Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(e) 0.4–0.8 µm; 50.8 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 323.95 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
- 1.58674
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.51774
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 37.757
- Chromatic dispersion dn/dλ
- -0.0765398 µm⁻¹
- Group index ng
- 1.63171
- Group velocity dispersion
- 171.211 fs²/mm
- Dispersion parameter D
- -934.048 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; 50.8 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-50.8C-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_282169ed2590/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-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 | 0.4454 |
| C2 | 1.6469 |
| C3 | 25.0 |
| C4 | 1.0166 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 323.95 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 | 1.618968 |
| 0.400695 | 1.61871 |
| 0.401392 | 1.618454 |
| 0.40209 | 1.618199 |
| 0.402789 | 1.617947 |
| 0.40349 | 1.617695 |
| 0.404191 | 1.617446 |
| 0.404894 | 1.617198 |
| 0.405598 | 1.616952 |
| 0.406303 | 1.616707 |
| 0.40701 | 1.616464 |
| 0.407717 | 1.616222 |
| 0.408426 | 1.615982 |
| 0.409136 | 1.615743 |
| 0.409848 | 1.615506 |
| 0.41056 | 1.615271 |
| 0.411274 | 1.615037 |
| 0.411989 | 1.614805 |
| 0.412706 | 1.614573 |
| 0.413423 | 1.614344 |
| 0.414142 | 1.614116 |
| 0.414862 | 1.613889 |
| 0.415583 | 1.613664 |
| 0.416306 | 1.61344 |
| 0.41703 | 1.613217 |
| 0.417755 | 1.612996 |
| 0.418481 | 1.612777 |
| 0.419209 | 1.612558 |
| 0.419938 | 1.612341 |
| 0.420668 | 1.612126 |
| 0.421399 | 1.611911 |
| 0.422132 | 1.611698 |
| 0.422866 | 1.611487 |
| 0.423601 | 1.611276 |
| 0.424338 | 1.611067 |
| 0.425076 | 1.610859 |
| 0.425815 | 1.610653 |
| 0.426555 | 1.610447 |
| 0.427297 | 1.610243 |
| 0.42804 | 1.61004 |
| 0.428784 | 1.609839 |
| 0.429529 | 1.609638 |
| 0.430276 | 1.609439 |
| 0.431024 | 1.609241 |
| 0.431774 | 1.609044 |
| 0.432525 | 1.608848 |
| 0.433277 | 1.608654 |
| 0.43403 | 1.60846 |
| 0.434785 | 1.608268 |
| 0.435541 | 1.608077 |
| 0.436298 | 1.607887 |
| 0.437056 | 1.607698 |
| 0.437816 | 1.607511 |
| 0.438578 | 1.607324 |
| 0.43934 | 1.607139 |
| 0.440104 | 1.606954 |
| 0.440869 | 1.606771 |
| 0.441636 | 1.606588 |
| 0.442404 | 1.606407 |
| 0.443173 | 1.606227 |
| 0.443943 | 1.606048 |
| 0.444715 | 1.60587 |
| 0.445489 | 1.605693 |
| 0.446263 | 1.605517 |
| 0.447039 | 1.605342 |
| 0.447816 | 1.605168 |
| 0.448595 | 1.604995 |
| 0.449375 | 1.604823 |
| 0.450156 | 1.604651 |
| 0.450939 | 1.604481 |
| 0.451723 | 1.604312 |
