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Er20TcBi8Pt3

High-Entropy Materials HEA

MP-ID: mp-3292179 · Space group: Pm (#6)

Basic Information

Formula
Er20TcBi8Pt3
MP-ID
mp-3292179
Elements
4
Sites
32
Density
10.8525
g/cm³
Volume
872.20
ų
Cell a
7.9397
Å
Cell b
8.9571
Å
Cell c
12.2645
Å
α Angle
90.00
°
β Angle
90.35
°
γ Angle
90.00
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
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
7.21 12.2643 1.1 (0,0,1)
14.44 6.1322 2.2 (0,0,2)
14.91 5.9415 5.9 (1,1,0)
18.23 4.8674 2.0 (1,0,-2)
20.77 4.2768 1.8 (1,1,-2)
20.86 4.2574 1.6 (1,1,2)
22.40 3.9698 12.8 (2,0,0)
23.51 3.7836 1.2 (2,0,-1)
23.60 3.7702 2.4 (2,0,1)
23.92 3.7205 6.3 (1,2,-1)
23.96 3.7141 4.9 (1,2,1)
24.43 3.6436 12.5 (1,0,-3)
24.55 3.6257 13.4 (1,0,3)
24.61 3.6167 3.9 (0,2,2)
27.06 3.2957 14.6 (1,2,-2)
27.13 3.2869 7.5 (1,2,2)
28.51 3.1309 3.8 (2,1,-2)
28.65 3.1157 2.2 (2,1,2)
29.12 3.0661 9.1 (0,0,4)
30.82 2.9008 1.8 (0,1,4)
30.94 2.8902 100.0 (2,2,-1)
31.01 2.8842 89.8 (2,2,1)
31.21 2.8661 51.0 (1,0,-4)
31.31 2.8566 18.2 (2,0,-3)
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Energy Properties

Formation Energy/atom
-0.85688
eV/atom
Energy/atom
-42.32422
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-42.3242
eV/atom
Volume/atom
27.26
ų
c/a Ratio
1.5447

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
3.1853
μB
Mag. Ordering
FM
Mag. Sites
18
Magnetization/Volume
0.003650
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Er · 0.625
Element Family
Lanthanide
Solute Fraction
0.375
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9705
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.0691
J/mol·K
Ω Parameter
25.8585
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
7.534%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4112
smaller = more stable mixing
VEC
9.844
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.477
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7001
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292179
Reference Citation

The crystal structure and related material properties of Er20TcBi8Pt3 were obtained from the Materials Project database (MP-ID: mp-3292179, 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_Er20TcBi8Pt3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.93969760
_cell_length_b   8.95712732
_cell_length_c   12.26453348
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.34702191
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Er20TcBi8Pt3
_chemical_formula_sum   'Er20 Tc1 Bi8 Pt3'
_cell_volume   872.19938557
_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
  Er  Er0  1  0.66986164  0.75000000  0.71559929  1.0
  Er  Er1  1  0.33491232  0.25000000  0.28969975  1.0
  Er  Er2  1  0.16100162  0.25000000  0.79163760  1.0
  Er  Er3  1  0.84125752  0.75000000  0.20422685  1.0
  Er  Er4  1  0.12461370  0.75000000  0.80506428  1.0
  Er  Er5  1  0.87471522  0.25000000  0.19563113  1.0
  Er  Er6  1  0.62886644  0.25000000  0.69506641  1.0
  Er  Er7  1  0.37285909  0.75000000  0.30624465  1.0
  Er  Er8  1  0.54866307  0.75000000  0.99757955  1.0
  Er  Er9  1  0.44463892  0.25000000  0.00123964  1.0
  Er  Er10  1  0.05220389  0.25000000  0.49897702  1.0
  Er  Er11  1  0.94539727  0.75000000  0.49973562  1.0
  Er  Er12  1  0.82516735  0.46252397  0.93582867  1.0
  Er  Er13  1  0.17559137  0.54793490  0.06510613  1.0
  Er  Er14  1  0.32263204  0.54281950  0.56803889  1.0
  Er  Er15  1  0.17559137  0.95206510  0.06510613  1.0
  Er  Er16  1  0.67676319  0.45648863  0.43315083  1.0
  Er  Er17  1  0.82516735  0.03747603  0.93582867  1.0
  Er  Er18  1  0.67676319  0.04351137  0.43315083  1.0
  Er  Er19  1  0.32263204  0.95718050  0.56803889  1.0
  Tc  Tc20  1  0.92126555  0.75000000  0.98411665  1.0
  Bi  Bi21  1  0.93385435  0.01069004  0.67114077  1.0
  Bi  Bi22  1  0.06722859  0.98952196  0.32799563  1.0
  Bi  Bi23  1  0.43347419  0.99271194  0.82607030  1.0
  Bi  Bi24  1  0.06722859  0.51047804  0.32799563  1.0
  Bi  Bi25  1  0.56619703  0.00932378  0.17255946  1.0
  Bi  Bi26  1  0.93385435  0.48930996  0.67114077  1.0
  Bi  Bi27  1  0.56619703  0.49067622  0.17255946  1.0
  Bi  Bi28  1  0.43347419  0.50728806  0.82607030  1.0
  Pt  Pt29  1  0.07839700  0.25000000  0.01269108  1.0
  Pt  Pt30  1  0.42677051  0.25000000  0.50986951  1.0
  Pt  Pt31  1  0.57276201  0.75000000  0.49284262  1.0
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