Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(e) 0.4–0.8 µm; 25.0 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 298 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
- 1.61027
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.59297
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 35.785
- Chromatic dispersion dn/dλ
- -0.0839772 µm⁻¹
- Group index ng
- 1.65962
- Group velocity dispersion
- 188.015 fs²/mm
- Dispersion parameter D
- -1025.72 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; 25.0 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-25.0C-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_de44a3eabd29/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-1993-25-0c-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 | 0.456 |
| C2 | 1.7501 |
| C3 | 25.0 |
| C4 | 1.1423 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 298 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 | 1.645673 |
| 0.400695 | 1.645389 |
| 0.401392 | 1.645107 |
| 0.40209 | 1.644828 |
| 0.402789 | 1.64455 |
| 0.40349 | 1.644273 |
| 0.404191 | 1.643999 |
| 0.404894 | 1.643726 |
| 0.405598 | 1.643455 |
| 0.406303 | 1.643186 |
| 0.40701 | 1.642919 |
| 0.407717 | 1.642653 |
| 0.408426 | 1.642389 |
| 0.409136 | 1.642127 |
| 0.409848 | 1.641867 |
| 0.41056 | 1.641608 |
| 0.411274 | 1.641351 |
| 0.411989 | 1.641095 |
| 0.412706 | 1.640841 |
| 0.413423 | 1.640589 |
| 0.414142 | 1.640338 |
| 0.414862 | 1.640089 |
| 0.415583 | 1.639841 |
| 0.416306 | 1.639595 |
| 0.41703 | 1.63935 |
| 0.417755 | 1.639107 |
| 0.418481 | 1.638866 |
| 0.419209 | 1.638626 |
| 0.419938 | 1.638387 |
| 0.420668 | 1.63815 |
| 0.421399 | 1.637915 |
| 0.422132 | 1.63768 |
| 0.422866 | 1.637448 |
| 0.423601 | 1.637216 |
| 0.424338 | 1.636987 |
| 0.425076 | 1.636758 |
| 0.425815 | 1.636531 |
| 0.426555 | 1.636305 |
| 0.427297 | 1.636081 |
| 0.42804 | 1.635858 |
| 0.428784 | 1.635637 |
| 0.429529 | 1.635416 |
| 0.430276 | 1.635197 |
| 0.431024 | 1.63498 |
| 0.431774 | 1.634763 |
| 0.432525 | 1.634548 |
| 0.433277 | 1.634335 |
| 0.43403 | 1.634122 |
| 0.434785 | 1.633911 |
| 0.435541 | 1.633701 |
| 0.436298 | 1.633492 |
| 0.437056 | 1.633285 |
| 0.437816 | 1.633078 |
| 0.438578 | 1.632873 |
| 0.43934 | 1.63267 |
| 0.440104 | 1.632467 |
| 0.440869 | 1.632265 |
| 0.441636 | 1.632065 |
| 0.442404 | 1.631866 |
| 0.443173 | 1.631668 |
| 0.443943 | 1.631471 |
| 0.444715 | 1.631276 |
| 0.445489 | 1.631081 |
| 0.446263 | 1.630888 |
| 0.447039 | 1.630695 |
| 0.447816 | 1.630504 |
| 0.448595 | 1.630314 |
| 0.449375 | 1.630125 |
| 0.450156 | 1.629937 |
| 0.450939 | 1.62975 |
| 0.451723 | 1.629564 |
