Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(o) 0.4–0.8 µm; 34.8 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 307.95 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
- 1.48885
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.21668
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 45.852
- Chromatic dispersion dn/dλ
- -0.0526432 µm⁻¹
- Group index ng
- 1.51978
- Group velocity dispersion
- 116.711 fs²/mm
- Dispersion parameter D
- -636.718 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; 34.8 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-34.8C-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_9f3768d7712d/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-1993-34-8c-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 | 0.3866 |
| C2 | 1.49 |
| C3 | 25.0 |
| C4 | 0.53 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 307.95 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 | 1.510763 |
| 0.400695 | 1.51059 |
| 0.401392 | 1.510418 |
| 0.40209 | 1.510247 |
| 0.402789 | 1.510077 |
| 0.40349 | 1.509908 |
| 0.404191 | 1.50974 |
| 0.404894 | 1.509573 |
| 0.405598 | 1.509407 |
| 0.406303 | 1.509242 |
| 0.40701 | 1.509079 |
| 0.407717 | 1.508916 |
| 0.408426 | 1.508754 |
| 0.409136 | 1.508594 |
| 0.409848 | 1.508434 |
| 0.41056 | 1.508275 |
| 0.411274 | 1.508118 |
| 0.411989 | 1.507961 |
| 0.412706 | 1.507805 |
| 0.413423 | 1.507651 |
| 0.414142 | 1.507497 |
| 0.414862 | 1.507344 |
| 0.415583 | 1.507192 |
| 0.416306 | 1.507041 |
| 0.41703 | 1.506891 |
| 0.417755 | 1.506741 |
| 0.418481 | 1.506593 |
| 0.419209 | 1.506446 |
| 0.419938 | 1.506299 |
| 0.420668 | 1.506154 |
| 0.421399 | 1.506009 |
| 0.422132 | 1.505865 |
| 0.422866 | 1.505722 |
| 0.423601 | 1.50558 |
| 0.424338 | 1.505438 |
| 0.425076 | 1.505298 |
| 0.425815 | 1.505158 |
| 0.426555 | 1.505019 |
| 0.427297 | 1.504881 |
| 0.42804 | 1.504744 |
| 0.428784 | 1.504608 |
| 0.429529 | 1.504472 |
| 0.430276 | 1.504337 |
| 0.431024 | 1.504203 |
| 0.431774 | 1.50407 |
| 0.432525 | 1.503938 |
| 0.433277 | 1.503806 |
| 0.43403 | 1.503675 |
| 0.434785 | 1.503545 |
| 0.435541 | 1.503415 |
| 0.436298 | 1.503287 |
| 0.437056 | 1.503159 |
| 0.437816 | 1.503032 |
| 0.438578 | 1.502905 |
| 0.43934 | 1.50278 |
| 0.440104 | 1.502655 |
| 0.440869 | 1.50253 |
| 0.441636 | 1.502407 |
| 0.442404 | 1.502284 |
| 0.443173 | 1.502162 |
| 0.443943 | 1.50204 |
| 0.444715 | 1.501919 |
| 0.445489 | 1.501799 |
| 0.446263 | 1.50168 |
| 0.447039 | 1.501561 |
| 0.447816 | 1.501443 |
| 0.448595 | 1.501325 |
| 0.449375 | 1.501208 |
| 0.450156 | 1.501092 |
| 0.450939 | 1.500977 |
| 0.451723 | 1.500862 |
