Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(e) 0.4–0.8 µm; 34.8 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 307.95 K
- Optical axis
- e
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.606
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.57922
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 36.368
- Chromatic dispersion dn/dλ
- -0.0820544 µm⁻¹
- Group index ng
- 1.65421
- Group velocity dispersion
- 183.677 fs²/mm
- Dispersion parameter D
- -1002.06 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; 34.8 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-34.8C-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_bc5924c1e062/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-1993-34-8c-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 | 0.4551 |
| C2 | 1.7211 |
| C3 | 25.0 |
| C4 | 1.1109 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 307.95 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 | 1.640578 |
| 0.400695 | 1.640301 |
| 0.401392 | 1.640026 |
| 0.40209 | 1.639753 |
| 0.402789 | 1.639481 |
| 0.40349 | 1.639211 |
| 0.404191 | 1.638943 |
| 0.404894 | 1.638677 |
| 0.405598 | 1.638412 |
| 0.406303 | 1.63815 |
| 0.40701 | 1.637888 |
| 0.407717 | 1.637629 |
| 0.408426 | 1.637371 |
| 0.409136 | 1.637115 |
| 0.409848 | 1.636861 |
| 0.41056 | 1.636608 |
| 0.411274 | 1.636357 |
| 0.411989 | 1.636107 |
| 0.412706 | 1.635859 |
| 0.413423 | 1.635612 |
| 0.414142 | 1.635367 |
| 0.414862 | 1.635124 |
| 0.415583 | 1.634882 |
| 0.416306 | 1.634642 |
| 0.41703 | 1.634403 |
| 0.417755 | 1.634165 |
| 0.418481 | 1.63393 |
| 0.419209 | 1.633695 |
| 0.419938 | 1.633462 |
| 0.420668 | 1.633231 |
| 0.421399 | 1.633001 |
| 0.422132 | 1.632772 |
| 0.422866 | 1.632545 |
| 0.423601 | 1.632319 |
| 0.424338 | 1.632094 |
| 0.425076 | 1.631871 |
| 0.425815 | 1.631649 |
| 0.426555 | 1.631429 |
| 0.427297 | 1.63121 |
| 0.42804 | 1.630992 |
| 0.428784 | 1.630775 |
| 0.429529 | 1.63056 |
| 0.430276 | 1.630346 |
| 0.431024 | 1.630134 |
| 0.431774 | 1.629923 |
| 0.432525 | 1.629712 |
| 0.433277 | 1.629504 |
| 0.43403 | 1.629296 |
| 0.434785 | 1.62909 |
| 0.435541 | 1.628885 |
| 0.436298 | 1.628681 |
| 0.437056 | 1.628478 |
| 0.437816 | 1.628277 |
| 0.438578 | 1.628076 |
| 0.43934 | 1.627877 |
| 0.440104 | 1.627679 |
| 0.440869 | 1.627483 |
| 0.441636 | 1.627287 |
| 0.442404 | 1.627092 |
| 0.443173 | 1.626899 |
| 0.443943 | 1.626707 |
| 0.444715 | 1.626516 |
| 0.445489 | 1.626326 |
| 0.446263 | 1.626137 |
| 0.447039 | 1.625949 |
| 0.447816 | 1.625762 |
| 0.448595 | 1.625576 |
| 0.449375 | 1.625392 |
| 0.450156 | 1.625208 |
| 0.450939 | 1.625026 |
| 0.451723 | 1.624844 |