| 0.452508 | 1.62938 |
| 0.453295 | 1.629196 |
| 0.454083 | 1.629013 |
| 0.454873 | 1.628832 |
| 0.455664 | 1.628651 |
| 0.456456 | 1.628471 |
| 0.45725 | 1.628293 |
| 0.458045 | 1.628115 |
| 0.458841 | 1.627939 |
| 0.459639 | 1.627763 |
| 0.460438 | 1.627589 |
| 0.461239 | 1.627415 |
| 0.462041 | 1.627242 |
| 0.462844 | 1.627071 |
| 0.463649 | 1.6269 |
| 0.464455 | 1.62673 |
| 0.465263 | 1.626561 |
| 0.466072 | 1.626393 |
| 0.466882 | 1.626226 |
| 0.467694 | 1.62606 |
| 0.468507 | 1.625895 |
| 0.469321 | 1.625731 |
| 0.470137 | 1.625567 |
| 0.470955 | 1.625405 |
| 0.471774 | 1.625243 |
| 0.472594 | 1.625082 |
| 0.473416 | 1.624923 |
| 0.474239 | 1.624764 |
| 0.475063 | 1.624605 |
| 0.475889 | 1.624448 |
| 0.476717 | 1.624292 |
| 0.477546 | 1.624136 |
| 0.478376 | 1.623981 |
| 0.479208 | 1.623828 |
| 0.480041 | 1.623674 |
| 0.480876 | 1.623522 |
| 0.481712 | 1.623371 |
| 0.482549 | 1.62322 |
| 0.483388 | 1.62307 |
| 0.484229 | 1.622921 |
| 0.485071 | 1.622773 |
| 0.485914 | 1.622625 |
| 0.486759 | 1.622479 |
| 0.487605 | 1.622333 |
| 0.488453 | 1.622188 |
| 0.489303 | 1.622043 |
| 0.490153 | 1.6219 |
| 0.491006 | 1.621757 |
| 0.491859 | 1.621615 |
| 0.492714 | 1.621473 |
| 0.493571 | 1.621333 |
| 0.494429 | 1.621193 |
| 0.495289 | 1.621054 |
| 0.49615 | 1.620915 |
| 0.497013 | 1.620778 |
| 0.497877 | 1.620641 |
| 0.498743 | 1.620504 |
| 0.49961 | 1.620369 |
| 0.500479 | 1.620234 |
| 0.501349 | 1.6201 |
| 0.50222 | 1.619966 |
| 0.503094 | 1.619833 |
| 0.503968 | 1.619701 |
| 0.504845 | 1.61957 |
| 0.505722 | 1.619439 |
| 0.506602 | 1.619309 |
| 0.507483 | 1.61918 |
| 0.508365 | 1.619051 |
| 0.509249 | 1.618923 |
| 0.510134 | 1.618795 |
| 0.511021 | 1.618668 |
| 0.51191 | 1.618542 |
| 0.5128 | 1.618417 |
| 0.513692 | 1.618292 |
| 0.514585 | 1.618167 |
| 0.515479 | 1.618044 |
| 0.516376 | 1.617921 |
| 0.517274 | 1.617798 |
| 0.518173 | 1.617677 |
| 0.519074 | 1.617555 |
| 0.519976 | 1.617435 |
| 0.52088 | 1.617315 |
| 0.521786 | 1.617196 |
| 0.522693 | 1.617077 |
| 0.523602 | 1.616959 |
| 0.524513 | 1.616841 |
| 0.525425 | 1.616724 |
| 0.526338 | 1.616608 |
| 0.527253 | 1.616492 |
| 0.52817 | 1.616376 |
| 0.529088 | 1.616262 |
| 0.530008 | 1.616148 |
| 0.53093 | 1.616034 |
| 0.531853 | 1.615921 |
| 0.532778 | 1.615809 |
| 0.533704 | 1.615697 |
| 0.534632 | 1.615585 |
| 0.535562 | 1.615475 |
| 0.536493 | 1.615364 |
| 0.537426 | 1.615255 |
| 0.53836 | 1.615145 |
| 0.539296 | 1.615037 |
| 0.540234 | 1.614929 |
| 0.541173 | 1.614821 |
| 0.542114 | 1.614714 |
| 0.543057 | 1.614607 |
| 0.544001 | 1.614501 |
| 0.544947 | 1.614396 |
| 0.545894 | 1.614291 |
| 0.546843 | 1.614186 |
| 0.547794 | 1.614082 |
