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ErPa(AlC)6

高熵材料 HEA

MP-ID: mp-3295443 · Space group: P-3m1 (#164)

Basic Information

Formula
ErPa(AlC)6
MP-ID
mp-3295443
Elements
4
Sites
14
Density
6.0705
g/cm³
Volume
172.95
ų
Cell a
3.3940
Å
Cell b
3.3940
Å
Cell c
17.3359
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
5.10 17.3359 12.4 (0,0,0,1)
10.21 8.6680 100.0 (0,0,0,2)
15.33 5.7786 1.4 (0,0,0,3)
20.49 4.3340 24.1 (0,0,0,4)
30.41 2.9393 6.5 (0,1,-1,0)
30.41 2.9393 13.1 (1,0,-1,0)
30.86 2.8980 1.4 (1,0,-1,1)
30.95 2.8893 8.1 (0,0,0,6)
32.16 2.7836 27.5 (0,1,-1,2)
32.16 2.7836 55.1 (1,0,-1,2)
34.23 2.6199 1.5 (1,0,-1,3)
36.95 2.4326 55.5 (1,0,-1,4)
40.22 2.2421 1.4 (0,1,-1,5)
40.22 2.2421 2.8 (1,0,-1,5)
41.68 2.1670 11.7 (0,0,0,8)
43.94 2.0605 35.1 (1,0,-1,6)
52.46 1.7442 11.1 (1,0,-1,8)
52.81 1.7336 1.7 (0,0,0,10)
54.04 1.6970 12.8 (1,1,-2,0)
54.04 1.6970 6.4 (2,-1,-1,0)
55.15 1.6654 7.0 (1,1,-2,2)
55.15 1.6654 3.5 (2,-1,-1,2)
58.40 1.5802 6.3 (1,1,-2,4)
58.40 1.5802 3.2 (2,-1,-1,4)
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Energy Properties

Formation Energy/atom
-0.44155
eV/atom
Energy/atom
-15.50279
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-15.5028
eV/atom
Volume/atom
12.35
ų
c/a Ratio
5.1078

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0005
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
Al · 0.429
Element Family
PostTransition-Noble
Solute Fraction
0.571
Interstitial Fraction
0.429
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1033
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.1725
J/mol·K
Ω Parameter
0.8968
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
32.287%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5035
smaller = more stable mixing
VEC
4.154
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-23.510
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7958
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295443
Reference Citation

The crystal structure and related material properties of ErPa(AlC)6 were obtained from the Materials Project database (MP-ID: mp-3295443, 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_ErPa(AlC)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.39404194
_cell_length_b   3.39404276
_cell_length_c   17.33591061
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999203
_symmetry_Int_Tables_number   1
_chemical_formula_structural   ErPa(AlC)6
_chemical_formula_sum   'Er1 Pa1 Al6 C6'
_cell_volume   172.94652446
_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  0.00000000  0.00000000  0.00000000  1.0
  Pa  Pa1  1  0.00000000  0.00000000  0.50000000  1.0
  Al  Al2  1  0.33333300  0.66666700  0.36326106  1.0
  Al  Al3  1  0.66666700  0.33333300  0.63673894  1.0
  Al  Al4  1  0.66666700  0.33333300  0.86789050  1.0
  Al  Al5  1  0.33333300  0.66666700  0.13210950  1.0
  Al  Al6  1  0.33333300  0.66666700  0.75298062  1.0
  Al  Al7  1  0.66666700  0.33333300  0.24701938  1.0
  C  C8  1  0.33333300  0.66666700  0.90844960  1.0
  C  C9  1  0.66666700  0.33333300  0.09155040  1.0
  C  C10  1  0.66666700  0.33333300  0.40180146  1.0
  C  C11  1  0.33333300  0.66666700  0.59819854  1.0
  C  C12  1  0.33333300  0.66666700  0.24772281  1.0
  C  C13  1  0.66666700  0.33333300  0.75227719  1.0
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