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ErCo2(B2Ru)2

High-Entropy Materials HEA

MP-ID: mp-3292613 · Space group: P4_2 (#77)

Basic Information

Formula
ErCo2(B2Ru)2
MP-ID
mp-3292613
Elements
4
Sites
18
Density
8.9114
g/cm³
Volume
197.71
ų
Cell a
7.1221
Å
Cell b
7.1221
Å
Cell c
3.8977
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
P4_2
Point Group
4
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
12.43 7.1221 7.2 (1,0,0)
25.01 3.5611 14.1 (2,0,0)
26.06 3.4192 31.9 (1,0,1)
28.01 3.1851 1.9 (2,1,0)
28.97 3.0824 13.3 (1,1,1)
34.10 2.6290 3.4 (2,0,1)
35.66 2.5181 9.9 (2,2,0)
36.43 2.4664 100.0 (2,1,1)
37.90 2.3740 1.6 (3,0,0)
40.03 2.2522 63.2 (3,1,0)
42.75 2.1151 17.5 (2,2,1)
44.70 2.0276 5.6 (3,0,1)
45.94 1.9753 1.5 (3,2,0)
46.57 1.9501 9.2 (3,1,1)
46.60 1.9489 5.8 (0,0,2)
48.42 1.8798 16.5 (1,0,2)
50.20 1.8175 6.1 (1,1,2)
51.31 1.7805 1.8 (4,0,0)
51.89 1.7620 18.3 (3,2,1)
53.01 1.7274 1.7 (4,1,0)
53.61 1.7096 3.8 (2,0,2)
57.90 1.5926 8.5 (4,2,0)
58.44 1.5792 9.5 (4,1,1)
60.03 1.5412 3.9 (2,2,2)
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Energy Properties

Formation Energy/atom
-0.52128
eV/atom
Energy/atom
-16.14666
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-16.1467
eV/atom
Volume/atom
10.98
ų
c/a Ratio
0.5473

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
1.8610
μB
Mag. Ordering
FiM
Mag. Sites
8
Magnetization/Volume
0.009410
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
B · 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
1.2730
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.5840
J/mol·K
Ω Parameter
0.9322
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
23.813%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2731
smaller = more stable mixing
VEC
6.444
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-25.165
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9183
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292613
Reference Citation

The crystal structure and related material properties of ErCo2(B2Ru)2 were obtained from the Materials Project database (MP-ID: mp-3292613, 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_ErCo2(B2Ru)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.12210699
_cell_length_b   7.12210699
_cell_length_c   3.89771605
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   ErCo2(B2Ru)2
_chemical_formula_sum   'Er2 Co4 B8 Ru4'
_cell_volume   197.70933914
_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  0.00000000  0.10180780  1.0
  Er  Er1  1  0.50000000  0.50000000  0.60180780  1.0
  Co  Co2  1  0.61977680  0.11949752  0.37414341  1.0
  Co  Co3  1  0.38022320  0.88050248  0.37414341  1.0
  Co  Co4  1  0.61949752  0.88022320  0.87414341  1.0
  Co  Co5  1  0.38050248  0.11977680  0.87414341  1.0
  B  B6  1  0.34267297  0.82063520  0.87867641  1.0
  B  B7  1  0.65732703  0.17936480  0.87867641  1.0
  B  B8  1  0.32063520  0.15732703  0.37867641  1.0
  B  B9  1  0.67936480  0.84267297  0.37867641  1.0
  B  B10  1  0.17464969  0.72831802  0.59536375  1.0
  B  B11  1  0.82535031  0.27168198  0.59536375  1.0
  B  B12  1  0.22831802  0.32535031  0.09536375  1.0
  B  B13  1  0.77168198  0.67464969  0.09536375  1.0
  Ru  Ru14  1  0.84049821  0.38875069  0.10091152  1.0
  Ru  Ru15  1  0.15950179  0.61124931  0.10091152  1.0
  Ru  Ru16  1  0.88875069  0.65950179  0.60091152  1.0
  Ru  Ru17  1  0.11124931  0.34049821  0.60091152  1.0
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