Optical constants
Refractive index of C (Carbon, diamond, graphite, graphene, carbon nanotubes)
Dore et al. 1998: Polycrystalline CVD diamond; n,k 2.5–500 µm
- Data
- tabulated nk
- Range
- 2.5–500 µm
- Points
- 241
- State
- polycrystalline
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.36485
- Extinction coefficient k
- 0.000206268
- Permittivity ε1
- 5.59252
- Permittivity ε2
- 0.000975584
- Absorption coefficient α
- 0.732214 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 2.73144e+07 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0005 µm⁻¹
- Group index ng
- 2.38255
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 0.0350238 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): Dore et al. 1998: Polycrystalline CVD diamond; n,k 2.5–500 µm
c = ls.fetch_refractiveindex("main", "C", "Dore", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c.range_nm) # (2500, 500000) nm
eps = c.eps([35400]) # complex permittivity
Downloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_6e6fe74d358f/lightsmith"
c = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (c/dore-1998).
# ... load c as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=2500, stop_nm=500000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
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
References
- doi:10.1364/ao.37.005731 Infrared properties of chemical-vapor deposition polycrystalline diamond windows, Applied Optics (1998)
Cite
Paolo Dore et al.. Infrared properties of chemical-vapor deposition polycrystalline diamond windows. Applied Optics, 37, 5731 (1998), doi:10.1364/ao.37.005731; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
241 rows as published| λ (µm) | n | k |
|---|---|---|
| 2.5 | 2.4117 | 3.1e-05 |
| 2.52 | 2.4138 | 3.17e-05 |
| 2.53 | 2.4149 | 3.33e-05 |
| 2.54 | 2.4159 | 3.39e-05 |
| 2.55 | 2.4175 | 3.45e-05 |
| 2.56 | 2.4191 | 3.545e-05 |
| 2.57 | 2.4204 | 3.64e-05 |
| 2.58 | 2.4218 | 3.78e-05 |
| 2.59 | 2.4228 | 3.92e-05 |
| 2.61 | 2.4247 | 4.2e-05 |
| 2.62 | 2.4257 | 4.59e-05 |
| 2.64 | 2.4282 | 4.98e-05 |
| 2.65 | 2.4294 | 5.39e-05 |
| 2.66 | 2.4306 | 5.78e-05 |
| 2.68 | 2.4329 | 6.3e-05 |
| 2.7 | 2.4351 | 6.89e-05 |
| 2.71 | 2.4364 | 7.26e-05 |
