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Na2La4HoAu10

High-Entropy Materials HEA

MP-ID: mp-3294289 · Space group: Cmce (#64)

Basic Information

Formula
Na2La4HoAu10
MP-ID
mp-3294289
Elements
4
Sites
34
Density
11.5877
g/cm³
Volume
784.20
ų
Cell a
8.7703
Å
Cell b
8.7703
Å
Cell c
10.6064
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
106.00
°
Space Group
Cmce
Point Group
mmm
Crystal System
Orthorhombic
Bravais Lattice
oC
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
12.64 7.0044 13.9 (1,-1,0)
13.42 6.5996 1.5 (1,0,1)
16.72 5.3032 14.8 (0,0,2)
16.80 5.2779 13.0 (1,1,0)
18.78 4.7252 5.3 (1,1,1)
19.78 4.4889 3.1 (1,0,2)
21.01 4.2281 1.5 (1,-1,2)
21.08 4.2152 1.4 (2,0,0)
22.44 3.9614 13.0 (2,-1,1)
23.79 3.7410 30.5 (1,1,2)
25.43 3.5022 8.5 (2,-2,0)
27.02 3.2998 13.8 (2,0,2)
30.43 2.9374 2.5 (1,1,3)
31.17 2.8698 3.4 (1,2,2)
31.17 2.8698 3.4 (2,1,2)
32.89 2.7233 47.5 (2,-1,3)
32.97 2.7164 24.7 (0,3,1)
32.97 2.7164 24.7 (3,0,1)
33.07 2.7088 17.5 (2,0,3)
33.80 2.6516 34.7 (0,0,4)
33.97 2.6389 30.6 (2,2,0)
34.17 2.6238 19.4 (3,-2,1)
35.04 2.5609 20.8 (2,2,1)
35.10 2.5567 100.0 (1,-3,2)
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Energy Properties

Formation Energy/atom
-0.82138
eV/atom
Energy/atom
-39.92952
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-39.9295
eV/atom
Volume/atom
23.06
ų
c/a Ratio
1.2094

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0039
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Au · 0.588
Element Family
5d-TM
Solute Fraction
0.412
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0710
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.9044
J/mol·K
Ω Parameter
0.2260
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
14.063%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.7262
smaller = more stable mixing
VEC
7.941
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-47.782
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7726
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294289
Reference Citation

The crystal structure and related material properties of Na2La4HoAu10 were obtained from the Materials Project database (MP-ID: mp-3294289, 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_Na2La4HoAu10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.77025467
_cell_length_b   8.77025606
_cell_length_c   10.60643591
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   106.00303282
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Na2La4HoAu10
_chemical_formula_sum   'Na4 La8 Ho2 Au20'
_cell_volume   784.20389424
_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
  Na  Na0  1  0.51171954  0.01171954  0.25000000  1.0
  Na  Na1  1  0.98828046  0.48828046  0.75000000  1.0
  Na  Na2  1  0.01171954  0.51171954  0.25000000  1.0
  Na  Na3  1  0.48828046  0.98828046  0.75000000  1.0
  La  La4  1  0.70373238  0.29626762  0.00000000  1.0
  La  La5  1  0.20373238  0.79626762  0.50000000  1.0
  La  La6  1  0.80078813  0.80078813  0.29751411  1.0
  La  La7  1  0.30078813  0.30078813  0.20248589  1.0
  La  La8  1  0.79626762  0.20373238  0.50000000  1.0
  La  La9  1  0.29626762  0.70373238  0.00000000  1.0
  La  La10  1  0.69921187  0.69921187  0.79751411  1.0
  La  La11  1  0.19921187  0.19921187  0.70248589  1.0
  Ho  Ho12  1  0.00000000  0.00000000  0.00000000  1.0
  Ho  Ho13  1  0.50000000  0.50000000  0.50000000  1.0
  Au  Au14  1  0.15214673  0.42960178  0.48648690  1.0
  Au  Au15  1  0.90286561  0.90286561  0.59426893  1.0
  Au  Au16  1  0.57039822  0.84785327  0.51351310  1.0
  Au  Au17  1  0.88167236  0.15785012  0.20825213  1.0
  Au  Au18  1  0.38167236  0.65785012  0.29174787  1.0
  Au  Au19  1  0.65785012  0.38167236  0.29174787  1.0
  Au  Au20  1  0.40286561  0.40286561  0.90573107  1.0
  Au  Au21  1  0.92960178  0.65214673  0.01351310  1.0
  Au  Au22  1  0.34214988  0.61832764  0.70825213  1.0
  Au  Au23  1  0.34785327  0.07039822  0.98648690  1.0
  Au  Au24  1  0.59713439  0.59713439  0.09426893  1.0
  Au  Au25  1  0.65214673  0.92960178  0.01351310  1.0
  Au  Au26  1  0.09713439  0.09713439  0.40573107  1.0
  Au  Au27  1  0.61832764  0.34214988  0.70825213  1.0
  Au  Au28  1  0.11832764  0.84214988  0.79174787  1.0
  Au  Au29  1  0.07039822  0.34785327  0.98648690  1.0
  Au  Au30  1  0.84785327  0.57039822  0.51351310  1.0
  Au  Au31  1  0.15785012  0.88167236  0.20825213  1.0
  Au  Au32  1  0.42960178  0.15214673  0.48648690  1.0
  Au  Au33  1  0.84214988  0.11832764  0.79174787  1.0
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