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Er3Al10(SiOs2)2

高熵材料 HEA

MP-ID: mp-3293291 · Space group: P6_3/mmc (#194)

Basic Information

Formula
Er3Al10(SiOs2)2
MP-ID
mp-3293291
Elements
4
Sites
38
Density
8.5702
g/cm³
Volume
615.64
ų
Cell a
8.6347
Å
Cell b
8.6347
Å
Cell c
9.5347
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P6_3/mmc
Point Group
6/mmm
Crystal System
Hexagonal
Bravais Lattice
hP
Stability
Yes
Packing Fraction
0.7405

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
15.06 5.8841 27.4 (1,0,-1,1)
18.61 4.7673 9.9 (0,0,0,2)
20.57 4.3173 1.6 (2,-1,-1,0)
23.80 3.7389 45.1 (2,0,-2,0)
25.59 3.4809 31.1 (2,0,-2,1)
27.88 3.2001 2.8 (2,-1,-1,2)
30.38 2.9420 50.0 (0,2,-2,2)
30.38 2.9420 100.0 (2,0,-2,2)
30.56 2.9250 7.0 (1,0,-1,3)
31.66 2.8264 13.4 (3,-1,-2,0)
36.03 2.4926 3.3 (3,0,-3,0)
36.97 2.4312 20.2 (3,-1,-2,2)
37.13 2.4216 39.1 (2,0,-2,3)
37.29 2.4116 19.6 (3,0,-3,1)
37.74 2.3837 36.3 (0,0,0,4)
40.85 2.2089 5.6 (3,0,-3,2)
41.85 2.1587 77.0 (4,-2,-2,0)
45.11 2.0100 26.6 (2,0,-2,4)
46.16 1.9665 21.9 (4,-2,-2,2)
46.29 1.9614 10.1 (3,0,-3,3)
48.71 1.8695 9.3 (4,0,-4,0)
49.32 1.8478 1.9 (1,0,-1,5)
50.06 1.8222 4.3 (2,1,-3,4)
50.06 1.8222 2.1 (3,-1,-2,4)
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Energy Properties

Formation Energy/atom
-0.72128
eV/atom
Energy/atom
-21.69947
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-21.6995
eV/atom
Volume/atom
16.20
ų
c/a Ratio
1.1042

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0031
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000010
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Al · 0.526
Element Family
PostTransition-Noble
Solute Fraction
0.474
Interstitial Fraction
0.105
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1943
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.9292
J/mol·K
Ω Parameter
3.3764
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
10.918%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3074
smaller = more stable mixing
VEC
5.579
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-4.851
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8615
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293291
Reference Citation

The crystal structure and related material properties of Er3Al10(SiOs2)2 were obtained from the Materials Project database (MP-ID: mp-3293291, 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_Er3Al10(SiOs2)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.63465712
_cell_length_b   8.63465757
_cell_length_c   9.53465817
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999829
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Er3Al10(SiOs2)2
_chemical_formula_sum   'Er6 Al20 Si4 Os8'
_cell_volume   615.63879956
_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  0.19590822  0.39181444  0.25000000  1.0
  Er  Er1  1  0.80409178  0.60818556  0.75000000  1.0
  Er  Er2  1  0.60818556  0.80409178  0.25000000  1.0
  Er  Er3  1  0.39181444  0.19590822  0.75000000  1.0
  Er  Er4  1  0.19590822  0.80409178  0.25000000  1.0
  Er  Er5  1  0.80409178  0.19590822  0.75000000  1.0
  Al  Al6  1  0.16495282  0.32990565  0.57584340  1.0
  Al  Al7  1  0.83504718  0.67009435  0.42415660  1.0
  Al  Al8  1  0.67009435  0.83504718  0.57584340  1.0
  Al  Al9  1  0.83504718  0.67009435  0.07584340  1.0
  Al  Al10  1  0.32990565  0.16495282  0.42415660  1.0
  Al  Al11  1  0.16495282  0.32990565  0.92415660  1.0
  Al  Al12  1  0.16495282  0.83504718  0.57584340  1.0
  Al  Al13  1  0.32990565  0.16495282  0.07584340  1.0
  Al  Al14  1  0.83504718  0.16495282  0.42415660  1.0
  Al  Al15  1  0.67009435  0.83504718  0.92415660  1.0
  Al  Al16  1  0.83504718  0.16495282  0.07584340  1.0
  Al  Al17  1  0.16495282  0.83504718  0.92415660  1.0
  Al  Al18  1  0.56357082  0.12714265  0.25000000  1.0
  Al  Al19  1  0.43642918  0.87285735  0.75000000  1.0
  Al  Al20  1  0.87285735  0.43642918  0.25000000  1.0
  Al  Al21  1  0.12714265  0.56357082  0.75000000  1.0
  Al  Al22  1  0.56357082  0.43642918  0.25000000  1.0
  Al  Al23  1  0.43642918  0.56357082  0.75000000  1.0
  Al  Al24  1  0.00000000  0.00000000  0.25000000  1.0
  Al  Al25  1  0.00000000  0.00000000  0.75000000  1.0
  Si  Si26  1  0.33333300  0.66666700  0.03641617  1.0
  Si  Si27  1  0.66666700  0.33333300  0.96358383  1.0
  Si  Si28  1  0.66666700  0.33333300  0.53641617  1.0
  Si  Si29  1  0.33333300  0.66666700  0.46358383  1.0
  Os  Os30  1  0.50000000  0.00000000  0.00000000  1.0
  Os  Os31  1  0.00000000  0.50000000  0.00000000  1.0
  Os  Os32  1  0.50000000  0.00000000  0.50000000  1.0
  Os  Os33  1  0.50000000  0.50000000  0.00000000  1.0
  Os  Os34  1  0.00000000  0.50000000  0.50000000  1.0
  Os  Os35  1  0.50000000  0.50000000  0.50000000  1.0
  Os  Os36  1  0.00000000  0.00000000  0.00000000  1.0
  Os  Os37  1  0.00000000  0.00000000  0.50000000  1.0
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