| 2.73 | 2.4391 | 7.52e-05 |
| 2.74 | 2.4403 | 7.65e-05 |
| 2.76 | 2.4427 | 7.7633e-05 |
| 2.77 | 2.4437 | 7.82e-05 |
| 2.79 | 2.4456 | 7.86e-05 |
| 2.81 | 2.447 | 7.9e-05 |
| 2.83 | 2.4483 | 7.92e-05 |
| 2.86 | 2.451 | 7.95e-05 |
| 2.88 | 2.454 | 8.0233e-05 |
| 2.89 | 2.4552 | 8.06e-05 |
| 2.91 | 2.4576 | 8.2267e-05 |
| 2.92 | 2.4588 | 8.31e-05 |
| 2.93 | 2.46 | 8.385e-05 |
| 2.94 | 2.4616 | 8.46e-05 |
| 2.96 | 2.4632 | 8.61e-05 |
| 2.97 | 2.4645 | 8.72e-05 |
| 2.99 | 2.465 | 8.94e-05 |
| 3.0 | 2.4652 | 9.05e-05 |
| 3.02 | 2.4655 | 9.298e-05 |
| 3.05 | 2.466 | 9.67e-05 |
| 3.08 | 2.466 | 9.856e-05 |
| 3.1 | 2.4659 | 9.98e-05 |
| 3.11 | 2.4658 | 0.00010053 |
| 3.13 | 2.4656 | 0.000102 |
| 3.14 | 2.4655 | 0.00010267 |
| 3.16 | 2.4652 | 0.000104 |
| 3.18 | 2.4649 | 0.000104 |
| 3.19 | 2.4647 | 0.000104 |
| 3.21 | 2.4644 | 0.000104 |
| 3.23 | 2.4633 | 0.000104 |
| 3.25 | 2.4623 | 0.0001035 |
| 3.27 | 2.4621 | 0.000103 |
| 3.28 | 2.462 | 0.00010286 |
| 3.31 | 2.4625 | 0.00010243 |
| 3.34 | 2.4635 | 0.000102 |
| 3.36 | 2.4648 | 0.00010109 |
| 3.37 | 2.4661 | 0.00010063 |
| 3.39 | 2.4675 | 9.9714e-05 |
| 3.41 | 2.4685 | 9.88e-05 |
| 3.44 | 2.4689 | 9.7257e-05 |
| 3.48 | 2.469 | 9.52e-05 |
| 3.5 | 2.4685 | 9.445e-05 |
| 3.52 | 2.4677 | 9.37e-05 |
| 3.56 | 2.4663 | 9.22e-05 |
| 3.59 | 2.465 | 9.13e-05 |
| 3.63 | 2.4627 | 9.01e-05 |
| 3.64 | 2.4626 | 8.98e-05 |
| 3.69 | 2.4621 | 8.89e-05 |
| 3.73 | 2.461 | 8.93e-05 |
| 3.75 | 2.4604 | 9.17e-05 |
| 3.76 | 2.4601 | 9.545e-05 |
| 3.77 | 2.4598 | 9.92e-05 |
| 3.78 | 2.4596 | 0.000113 |
| 3.8 | 2.459 | 0.000133 |
| 3.82 | 2.4585 | 0.000149 |
| 3.85 | 2.4577 | 0.000164 |
| 3.86 | 2.4556 | 0.0001705 |
| 3.87 | 2.4553 | 0.000177 |
| 3.89 | 2.4546 | 0.000188 |
| 3.94 | 2.4519 | 0.000204 |
| 3.95 | 2.4514 | 0.00020533 |
| 3.97 | 2.4496 | 0.000208 |
| 4.0 | 2.4491 | 0.000212 |
| 4.01 | 2.449 | 0.0002125 |
| 4.04 | 2.4474 | 0.000214 |
| 4.06 | 2.4451 | 0.000215 |
| 4.12 | 2.4445 | 0.00021071 |
| 4.13 | 2.4444 | 0.00021 |
| 4.17 | 2.4442 | 0.000198 |
| 4.18 | 2.4441 | 0.000193 |
| 4.22 | 2.4412 | 0.000173 |
| 4.25 | 2.4392 | 0.000159 |
| 4.27 | 2.4379 | 0.00015633 |
| 4.28 | 2.4371 | 0.000155 |
| 4.3 | 2.4355 | 0.000162 |
| 4.32 | 2.434 | 0.000179 |
| 4.34 | 2.4324 | 0.000209 |
