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Pr5(CoB3)2

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-7735 · Space group: R-3m (#166)

Basic Information

Formula
Pr5(CoB3)2
MP-ID
mp-7735
Elements
3
Sites
13
Density
6.7985
g/cm³
Volume
216.72
ų
Cell a
8.9697
Å
Cell b
8.9697
Å
Cell c
8.9697
Å
α Angle
35.43
°
β Angle
35.43
°
γ Angle
35.43
°
Space Group
R-3m
Point Group
-3m
Crystal System
Trigonal
Bravais Lattice
hR
Stability
No
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
21.16 4.1989 31.4 (2,2,2)
23.53 3.7809 4.7 (2,1,1)
23.53 3.7809 9.4 (1,2,1)
25.84 3.4476 35.7 (2,2,1)
31.23 2.8636 60.7 (3,2,2)
31.97 2.7993 3.0 (3,3,3)
32.81 2.7294 100.0 (1,0,-1)
32.81 2.7294 50.0 (0,1,-1)
34.21 2.6209 32.5 (3,3,2)
34.55 2.5958 1.9 (2,1,0)
39.37 2.2884 37.8 (3,2,1)
39.37 2.2884 18.9 (2,3,1)
40.77 2.2130 2.3 (2,0,2)
40.77 2.2130 1.2 (2,2,0)
42.23 2.1400 3.2 (3,1,1)
42.23 2.1400 6.5 (1,3,1)
43.09 2.0995 14.3 (4,4,4)
43.93 2.0612 3.0 (4,4,3)
45.93 1.9757 13.8 (3,1,3)
45.93 1.9757 6.9 (3,3,1)
46.47 1.9542 9.9 (4,3,2)
46.47 1.9542 2.0 (3,4,2)
48.13 1.8905 4.1 (4,2,2)
48.13 1.8905 8.1 (2,4,2)
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Energy Properties

Formation Energy/atom
-0.38243
eV/atom
Energy/atom
-6.40709
eV/atom
Energy above Hull
0.0032
eV/atom
Uncorrected Energy
-17.1235
eV/atom
Volume/atom
16.67
ų
c/a Ratio
1.0000

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.0000
μB
Mag. Ordering
Unknown
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
B · 0.462
Element Family
Metalloid-Nonmetal
Solute Fraction
0.538
Interstitial Fraction
0.462

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0123
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.4165
J/mol·K
Ω Parameter
1.1990
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
33.059%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4267
smaller = more stable mixing
VEC
3.923
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-12.781
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9215
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
C
Score
0.445
Family
B-rich Multi-Component
Matrix Element
B · 0.462

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-7735
Reference Citation

The crystal structure and related material properties of Pr5(CoB3)2 were obtained from the Materials Project database (MP-ID: mp-7735, 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_Pr5(CoB3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.96971496
_cell_length_b   8.96971446
_cell_length_c   8.96971458
_cell_angle_alpha   35.43122106
_cell_angle_beta   35.43122532
_cell_angle_gamma   35.43123025
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Pr5(CoB3)2
_chemical_formula_sum   'Pr5 Co2 B6'
_cell_volume   216.71831307
_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
  Pr  Pr0  1  0.58250067  0.58250067  0.58250067  1.0
  Pr  Pr1  1  0.41749933  0.41749933  0.41749933  1.0
  Pr  Pr2  1  0.74968978  0.74968978  0.74968978  1.0
  Pr  Pr3  1  0.25031022  0.25031022  0.25031022  1.0
  Pr  Pr4  1  0.00000000  0.00000000  -0.00000000  1.0
  Co  Co5  1  0.87569118  0.87569118  0.87569118  1.0
  Co  Co6  1  0.12430882  0.12430882  0.12430882  1.0
  B  B7  1  0.83357559  0.50000000  0.16642441  1.0
  B  B8  1  0.50000000  0.16642441  0.83357559  1.0
  B  B9  1  0.16642441  0.83357559  0.50000000  1.0
  B  B10  1  0.16642441  0.50000000  0.83357559  1.0
  B  B11  1  0.50000000  0.83357559  0.16642441  1.0
  B  B12  1  0.83357559  0.16642441  0.50000000  1.0
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