Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(o) 0.4–0.8 µm; 40.1 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 313.25 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
- 1.4888
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.21651
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 45.681
- Chromatic dispersion dn/dλ
- -0.0528329 µm⁻¹
- Group index ng
- 1.51984
- Group velocity dispersion
- 117.136 fs²/mm
- Dispersion parameter D
- -639.039 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; 40.1 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-40.1C-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_ab5f1ea50942/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-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 | 0.3862 |
| C2 | 1.4937 |
| C3 | 25.0 |
| C4 | 0.5327 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 313.25 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 | 1.510788 |
| 0.400695 | 1.510614 |
| 0.401392 | 1.510442 |
| 0.40209 | 1.51027 |
| 0.402789 | 1.510099 |
| 0.40349 | 1.50993 |
| 0.404191 | 1.509761 |
| 0.404894 | 1.509594 |
| 0.405598 | 1.509427 |
| 0.406303 | 1.509262 |
| 0.40701 | 1.509098 |
| 0.407717 | 1.508934 |
| 0.408426 | 1.508772 |
| 0.409136 | 1.508611 |
| 0.409848 | 1.508451 |
| 0.41056 | 1.508291 |
| 0.411274 | 1.508133 |
| 0.411989 | 1.507976 |
| 0.412706 | 1.507819 |
| 0.413423 | 1.507664 |
| 0.414142 | 1.50751 |
| 0.414862 | 1.507356 |
| 0.415583 | 1.507204 |
| 0.416306 | 1.507052 |
| 0.41703 | 1.506901 |
| 0.417755 | 1.506752 |
| 0.418481 | 1.506603 |
| 0.419209 | 1.506455 |
| 0.419938 | 1.506308 |
| 0.420668 | 1.506162 |
| 0.421399 | 1.506016 |
| 0.422132 | 1.505872 |
| 0.422866 | 1.505728 |
| 0.423601 | 1.505586 |
| 0.424338 | 1.505444 |
| 0.425076 | 1.505303 |
| 0.425815 | 1.505162 |
| 0.426555 | 1.505023 |
| 0.427297 | 1.504885 |
| 0.42804 | 1.504747 |
| 0.428784 | 1.50461 |
| 0.429529 | 1.504474 |
| 0.430276 | 1.504339 |
| 0.431024 | 1.504204 |
| 0.431774 | 1.50407 |
| 0.432525 | 1.503937 |
| 0.433277 | 1.503805 |
| 0.43403 | 1.503674 |
| 0.434785 | 1.503543 |
| 0.435541 | 1.503413 |
| 0.436298 | 1.503284 |
| 0.437056 | 1.503156 |
| 0.437816 | 1.503028 |
| 0.438578 | 1.502901 |
| 0.43934 | 1.502775 |
| 0.440104 | 1.50265 |
| 0.440869 | 1.502525 |
| 0.441636 | 1.502401 |
| 0.442404 | 1.502277 |
| 0.443173 | 1.502155 |
| 0.443943 | 1.502033 |
| 0.444715 | 1.501912 |
| 0.445489 | 1.501791 |
| 0.446263 | 1.501671 |
| 0.447039 | 1.501552 |
| 0.447816 | 1.501433 |
| 0.448595 | 1.501315 |
| 0.449375 | 1.501198 |
| 0.450156 | 1.501082 |
| 0.450939 | 1.500966 |
| 0.451723 | 1.50085 |
