Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(e) 0.4–0.8 µm; 40.1 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 313.25 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
- 1.60136
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.56435
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 36.786
- Chromatic dispersion dn/dλ
- -0.0805086 µm⁻¹
- Group index ng
- 1.64867
- Group velocity dispersion
- 180.174 fs²/mm
- Dispersion parameter D
- -982.944 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; 40.1 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-40.1C-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_0703bf68c4f4/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-1993-40-1c-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 | 0.4531 |
| C2 | 1.7034 |
| C3 | 25.0 |
| C4 | 1.083 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 313.25 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 | 1.635281 |
| 0.400695 | 1.635009 |
| 0.401392 | 1.63474 |
| 0.40209 | 1.634472 |
| 0.402789 | 1.634205 |
| 0.40349 | 1.633941 |
| 0.404191 | 1.633678 |
| 0.404894 | 1.633417 |
| 0.405598 | 1.633158 |
| 0.406303 | 1.6329 |
| 0.40701 | 1.632644 |
| 0.407717 | 1.632389 |
| 0.408426 | 1.632137 |
| 0.409136 | 1.631885 |
| 0.409848 | 1.631636 |
| 0.41056 | 1.631388 |
| 0.411274 | 1.631142 |
| 0.411989 | 1.630897 |
| 0.412706 | 1.630653 |
| 0.413423 | 1.630412 |
| 0.414142 | 1.630172 |
| 0.414862 | 1.629933 |
| 0.415583 | 1.629696 |
| 0.416306 | 1.62946 |
| 0.41703 | 1.629226 |
| 0.417755 | 1.628993 |
| 0.418481 | 1.628762 |
| 0.419209 | 1.628532 |
| 0.419938 | 1.628303 |
| 0.420668 | 1.628076 |
| 0.421399 | 1.62785 |
| 0.422132 | 1.627626 |
| 0.422866 | 1.627403 |
| 0.423601 | 1.627182 |
| 0.424338 | 1.626962 |
| 0.425076 | 1.626743 |
| 0.425815 | 1.626525 |
| 0.426555 | 1.626309 |
| 0.427297 | 1.626094 |
| 0.42804 | 1.625881 |
| 0.428784 | 1.625668 |
| 0.429529 | 1.625457 |
| 0.430276 | 1.625248 |
| 0.431024 | 1.625039 |
| 0.431774 | 1.624832 |
| 0.432525 | 1.624626 |
| 0.433277 | 1.624421 |
| 0.43403 | 1.624217 |
| 0.434785 | 1.624015 |
| 0.435541 | 1.623814 |
| 0.436298 | 1.623614 |
| 0.437056 | 1.623415 |
| 0.437816 | 1.623218 |
| 0.438578 | 1.623021 |
| 0.43934 | 1.622826 |
| 0.440104 | 1.622632 |
| 0.440869 | 1.622439 |
| 0.441636 | 1.622247 |
| 0.442404 | 1.622056 |
| 0.443173 | 1.621866 |
| 0.443943 | 1.621678 |
| 0.444715 | 1.62149 |
| 0.445489 | 1.621304 |
| 0.446263 | 1.621119 |
| 0.447039 | 1.620934 |
| 0.447816 | 1.620751 |
| 0.448595 | 1.620569 |
| 0.449375 | 1.620388 |
| 0.450156 | 1.620208 |
| 0.450939 | 1.620029 |
| 0.451723 | 1.619851 |
