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Zr9ScO20

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-674976 · Space group: P1 (#1)

Basic Information

Formula
Zr9ScO20
MP-ID
mp-674976
Elements
3
Sites
30
Density
5.6689
g/cm³
Volume
347.39
ų
Cell a
6.3860
Å
Cell b
7.3599
Å
Cell c
8.1260
Å
α Angle
77.10
°
β Angle
75.37
°
γ Angle
72.19
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
aP
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
11.40 7.7632 1.9 (0,0,1)
12.79 6.9188 1.7 (0,1,0)
14.87 5.9589 1.3 (1,0,0)
15.75 5.6268 1.2 (0,1,1)
16.86 5.2583 1.2 (1,0,1)
16.87 5.2543 1.2 (1,1,0)
18.48 4.8012 1.0 (0,1,-1)
24.76 3.5954 1.0 (1,0,2)
29.86 2.9925 100.0 (1,2,2)
29.86 2.9920 99.9 (1,0,-2)
29.90 2.9888 99.8 (0,2,-1)
29.91 2.9872 99.6 (2,0,1)
34.13 2.6271 31.2 (2,2,0)
34.84 2.5754 25.3 (1,-2,-1)
34.95 2.5672 25.0 (1,0,3)
42.43 2.1305 1.2 (2,3,2)
42.44 2.1301 1.2 (2,1,-2)
42.45 2.1293 1.3 (1,3,-1)
42.48 2.1282 1.4 (3,1,1)
49.55 1.8396 39.1 (1,4,1)
49.58 1.8386 38.9 (3,0,-1)
49.65 1.8363 38.8 (1,2,-3)
49.66 1.8359 38.7 (3,2,3)
50.12 1.8201 40.1 (0,2,4)
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Energy Properties

Formation Energy/atom
-3.69517
eV/atom
Energy/atom
-9.76920
eV/atom
Energy above Hull
0.0678
eV/atom
Uncorrected Energy
-9.3112
eV/atom
Volume/atom
11.58
ų
c/a Ratio
1.2725

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.9263
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.002670
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.667
Element Family
Metalloid-Nonmetal
Solute Fraction
0.333
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.7449
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
6.1929
J/mol·K
Ω Parameter
10.2109
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
50.574%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.9933
smaller = more stable mixing
VEC
3.967
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-0.446
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6780
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
A
Score
0.621
Family
O-rich Multi-Component
Matrix Element
O · 0.667

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-674976
Reference Citation

The crystal structure and related material properties of Zr9ScO20 were obtained from the Materials Project database (MP-ID: mp-674976, 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_Zr9ScO20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.38604300
_cell_length_b   7.35989203
_cell_length_c   8.12595694
_cell_angle_alpha   77.10475125
_cell_angle_beta   75.36839551
_cell_angle_gamma   72.19285739
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Zr9ScO20
_chemical_formula_sum   'Zr9 Sc1 O20'
_cell_volume   347.39292106
_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  0.99942700  0.00172200  0.99865300  1.0
  Zr  Zr1  1  0.39985400  0.59888800  0.20174100  1.0
  Zr  Zr2  1  0.00009700  0.49851900  0.99492600  1.0
  Zr  Zr3  1  0.80029000  0.20018100  0.40250100  1.0
  Zr  Zr4  1  0.39804100  0.10066900  0.20561000  1.0
  Zr  Zr5  1  0.20067500  0.80023900  0.59933000  1.0
  Zr  Zr6  1  0.80615200  0.69604500  0.40025900  1.0
  Zr  Zr7  1  0.60102900  0.39924300  0.79770500  1.0
  Zr  Zr8  1  0.59423500  0.90431500  0.79930600  1.0
  Sc  Sc9  1  0.20055200  0.29999800  0.59964700  1.0
  O  O10  1  0.37533600  0.91741300  0.04360600  1.0
  O  O11  1  0.77572300  0.51772300  0.23949700  1.0
  O  O12  1  0.32278400  0.38239700  0.05975000  1.0
  O  O13  1  0.02361100  0.18308100  0.15865800  1.0
  O  O14  1  0.17238200  0.11521200  0.44365800  1.0
  O  O15  1  0.42646100  0.78307700  0.35854200  1.0
  O  O16  1  0.72623300  0.98163300  0.25806100  1.0
  O  O17  1  0.57625900  0.71731100  0.64060300  1.0
  O  O18  1  0.07624200  0.71718000  0.14084400  1.0
  O  O19  1  0.82220900  0.38845100  0.55542900  1.0
  O  O20  1  0.12952600  0.58418200  0.45728300  1.0
  O  O21  1  0.47814500  0.31438400  0.33808700  1.0
  O  O22  1  0.97342300  0.31463100  0.84130600  1.0
  O  O23  1  0.22858500  0.97828400  0.76121700  1.0
  O  O24  1  0.52743000  0.18543200  0.65739100  1.0
  O  O25  1  0.87441600  0.91577400  0.54187600  1.0
  O  O26  1  0.62281200  0.58288300  0.95806600  1.0
  O  O27  1  0.92154200  0.78473100  0.85873000  1.0
  O  O28  1  0.27282900  0.51944200  0.74584900  1.0
  O  O29  1  0.67369100  0.11696400  0.94186500  1.0
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