Optical constants

Refractive index of C (Carbon, diamond, graphite, graphene, carbon nanotubes)

Song et al. 2020: CNT film, HiPco grown; n,k 0.370–1.69 µm

Data
tabulated nk
Range
0.371–1.687 µm
Points
594
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.371–1.687 µm
Refractive index n
1.71
Extinction coefficient k
0.56
Permittivity ε1
2.6105
Permittivity ε2
1.9152
Absorption coefficient α
119761 cm⁻¹
Penetration depth δ = λ/(2πk)
166.999 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0 µm⁻¹
Group index ng
1.71
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

# C (Carbon, diamond, graphite, graphene, carbon nanotubes): Song et al. 2020: CNT film, HiPco grown; n,k 0.370–1.69 µm
c = ls.fetch_refractiveindex("main", "C", "Song-HiPco", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c.range_nm)  # (370.96, 1687.24) nm
eps = c.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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

Carbon nanotubes. High-pressure carbon monoxide (HiPco) grown semiconducting single wall carbon nanotube (s-SWCNT) film on Si/SiO2 substrate.

Conditions

substrate
Si/SIO2

References

B. Song, F. Liu, H. Wang, J. Miao, Y. Chen, P. Kumar, H. Zhang, X. Liu, H. Gu, E. A. Stach, X. Liang, S. Liu, Z. Fakhraai, D. Jariwala. Giant gate-tunability of complex refractive index in semiconducting carbon nanotubes. ACS Photonics 7, 2896-2905 (2020) (See Supporting information)

Cite

Baokun Song et al.. Giant Gate-Tunability of Complex Refractive Index in Semiconducting Carbon Nanotubes. ACS Photonics, 7, 2896-2905 (2020), doi:10.1021/acsphotonics.0c01220; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