| 0.452508 | 1.500736 |
| 0.453295 | 1.500622 |
| 0.454083 | 1.500508 |
| 0.454873 | 1.500396 |
| 0.455664 | 1.500284 |
| 0.456456 | 1.500172 |
| 0.45725 | 1.500061 |
| 0.458045 | 1.499951 |
| 0.458841 | 1.499841 |
| 0.459639 | 1.499732 |
| 0.460438 | 1.499624 |
| 0.461239 | 1.499516 |
| 0.462041 | 1.499408 |
| 0.462844 | 1.499302 |
| 0.463649 | 1.499196 |
| 0.464455 | 1.49909 |
| 0.465263 | 1.498985 |
| 0.466072 | 1.498881 |
| 0.466882 | 1.498777 |
| 0.467694 | 1.498673 |
| 0.468507 | 1.498571 |
| 0.469321 | 1.498468 |
| 0.470137 | 1.498367 |
| 0.470955 | 1.498266 |
| 0.471774 | 1.498165 |
| 0.472594 | 1.498065 |
| 0.473416 | 1.497966 |
| 0.474239 | 1.497867 |
| 0.475063 | 1.497768 |
| 0.475889 | 1.49767 |
| 0.476717 | 1.497573 |
| 0.477546 | 1.497476 |
| 0.478376 | 1.497379 |
| 0.479208 | 1.497284 |
| 0.480041 | 1.497188 |
| 0.480876 | 1.497093 |
| 0.481712 | 1.496999 |
| 0.482549 | 1.496905 |
| 0.483388 | 1.496812 |
| 0.484229 | 1.496719 |
| 0.485071 | 1.496626 |
| 0.485914 | 1.496534 |
| 0.486759 | 1.496443 |
| 0.487605 | 1.496352 |
| 0.488453 | 1.496261 |
| 0.489303 | 1.496171 |
| 0.490153 | 1.496082 |
| 0.491006 | 1.495993 |
| 0.491859 | 1.495904 |
| 0.492714 | 1.495816 |
| 0.493571 | 1.495728 |
| 0.494429 | 1.495641 |
| 0.495289 | 1.495554 |
| 0.49615 | 1.495467 |
| 0.497013 | 1.495381 |
| 0.497877 | 1.495296 |
| 0.498743 | 1.495211 |
| 0.49961 | 1.495126 |
| 0.500479 | 1.495042 |
| 0.501349 | 1.494958 |
| 0.50222 | 1.494875 |
| 0.503094 | 1.494792 |
| 0.503968 | 1.494709 |
| 0.504845 | 1.494627 |
| 0.505722 | 1.494545 |
| 0.506602 | 1.494464 |
| 0.507483 | 1.494383 |
| 0.508365 | 1.494302 |
| 0.509249 | 1.494222 |
| 0.510134 | 1.494143 |
| 0.511021 | 1.494063 |
| 0.51191 | 1.493984 |
| 0.5128 | 1.493906 |
| 0.513692 | 1.493828 |
| 0.514585 | 1.49375 |
| 0.515479 | 1.493673 |
| 0.516376 | 1.493596 |
| 0.517274 | 1.493519 |
| 0.518173 | 1.493443 |
| 0.519074 | 1.493367 |
| 0.519976 | 1.493292 |
| 0.52088 | 1.493217 |
| 0.521786 | 1.493142 |
| 0.522693 | 1.493067 |
| 0.523602 | 1.492993 |
| 0.524513 | 1.49292 |
| 0.525425 | 1.492847 |
| 0.526338 | 1.492774 |
| 0.527253 | 1.492701 |
| 0.52817 | 1.492629 |
| 0.529088 | 1.492557 |
| 0.530008 | 1.492486 |
| 0.53093 | 1.492414 |
| 0.531853 | 1.492344 |
| 0.532778 | 1.492273 |
| 0.533704 | 1.492203 |
| 0.534632 | 1.492133 |
| 0.535562 | 1.492064 |
| 0.536493 | 1.491995 |
| 0.537426 | 1.491926 |
| 0.53836 | 1.491857 |
| 0.539296 | 1.491789 |
| 0.540234 | 1.491722 |
| 0.541173 | 1.491654 |
| 0.542114 | 1.491587 |
| 0.543057 | 1.49152 |
| 0.544001 | 1.491454 |
| 0.544947 | 1.491387 |
| 0.545894 | 1.491322 |
| 0.546843 | 1.491256 |
| 0.547794 | 1.491191 |
