Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(e) 0.4–0.8 µm; 53.4 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 326.55 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
- 1.57889
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.4929
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 38.846
- Chromatic dispersion dn/dλ
- -0.0734115 µm⁻¹
- Group index ng
- 1.62203
- Group velocity dispersion
- 164.124 fs²/mm
- Dispersion parameter D
- -895.385 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; 53.4 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-53.4C-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_4e1fffc04492/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-1993-53-4c-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 | 0.4429 |
| C2 | 1.6101 |
| C3 | 25.0 |
| C4 | 0.9606 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 326.55 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 | 1.609783 |
| 0.400695 | 1.609536 |
| 0.401392 | 1.60929 |
| 0.40209 | 1.609047 |
| 0.402789 | 1.608804 |
| 0.40349 | 1.608564 |
| 0.404191 | 1.608325 |
| 0.404894 | 1.608087 |
| 0.405598 | 1.607851 |
| 0.406303 | 1.607617 |
| 0.40701 | 1.607384 |
| 0.407717 | 1.607152 |
| 0.408426 | 1.606923 |
| 0.409136 | 1.606694 |
| 0.409848 | 1.606467 |
| 0.41056 | 1.606241 |
| 0.411274 | 1.606017 |
| 0.411989 | 1.605795 |
| 0.412706 | 1.605573 |
| 0.413423 | 1.605353 |
| 0.414142 | 1.605135 |
| 0.414862 | 1.604918 |
| 0.415583 | 1.604702 |
| 0.416306 | 1.604487 |
| 0.41703 | 1.604274 |
| 0.417755 | 1.604062 |
| 0.418481 | 1.603852 |
| 0.419209 | 1.603643 |
| 0.419938 | 1.603435 |
| 0.420668 | 1.603228 |
| 0.421399 | 1.603023 |
| 0.422132 | 1.602819 |
| 0.422866 | 1.602616 |
| 0.423601 | 1.602414 |
| 0.424338 | 1.602214 |
| 0.425076 | 1.602015 |
| 0.425815 | 1.601817 |
| 0.426555 | 1.60162 |
| 0.427297 | 1.601425 |
| 0.42804 | 1.60123 |
| 0.428784 | 1.601037 |
| 0.429529 | 1.600845 |
| 0.430276 | 1.600654 |
| 0.431024 | 1.600464 |
| 0.431774 | 1.600276 |
| 0.432525 | 1.600088 |
| 0.433277 | 1.599902 |
| 0.43403 | 1.599716 |
| 0.434785 | 1.599532 |
| 0.435541 | 1.599349 |
| 0.436298 | 1.599167 |
| 0.437056 | 1.598986 |
| 0.437816 | 1.598806 |
| 0.438578 | 1.598628 |
| 0.43934 | 1.59845 |
| 0.440104 | 1.598273 |
| 0.440869 | 1.598097 |
| 0.441636 | 1.597923 |
| 0.442404 | 1.597749 |
| 0.443173 | 1.597576 |
| 0.443943 | 1.597405 |
| 0.444715 | 1.597234 |
| 0.445489 | 1.597064 |
| 0.446263 | 1.596895 |
| 0.447039 | 1.596728 |
| 0.447816 | 1.596561 |
| 0.448595 | 1.596395 |
| 0.449375 | 1.59623 |
| 0.450156 | 1.596066 |
| 0.450939 | 1.595903 |
| 0.451723 | 1.595741 |
