Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(o) 0.4–0.8 µm; 50.8 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 323.95 K
- 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
- 1.49007
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.22032
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 44.167
- Chromatic dispersion dn/dλ
- -0.0547844 µm⁻¹
- Group index ng
- 1.52226
- Group velocity dispersion
- 121.486 fs²/mm
- Dispersion parameter D
- -662.772 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
# 5PCH (4-trans-pentylcyclohexylcyanobenzene): Wu et al. 1993: n(o) 0.4–0.8 µm; 50.8 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-50.8C-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (400, 800) 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_5fe1533bd853/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 (5pch/wu-1993-50-8c-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=400, stop_nm=800, 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
Gases (formula 6), λ in µmValid from 0.4 to 0.8 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.3838 |
| C2 | 1.5408 |
| C3 | 25.0 |
| C4 | 0.5562 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 323.95 K
- direction
- o
References
- doi:10.1117/12.143988 Refractive index dispersions of liquid crystals, Optical Engineering (1993)
Cite
Shin-Tson Wu, ChiungSheng Wu, Marc Warenghem and M. Ismaili. Refractive index dispersions of liquid crystals. Optical Engineering, 32, 1775-1780 (1993), doi:10.1117/12.143988; 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 |
|---|---|
| 0.4 | 1.512882 |
| 0.400695 | 1.512702 |
| 0.401392 | 1.512522 |
| 0.40209 | 1.512344 |
| 0.402789 | 1.512167 |
| 0.40349 | 1.511991 |
| 0.404191 | 1.511816 |
| 0.404894 | 1.511643 |
| 0.405598 | 1.51147 |
| 0.406303 | 1.511299 |
| 0.40701 | 1.511128 |
| 0.407717 | 1.510959 |
| 0.408426 | 1.51079 |
| 0.409136 | 1.510623 |
| 0.409848 | 1.510457 |
| 0.41056 | 1.510292 |
| 0.411274 | 1.510127 |
| 0.411989 | 1.509964 |
| 0.412706 | 1.509802 |
| 0.413423 | 1.509641 |
| 0.414142 | 1.509481 |
| 0.414862 | 1.509322 |
| 0.415583 | 1.509163 |
| 0.416306 | 1.509006 |
| 0.41703 | 1.50885 |
| 0.417755 | 1.508694 |
| 0.418481 | 1.50854 |
| 0.419209 | 1.508386 |
| 0.419938 | 1.508234 |
| 0.420668 | 1.508082 |
| 0.421399 | 1.507932 |
| 0.422132 | 1.507782 |
| 0.422866 | 1.507633 |
| 0.423601 | 1.507485 |
| 0.424338 | 1.507338 |
| 0.425076 | 1.507191 |
| 0.425815 | 1.507046 |
| 0.426555 | 1.506901 |
| 0.427297 | 1.506758 |
| 0.42804 | 1.506615 |
| 0.428784 | 1.506473 |
| 0.429529 | 1.506332 |
| 0.430276 | 1.506191 |
| 0.431024 | 1.506052 |
| 0.431774 | 1.505913 |
| 0.432525 | 1.505775 |
| 0.433277 | 1.505638 |
| 0.43403 | 1.505502 |
| 0.434785 | 1.505366 |
| 0.435541 | 1.505232 |