| 0.548747 | 1.613979 |
| 0.549701 | 1.613876 |
| 0.550657 | 1.613773 |
| 0.551614 | 1.613671 |
| 0.552573 | 1.61357 |
| 0.553534 | 1.613469 |
| 0.554496 | 1.613368 |
| 0.55546 | 1.613268 |
| 0.556426 | 1.613169 |
| 0.557394 | 1.61307 |
| 0.558363 | 1.612971 |
| 0.559334 | 1.612873 |
| 0.560306 | 1.612775 |
| 0.56128 | 1.612678 |
| 0.562256 | 1.612581 |
| 0.563234 | 1.612485 |
| 0.564213 | 1.612389 |
| 0.565194 | 1.612293 |
| 0.566177 | 1.612198 |
| 0.567161 | 1.612104 |
| 0.568148 | 1.61201 |
| 0.569135 | 1.611916 |
| 0.570125 | 1.611823 |
| 0.571116 | 1.61173 |
| 0.572109 | 1.611638 |
| 0.573104 | 1.611546 |
| 0.5741 | 1.611455 |
| 0.575099 | 1.611364 |
| 0.576099 | 1.611273 |
| 0.5771 | 1.611183 |
| 0.578104 | 1.611093 |
| 0.579109 | 1.611004 |
| 0.580116 | 1.610915 |
| 0.581124 | 1.610826 |
| 0.582135 | 1.610738 |
| 0.583147 | 1.610651 |
| 0.584161 | 1.610563 |
| 0.585177 | 1.610476 |
| 0.586194 | 1.61039 |
| 0.587213 | 1.610304 |
| 0.588234 | 1.610218 |
| 0.589257 | 1.610133 |
| 0.590282 | 1.610048 |
| 0.591308 | 1.609964 |
| 0.592336 | 1.609879 |
| 0.593366 | 1.609796 |
| 0.594398 | 1.609712 |
| 0.595431 | 1.609629 |
| 0.596466 | 1.609547 |
| 0.597504 | 1.609465 |
| 0.598542 | 1.609383 |
| 0.599583 | 1.609301 |
| 0.600626 | 1.60922 |
| 0.60167 | 1.60914 |
| 0.602716 | 1.609059 |
| 0.603764 | 1.608979 |
| 0.604814 | 1.6089 |
| 0.605865 | 1.60882 |
| 0.606919 | 1.608742 |
| 0.607974 | 1.608663 |
| 0.609031 | 1.608585 |
| 0.61009 | 1.608507 |
| 0.611151 | 1.60843 |
| 0.612214 | 1.608352 |
| 0.613278 | 1.608276 |
| 0.614344 | 1.608199 |
| 0.615413 | 1.608123 |
| 0.616483 | 1.608047 |
| 0.617554 | 1.607972 |
| 0.618628 | 1.607897 |
| 0.619704 | 1.607822 |
| 0.620781 | 1.607748 |
| 0.621861 | 1.607674 |
| 0.622942 | 1.6076 |
| 0.624025 | 1.607527 |
| 0.62511 | 1.607453 |
| 0.626197 | 1.607381 |
| 0.627286 | 1.607308 |
| 0.628376 | 1.607236 |
| 0.629469 | 1.607164 |
| 0.630563 | 1.607093 |
| 0.63166 | 1.607022 |
| 0.632758 | 1.606951 |
| 0.633858 | 1.60688 |
| 0.63496 | 1.60681 |
| 0.636064 | 1.60674 |
| 0.63717 | 1.606671 |
| 0.638278 | 1.606602 |
| 0.639388 | 1.606533 |
| 0.6405 | 1.606464 |
| 0.641613 | 1.606396 |
| 0.642729 | 1.606327 |
| 0.643847 | 1.60626 |
| 0.644966 | 1.606192 |
| 0.646087 | 1.606125 |
| 0.647211 | 1.606058 |
| 0.648336 | 1.605992 |
| 0.649463 | 1.605925 |
| 0.650593 | 1.605859 |
| 0.651724 | 1.605794 |
| 0.652857 | 1.605728 |
| 0.653992 | 1.605663 |
| 0.655129 | 1.605598 |
| 0.656268 | 1.605534 |
| 0.657409 | 1.605469 |
| 0.658552 | 1.605405 |
| 0.659697 | 1.605342 |
| 0.660844 | 1.605278 |
| 0.661993 | 1.605215 |
| 0.663145 | 1.605152 |
| 0.664298 | 1.605089 |