| 0.548747 | 1.491126 |
| 0.549701 | 1.491061 |
| 0.550657 | 1.490997 |
| 0.551614 | 1.490933 |
| 0.552573 | 1.490869 |
| 0.553534 | 1.490806 |
| 0.554496 | 1.490743 |
| 0.55546 | 1.49068 |
| 0.556426 | 1.490617 |
| 0.557394 | 1.490555 |
| 0.558363 | 1.490493 |
| 0.559334 | 1.490431 |
| 0.560306 | 1.49037 |
| 0.56128 | 1.490309 |
| 0.562256 | 1.490248 |
| 0.563234 | 1.490188 |
| 0.564213 | 1.490128 |
| 0.565194 | 1.490068 |
| 0.566177 | 1.490008 |
| 0.567161 | 1.489949 |
| 0.568148 | 1.489889 |
| 0.569135 | 1.489831 |
| 0.570125 | 1.489772 |
| 0.571116 | 1.489714 |
| 0.572109 | 1.489656 |
| 0.573104 | 1.489598 |
| 0.5741 | 1.489541 |
| 0.575099 | 1.489483 |
| 0.576099 | 1.489426 |
| 0.5771 | 1.48937 |
| 0.578104 | 1.489313 |
| 0.579109 | 1.489257 |
| 0.580116 | 1.489201 |
| 0.581124 | 1.489146 |
| 0.582135 | 1.48909 |
| 0.583147 | 1.489035 |
| 0.584161 | 1.48898 |
| 0.585177 | 1.488925 |
| 0.586194 | 1.488871 |
| 0.587213 | 1.488817 |
| 0.588234 | 1.488763 |
| 0.589257 | 1.488709 |
| 0.590282 | 1.488656 |
| 0.591308 | 1.488603 |
| 0.592336 | 1.48855 |
| 0.593366 | 1.488497 |
| 0.594398 | 1.488445 |
| 0.595431 | 1.488392 |
| 0.596466 | 1.488341 |
| 0.597504 | 1.488289 |
| 0.598542 | 1.488237 |
| 0.599583 | 1.488186 |
| 0.600626 | 1.488135 |
| 0.60167 | 1.488084 |
| 0.602716 | 1.488034 |
| 0.603764 | 1.487983 |
| 0.604814 | 1.487933 |
| 0.605865 | 1.487883 |
| 0.606919 | 1.487833 |
| 0.607974 | 1.487784 |
| 0.609031 | 1.487735 |
| 0.61009 | 1.487686 |
| 0.611151 | 1.487637 |
| 0.612214 | 1.487588 |
| 0.613278 | 1.48754 |
| 0.614344 | 1.487492 |
| 0.615413 | 1.487444 |
| 0.616483 | 1.487396 |
| 0.617554 | 1.487349 |
| 0.618628 | 1.487301 |
| 0.619704 | 1.487254 |
| 0.620781 | 1.487207 |
| 0.621861 | 1.487161 |
| 0.622942 | 1.487114 |
| 0.624025 | 1.487068 |
| 0.62511 | 1.487022 |
| 0.626197 | 1.486976 |
| 0.627286 | 1.48693 |
| 0.628376 | 1.486885 |
| 0.629469 | 1.48684 |
| 0.630563 | 1.486795 |
| 0.63166 | 1.48675 |
| 0.632758 | 1.486705 |
| 0.633858 | 1.486661 |
| 0.63496 | 1.486616 |
| 0.636064 | 1.486572 |
| 0.63717 | 1.486528 |
| 0.638278 | 1.486485 |
| 0.639388 | 1.486441 |
| 0.6405 | 1.486398 |
| 0.641613 | 1.486355 |
| 0.642729 | 1.486312 |
| 0.643847 | 1.486269 |
| 0.644966 | 1.486226 |
| 0.646087 | 1.486184 |
| 0.647211 | 1.486142 |
| 0.648336 | 1.4861 |
| 0.649463 | 1.486058 |
| 0.650593 | 1.486016 |
| 0.651724 | 1.485975 |
| 0.652857 | 1.485933 |
| 0.653992 | 1.485892 |
| 0.655129 | 1.485851 |
| 0.656268 | 1.485811 |
| 0.657409 | 1.48577 |
| 0.658552 | 1.48573 |
| 0.659697 | 1.485689 |
| 0.660844 | 1.485649 |
| 0.661993 | 1.485609 |
| 0.663145 | 1.48557 |