| 0.452508 | 1.500748 |
| 0.453295 | 1.500634 |
| 0.454083 | 1.500521 |
| 0.454873 | 1.500409 |
| 0.455664 | 1.500297 |
| 0.456456 | 1.500186 |
| 0.45725 | 1.500076 |
| 0.458045 | 1.499966 |
| 0.458841 | 1.499856 |
| 0.459639 | 1.499748 |
| 0.460438 | 1.49964 |
| 0.461239 | 1.499532 |
| 0.462041 | 1.499425 |
| 0.462844 | 1.499319 |
| 0.463649 | 1.499213 |
| 0.464455 | 1.499108 |
| 0.465263 | 1.499003 |
| 0.466072 | 1.498899 |
| 0.466882 | 1.498796 |
| 0.467694 | 1.498693 |
| 0.468507 | 1.49859 |
| 0.469321 | 1.498489 |
| 0.470137 | 1.498387 |
| 0.470955 | 1.498287 |
| 0.471774 | 1.498186 |
| 0.472594 | 1.498087 |
| 0.473416 | 1.497988 |
| 0.474239 | 1.497889 |
| 0.475063 | 1.497791 |
| 0.475889 | 1.497693 |
| 0.476717 | 1.497596 |
| 0.477546 | 1.4975 |
| 0.478376 | 1.497404 |
| 0.479208 | 1.497308 |
| 0.480041 | 1.497213 |
| 0.480876 | 1.497118 |
| 0.481712 | 1.497024 |
| 0.482549 | 1.496931 |
| 0.483388 | 1.496838 |
| 0.484229 | 1.496745 |
| 0.485071 | 1.496653 |
| 0.485914 | 1.496562 |
| 0.486759 | 1.49647 |
| 0.487605 | 1.49638 |
| 0.488453 | 1.49629 |
| 0.489303 | 1.4962 |
| 0.490153 | 1.496111 |
| 0.491006 | 1.496022 |
| 0.491859 | 1.495933 |
| 0.492714 | 1.495845 |
| 0.493571 | 1.495758 |
| 0.494429 | 1.495671 |
| 0.495289 | 1.495584 |
| 0.49615 | 1.495498 |
| 0.497013 | 1.495413 |
| 0.497877 | 1.495327 |
| 0.498743 | 1.495243 |
| 0.49961 | 1.495158 |
| 0.500479 | 1.495074 |
| 0.501349 | 1.494991 |
| 0.50222 | 1.494908 |
| 0.503094 | 1.494825 |
| 0.503968 | 1.494743 |
| 0.504845 | 1.494661 |
| 0.505722 | 1.49458 |
| 0.506602 | 1.494498 |
| 0.507483 | 1.494418 |
| 0.508365 | 1.494338 |
| 0.509249 | 1.494258 |
| 0.510134 | 1.494178 |
| 0.511021 | 1.494099 |
| 0.51191 | 1.494021 |
| 0.5128 | 1.493943 |
| 0.513692 | 1.493865 |
| 0.514585 | 1.493787 |
| 0.515479 | 1.49371 |
| 0.516376 | 1.493634 |
| 0.517274 | 1.493557 |
| 0.518173 | 1.493481 |
| 0.519074 | 1.493406 |
| 0.519976 | 1.493331 |
| 0.52088 | 1.493256 |
| 0.521786 | 1.493181 |
| 0.522693 | 1.493107 |
| 0.523602 | 1.493033 |
| 0.524513 | 1.49296 |
| 0.525425 | 1.492887 |
| 0.526338 | 1.492814 |
| 0.527253 | 1.492742 |
| 0.52817 | 1.49267 |
| 0.529088 | 1.492599 |
| 0.530008 | 1.492527 |
| 0.53093 | 1.492457 |
| 0.531853 | 1.492386 |
| 0.532778 | 1.492316 |
| 0.533704 | 1.492246 |
| 0.534632 | 1.492176 |
| 0.535562 | 1.492107 |
| 0.536493 | 1.492038 |
| 0.537426 | 1.49197 |
| 0.53836 | 1.491902 |
| 0.539296 | 1.491834 |
| 0.540234 | 1.491766 |
| 0.541173 | 1.491699 |
| 0.542114 | 1.491632 |
| 0.543057 | 1.491565 |
| 0.544001 | 1.491499 |
| 0.544947 | 1.491433 |
| 0.545894 | 1.491368 |
| 0.546843 | 1.491302 |
| 0.547794 | 1.491237 |
