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Tb3Dy2Bi2As

高熵材料 HEA

MP-ID: mp-3295228 · Space group: Pnma (#62)

Basic Information

Formula
Tb3Dy2Bi2As
MP-ID
mp-3295228
Elements
4
Sites
32
Density
9.6436
g/cm³
Volume
891.71
ų
Cell a
8.0781
Å
Cell b
9.0671
Å
Cell c
12.1745
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pnma
Point Group
mmm
Crystal System
Orthorhombic
Bravais Lattice
oP
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
13.15 6.7311 5.2 (1,0,1)
18.25 4.8615 1.6 (1,0,2)
19.58 4.5335 1.8 (0,2,0)
22.01 4.0390 2.7 (2,0,0)
23.20 3.8336 2.4 (2,0,1)
24.55 3.6263 6.0 (1,0,3)
25.22 3.5309 1.7 (2,1,1)
26.89 3.3156 5.1 (1,2,2)
28.28 3.1552 2.2 (2,1,2)
29.34 3.0436 3.0 (0,0,4)
30.54 2.9273 100.0 (2,2,1)
30.99 2.8854 1.1 (0,1,4)
31.24 2.8628 18.8 (2,0,3)
31.41 2.8482 53.3 (1,0,4)
31.59 2.8318 85.4 (1,2,3)
31.61 2.8307 14.0 (1,3,0)
32.47 2.7572 2.9 (1,3,1)
32.96 2.7173 1.4 (1,1,4)
33.09 2.7071 2.3 (0,3,2)
33.15 2.7023 44.2 (2,2,2)
34.10 2.6292 21.8 (3,0,1)
34.75 2.5813 1.5 (3,1,0)
34.96 2.5668 7.4 (1,3,2)
35.53 2.5270 21.5 (0,2,4)
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Energy Properties

Formation Energy/atom
-1.02153
eV/atom
Energy/atom
-37.19090
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-37.1909
eV/atom
Volume/atom
27.87
ų
c/a Ratio
1.5071

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0129
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000010
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Tb · 0.375
Element Family
Lanthanide
Solute Fraction
0.625
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3209
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.9819
J/mol·K
Ω Parameter
0.0000
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
11.900%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4527
smaller = more stable mixing
VEC
7.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
0.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9528
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295228
Reference Citation

The crystal structure and related material properties of Tb3Dy2Bi2As were obtained from the Materials Project database (MP-ID: mp-3295228, 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_Tb3Dy2Bi2As
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.07807377
_cell_length_b   9.06706622
_cell_length_c   12.17447059
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb3Dy2Bi2As
_chemical_formula_sum   'Tb12 Dy8 Bi8 As4'
_cell_volume   891.71215636
_cell_formula_units_Z   4
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  0.85061427  0.75000000  0.79233509  1.0
  Tb  Tb1  1  0.14938573  0.25000000  0.20766491  1.0
  Tb  Tb2  1  0.35061427  0.25000000  0.70766491  1.0
  Tb  Tb3  1  0.64938573  0.75000000  0.29233509  1.0
  Tb  Tb4  1  0.36792373  0.75000000  0.70543244  1.0
  Tb  Tb5  1  0.63207627  0.25000000  0.29456756  1.0
  Tb  Tb6  1  0.86792373  0.25000000  0.79456756  1.0
  Tb  Tb7  1  0.13207627  0.75000000  0.20543244  1.0
  Tb  Tb8  1  0.96592885  0.75000000  0.49954720  1.0
  Tb  Tb9  1  0.03407115  0.25000000  0.50045280  1.0
  Tb  Tb10  1  0.46592885  0.25000000  0.00045280  1.0
  Tb  Tb11  1  0.53407115  0.75000000  0.99954720  1.0
  Dy  Dy12  1  0.68347065  0.05368361  0.56350279  1.0
  Dy  Dy13  1  0.31652935  0.94631639  0.43649721  1.0
  Dy  Dy14  1  0.18347065  0.94631639  0.93649721  1.0
  Dy  Dy15  1  0.31652935  0.55368361  0.43649721  1.0
  Dy  Dy16  1  0.81652935  0.05368361  0.06350279  1.0
  Dy  Dy17  1  0.68347065  0.44631639  0.56350279  1.0
  Dy  Dy18  1  0.81652935  0.44631639  0.06350279  1.0
  Dy  Dy19  1  0.18347065  0.55368361  0.93649721  1.0
  Bi  Bi20  1  0.57642402  0.49063072  0.82715399  1.0
  Bi  Bi21  1  0.42357598  0.50936928  0.17284601  1.0
  Bi  Bi22  1  0.07642402  0.50936928  0.67284601  1.0
  Bi  Bi23  1  0.42357598  0.99063072  0.17284601  1.0
  Bi  Bi24  1  0.92357598  0.49063072  0.32715399  1.0
  Bi  Bi25  1  0.57642402  0.00936928  0.82715399  1.0
  Bi  Bi26  1  0.92357598  0.00936928  0.32715399  1.0
  Bi  Bi27  1  0.07642402  0.99063072  0.67284601  1.0
  As  As28  1  0.58054295  0.75000000  0.51897037  1.0
  As  As29  1  0.41945705  0.25000000  0.48102963  1.0
  As  As30  1  0.08054295  0.25000000  0.98102963  1.0
  As  As31  1  0.91945705  0.75000000  0.01897037  1.0
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