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Pa2Mn2Pb

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-3253043 · Space group: Cmmm (#65)

Basic Information

Formula
Pa2Mn2Pb
MP-ID
mp-3253043
Elements
3
Sites
5
Density
12.8961
g/cm³
Volume
100.33
ų
Cell a
7.8820
Å
Cell b
7.8820
Å
Cell c
3.5922
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
153.29
°
Space Group
Cmmm
Point Group
mmm
Crystal System
Orthorhombic
Bravais Lattice
oC
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
11.54 7.6688 1.1 (1,-1,0)
23.20 3.8344 7.4 (2,-2,0)
24.79 3.5922 4.1 (0,0,1)
27.42 3.2530 30.2 (1,-1,1)
30.13 2.9662 82.7 (2,-1,0)
34.20 2.6215 59.8 (2,-2,1)
35.11 2.5563 47.6 (3,-3,0)
35.59 2.5226 100.0 (1,0,1)
38.37 2.3462 5.2 (2,-3,0)
38.37 2.3462 5.2 (3,-2,0)
39.39 2.2872 33.2 (2,-1,1)
46.22 1.9643 20.6 (3,-2,1)
47.42 1.9172 1.5 (4,-4,0)
48.49 1.8775 1.9 (3,-4,0)
48.49 1.8775 1.9 (4,-3,0)
50.10 1.8209 21.6 (1,1,0)
50.84 1.7961 20.7 (0,0,2)
55.20 1.6639 41.1 (4,-3,1)
56.58 1.6265 1.3 (2,-2,2)
56.67 1.6242 1.1 (1,1,1)
58.05 1.5889 4.1 (0,2,1)
58.05 1.5889 4.1 (2,0,1)
59.93 1.5435 8.9 (5,-4,0)
60.23 1.5364 12.7 (1,-2,2)
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Energy Properties

Formation Energy/atom
-0.03456
eV/atom
Energy/atom
-47.90733
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-47.9073
eV/atom
Volume/atom
20.07
ų
c/a Ratio
0.4558

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
1.0668
μB
Mag. Ordering
FiM
Mag. Sites
4
Magnetization/Volume
0.010630
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pa · 0.400
Element Family
Actinide
Solute Fraction
0.600
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0549
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.7706
J/mol·K
Ω Parameter
2.4357
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
15.979%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3228
smaller = more stable mixing
VEC
6.000
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
5.272
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9602
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.468
Family
Pa-rich Multi-Component
Matrix Element
Pa · 0.400

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3253043
Reference Citation

The crystal structure and related material properties of Pa2Mn2Pb were obtained from the Materials Project database (MP-ID: mp-3253043, 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_Pa2Mn2Pb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.88197421
_cell_length_b   7.88197463
_cell_length_c   3.59223783
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   153.28539910
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Pa2Mn2Pb
_chemical_formula_sum   'Pa2 Mn2 Pb1'
_cell_volume   100.32516580
_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
  Pa  Pa0  1  0.65272442  0.34727558  0.50000000  1.0
  Pa  Pa1  1  0.34727558  0.65272442  0.50000000  1.0
  Mn  Mn2  1  0.81962766  0.18037234  0.00000000  1.0
  Mn  Mn3  1  0.18037234  0.81962766  0.00000000  1.0
  Pb  Pb4  1  0.00000000  0.00000000  0.00000000  1.0
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