| 0.452508 | 1.59558 |
| 0.453295 | 1.59542 |
| 0.454083 | 1.59526 |
| 0.454873 | 1.595102 |
| 0.455664 | 1.594944 |
| 0.456456 | 1.594788 |
| 0.45725 | 1.594632 |
| 0.458045 | 1.594477 |
| 0.458841 | 1.594323 |
| 0.459639 | 1.59417 |
| 0.460438 | 1.594017 |
| 0.461239 | 1.593866 |
| 0.462041 | 1.593715 |
| 0.462844 | 1.593565 |
| 0.463649 | 1.593416 |
| 0.464455 | 1.593268 |
| 0.465263 | 1.593121 |
| 0.466072 | 1.592974 |
| 0.466882 | 1.592828 |
| 0.467694 | 1.592683 |
| 0.468507 | 1.592539 |
| 0.469321 | 1.592396 |
| 0.470137 | 1.592253 |
| 0.470955 | 1.592111 |
| 0.471774 | 1.59197 |
| 0.472594 | 1.59183 |
| 0.473416 | 1.591691 |
| 0.474239 | 1.591552 |
| 0.475063 | 1.591414 |
| 0.475889 | 1.591276 |
| 0.476717 | 1.59114 |
| 0.477546 | 1.591004 |
| 0.478376 | 1.590869 |
| 0.479208 | 1.590735 |
| 0.480041 | 1.590601 |
| 0.480876 | 1.590468 |
| 0.481712 | 1.590336 |
| 0.482549 | 1.590204 |
| 0.483388 | 1.590074 |
| 0.484229 | 1.589944 |
| 0.485071 | 1.589814 |
| 0.485914 | 1.589685 |
| 0.486759 | 1.589557 |
| 0.487605 | 1.58943 |
| 0.488453 | 1.589303 |
| 0.489303 | 1.589177 |
| 0.490153 | 1.589052 |
| 0.491006 | 1.588927 |
| 0.491859 | 1.588803 |
| 0.492714 | 1.58868 |
| 0.493571 | 1.588557 |
| 0.494429 | 1.588435 |
| 0.495289 | 1.588313 |
| 0.49615 | 1.588192 |
| 0.497013 | 1.588072 |
| 0.497877 | 1.587952 |
| 0.498743 | 1.587833 |
| 0.49961 | 1.587715 |
| 0.500479 | 1.587597 |
| 0.501349 | 1.58748 |
| 0.50222 | 1.587363 |
| 0.503094 | 1.587247 |
| 0.503968 | 1.587132 |
| 0.504845 | 1.587017 |
| 0.505722 | 1.586903 |
| 0.506602 | 1.586789 |
| 0.507483 | 1.586676 |
| 0.508365 | 1.586564 |
| 0.509249 | 1.586452 |
| 0.510134 | 1.586341 |
| 0.511021 | 1.58623 |
| 0.51191 | 1.58612 |
| 0.5128 | 1.58601 |
| 0.513692 | 1.585901 |
| 0.514585 | 1.585792 |
| 0.515479 | 1.585684 |
| 0.516376 | 1.585577 |
| 0.517274 | 1.58547 |
| 0.518173 | 1.585364 |
| 0.519074 | 1.585258 |
| 0.519976 | 1.585152 |
| 0.52088 | 1.585048 |
| 0.521786 | 1.584943 |
| 0.522693 | 1.58484 |
| 0.523602 | 1.584736 |
| 0.524513 | 1.584634 |
| 0.525425 | 1.584531 |
| 0.526338 | 1.58443 |
| 0.527253 | 1.584329 |
| 0.52817 | 1.584228 |
| 0.529088 | 1.584128 |
| 0.530008 | 1.584028 |
| 0.53093 | 1.583929 |
| 0.531853 | 1.58383 |
| 0.532778 | 1.583732 |
| 0.533704 | 1.583634 |
| 0.534632 | 1.583537 |
| 0.535562 | 1.58344 |
| 0.536493 | 1.583344 |
| 0.537426 | 1.583248 |
| 0.53836 | 1.583152 |
| 0.539296 | 1.583057 |
| 0.540234 | 1.582963 |
| 0.541173 | 1.582869 |
| 0.542114 | 1.582775 |
| 0.543057 | 1.582682 |
| 0.544001 | 1.58259 |
| 0.544947 | 1.582497 |
| 0.545894 | 1.582406 |
| 0.546843 | 1.582314 |
| 0.547794 | 1.582223 |