594 rows as published
C (Carbon, diamond, graphite, graphene, carbon nanotubes), Song et al. 2020: CNT film, HiPco grown; n,k 0.370–1.69 µm: n and k versus wavelength
λ (µm)nk
0.370962.240.83
0.372542.240.8
0.374122.250.78
0.375712.260.76
0.377292.260.73
0.378872.260.71
0.380452.270.69
0.382042.270.67
0.383622.270.65
0.38522.270.63
0.386792.270.62
0.388372.260.6
0.389952.260.58
0.391542.260.57
0.393122.250.55
0.39472.250.53
0.396292.250.52
0.397872.240.51
0.399462.240.49
0.401042.230.48
0.402622.220.47
0.404212.220.46
0.405792.210.45
0.407382.210.44
0.408962.20.43
0.410552.190.42
0.412132.190.41
0.413722.180.4
0.41532.180.39
0.416892.170.38
0.418482.160.38
0.420062.160.37
0.421652.150.36
0.423232.140.35
0.424822.140.35
0.426412.130.34
0.427992.120.34
0.429582.120.33
0.431172.110.33
0.432752.10.32
0.434342.10.32
0.435932.090.31
0.437512.080.31
0.43912.080.3
0.440692.070.3
0.442282.060.3
0.443862.060.29
0.445452.050.29
0.447042.040.29
0.448632.040.28
0.450222.030.28
0.45182.020.28
0.453392.020.28
0.454982.010.27
0.456572.00.27
0.458162.00.27
0.459751.990.27
0.461331.980.27
0.462921.980.27
0.464511.970.26
0.46611.960.26
0.467691.960.26
0.469281.950.26
0.470871.950.26
0.472461.940.26
0.474051.930.26
0.475641.930.26
0.477231.920.26
0.478821.910.26
0.480411.910.26
0.4821.90.26
0.483591.90.26
0.485181.890.26
0.486771.880.26
0.488361.880.26
0.489951.870.27
0.491541.860.27
0.493131.860.27
0.494721.850.27
0.496311.850.27
0.49791.840.27
0.499491.830.28
0.501081.830.28
0.502671.820.28
0.504261.820.28
0.505851.810.29
0.507441.80.29
0.509041.80.29
0.510631.790.3
0.512221.790.3
0.513811.780.3
0.51541.780.31
0.516991.770.31
0.518581.770.31
0.520181.760.32
0.521771.760.32
0.523361.750.33
0.524951.750.33
0.526541.740.34
0.528131.740.34
0.529731.730.35
0.531321.730.35
0.532911.720.36
0.53451.720.37
0.536091.720.37
0.537691.710.38
0.539281.710.38
0.540871.710.39
0.542461.70.4
0.544061.70.4
0.545651.70.41
0.547241.70.42
0.548831.690.42
0.550431.690.43
0.552021.690.44
0.553611.690.44
0.55521.690.45
0.55681.690.46
0.558391.690.46
0.559981.690.47
0.561581.690.48
0.563171.690.48
0.564761.690.49
0.566361.690.5
0.567951.690.5
0.569541.690.51
0.571131.690.51
0.572731.70.52
0.574321.70.52
0.575911.70.53
0.577511.70.53
0.57911.70.54
0.580691.70.54
0.582291.70.55
0.583881.710.55
0.585471.710.55
0.587071.710.56
0.588661.710.56
0.590251.710.56
0.591851.710.57
0.593441.710.57
0.595031.710.57
0.596631.710.58
0.598221.710.58
0.599811.710.58
0.601411.710.59
0.6031.70.59
0.60461.70.6
0.606191.70.6
0.607781.70.61
0.609381.70.61
0.610971.690.62
0.612561.690.63
0.614161.690.63
0.615751.690.64
0.617341.680.65
0.618941.680.66
0.620531.680.67
0.622131.680.69
0.623721.680.7
0.625311.680.71
0.626911.680.73
0.62851.680.74
0.630091.680.76
0.631691.690.78
0.633281.70.8
0.634871.710.82
0.636471.720.83
0.638061.740.85
0.639651.750.87
0.641251.770.88
0.642841.80.9
0.644441.820.91
0.646031.850.92
0.647621.880.92
0.649221.90.92
0.650811.930.92
0.65241.960.91
0.6541.990.9
0.655592.010.89
0.657182.040.87
0.658782.060.85
0.660372.070.83
0.661962.090.81
0.663562.10.79
0.665152.10.77
0.666742.110.75
0.668342.110.72
0.669932.110.7
0.671522.10.68
0.673122.10.67
0.674712.090.65
0.67632.080.64
0.67792.070.62
0.679492.060.61
0.681082.050.6
0.682672.040.59
0.684272.030.59
0.685862.020.58
0.687452.00.58
0.689051.990.58
0.690641.980.58
0.692231.960.58
0.693821.950.58
0.695421.940.58
0.697011.930.59
0.69861.920.6
0.70021.910.6
0.701791.90.61
0.703381.890.62
0.704971.880.64
0.706571.870.65
0.708161.870.67
0.709751.860.68
0.711341.860.7
0.712931.860.72
0.714531.870.74
0.716121.870.76
0.717711.880.78
0.71931.90.8
0.720891.910.82
0.722491.930.83
0.724081.950.85
0.725671.980.86
0.727262.010.86
0.728852.030.87
0.730442.060.86
0.732042.090.86
0.733632.120.85
0.735222.140.83
0.736812.160.81
0.73842.180.8
0.739992.190.77
0.741582.20.75
0.743172.210.73
0.744772.220.71
0.746362.220.69
0.747952.220.66
0.749542.220.64
0.751132.210.63
0.752722.210.61
0.754312.20.59
0.75592.190.58
0.757492.180.57
0.759082.170.55
0.760672.160.54
0.762262.150.54
0.763852.140.53
0.765442.130.52
0.767032.120.51
0.768622.110.51
0.770212.10.51
0.77182.090.5
0.773392.080.5
0.774982.070.5
0.776572.060.5
0.778162.050.5
0.779752.040.5
0.781332.030.5
0.782922.020.51
0.784512.010.51
0.78612.00.51
0.787692.00.52
0.789281.990.52
0.790871.980.53
0.792461.980.54
0.794041.970.55
0.795631.970.55
0.797221.970.56
0.798811.970.57
0.80041.970.58
0.801981.970.59
0.803571.970.59
0.805161.980.6
0.806751.990.6
0.808331.990.61
0.809922.00.61
0.811512.010.61
0.813092.010.6
0.814682.020.6
0.816272.020.59
0.817862.020.59
0.819442.020.58
0.821032.020.58
0.822612.020.57
0.82422.020.57
0.825792.010.56
0.827372.010.56
0.828962.010.56
0.830542.00.55
0.832132.00.55
0.833721.990.55
0.83531.990.55
0.836891.980.55