| 0.452508 | 1.619674 |
| 0.453295 | 1.619498 |
| 0.454083 | 1.619323 |
| 0.454873 | 1.619149 |
| 0.455664 | 1.618976 |
| 0.456456 | 1.618804 |
| 0.45725 | 1.618633 |
| 0.458045 | 1.618462 |
| 0.458841 | 1.618293 |
| 0.459639 | 1.618125 |
| 0.460438 | 1.617958 |
| 0.461239 | 1.617791 |
| 0.462041 | 1.617626 |
| 0.462844 | 1.617461 |
| 0.463649 | 1.617298 |
| 0.464455 | 1.617135 |
| 0.465263 | 1.616973 |
| 0.466072 | 1.616812 |
| 0.466882 | 1.616652 |
| 0.467694 | 1.616493 |
| 0.468507 | 1.616335 |
| 0.469321 | 1.616177 |
| 0.470137 | 1.616021 |
| 0.470955 | 1.615865 |
| 0.471774 | 1.61571 |
| 0.472594 | 1.615556 |
| 0.473416 | 1.615403 |
| 0.474239 | 1.615251 |
| 0.475063 | 1.615099 |
| 0.475889 | 1.614948 |
| 0.476717 | 1.614799 |
| 0.477546 | 1.61465 |
| 0.478376 | 1.614501 |
| 0.479208 | 1.614354 |
| 0.480041 | 1.614207 |
| 0.480876 | 1.614061 |
| 0.481712 | 1.613916 |
| 0.482549 | 1.613772 |
| 0.483388 | 1.613628 |
| 0.484229 | 1.613485 |
| 0.485071 | 1.613343 |
| 0.485914 | 1.613202 |
| 0.486759 | 1.613061 |
| 0.487605 | 1.612921 |
| 0.488453 | 1.612782 |
| 0.489303 | 1.612644 |
| 0.490153 | 1.612506 |
| 0.491006 | 1.612369 |
| 0.491859 | 1.612233 |
| 0.492714 | 1.612098 |
| 0.493571 | 1.611963 |
| 0.494429 | 1.611829 |
| 0.495289 | 1.611696 |
| 0.49615 | 1.611563 |
| 0.497013 | 1.611431 |
| 0.497877 | 1.6113 |
| 0.498743 | 1.611169 |
| 0.49961 | 1.611039 |
| 0.500479 | 1.61091 |
| 0.501349 | 1.610781 |
| 0.50222 | 1.610653 |
| 0.503094 | 1.610526 |
| 0.503968 | 1.610399 |
| 0.504845 | 1.610273 |
| 0.505722 | 1.610148 |
| 0.506602 | 1.610023 |
| 0.507483 | 1.609899 |
| 0.508365 | 1.609776 |
| 0.509249 | 1.609653 |
| 0.510134 | 1.609531 |
| 0.511021 | 1.609409 |
| 0.51191 | 1.609288 |
| 0.5128 | 1.609168 |
| 0.513692 | 1.609048 |
| 0.514585 | 1.608929 |
| 0.515479 | 1.608811 |
| 0.516376 | 1.608693 |
| 0.517274 | 1.608575 |
| 0.518173 | 1.608459 |
| 0.519074 | 1.608343 |
| 0.519976 | 1.608227 |
| 0.52088 | 1.608112 |
| 0.521786 | 1.607998 |
| 0.522693 | 1.607884 |
| 0.523602 | 1.607771 |
| 0.524513 | 1.607658 |
| 0.525425 | 1.607546 |
| 0.526338 | 1.607434 |
| 0.527253 | 1.607323 |
| 0.52817 | 1.607213 |
| 0.529088 | 1.607103 |
| 0.530008 | 1.606993 |
| 0.53093 | 1.606884 |
| 0.531853 | 1.606776 |
| 0.532778 | 1.606668 |
| 0.533704 | 1.606561 |
| 0.534632 | 1.606454 |
| 0.535562 | 1.606348 |
| 0.536493 | 1.606242 |
| 0.537426 | 1.606137 |
| 0.53836 | 1.606033 |
| 0.539296 | 1.605928 |
| 0.540234 | 1.605825 |
| 0.541173 | 1.605722 |
| 0.542114 | 1.605619 |
| 0.543057 | 1.605517 |
| 0.544001 | 1.605415 |
| 0.544947 | 1.605314 |
| 0.545894 | 1.605213 |
| 0.546843 | 1.605113 |
| 0.547794 | 1.605014 |