| 0.548747 | 1.582133 |
| 0.549701 | 1.582043 |
| 0.550657 | 1.581953 |
| 0.551614 | 1.581864 |
| 0.552573 | 1.581776 |
| 0.553534 | 1.581687 |
| 0.554496 | 1.581599 |
| 0.55546 | 1.581512 |
| 0.556426 | 1.581425 |
| 0.557394 | 1.581338 |
| 0.558363 | 1.581252 |
| 0.559334 | 1.581166 |
| 0.560306 | 1.581081 |
| 0.56128 | 1.580996 |
| 0.562256 | 1.580911 |
| 0.563234 | 1.580827 |
| 0.564213 | 1.580743 |
| 0.565194 | 1.58066 |
| 0.566177 | 1.580577 |
| 0.567161 | 1.580494 |
| 0.568148 | 1.580412 |
| 0.569135 | 1.58033 |
| 0.570125 | 1.580249 |
| 0.571116 | 1.580168 |
| 0.572109 | 1.580087 |
| 0.573104 | 1.580007 |
| 0.5741 | 1.579927 |
| 0.575099 | 1.579847 |
| 0.576099 | 1.579768 |
| 0.5771 | 1.579689 |
| 0.578104 | 1.579611 |
| 0.579109 | 1.579533 |
| 0.580116 | 1.579455 |
| 0.581124 | 1.579378 |
| 0.582135 | 1.579301 |
| 0.583147 | 1.579224 |
| 0.584161 | 1.579148 |
| 0.585177 | 1.579072 |
| 0.586194 | 1.578996 |
| 0.587213 | 1.578921 |
| 0.588234 | 1.578846 |
| 0.589257 | 1.578772 |
| 0.590282 | 1.578697 |
| 0.591308 | 1.578624 |
| 0.592336 | 1.57855 |
| 0.593366 | 1.578477 |
| 0.594398 | 1.578404 |
| 0.595431 | 1.578331 |
| 0.596466 | 1.578259 |
| 0.597504 | 1.578187 |
| 0.598542 | 1.578116 |
| 0.599583 | 1.578045 |
| 0.600626 | 1.577974 |
| 0.60167 | 1.577903 |
| 0.602716 | 1.577833 |
| 0.603764 | 1.577763 |
| 0.604814 | 1.577693 |
| 0.605865 | 1.577624 |
| 0.606919 | 1.577555 |
| 0.607974 | 1.577487 |
| 0.609031 | 1.577418 |
| 0.61009 | 1.57735 |
| 0.611151 | 1.577282 |
| 0.612214 | 1.577215 |
| 0.613278 | 1.577148 |
| 0.614344 | 1.577081 |
| 0.615413 | 1.577014 |
| 0.616483 | 1.576948 |
| 0.617554 | 1.576882 |
| 0.618628 | 1.576817 |
| 0.619704 | 1.576751 |
| 0.620781 | 1.576686 |
| 0.621861 | 1.576621 |
| 0.622942 | 1.576557 |
| 0.624025 | 1.576493 |
| 0.62511 | 1.576429 |
| 0.626197 | 1.576365 |
| 0.627286 | 1.576302 |
| 0.628376 | 1.576239 |
| 0.629469 | 1.576176 |
| 0.630563 | 1.576114 |
| 0.63166 | 1.576051 |
| 0.632758 | 1.57599 |
| 0.633858 | 1.575928 |
| 0.63496 | 1.575866 |
| 0.636064 | 1.575805 |
| 0.63717 | 1.575744 |
| 0.638278 | 1.575684 |
| 0.639388 | 1.575624 |
| 0.6405 | 1.575564 |
| 0.641613 | 1.575504 |
| 0.642729 | 1.575444 |
| 0.643847 | 1.575385 |
| 0.644966 | 1.575326 |
| 0.646087 | 1.575267 |
| 0.647211 | 1.575209 |
| 0.648336 | 1.57515 |
| 0.649463 | 1.575093 |
| 0.650593 | 1.575035 |
| 0.651724 | 1.574977 |
| 0.652857 | 1.57492 |
| 0.653992 | 1.574863 |
| 0.655129 | 1.574806 |
| 0.656268 | 1.57475 |
| 0.657409 | 1.574694 |
| 0.658552 | 1.574638 |
| 0.659697 | 1.574582 |
| 0.660844 | 1.574526 |
| 0.661993 | 1.574471 |
| 0.663145 | 1.574416 |
| 0.664298 | 1.574361 |
