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Tb4Er(SiB4)2

High-Entropy Materials HEA

MP-ID: mp-3294523 · Space group: P4/mbm (#127)

Basic Information

Formula
Tb4Er(SiB4)2
MP-ID
mp-3294523
Elements
4
Sites
30
Density
7.4053
g/cm³
Volume
424.09
ų
Cell a
7.2375
Å
Cell b
7.2375
Å
Cell c
8.0962
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P4/mbm
Point Group
4/mmm
Crystal System
Tetragonal
Bravais Lattice
tP
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
10.93 8.0962 2.5 (0,0,1)
17.33 5.1177 1.3 (1,1,0)
20.53 4.3259 16.4 (1,1,1)
21.96 4.0481 20.5 (0,0,2)
24.60 3.6187 12.0 (2,0,0)
26.99 3.3037 21.4 (2,0,1)
27.56 3.2367 66.8 (2,1,0)
28.11 3.1749 23.5 (1,1,2)
29.73 3.0054 6.6 (2,1,1)
33.20 2.6987 15.7 (0,0,3)
33.21 2.6979 87.8 (2,0,2)
35.07 2.5588 22.2 (2,2,0)
35.51 2.5280 100.0 (2,1,2)
36.84 2.4399 3.5 (2,2,1)
37.68 2.3872 1.8 (1,1,3)
39.37 2.2887 35.9 (3,1,0)
40.98 2.2024 6.9 (3,1,1)
41.76 2.1630 1.5 (2,2,2)
43.67 2.0728 7.7 (2,1,3)
44.78 2.0241 17.8 (0,0,4)
45.17 2.0073 3.6 (3,2,0)
45.53 1.9923 1.1 (3,1,2)
49.06 1.8569 8.9 (2,2,3)
51.75 1.7665 1.9 (2,0,4)
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Energy Properties

Formation Energy/atom
-0.76327
eV/atom
Energy/atom
-16.43991
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-16.4399
eV/atom
Volume/atom
14.14
ų
c/a Ratio
1.1187

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0118
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000030
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
B · 0.533
Element Family
Metalloid-Nonmetal
Solute Fraction
0.467
Interstitial Fraction
0.667

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1369
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.4523
J/mol·K
Ω Parameter
6.0572
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
31.612%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4205
smaller = more stable mixing
VEC
5.333
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-3.171
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8201
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294523
Reference Citation

The crystal structure and related material properties of Tb4Er(SiB4)2 were obtained from the Materials Project database (MP-ID: mp-3294523, 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_Tb4Er(SiB4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.23745952
_cell_length_b   7.23745952
_cell_length_c   8.09622233
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb4Er(SiB4)2
_chemical_formula_sum   'Tb8 Er2 Si4 B16'
_cell_volume   424.08676731
_cell_formula_units_Z   2
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  0.68066004  0.18066004  0.22503482  1.0
  Tb  Tb1  1  0.31933996  0.81933996  0.77496518  1.0
  Tb  Tb2  1  0.31933996  0.81933996  0.22503482  1.0
  Tb  Tb3  1  0.81933996  0.68066004  0.22503482  1.0
  Tb  Tb4  1  0.81933996  0.68066004  0.77496518  1.0
  Tb  Tb5  1  0.68066004  0.18066004  0.77496518  1.0
  Tb  Tb6  1  0.18066004  0.31933996  0.77496518  1.0
  Tb  Tb7  1  0.18066004  0.31933996  0.22503482  1.0
  Er  Er8  1  0.00000000  0.00000000  0.50000000  1.0
  Er  Er9  1  0.50000000  0.50000000  0.50000000  1.0
  Si  Si10  1  0.11520821  0.61520821  0.50000000  1.0
  Si  Si11  1  0.88479179  0.38479179  0.50000000  1.0
  Si  Si12  1  0.38479179  0.11520821  0.50000000  1.0
  Si  Si13  1  0.61520821  0.88479179  0.50000000  1.0
  B  B14  1  0.17190170  0.03928820  0.00000000  1.0
  B  B15  1  0.82809830  0.96071180  0.00000000  1.0
  B  B16  1  0.96071180  0.17190170  0.00000000  1.0
  B  B17  1  0.32809830  0.53928820  0.00000000  1.0
  B  B18  1  0.03928820  0.82809830  0.00000000  1.0
  B  B19  1  0.67190170  0.46071180  0.00000000  1.0
  B  B20  1  0.53928820  0.67190170  0.00000000  1.0
  B  B21  1  0.46071180  0.32809830  0.00000000  1.0
  B  B22  1  0.09099422  0.59099422  0.00000000  1.0
  B  B23  1  0.90900578  0.40900578  0.00000000  1.0
  B  B24  1  0.40900578  0.09099422  0.00000000  1.0
  B  B25  1  0.59099422  0.90900578  0.00000000  1.0
  B  B26  1  0.00000000  0.00000000  0.16170799  1.0
  B  B27  1  0.00000000  0.00000000  0.83829201  1.0
  B  B28  1  0.50000000  0.50000000  0.83829201  1.0
  B  B29  1  0.50000000  0.50000000  0.16170799  1.0
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