Optical constants
Refractive index of 5CB (4-pentyl-4'-cyanobiphenyl)
Tkachenko et al. 2006: n(o) 0.532–1.7 µm
- Data
- formula 5
- Range
- 0.532–1.7 µm
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.53426
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.35396
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.099141 µm⁻¹
- Group index ng
- 1.59252
- Group velocity dispersion
- 209.782 fs²/mm
- Dispersion parameter D
- -1144.47 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
# 5CB (4-pentyl-4'-cyanobiphenyl): Tkachenko et al. 2006: n(o) 0.532–1.7 µm
mat = ls.fetch_refractiveindex("other", "5CB", "Tkachenko-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (532, 1700) nm
eps = mat.eps([633]) # 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_a56df3eba358/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (5cb/tkachenko-2006-o).
# ... load mat as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=532, stop_nm=1000, 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.
Dispersion formula
Cauchy (formula 5), λ in µmValid from 0.532 to 1.7 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.50849 |
| C2 | 0.00774 |
| C3 | -2.0 |
| C4 | 0.0004 |
| C5 | -4.0 |
Comments and conditions
Conditions
- direction
- o
References
- doi:10.1080/15421400600655816 Nematic Liquid Crystal Optical Dispersion in the Visible-Near Infrared Range, Molecular Crystals and Liquid Crystals (2006)
Cite
Volodymyr Tkachenko et al.. Nematic Liquid Crystal Optical Dispersion in the Visible-Near Infrared Range. Molecular Crystals and Liquid Crystals, 454, 263/[665]-271/[673] (2006), doi:10.1080/15421400600655816; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 400 wavelengths, the same grid as the API and the library| λ (µm) | n |
|---|---|
| 0.532 | 1.540831 |
| 0.533551 | 1.540614 |
| 0.535107 | 1.540399 |
| 0.536667 | 1.540186 |
| 0.538232 | 1.539974 |
| 0.539802 | 1.539764 |
| 0.541376 | 1.539555 |
| 0.542954 | 1.539348 |
| 0.544537 | 1.539142 |
| 0.546125 | 1.538938 |
| 0.547718 | 1.538735 |
| 0.549315 | 1.538534 |
| 0.550916 | 1.538334 |
| 0.552523 | 1.538136 |
| 0.554134 | 1.537939 |
| 0.55575 | 1.537743 |
| 0.55737 | 1.537549 |
| 0.558995 | 1.537357 |
| 0.560625 | 1.537165 |
| 0.56226 | 1.536975 |
| 0.5639 | 1.536787 |
| 0.565544 | 1.5366 |
| 0.567193 | 1.536414 |
| 0.568847 | 1.53623 |
| 0.570505 | 1.536046 |
| 0.572169 | 1.535865 |
| 0.573837 | 1.535684 |
| 0.575511 | 1.535505 |
| 0.577189 | 1.535327 |
| 0.578872 | 1.53515 |
| 0.58056 | 1.534975 |
| 0.582252 | 1.534801 |
| 0.58395 | 1.534628 |
| 0.585653 | 1.534456 |
| 0.587361 | 1.534286 |
| 0.589073 | 1.534117 |
| 0.590791 | 1.533949 |
| 0.592514 | 1.533782 |
| 0.594241 | 1.533617 |
| 0.595974 | 1.533452 |
| 0.597712 | 1.533289 |
| 0.599455 | 1.533127 |
| 0.601203 | 1.532966 |