| 0.548747 | 1.604914 |
| 0.549701 | 1.604816 |
| 0.550657 | 1.604717 |
| 0.551614 | 1.60462 |
| 0.552573 | 1.604522 |
| 0.553534 | 1.604425 |
| 0.554496 | 1.604329 |
| 0.55546 | 1.604233 |
| 0.556426 | 1.604138 |
| 0.557394 | 1.604043 |
| 0.558363 | 1.603948 |
| 0.559334 | 1.603854 |
| 0.560306 | 1.60376 |
| 0.56128 | 1.603667 |
| 0.562256 | 1.603574 |
| 0.563234 | 1.603482 |
| 0.564213 | 1.60339 |
| 0.565194 | 1.603299 |
| 0.566177 | 1.603208 |
| 0.567161 | 1.603117 |
| 0.568148 | 1.603027 |
| 0.569135 | 1.602937 |
| 0.570125 | 1.602848 |
| 0.571116 | 1.602759 |
| 0.572109 | 1.60267 |
| 0.573104 | 1.602582 |
| 0.5741 | 1.602495 |
| 0.575099 | 1.602407 |
| 0.576099 | 1.602321 |
| 0.5771 | 1.602234 |
| 0.578104 | 1.602148 |
| 0.579109 | 1.602062 |
| 0.580116 | 1.601977 |
| 0.581124 | 1.601892 |
| 0.582135 | 1.601808 |
| 0.583147 | 1.601724 |
| 0.584161 | 1.60164 |
| 0.585177 | 1.601557 |
| 0.586194 | 1.601474 |
| 0.587213 | 1.601391 |
| 0.588234 | 1.601309 |
| 0.589257 | 1.601228 |
| 0.590282 | 1.601146 |
| 0.591308 | 1.601065 |
| 0.592336 | 1.600984 |
| 0.593366 | 1.600904 |
| 0.594398 | 1.600824 |
| 0.595431 | 1.600745 |
| 0.596466 | 1.600666 |
| 0.597504 | 1.600587 |
| 0.598542 | 1.600508 |
| 0.599583 | 1.60043 |
| 0.600626 | 1.600353 |
| 0.60167 | 1.600275 |
| 0.602716 | 1.600198 |
| 0.603764 | 1.600121 |
| 0.604814 | 1.600045 |
| 0.605865 | 1.599969 |
| 0.606919 | 1.599894 |
| 0.607974 | 1.599818 |
| 0.609031 | 1.599743 |
| 0.61009 | 1.599669 |
| 0.611151 | 1.599594 |
| 0.612214 | 1.59952 |
| 0.613278 | 1.599447 |
| 0.614344 | 1.599374 |
| 0.615413 | 1.599301 |
| 0.616483 | 1.599228 |
| 0.617554 | 1.599156 |
| 0.618628 | 1.599084 |
| 0.619704 | 1.599012 |
| 0.620781 | 1.598941 |
| 0.621861 | 1.59887 |
| 0.622942 | 1.598799 |
| 0.624025 | 1.598729 |
| 0.62511 | 1.598659 |
| 0.626197 | 1.598589 |
| 0.627286 | 1.598519 |
| 0.628376 | 1.59845 |
| 0.629469 | 1.598381 |
| 0.630563 | 1.598313 |
| 0.63166 | 1.598245 |
| 0.632758 | 1.598177 |
| 0.633858 | 1.598109 |
| 0.63496 | 1.598042 |
| 0.636064 | 1.597975 |
| 0.63717 | 1.597908 |
| 0.638278 | 1.597842 |
| 0.639388 | 1.597776 |
| 0.6405 | 1.59771 |
| 0.641613 | 1.597644 |
| 0.642729 | 1.597579 |
| 0.643847 | 1.597514 |
| 0.644966 | 1.597449 |
| 0.646087 | 1.597385 |
| 0.647211 | 1.597321 |
| 0.648336 | 1.597257 |
| 0.649463 | 1.597193 |
| 0.650593 | 1.59713 |
| 0.651724 | 1.597067 |
| 0.652857 | 1.597004 |
| 0.653992 | 1.596942 |
| 0.655129 | 1.59688 |
| 0.656268 | 1.596818 |
| 0.657409 | 1.596756 |
| 0.658552 | 1.596695 |
| 0.659697 | 1.596634 |
| 0.660844 | 1.596573 |
| 0.661993 | 1.596512 |
| 0.663145 | 1.596452 |
| 0.664298 | 1.596392 |
