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Er2Sc2TiOs7

高熵材料 HEA

MP-ID: mp-3293708 · Space group: P-3m1 (#164)

Basic Information

Formula
Er2Sc2TiOs7
MP-ID
mp-3293708
Elements
4
Sites
12
Density
14.4505
g/cm³
Volume
207.29
ų
Cell a
5.3029
Å
Cell b
5.3029
Å
Cell c
8.5119
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P-3m1
Point Group
-3m
Crystal System
Trigonal
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
10.39 8.5119 52.3 (0,0,0,1)
19.33 4.5924 6.8 (1,0,-1,0)
19.33 4.5924 3.4 (0,1,-1,0)
20.87 4.2559 38.6 (0,0,0,2)
21.99 4.0417 25.7 (1,0,-1,1)
28.60 3.1216 9.1 (1,0,-1,2)
31.53 2.8373 5.0 (0,0,0,3)
33.81 2.6515 2.8 (2,-1,-1,0)
33.81 2.6515 5.6 (1,1,-2,0)
35.46 2.5315 25.2 (2,-1,-1,1)
37.25 2.4138 25.4 (1,-1,0,3)
37.25 2.4138 50.8 (1,0,-1,3)
39.23 2.2962 6.4 (2,-2,0,0)
39.23 2.2962 12.8 (2,0,-2,0)
40.07 2.2504 33.6 (2,-1,-1,2)
40.07 2.2504 67.3 (1,1,-2,2)
40.70 2.2170 100.0 (2,0,-2,1)
40.70 2.2170 50.0 (0,2,-2,1)
42.48 2.1280 31.6 (0,0,0,4)
44.85 2.0209 26.2 (2,0,-2,2)
44.85 2.0209 13.1 (0,2,-2,2)
46.90 1.9372 1.2 (2,-1,-1,3)
46.90 1.9372 2.4 (1,1,-2,3)
47.07 1.9308 13.9 (1,0,-1,4)
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Energy Properties

Formation Energy/atom
-0.49936
eV/atom
Energy/atom
-40.03954
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-40.0395
eV/atom
Volume/atom
17.27
ų
c/a Ratio
1.6051

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0010
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Os · 0.583
Element Family
5d-TM
Solute Fraction
0.417
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1187
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.3012
J/mol·K
Ω Parameter
1.0291
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
10.790%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4260
smaller = more stable mixing
VEC
7.500
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-24.340
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8070
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293708
Reference Citation

The crystal structure and related material properties of Er2Sc2TiOs7 were obtained from the Materials Project database (MP-ID: mp-3293708, 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_Er2Sc2TiOs7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.30289302
_cell_length_b   5.30289207
_cell_length_c   8.51185341
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00001207
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Er2Sc2TiOs7
_chemical_formula_sum   'Er2 Sc2 Ti1 Os7'
_cell_volume   207.29096256
_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  0.33333300  0.66666700  0.43722602  1.0
  Er  Er1  1  0.66666700  0.33333300  0.56277398  1.0
  Sc  Sc2  1  0.66666700  0.33333300  0.92862802  1.0
  Sc  Sc3  1  0.33333300  0.66666700  0.07137198  1.0
  Ti  Ti4  1  0.00000000  0.00000000  0.00000000  1.0
  Os  Os5  1  0.17291161  0.34582221  0.75512829  1.0
  Os  Os6  1  0.17291161  0.82708839  0.75512829  1.0
  Os  Os7  1  0.34582221  0.17291161  0.24487171  1.0
  Os  Os8  1  0.82708839  0.65417779  0.24487171  1.0
  Os  Os9  1  0.65417779  0.82708839  0.75512829  1.0
  Os  Os10  1  0.82708839  0.17291161  0.24487171  1.0
  Os  Os11  1  0.00000000  0.00000000  0.50000000  1.0
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