Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(e) 0.4–0.8 µm; 30.4 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 303.55 K
- Optical axis
- e
- Licence
- CC0-1.0
Uniaxial crystal, axes: e
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.60908
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.58914
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 36.158
- Chromatic dispersion dn/dλ
- -0.0829499 µm⁻¹
- Group index ng
- 1.65782
- Group velocity dispersion
- 185.695 fs²/mm
- Dispersion parameter D
- -1013.06 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(e) 0.4–0.8 µm; 30.4 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-30.4C-e", 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_d41cf294557c/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-1993-30-4c-e).
# ... 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 | 0.4566 |
| C2 | 1.7355 |
| C3 | 25.0 |
| C4 | 1.1251 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 303.55 K
- direction
- e
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 | 1.644043 |
| 0.400695 | 1.643763 |
| 0.401392 | 1.643485 |
| 0.40209 | 1.643209 |
| 0.402789 | 1.642934 |
| 0.40349 | 1.642662 |
| 0.404191 | 1.642391 |
| 0.404894 | 1.642121 |
| 0.405598 | 1.641854 |
| 0.406303 | 1.641588 |
| 0.40701 | 1.641324 |
| 0.407717 | 1.641062 |
| 0.408426 | 1.640801 |
| 0.409136 | 1.640542 |
| 0.409848 | 1.640285 |
| 0.41056 | 1.640029 |
| 0.411274 | 1.639775 |
| 0.411989 | 1.639523 |
| 0.412706 | 1.639272 |
| 0.413423 | 1.639023 |
| 0.414142 | 1.638775 |
| 0.414862 | 1.638529 |
| 0.415583 | 1.638285 |
| 0.416306 | 1.638041 |
| 0.41703 | 1.6378 |
| 0.417755 | 1.63756 |
| 0.418481 | 1.637321 |
| 0.419209 | 1.637084 |
| 0.419938 | 1.636849 |
| 0.420668 | 1.636615 |
| 0.421399 | 1.636382 |
| 0.422132 | 1.636151 |
| 0.422866 | 1.635921 |
| 0.423601 | 1.635693 |
| 0.424338 | 1.635466 |
| 0.425076 | 1.63524 |
| 0.425815 | 1.635016 |
| 0.426555 | 1.634793 |
| 0.427297 | 1.634572 |
| 0.42804 | 1.634351 |
| 0.428784 | 1.634132 |
| 0.429529 | 1.633915 |
| 0.430276 | 1.633699 |
| 0.431024 | 1.633484 |
| 0.431774 | 1.63327 |
| 0.432525 | 1.633058 |
| 0.433277 | 1.632847 |
| 0.43403 | 1.632637 |
| 0.434785 | 1.632428 |
| 0.435541 | 1.632221 |
| 0.436298 | 1.632015 |
| 0.437056 | 1.63181 |
| 0.437816 | 1.631606 |
| 0.438578 | 1.631404 |
| 0.43934 | 1.631202 |
| 0.440104 | 1.631002 |
| 0.440869 | 1.630803 |
| 0.441636 | 1.630605 |
| 0.442404 | 1.630409 |
| 0.443173 | 1.630213 |
| 0.443943 | 1.630019 |
| 0.444715 | 1.629826 |
| 0.445489 | 1.629634 |
| 0.446263 | 1.629442 |
| 0.447039 | 1.629253 |
| 0.447816 | 1.629064 |
| 0.448595 | 1.628876 |
| 0.449375 | 1.628689 |
