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TbDy4Sc3Au4

High-Entropy Materials HEA

MP-ID: mp-3294830 · Space group: Pm (#6)

Basic Information

Formula
TbDy4Sc3Au4
MP-ID
mp-3294830
Elements
4
Sites
12
Density
9.8903
g/cm³
Volume
290.74
ų
Cell a
4.8055
Å
Cell b
7.0620
Å
Cell c
8.5674
Å
α Angle
90.53
°
β Angle
90.00
°
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
10.33 8.5671 3.5 (0,0,1)
12.53 7.0617 2.5 (0,1,0)
16.19 5.4740 4.8 (0,1,-1)
16.34 5.4246 1.4 (0,1,1)
18.46 4.8055 2.0 (1,0,0)
20.74 4.2835 1.4 (0,0,2)
21.20 4.1912 2.2 (1,0,1)
22.38 3.9729 2.7 (1,1,0)
24.20 3.6775 23.5 (0,1,-2)
24.40 3.6475 15.9 (0,1,2)
24.65 3.6114 28.0 (1,1,-1)
24.75 3.5971 38.3 (1,1,1)
25.22 3.5309 5.7 (0,2,0)
27.23 3.2751 1.0 (0,2,-1)
27.90 3.1976 2.6 (1,0,2)
30.61 2.9205 48.4 (1,1,-2)
30.77 2.9054 32.7 (1,1,2)
31.32 2.8557 1.6 (0,0,3)
31.44 2.8454 13.4 (1,2,0)
32.72 2.7370 24.8 (0,2,-2)
33.03 2.7123 9.0 (0,2,2)
33.10 2.7064 64.0 (1,2,-1)
33.25 2.6944 100.0 (1,2,1)
33.75 2.6560 9.3 (0,1,-3)
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Energy Properties

Formation Energy/atom
-0.73345
eV/atom
Energy/atom
-33.70753
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-33.7075
eV/atom
Volume/atom
24.23
ų
c/a Ratio
1.7828

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0037
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
Dy · 0.333
Element Family
Lanthanide
Solute Fraction
0.667
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2861
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.6923
J/mol·K
Ω Parameter
0.8274
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
8.267%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.6088
smaller = more stable mixing
VEC
8.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-20.612
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9277
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294830
Reference Citation

The crystal structure and related material properties of TbDy4Sc3Au4 were obtained from the Materials Project database (MP-ID: mp-3294830, 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_TbDy4Sc3Au4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.80553639
_cell_length_b   7.06199287
_cell_length_c   8.56744232
_cell_angle_alpha   90.52883752
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   TbDy4Sc3Au4
_chemical_formula_sum   'Tb1 Dy4 Sc3 Au4'
_cell_volume   290.73802437
_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
  Tb  Tb0  1  0.25000000  0.47708578  0.17213097  1.0
  Dy  Dy1  1  0.75000000  0.64523907  0.41743771  1.0
  Dy  Dy2  1  0.25000000  0.98980855  0.32385329  1.0
  Dy  Dy3  1  0.75000000  0.51802034  0.82171146  1.0
  Dy  Dy4  1  0.75000000  0.02152073  0.68502947  1.0
  Sc  Sc5  1  0.25000000  0.85744745  0.92602854  1.0
  Sc  Sc6  1  0.25000000  0.35646714  0.57990801  1.0
  Sc  Sc7  1  0.75000000  0.14476934  0.07729118  1.0
  Au  Au8  1  0.25000000  0.24192265  0.89539349  1.0
  Au  Au9  1  0.25000000  0.74683894  0.60936744  1.0
  Au  Au10  1  0.75000000  0.75737704  0.09069690  1.0
  Au  Au11  1  0.75000000  0.24350197  0.40115255  1.0
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