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Er8Si16Tc11Mo

High-Entropy Materials HEA

MP-ID: mp-3292678 · Space group: P1 (#1)

Basic Information

Formula
Er8Si16Tc11Mo
MP-ID
mp-3292678
Elements
4
Sites
36
Density
8.5968
g/cm³
Volume
572.02
ų
Cell a
6.7475
Å
Cell b
6.7581
Å
Cell c
12.5446
Å
α Angle
90.00
°
β Angle
90.48
°
γ Angle
90.03
°
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
14.86 5.9632 2.9 (1,0,-1)
14.89 5.9496 2.0 (0,1,1)
14.89 5.9496 2.0 (0,1,-1)
18.58 4.7761 12.3 (1,-1,0)
18.59 4.7736 12.2 (1,1,0)
19.85 4.4724 11.3 (1,-1,-1)
19.86 4.4704 11.2 (1,1,-1)
19.93 4.4547 14.5 (1,-1,1)
19.94 4.4527 14.5 (1,1,1)
23.34 3.8108 3.1 (1,-1,-2)
23.35 3.8095 3.1 (1,1,-2)
23.48 3.7890 3.5 (1,-1,2)
23.49 3.7877 3.6 (1,1,2)
24.96 3.5677 4.7 (1,0,-3)
25.04 3.5558 5.0 (0,1,3)
25.04 3.5558 5.6 (0,1,-3)
25.15 3.5409 6.2 (1,0,3)
26.38 3.3790 6.1 (0,2,0)
26.42 3.3736 5.4 (2,0,0)
27.32 3.2648 21.2 (2,0,-1)
27.33 3.2627 21.0 (0,2,1)
27.33 3.2627 20.6 (0,2,-1)
27.43 3.2510 19.6 (2,0,1)
28.28 3.1554 27.0 (1,-1,-3)
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Energy Properties

Formation Energy/atom
-0.78097
eV/atom
Energy/atom
-20.87728
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-20.8773
eV/atom
Volume/atom
15.89
ų
c/a Ratio
1.8592

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0091
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000020
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
1.1565
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.6149
J/mol·K
Ω Parameter
12.8059
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
16.425%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2815
smaller = more stable mixing
VEC
6.139
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-1.481
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8342
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292678
Reference Citation

The crystal structure and related material properties of Er8Si16Tc11Mo were obtained from the Materials Project database (MP-ID: mp-3292678, 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_Er8Si16Tc11Mo
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.74749752
_cell_length_b   6.75808253
_cell_length_c   12.54459476
_cell_angle_alpha   89.99951121
_cell_angle_beta   90.48200415
_cell_angle_gamma   90.02933375
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Er8Si16Tc11Mo
_chemical_formula_sum   'Er8 Si16 Tc11 Mo1'
_cell_volume   572.01502418
_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  0.33942837  0.99286712  0.46787060  1.0
  Er  Er1  1  0.50362552  0.83754992  0.71909029  1.0
  Er  Er2  1  0.49333834  0.15707515  0.21807718  1.0
  Er  Er3  1  0.83727452  0.50073464  0.27942508  1.0
  Er  Er4  1  0.16012116  0.49309573  0.78260554  1.0
  Er  Er5  1  0.66149877  0.00216156  0.97051128  1.0
  Er  Er6  1  0.99584061  0.33924300  0.53091070  1.0
  Er  Er7  1  0.00505909  0.65758585  0.03202261  1.0
  Si  Si8  1  0.19808080  0.12355125  0.68574010  1.0
  Si  Si9  1  0.38194147  0.69342952  0.93619411  1.0
  Si  Si10  1  0.61770863  0.30758358  0.43787436  1.0
  Si  Si11  1  0.69115518  0.38460191  0.06236756  1.0
  Si  Si12  1  0.30543452  0.61964589  0.56339768  1.0
  Si  Si13  1  0.80870051  0.88473831  0.18871177  1.0
  Si  Si14  1  0.11743120  0.19310898  0.31439629  1.0
  Si  Si15  1  0.88185008  0.80503611  0.81379638  1.0
  Si  Si16  1  0.26740862  0.98081030  0.05950997  1.0
  Si  Si17  1  0.52208169  0.76892119  0.31134465  1.0
  Si  Si18  1  0.47499085  0.21777387  0.81429952  1.0
  Si  Si19  1  0.78350952  0.53084085  0.68578469  1.0
  Si  Si20  1  0.23196961  0.48054742  0.18969494  1.0
  Si  Si21  1  0.71327569  0.03409540  0.56501852  1.0
  Si  Si22  1  0.97941668  0.26669656  0.93865024  1.0
  Si  Si23  1  0.02885816  0.71641178  0.43295255  1.0
  Tc  Tc24  1  0.33100278  0.33129601  0.00046251  1.0
  Tc  Tc25  1  0.16886970  0.83079083  0.24950992  1.0
  Tc  Tc26  1  0.83482076  0.16718360  0.75212225  1.0
  Tc  Tc27  1  0.66590085  0.66664052  0.49798973  1.0
  Tc  Tc28  1  0.18460511  0.97440979  0.86610907  1.0
  Tc  Tc29  1  0.52468908  0.68636020  0.11778177  1.0
  Tc  Tc30  1  0.48831698  0.33034537  0.62552460  1.0
  Tc  Tc31  1  0.67115524  0.51615934  0.87501987  1.0
  Tc  Tc32  1  0.31657485  0.47386135  0.38183669  1.0
  Tc  Tc33  1  0.82811420  0.01719492  0.37697208  1.0
  Tc  Tc34  1  0.97544754  0.18599383  0.13245453  1.0
  Mo  Mo35  1  0.01050630  0.83165833  0.62396839  1.0
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