| 0.450156 | 1.628504 |
| 0.450939 | 1.628319 |
| 0.451723 | 1.628136 |
| 0.452508 | 1.627953 |
| 0.453295 | 1.627772 |
| 0.454083 | 1.627591 |
| 0.454873 | 1.627412 |
| 0.455664 | 1.627234 |
| 0.456456 | 1.627056 |
| 0.45725 | 1.62688 |
| 0.458045 | 1.626705 |
| 0.458841 | 1.62653 |
| 0.459639 | 1.626357 |
| 0.460438 | 1.626184 |
| 0.461239 | 1.626013 |
| 0.462041 | 1.625842 |
| 0.462844 | 1.625673 |
| 0.463649 | 1.625504 |
| 0.464455 | 1.625336 |
| 0.465263 | 1.62517 |
| 0.466072 | 1.625004 |
| 0.466882 | 1.624839 |
| 0.467694 | 1.624675 |
| 0.468507 | 1.624512 |
| 0.469321 | 1.624349 |
| 0.470137 | 1.624188 |
| 0.470955 | 1.624027 |
| 0.471774 | 1.623868 |
| 0.472594 | 1.623709 |
| 0.473416 | 1.623551 |
| 0.474239 | 1.623394 |
| 0.475063 | 1.623238 |
| 0.475889 | 1.623083 |
| 0.476717 | 1.622928 |
| 0.477546 | 1.622775 |
| 0.478376 | 1.622622 |
| 0.479208 | 1.62247 |
| 0.480041 | 1.622319 |
| 0.480876 | 1.622168 |
| 0.481712 | 1.622019 |
| 0.482549 | 1.62187 |
| 0.483388 | 1.621722 |
| 0.484229 | 1.621575 |
| 0.485071 | 1.621428 |
| 0.485914 | 1.621282 |
| 0.486759 | 1.621138 |
| 0.487605 | 1.620994 |
| 0.488453 | 1.62085 |
| 0.489303 | 1.620708 |
| 0.490153 | 1.620566 |
| 0.491006 | 1.620425 |
| 0.491859 | 1.620284 |
| 0.492714 | 1.620145 |
| 0.493571 | 1.620006 |
| 0.494429 | 1.619868 |
| 0.495289 | 1.61973 |
| 0.49615 | 1.619593 |
| 0.497013 | 1.619457 |
| 0.497877 | 1.619322 |
| 0.498743 | 1.619187 |
| 0.49961 | 1.619054 |
| 0.500479 | 1.61892 |
| 0.501349 | 1.618788 |
| 0.50222 | 1.618656 |
| 0.503094 | 1.618525 |
| 0.503968 | 1.618394 |
| 0.504845 | 1.618264 |
| 0.505722 | 1.618135 |
| 0.506602 | 1.618007 |
| 0.507483 | 1.617879 |
| 0.508365 | 1.617752 |
| 0.509249 | 1.617625 |
| 0.510134 | 1.617499 |
| 0.511021 | 1.617374 |
| 0.51191 | 1.617249 |
| 0.5128 | 1.617125 |
| 0.513692 | 1.617002 |
| 0.514585 | 1.616879 |
| 0.515479 | 1.616757 |
| 0.516376 | 1.616636 |
| 0.517274 | 1.616515 |
| 0.518173 | 1.616395 |
| 0.519074 | 1.616275 |
| 0.519976 | 1.616156 |
| 0.52088 | 1.616037 |
| 0.521786 | 1.615919 |
| 0.522693 | 1.615802 |
| 0.523602 | 1.615685 |
| 0.524513 | 1.615569 |
| 0.525425 | 1.615454 |
| 0.526338 | 1.615339 |
| 0.527253 | 1.615224 |
| 0.52817 | 1.61511 |
| 0.529088 | 1.614997 |
| 0.530008 | 1.614884 |
| 0.53093 | 1.614772 |
| 0.531853 | 1.614661 |
| 0.532778 | 1.61455 |
| 0.533704 | 1.614439 |
| 0.534632 | 1.614329 |
| 0.535562 | 1.61422 |
| 0.536493 | 1.614111 |
| 0.537426 | 1.614002 |
| 0.53836 | 1.613894 |
| 0.539296 | 1.613787 |
| 0.540234 | 1.61368 |
| 0.541173 | 1.613574 |
| 0.542114 | 1.613468 |
| 0.543057 | 1.613363 |
| 0.544001 | 1.613258 |
| 0.544947 | 1.613154 |
| 0.545894 | 1.61305 |
