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Er4TcB12Os

High-Entropy Materials HEA

MP-ID: mp-3293125 · Space group: P2/m (#10)

Basic Information

Formula
Er4TcB12Os
MP-ID
mp-3293125
Elements
4
Sites
36
Density
9.5316
g/cm³
Volume
378.74
ų
Cell a
3.6358
Å
Cell b
9.0873
Å
Cell c
11.4634
Å
α Angle
89.89
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P2/m
Point Group
2/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
7.71 11.4634 2.1 (0,0,1)
9.73 9.0872 2.6 (0,1,0)
12.42 7.1276 2.0 (0,1,1)
12.44 7.1147 1.4 (0,1,-1)
15.46 5.7317 1.1 (0,0,2)
18.28 4.8520 1.5 (0,1,2)
23.28 3.8211 1.4 (0,0,3)
24.48 3.6358 100.0 (1,0,0)
24.99 3.5638 3.0 (0,2,2)
30.51 2.9299 21.7 (0,3,1)
30.54 2.9272 14.4 (0,3,-1)
30.54 2.9271 17.1 (0,2,3)
30.60 2.9218 15.0 (0,2,-3)
31.21 2.8659 23.0 (0,0,4)
32.75 2.7346 12.9 (0,1,4)
32.78 2.7317 15.0 (0,1,-4)
33.43 2.6802 10.0 (0,3,2)
33.49 2.6760 15.8 (0,3,-2)
34.04 2.6340 1.1 (1,0,3)
35.26 2.5451 2.9 (1,2,2)
37.12 2.4219 1.8 (0,2,-4)
37.87 2.3759 5.7 (0,3,3)
37.94 2.3716 5.8 (0,3,-3)
39.50 2.2814 25.9 (1,3,1)
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Energy Properties

Formation Energy/atom
-0.76711
eV/atom
Energy/atom
-17.58978
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-17.5898
eV/atom
Volume/atom
10.52
ų
c/a Ratio
3.1530

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0028
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
B · 0.667
Element Family
Metalloid-Nonmetal
Solute Fraction
0.333
Interstitial Fraction
0.667

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9257
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.6963
J/mol·K
Ω Parameter
11.1073
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
31.166%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3369
smaller = more stable mixing
VEC
5.389
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-1.583
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6678
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293125
Reference Citation

The crystal structure and related material properties of Er4TcB12Os were obtained from the Materials Project database (MP-ID: mp-3293125, 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_Er4TcB12Os
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.63577436
_cell_length_b   9.08725874
_cell_length_c   11.46343073
_cell_angle_alpha   89.89349460
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Er4TcB12Os
_chemical_formula_sum   'Er8 Tc2 B24 Os2'
_cell_volume   378.74218211
_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
  Er  Er0  1  0.00000000  0.32536114  0.41603096  1.0
  Er  Er1  1  0.00000000  0.67463886  0.58396904  1.0
  Er  Er2  1  0.00000000  0.82062564  0.08711751  1.0
  Er  Er3  1  0.00000000  0.17937436  0.91288249  1.0
  Er  Er4  1  0.00000000  0.94150044  0.37103904  1.0
  Er  Er5  1  0.00000000  0.05849956  0.62896196  1.0
  Er  Er6  1  0.00000000  0.44376535  0.12981292  1.0
  Er  Er7  1  0.00000000  0.55623465  0.87018608  1.0
  Tc  Tc8  1  0.00000000  0.63777641  0.32025809  1.0
  Tc  Tc9  1  0.00000000  0.36222359  0.67974191  1.0
  B  B10  1  0.50000000  0.55303329  0.43315890  1.0
  B  B11  1  0.50000000  0.44696671  0.56684110  1.0
  B  B12  1  0.50000000  0.05342917  0.06666662  1.0
  B  B13  1  0.50000000  0.94657083  0.93333338  1.0
  B  B14  1  0.50000000  0.74819123  0.41907686  1.0
  B  B15  1  0.50000000  0.25180877  0.58092314  1.0
  B  B16  1  0.50000000  0.24874186  0.08096325  1.0
  B  B17  1  0.50000000  0.75125814  0.91903675  1.0
  B  B18  1  0.50000000  0.79144576  0.26519694  1.0
  B  B19  1  0.50000000  0.20855424  0.73480306  1.0
  B  B20  1  0.50000000  0.29079843  0.23450825  1.0
  B  B21  1  0.50000000  0.70920057  0.76549175  1.0
  B  B22  1  0.50000000  0.63106881  0.18524088  1.0
  B  B23  1  0.50000000  0.36893119  0.81475912  1.0
  B  B24  1  0.50000000  0.13044401  0.31419055  1.0
  B  B25  1  0.50000000  0.86955599  0.68580945  1.0
  B  B26  1  0.50000000  0.98197835  0.21202808  1.0
  B  B27  1  0.50000000  0.01802165  0.78797192  1.0
  B  B28  1  0.50000000  0.48194809  0.28767702  1.0
  B  B29  1  0.50000000  0.51805191  0.71232298  1.0
  B  B30  1  0.50000000  0.60359621  0.02851386  1.0
  B  B31  1  0.50000000  0.39640379  0.97148614  1.0
  B  B32  1  0.50000000  0.10315148  0.47104035  1.0
  B  B33  1  0.50000000  0.89684852  0.52895965  1.0
  Os  Os34  1  0.00000000  0.13707716  0.17807440  1.0
  Os  Os35  1  0.00000000  0.86292284  0.82192560  1.0
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