| 0.452508 | 1.624664 |
| 0.453295 | 1.624484 |
| 0.454083 | 1.624306 |
| 0.454873 | 1.624128 |
| 0.455664 | 1.623952 |
| 0.456456 | 1.623776 |
| 0.45725 | 1.623602 |
| 0.458045 | 1.623428 |
| 0.458841 | 1.623256 |
| 0.459639 | 1.623084 |
| 0.460438 | 1.622914 |
| 0.461239 | 1.622744 |
| 0.462041 | 1.622576 |
| 0.462844 | 1.622408 |
| 0.463649 | 1.622241 |
| 0.464455 | 1.622075 |
| 0.465263 | 1.62191 |
| 0.466072 | 1.621746 |
| 0.466882 | 1.621583 |
| 0.467694 | 1.621421 |
| 0.468507 | 1.621259 |
| 0.469321 | 1.621099 |
| 0.470137 | 1.620939 |
| 0.470955 | 1.620781 |
| 0.471774 | 1.620623 |
| 0.472594 | 1.620466 |
| 0.473416 | 1.620309 |
| 0.474239 | 1.620154 |
| 0.475063 | 1.62 |
| 0.475889 | 1.619846 |
| 0.476717 | 1.619693 |
| 0.477546 | 1.619541 |
| 0.478376 | 1.61939 |
| 0.479208 | 1.61924 |
| 0.480041 | 1.61909 |
| 0.480876 | 1.618941 |
| 0.481712 | 1.618793 |
| 0.482549 | 1.618646 |
| 0.483388 | 1.6185 |
| 0.484229 | 1.618354 |
| 0.485071 | 1.618209 |
| 0.485914 | 1.618065 |
| 0.486759 | 1.617922 |
| 0.487605 | 1.61778 |
| 0.488453 | 1.617638 |
| 0.489303 | 1.617497 |
| 0.490153 | 1.617356 |
| 0.491006 | 1.617217 |
| 0.491859 | 1.617078 |
| 0.492714 | 1.61694 |
| 0.493571 | 1.616803 |
| 0.494429 | 1.616666 |
| 0.495289 | 1.61653 |
| 0.49615 | 1.616395 |
| 0.497013 | 1.61626 |
| 0.497877 | 1.616126 |
| 0.498743 | 1.615993 |
| 0.49961 | 1.615861 |
| 0.500479 | 1.615729 |
| 0.501349 | 1.615598 |
| 0.50222 | 1.615467 |
| 0.503094 | 1.615338 |
| 0.503968 | 1.615209 |
| 0.504845 | 1.61508 |
| 0.505722 | 1.614952 |
| 0.506602 | 1.614825 |
| 0.507483 | 1.614699 |
| 0.508365 | 1.614573 |
| 0.509249 | 1.614448 |
| 0.510134 | 1.614323 |
| 0.511021 | 1.614199 |
| 0.51191 | 1.614076 |
| 0.5128 | 1.613953 |
| 0.513692 | 1.613831 |
| 0.514585 | 1.61371 |
| 0.515479 | 1.613589 |
| 0.516376 | 1.613469 |
| 0.517274 | 1.613349 |
| 0.518173 | 1.61323 |
| 0.519074 | 1.613112 |
| 0.519976 | 1.612994 |
| 0.52088 | 1.612877 |
| 0.521786 | 1.61276 |
| 0.522693 | 1.612644 |
| 0.523602 | 1.612529 |
| 0.524513 | 1.612414 |
| 0.525425 | 1.6123 |
| 0.526338 | 1.612186 |
| 0.527253 | 1.612073 |
| 0.52817 | 1.61196 |
| 0.529088 | 1.611848 |
| 0.530008 | 1.611737 |
| 0.53093 | 1.611626 |
| 0.531853 | 1.611515 |
| 0.532778 | 1.611405 |
| 0.533704 | 1.611296 |
| 0.534632 | 1.611187 |
| 0.535562 | 1.611079 |
| 0.536493 | 1.610971 |
| 0.537426 | 1.610864 |
| 0.53836 | 1.610757 |
| 0.539296 | 1.610651 |
| 0.540234 | 1.610546 |
| 0.541173 | 1.610441 |
| 0.542114 | 1.610336 |
| 0.543057 | 1.610232 |
| 0.544001 | 1.610128 |
| 0.544947 | 1.610025 |
| 0.545894 | 1.609923 |
| 0.546843 | 1.60982 |
| 0.547794 | 1.609719 |