| 0.665453 | 1.605027 |
| 0.66661 | 1.604965 |
| 0.667769 | 1.604903 |
| 0.66893 | 1.604842 |
| 0.670093 | 1.60478 |
| 0.671258 | 1.604719 |
| 0.672425 | 1.604658 |
| 0.673594 | 1.604598 |
| 0.674765 | 1.604538 |
| 0.675939 | 1.604478 |
| 0.677114 | 1.604418 |
| 0.678291 | 1.604359 |
| 0.679471 | 1.604299 |
| 0.680652 | 1.60424 |
| 0.681835 | 1.604182 |
| 0.683021 | 1.604123 |
| 0.684209 | 1.604065 |
| 0.685398 | 1.604007 |
| 0.68659 | 1.603949 |
| 0.687784 | 1.603892 |
| 0.68898 | 1.603835 |
| 0.690177 | 1.603778 |
| 0.691378 | 1.603721 |
| 0.69258 | 1.603664 |
| 0.693784 | 1.603608 |
| 0.69499 | 1.603552 |
| 0.696199 | 1.603496 |
| 0.697409 | 1.603441 |
| 0.698622 | 1.603386 |
| 0.699836 | 1.603331 |
| 0.701053 | 1.603276 |
| 0.702272 | 1.603221 |
| 0.703493 | 1.603167 |
| 0.704716 | 1.603113 |
| 0.705942 | 1.603059 |
| 0.707169 | 1.603005 |
| 0.708399 | 1.602952 |
| 0.70963 | 1.602898 |
| 0.710864 | 1.602845 |
| 0.7121 | 1.602792 |
| 0.713338 | 1.60274 |
| 0.714579 | 1.602688 |
| 0.715821 | 1.602635 |
| 0.717066 | 1.602584 |
| 0.718312 | 1.602532 |
| 0.719561 | 1.60248 |
| 0.720813 | 1.602429 |
| 0.722066 | 1.602378 |
| 0.723321 | 1.602327 |
| 0.724579 | 1.602277 |
| 0.725839 | 1.602226 |
| 0.727101 | 1.602176 |
| 0.728365 | 1.602126 |
| 0.729631 | 1.602076 |
| 0.7309 | 1.602027 |
| 0.732171 | 1.601977 |
| 0.733444 | 1.601928 |
| 0.734719 | 1.601879 |
| 0.735997 | 1.601831 |
| 0.737276 | 1.601782 |
| 0.738558 | 1.601734 |
| 0.739842 | 1.601686 |
| 0.741129 | 1.601638 |
| 0.742417 | 1.60159 |
| 0.743708 | 1.601542 |
| 0.745001 | 1.601495 |
| 0.746297 | 1.601448 |
| 0.747594 | 1.601401 |
| 0.748894 | 1.601354 |
| 0.750196 | 1.601307 |
| 0.751501 | 1.601261 |
| 0.752807 | 1.601215 |
| 0.754116 | 1.601169 |
| 0.755427 | 1.601123 |
| 0.756741 | 1.601078 |
| 0.758057 | 1.601032 |
| 0.759375 | 1.600987 |
| 0.760695 | 1.600942 |
| 0.762018 | 1.600897 |
| 0.763343 | 1.600852 |
| 0.76467 | 1.600808 |
| 0.765999 | 1.600763 |
| 0.767331 | 1.600719 |
| 0.768665 | 1.600675 |
| 0.770002 | 1.600631 |
| 0.771341 | 1.600588 |
| 0.772682 | 1.600544 |
| 0.774025 | 1.600501 |
| 0.775371 | 1.600458 |
| 0.776719 | 1.600415 |
| 0.77807 | 1.600373 |
| 0.779423 | 1.60033 |
| 0.780778 | 1.600288 |
| 0.782135 | 1.600245 |
| 0.783495 | 1.600203 |
| 0.784858 | 1.600161 |
| 0.786222 | 1.60012 |
| 0.787589 | 1.600078 |
| 0.788959 | 1.600037 |
| 0.790331 | 1.599996 |
| 0.791705 | 1.599955 |
| 0.793081 | 1.599914 |
| 0.79446 | 1.599873 |
| 0.795842 | 1.599833 |
| 0.797225 | 1.599792 |
| 0.798611 | 1.599752 |
| 0.8 | 1.599712 |
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
- —
25.0 °C. Extraordinary ray (e).