| 0.452508 | 1.604144 |
| 0.453295 | 1.603977 |
| 0.454083 | 1.603811 |
| 0.454873 | 1.603645 |
| 0.455664 | 1.603481 |
| 0.456456 | 1.603317 |
| 0.45725 | 1.603155 |
| 0.458045 | 1.602993 |
| 0.458841 | 1.602832 |
| 0.459639 | 1.602672 |
| 0.460438 | 1.602514 |
| 0.461239 | 1.602355 |
| 0.462041 | 1.602198 |
| 0.462844 | 1.602042 |
| 0.463649 | 1.601886 |
| 0.464455 | 1.601732 |
| 0.465263 | 1.601578 |
| 0.466072 | 1.601425 |
| 0.466882 | 1.601273 |
| 0.467694 | 1.601122 |
| 0.468507 | 1.600972 |
| 0.469321 | 1.600822 |
| 0.470137 | 1.600673 |
| 0.470955 | 1.600525 |
| 0.471774 | 1.600378 |
| 0.472594 | 1.600232 |
| 0.473416 | 1.600086 |
| 0.474239 | 1.599941 |
| 0.475063 | 1.599797 |
| 0.475889 | 1.599654 |
| 0.476717 | 1.599512 |
| 0.477546 | 1.59937 |
| 0.478376 | 1.599229 |
| 0.479208 | 1.599089 |
| 0.480041 | 1.59895 |
| 0.480876 | 1.598811 |
| 0.481712 | 1.598673 |
| 0.482549 | 1.598536 |
| 0.483388 | 1.598399 |
| 0.484229 | 1.598264 |
| 0.485071 | 1.598129 |
| 0.485914 | 1.597994 |
| 0.486759 | 1.597861 |
| 0.487605 | 1.597728 |
| 0.488453 | 1.597596 |
| 0.489303 | 1.597464 |
| 0.490153 | 1.597333 |
| 0.491006 | 1.597203 |
| 0.491859 | 1.597074 |
| 0.492714 | 1.596945 |
| 0.493571 | 1.596817 |
| 0.494429 | 1.59669 |
| 0.495289 | 1.596563 |
| 0.49615 | 1.596437 |
| 0.497013 | 1.596311 |
| 0.497877 | 1.596187 |
| 0.498743 | 1.596063 |
| 0.49961 | 1.595939 |
| 0.500479 | 1.595816 |
| 0.501349 | 1.595694 |
| 0.50222 | 1.595572 |
| 0.503094 | 1.595451 |
| 0.503968 | 1.595331 |
| 0.504845 | 1.595211 |
| 0.505722 | 1.595092 |
| 0.506602 | 1.594974 |
| 0.507483 | 1.594856 |
| 0.508365 | 1.594738 |
| 0.509249 | 1.594622 |
| 0.510134 | 1.594506 |
| 0.511021 | 1.59439 |
| 0.51191 | 1.594275 |
| 0.5128 | 1.594161 |
| 0.513692 | 1.594047 |
| 0.514585 | 1.593934 |
| 0.515479 | 1.593821 |
| 0.516376 | 1.593709 |
| 0.517274 | 1.593598 |
| 0.518173 | 1.593487 |
| 0.519074 | 1.593376 |
| 0.519976 | 1.593266 |
| 0.52088 | 1.593157 |
| 0.521786 | 1.593048 |
| 0.522693 | 1.59294 |
| 0.523602 | 1.592833 |
| 0.524513 | 1.592725 |
| 0.525425 | 1.592619 |
| 0.526338 | 1.592513 |
| 0.527253 | 1.592407 |
| 0.52817 | 1.592302 |
| 0.529088 | 1.592198 |
| 0.530008 | 1.592094 |
| 0.53093 | 1.59199 |
| 0.531853 | 1.591887 |
| 0.532778 | 1.591785 |
| 0.533704 | 1.591683 |
| 0.534632 | 1.591581 |
| 0.535562 | 1.591481 |
| 0.536493 | 1.59138 |
| 0.537426 | 1.59128 |
| 0.53836 | 1.591181 |
| 0.539296 | 1.591082 |
| 0.540234 | 1.590983 |
| 0.541173 | 1.590885 |
| 0.542114 | 1.590788 |
| 0.543057 | 1.59069 |
| 0.544001 | 1.590594 |
| 0.544947 | 1.590498 |
| 0.545894 | 1.590402 |
| 0.546843 | 1.590307 |
| 0.547794 | 1.590212 |
