Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(o) 0.4–0.8 µm; 30.4 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 303.55 K
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: o
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.48895
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.21698
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 45.947
- Chromatic dispersion dn/dλ
- -0.0525448 µm⁻¹
- Group index ng
- 1.51983
- Group velocity dispersion
- 116.494 fs²/mm
- Dispersion parameter D
- -635.537 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; 30.4 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-30.4-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_0a060eac9c68/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-1993-30-4-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 | 0.3869 |
| C2 | 1.4866 |
| C3 | 25.0 |
| C4 | 0.5293 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 303.55 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 | 1.510823 |
| 0.400695 | 1.51065 |
| 0.401392 | 1.510478 |
| 0.40209 | 1.510307 |
| 0.402789 | 1.510138 |
| 0.40349 | 1.509969 |
| 0.404191 | 1.509801 |
| 0.404894 | 1.509635 |
| 0.405598 | 1.509469 |
| 0.406303 | 1.509305 |
| 0.40701 | 1.509141 |
| 0.407717 | 1.508979 |
| 0.408426 | 1.508818 |
| 0.409136 | 1.508657 |
| 0.409848 | 1.508498 |
| 0.41056 | 1.50834 |
| 0.411274 | 1.508182 |
| 0.411989 | 1.508026 |
| 0.412706 | 1.50787 |
| 0.413423 | 1.507716 |
| 0.414142 | 1.507562 |
| 0.414862 | 1.50741 |
| 0.415583 | 1.507258 |
| 0.416306 | 1.507107 |
| 0.41703 | 1.506957 |
| 0.417755 | 1.506808 |
| 0.418481 | 1.50666 |
| 0.419209 | 1.506513 |
| 0.419938 | 1.506367 |
| 0.420668 | 1.506222 |
| 0.421399 | 1.506077 |
| 0.422132 | 1.505934 |
| 0.422866 | 1.505791 |
| 0.423601 | 1.505649 |
| 0.424338 | 1.505508 |
| 0.425076 | 1.505368 |
| 0.425815 | 1.505228 |
| 0.426555 | 1.50509 |
| 0.427297 | 1.504952 |
| 0.42804 | 1.504815 |
| 0.428784 | 1.504679 |
| 0.429529 | 1.504543 |
| 0.430276 | 1.504409 |
| 0.431024 | 1.504275 |
| 0.431774 | 1.504142 |
| 0.432525 | 1.50401 |
| 0.433277 | 1.503878 |
| 0.43403 | 1.503748 |
| 0.434785 | 1.503618 |
| 0.435541 | 1.503489 |
| 0.436298 | 1.50336 |
| 0.437056 | 1.503232 |
| 0.437816 | 1.503106 |
| 0.438578 | 1.502979 |
| 0.43934 | 1.502854 |
| 0.440104 | 1.502729 |
| 0.440869 | 1.502605 |
| 0.441636 | 1.502482 |
| 0.442404 | 1.502359 |
| 0.443173 | 1.502237 |
| 0.443943 | 1.502116 |
| 0.444715 | 1.501995 |
| 0.445489 | 1.501875 |
| 0.446263 | 1.501756 |
| 0.447039 | 1.501637 |
| 0.447816 | 1.501519 |
| 0.448595 | 1.501402 |
| 0.449375 | 1.501286 |
| 0.450156 | 1.50117 |