| 0.436298 | 1.505098 |
| 0.437056 | 1.504964 |
| 0.437816 | 1.504832 |
| 0.438578 | 1.5047 |
| 0.43934 | 1.504569 |
| 0.440104 | 1.504439 |
| 0.440869 | 1.50431 |
| 0.441636 | 1.504181 |
| 0.442404 | 1.504053 |
| 0.443173 | 1.503926 |
| 0.443943 | 1.5038 |
| 0.444715 | 1.503674 |
| 0.445489 | 1.503549 |
| 0.446263 | 1.503424 |
| 0.447039 | 1.503301 |
| 0.447816 | 1.503178 |
| 0.448595 | 1.503056 |
| 0.449375 | 1.502934 |
| 0.450156 | 1.502813 |
| 0.450939 | 1.502693 |
| 0.451723 | 1.502573 |
| 0.452508 | 1.502454 |
| 0.453295 | 1.502336 |
| 0.454083 | 1.502218 |
| 0.454873 | 1.502102 |
| 0.455664 | 1.501985 |
| 0.456456 | 1.50187 |
| 0.45725 | 1.501755 |
| 0.458045 | 1.50164 |
| 0.458841 | 1.501526 |
| 0.459639 | 1.501413 |
| 0.460438 | 1.501301 |
| 0.461239 | 1.501189 |
| 0.462041 | 1.501078 |
| 0.462844 | 1.500967 |
| 0.463649 | 1.500857 |
| 0.464455 | 1.500747 |
| 0.465263 | 1.500638 |
| 0.466072 | 1.50053 |
| 0.466882 | 1.500422 |
| 0.467694 | 1.500315 |
| 0.468507 | 1.500209 |
| 0.469321 | 1.500103 |
| 0.470137 | 1.499997 |
| 0.470955 | 1.499892 |
| 0.471774 | 1.499788 |
| 0.472594 | 1.499684 |
| 0.473416 | 1.499581 |
| 0.474239 | 1.499478 |
| 0.475063 | 1.499376 |
| 0.475889 | 1.499275 |
| 0.476717 | 1.499174 |
| 0.477546 | 1.499073 |
| 0.478376 | 1.498973 |
| 0.479208 | 1.498874 |
| 0.480041 | 1.498775 |
| 0.480876 | 1.498676 |
| 0.481712 | 1.498578 |
| 0.482549 | 1.498481 |
| 0.483388 | 1.498384 |
| 0.484229 | 1.498288 |
| 0.485071 | 1.498192 |
| 0.485914 | 1.498097 |
| 0.486759 | 1.498002 |
| 0.487605 | 1.497907 |
| 0.488453 | 1.497814 |
| 0.489303 | 1.49772 |
| 0.490153 | 1.497627 |
| 0.491006 | 1.497535 |
| 0.491859 | 1.497443 |
| 0.492714 | 1.497351 |
| 0.493571 | 1.49726 |
| 0.494429 | 1.49717 |
| 0.495289 | 1.49708 |
| 0.49615 | 1.49699 |
| 0.497013 | 1.496901 |
| 0.497877 | 1.496812 |
| 0.498743 | 1.496724 |
| 0.49961 | 1.496636 |
| 0.500479 | 1.496549 |
| 0.501349 | 1.496462 |
| 0.50222 | 1.496375 |
| 0.503094 | 1.496289 |
| 0.503968 | 1.496204 |
| 0.504845 | 1.496118 |
| 0.505722 | 1.496034 |
| 0.506602 | 1.495949 |
| 0.507483 | 1.495865 |
| 0.508365 | 1.495782 |
| 0.509249 | 1.495699 |
| 0.510134 | 1.495616 |
| 0.511021 | 1.495534 |
| 0.51191 | 1.495452 |
| 0.5128 | 1.495371 |
| 0.513692 | 1.49529 |
| 0.514585 | 1.495209 |
| 0.515479 | 1.495129 |
| 0.516376 | 1.495049 |
| 0.517274 | 1.49497 |
| 0.518173 | 1.494891 |
| 0.519074 | 1.494812 |
| 0.519976 | 1.494734 |
| 0.52088 | 1.494656 |
| 0.521786 | 1.494578 |
| 0.522693 | 1.494501 |
| 0.523602 | 1.494424 |
| 0.524513 | 1.494348 |
| 0.525425 | 1.494272 |
| 0.526338 | 1.494197 |
| 0.527253 | 1.494121 |
| 0.52817 | 1.494046 |
| 0.529088 | 1.493972 |
| 0.530008 | 1.493898 |
| 0.53093 | 1.493824 |
| 0.531853 | 1.493751 |
| 0.532778 | 1.493677 |
| 0.533704 | 1.493605 |
| 0.534632 | 1.493532 |