| 0.546843 | 1.612947 |
| 0.547794 | 1.612844 |
| 0.548747 | 1.612742 |
| 0.549701 | 1.61264 |
| 0.550657 | 1.612539 |
| 0.551614 | 1.612438 |
| 0.552573 | 1.612338 |
| 0.553534 | 1.612238 |
| 0.554496 | 1.612139 |
| 0.55546 | 1.61204 |
| 0.556426 | 1.611942 |
| 0.557394 | 1.611844 |
| 0.558363 | 1.611747 |
| 0.559334 | 1.61165 |
| 0.560306 | 1.611553 |
| 0.56128 | 1.611457 |
| 0.562256 | 1.611361 |
| 0.563234 | 1.611266 |
| 0.564213 | 1.611172 |
| 0.565194 | 1.611077 |
| 0.566177 | 1.610984 |
| 0.567161 | 1.61089 |
| 0.568148 | 1.610797 |
| 0.569135 | 1.610705 |
| 0.570125 | 1.610613 |
| 0.571116 | 1.610521 |
| 0.572109 | 1.61043 |
| 0.573104 | 1.610339 |
| 0.5741 | 1.610249 |
| 0.575099 | 1.610159 |
| 0.576099 | 1.61007 |
| 0.5771 | 1.60998 |
| 0.578104 | 1.609892 |
| 0.579109 | 1.609804 |
| 0.580116 | 1.609716 |
| 0.581124 | 1.609628 |
| 0.582135 | 1.609541 |
| 0.583147 | 1.609455 |
| 0.584161 | 1.609368 |
| 0.585177 | 1.609283 |
| 0.586194 | 1.609197 |
| 0.587213 | 1.609112 |
| 0.588234 | 1.609028 |
| 0.589257 | 1.608943 |
| 0.590282 | 1.60886 |
| 0.591308 | 1.608776 |
| 0.592336 | 1.608693 |
| 0.593366 | 1.60861 |
| 0.594398 | 1.608528 |
| 0.595431 | 1.608446 |
| 0.596466 | 1.608364 |
| 0.597504 | 1.608283 |
| 0.598542 | 1.608202 |
| 0.599583 | 1.608122 |
| 0.600626 | 1.608042 |
| 0.60167 | 1.607962 |
| 0.602716 | 1.607883 |
| 0.603764 | 1.607804 |
| 0.604814 | 1.607725 |
| 0.605865 | 1.607647 |
| 0.606919 | 1.607569 |
| 0.607974 | 1.607491 |
| 0.609031 | 1.607414 |
| 0.61009 | 1.607337 |
| 0.611151 | 1.607261 |
| 0.612214 | 1.607185 |
| 0.613278 | 1.607109 |
| 0.614344 | 1.607033 |
| 0.615413 | 1.606958 |
| 0.616483 | 1.606883 |
| 0.617554 | 1.606809 |
| 0.618628 | 1.606735 |
| 0.619704 | 1.606661 |
| 0.620781 | 1.606587 |
| 0.621861 | 1.606514 |
| 0.622942 | 1.606441 |
| 0.624025 | 1.606369 |
| 0.62511 | 1.606297 |
| 0.626197 | 1.606225 |
| 0.627286 | 1.606153 |
| 0.628376 | 1.606082 |
| 0.629469 | 1.606011 |
| 0.630563 | 1.605941 |
| 0.63166 | 1.60587 |
| 0.632758 | 1.6058 |
| 0.633858 | 1.605731 |
| 0.63496 | 1.605661 |
| 0.636064 | 1.605592 |
| 0.63717 | 1.605524 |
| 0.638278 | 1.605455 |
| 0.639388 | 1.605387 |
| 0.6405 | 1.605319 |
| 0.641613 | 1.605252 |
| 0.642729 | 1.605184 |
| 0.643847 | 1.605117 |
| 0.644966 | 1.605051 |
| 0.646087 | 1.604984 |
| 0.647211 | 1.604918 |
| 0.648336 | 1.604853 |
| 0.649463 | 1.604787 |
| 0.650593 | 1.604722 |
| 0.651724 | 1.604657 |
| 0.652857 | 1.604592 |
| 0.653992 | 1.604528 |
| 0.655129 | 1.604464 |
| 0.656268 | 1.6044 |
| 0.657409 | 1.604337 |
| 0.658552 | 1.604273 |
| 0.659697 | 1.604211 |
| 0.660844 | 1.604148 |
| 0.661993 | 1.604085 |
| 0.663145 | 1.604023 |
