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PrB2IrRh

高熵材料 HEA

MP-ID: mp-3250551 · Space group: F222 (#22)

Basic Information

Formula
PrB2IrRh
MP-ID
mp-3250551
Elements
4
Sites
10
Density
10.0888
g/cm³
Volume
150.65
ų
Cell a
7.0224
Å
Cell b
6.0653
Å
Cell c
5.6050
Å
α Angle
73.87
°
β Angle
56.07
°
γ Angle
50.06
°
Space Group
F222
Point Group
222
Crystal System
Orthorhombic
Bravais Lattice
oF
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
18.93 4.6873 7.8 (1,0,1)
19.24 4.6131 17.0 (1,0,0)
25.52 3.4903 13.5 (0,1,-1)
29.06 3.0733 2.8 (0,1,1)
31.00 2.8851 100.0 (2,1,0)
33.29 2.6917 2.8 (1,-1,1)
33.83 2.6495 10.3 (1,2,1)
34.30 2.6145 4.8 (2,2,0)
34.91 2.5701 95.5 (1,-1,0)
38.41 2.3437 38.0 (2,0,2)
39.46 2.2833 1.2 (1,2,-1)
39.46 2.2833 1.2 (3,2,1)
41.50 2.1762 38.0 (0,2,-1)
41.50 2.1762 12.7 (3,2,2)
45.55 1.9914 1.7 (2,3,1)
46.18 1.9659 1.8 (0,2,1)
46.90 1.9374 20.8 (3,2,0)
48.87 1.8636 1.5 (2,-1,1)
49.75 1.8328 7.2 (3,1,0)
49.75 1.8328 2.4 (3,3,2)
51.72 1.7676 1.0 (2,-1,2)
52.10 1.7554 2.2 (1,-2,1)
52.10 1.7554 2.2 (1,0,3)
52.43 1.7452 3.8 (0,2,-2)
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Energy Properties

Formation Energy/atom
-0.79387
eV/atom
Energy/atom
-24.91232
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-24.9123
eV/atom
Volume/atom
15.07
ų
c/a Ratio
0.7982

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0000
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
B · 0.400
Element Family
Metalloid-Nonmetal
Solute Fraction
0.600
Interstitial Fraction
0.400
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3322
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
11.0757
J/mol·K
Ω Parameter
2.5218
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
27.799%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4146
smaller = more stable mixing
VEC
5.400
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-9.559
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9610
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3250551
Reference Citation

The crystal structure and related material properties of PrB2IrRh were obtained from the Materials Project database (MP-ID: mp-3250551, 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_PrB2IrRh
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.02238334
_cell_length_b   6.06529601
_cell_length_c   5.60498374
_cell_angle_alpha   73.86959071
_cell_angle_beta   56.06858749
_cell_angle_gamma   50.06183250
_symmetry_Int_Tables_number   1
_chemical_formula_structural   PrB2IrRh
_chemical_formula_sum   'Pr2 B4 Ir2 Rh2'
_cell_volume   150.65218219
_cell_formula_units_Z   2
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
  Pr  Pr0  1  0.50000000  0.50000000  0.50000000  1.0
  Pr  Pr1  1  0.75000000  0.75000000  0.75000000  1.0
  B  B2  1  0.18142313  0.81857687  0.18142313  1.0
  B  B3  1  0.07357881  0.42642119  0.07357881  1.0
  B  B4  1  0.81857687  0.18142313  0.81857687  1.0
  B  B5  1  0.42642119  0.07357881  0.42642119  1.0
  Ir  Ir6  1  0.38189933  0.38189933  0.11810067  1.0
  Ir  Ir7  1  0.11810067  0.11810067  0.38189933  1.0
  Rh  Rh8  1  0.86943092  0.86943092  0.13056908  1.0
  Rh  Rh9  1  0.13056908  0.13056908  0.86943092  1.0
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