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GaN

Elasticity Data ELA

MP-ID: mp-804 · Space group: P6_3mc (#186)

Basic Information

Formula
GaN
MP-ID
mp-804
Elements
2
Sites
4
Density
6.0810
g/cm³
Volume
45.73
ų
Cell a
3.1889
Å
Cell b
3.1889
Å
Cell c
5.1924
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
Hexagonal P
Stability
Yes
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
32.42 2.7617 21.6 (0,1,-1,0)
32.42 2.7617 43.3 (1,0,-1,0)
34.55 2.5962 53.7 (0,0,0,2)
36.86 2.4383 100.0 (1,-1,0,1)
36.86 2.4383 50.0 (1,0,-1,1)
48.10 1.8916 10.3 (0,1,-1,2)
48.10 1.8916 20.5 (1,0,-1,2)
57.83 1.5945 14.8 (1,-2,1,0)
57.83 1.5945 14.8 (1,1,-2,0)
57.83 1.5945 14.8 (2,-1,-1,0)
63.43 1.4666 15.3 (0,1,-1,3)
63.43 1.4666 30.5 (1,0,-1,3)
67.88 1.3809 2.2 (0,2,-2,0)
67.88 1.3809 2.2 (2,-2,0,0)
67.88 1.3809 2.2 (2,0,-2,0)
69.14 1.3587 26.3 (1,1,-2,2)
69.14 1.3587 13.2 (2,-1,-1,2)
70.58 1.3345 7.5 (0,2,-2,1)
70.58 1.3345 7.5 (2,-2,0,1)
70.58 1.3345 7.5 (2,0,-2,1)
72.87 1.2981 4.1 (0,0,0,4)
78.45 1.2191 2.3 (0,2,-2,2)
78.45 1.2191 2.3 (2,-2,0,2)
78.45 1.2191 2.3 (2,0,-2,2)
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Energy Properties

Formation Energy/atom
-0.67005
eV/atom
Energy/atom
-10.95581
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-10.9558
eV/atom
Volume/atom
11.43
ų
c/a Ratio
1.6282

Electronic Properties

Metallic
Non-metal
Band Gap
1.738
eV
Direct Gap
Yes
CBM
N/A
eV

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.0000
μB
Mag. Ordering
Unknown
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

KVRH
172.144
GPa
GVRH
104.855
GPa
Young's Modulus E
261.476
GPa
Poisson Ratio ν
0.247
Pugh Ratio K/G
1.642
Vickers Hardness Est.
14.028
GPa
Ductility
Ductile
Anisotropy
0.132
Lame λ
102.241
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ga · 0.500
Element Family
PostTransition-Noble
Solute Fraction
0.500
Interstitial Fraction
0.500

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.1320
Homogeneous Poisson ν
0.2470
Debye Temperature
608.9
K
Sound Velocity
4,608.3
m/s
Homogeneity
0.2470

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-804
Reference Citation

The crystal structure and related material properties of GaN were obtained from the Materials Project database (MP-ID: mp-804, 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_GaN
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.18892989
_cell_length_b   3.18893092
_cell_length_c   5.19235725
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999982
_symmetry_Int_Tables_number   1
_chemical_formula_structural   GaN
_chemical_formula_sum   'Ga2 N2'
_cell_volume   45.72832359
_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
  Ga  Ga0  1  0.66666700  0.33333300  0.49908371  1.0
  Ga  Ga1  1  0.33333300  0.66666700  0.99908371  1.0
  N  N2  1  0.66666700  0.33333300  0.87591629  1.0
  N  N3  1  0.33333300  0.66666700  0.37591629  1.0
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