| 0.664298 | 1.603961 |
| 0.665453 | 1.6039 |
| 0.66661 | 1.603838 |
| 0.667769 | 1.603777 |
| 0.66893 | 1.603717 |
| 0.670093 | 1.603656 |
| 0.671258 | 1.603596 |
| 0.672425 | 1.603536 |
| 0.673594 | 1.603476 |
| 0.674765 | 1.603416 |
| 0.675939 | 1.603357 |
| 0.677114 | 1.603298 |
| 0.678291 | 1.603239 |
| 0.679471 | 1.603181 |
| 0.680652 | 1.603123 |
| 0.681835 | 1.603065 |
| 0.683021 | 1.603007 |
| 0.684209 | 1.60295 |
| 0.685398 | 1.602892 |
| 0.68659 | 1.602835 |
| 0.687784 | 1.602779 |
| 0.68898 | 1.602722 |
| 0.690177 | 1.602666 |
| 0.691378 | 1.60261 |
| 0.69258 | 1.602554 |
| 0.693784 | 1.602498 |
| 0.69499 | 1.602443 |
| 0.696199 | 1.602388 |
| 0.697409 | 1.602333 |
| 0.698622 | 1.602278 |
| 0.699836 | 1.602224 |
| 0.701053 | 1.60217 |
| 0.702272 | 1.602116 |
| 0.703493 | 1.602062 |
| 0.704716 | 1.602009 |
| 0.705942 | 1.601955 |
| 0.707169 | 1.601902 |
| 0.708399 | 1.60185 |
| 0.70963 | 1.601797 |
| 0.710864 | 1.601745 |
| 0.7121 | 1.601693 |
| 0.713338 | 1.601641 |
| 0.714579 | 1.601589 |
| 0.715821 | 1.601537 |
| 0.717066 | 1.601486 |
| 0.718312 | 1.601435 |
| 0.719561 | 1.601384 |
| 0.720813 | 1.601334 |
| 0.722066 | 1.601283 |
| 0.723321 | 1.601233 |
| 0.724579 | 1.601183 |
| 0.725839 | 1.601133 |
| 0.727101 | 1.601084 |
| 0.728365 | 1.601034 |
| 0.729631 | 1.600985 |
| 0.7309 | 1.600936 |
| 0.732171 | 1.600887 |
| 0.733444 | 1.600839 |
| 0.734719 | 1.60079 |
| 0.735997 | 1.600742 |
| 0.737276 | 1.600694 |
| 0.738558 | 1.600647 |
| 0.739842 | 1.600599 |
| 0.741129 | 1.600552 |
| 0.742417 | 1.600505 |
| 0.743708 | 1.600458 |
| 0.745001 | 1.600411 |
| 0.746297 | 1.600364 |
| 0.747594 | 1.600318 |
| 0.748894 | 1.600272 |
| 0.750196 | 1.600226 |
| 0.751501 | 1.60018 |
| 0.752807 | 1.600134 |
| 0.754116 | 1.600089 |
| 0.755427 | 1.600043 |
| 0.756741 | 1.599998 |
| 0.758057 | 1.599954 |
| 0.759375 | 1.599909 |
| 0.760695 | 1.599864 |
| 0.762018 | 1.59982 |
| 0.763343 | 1.599776 |
| 0.76467 | 1.599732 |
| 0.765999 | 1.599688 |
| 0.767331 | 1.599644 |
| 0.768665 | 1.599601 |
| 0.770002 | 1.599558 |
| 0.771341 | 1.599515 |
| 0.772682 | 1.599472 |
| 0.774025 | 1.599429 |
| 0.775371 | 1.599387 |
| 0.776719 | 1.599344 |
| 0.77807 | 1.599302 |
| 0.779423 | 1.59926 |
| 0.780778 | 1.599218 |
| 0.782135 | 1.599176 |
| 0.783495 | 1.599135 |
| 0.784858 | 1.599094 |
| 0.786222 | 1.599052 |
| 0.787589 | 1.599011 |
| 0.788959 | 1.59897 |
| 0.790331 | 1.59893 |
| 0.791705 | 1.598889 |
| 0.793081 | 1.598849 |
| 0.79446 | 1.598809 |
| 0.795842 | 1.598769 |
| 0.797225 | 1.598729 |
| 0.798611 | 1.598689 |
| 0.8 | 1.59865 |
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
- —
30.4 °C. Extraordinary ray (e).