| 0.450939 | 1.501054 |
| 0.451723 | 1.50094 |
| 0.452508 | 1.500826 |
| 0.453295 | 1.500712 |
| 0.454083 | 1.5006 |
| 0.454873 | 1.500488 |
| 0.455664 | 1.500376 |
| 0.456456 | 1.500265 |
| 0.45725 | 1.500155 |
| 0.458045 | 1.500045 |
| 0.458841 | 1.499936 |
| 0.459639 | 1.499828 |
| 0.460438 | 1.49972 |
| 0.461239 | 1.499612 |
| 0.462041 | 1.499506 |
| 0.462844 | 1.4994 |
| 0.463649 | 1.499294 |
| 0.464455 | 1.499189 |
| 0.465263 | 1.499085 |
| 0.466072 | 1.498981 |
| 0.466882 | 1.498877 |
| 0.467694 | 1.498775 |
| 0.468507 | 1.498672 |
| 0.469321 | 1.498571 |
| 0.470137 | 1.49847 |
| 0.470955 | 1.498369 |
| 0.471774 | 1.498269 |
| 0.472594 | 1.49817 |
| 0.473416 | 1.498071 |
| 0.474239 | 1.497972 |
| 0.475063 | 1.497874 |
| 0.475889 | 1.497777 |
| 0.476717 | 1.49768 |
| 0.477546 | 1.497584 |
| 0.478376 | 1.497488 |
| 0.479208 | 1.497392 |
| 0.480041 | 1.497298 |
| 0.480876 | 1.497203 |
| 0.481712 | 1.497109 |
| 0.482549 | 1.497016 |
| 0.483388 | 1.496923 |
| 0.484229 | 1.496831 |
| 0.485071 | 1.496739 |
| 0.485914 | 1.496647 |
| 0.486759 | 1.496556 |
| 0.487605 | 1.496466 |
| 0.488453 | 1.496376 |
| 0.489303 | 1.496286 |
| 0.490153 | 1.496197 |
| 0.491006 | 1.496109 |
| 0.491859 | 1.49602 |
| 0.492714 | 1.495933 |
| 0.493571 | 1.495845 |
| 0.494429 | 1.495758 |
| 0.495289 | 1.495672 |
| 0.49615 | 1.495586 |
| 0.497013 | 1.495501 |
| 0.497877 | 1.495416 |
| 0.498743 | 1.495331 |
| 0.49961 | 1.495247 |
| 0.500479 | 1.495163 |
| 0.501349 | 1.49508 |
| 0.50222 | 1.494997 |
| 0.503094 | 1.494914 |
| 0.503968 | 1.494832 |
| 0.504845 | 1.49475 |
| 0.505722 | 1.494669 |
| 0.506602 | 1.494588 |
| 0.507483 | 1.494508 |
| 0.508365 | 1.494428 |
| 0.509249 | 1.494348 |
| 0.510134 | 1.494269 |
| 0.511021 | 1.49419 |
| 0.51191 | 1.494111 |
| 0.5128 | 1.494033 |
| 0.513692 | 1.493956 |
| 0.514585 | 1.493878 |
| 0.515479 | 1.493801 |
| 0.516376 | 1.493725 |
| 0.517274 | 1.493649 |
| 0.518173 | 1.493573 |
| 0.519074 | 1.493497 |
| 0.519976 | 1.493422 |
| 0.52088 | 1.493348 |
| 0.521786 | 1.493273 |
| 0.522693 | 1.493199 |
| 0.523602 | 1.493126 |
| 0.524513 | 1.493053 |
| 0.525425 | 1.49298 |
| 0.526338 | 1.492907 |
| 0.527253 | 1.492835 |
| 0.52817 | 1.492763 |
| 0.529088 | 1.492692 |
| 0.530008 | 1.492621 |
| 0.53093 | 1.49255 |
| 0.531853 | 1.49248 |
| 0.532778 | 1.492409 |
| 0.533704 | 1.49234 |
| 0.534632 | 1.49227 |
| 0.535562 | 1.492201 |
| 0.536493 | 1.492133 |
| 0.537426 | 1.492064 |
| 0.53836 | 1.491996 |
| 0.539296 | 1.491928 |
| 0.540234 | 1.491861 |
| 0.541173 | 1.491794 |
| 0.542114 | 1.491727 |
| 0.543057 | 1.491661 |
| 0.544001 | 1.491594 |
| 0.544947 | 1.491529 |
| 0.545894 | 1.491463 |
| 0.546843 | 1.491398 |
