Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(o) 0.4–0.8 µm; 25.0 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 298 K
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.48905
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.21728
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 45.905
- Chromatic dispersion dn/dλ
- -0.0526036 µm⁻¹
- Group index ng
- 1.51996
- Group velocity dispersion
- 116.627 fs²/mm
- Dispersion parameter D
- -636.262 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; 25.0 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-25.0C-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_7504de3e9080/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-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 | 1.4874 |
| C3 | 25.0 |
| C4 | 0.5303 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 298 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 | 1.51095 |
| 0.400695 | 1.510777 |
| 0.401392 | 1.510605 |
| 0.40209 | 1.510434 |
| 0.402789 | 1.510264 |
| 0.40349 | 1.510095 |
| 0.404191 | 1.509927 |
| 0.404894 | 1.50976 |
| 0.405598 | 1.509595 |
| 0.406303 | 1.50943 |
| 0.40701 | 1.509267 |
| 0.407717 | 1.509104 |
| 0.408426 | 1.508942 |
| 0.409136 | 1.508782 |
| 0.409848 | 1.508622 |
| 0.41056 | 1.508464 |
| 0.411274 | 1.508306 |
| 0.411989 | 1.50815 |
| 0.412706 | 1.507994 |
| 0.413423 | 1.507839 |
| 0.414142 | 1.507685 |
| 0.414862 | 1.507533 |
| 0.415583 | 1.507381 |
| 0.416306 | 1.50723 |
| 0.41703 | 1.50708 |
| 0.417755 | 1.506931 |
| 0.418481 | 1.506783 |
| 0.419209 | 1.506635 |
| 0.419938 | 1.506489 |
| 0.420668 | 1.506343 |
| 0.421399 | 1.506199 |
| 0.422132 | 1.506055 |
| 0.422866 | 1.505912 |
| 0.423601 | 1.50577 |
| 0.424338 | 1.505629 |
| 0.425076 | 1.505488 |
| 0.425815 | 1.505349 |
| 0.426555 | 1.50521 |
| 0.427297 | 1.505072 |
| 0.42804 | 1.504935 |
| 0.428784 | 1.504798 |
| 0.429529 | 1.504663 |
| 0.430276 | 1.504528 |
| 0.431024 | 1.504394 |
| 0.431774 | 1.504261 |
| 0.432525 | 1.504129 |
| 0.433277 | 1.503997 |
| 0.43403 | 1.503866 |
| 0.434785 | 1.503736 |
| 0.435541 | 1.503607 |
| 0.436298 | 1.503478 |
| 0.437056 | 1.503351 |
| 0.437816 | 1.503224 |
| 0.438578 | 1.503097 |
| 0.43934 | 1.502972 |
| 0.440104 | 1.502847 |
| 0.440869 | 1.502722 |
| 0.441636 | 1.502599 |
| 0.442404 | 1.502476 |
| 0.443173 | 1.502354 |
| 0.443943 | 1.502233 |
| 0.444715 | 1.502112 |
| 0.445489 | 1.501992 |
| 0.446263 | 1.501872 |
| 0.447039 | 1.501754 |
| 0.447816 | 1.501636 |
| 0.448595 | 1.501518 |
| 0.449375 | 1.501402 |
| 0.450156 | 1.501286 |
| 0.450939 | 1.50117 |
| 0.451723 | 1.501055 |
| 0.452508 | 1.500941 |