| 0.664298 | 1.48553 |
| 0.665453 | 1.485491 |
| 0.66661 | 1.485452 |
| 0.667769 | 1.485413 |
| 0.66893 | 1.485374 |
| 0.670093 | 1.485335 |
| 0.671258 | 1.485296 |
| 0.672425 | 1.485258 |
| 0.673594 | 1.48522 |
| 0.674765 | 1.485182 |
| 0.675939 | 1.485144 |
| 0.677114 | 1.485106 |
| 0.678291 | 1.485069 |
| 0.679471 | 1.485031 |
| 0.680652 | 1.484994 |
| 0.681835 | 1.484957 |
| 0.683021 | 1.48492 |
| 0.684209 | 1.484883 |
| 0.685398 | 1.484846 |
| 0.68659 | 1.48481 |
| 0.687784 | 1.484774 |
| 0.68898 | 1.484737 |
| 0.690177 | 1.484701 |
| 0.691378 | 1.484666 |
| 0.69258 | 1.48463 |
| 0.693784 | 1.484594 |
| 0.69499 | 1.484559 |
| 0.696199 | 1.484524 |
| 0.697409 | 1.484489 |
| 0.698622 | 1.484454 |
| 0.699836 | 1.484419 |
| 0.701053 | 1.484384 |
| 0.702272 | 1.48435 |
| 0.703493 | 1.484315 |
| 0.704716 | 1.484281 |
| 0.705942 | 1.484247 |
| 0.707169 | 1.484213 |
| 0.708399 | 1.484179 |
| 0.70963 | 1.484145 |
| 0.710864 | 1.484112 |
| 0.7121 | 1.484079 |
| 0.713338 | 1.484045 |
| 0.714579 | 1.484012 |
| 0.715821 | 1.483979 |
| 0.717066 | 1.483946 |
| 0.718312 | 1.483914 |
| 0.719561 | 1.483881 |
| 0.720813 | 1.483849 |
| 0.722066 | 1.483816 |
| 0.723321 | 1.483784 |
| 0.724579 | 1.483752 |
| 0.725839 | 1.48372 |
| 0.727101 | 1.483689 |
| 0.728365 | 1.483657 |
| 0.729631 | 1.483625 |
| 0.7309 | 1.483594 |
| 0.732171 | 1.483563 |
| 0.733444 | 1.483532 |
| 0.734719 | 1.483501 |
| 0.735997 | 1.48347 |
| 0.737276 | 1.483439 |
| 0.738558 | 1.483408 |
| 0.739842 | 1.483378 |
| 0.741129 | 1.483348 |
| 0.742417 | 1.483317 |
| 0.743708 | 1.483287 |
| 0.745001 | 1.483257 |
| 0.746297 | 1.483228 |
| 0.747594 | 1.483198 |
| 0.748894 | 1.483168 |
| 0.750196 | 1.483139 |
| 0.751501 | 1.483109 |
| 0.752807 | 1.48308 |
| 0.754116 | 1.483051 |
| 0.755427 | 1.483022 |
| 0.756741 | 1.482993 |
| 0.758057 | 1.482964 |
| 0.759375 | 1.482936 |
| 0.760695 | 1.482907 |
| 0.762018 | 1.482879 |
| 0.763343 | 1.48285 |
| 0.76467 | 1.482822 |
| 0.765999 | 1.482794 |
| 0.767331 | 1.482766 |
| 0.768665 | 1.482738 |
| 0.770002 | 1.48271 |
| 0.771341 | 1.482683 |
| 0.772682 | 1.482655 |
| 0.774025 | 1.482628 |
| 0.775371 | 1.482601 |
| 0.776719 | 1.482573 |
| 0.77807 | 1.482546 |
| 0.779423 | 1.482519 |
| 0.780778 | 1.482493 |
| 0.782135 | 1.482466 |
| 0.783495 | 1.482439 |
| 0.784858 | 1.482413 |
| 0.786222 | 1.482386 |
| 0.787589 | 1.48236 |
| 0.788959 | 1.482334 |
| 0.790331 | 1.482308 |
| 0.791705 | 1.482282 |
| 0.793081 | 1.482256 |
| 0.79446 | 1.48223 |
| 0.795842 | 1.482204 |
| 0.797225 | 1.482179 |
| 0.798611 | 1.482153 |
| 0.8 | 1.482128 |
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. Ordinary ray (o).