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Nd12Si8IrRh11

高熵材料 HEA

MP-ID: mp-3293403 · Space group: Pm (#6)

Basic Information

Formula
Nd12Si8IrRh11
MP-ID
mp-3293403
Elements
4
Sites
32
Density
8.2446
g/cm³
Volume
660.58
ų
Cell a
5.7436
Å
Cell b
7.7346
Å
Cell c
14.8698
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.03
°
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
5.94 14.8698 4.6 (0,0,1)
11.44 7.7346 1.3 (0,1,0)
12.90 6.8618 1.9 (0,1,1)
16.55 5.3578 6.8 (1,0,1)
19.24 4.6123 1.5 (1,-1,0)
19.25 4.6101 2.9 (1,1,0)
22.69 3.9194 2.5 (1,-1,2)
22.70 3.9180 5.0 (1,1,2)
23.71 3.7525 14.1 (1,0,3)
23.77 3.7428 11.5 (0,2,1)
23.94 3.7175 4.3 (0,0,4)
25.97 3.4309 14.8 (0,2,2)
26.40 3.3766 2.1 (1,-1,3)
26.40 3.3757 1.9 (1,1,3)
27.80 3.2086 6.8 (1,-2,0)
27.82 3.2072 4.6 (1,2,0)
28.46 3.1364 22.0 (1,-2,1)
28.47 3.1351 15.1 (1,2,1)
29.29 3.0490 11.2 (0,2,3)
30.34 2.9460 2.4 (1,-2,2)
30.35 2.9449 1.3 (1,2,2)
30.89 2.8944 51.0 (1,-1,4)
30.90 2.8938 56.9 (1,1,4)
31.14 2.8718 2.7 (2,0,0)
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Energy Properties

Formation Energy/atom
-0.99387
eV/atom
Energy/atom
-24.15212
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-24.1521
eV/atom
Volume/atom
20.64
ų
c/a Ratio
2.5890

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0024
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Nd · 0.375
Element Family
Lanthanide
Solute Fraction
0.625
Interstitial Fraction
0.250
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1898
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.8917
J/mol·K
Ω Parameter
0.4725
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
19.281%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4980
smaller = more stable mixing
VEC
5.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-36.905
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8582
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293403
Reference Citation

The crystal structure and related material properties of Nd12Si8IrRh11 were obtained from the Materials Project database (MP-ID: mp-3293403, 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_Nd12Si8IrRh11
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.74355138
_cell_length_b   7.73457674
_cell_length_c   14.86981979
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.02819093
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Nd12Si8IrRh11
_chemical_formula_sum   'Nd12 Si8 Ir1 Rh11'
_cell_volume   660.57588640
_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  0.14183343  0.47290408  0.89169746  1.0
  Nd  Nd1  1  0.35848596  0.97272655  0.89142602  1.0
  Nd  Nd2  1  0.61359580  0.33406093  0.75000000  1.0
  Nd  Nd3  1  0.38899916  0.66836618  0.25000000  1.0
  Nd  Nd4  1  0.64076838  0.02854861  0.39155376  1.0
  Nd  Nd5  1  0.85880368  0.52633760  0.10860389  1.0
  Nd  Nd6  1  0.85880368  0.52633760  0.39139611  1.0
  Nd  Nd7  1  0.35848596  0.97272655  0.60857398  1.0
  Nd  Nd8  1  0.88662076  0.83422004  0.75000000  1.0
  Nd  Nd9  1  0.14183343  0.47290408  0.60830254  1.0
  Nd  Nd10  1  0.64076838  0.02854861  0.10844624  1.0
  Nd  Nd11  1  0.10437887  0.16617931  0.25000000  1.0
  Si  Si12  1  0.36672237  0.37270871  0.09910033  1.0
  Si  Si13  1  0.63545071  0.62704599  0.90331052  1.0
  Si  Si14  1  0.86478986  0.12763054  0.90329090  1.0
  Si  Si15  1  0.36672237  0.37270871  0.40089967  1.0
  Si  Si16  1  0.86478986  0.12763054  0.59670910  1.0
  Si  Si17  1  0.63545071  0.62704599  0.59668948  1.0
  Si  Si18  1  0.13454287  0.87287742  0.40265400  1.0
  Si  Si19  1  0.13454287  0.87287742  0.09734600  1.0
  Ir  Ir20  1  0.57379708  0.31990271  0.25000000  1.0
  Rh  Rh21  1  0.60042434  0.33817809  0.96268633  1.0
  Rh  Rh22  1  0.39569017  0.66030936  0.03781761  1.0
  Rh  Rh23  1  0.39569017  0.66030936  0.46218239  1.0
  Rh  Rh24  1  0.07100205  0.17982367  0.75000000  1.0
  Rh  Rh25  1  0.10672061  0.16082528  0.46280168  1.0
  Rh  Rh26  1  0.42911268  0.67926285  0.75000000  1.0
  Rh  Rh27  1  0.92812392  0.81993723  0.25000000  1.0
  Rh  Rh28  1  0.10672061  0.16082528  0.03719832  1.0
  Rh  Rh29  1  0.60042434  0.33817809  0.53731367  1.0
  Rh  Rh30  1  0.89795196  0.83903131  0.53748218  1.0
  Rh  Rh31  1  0.89795196  0.83903131  0.96251782  1.0
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