| 0.535562 | 1.49346 |
| 0.536493 | 1.493389 |
| 0.537426 | 1.493317 |
| 0.53836 | 1.493246 |
| 0.539296 | 1.493176 |
| 0.540234 | 1.493105 |
| 0.541173 | 1.493036 |
| 0.542114 | 1.492966 |
| 0.543057 | 1.492897 |
| 0.544001 | 1.492828 |
| 0.544947 | 1.492759 |
| 0.545894 | 1.492691 |
| 0.546843 | 1.492623 |
| 0.547794 | 1.492555 |
| 0.548747 | 1.492488 |
| 0.549701 | 1.492421 |
| 0.550657 | 1.492354 |
| 0.551614 | 1.492288 |
| 0.552573 | 1.492222 |
| 0.553534 | 1.492156 |
| 0.554496 | 1.49209 |
| 0.55546 | 1.492025 |
| 0.556426 | 1.49196 |
| 0.557394 | 1.491896 |
| 0.558363 | 1.491832 |
| 0.559334 | 1.491768 |
| 0.560306 | 1.491704 |
| 0.56128 | 1.491641 |
| 0.562256 | 1.491578 |
| 0.563234 | 1.491515 |
| 0.564213 | 1.491453 |
| 0.565194 | 1.49139 |
| 0.566177 | 1.491328 |
| 0.567161 | 1.491267 |
| 0.568148 | 1.491206 |
| 0.569135 | 1.491145 |
| 0.570125 | 1.491084 |
| 0.571116 | 1.491023 |
| 0.572109 | 1.490963 |
| 0.573104 | 1.490903 |
| 0.5741 | 1.490844 |
| 0.575099 | 1.490784 |
| 0.576099 | 1.490725 |
| 0.5771 | 1.490667 |
| 0.578104 | 1.490608 |
| 0.579109 | 1.49055 |
| 0.580116 | 1.490492 |
| 0.581124 | 1.490434 |
| 0.582135 | 1.490377 |
| 0.583147 | 1.49032 |
| 0.584161 | 1.490263 |
| 0.585177 | 1.490206 |
| 0.586194 | 1.49015 |
| 0.587213 | 1.490093 |
| 0.588234 | 1.490038 |
| 0.589257 | 1.489982 |
| 0.590282 | 1.489926 |
| 0.591308 | 1.489871 |
| 0.592336 | 1.489816 |
| 0.593366 | 1.489762 |
| 0.594398 | 1.489707 |
| 0.595431 | 1.489653 |
| 0.596466 | 1.489599 |
| 0.597504 | 1.489546 |
| 0.598542 | 1.489492 |
| 0.599583 | 1.489439 |
| 0.600626 | 1.489386 |
| 0.60167 | 1.489334 |
| 0.602716 | 1.489281 |
| 0.603764 | 1.489229 |
| 0.604814 | 1.489177 |
| 0.605865 | 1.489125 |
| 0.606919 | 1.489074 |
| 0.607974 | 1.489022 |
| 0.609031 | 1.488971 |
| 0.61009 | 1.48892 |
| 0.611151 | 1.48887 |
| 0.612214 | 1.488819 |
| 0.613278 | 1.488769 |
| 0.614344 | 1.488719 |
| 0.615413 | 1.48867 |
| 0.616483 | 1.48862 |
| 0.617554 | 1.488571 |
| 0.618628 | 1.488522 |
| 0.619704 | 1.488473 |
| 0.620781 | 1.488424 |
| 0.621861 | 1.488376 |
| 0.622942 | 1.488328 |
| 0.624025 | 1.48828 |
| 0.62511 | 1.488232 |
| 0.626197 | 1.488184 |
| 0.627286 | 1.488137 |
| 0.628376 | 1.48809 |
| 0.629469 | 1.488043 |
| 0.630563 | 1.487996 |
| 0.63166 | 1.48795 |
| 0.632758 | 1.487904 |
| 0.633858 | 1.487857 |
| 0.63496 | 1.487812 |
| 0.636064 | 1.487766 |
| 0.63717 | 1.48772 |
| 0.638278 | 1.487675 |
| 0.639388 | 1.48763 |
| 0.6405 | 1.487585 |
| 0.641613 | 1.48754 |
| 0.642729 | 1.487496 |
| 0.643847 | 1.487451 |
| 0.644966 | 1.487407 |
| 0.646087 | 1.487363 |
| 0.647211 | 1.48732 |
| 0.648336 | 1.487276 |
| 0.649463 | 1.487233 |
| 0.650593 | 1.487189 |
| 0.651724 | 1.487146 |
| 0.652857 | 1.487104 |
| 0.653992 | 1.487061 |
| 0.655129 | 1.487018 |
| 0.656268 | 1.486976 |
