Optical constants

Refractive index of Si (Silicon)

Green 2008: n,k 0.25–1.45 µm

Data
tabulated nk
Range
0.25–1.45 µm
Points
121
Temperature
300 K
State
crystalline
Licence
CC0-1.0
Lightsmith
bundled, default

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.25–1.45 µm
Refractive index n
3.969
Extinction coefficient k
0.0214273
Permittivity ε1
15.7525
Permittivity ε2
0.17009
Absorption coefficient α
4582.43 cm⁻¹
Penetration depth δ = λ/(2πk)
4364.5 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-2.5 µm⁻¹
Group index ng
5.438
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# Si (Silicon): Green 2008: n,k 0.25–1.45 µm
si = ls.LibraryMaterial(name="Si", dataset="Green-2008")
print(si.range_nm)  # (250, 1450) nm
eps = si.eps([633])  # complex permittivity

Ships with the library: works offline and is the library's own default dataset choice.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Comments and conditions

Combination of data sets enforcing KK consistency. 300 K (27 °C). k is for band-to-band absorption.

Conditions

temperature
300 K

References

M. A. Green. Self-consistent optical parameters of intrinsic silicon at 300K including temperature coefficients. Sol. Energ. Mat. Sol. Cells 92, 1305–1310 (2008)
  • doi:10.1016/j.solmat.2008.06.009 Self-consistent optical parameters of intrinsic silicon at 300K including temperature coefficients, Solar Energy Materials and Solar Cells (2008)

Cite

Martin A. Green. Self-consistent optical parameters of intrinsic silicon at 300K including temperature coefficients. Solar Energy Materials and Solar Cells, 92, 1305-1310 (2008), doi:10.1016/j.solmat.2008.06.009; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

121 rows as published
Si (Silicon), Green 2008: n,k 0.25–1.45 µm: n and k versus wavelength
λ (µm)nk
0.251.6653.665
0.261.7574.084
0.272.0684.68
0.282.9595.287
0.294.3565.286
0.34.9764.234
0.315.1213.598
0.325.1123.303
0.335.1953.1
0.345.3012.977
0.355.4942.938
0.366.0262.966
0.376.8912.171
0.386.6160.946
0.396.0390.445
0.45.6130.296
0.415.330.227
0.425.1190.176
0.434.9490.138
0.444.8120.107
0.454.6910.086302
0.464.5870.071381
0.474.4970.062086
0.484.4190.055004
0.494.350.049131
0.54.2940.044165
0.514.2410.039367
0.524.1930.036415
0.534.1510.033108
0.544.1120.030295
0.554.0770.027968
0.564.0450.025758
0.574.0150.024131
0.583.9880.022524
0.593.9630.021081
0.63.940.019934
0.613.9180.018446
0.623.8980.017367
0.633.8790.016444
0.643.8610.015432
0.653.8440.014431
0.663.8280.013498
0.673.8130.012743
0.683.7980.011905
0.693.7840.011201
0.73.7720.010528
0.713.7590.010057
0.723.7480.0096257
0.733.7370.0089461
0.743.7270.008362
0.753.7170.0078185
0.763.7080.007197
0.773.6990.0067402
0.783.6910.0063933
0.793.6830.005834
0.83.6750.0054113
0.813.6680.0049955
0.823.6610.0046134
0.833.6540.0042734
0.843.6470.0039439
0.853.6410.003612
0.863.6350.0032781
0.873.630.0029839
0.883.6240.0026821
0.893.6190.0024293
0.93.6140.0021701
0.913.6090.0019625
0.923.6040.0017571
0.933.60.0015467
0.943.5950.0013689
0.953.5910.0011793
0.963.5870.0010237
0.973.5830.00087225
0.983.5790.00074866
0.993.5750.00062238
1.03.5720.0005093
1.013.5680.00041071
1.023.5650.00032386
1.033.5620.00024753
1.043.5590.00018704
1.053.5560.0001362
1.063.5539.3631e-05
1.073.556.8118e-05
1.083.5475.3285e-05
1.093.5454.0768e-05
1.13.5423.0637e-05
1.113.542.3849e-05
1.123.5371.7825e-05
1.133.5351.3488e-05
1.143.5329.0718e-06
1.153.536.223e-06
1.163.5283.877e-06
1.173.5262.0483e-06
1.183.5246.1036e-07
1.193.5223.4091e-07
1.23.522.1008e-07
1.213.5181.2518e-07
1.223.5177.9609e-08
1.233.5154.6004e-08
1.243.5132.3682e-08
1.253.5119.9472e-09
1.263.5093.6096e-09
1.273.5082.0213e-09
1.283.5061.2223e-09
1.293.5057.2885e-10
1.33.5034.6553e-10
1.313.5022.8147e-10
1.323.51.6807e-10
1.333.4998.467e-11
1.343.4973.7322e-11
1.353.4961.8263e-11
1.363.4951.0281e-11
1.373.4946.5413e-12
1.383.4924.173e-12
1.393.4912.5441e-12
1.43.491.5597e-12
1.413.4899.5374e-13
1.423.4885.65e-13
1.433.4872.8449e-13
1.443.4862.0626e-13
1.453.4851.3846e-13

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—