| 0.602956 | 1.532806 |
| 0.604714 | 1.532647 |
| 0.606477 | 1.53249 |
| 0.608245 | 1.532333 |
| 0.610019 | 1.532178 |
| 0.611798 | 1.532024 |
| 0.613582 | 1.531871 |
| 0.615371 | 1.531719 |
| 0.617165 | 1.531568 |
| 0.618965 | 1.531418 |
| 0.620769 | 1.531269 |
| 0.62258 | 1.531121 |
| 0.624395 | 1.530974 |
| 0.626216 | 1.530829 |
| 0.628042 | 1.530684 |
| 0.629873 | 1.53054 |
| 0.631709 | 1.530398 |
| 0.633551 | 1.530256 |
| 0.635399 | 1.530115 |
| 0.637252 | 1.529975 |
| 0.63911 | 1.529837 |
| 0.640973 | 1.529699 |
| 0.642842 | 1.529562 |
| 0.644717 | 1.529426 |
| 0.646597 | 1.529291 |
| 0.648482 | 1.529157 |
| 0.650373 | 1.529024 |
| 0.652269 | 1.528892 |
| 0.654171 | 1.528761 |
| 0.656079 | 1.528631 |
| 0.657992 | 1.528501 |
| 0.65991 | 1.528373 |
| 0.661835 | 1.528245 |
| 0.663764 | 1.528118 |
| 0.6657 | 1.527992 |
| 0.667641 | 1.527867 |
| 0.669588 | 1.527743 |
| 0.67154 | 1.52762 |
| 0.673498 | 1.527498 |
| 0.675462 | 1.527376 |
| 0.677432 | 1.527255 |
| 0.679407 | 1.527135 |
| 0.681388 | 1.527016 |
| 0.683375 | 1.526898 |
| 0.685368 | 1.52678 |
| 0.687366 | 1.526664 |
| 0.68937 | 1.526548 |
| 0.69138 | 1.526433 |
| 0.693396 | 1.526319 |
| 0.695418 | 1.526205 |
| 0.697446 | 1.526092 |
| 0.69948 | 1.52598 |
| 0.701519 | 1.525869 |
| 0.703565 | 1.525759 |
| 0.705616 | 1.525649 |
| 0.707674 | 1.52554 |
| 0.709737 | 1.525432 |
| 0.711807 | 1.525324 |
| 0.713882 | 1.525218 |
| 0.715964 | 1.525112 |
| 0.718052 | 1.525006 |
| 0.720145 | 1.524902 |
| 0.722245 | 1.524798 |
| 0.724351 | 1.524695 |
| 0.726463 | 1.524592 |
| 0.728581 | 1.52449 |
| 0.730706 | 1.524389 |
| 0.732837 | 1.524289 |
| 0.734973 | 1.524189 |
| 0.737117 | 1.52409 |
| 0.739266 | 1.523992 |
| 0.741421 | 1.523894 |
| 0.743583 | 1.523797 |
| 0.745752 | 1.5237 |
| 0.747926 | 1.523605 |
| 0.750107 | 1.52351 |
| 0.752294 | 1.523415 |
| 0.754488 | 1.523321 |
| 0.756688 | 1.523228 |
| 0.758894 | 1.523135 |
| 0.761107 | 1.523043 |
| 0.763326 | 1.522952 |
| 0.765552 | 1.522861 |
| 0.767784 | 1.522771 |
| 0.770023 | 1.522681 |
| 0.772268 | 1.522592 |
| 0.77452 | 1.522504 |
| 0.776779 | 1.522416 |
| 0.779044 | 1.522329 |
| 0.781315 | 1.522242 |
| 0.783593 | 1.522156 |
| 0.785878 | 1.522071 |
| 0.78817 | 1.521986 |
| 0.790468 | 1.521902 |
| 0.792773 | 1.521818 |
| 0.795084 | 1.521735 |
| 0.797403 | 1.521652 |
| 0.799728 | 1.52157 |
| 0.80206 | 1.521488 |
| 0.804399 | 1.521407 |
| 0.806744 | 1.521327 |
| 0.809096 | 1.521247 |
| 0.811456 | 1.521167 |
| 0.813822 | 1.521088 |
| 0.816195 | 1.52101 |
| 0.818575 | 1.520932 |
| 0.820962 | 1.520855 |
| 0.823355 | 1.520778 |
| 0.825756 | 1.520701 |
| 0.828164 | 1.520626 |
| 0.830579 | 1.52055 |
| 0.833001 | 1.520475 |
| 0.83543 | 1.520401 |
| 0.837866 | 1.520327 |
| 0.840309 | 1.520254 |
| 0.842759 | 1.520181 |
| 0.845216 | 1.520108 |