| 0.548747 | 1.590118 |
| 0.549701 | 1.590024 |
| 0.550657 | 1.58993 |
| 0.551614 | 1.589838 |
| 0.552573 | 1.589745 |
| 0.553534 | 1.589653 |
| 0.554496 | 1.589561 |
| 0.55546 | 1.58947 |
| 0.556426 | 1.589379 |
| 0.557394 | 1.589289 |
| 0.558363 | 1.589199 |
| 0.559334 | 1.58911 |
| 0.560306 | 1.589021 |
| 0.56128 | 1.588932 |
| 0.562256 | 1.588844 |
| 0.563234 | 1.588756 |
| 0.564213 | 1.588669 |
| 0.565194 | 1.588582 |
| 0.566177 | 1.588495 |
| 0.567161 | 1.588409 |
| 0.568148 | 1.588323 |
| 0.569135 | 1.588238 |
| 0.570125 | 1.588153 |
| 0.571116 | 1.588069 |
| 0.572109 | 1.587984 |
| 0.573104 | 1.587901 |
| 0.5741 | 1.587817 |
| 0.575099 | 1.587734 |
| 0.576099 | 1.587652 |
| 0.5771 | 1.58757 |
| 0.578104 | 1.587488 |
| 0.579109 | 1.587406 |
| 0.580116 | 1.587325 |
| 0.581124 | 1.587245 |
| 0.582135 | 1.587165 |
| 0.583147 | 1.587085 |
| 0.584161 | 1.587005 |
| 0.585177 | 1.586926 |
| 0.586194 | 1.586847 |
| 0.587213 | 1.586769 |
| 0.588234 | 1.586691 |
| 0.589257 | 1.586613 |
| 0.590282 | 1.586535 |
| 0.591308 | 1.586458 |
| 0.592336 | 1.586382 |
| 0.593366 | 1.586305 |
| 0.594398 | 1.586229 |
| 0.595431 | 1.586154 |
| 0.596466 | 1.586079 |
| 0.597504 | 1.586004 |
| 0.598542 | 1.585929 |
| 0.599583 | 1.585855 |
| 0.600626 | 1.585781 |
| 0.60167 | 1.585707 |
| 0.602716 | 1.585634 |
| 0.603764 | 1.585561 |
| 0.604814 | 1.585489 |
| 0.605865 | 1.585416 |
| 0.606919 | 1.585345 |
| 0.607974 | 1.585273 |
| 0.609031 | 1.585202 |
| 0.61009 | 1.585131 |
| 0.611151 | 1.58506 |
| 0.612214 | 1.58499 |
| 0.613278 | 1.58492 |
| 0.614344 | 1.58485 |
| 0.615413 | 1.584781 |
| 0.616483 | 1.584712 |
| 0.617554 | 1.584643 |
| 0.618628 | 1.584575 |
| 0.619704 | 1.584506 |
| 0.620781 | 1.584439 |
| 0.621861 | 1.584371 |
| 0.622942 | 1.584304 |
| 0.624025 | 1.584237 |
| 0.62511 | 1.58417 |
| 0.626197 | 1.584104 |
| 0.627286 | 1.584038 |
| 0.628376 | 1.583972 |
| 0.629469 | 1.583907 |
| 0.630563 | 1.583842 |
| 0.63166 | 1.583777 |
| 0.632758 | 1.583712 |
| 0.633858 | 1.583648 |
| 0.63496 | 1.583584 |
| 0.636064 | 1.58352 |
| 0.63717 | 1.583457 |
| 0.638278 | 1.583394 |
| 0.639388 | 1.583331 |
| 0.6405 | 1.583268 |
| 0.641613 | 1.583206 |
| 0.642729 | 1.583144 |
| 0.643847 | 1.583082 |
| 0.644966 | 1.583021 |
| 0.646087 | 1.582959 |
| 0.647211 | 1.582898 |
| 0.648336 | 1.582838 |
| 0.649463 | 1.582777 |
| 0.650593 | 1.582717 |
| 0.651724 | 1.582657 |
| 0.652857 | 1.582598 |
| 0.653992 | 1.582538 |
| 0.655129 | 1.582479 |
| 0.656268 | 1.58242 |
| 0.657409 | 1.582362 |
| 0.658552 | 1.582303 |
| 0.659697 | 1.582245 |
| 0.660844 | 1.582187 |
| 0.661993 | 1.58213 |
| 0.663145 | 1.582072 |
