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Tb10Nd7Er3Si16

High-Entropy Materials HEA

MP-ID: mp-3294388 · Space group: P1 (#1)

Basic Information

Formula
Tb10Nd7Er3Si16
MP-ID
mp-3294388
Elements
4
Sites
36
Density
6.8137
g/cm³
Volume
865.18
ų
Cell a
7.7583
Å
Cell b
7.7613
Å
Cell c
14.3683
Å
α Angle
89.98
°
β Angle
89.94
°
γ Angle
90.08
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
aP
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
12.96 6.8299 6.6 (0,1,1)
12.96 6.8297 6.1 (1,0,1)
12.97 6.8276 5.0 (0,1,-1)
12.97 6.8237 4.9 (1,0,-1)
16.14 5.4909 2.8 (1,-1,0)
16.17 5.4831 3.5 (1,1,0)
16.81 5.2740 1.9 (1,0,2)
16.81 5.2733 1.3 (0,1,2)
16.82 5.2711 1.3 (0,1,-2)
16.83 5.2685 1.6 (1,0,-2)
20.35 4.3635 9.8 (1,-1,2)
20.36 4.3616 11.0 (1,-1,-2)
20.36 4.3608 11.3 (1,1,2)
20.39 4.3565 10.7 (1,1,-2)
22.92 3.8807 10.2 (0,2,0)
22.93 3.8792 9.9 (2,0,0)
23.75 3.7468 16.8 (0,2,1)
23.75 3.7460 18.7 (2,0,1)
23.75 3.7460 18.4 (0,2,-1)
23.76 3.7441 17.9 (2,0,-1)
24.66 3.6101 18.6 (1,-1,3)
24.67 3.6089 18.6 (1,1,3)
24.67 3.6085 19.7 (1,-1,-3)
24.69 3.6053 20.5 (1,1,-3)
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Energy Properties

Formation Energy/atom
-0.84340
eV/atom
Energy/atom
-21.96415
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-21.9642
eV/atom
Volume/atom
24.03
ų
c/a Ratio
1.8520

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
2.9349
μB
Mag. Ordering
FM
Mag. Sites
19
Magnetization/Volume
0.003390
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Si · 0.444
Element Family
Metalloid-Nonmetal
Solute Fraction
0.556
Interstitial Fraction
0.444

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2417
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.3237
J/mol·K
Ω Parameter
1.3447
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
20.352%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3818
smaller = more stable mixing
VEC
5.861
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-12.319
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8957
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294388
Reference Citation

The crystal structure and related material properties of Tb10Nd7Er3Si16 were obtained from the Materials Project database (MP-ID: mp-3294388, 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_Tb10Nd7Er3Si16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.75830905
_cell_length_b   7.76131004
_cell_length_c   14.36825397
_cell_angle_alpha   89.97653312
_cell_angle_beta   89.94036573
_cell_angle_gamma   90.08150063
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tb10Nd7Er3Si16
_chemical_formula_sum   'Tb10 Nd7 Er3 Si16'
_cell_volume   865.17785068
_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  0.49033963  0.36355471  0.12482455  1.0
  Tb  Tb1  1  0.99014824  0.13445168  0.62477555  1.0
  Tb  Tb2  1  0.86397631  0.00987548  0.87485533  1.0
  Tb  Tb3  1  0.13500718  0.99097363  0.37481788  1.0
  Tb  Tb4  1  0.51190776  0.63714374  0.62370126  1.0
  Tb  Tb5  1  0.36343977  0.49003882  0.87571162  1.0
  Tb  Tb6  1  0.63709114  0.51091090  0.37565674  1.0
  Tb  Tb7  1  0.00880281  0.86350992  0.12608588  1.0
  Tb  Tb8  1  0.63459242  0.99501811  0.45474955  1.0
  Tb  Tb9  1  0.31636869  0.31628478  0.49984983  1.0
  Nd  Nd10  1  0.36148769  0.00780022  0.95698806  1.0
  Nd  Nd11  1  0.99186041  0.63936289  0.54222967  1.0
  Nd  Nd12  1  0.49157945  0.86107079  0.20776280  1.0
  Nd  Nd13  1  0.50912169  0.13713099  0.70624230  1.0
  Nd  Nd14  1  0.86183762  0.49115355  0.79322362  1.0
  Nd  Nd15  1  0.13765757  0.50864955  0.29343912  1.0
  Nd  Nd16  1  0.00764972  0.36184839  0.04369913  1.0
  Er  Er17  1  0.18466412  0.81536165  0.74954787  1.0
  Er  Er18  1  0.81499073  0.18346691  0.25019078  1.0
  Er  Er19  1  0.68347669  0.68371772  0.00036384  1.0
  Si  Si20  1  0.29319796  0.93572869  0.56054467  1.0
  Si  Si21  1  0.70948318  0.06488313  0.06161387  1.0
  Si  Si22  1  0.93150916  0.28822679  0.43830693  1.0
  Si  Si23  1  0.43690424  0.20817580  0.31120649  1.0
  Si  Si24  1  0.56544283  0.78915149  0.81138604  1.0
  Si  Si25  1  0.20997922  0.43539997  0.68942752  1.0
  Si  Si26  1  0.78934311  0.56560124  0.18896381  1.0
  Si  Si27  1  0.06547335  0.71035418  0.93881097  1.0
  Si  Si28  1  0.79885881  0.84247800  0.69183282  1.0
  Si  Si29  1  0.20326503  0.15522054  0.19103126  1.0
  Si  Si30  1  0.84192870  0.80021072  0.31155114  1.0
  Si  Si31  1  0.34773502  0.70707465  0.43950380  1.0
  Si  Si32  1  0.65581543  0.29697963  0.94132966  1.0
  Si  Si33  1  0.70221035  0.34094243  0.55796114  1.0
  Si  Si34  1  0.29661714  0.65571412  0.05934267  1.0
  Si  Si35  1  0.15623383  0.20253517  0.80846880  1.0
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