| 4.35 | 2.4318 | 0.000224 |
| 4.39 | 2.4295 | 0.000283 |
| 4.41 | 2.4283 | 0.0003082 |
| 4.44 | 2.4265 | 0.000346 |
| 4.48 | 2.424 | 0.0003868 |
| 4.49 | 2.4234 | 0.000397 |
| 4.52 | 2.4215 | 0.0004252 |
| 4.54 | 2.4204 | 0.000444 |
| 4.56 | 2.4192 | 0.000461 |
| 4.6 | 2.4155 | 0.000495 |
| 4.64 | 2.4131 | 0.000536 |
| 4.7 | 2.4114 | 0.000452 |
| 4.71 | 2.4111 | 0.0004275 |
| 4.72 | 2.4108 | 0.000403 |
| 4.76 | 2.4095 | 0.000396 |
| 4.79 | 2.409 | 0.000401 |
| 4.82 | 2.4086 | 0.00041525 |
| 4.83 | 2.4086 | 0.00042 |
| 4.88 | 2.4084 | 0.000479 |
| 4.89 | 2.4084 | 0.0004906 |
| 4.93 | 2.4087 | 0.000537 |
| 4.95 | 2.4089 | 0.000551 |
| 4.96 | 2.4089 | 0.000558 |
| 5.03 | 2.4092 | 0.00055 |
| 5.07 | 2.4096 | 0.00055 |
| 5.13 | 2.4101 | 0.000506 |
| 5.22 | 2.4113 | 0.00040838 |
| 5.26 | 2.413 | 0.000365 |
| 5.28 | 2.4138 | 0.00035386 |
| 5.3 | 2.4155 | 0.00034271 |
| 5.34 | 2.4164 | 0.00032043 |
| 5.4 | 2.4174 | 0.000287 |
| 5.42 | 2.4177 | 0.0002758 |
| 5.46 | 2.4188 | 0.0002534 |
| 5.53 | 2.4193 | 0.0002142 |
| 5.55 | 2.4194 | 0.000203 |
| 5.63 | 2.4198 | 0.0001805 |
| 5.67 | 2.4207 | 0.00016925 |
| 5.7 | 2.4216 | 0.00016081 |
| 5.71 | 2.4218 | 0.000158 |
| 5.74 | 2.4222 | 0.00015324 |
| 5.82 | 2.4225 | 0.00014053 |
| 5.87 | 2.4223 | 0.00013259 |
| 5.88 | 2.4222 | 0.000131 |
| 5.94 | 2.4216 | 0.000125 |
| 6.05 | 2.4213 | 0.000114 |
| 6.06 | 2.4213 | 0.000113 |
| 6.18 | 2.4212 | 0.00010416 |
| 6.25 | 2.42 | 9.9e-05 |
| 6.27 | 2.4197 | 9.766e-05 |
| 6.3 | 2.4174 | 9.565e-05 |
| 6.36 | 2.4152 | 9.163e-05 |
| 6.45 | 2.4139 | 8.56e-05 |
| 6.48 | 2.4135 | 8.4836e-05 |
| 6.59 | 2.4111 | 8.2036e-05 |
| 6.67 | 2.4086 | 8e-05 |
| 6.7 | 2.4068 | 7.9843e-05 |
| 6.78 | 2.4063 | 7.9426e-05 |
| 6.89 | 2.4056 | 7.8852e-05 |
| 6.9 | 2.4056 | 7.88e-05 |
| 7.08 | 2.4053 | 7.8275e-05 |
| 7.14 | 2.405 | 7.81e-05 |
| 7.35 | 2.4038 | 7.8504e-05 |
| 7.4 | 2.4032 | 7.86e-05 |
| 7.51 | 2.402 | 7.8676e-05 |
| 7.69 | 2.4005 | 7.88e-05 |
| 7.7 | 2.4004 | 7.8784e-05 |
| 7.9 | 2.3991 | 7.8461e-05 |
| 8.0 | 2.3971 | 7.83e-05 |
| 8.03 | 2.3965 | 7.8255e-05 |
| 8.13 | 2.3942 | 7.8103e-05 |
| 8.23 | 2.3922 | 7.7952e-05 |
| 8.31 | 2.3908 | 7.783e-05 |
| 8.33 | 2.3907 | 7.78e-05 |
| 8.42 | 2.39 | 7.8311e-05 |
