  1  0.00000000  0.00095290  0.29938371  1.0
  Rh  Rh25  1  0.50000000  0.66254303  0.99683879  1.0
  Rh  Rh26  1  0.00000000  0.16855845  0.00326777  1.0
  Rh  Rh27  1  0.00000000  0.83657706  0.00285163  1.0
  Rh  Rh28  1  0.50000000  0.29314439  0.43055133  1.0
  Rh  Rh29  1  0.50000000  0.70712338  0.42956079  1.0
  Rh  Rh30  1  0.00000000  0.20675506  0.56913844  1.0
  Rh  Rh31  1  0.00000000  0.79214281  0.56933164  1.0
  Rh  Rh32  1  0.50000000  0.87518626  0.71051278  1.0
  Rh  Rh33  1  0.50000000  0.12327541  0.70904671  1.0
  Rh  Rh34  1  0.00000000  0.62468488  0.28832047  1.0
  Rh  Rh35  1  0.00000000  0.37730705  0.29225200  1.0
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