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ZrSnRh

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-1080815 · Space group: P-62m (#189)

Basic Information

Formula
ZrSnRh
MP-ID
mp-1080815
Elements
3
Sites
9
Density
9.0803
g/cm³
Volume
171.63
ų
Cell a
7.3462
Å
Cell b
7.3462
Å
Cell c
3.6723
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
No
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
13.92 6.3620 2.7 (1,0,-1,0)
24.23 3.6731 2.4 (2,-1,-1,0)
24.23 3.6731 1.2 (1,1,-2,0)
24.24 3.6723 6.3 (0,0,0,1)
28.06 3.1805 2.9 (1,0,-1,1)
34.54 2.5970 100.0 (2,-1,-1,1)
37.40 2.4046 43.2 (3,-1,-2,0)
37.40 2.4044 26.4 (2,-2,0,1)
37.40 2.4044 52.7 (2,0,-2,1)
42.63 2.1207 55.6 (3,0,-3,0)
45.07 2.0117 12.8 (3,-2,-1,1)
45.07 2.0117 25.7 (3,-1,-2,1)
49.64 1.8366 2.1 (4,-2,-2,0)
49.64 1.8365 1.2 (3,-3,0,1)
49.64 1.8365 2.3 (3,0,-3,1)
49.65 1.8362 24.2 (0,0,0,2)
51.81 1.7645 2.6 (4,-3,-1,0)
51.81 1.7645 5.2 (4,-1,-3,0)
55.98 1.6426 5.9 (4,-2,-2,1)
57.99 1.5905 4.1 (4,0,-4,0)
57.99 1.5904 4.5 (4,-1,-3,1)
63.77 1.4595 4.9 (5,-2,-3,0)
63.77 1.4595 1.1 (4,-4,0,1)
63.77 1.4595 2.1 (4,0,-4,1)
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Energy Properties

Formation Energy/atom
-0.75426
eV/atom
Energy/atom
-7.39478
eV/atom
Energy above Hull
0.0171
eV/atom
Uncorrected Energy
-24.7035
eV/atom
Volume/atom
19.07
ų
c/a Ratio
0.4999

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

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Zr · 0.333
Element Family
4d-TM
Solute Fraction
0.667
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0986
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.1339
J/mol·K
Ω Parameter
0.3703
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
7.268%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3947
smaller = more stable mixing
VEC
5.667
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-40.043
kJ/mol; negative = exothermic mixing
Entropy Norm
1.0000
SS Former
0
Phase Tendency
AM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
C
Score
0.583
Family
Zr-rich Multi-Component
Matrix Element
Zr · 0.333

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1080815
Reference Citation

The crystal structure and related material properties of ZrSnRh were obtained from the Materials Project database (MP-ID: mp-1080815, 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_ZrSnRh
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.34618425
_cell_length_b   7.34618425
_cell_length_c   3.67230916
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000782
_symmetry_Int_Tables_number   1
_chemical_formula_structural   ZrSnRh
_chemical_formula_sum   'Zr3 Sn3 Rh3'
_cell_volume   171.63010437
_cell_formula_units_Z   3
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  0.39758255  0.39758255  0.50000000  1.0
  Zr  Zr1  1  0.60241745  0.00000000  0.50000000  1.0
  Zr  Zr2  1  0.00000000  0.60241745  0.50000000  1.0
  Sn  Sn3  1  0.73292118  0.73292118  -0.00000000  1.0
  Sn  Sn4  1  0.26707882  0.00000000  0.00000000  1.0
  Sn  Sn5  1  0.00000000  0.26707882  0.00000000  1.0
  Rh  Rh6  1  0.66666700  0.33333300  0.00000000  1.0
  Rh  Rh7  1  0.33333300  0.66666700  -0.00000000  1.0
  Rh  Rh8  1  0.00000000  -0.00000000  0.50000000  1.0
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