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Si

Elasticity Data ELA

MP-ID: mp-999200 · Space group: I4/mmm (#139)

Basic Information

Formula
Si
MP-ID
mp-999200
Elements
1
Sites
4
Density
2.1938
g/cm³
Volume
85.04
ų
Cell a
3.8448
Å
Cell b
5.0806
Å
Cell c
5.0806
Å
α Angle
81.77
°
β Angle
67.77
°
γ Angle
67.77
°
Space Group
I4/mmm
Point Group
4/mmm
Crystal System
Tetragonal
Bravais Lattice
tI
Stability
No
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
18.87 4.7029 22.9 (0,1,0)
26.78 3.3286 24.0 (1,0,0)
26.78 3.3286 71.9 (1,1,0)
26.81 3.3254 100.0 (0,1,1)
38.26 2.3526 13.4 (1,0,-1)
38.26 2.3526 13.4 (1,2,0)
38.28 2.3514 14.0 (0,2,0)
43.01 2.1032 22.8 (0,2,1)
47.28 1.9224 24.1 (2,1,1)
47.33 1.9206 68.3 (1,-1,-1)
47.33 1.9206 22.8 (1,2,2)
51.35 1.7795 2.6 (2,1,0)
55.19 1.6643 5.9 (2,0,0)
55.19 1.6643 11.8 (2,2,0)
55.19 1.6643 5.9 (2,2,2)
55.23 1.6631 22.3 (1,0,-2)
55.23 1.6631 22.3 (1,3,0)
55.25 1.6627 1.4 (0,2,2)
58.91 1.5676 22.2 (0,3,0)
62.39 1.4883 3.2 (2,1,-1)
62.39 1.4883 3.2 (2,3,1)
65.82 1.4190 6.3 (2,0,-1)
65.82 1.4190 3.2 (2,3,0)
65.82 1.4190 3.2 (2,3,2)
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Energy Properties

Formation Energy/atom
0.11663
eV/atom
Energy/atom
-8.65713
eV/atom
Energy above Hull
0.1166
eV/atom
Uncorrected Energy
-8.6571
eV/atom
Volume/atom
21.26
ų
c/a Ratio
1.3214

Electronic Properties

Metallic
Non-metal
Band Gap
0.261
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
81.337
GPa
GVRH
46.823
GPa
Young's Modulus E
117.854
GPa
Poisson Ratio ν
0.259
Pugh Ratio K/G
1.737
Vickers Hardness Est.
6.946
GPa
Ductility
Ductile
Anisotropy
0.294
Lame λ
50.122
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Si · 1.000
Element Family
Metalloid-Nonmetal
Solute Fraction
0.000
Interstitial Fraction
1.000

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.2940
Homogeneous Poisson ν
0.2590
Debye Temperature
551.6
K
Sound Velocity
5,134.1
m/s
Homogeneity
0.2590

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-999200
Reference Citation

The crystal structure and related material properties of Si were obtained from the Materials Project database (MP-ID: mp-999200, 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_Si
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.84477132
_cell_length_b   5.08062223
_cell_length_c   5.08062223
_cell_angle_alpha   81.76877790
_cell_angle_beta   67.76688585
_cell_angle_gamma   67.76688585
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Si
_chemical_formula_sum   Si4
_cell_volume   85.03542034
_cell_formula_units_Z   4
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  0.17880106  0.64239788  0.00000000  1.0
  Si  Si1  1  0.82119894  0.35760212  -0.00000000  1.0
  Si  Si2  1  0.82119894  -0.00000000  0.35760212  1.0
  Si  Si3  1  0.17880106  -0.00000000  0.64239788  1.0
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