| 0.657409 | 1.486934 |
| 0.658552 | 1.486892 |
| 0.659697 | 1.486851 |
| 0.660844 | 1.486809 |
| 0.661993 | 1.486768 |
| 0.663145 | 1.486726 |
| 0.664298 | 1.486685 |
| 0.665453 | 1.486645 |
| 0.66661 | 1.486604 |
| 0.667769 | 1.486563 |
| 0.66893 | 1.486523 |
| 0.670093 | 1.486483 |
| 0.671258 | 1.486443 |
| 0.672425 | 1.486403 |
| 0.673594 | 1.486364 |
| 0.674765 | 1.486324 |
| 0.675939 | 1.486285 |
| 0.677114 | 1.486246 |
| 0.678291 | 1.486207 |
| 0.679471 | 1.486168 |
| 0.680652 | 1.486129 |
| 0.681835 | 1.486091 |
| 0.683021 | 1.486053 |
| 0.684209 | 1.486014 |
| 0.685398 | 1.485976 |
| 0.68659 | 1.485939 |
| 0.687784 | 1.485901 |
| 0.68898 | 1.485863 |
| 0.690177 | 1.485826 |
| 0.691378 | 1.485789 |
| 0.69258 | 1.485752 |
| 0.693784 | 1.485715 |
| 0.69499 | 1.485678 |
| 0.696199 | 1.485642 |
| 0.697409 | 1.485605 |
| 0.698622 | 1.485569 |
| 0.699836 | 1.485533 |
| 0.701053 | 1.485497 |
| 0.702272 | 1.485461 |
| 0.703493 | 1.485426 |
| 0.704716 | 1.48539 |
| 0.705942 | 1.485355 |
| 0.707169 | 1.48532 |
| 0.708399 | 1.485285 |
| 0.70963 | 1.48525 |
| 0.710864 | 1.485215 |
| 0.7121 | 1.48518 |
| 0.713338 | 1.485146 |
| 0.714579 | 1.485111 |
| 0.715821 | 1.485077 |
| 0.717066 | 1.485043 |
| 0.718312 | 1.485009 |
| 0.719561 | 1.484976 |
| 0.720813 | 1.484942 |
| 0.722066 | 1.484908 |
| 0.723321 | 1.484875 |
| 0.724579 | 1.484842 |
| 0.725839 | 1.484809 |
| 0.727101 | 1.484776 |
| 0.728365 | 1.484743 |
| 0.729631 | 1.48471 |
| 0.7309 | 1.484678 |
| 0.732171 | 1.484646 |
| 0.733444 | 1.484613 |
| 0.734719 | 1.484581 |
| 0.735997 | 1.484549 |
| 0.737276 | 1.484517 |
| 0.738558 | 1.484486 |
| 0.739842 | 1.484454 |
| 0.741129 | 1.484423 |
| 0.742417 | 1.484391 |
| 0.743708 | 1.48436 |
| 0.745001 | 1.484329 |
| 0.746297 | 1.484298 |
| 0.747594 | 1.484267 |
| 0.748894 | 1.484236 |
| 0.750196 | 1.484206 |
| 0.751501 | 1.484175 |
| 0.752807 | 1.484145 |
| 0.754116 | 1.484115 |
| 0.755427 | 1.484085 |
| 0.756741 | 1.484055 |
| 0.758057 | 1.484025 |
| 0.759375 | 1.483995 |
| 0.760695 | 1.483966 |
| 0.762018 | 1.483936 |
| 0.763343 | 1.483907 |
| 0.76467 | 1.483878 |
| 0.765999 | 1.483849 |
| 0.767331 | 1.48382 |
| 0.768665 | 1.483791 |
| 0.770002 | 1.483762 |
| 0.771341 | 1.483733 |
| 0.772682 | 1.483705 |
| 0.774025 | 1.483676 |
| 0.775371 | 1.483648 |
| 0.776719 | 1.48362 |
| 0.77807 | 1.483592 |
| 0.779423 | 1.483564 |
| 0.780778 | 1.483536 |
| 0.782135 | 1.483508 |
| 0.783495 | 1.483481 |
| 0.784858 | 1.483453 |
| 0.786222 | 1.483426 |
| 0.787589 | 1.483398 |
| 0.788959 | 1.483371 |
| 0.790331 | 1.483344 |
| 0.791705 | 1.483317 |
| 0.793081 | 1.48329 |
| 0.79446 | 1.483264 |
| 0.795842 | 1.483237 |
| 0.797225 | 1.483211 |
| 0.798611 | 1.483184 |
| 0.8 | 1.483158 |
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
- —
50.8 °C. Ordinary ray (o).