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HoPa9(Sn3As)2

High-Entropy Materials HEA

MP-ID: mp-3292527 · Space group: Amm2 (#38)

Basic Information

Formula
HoPa9(Sn3As)2
MP-ID
mp-3292527
Elements
4
Sites
18
Density
11.2509
g/cm³
Volume
458.47
ų
Cell a
9.1954
Å
Cell b
9.2626
Å
Cell c
6.2308
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.24
°
Space Group
Amm2
Point Group
mm2
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
11.06 8.0020 1.0 (1,-1,0)
11.14 7.9439 1.5 (1,0,0)
19.16 4.6313 2.1 (1,-2,0)
19.31 4.5975 2.3 (2,-1,0)
22.22 4.0010 5.9 (2,-2,0)
22.38 3.9720 4.2 (2,0,0)
23.94 3.7170 5.9 (1,-2,1)
24.06 3.6995 8.7 (2,-1,1)
28.65 3.1154 10.4 (0,0,2)
29.47 3.0308 9.6 (2,-3,0)
29.63 3.0150 6.5 (3,-2,0)
29.72 3.0056 10.2 (3,-1,0)
30.80 2.9032 10.7 (1,-1,2)
30.83 2.9004 4.5 (1,0,2)
32.86 2.7255 33.1 (2,-3,1)
33.00 2.7140 36.5 (3,-2,1)
33.09 2.7071 31.1 (3,-1,1)
33.60 2.6673 75.8 (3,-3,0)
33.85 2.6480 36.7 (3,0,0)
34.70 2.5850 46.7 (1,-2,2)
34.78 2.5791 100.0 (2,-1,2)
36.56 2.4581 1.6 (2,-2,2)
39.19 2.2988 2.1 (4,-2,0)
43.21 2.0938 4.6 (3,-4,1)
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Energy Properties

Formation Energy/atom
-0.55908
eV/atom
Energy/atom
-50.69673
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-50.6967
eV/atom
Volume/atom
25.47
ų
c/a Ratio
0.6776

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
6.1834
μB
Mag. Ordering
FM
Mag. Sites
9
Magnetization/Volume
0.013490
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pa · 0.500
Element Family
Actinide
Solute Fraction
0.500
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1175
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.2908
J/mol·K
Ω Parameter
0.0000
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
13.121%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2832
smaller = more stable mixing
VEC
4.556
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8061
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292527
Reference Citation

The crystal structure and related material properties of HoPa9(Sn3As)2 were obtained from the Materials Project database (MP-ID: mp-3292527, 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_HoPa9(Sn3As)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.19537407
_cell_length_b   9.26260603
_cell_length_c   6.23082189
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.24215914
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HoPa9(Sn3As)2
_chemical_formula_sum   'Ho1 Pa9 Sn6 As2'
_cell_volume   458.47286403
_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
  Ho  Ho0  1  0.00000000  0.73806083  0.25000000  1.0
  Pa  Pa1  1  0.66297694  0.32778220  0.99882539  1.0
  Pa  Pa2  1  0.33702306  0.66480527  0.99882539  1.0
  Pa  Pa3  1  0.33702306  0.66480527  0.50117461  1.0
  Pa  Pa4  1  0.66297694  0.32778220  0.50117461  1.0
  Pa  Pa5  1  0.73626672  0.73713398  0.75000000  1.0
  Pa  Pa6  1  0.26373328  0.00086626  0.75000000  1.0
  Pa  Pa7  1  1.00000000  0.26732140  0.75000000  1.0
  Pa  Pa8  1  0.26868633  0.26774967  0.25000000  1.0
  Pa  Pa9  1  0.73131367  0.99906234  0.25000000  1.0
  Sn  Sn10  1  0.38606926  0.38461803  0.75000000  1.0
  Sn  Sn11  1  0.61393074  0.99854877  0.75000000  1.0
  Sn  Sn12  1  0.00000000  0.61616760  0.75000000  1.0
  Sn  Sn13  1  0.62004685  0.61584985  0.25000000  1.0
  Sn  Sn14  1  0.37995315  0.99580300  0.25000000  1.0
  Sn  Sn15  1  0.00000000  0.38829263  0.25000000  1.0
  As  As16  1  0.00000000  0.00267534  0.00131499  1.0
  As  As17  1  0.00000000  0.00267534  0.49868501  1.0
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