Optical constants

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

Hagemann et al. 1974: n,k 0.0000413–124 µm

Data
tabulated nk
Range
4.133e-05–124 µm
Points
100
State
amorphous
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 4.133e-05–124 µm
Refractive index n
1.86025
Extinction coefficient k
0.727799
Permittivity ε1
2.93082
Permittivity ε2
2.70777
Absorption coefficient α
155647 cm⁻¹
Penetration depth δ = λ/(2πk)
128.496 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.580645 µm⁻¹
Group index ng
1.51906
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): Hagemann et al. 1974: n,k 0.0000413–124 µm
c = ls.fetch_refractiveindex("main", "C", "Hagemann", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c.range_nm)  # (0.04133, 124000) 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.

References

1) H.-J. Hagemann, W. Gudat, C. Kunz. Optical constants from the far infrared to the x-ray region: Mg, Al, Cu, Ag, Au, Bi, C, and Al2O3. J. Opt. Soc. Am. 65, 742-744 (1975)
2) H.-J. Hagemann, W. Gudat, and C. Kunz. DESY report SR-74/7 (1974)
  • doi:10.1364/josa.65.000742 Optical constants from the far infrared to the x-ray region: Mg, Al, Cu, Ag, Au, Bi, C, and Al_2O_3, Journal of the Optical Society of America (1975)

Cite

H.-J. Hagemann, W. Gudat and C. Kunz. Optical constants from the far infrared to the x-ray region: Mg, Al, Cu, Ag, Au, Bi, C, and Al_2O_3. Journal of the Optical Society of America, 65, 742 (1975), doi:10.1364/josa.65.000742; H.-J. Hagemann, W. Gudat, and C. Kunz. DESY report SR-74/7 (1974); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

100 rows as published
C (Carbon, diamond, graphite, graphene, carbon nanotubes), Hagemann et al. 1974: n,k 0.0000413–124 µm: n and k versus wavelength
λ (µm)nk
4.133e-051.03.29e-11
6.199e-051.02.17e-10
8.266e-051.07.2e-10
0.00013781.05e-09
0.00017711.01.34e-08
0.0002481.05.38e-08
0.00041331.04.48e-07
0.00061991.02.41e-06
0.00082661.08.62e-06
0.001241.04.22e-05
0.001550.9999.85e-05
0.0020660.9990.000332
0.002480.9990.000569
0.0027550.9980.000839
0.0035420.9980.00213
0.0036470.9980.00236
0.0037570.9980.00277
0.0038750.9980.00368
0.0039990.9990.00497
0.0041331.0020.00354
0.0042751.0010.000794
0.0045920.9990.000206
0.0049590.9980.000272
0.0061990.9950.000585
0.0068880.9940.000848
0.0077490.9920.00121
0.0088560.9890.00193
0.0095370.9870.00235
0.010330.9850.00282
0.011270.9820.00377
0.01240.9780.00519
0.013050.9760.00613
0.013780.9730.00725
0.014590.970.00858
0.01550.9660.0102
0.016530.9610.0121
0.017710.9550.015
0.019070.9480.02
0.020660.940.027
0.022540.9320.035
0.02480.9220.045
0.026950.9140.058
0.028180.9110.063
0.029520.9040.065
0.0310.8930.073
0.032630.8830.086
0.034440.8790.102
0.036470.8730.109
0.038750.8570.118
0.041330.8370.14
0.044280.8160.166
0.047690.7940.207
0.051660.7720.255
0.056360.7350.314
0.061990.7070.451
0.068880.7330.631
0.077490.9080.903
0.079991.0050.938
0.082661.0990.955
0.085511.1910.96
0.088561.2840.956
0.091841.3780.934
0.095371.4630.894
0.099191.5420.851
0.10331.6080.786
0.10781.6630.73
0.11271.7230.669
0.11811.7850.582
0.1241.8110.449
0.13051.7910.334
0.13781.7360.223
0.14591.6490.144
0.1551.5310.0869
0.16531.3990.101
0.17711.280.158
0.19071.1960.28
0.20661.1580.415
0.22541.1950.61
0.2481.3440.754
0.27551.5180.764
0.311.6380.723
0.35421.7060.681
0.41331.7520.678
0.49591.8070.696
0.61991.8790.739
0.82661.9740.816
1.242.2041.04
2.482.6981.18
3.12.8311.22
4.1332.9491.29
6.1993.01.51
12.42.872.79
15.52.9323.56
20.663.1594.65
31.03.4726.86
41.334.0549.31
49.594.99711.2
61.997.11512.4
82.667.48913.1
124.05.30319.2

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
—