| 0.548747 | 1.491173 |
| 0.549701 | 1.491108 |
| 0.550657 | 1.491044 |
| 0.551614 | 1.49098 |
| 0.552573 | 1.490917 |
| 0.553534 | 1.490854 |
| 0.554496 | 1.490791 |
| 0.55546 | 1.490728 |
| 0.556426 | 1.490666 |
| 0.557394 | 1.490604 |
| 0.558363 | 1.490542 |
| 0.559334 | 1.490481 |
| 0.560306 | 1.49042 |
| 0.56128 | 1.490359 |
| 0.562256 | 1.490298 |
| 0.563234 | 1.490238 |
| 0.564213 | 1.490178 |
| 0.565194 | 1.490118 |
| 0.566177 | 1.490059 |
| 0.567161 | 1.49 |
| 0.568148 | 1.489941 |
| 0.569135 | 1.489882 |
| 0.570125 | 1.489824 |
| 0.571116 | 1.489766 |
| 0.572109 | 1.489708 |
| 0.573104 | 1.48965 |
| 0.5741 | 1.489593 |
| 0.575099 | 1.489536 |
| 0.576099 | 1.489479 |
| 0.5771 | 1.489423 |
| 0.578104 | 1.489367 |
| 0.579109 | 1.489311 |
| 0.580116 | 1.489255 |
| 0.581124 | 1.489199 |
| 0.582135 | 1.489144 |
| 0.583147 | 1.489089 |
| 0.584161 | 1.489035 |
| 0.585177 | 1.48898 |
| 0.586194 | 1.488926 |
| 0.587213 | 1.488872 |
| 0.588234 | 1.488818 |
| 0.589257 | 1.488765 |
| 0.590282 | 1.488712 |
| 0.591308 | 1.488659 |
| 0.592336 | 1.488606 |
| 0.593366 | 1.488553 |
| 0.594398 | 1.488501 |
| 0.595431 | 1.488449 |
| 0.596466 | 1.488397 |
| 0.597504 | 1.488346 |
| 0.598542 | 1.488294 |
| 0.599583 | 1.488243 |
| 0.600626 | 1.488192 |
| 0.60167 | 1.488142 |
| 0.602716 | 1.488091 |
| 0.603764 | 1.488041 |
| 0.604814 | 1.487991 |
| 0.605865 | 1.487942 |
| 0.606919 | 1.487892 |
| 0.607974 | 1.487843 |
| 0.609031 | 1.487794 |
| 0.61009 | 1.487745 |
| 0.611151 | 1.487696 |
| 0.612214 | 1.487648 |
| 0.613278 | 1.4876 |
| 0.614344 | 1.487552 |
| 0.615413 | 1.487504 |
| 0.616483 | 1.487456 |
| 0.617554 | 1.487409 |
| 0.618628 | 1.487362 |
| 0.619704 | 1.487315 |
| 0.620781 | 1.487268 |
| 0.621861 | 1.487222 |
| 0.622942 | 1.487175 |
| 0.624025 | 1.487129 |
| 0.62511 | 1.487083 |
| 0.626197 | 1.487038 |
| 0.627286 | 1.486992 |
| 0.628376 | 1.486947 |
| 0.629469 | 1.486902 |
| 0.630563 | 1.486857 |
| 0.63166 | 1.486812 |
| 0.632758 | 1.486768 |
| 0.633858 | 1.486723 |
| 0.63496 | 1.486679 |
| 0.636064 | 1.486635 |
| 0.63717 | 1.486591 |
| 0.638278 | 1.486548 |
| 0.639388 | 1.486505 |
| 0.6405 | 1.486461 |
| 0.641613 | 1.486418 |
| 0.642729 | 1.486376 |
| 0.643847 | 1.486333 |
| 0.644966 | 1.486291 |
| 0.646087 | 1.486248 |
| 0.647211 | 1.486206 |
| 0.648336 | 1.486165 |
| 0.649463 | 1.486123 |
| 0.650593 | 1.486081 |
| 0.651724 | 1.48604 |
| 0.652857 | 1.485999 |
| 0.653992 | 1.485958 |
| 0.655129 | 1.485917 |
| 0.656268 | 1.485876 |
| 0.657409 | 1.485836 |
| 0.658552 | 1.485796 |
| 0.659697 | 1.485756 |
| 0.660844 | 1.485716 |
| 0.661993 | 1.485676 |
| 0.663145 | 1.485636 |
| 0.664298 | 1.485597 |
