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Zr10In3Bi3As2

High-Entropy Materials HEA

MP-ID: mp-3292597 · Space group: P-62m (#189)

Basic Information

Formula
Zr10In3Bi3As2
MP-ID
mp-3292597
Elements
4
Sites
18
Density
8.4948
g/cm³
Volume
397.50
ų
Cell a
8.7439
Å
Cell b
8.7439
Å
Cell c
6.0033
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-62m
Point Group
-6m2
Crystal System
Hexagonal
Bravais Lattice
hP
Stability
Yes
Packing Fraction
0.7405

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
11.69 7.5725 1.5 (1,0,-1,0)
11.69 7.5725 1.5 (0,1,-1,0)
11.69 7.5725 1.5 (1,-1,0,0)
14.76 6.0033 17.8 (0,0,0,1)
18.86 4.7043 1.8 (1,0,-1,1)
20.31 4.3720 6.3 (1,1,-2,0)
20.31 4.3720 6.3 (2,-1,-1,0)
20.31 4.3720 6.3 (1,-2,1,0)
23.50 3.7862 8.9 (2,0,-2,0)
23.50 3.7862 8.9 (0,2,-2,0)
23.50 3.7862 8.9 (2,-2,0,0)
25.20 3.5341 19.4 (1,1,-2,1)
25.20 3.5341 19.4 (2,-1,-1,1)
25.20 3.5341 19.4 (1,-2,1,1)
27.86 3.2025 4.5 (2,0,-2,1)
27.86 3.2025 4.5 (0,2,-2,1)
27.86 3.2025 4.5 (2,-2,0,1)
29.76 3.0017 62.2 (0,0,0,2)
31.25 2.8621 4.6 (2,1,-3,0)
31.25 2.8621 4.7 (1,2,-3,0)
31.25 2.8621 4.7 (3,-1,-2,0)
31.25 2.8621 4.6 (3,-2,-1,0)
31.25 2.8621 4.6 (1,-3,2,0)
31.25 2.8621 4.7 (2,-3,1,0)
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Energy Properties

Formation Energy/atom
-0.70086
eV/atom
Energy/atom
-28.48728
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-28.4873
eV/atom
Volume/atom
22.08
ų
c/a Ratio
0.6866

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0021
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000010
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Zr · 0.556
Element Family
4d-TM
Solute Fraction
0.444
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1679
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.7102
J/mol·K
Ω Parameter
1.5860
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
9.465%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3354
smaller = more stable mixing
VEC
3.889
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-8.974
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8425
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292597
Reference Citation

The crystal structure and related material properties of Zr10In3Bi3As2 were obtained from the Materials Project database (MP-ID: mp-3292597, 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_Zr10In3Bi3As2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.74392425
_cell_length_b   8.74391734
_cell_length_c   6.00331874
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99991728
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Zr10In3Bi3As2
_chemical_formula_sum   'Zr10 In3 Bi3 As2'
_cell_volume   397.49788897
_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
  Zr  Zr0  1  0.73733264  0.00000261  0.25000000  1.0
  Zr  Zr1  1  0.99999870  0.73733113  0.25000000  1.0
  Zr  Zr2  1  0.26266952  0.26267079  0.25000000  1.0
  Zr  Zr3  1  0.25286583  0.99999092  0.75000000  1.0
  Zr  Zr4  1  0.00001029  0.25287821  0.75000000  1.0
  Zr  Zr5  1  0.74712546  0.74713546  0.75000000  1.0
  Zr  Zr6  1  0.33333094  0.66666324  0.49380818  1.0
  Zr  Zr7  1  0.66666772  0.33333112  0.49380509  1.0
  Zr  Zr8  1  0.66666772  0.33333112  0.00619491  1.0
  Zr  Zr9  1  0.33333094  0.66666324  0.00619182  1.0
  In  In10  1  0.39120683  0.00001152  0.25000000  1.0
  In  In11  1  0.99998378  0.39119640  0.25000000  1.0
  In  In12  1  0.60880925  0.60879135  0.25000000  1.0
  Bi  Bi13  1  0.59850103  0.99998051  0.75000000  1.0
  Bi  Bi14  1  0.00001490  0.59851961  0.75000000  1.0
  Bi  Bi15  1  0.40148248  0.40149577  0.75000000  1.0
  As  As16  1  0.00000098  0.00000350  0.49494381  1.0
  As  As17  1  0.00000098  0.00000350  0.00505619  1.0
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