| 0.453295 | 1.500828 |
| 0.454083 | 1.500715 |
| 0.454873 | 1.500603 |
| 0.455664 | 1.500491 |
| 0.456456 | 1.50038 |
| 0.45725 | 1.500269 |
| 0.458045 | 1.50016 |
| 0.458841 | 1.50005 |
| 0.459639 | 1.499942 |
| 0.460438 | 1.499834 |
| 0.461239 | 1.499726 |
| 0.462041 | 1.49962 |
| 0.462844 | 1.499513 |
| 0.463649 | 1.499408 |
| 0.464455 | 1.499303 |
| 0.465263 | 1.499198 |
| 0.466072 | 1.499094 |
| 0.466882 | 1.498991 |
| 0.467694 | 1.498888 |
| 0.468507 | 1.498785 |
| 0.469321 | 1.498684 |
| 0.470137 | 1.498582 |
| 0.470955 | 1.498482 |
| 0.471774 | 1.498382 |
| 0.472594 | 1.498282 |
| 0.473416 | 1.498183 |
| 0.474239 | 1.498084 |
| 0.475063 | 1.497986 |
| 0.475889 | 1.497889 |
| 0.476717 | 1.497792 |
| 0.477546 | 1.497695 |
| 0.478376 | 1.497599 |
| 0.479208 | 1.497504 |
| 0.480041 | 1.497409 |
| 0.480876 | 1.497314 |
| 0.481712 | 1.497221 |
| 0.482549 | 1.497127 |
| 0.483388 | 1.497034 |
| 0.484229 | 1.496942 |
| 0.485071 | 1.49685 |
| 0.485914 | 1.496758 |
| 0.486759 | 1.496667 |
| 0.487605 | 1.496576 |
| 0.488453 | 1.496486 |
| 0.489303 | 1.496396 |
| 0.490153 | 1.496307 |
| 0.491006 | 1.496219 |
| 0.491859 | 1.49613 |
| 0.492714 | 1.496042 |
| 0.493571 | 1.495955 |
| 0.494429 | 1.495868 |
| 0.495289 | 1.495782 |
| 0.49615 | 1.495696 |
| 0.497013 | 1.49561 |
| 0.497877 | 1.495525 |
| 0.498743 | 1.49544 |
| 0.49961 | 1.495356 |
| 0.500479 | 1.495272 |
| 0.501349 | 1.495188 |
| 0.50222 | 1.495105 |
| 0.503094 | 1.495023 |
| 0.503968 | 1.494941 |
| 0.504845 | 1.494859 |
| 0.505722 | 1.494777 |
| 0.506602 | 1.494696 |
| 0.507483 | 1.494616 |
| 0.508365 | 1.494536 |
| 0.509249 | 1.494456 |
| 0.510134 | 1.494377 |
| 0.511021 | 1.494298 |
| 0.51191 | 1.494219 |
| 0.5128 | 1.494141 |
| 0.513692 | 1.494063 |
| 0.514585 | 1.493986 |
| 0.515479 | 1.493909 |
| 0.516376 | 1.493832 |
| 0.517274 | 1.493756 |
| 0.518173 | 1.49368 |
| 0.519074 | 1.493604 |
| 0.519976 | 1.493529 |
| 0.52088 | 1.493455 |
| 0.521786 | 1.49338 |
| 0.522693 | 1.493306 |
| 0.523602 | 1.493232 |
| 0.524513 | 1.493159 |
| 0.525425 | 1.493086 |
| 0.526338 | 1.493014 |
| 0.527253 | 1.492941 |
| 0.52817 | 1.492869 |
| 0.529088 | 1.492798 |
| 0.530008 | 1.492727 |
| 0.53093 | 1.492656 |
| 0.531853 | 1.492585 |
| 0.532778 | 1.492515 |
| 0.533704 | 1.492445 |
| 0.534632 | 1.492376 |
| 0.535562 | 1.492307 |
| 0.536493 | 1.492238 |
| 0.537426 | 1.49217 |
| 0.53836 | 1.492101 |
| 0.539296 | 1.492034 |
| 0.540234 | 1.491966 |
| 0.541173 | 1.491899 |
| 0.542114 | 1.491832 |
| 0.543057 | 1.491766 |
| 0.544001 | 1.491699 |
| 0.544947 | 1.491633 |
| 0.545894 | 1.491568 |
| 0.546843 | 1.491503 |
| 0.547794 | 1.491438 |