| 0.548747 | 1.609618 |
| 0.549701 | 1.609517 |
| 0.550657 | 1.609417 |
| 0.551614 | 1.609317 |
| 0.552573 | 1.609218 |
| 0.553534 | 1.609119 |
| 0.554496 | 1.609021 |
| 0.55546 | 1.608923 |
| 0.556426 | 1.608826 |
| 0.557394 | 1.608729 |
| 0.558363 | 1.608633 |
| 0.559334 | 1.608537 |
| 0.560306 | 1.608441 |
| 0.56128 | 1.608346 |
| 0.562256 | 1.608252 |
| 0.563234 | 1.608158 |
| 0.564213 | 1.608064 |
| 0.565194 | 1.607971 |
| 0.566177 | 1.607878 |
| 0.567161 | 1.607786 |
| 0.568148 | 1.607694 |
| 0.569135 | 1.607602 |
| 0.570125 | 1.607511 |
| 0.571116 | 1.607421 |
| 0.572109 | 1.60733 |
| 0.573104 | 1.607241 |
| 0.5741 | 1.607151 |
| 0.575099 | 1.607062 |
| 0.576099 | 1.606974 |
| 0.5771 | 1.606886 |
| 0.578104 | 1.606798 |
| 0.579109 | 1.606711 |
| 0.580116 | 1.606624 |
| 0.581124 | 1.606537 |
| 0.582135 | 1.606451 |
| 0.583147 | 1.606366 |
| 0.584161 | 1.60628 |
| 0.585177 | 1.606196 |
| 0.586194 | 1.606111 |
| 0.587213 | 1.606027 |
| 0.588234 | 1.605943 |
| 0.589257 | 1.60586 |
| 0.590282 | 1.605777 |
| 0.591308 | 1.605694 |
| 0.592336 | 1.605612 |
| 0.593366 | 1.60553 |
| 0.594398 | 1.605449 |
| 0.595431 | 1.605368 |
| 0.596466 | 1.605287 |
| 0.597504 | 1.605207 |
| 0.598542 | 1.605127 |
| 0.599583 | 1.605047 |
| 0.600626 | 1.604968 |
| 0.60167 | 1.604889 |
| 0.602716 | 1.604811 |
| 0.603764 | 1.604733 |
| 0.604814 | 1.604655 |
| 0.605865 | 1.604577 |
| 0.606919 | 1.6045 |
| 0.607974 | 1.604424 |
| 0.609031 | 1.604347 |
| 0.61009 | 1.604271 |
| 0.611151 | 1.604195 |
| 0.612214 | 1.60412 |
| 0.613278 | 1.604045 |
| 0.614344 | 1.60397 |
| 0.615413 | 1.603896 |
| 0.616483 | 1.603822 |
| 0.617554 | 1.603748 |
| 0.618628 | 1.603675 |
| 0.619704 | 1.603602 |
| 0.620781 | 1.603529 |
| 0.621861 | 1.603457 |
| 0.622942 | 1.603385 |
| 0.624025 | 1.603313 |
| 0.62511 | 1.603242 |
| 0.626197 | 1.603171 |
| 0.627286 | 1.6031 |
| 0.628376 | 1.603029 |
| 0.629469 | 1.602959 |
| 0.630563 | 1.602889 |
| 0.63166 | 1.60282 |
| 0.632758 | 1.602751 |
| 0.633858 | 1.602682 |
| 0.63496 | 1.602613 |
| 0.636064 | 1.602545 |
| 0.63717 | 1.602477 |
| 0.638278 | 1.602409 |
| 0.639388 | 1.602342 |
| 0.6405 | 1.602275 |
| 0.641613 | 1.602208 |
| 0.642729 | 1.602141 |
| 0.643847 | 1.602075 |
| 0.644966 | 1.602009 |
| 0.646087 | 1.601944 |
| 0.647211 | 1.601878 |
| 0.648336 | 1.601813 |
| 0.649463 | 1.601748 |
| 0.650593 | 1.601684 |
| 0.651724 | 1.60162 |
| 0.652857 | 1.601556 |
| 0.653992 | 1.601492 |
| 0.655129 | 1.601429 |
| 0.656268 | 1.601366 |
| 0.657409 | 1.601303 |
| 0.658552 | 1.60124 |
| 0.659697 | 1.601178 |
| 0.660844 | 1.601116 |
| 0.661993 | 1.601054 |
| 0.663145 | 1.600993 |
| 0.664298 | 1.600932 |