| 0.664298 | 1.582015 |
| 0.665453 | 1.581958 |
| 0.66661 | 1.581902 |
| 0.667769 | 1.581845 |
| 0.66893 | 1.581789 |
| 0.670093 | 1.581733 |
| 0.671258 | 1.581678 |
| 0.672425 | 1.581622 |
| 0.673594 | 1.581567 |
| 0.674765 | 1.581512 |
| 0.675939 | 1.581457 |
| 0.677114 | 1.581403 |
| 0.678291 | 1.581349 |
| 0.679471 | 1.581295 |
| 0.680652 | 1.581241 |
| 0.681835 | 1.581187 |
| 0.683021 | 1.581134 |
| 0.684209 | 1.581081 |
| 0.685398 | 1.581028 |
| 0.68659 | 1.580976 |
| 0.687784 | 1.580923 |
| 0.68898 | 1.580871 |
| 0.690177 | 1.580819 |
| 0.691378 | 1.580767 |
| 0.69258 | 1.580716 |
| 0.693784 | 1.580665 |
| 0.69499 | 1.580614 |
| 0.696199 | 1.580563 |
| 0.697409 | 1.580512 |
| 0.698622 | 1.580462 |
| 0.699836 | 1.580411 |
| 0.701053 | 1.580361 |
| 0.702272 | 1.580312 |
| 0.703493 | 1.580262 |
| 0.704716 | 1.580213 |
| 0.705942 | 1.580163 |
| 0.707169 | 1.580115 |
| 0.708399 | 1.580066 |
| 0.70963 | 1.580017 |
| 0.710864 | 1.579969 |
| 0.7121 | 1.579921 |
| 0.713338 | 1.579873 |
| 0.714579 | 1.579825 |
| 0.715821 | 1.579778 |
| 0.717066 | 1.57973 |
| 0.718312 | 1.579683 |
| 0.719561 | 1.579636 |
| 0.720813 | 1.579589 |
| 0.722066 | 1.579543 |
| 0.723321 | 1.579497 |
| 0.724579 | 1.57945 |
| 0.725839 | 1.579404 |
| 0.727101 | 1.579359 |
| 0.728365 | 1.579313 |
| 0.729631 | 1.579268 |
| 0.7309 | 1.579223 |
| 0.732171 | 1.579177 |
| 0.733444 | 1.579133 |
| 0.734719 | 1.579088 |
| 0.735997 | 1.579044 |
| 0.737276 | 1.578999 |
| 0.738558 | 1.578955 |
| 0.739842 | 1.578911 |
| 0.741129 | 1.578868 |
| 0.742417 | 1.578824 |
| 0.743708 | 1.578781 |
| 0.745001 | 1.578738 |
| 0.746297 | 1.578695 |
| 0.747594 | 1.578652 |
| 0.748894 | 1.578609 |
| 0.750196 | 1.578567 |
| 0.751501 | 1.578524 |
| 0.752807 | 1.578482 |
| 0.754116 | 1.57844 |
| 0.755427 | 1.578398 |
| 0.756741 | 1.578357 |
| 0.758057 | 1.578315 |
| 0.759375 | 1.578274 |
| 0.760695 | 1.578233 |
| 0.762018 | 1.578192 |
| 0.763343 | 1.578151 |
| 0.76467 | 1.578111 |
| 0.765999 | 1.57807 |
| 0.767331 | 1.57803 |
| 0.768665 | 1.57799 |
| 0.770002 | 1.57795 |
| 0.771341 | 1.57791 |
| 0.772682 | 1.577871 |
| 0.774025 | 1.577831 |
| 0.775371 | 1.577792 |
| 0.776719 | 1.577753 |
| 0.77807 | 1.577714 |
| 0.779423 | 1.577675 |
| 0.780778 | 1.577636 |
| 0.782135 | 1.577598 |
| 0.783495 | 1.57756 |
| 0.784858 | 1.577521 |
| 0.786222 | 1.577483 |
| 0.787589 | 1.577446 |
| 0.788959 | 1.577408 |
| 0.790331 | 1.57737 |
| 0.791705 | 1.577333 |
| 0.793081 | 1.577296 |
| 0.79446 | 1.577258 |
| 0.795842 | 1.577222 |
| 0.797225 | 1.577185 |
| 0.798611 | 1.577148 |
| 0.8 | 1.577112 |
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. Extraordinary ray (e).