| 0.548747 | 1.491373 |
| 0.549701 | 1.491309 |
| 0.550657 | 1.491245 |
| 0.551614 | 1.491181 |
| 0.552573 | 1.491117 |
| 0.553534 | 1.491054 |
| 0.554496 | 1.490991 |
| 0.55546 | 1.490929 |
| 0.556426 | 1.490867 |
| 0.557394 | 1.490805 |
| 0.558363 | 1.490743 |
| 0.559334 | 1.490682 |
| 0.560306 | 1.490621 |
| 0.56128 | 1.49056 |
| 0.562256 | 1.490499 |
| 0.563234 | 1.490439 |
| 0.564213 | 1.490379 |
| 0.565194 | 1.490319 |
| 0.566177 | 1.49026 |
| 0.567161 | 1.490201 |
| 0.568148 | 1.490142 |
| 0.569135 | 1.490083 |
| 0.570125 | 1.490025 |
| 0.571116 | 1.489967 |
| 0.572109 | 1.489909 |
| 0.573104 | 1.489852 |
| 0.5741 | 1.489795 |
| 0.575099 | 1.489738 |
| 0.576099 | 1.489681 |
| 0.5771 | 1.489624 |
| 0.578104 | 1.489568 |
| 0.579109 | 1.489512 |
| 0.580116 | 1.489457 |
| 0.581124 | 1.489401 |
| 0.582135 | 1.489346 |
| 0.583147 | 1.489291 |
| 0.584161 | 1.489237 |
| 0.585177 | 1.489182 |
| 0.586194 | 1.489128 |
| 0.587213 | 1.489074 |
| 0.588234 | 1.48902 |
| 0.589257 | 1.488967 |
| 0.590282 | 1.488914 |
| 0.591308 | 1.488861 |
| 0.592336 | 1.488808 |
| 0.593366 | 1.488756 |
| 0.594398 | 1.488703 |
| 0.595431 | 1.488651 |
| 0.596466 | 1.4886 |
| 0.597504 | 1.488548 |
| 0.598542 | 1.488497 |
| 0.599583 | 1.488446 |
| 0.600626 | 1.488395 |
| 0.60167 | 1.488344 |
| 0.602716 | 1.488294 |
| 0.603764 | 1.488244 |
| 0.604814 | 1.488194 |
| 0.605865 | 1.488144 |
| 0.606919 | 1.488095 |
| 0.607974 | 1.488046 |
| 0.609031 | 1.487997 |
| 0.61009 | 1.487948 |
| 0.611151 | 1.487899 |
| 0.612214 | 1.487851 |
| 0.613278 | 1.487803 |
| 0.614344 | 1.487755 |
| 0.615413 | 1.487707 |
| 0.616483 | 1.487659 |
| 0.617554 | 1.487612 |
| 0.618628 | 1.487565 |
| 0.619704 | 1.487518 |
| 0.620781 | 1.487471 |
| 0.621861 | 1.487425 |
| 0.622942 | 1.487379 |
| 0.624025 | 1.487333 |
| 0.62511 | 1.487287 |
| 0.626197 | 1.487241 |
| 0.627286 | 1.487196 |
| 0.628376 | 1.48715 |
| 0.629469 | 1.487105 |
| 0.630563 | 1.48706 |
| 0.63166 | 1.487016 |
| 0.632758 | 1.486971 |
| 0.633858 | 1.486927 |
| 0.63496 | 1.486883 |
| 0.636064 | 1.486839 |
| 0.63717 | 1.486795 |
| 0.638278 | 1.486752 |
| 0.639388 | 1.486708 |
| 0.6405 | 1.486665 |
| 0.641613 | 1.486622 |
| 0.642729 | 1.48658 |
| 0.643847 | 1.486537 |
| 0.644966 | 1.486495 |
| 0.646087 | 1.486452 |
| 0.647211 | 1.48641 |
| 0.648336 | 1.486369 |
| 0.649463 | 1.486327 |
| 0.650593 | 1.486286 |
| 0.651724 | 1.486244 |
| 0.652857 | 1.486203 |
| 0.653992 | 1.486162 |
| 0.655129 | 1.486121 |
| 0.656268 | 1.486081 |
| 0.657409 | 1.48604 |
| 0.658552 | 1.486 |
| 0.659697 | 1.48596 |
| 0.660844 | 1.48592 |
| 0.661993 | 1.48588 |
| 0.663145 | 1.485841 |