| 0.665453 | 1.600871 |
| 0.66661 | 1.60081 |
| 0.667769 | 1.60075 |
| 0.66893 | 1.600689 |
| 0.670093 | 1.60063 |
| 0.671258 | 1.60057 |
| 0.672425 | 1.600511 |
| 0.673594 | 1.600451 |
| 0.674765 | 1.600393 |
| 0.675939 | 1.600334 |
| 0.677114 | 1.600276 |
| 0.678291 | 1.600217 |
| 0.679471 | 1.60016 |
| 0.680652 | 1.600102 |
| 0.681835 | 1.600045 |
| 0.683021 | 1.599988 |
| 0.684209 | 1.599931 |
| 0.685398 | 1.599874 |
| 0.68659 | 1.599818 |
| 0.687784 | 1.599761 |
| 0.68898 | 1.599706 |
| 0.690177 | 1.59965 |
| 0.691378 | 1.599594 |
| 0.69258 | 1.599539 |
| 0.693784 | 1.599484 |
| 0.69499 | 1.59943 |
| 0.696199 | 1.599375 |
| 0.697409 | 1.599321 |
| 0.698622 | 1.599267 |
| 0.699836 | 1.599213 |
| 0.701053 | 1.599159 |
| 0.702272 | 1.599106 |
| 0.703493 | 1.599053 |
| 0.704716 | 1.599 |
| 0.705942 | 1.598947 |
| 0.707169 | 1.598895 |
| 0.708399 | 1.598843 |
| 0.70963 | 1.598791 |
| 0.710864 | 1.598739 |
| 0.7121 | 1.598687 |
| 0.713338 | 1.598636 |
| 0.714579 | 1.598585 |
| 0.715821 | 1.598534 |
| 0.717066 | 1.598483 |
| 0.718312 | 1.598432 |
| 0.719561 | 1.598382 |
| 0.720813 | 1.598332 |
| 0.722066 | 1.598282 |
| 0.723321 | 1.598233 |
| 0.724579 | 1.598183 |
| 0.725839 | 1.598134 |
| 0.727101 | 1.598085 |
| 0.728365 | 1.598036 |
| 0.729631 | 1.597987 |
| 0.7309 | 1.597939 |
| 0.732171 | 1.597891 |
| 0.733444 | 1.597843 |
| 0.734719 | 1.597795 |
| 0.735997 | 1.597747 |
| 0.737276 | 1.5977 |
| 0.738558 | 1.597652 |
| 0.739842 | 1.597605 |
| 0.741129 | 1.597559 |
| 0.742417 | 1.597512 |
| 0.743708 | 1.597465 |
| 0.745001 | 1.597419 |
| 0.746297 | 1.597373 |
| 0.747594 | 1.597327 |
| 0.748894 | 1.597282 |
| 0.750196 | 1.597236 |
| 0.751501 | 1.597191 |
| 0.752807 | 1.597146 |
| 0.754116 | 1.597101 |
| 0.755427 | 1.597056 |
| 0.756741 | 1.597011 |
| 0.758057 | 1.596967 |
| 0.759375 | 1.596923 |
| 0.760695 | 1.596879 |
| 0.762018 | 1.596835 |
| 0.763343 | 1.596791 |
| 0.76467 | 1.596748 |
| 0.765999 | 1.596704 |
| 0.767331 | 1.596661 |
| 0.768665 | 1.596618 |
| 0.770002 | 1.596575 |
| 0.771341 | 1.596533 |
| 0.772682 | 1.59649 |
| 0.774025 | 1.596448 |
| 0.775371 | 1.596406 |
| 0.776719 | 1.596364 |
| 0.77807 | 1.596322 |
| 0.779423 | 1.596281 |
| 0.780778 | 1.596239 |
| 0.782135 | 1.596198 |
| 0.783495 | 1.596157 |
| 0.784858 | 1.596116 |
| 0.786222 | 1.596075 |
| 0.787589 | 1.596035 |
| 0.788959 | 1.595994 |
| 0.790331 | 1.595954 |
| 0.791705 | 1.595914 |
| 0.793081 | 1.595874 |
| 0.79446 | 1.595834 |
| 0.795842 | 1.595795 |
| 0.797225 | 1.595755 |
| 0.798611 | 1.595716 |
| 0.8 | 1.595677 |
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
- —
34.8 °C. Extraordinary ray (e).