0.838471.980.55
0.840061.970.55
0.841641.970.55
0.843231.960.55
0.844811.960.55
0.846391.950.55
0.847981.950.56
0.849561.950.56
0.851151.940.56
0.852731.940.56
0.854311.930.56
0.85591.930.57
0.857481.930.57
0.859071.920.57
0.860651.920.57
0.862231.920.58
0.863811.920.58
0.86541.910.58
0.866981.910.58
0.868561.910.59
0.870141.90.59
0.871731.90.59
0.873311.90.6
0.874891.90.6
0.876471.890.6
0.878051.890.61
0.879641.890.61
0.881221.890.61
0.88281.890.61
0.884381.880.62
0.885961.880.62
0.887541.880.62
0.889121.880.63
0.89071.870.63
0.892281.870.63
0.893861.870.64
0.895441.870.64
0.897021.870.64
0.89861.860.65
0.900181.860.65
0.901761.860.65
0.903341.860.66
0.904921.860.66
0.90651.860.67
0.908081.850.67
0.909651.850.67
0.911231.850.68
0.912811.850.68
0.914391.850.68
0.915971.840.69
0.917541.840.69
0.919121.840.7
0.92071.840.7
0.922281.840.71
0.923851.840.71
0.925431.840.72
0.927011.830.72
0.928581.830.72
0.930161.830.73
0.931731.830.73
0.933311.830.74
0.934891.830.74
0.936461.830.75
0.938041.820.75
0.939611.820.76
0.941191.820.76
0.942761.820.77
0.944331.820.78
0.945911.820.78
0.947481.820.79
0.949061.820.79
0.950631.820.8
0.95221.820.8
0.953781.820.81
0.955351.820.82
0.956921.820.82
0.95851.820.83
0.960071.820.83
0.961641.820.84
0.963211.820.84
0.964791.820.85
0.966361.820.86
0.967931.820.86
0.96951.820.87
0.971071.820.87
0.972641.830.88
0.974211.830.89
0.975781.830.89
0.977351.830.9
0.978921.830.9
0.980491.830.91
0.982061.830.92
0.983631.840.92
0.98521.840.93
0.986771.840.93
0.988341.840.94
0.989911.840.94
0.991481.840.95
0.993041.850.96
0.994611.850.96
0.996181.850.97
0.997751.850.97
0.999311.850.98
1.013131.871.04
1.016541.871.06
1.019941.881.08
1.023351.891.1
1.026751.91.12
1.030161.911.14
1.033571.931.17
1.036971.961.19
1.040381.991.2
1.043792.031.21
1.04722.071.21
1.050612.11.2
1.054022.131.18
1.057432.151.15
1.060842.151.12
1.064252.151.09
1.067662.141.07
1.071072.121.06
1.074482.11.05
1.077892.071.05
1.08132.041.06
1.084712.021.08
1.088131.991.1
1.091541.971.13
1.094951.951.16
1.098371.941.21
1.101781.921.26
1.10521.921.31
1.108611.931.37
1.112031.941.43
1.115441.971.5
1.118862.011.57
1.122272.061.63
1.125692.121.69
1.129112.21.74
1.132522.291.78
1.135942.391.8
1.139362.491.8
1.142782.591.78
1.14622.681.75
1.149612.761.7
1.153032.831.63
1.156452.871.57
1.159872.911.5
1.163292.921.43
1.166712.931.38
1.170142.921.33
1.173562.911.29
1.176982.91.27
1.18042.891.26
1.183822.891.26
1.187252.91.27
1.190672.921.27
1.194092.961.27
1.197523.011.25
1.200943.051.22
1.204363.091.17
1.207793.111.11
1.211213.121.04
1.214643.120.98
1.218073.10.93
1.221493.070.89
1.224923.040.85
1.228353.010.82
1.231772.970.81
1.23522.940.8
1.238632.910.79
1.242062.880.79
1.245492.850.8
1.248912.830.82
1.252342.810.84
1.255772.80.86
1.25922.790.88
1.262632.790.91
1.266062.80.94
1.26952.810.97
1.272932.841.0
1.276362.871.02
1.279792.911.04
1.283222.951.05
1.286663.01.05
1.290093.041.04
1.293523.091.02
1.296963.131.0
1.300393.170.96
1.303833.210.93
1.307263.230.88
1.31073.250.84
1.314133.270.8
1.317573.280.75
1.3213.280.71
1.324443.280.67
1.327883.270.63
1.331323.270.6
1.334753.260.56
1.338193.250.53
1.341633.230.5
1.345073.220.48
1.348513.210.45
1.351953.190.43
1.355393.180.41
1.358833.160.39
1.362273.150.38
1.365713.130.36
1.369153.120.35
1.372593.10.33
1.376033.090.32
1.379483.080.31
1.382923.060.3
1.386363.050.29
1.389813.040.28
1.393253.030.27
1.396693.010.26
1.400143.00.26
1.403582.990.25
1.407032.980.24
1.410472.970.24
1.413922.960.23
1.417362.950.22
1.420812.940.22
1.424262.930.21
1.427712.920.21
1.431152.910.21
1.43462.90.2
1.438052.890.2
1.44152.880.19
1.444952.870.19
1.44842.870.19
1.451852.860.18
1.45532.850.18
1.458752.840.18
1.46222.840.17
1.465652.830.17
1.46912.820.17
1.472552.810.17
1.4762.810.16
1.479452.80.16
1.482912.790.16
1.486362.790.16
1.489812.780.15
1.493272.770.15
1.496722.770.15
1.500182.760.15
1.503632.760.15
1.507092.750.14
1.510542.750.14
1.5142.740.14
1.517452.730.14
1.520912.730.14
1.524372.720.14
1.527832.720.13
1.531282.710.13
1.534742.710.13
1.53822.70.13
1.541662.70.13
1.545122.690.13
1.548582.690.13
1.552042.680.12
1.55552.680.12
1.558962.670.12
1.562422.670.12
1.565882.670.12
1.569342.660.12
1.57282.660.12
1.576262.650.12
1.579732.650.12
1.583192.640.11
1.586652.640.11
1.590122.640.11
1.593582.630.11
1.597042.630.11
1.600512.620.11
1.603972.620.11
1.607442.620.11
1.610912.610.11
1.614372.610.11
1.617842.60.11
1.62132.60.11
1.624772.60.1
1.628242.590.1
1.631712.590.1
1.635182.590.1
1.638642.580.1
1.642112.580.1
1.645582.580.1
1.649052.570.1
1.652522.570.1
1.655992.570.1
1.659462.560.1
1.662932.560.1
1.66642.560.1
1.669882.550.1
1.673352.550.09
1.676822.550.09
1.680292.540.09
1.683772.540.09
1.687242.540.09

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
—