| 0.847681 | 1.520036 |
| 0.850153 | 1.519965 |
| 0.852631 | 1.519894 |
| 0.855118 | 1.519823 |
| 0.857611 | 1.519753 |
| 0.860112 | 1.519683 |
| 0.86262 | 1.519614 |
| 0.865135 | 1.519545 |
| 0.867658 | 1.519477 |
| 0.870188 | 1.519409 |
| 0.872725 | 1.519342 |
| 0.87527 | 1.519275 |
| 0.877822 | 1.519208 |
| 0.880382 | 1.519142 |
| 0.882949 | 1.519076 |
| 0.885523 | 1.519011 |
| 0.888105 | 1.518946 |
| 0.890695 | 1.518882 |
| 0.893292 | 1.518818 |
| 0.895897 | 1.518754 |
| 0.898509 | 1.518691 |
| 0.901129 | 1.518628 |
| 0.903757 | 1.518566 |
| 0.906392 | 1.518504 |
| 0.909035 | 1.518442 |
| 0.911685 | 1.518381 |
| 0.914344 | 1.51832 |
| 0.91701 | 1.51826 |
| 0.919684 | 1.5182 |
| 0.922365 | 1.51814 |
| 0.925055 | 1.518081 |
| 0.927752 | 1.518022 |
| 0.930457 | 1.517964 |
| 0.93317 | 1.517906 |
| 0.935891 | 1.517848 |
| 0.93862 | 1.517791 |
| 0.941357 | 1.517734 |
| 0.944102 | 1.517677 |
| 0.946855 | 1.517621 |
| 0.949616 | 1.517565 |
| 0.952385 | 1.517509 |
| 0.955162 | 1.517454 |
| 0.957947 | 1.517399 |
| 0.96074 | 1.517345 |
| 0.963542 | 1.517291 |
| 0.966351 | 1.517237 |
| 0.969169 | 1.517184 |
| 0.971995 | 1.517131 |
| 0.974829 | 1.517078 |
| 0.977672 | 1.517025 |
| 0.980523 | 1.516973 |
| 0.983382 | 1.516922 |
| 0.986249 | 1.51687 |
| 0.989125 | 1.516819 |
| 0.992009 | 1.516768 |
| 0.994902 | 1.516718 |
| 0.997803 | 1.516668 |
| 1.00071 | 1.516618 |
| 1.00363 | 1.516568 |
| 1.00656 | 1.516519 |
| 1.00949 | 1.51647 |
| 1.01243 | 1.516422 |
| 1.01539 | 1.516373 |
| 1.01835 | 1.516326 |
| 1.02132 | 1.516278 |
| 1.0243 | 1.516231 |
| 1.02728 | 1.516184 |
| 1.03028 | 1.516137 |
| 1.03328 | 1.51609 |
| 1.03629 | 1.516044 |
| 1.03932 | 1.515998 |
| 1.04235 | 1.515953 |
| 1.04539 | 1.515907 |
| 1.04843 | 1.515862 |
| 1.05149 | 1.515818 |
| 1.05456 | 1.515773 |
| 1.05763 | 1.515729 |
| 1.06072 | 1.515685 |
| 1.06381 | 1.515642 |
| 1.06691 | 1.515598 |
| 1.07002 | 1.515555 |
| 1.07314 | 1.515512 |
| 1.07627 | 1.51547 |
| 1.07941 | 1.515428 |
| 1.08256 | 1.515386 |
| 1.08571 | 1.515344 |
| 1.08888 | 1.515303 |
| 1.09205 | 1.515261 |
| 1.09524 | 1.51522 |
| 1.09843 | 1.51518 |
| 1.10164 | 1.515139 |
| 1.10485 | 1.515099 |
| 1.10807 | 1.515059 |
| 1.1113 | 1.51502 |
| 1.11454 | 1.51498 |
| 1.11779 | 1.514941 |
| 1.12105 | 1.514902 |
| 1.12432 | 1.514863 |
| 1.1276 | 1.514825 |
| 1.13088 | 1.514787 |
| 1.13418 | 1.514749 |
| 1.13749 | 1.514711 |
| 1.14081 | 1.514673 |
| 1.14413 | 1.514636 |
| 1.14747 | 1.514599 |
| 1.15081 | 1.514562 |
| 1.15417 | 1.514526 |
| 1.15754 | 1.514489 |
| 1.16091 | 1.514453 |
| 1.1643 | 1.514417 |
| 1.16769 | 1.514382 |
| 1.1711 | 1.514346 |
| 1.17451 | 1.514311 |
| 1.17794 | 1.514276 |
| 1.18137 | 1.514241 |
| 1.18481 | 1.514207 |
| 1.18827 | 1.514172 |
| 1.19173 | 1.514138 |
| 1.19521 | 1.514104 |
| 1.19869 | 1.51407 |
| 1.20219 | 1.514037 |
