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Si3N4

Elasticity Data ELA

MP-ID: mp-988 · Space group: P6_3/m (#176)

Basic Information

Formula
Si3N4
MP-ID
mp-988
Elements
2
Sites
14
Density
3.2021
g/cm³
Volume
145.50
ų
Cell a
7.6045
Å
Cell b
7.6045
Å
Cell c
2.9052
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P6_3/m
Point Group
6/m
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
13.44 6.5857 37.4 (1,0,-1,0)
23.40 3.8023 35.3 (2,-1,-1,0)
27.08 3.2929 96.6 (2,0,-2,0)
33.72 2.6581 100.0 (1,0,-1,1)
36.08 2.4892 95.9 (3,-1,-2,0)
39.02 2.3085 6.9 (2,-1,-1,1)
41.12 2.1952 2.6 (3,0,-3,0)
41.45 2.1785 34.7 (2,0,-2,1)
47.85 1.9011 7.4 (4,-2,-2,0)
48.14 1.8902 4.9 (3,-1,-2,1)
49.93 1.8266 12.2 (4,-1,-3,0)
52.23 1.7515 14.8 (0,3,-3,1)
52.23 1.7515 29.6 (3,0,-3,1)
57.97 1.5908 9.2 (2,2,-4,1)
57.97 1.5908 4.6 (4,-2,-2,1)
59.81 1.5463 6.2 (4,-1,-3,1)
61.36 1.5109 17.7 (5,-2,-3,0)
64.11 1.4526 18.3 (0,0,0,2)
64.88 1.4371 8.6 (5,-1,-4,0)
65.12 1.4324 1.5 (4,0,-4,1)
69.24 1.3570 2.4 (2,-1,-1,2)
70.22 1.3404 20.7 (3,-5,2,1)
70.22 1.3404 34.2 (5,-2,-3,1)
70.91 1.3290 9.3 (2,0,-2,2)
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Energy Properties

Formation Energy/atom
-1.32094
eV/atom
Energy/atom
-10.29756
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-10.2976
eV/atom
Volume/atom
10.39
ų
c/a Ratio
0.3820

Electronic Properties

Metallic
Non-metal
Band Gap
4.250
eV
Direct Gap
No
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
234.569
GPa
GVRH
122.364
GPa
Young's Modulus E
312.716
GPa
Poisson Ratio ν
0.278
Pugh Ratio K/G
1.917
Vickers Hardness Est.
12.547
GPa
Ductility
Brittle
Anisotropy
0.361
Lame λ
152.993
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
N · 0.571
Element Family
Metalloid-Nonmetal
Solute Fraction
0.429
Interstitial Fraction
1.000

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.3610
Homogeneous Poisson ν
0.2780
Debye Temperature
939.1
K
Sound Velocity
6,885.8
m/s
Homogeneity
0.2780

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-988
Reference Citation

The crystal structure and related material properties of Si3N4 were obtained from the Materials Project database (MP-ID: mp-988, 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_Si3N4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.60454420
_cell_length_b   7.60454467
_cell_length_c   2.90519908
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999909
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Si3N4
_chemical_formula_sum   'Si6 N8'
_cell_volume   145.49663109
_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
  Si  Si0  1  0.23108242  0.82494614  0.75000000  1.0
  Si  Si1  1  0.40613627  0.23108242  0.25000000  1.0
  Si  Si2  1  0.82494614  0.59386373  0.25000000  1.0
  Si  Si3  1  0.17505386  0.40613627  0.75000000  1.0
  Si  Si4  1  0.59386373  0.76891758  0.75000000  1.0
  Si  Si5  1  0.76891758  0.17505386  0.25000000  1.0
  N  N6  1  0.33333300  0.66666700  0.75000000  1.0
  N  N7  1  0.66666700  0.33333300  0.25000000  1.0
  N  N8  1  0.96919448  0.66985339  0.75000000  1.0
  N  N9  1  0.29934008  0.96919448  0.25000000  1.0
  N  N10  1  0.66985339  0.70065992  0.25000000  1.0
  N  N11  1  0.33014661  0.29934008  0.75000000  1.0
  N  N12  1  0.03080552  0.33014661  0.25000000  1.0
  N  N13  1  0.70065992  0.03080552  0.75000000  1.0
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