| 8.57 | 2.3891 | 7.9162e-05 |
| 8.7 | 2.3887 | 7.99e-05 |
| 8.79 | 2.3884 | 8.035e-05 |
| 9.02 | 2.3867 | 8.15e-05 |
| 9.1 | 2.3859 | 8.19e-05 |
| 9.26 | 2.3843 | 8.2533e-05 |
| 9.41 | 2.3822 | 8.3126e-05 |
| 9.51 | 2.3809 | 8.3521e-05 |
| 9.53 | 2.3806 | 8.36e-05 |
| 9.6 | 2.3796 | 8.3957e-05 |
| 9.71 | 2.3782 | 8.4519e-05 |
| 9.89 | 2.377 | 8.5438e-05 |
| 10.0 | 2.3765 | 8.6e-05 |
| 10.1 | 2.3761 | 8.654e-05 |
| 10.3 | 2.3756 | 8.762e-05 |
| 10.5 | 2.3757 | 8.87e-05 |
| 10.8 | 2.3761 | 9.045e-05 |
| 11.1 | 2.3762 | 9.22e-05 |
| 11.3 | 2.3759 | 9.3314e-05 |
| 11.6 | 2.3746 | 9.4986e-05 |
| 11.8 | 2.3733 | 9.61e-05 |
| 11.9 | 2.372 | 9.6614e-05 |
| 12.1 | 2.3716 | 9.7643e-05 |
| 12.5 | 2.3716 | 9.97e-05 |
| 12.6 | 2.3716 | 0.00010024 |
| 13.1 | 2.3717 | 0.00010292 |
| 13.3 | 2.372 | 0.000104 |
| 13.7 | 2.3725 | 0.0001064 |
| 14.3 | 2.3737 | 0.00011 |
| 14.8 | 2.3746 | 0.00011273 |
| 15.3 | 2.3762 | 0.00011545 |
| 15.4 | 2.3768 | 0.000116 |
| 15.7 | 2.3786 | 0.00011669 |
| 15.9 | 2.3802 | 0.00011715 |
| 16.3 | 2.381 | 0.00011808 |
| 16.7 | 2.3811 | 0.000119 |
| 16.8 | 2.3811 | 0.0001194 |
| 17.4 | 2.3805 | 0.0001218 |
| 18.2 | 2.3792 | 0.000125 |
| 18.8 | 2.3783 | 0.00012833 |
| 20.0 | 2.3772 | 0.000135 |
| 20.8 | 2.3764 | 0.00013864 |
| 21.1 | 2.3761 | 0.00014 |
| 22.2 | 2.375 | 0.000146 |
| 22.5 | 2.3747 | 0.00014857 |
| 22.6 | 2.3729 | 0.00014943 |
| 23.5 | 2.3715 | 0.00015714 |
| 24.4 | 2.3701 | 0.00016486 |
| 25.0 | 2.3696 | 0.00017 |
| 25.9 | 2.3689 | 0.000177 |
| 26.2 | 2.3687 | 0.00017833 |
| 28.6 | 2.3674 | 0.000189 |
| 28.7 | 2.3673 | 0.00018923 |
| 31.1 | 2.3667 | 0.00019485 |
| 33.3 | 2.3659 | 0.0002 |
| 35.9 | 2.3646 | 0.00020776 |
| 38.3 | 2.3641 | 0.00021493 |
| 40.0 | 2.3644 | 0.00022 |
| 42.9 | 2.3648 | 0.00022928 |
| 50.0 | 2.3658 | 0.000252 |
| 52.6 | 2.3661 | 0.00025823 |
| 61.8 | 2.3683 | 0.00028026 |
| 66.7 | 2.3701 | 0.000292 |
| 70.6 | 2.3716 | 0.00030125 |
| 79.4 | 2.3749 | 0.00032213 |
| 92.8 | 2.3776 | 0.00035392 |
| 100.0 | 2.3784 | 0.000371 |
| 117.0 | 2.3802 | 0.00040534 |
| 155.0 | 2.3822 | 0.0004821 |
| 200.0 | 2.3831 | 0.000573 |
| 229.0 | 2.3836 | 0.00061524 |
| 500.0 | 2.3845 | 0.00101 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Polycrystalline CVD diamond