| 0.665453 | 1.596332 |
| 0.66661 | 1.596273 |
| 0.667769 | 1.596213 |
| 0.66893 | 1.596154 |
| 0.670093 | 1.596095 |
| 0.671258 | 1.596037 |
| 0.672425 | 1.595979 |
| 0.673594 | 1.595921 |
| 0.674765 | 1.595863 |
| 0.675939 | 1.595805 |
| 0.677114 | 1.595748 |
| 0.678291 | 1.595691 |
| 0.679471 | 1.595634 |
| 0.680652 | 1.595578 |
| 0.681835 | 1.595522 |
| 0.683021 | 1.595465 |
| 0.684209 | 1.59541 |
| 0.685398 | 1.595354 |
| 0.68659 | 1.595299 |
| 0.687784 | 1.595244 |
| 0.68898 | 1.595189 |
| 0.690177 | 1.595134 |
| 0.691378 | 1.59508 |
| 0.69258 | 1.595026 |
| 0.693784 | 1.594972 |
| 0.69499 | 1.594918 |
| 0.696199 | 1.594864 |
| 0.697409 | 1.594811 |
| 0.698622 | 1.594758 |
| 0.699836 | 1.594705 |
| 0.701053 | 1.594653 |
| 0.702272 | 1.5946 |
| 0.703493 | 1.594548 |
| 0.704716 | 1.594496 |
| 0.705942 | 1.594445 |
| 0.707169 | 1.594393 |
| 0.708399 | 1.594342 |
| 0.70963 | 1.594291 |
| 0.710864 | 1.59424 |
| 0.7121 | 1.594189 |
| 0.713338 | 1.594139 |
| 0.714579 | 1.594089 |
| 0.715821 | 1.594039 |
| 0.717066 | 1.593989 |
| 0.718312 | 1.59394 |
| 0.719561 | 1.59389 |
| 0.720813 | 1.593841 |
| 0.722066 | 1.593792 |
| 0.723321 | 1.593743 |
| 0.724579 | 1.593695 |
| 0.725839 | 1.593646 |
| 0.727101 | 1.593598 |
| 0.728365 | 1.59355 |
| 0.729631 | 1.593503 |
| 0.7309 | 1.593455 |
| 0.732171 | 1.593408 |
| 0.733444 | 1.593361 |
| 0.734719 | 1.593314 |
| 0.735997 | 1.593267 |
| 0.737276 | 1.59322 |
| 0.738558 | 1.593174 |
| 0.739842 | 1.593128 |
| 0.741129 | 1.593082 |
| 0.742417 | 1.593036 |
| 0.743708 | 1.592991 |
| 0.745001 | 1.592945 |
| 0.746297 | 1.5929 |
| 0.747594 | 1.592855 |
| 0.748894 | 1.59281 |
| 0.750196 | 1.592765 |
| 0.751501 | 1.592721 |
| 0.752807 | 1.592677 |
| 0.754116 | 1.592633 |
| 0.755427 | 1.592589 |
| 0.756741 | 1.592545 |
| 0.758057 | 1.592501 |
| 0.759375 | 1.592458 |
| 0.760695 | 1.592415 |
| 0.762018 | 1.592372 |
| 0.763343 | 1.592329 |
| 0.76467 | 1.592286 |
| 0.765999 | 1.592244 |
| 0.767331 | 1.592201 |
| 0.768665 | 1.592159 |
| 0.770002 | 1.592117 |
| 0.771341 | 1.592075 |
| 0.772682 | 1.592034 |
| 0.774025 | 1.591992 |
| 0.775371 | 1.591951 |
| 0.776719 | 1.59191 |
| 0.77807 | 1.591869 |
| 0.779423 | 1.591828 |
| 0.780778 | 1.591787 |
| 0.782135 | 1.591747 |
| 0.783495 | 1.591707 |
| 0.784858 | 1.591666 |
| 0.786222 | 1.591626 |
| 0.787589 | 1.591587 |
| 0.788959 | 1.591547 |
| 0.790331 | 1.591507 |
| 0.791705 | 1.591468 |
| 0.793081 | 1.591429 |
| 0.79446 | 1.59139 |
| 0.795842 | 1.591351 |
| 0.797225 | 1.591312 |
| 0.798611 | 1.591274 |
| 0.8 | 1.591235 |
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
- —
40.1 °C. Extraordinary ray (e).