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Zr5Al3C

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-972176 · Space group: P6_3/mcm (#193)

Basic Information

Formula
Zr5Al3C
MP-ID
mp-972176
Elements
3
Sites
18
Density
5.3842
g/cm³
Volume
338.68
ų
Cell a
8.3385
Å
Cell b
8.3385
Å
Cell c
5.6245
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P6_3/mcm
Point Group
6/mmm
Crystal System
Hexagonal
Bravais Lattice
Hexagonal P
Stability
No
Packing Fraction
0.7400

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
12.26 7.2214 4.3 (1,0,-1,0)
21.31 4.1693 19.7 (2,-1,-1,0)
24.66 3.6107 17.9 (2,0,-2,0)
26.61 3.3494 18.8 (2,-1,-1,1)
31.82 2.8123 5.7 (0,0,0,2)
32.81 2.7294 49.3 (3,-1,-2,0)
34.22 2.6206 37.6 (1,0,-1,2)
36.59 2.4556 100.0 (3,-1,-2,1)
37.36 2.4071 8.2 (3,-3,0,0)
37.36 2.4071 16.5 (3,0,-3,0)
38.62 2.3315 62.7 (2,-1,-1,2)
40.66 2.2187 1.2 (2,0,-2,2)
43.41 2.0846 2.1 (4,-2,-2,0)
45.28 2.0029 2.6 (4,-1,-3,0)
46.36 1.9586 1.3 (3,-1,-2,2)
46.46 1.9547 10.1 (4,-2,-2,1)
49.87 1.8287 7.6 (3,0,-3,2)
50.56 1.8053 3.3 (4,0,-4,0)
53.60 1.7099 2.6 (2,-1,-1,3)
54.82 1.6747 24.0 (4,-2,-2,2)
55.46 1.6567 2.8 (5,-2,-3,0)
56.40 1.6314 2.8 (4,-1,-3,2)
56.40 1.6314 1.4 (3,1,-4,2)
58.04 1.5892 5.9 (5,-2,-3,1)
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Energy Properties

Formation Energy/atom
-0.59517
eV/atom
Energy/atom
-16.58323
eV/atom
Energy above Hull
0.0381
eV/atom
Uncorrected Energy
-7.5267
eV/atom
Volume/atom
18.82
ų
c/a Ratio
0.6745

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0057
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000020
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Zr · 0.556
Element Family
4d-TM
Solute Fraction
0.444
Interstitial Fraction
0.111

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9369
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.7893
J/mol·K
Ω Parameter
0.2231
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
17.435%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3730
smaller = more stable mixing
VEC
3.667
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-66.963
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8528
SS Former
0
Phase Tendency
AM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
A
Score
0.747
Family
Zr-based Alloy
Matrix Element
Zr · 0.556

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-972176
Reference Citation

The crystal structure and related material properties of Zr5Al3C were obtained from the Materials Project database (MP-ID: mp-972176, 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

BibTeX
@article{Horton2025,
  author  = {Horton, Matthew K. and Huck, Patrick and Yang, Ruo Xi and Munro, Jason M. and Dwaraknath, Shyam and Ganose, Alex M. and Kingsbury, Ryan S. and Wen, Mingjian and Shen, Jimmy X. and Mathis, Tyler S. and Kaplan, Aaron D. and Berket, Karlo and Riebesell, Janosh and George, Janine and Rosen, Andrew S. and Spotte-Smith, Evan W. C. and McDermott, Matthew J. and Cohen, Orion A. and Dunn, Alex and Kuner, Matthew C. and Rignanese, Gian-Marco and Petretto, Guido and Waroquiers, David and Griffin, Sinead M. and Neaton, Jeffrey B. and Chrzan, Daryl C. and Asta, Mark and Hautier, Geoffroy and Cholia, Shreyas and Ceder, Gerbrand and Ong, Shyue Ping and Jain, Anubhav and Persson, Kristin A.},
  title   = {Accelerated data-driven materials science with the Materials Project},
  journal = {Nature Materials},
  year    = {2025},
  volume  = {24},
  number  = {10},
  pages   = {1522--1532},
  month   = {oct},
  doi     = {10.1038/s41563-025-02272-0},
  issn    = {1476-4660},
  url     = {https://doi.org/10.1038/s41563-025-02272-0},
  abstract = {The Materials Project was launched formally in 2011 to drive materials discovery forwards through high-throughput computation and open data. More than a decade later, the Materials Project has become an indispensable tool used by more than 600,000 materials researchers around the world. This Perspective describes how the Materials Project, as a data platform and a software ecosystem, has helped to shape research in data-driven materials science. We cover how sustainable software and computational methods have accelerated materials design while becoming more open source and collaborative in nature. Next, we present cases where the Materials Project was used to understand and discover functional materials. We then describe our efforts to meet the needs of an expanding user base, through technical infrastructure updates ranging from data architecture and cloud resources to interactive web applications. Finally, we discuss opportunities to better aid the research community, with the vision that more accessible and easy-to-understand materials data will result in democratized materials knowledge and an increasingly collaborative community.}
}

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Zr5Al3C
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.33852433
_cell_length_b   8.33852433
_cell_length_c   5.62451100
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000265
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Zr5Al3C
_chemical_formula_sum   'Zr10 Al6 C2'
_cell_volume   338.68330689
_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
  Zr  Zr0  1  0.66666700  0.33333300  0.00000000  1.0
  Zr  Zr1  1  0.33333300  0.66666700  0.00000000  1.0
  Zr  Zr2  1  0.22386000  0.00000000  0.25000000  1.0
  Zr  Zr3  1  0.00000000  0.22386000  0.25000000  1.0
  Zr  Zr4  1  0.77614000  0.77614000  0.25000000  1.0
  Zr  Zr5  1  0.66666700  0.33333300  0.50000000  1.0
  Zr  Zr6  1  0.33333300  0.66666700  0.50000000  1.0
  Zr  Zr7  1  0.77614000  0.00000000  0.75000000  1.0
  Zr  Zr8  1  0.00000000  0.77614000  0.75000000  1.0
  Zr  Zr9  1  0.22386000  0.22386000  0.75000000  1.0
  Al  Al10  1  0.59983800  0.00000000  0.25000000  1.0
  Al  Al11  1  0.00000000  0.59983800  0.25000000  1.0
  Al  Al12  1  0.40016200  0.40016200  0.25000000  1.0
  Al  Al13  1  0.40016200  0.00000000  0.75000000  1.0
  Al  Al14  1  0.00000000  0.40016200  0.75000000  1.0
  Al  Al15  1  0.59983800  0.59983800  0.75000000  1.0
  C  C16  1  0.00000000  0.00000000  0.00000000  1.0
  C  C17  1  0.00000000  0.00000000  0.50000000  1.0
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