| 0.665453 | 1.485558 |
| 0.66661 | 1.485519 |
| 0.667769 | 1.48548 |
| 0.66893 | 1.485441 |
| 0.670093 | 1.485402 |
| 0.671258 | 1.485364 |
| 0.672425 | 1.485326 |
| 0.673594 | 1.485288 |
| 0.674765 | 1.48525 |
| 0.675939 | 1.485212 |
| 0.677114 | 1.485174 |
| 0.678291 | 1.485137 |
| 0.679471 | 1.4851 |
| 0.680652 | 1.485063 |
| 0.681835 | 1.485026 |
| 0.683021 | 1.484989 |
| 0.684209 | 1.484952 |
| 0.685398 | 1.484916 |
| 0.68659 | 1.484879 |
| 0.687784 | 1.484843 |
| 0.68898 | 1.484807 |
| 0.690177 | 1.484771 |
| 0.691378 | 1.484735 |
| 0.69258 | 1.4847 |
| 0.693784 | 1.484664 |
| 0.69499 | 1.484629 |
| 0.696199 | 1.484594 |
| 0.697409 | 1.484559 |
| 0.698622 | 1.484524 |
| 0.699836 | 1.48449 |
| 0.701053 | 1.484455 |
| 0.702272 | 1.484421 |
| 0.703493 | 1.484386 |
| 0.704716 | 1.484352 |
| 0.705942 | 1.484318 |
| 0.707169 | 1.484284 |
| 0.708399 | 1.484251 |
| 0.70963 | 1.484217 |
| 0.710864 | 1.484184 |
| 0.7121 | 1.484151 |
| 0.713338 | 1.484117 |
| 0.714579 | 1.484084 |
| 0.715821 | 1.484052 |
| 0.717066 | 1.484019 |
| 0.718312 | 1.483986 |
| 0.719561 | 1.483954 |
| 0.720813 | 1.483921 |
| 0.722066 | 1.483889 |
| 0.723321 | 1.483857 |
| 0.724579 | 1.483825 |
| 0.725839 | 1.483794 |
| 0.727101 | 1.483762 |
| 0.728365 | 1.48373 |
| 0.729631 | 1.483699 |
| 0.7309 | 1.483668 |
| 0.732171 | 1.483637 |
| 0.733444 | 1.483606 |
| 0.734719 | 1.483575 |
| 0.735997 | 1.483544 |
| 0.737276 | 1.483513 |
| 0.738558 | 1.483483 |
| 0.739842 | 1.483453 |
| 0.741129 | 1.483422 |
| 0.742417 | 1.483392 |
| 0.743708 | 1.483362 |
| 0.745001 | 1.483332 |
| 0.746297 | 1.483303 |
| 0.747594 | 1.483273 |
| 0.748894 | 1.483243 |
| 0.750196 | 1.483214 |
| 0.751501 | 1.483185 |
| 0.752807 | 1.483156 |
| 0.754116 | 1.483127 |
| 0.755427 | 1.483098 |
| 0.756741 | 1.483069 |
| 0.758057 | 1.48304 |
| 0.759375 | 1.483012 |
| 0.760695 | 1.482983 |
| 0.762018 | 1.482955 |
| 0.763343 | 1.482927 |
| 0.76467 | 1.482899 |
| 0.765999 | 1.482871 |
| 0.767331 | 1.482843 |
| 0.768665 | 1.482815 |
| 0.770002 | 1.482787 |
| 0.771341 | 1.48276 |
| 0.772682 | 1.482732 |
| 0.774025 | 1.482705 |
| 0.775371 | 1.482678 |
| 0.776719 | 1.482651 |
| 0.77807 | 1.482624 |
| 0.779423 | 1.482597 |
| 0.780778 | 1.48257 |
| 0.782135 | 1.482544 |
| 0.783495 | 1.482517 |
| 0.784858 | 1.482491 |
| 0.786222 | 1.482464 |
| 0.787589 | 1.482438 |
| 0.788959 | 1.482412 |
| 0.790331 | 1.482386 |
| 0.791705 | 1.48236 |
| 0.793081 | 1.482334 |
| 0.79446 | 1.482309 |
| 0.795842 | 1.482283 |
| 0.797225 | 1.482257 |
| 0.798611 | 1.482232 |
| 0.8 | 1.482207 |
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
- —
34.8 °C. Ordinary ray (o).