| 0.547794 | 1.491333 |
| 0.548747 | 1.491268 |
| 0.549701 | 1.491204 |
| 0.550657 | 1.49114 |
| 0.551614 | 1.491076 |
| 0.552573 | 1.491013 |
| 0.553534 | 1.49095 |
| 0.554496 | 1.490887 |
| 0.55546 | 1.490825 |
| 0.556426 | 1.490763 |
| 0.557394 | 1.490701 |
| 0.558363 | 1.490639 |
| 0.559334 | 1.490578 |
| 0.560306 | 1.490517 |
| 0.56128 | 1.490456 |
| 0.562256 | 1.490396 |
| 0.563234 | 1.490335 |
| 0.564213 | 1.490276 |
| 0.565194 | 1.490216 |
| 0.566177 | 1.490157 |
| 0.567161 | 1.490098 |
| 0.568148 | 1.490039 |
| 0.569135 | 1.48998 |
| 0.570125 | 1.489922 |
| 0.571116 | 1.489864 |
| 0.572109 | 1.489806 |
| 0.573104 | 1.489749 |
| 0.5741 | 1.489692 |
| 0.575099 | 1.489635 |
| 0.576099 | 1.489578 |
| 0.5771 | 1.489522 |
| 0.578104 | 1.489466 |
| 0.579109 | 1.48941 |
| 0.580116 | 1.489354 |
| 0.581124 | 1.489299 |
| 0.582135 | 1.489244 |
| 0.583147 | 1.489189 |
| 0.584161 | 1.489134 |
| 0.585177 | 1.48908 |
| 0.586194 | 1.489026 |
| 0.587213 | 1.488972 |
| 0.588234 | 1.488918 |
| 0.589257 | 1.488865 |
| 0.590282 | 1.488812 |
| 0.591308 | 1.488759 |
| 0.592336 | 1.488706 |
| 0.593366 | 1.488654 |
| 0.594398 | 1.488602 |
| 0.595431 | 1.48855 |
| 0.596466 | 1.488498 |
| 0.597504 | 1.488447 |
| 0.598542 | 1.488396 |
| 0.599583 | 1.488345 |
| 0.600626 | 1.488294 |
| 0.60167 | 1.488243 |
| 0.602716 | 1.488193 |
| 0.603764 | 1.488143 |
| 0.604814 | 1.488093 |
| 0.605865 | 1.488043 |
| 0.606919 | 1.487994 |
| 0.607974 | 1.487945 |
| 0.609031 | 1.487896 |
| 0.61009 | 1.487847 |
| 0.611151 | 1.487798 |
| 0.612214 | 1.48775 |
| 0.613278 | 1.487702 |
| 0.614344 | 1.487654 |
| 0.615413 | 1.487606 |
| 0.616483 | 1.487559 |
| 0.617554 | 1.487512 |
| 0.618628 | 1.487465 |
| 0.619704 | 1.487418 |
| 0.620781 | 1.487371 |
| 0.621861 | 1.487325 |
| 0.622942 | 1.487279 |
| 0.624025 | 1.487233 |
| 0.62511 | 1.487187 |
| 0.626197 | 1.487141 |
| 0.627286 | 1.487096 |
| 0.628376 | 1.487051 |
| 0.629469 | 1.487006 |
| 0.630563 | 1.486961 |
| 0.63166 | 1.486916 |
| 0.632758 | 1.486872 |
| 0.633858 | 1.486827 |
| 0.63496 | 1.486783 |
| 0.636064 | 1.48674 |
| 0.63717 | 1.486696 |
| 0.638278 | 1.486652 |
| 0.639388 | 1.486609 |
| 0.6405 | 1.486566 |
| 0.641613 | 1.486523 |
| 0.642729 | 1.48648 |
| 0.643847 | 1.486438 |
| 0.644966 | 1.486396 |
| 0.646087 | 1.486353 |
| 0.647211 | 1.486311 |
| 0.648336 | 1.48627 |
| 0.649463 | 1.486228 |
| 0.650593 | 1.486187 |
| 0.651724 | 1.486145 |
| 0.652857 | 1.486104 |
| 0.653992 | 1.486063 |
| 0.655129 | 1.486023 |
| 0.656268 | 1.485982 |
| 0.657409 | 1.485942 |
| 0.658552 | 1.485902 |
| 0.659697 | 1.485862 |
| 0.660844 | 1.485822 |
| 0.661993 | 1.485782 |
| 0.663145 | 1.485743 |