| 1.20569 | 1.514004 |
| 1.20921 | 1.513971 |
| 1.21274 | 1.513938 |
| 1.21627 | 1.513905 |
| 1.21982 | 1.513872 |
| 1.22338 | 1.51384 |
| 1.22694 | 1.513808 |
| 1.23052 | 1.513776 |
| 1.23411 | 1.513744 |
| 1.23771 | 1.513713 |
| 1.24132 | 1.513682 |
| 1.24494 | 1.513651 |
| 1.24857 | 1.51362 |
| 1.25221 | 1.513589 |
| 1.25586 | 1.513558 |
| 1.25952 | 1.513528 |
| 1.26319 | 1.513498 |
| 1.26688 | 1.513468 |
| 1.27057 | 1.513438 |
| 1.27427 | 1.513408 |
| 1.27799 | 1.513379 |
| 1.28172 | 1.51335 |
| 1.28545 | 1.513321 |
| 1.2892 | 1.513292 |
| 1.29296 | 1.513263 |
| 1.29673 | 1.513234 |
| 1.30051 | 1.513206 |
| 1.3043 | 1.513178 |
| 1.30811 | 1.51315 |
| 1.31192 | 1.513122 |
| 1.31575 | 1.513094 |
| 1.31958 | 1.513067 |
| 1.32343 | 1.51304 |
| 1.32729 | 1.513012 |
| 1.33116 | 1.512985 |
| 1.33504 | 1.512959 |
| 1.33894 | 1.512932 |
| 1.34284 | 1.512905 |
| 1.34675 | 1.512879 |
| 1.35068 | 1.512853 |
| 1.35462 | 1.512827 |
| 1.35857 | 1.512801 |
| 1.36253 | 1.512775 |
| 1.3665 | 1.51275 |
| 1.37049 | 1.512724 |
| 1.37449 | 1.512699 |
| 1.37849 | 1.512674 |
| 1.38251 | 1.512649 |
| 1.38654 | 1.512624 |
| 1.39059 | 1.5126 |
| 1.39464 | 1.512575 |
| 1.39871 | 1.512551 |
| 1.40279 | 1.512527 |
| 1.40688 | 1.512503 |
| 1.41098 | 1.512479 |
| 1.41509 | 1.512455 |
| 1.41922 | 1.512431 |
| 1.42336 | 1.512408 |
| 1.42751 | 1.512385 |
| 1.43167 | 1.512361 |
| 1.43585 | 1.512338 |
| 1.44003 | 1.512315 |
| 1.44423 | 1.512293 |
| 1.44844 | 1.51227 |
| 1.45267 | 1.512248 |
| 1.4569 | 1.512225 |
| 1.46115 | 1.512203 |
| 1.46541 | 1.512181 |
| 1.46968 | 1.512159 |
| 1.47397 | 1.512137 |
| 1.47827 | 1.512116 |
| 1.48258 | 1.512094 |
| 1.4869 | 1.512073 |
| 1.49124 | 1.512051 |
| 1.49558 | 1.51203 |
| 1.49994 | 1.512009 |
| 1.50432 | 1.511988 |
| 1.5087 | 1.511968 |
| 1.5131 | 1.511947 |
| 1.51752 | 1.511926 |
| 1.52194 | 1.511906 |
| 1.52638 | 1.511886 |
| 1.53083 | 1.511866 |
| 1.53529 | 1.511846 |
| 1.53977 | 1.511826 |
| 1.54426 | 1.511806 |
| 1.54876 | 1.511786 |
| 1.55328 | 1.511767 |
| 1.55781 | 1.511747 |
| 1.56235 | 1.511728 |
| 1.56691 | 1.511709 |
| 1.57147 | 1.51169 |
| 1.57606 | 1.511671 |
| 1.58065 | 1.511652 |
| 1.58526 | 1.511633 |
| 1.58988 | 1.511615 |
| 1.59452 | 1.511596 |
| 1.59917 | 1.511578 |
| 1.60383 | 1.511559 |
| 1.60851 | 1.511541 |
| 1.6132 | 1.511523 |
| 1.6179 | 1.511505 |
| 1.62262 | 1.511487 |
| 1.62735 | 1.51147 |
| 1.6321 | 1.511452 |
| 1.63686 | 1.511435 |
| 1.64163 | 1.511417 |
| 1.64642 | 1.5114 |
| 1.65122 | 1.511383 |
| 1.65603 | 1.511365 |
| 1.66086 | 1.511348 |
| 1.6657 | 1.511332 |
| 1.67056 | 1.511315 |
| 1.67543 | 1.511298 |
| 1.68032 | 1.511281 |
| 1.68522 | 1.511265 |
| 1.69013 | 1.511249 |
| 1.69506 | 1.511232 |
| 1.7 | 1.511216 |
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
- —
Ordinary ray (o).