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Ti3AlCN

High-Entropy Materials HEA

MP-ID: mp-3293103 · Space group: P6_3mc (#186)

Basic Information

Formula
Ti3AlCN
MP-ID
mp-3293103
Elements
4
Sites
12
Density
4.4307
g/cm³
Volume
147.36
ų
Cell a
3.0404
Å
Cell b
3.0404
Å
Cell c
18.4072
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P6_3mc
Point Group
6mm
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
9.61 9.2036 100.0 (0,0,0,2)
19.29 4.6018 10.1 (0,0,0,4)
34.41 2.6066 18.8 (1,-1,0,1)
34.41 2.6066 18.8 (0,1,-1,1)
34.41 2.6066 18.8 (1,0,-1,1)
35.46 2.5315 1.4 (1,-1,0,2)
35.46 2.5315 1.4 (0,1,-1,2)
35.46 2.5315 1.4 (1,0,-1,2)
37.16 2.4197 14.1 (1,-1,0,3)
37.16 2.4197 7.1 (1,0,-1,3)
39.15 2.3009 53.6 (0,0,0,8)
39.43 2.2854 75.4 (1,-1,0,4)
39.43 2.2854 75.4 (0,1,-1,4)
39.43 2.2854 75.4 (1,0,-1,4)
42.20 2.1417 25.5 (1,-1,0,5)
42.20 2.1417 51.1 (1,0,-1,5)
45.39 1.9981 3.5 (1,-1,0,6)
45.39 1.9981 1.8 (1,0,-1,6)
48.95 1.8606 6.6 (1,-1,0,7)
48.95 1.8606 6.6 (0,1,-1,7)
48.95 1.8606 6.6 (1,0,-1,7)
52.84 1.7326 2.9 (1,-1,0,8)
52.84 1.7326 5.7 (1,0,-1,8)
57.02 1.6152 9.5 (1,-1,0,9)
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Energy Properties

Formation Energy/atom
-1.19919
eV/atom
Energy/atom
-11.96942
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-11.9694
eV/atom
Volume/atom
12.28
ų
c/a Ratio
6.0542

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0044
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000030
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ti · 0.500
Element Family
3d-TM
Solute Fraction
0.500
Interstitial Fraction
0.333

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2425
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.3298
J/mol·K
Ω Parameter
0.1706
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
26.930%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.6008
smaller = more stable mixing
VEC
4.000
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-107.375
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8962
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293103
Reference Citation

The crystal structure and related material properties of Ti3AlCN were obtained from the Materials Project database (MP-ID: mp-3293103, 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_Ti3AlCN
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.04043269
_cell_length_b   3.04043348
_cell_length_c   18.40723691
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00002349
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ti3AlCN
_chemical_formula_sum   'Ti6 Al2 C2 N2'
_cell_volume   147.36353442
_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
  Ti  Ti0  1  0.66666700  0.33333300  0.37195394  1.0
  Ti  Ti1  1  0.33333300  0.66666700  0.87195394  1.0
  Ti  Ti2  1  0.33333300  0.66666700  0.62839102  1.0
  Ti  Ti3  1  0.66666700  0.33333300  0.12839102  1.0
  Ti  Ti4  1  0.00000000  0.00000000  0.49959266  1.0
  Ti  Ti5  1  0.00000000  0.00000000  0.99959266  1.0
  Al  Al6  1  0.00000000  0.00000000  0.75104781  1.0
  Al  Al7  1  0.00000000  0.00000000  0.25104781  1.0
  C  C8  1  0.33333300  0.66666700  0.06827331  1.0
  C  C9  1  0.66666700  0.33333300  0.56827331  1.0
  N  N10  1  0.33333300  0.66666700  0.43074226  1.0
  N  N11  1  0.66666700  0.33333300  0.93074226  1.0
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