| 0.665453 | 1.574307 |
| 0.66661 | 1.574253 |
| 0.667769 | 1.574198 |
| 0.66893 | 1.574145 |
| 0.670093 | 1.574091 |
| 0.671258 | 1.574038 |
| 0.672425 | 1.573984 |
| 0.673594 | 1.573932 |
| 0.674765 | 1.573879 |
| 0.675939 | 1.573826 |
| 0.677114 | 1.573774 |
| 0.678291 | 1.573722 |
| 0.679471 | 1.57367 |
| 0.680652 | 1.573619 |
| 0.681835 | 1.573567 |
| 0.683021 | 1.573516 |
| 0.684209 | 1.573465 |
| 0.685398 | 1.573415 |
| 0.68659 | 1.573364 |
| 0.687784 | 1.573314 |
| 0.68898 | 1.573264 |
| 0.690177 | 1.573214 |
| 0.691378 | 1.573164 |
| 0.69258 | 1.573115 |
| 0.693784 | 1.573066 |
| 0.69499 | 1.573017 |
| 0.696199 | 1.572968 |
| 0.697409 | 1.572919 |
| 0.698622 | 1.572871 |
| 0.699836 | 1.572823 |
| 0.701053 | 1.572775 |
| 0.702272 | 1.572727 |
| 0.703493 | 1.57268 |
| 0.704716 | 1.572632 |
| 0.705942 | 1.572585 |
| 0.707169 | 1.572538 |
| 0.708399 | 1.572491 |
| 0.70963 | 1.572445 |
| 0.710864 | 1.572398 |
| 0.7121 | 1.572352 |
| 0.713338 | 1.572306 |
| 0.714579 | 1.57226 |
| 0.715821 | 1.572215 |
| 0.717066 | 1.572169 |
| 0.718312 | 1.572124 |
| 0.719561 | 1.572079 |
| 0.720813 | 1.572034 |
| 0.722066 | 1.57199 |
| 0.723321 | 1.571945 |
| 0.724579 | 1.571901 |
| 0.725839 | 1.571857 |
| 0.727101 | 1.571813 |
| 0.728365 | 1.571769 |
| 0.729631 | 1.571726 |
| 0.7309 | 1.571682 |
| 0.732171 | 1.571639 |
| 0.733444 | 1.571596 |
| 0.734719 | 1.571553 |
| 0.735997 | 1.571511 |
| 0.737276 | 1.571468 |
| 0.738558 | 1.571426 |
| 0.739842 | 1.571384 |
| 0.741129 | 1.571342 |
| 0.742417 | 1.5713 |
| 0.743708 | 1.571258 |
| 0.745001 | 1.571217 |
| 0.746297 | 1.571176 |
| 0.747594 | 1.571135 |
| 0.748894 | 1.571094 |
| 0.750196 | 1.571053 |
| 0.751501 | 1.571012 |
| 0.752807 | 1.570972 |
| 0.754116 | 1.570932 |
| 0.755427 | 1.570892 |
| 0.756741 | 1.570852 |
| 0.758057 | 1.570812 |
| 0.759375 | 1.570772 |
| 0.760695 | 1.570733 |
| 0.762018 | 1.570694 |
| 0.763343 | 1.570654 |
| 0.76467 | 1.570616 |
| 0.765999 | 1.570577 |
| 0.767331 | 1.570538 |
| 0.768665 | 1.5705 |
| 0.770002 | 1.570461 |
| 0.771341 | 1.570423 |
| 0.772682 | 1.570385 |
| 0.774025 | 1.570347 |
| 0.775371 | 1.57031 |
| 0.776719 | 1.570272 |
| 0.77807 | 1.570235 |
| 0.779423 | 1.570197 |
| 0.780778 | 1.57016 |
| 0.782135 | 1.570123 |
| 0.783495 | 1.570087 |
| 0.784858 | 1.57005 |
| 0.786222 | 1.570014 |
| 0.787589 | 1.569977 |
| 0.788959 | 1.569941 |
| 0.790331 | 1.569905 |
| 0.791705 | 1.569869 |
| 0.793081 | 1.569833 |
| 0.79446 | 1.569798 |
| 0.795842 | 1.569762 |
| 0.797225 | 1.569727 |
| 0.798611 | 1.569692 |
| 0.8 | 1.569657 |
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
- —
53.4 °C. Extraordinary ray (e).