| 0.664298 | 1.485703 |
| 0.665453 | 1.485664 |
| 0.66661 | 1.485625 |
| 0.667769 | 1.485586 |
| 0.66893 | 1.485548 |
| 0.670093 | 1.485509 |
| 0.671258 | 1.485471 |
| 0.672425 | 1.485433 |
| 0.673594 | 1.485395 |
| 0.674765 | 1.485357 |
| 0.675939 | 1.485319 |
| 0.677114 | 1.485281 |
| 0.678291 | 1.485244 |
| 0.679471 | 1.485207 |
| 0.680652 | 1.48517 |
| 0.681835 | 1.485133 |
| 0.683021 | 1.485096 |
| 0.684209 | 1.48506 |
| 0.685398 | 1.485023 |
| 0.68659 | 1.484987 |
| 0.687784 | 1.484951 |
| 0.68898 | 1.484915 |
| 0.690177 | 1.484879 |
| 0.691378 | 1.484843 |
| 0.69258 | 1.484808 |
| 0.693784 | 1.484772 |
| 0.69499 | 1.484737 |
| 0.696199 | 1.484702 |
| 0.697409 | 1.484667 |
| 0.698622 | 1.484633 |
| 0.699836 | 1.484598 |
| 0.701053 | 1.484563 |
| 0.702272 | 1.484529 |
| 0.703493 | 1.484495 |
| 0.704716 | 1.484461 |
| 0.705942 | 1.484427 |
| 0.707169 | 1.484393 |
| 0.708399 | 1.48436 |
| 0.70963 | 1.484326 |
| 0.710864 | 1.484293 |
| 0.7121 | 1.484259 |
| 0.713338 | 1.484226 |
| 0.714579 | 1.484193 |
| 0.715821 | 1.484161 |
| 0.717066 | 1.484128 |
| 0.718312 | 1.484096 |
| 0.719561 | 1.484063 |
| 0.720813 | 1.484031 |
| 0.722066 | 1.483999 |
| 0.723321 | 1.483967 |
| 0.724579 | 1.483935 |
| 0.725839 | 1.483903 |
| 0.727101 | 1.483872 |
| 0.728365 | 1.48384 |
| 0.729631 | 1.483809 |
| 0.7309 | 1.483778 |
| 0.732171 | 1.483747 |
| 0.733444 | 1.483716 |
| 0.734719 | 1.483685 |
| 0.735997 | 1.483654 |
| 0.737276 | 1.483624 |
| 0.738558 | 1.483593 |
| 0.739842 | 1.483563 |
| 0.741129 | 1.483533 |
| 0.742417 | 1.483503 |
| 0.743708 | 1.483473 |
| 0.745001 | 1.483443 |
| 0.746297 | 1.483413 |
| 0.747594 | 1.483384 |
| 0.748894 | 1.483354 |
| 0.750196 | 1.483325 |
| 0.751501 | 1.483296 |
| 0.752807 | 1.483266 |
| 0.754116 | 1.483237 |
| 0.755427 | 1.483209 |
| 0.756741 | 1.48318 |
| 0.758057 | 1.483151 |
| 0.759375 | 1.483123 |
| 0.760695 | 1.483094 |
| 0.762018 | 1.483066 |
| 0.763343 | 1.483038 |
| 0.76467 | 1.48301 |
| 0.765999 | 1.482982 |
| 0.767331 | 1.482954 |
| 0.768665 | 1.482926 |
| 0.770002 | 1.482899 |
| 0.771341 | 1.482871 |
| 0.772682 | 1.482844 |
| 0.774025 | 1.482817 |
| 0.775371 | 1.48279 |
| 0.776719 | 1.482763 |
| 0.77807 | 1.482736 |
| 0.779423 | 1.482709 |
| 0.780778 | 1.482682 |
| 0.782135 | 1.482656 |
| 0.783495 | 1.482629 |
| 0.784858 | 1.482603 |
| 0.786222 | 1.482576 |
| 0.787589 | 1.48255 |
| 0.788959 | 1.482524 |
| 0.790331 | 1.482498 |
| 0.791705 | 1.482472 |
| 0.793081 | 1.482447 |
| 0.79446 | 1.482421 |
| 0.795842 | 1.482395 |
| 0.797225 | 1.48237 |
| 0.798611 | 1.482345 |
| 0.8 | 1.482319 |
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. Ordinary ray (o).