| 0.664298 | 1.485802 |
| 0.665453 | 1.485762 |
| 0.66661 | 1.485723 |
| 0.667769 | 1.485684 |
| 0.66893 | 1.485646 |
| 0.670093 | 1.485607 |
| 0.671258 | 1.485569 |
| 0.672425 | 1.485531 |
| 0.673594 | 1.485493 |
| 0.674765 | 1.485455 |
| 0.675939 | 1.485417 |
| 0.677114 | 1.485379 |
| 0.678291 | 1.485342 |
| 0.679471 | 1.485305 |
| 0.680652 | 1.485268 |
| 0.681835 | 1.485231 |
| 0.683021 | 1.485194 |
| 0.684209 | 1.485157 |
| 0.685398 | 1.485121 |
| 0.68659 | 1.485084 |
| 0.687784 | 1.485048 |
| 0.68898 | 1.485012 |
| 0.690177 | 1.484976 |
| 0.691378 | 1.484941 |
| 0.69258 | 1.484905 |
| 0.693784 | 1.48487 |
| 0.69499 | 1.484835 |
| 0.696199 | 1.484799 |
| 0.697409 | 1.484764 |
| 0.698622 | 1.48473 |
| 0.699836 | 1.484695 |
| 0.701053 | 1.48466 |
| 0.702272 | 1.484626 |
| 0.703493 | 1.484592 |
| 0.704716 | 1.484558 |
| 0.705942 | 1.484524 |
| 0.707169 | 1.48449 |
| 0.708399 | 1.484456 |
| 0.70963 | 1.484423 |
| 0.710864 | 1.484389 |
| 0.7121 | 1.484356 |
| 0.713338 | 1.484323 |
| 0.714579 | 1.48429 |
| 0.715821 | 1.484257 |
| 0.717066 | 1.484225 |
| 0.718312 | 1.484192 |
| 0.719561 | 1.48416 |
| 0.720813 | 1.484127 |
| 0.722066 | 1.484095 |
| 0.723321 | 1.484063 |
| 0.724579 | 1.484031 |
| 0.725839 | 1.484 |
| 0.727101 | 1.483968 |
| 0.728365 | 1.483936 |
| 0.729631 | 1.483905 |
| 0.7309 | 1.483874 |
| 0.732171 | 1.483843 |
| 0.733444 | 1.483812 |
| 0.734719 | 1.483781 |
| 0.735997 | 1.48375 |
| 0.737276 | 1.48372 |
| 0.738558 | 1.483689 |
| 0.739842 | 1.483659 |
| 0.741129 | 1.483629 |
| 0.742417 | 1.483598 |
| 0.743708 | 1.483568 |
| 0.745001 | 1.483539 |
| 0.746297 | 1.483509 |
| 0.747594 | 1.483479 |
| 0.748894 | 1.48345 |
| 0.750196 | 1.48342 |
| 0.751501 | 1.483391 |
| 0.752807 | 1.483362 |
| 0.754116 | 1.483333 |
| 0.755427 | 1.483304 |
| 0.756741 | 1.483275 |
| 0.758057 | 1.483247 |
| 0.759375 | 1.483218 |
| 0.760695 | 1.48319 |
| 0.762018 | 1.483162 |
| 0.763343 | 1.483133 |
| 0.76467 | 1.483105 |
| 0.765999 | 1.483077 |
| 0.767331 | 1.483049 |
| 0.768665 | 1.483022 |
| 0.770002 | 1.482994 |
| 0.771341 | 1.482967 |
| 0.772682 | 1.482939 |
| 0.774025 | 1.482912 |
| 0.775371 | 1.482885 |
| 0.776719 | 1.482858 |
| 0.77807 | 1.482831 |
| 0.779423 | 1.482804 |
| 0.780778 | 1.482777 |
| 0.782135 | 1.482751 |
| 0.783495 | 1.482724 |
| 0.784858 | 1.482698 |
| 0.786222 | 1.482671 |
| 0.787589 | 1.482645 |
| 0.788959 | 1.482619 |
| 0.790331 | 1.482593 |
| 0.791705 | 1.482567 |
| 0.793081 | 1.482541 |
| 0.79446 | 1.482516 |
| 0.795842 | 1.48249 |
| 0.797225 | 1.482465 |
| 0.798611 | 1.482439 |
| 0.8 | 1.482414 |
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. Ordinary ray (o).