Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Wu et al. 1993: n(o) 0.4–0.8 µm; 45.4 °C
- Data
- formula 6
- Range
- 0.4–0.8 µm
- Temperature
- 318.55 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
- 1.48907
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.21734
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 44.988
- Chromatic dispersion dn/dλ
- -0.0536757 µm⁻¹
- Group index ng
- 1.52061
- Group velocity dispersion
- 119.017 fs²/mm
- Dispersion parameter D
- -649.301 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; 45.4 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-45.4C-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_e056edc2b788/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-1993-45-4c-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 | 0.3849 |
| C2 | 1.5133 |
| C3 | 25.0 |
| C4 | 0.5432 |
| C5 | 18.1077 |
Comments and conditions
Conditions
- temperature
- 318.55 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 | 1.511419 |
| 0.400695 | 1.511242 |
| 0.401392 | 1.511067 |
| 0.40209 | 1.510892 |
| 0.402789 | 1.510719 |
| 0.40349 | 1.510546 |
| 0.404191 | 1.510375 |
| 0.404894 | 1.510205 |
| 0.405598 | 1.510036 |
| 0.406303 | 1.509868 |
| 0.40701 | 1.509701 |
| 0.407717 | 1.509535 |
| 0.408426 | 1.50937 |
| 0.409136 | 1.509206 |
| 0.409848 | 1.509043 |
| 0.41056 | 1.508882 |
| 0.411274 | 1.508721 |
| 0.411989 | 1.508561 |
| 0.412706 | 1.508402 |
| 0.413423 | 1.508244 |
| 0.414142 | 1.508087 |
| 0.414862 | 1.507931 |
| 0.415583 | 1.507776 |
| 0.416306 | 1.507622 |
| 0.41703 | 1.507469 |
| 0.417755 | 1.507317 |
| 0.418481 | 1.507166 |
| 0.419209 | 1.507015 |
| 0.419938 | 1.506866 |
| 0.420668 | 1.506717 |
| 0.421399 | 1.50657 |
| 0.422132 | 1.506423 |
| 0.422866 | 1.506277 |
| 0.423601 | 1.506132 |
| 0.424338 | 1.505988 |
| 0.425076 | 1.505845 |
| 0.425815 | 1.505702 |
| 0.426555 | 1.505561 |
| 0.427297 | 1.50542 |
| 0.42804 | 1.50528 |
| 0.428784 | 1.505141 |
| 0.429529 | 1.505003 |
| 0.430276 | 1.504865 |
| 0.431024 | 1.504728 |
| 0.431774 | 1.504592 |
| 0.432525 | 1.504457 |
| 0.433277 | 1.504323 |
| 0.43403 | 1.50419 |
| 0.434785 | 1.504057 |
| 0.435541 | 1.503925 |
| 0.436298 | 1.503794 |
| 0.437056 | 1.503663 |
| 0.437816 | 1.503533 |
| 0.438578 | 1.503404 |
| 0.43934 | 1.503276 |
| 0.440104 | 1.503149 |
| 0.440869 | 1.503022 |
| 0.441636 | 1.502896 |
| 0.442404 | 1.502771 |
| 0.443173 | 1.502646 |
| 0.443943 | 1.502522 |
| 0.444715 | 1.502399 |
| 0.445489 | 1.502276 |
| 0.446263 | 1.502155 |
| 0.447039 | 1.502033 |
| 0.447816 | 1.501913 |
| 0.448595 | 1.501793 |
| 0.449375 | 1.501674 |
| 0.450156 | 1.501556 |
| 0.450939 | 1.501438 |
| 0.451723 | 1.501321 |
| 0.452508 | 1.501204 |
| 0.453295 | 1.501088 |
| 0.454083 | 1.500973 |
| 0.454873 | 1.500859 |
| 0.455664 | 1.500745 |
| 0.456456 | 1.500631 |
| 0.45725 | 1.500519 |
| 0.458045 | 1.500407 |
| 0.458841 | 1.500295 |
| 0.459639 | 1.500184 |
| 0.460438 | 1.500074 |
| 0.461239 | 1.499964 |
| 0.462041 | 1.499855 |
| 0.462844 | 1.499747 |
| 0.463649 | 1.499639 |
| 0.464455 | 1.499532 |
| 0.465263 | 1.499425 |
| 0.466072 | 1.499319 |
| 0.466882 | 1.499214 |
| 0.467694 | 1.499109 |
| 0.468507 | 1.499004 |
| 0.469321 | 1.4989 |
| 0.470137 | 1.498797 |
| 0.470955 | 1.498694 |
| 0.471774 | 1.498592 |
| 0.472594 | 1.49849 |
| 0.473416 | 1.498389 |
| 0.474239 | 1.498289 |
| 0.475063 | 1.498189 |
| 0.475889 | 1.498089 |
| 0.476717 | 1.49799 |
| 0.477546 | 1.497892 |
| 0.478376 | 1.497794 |
| 0.479208 | 1.497696 |
| 0.480041 | 1.4976 |
| 0.480876 | 1.497503 |
| 0.481712 | 1.497407 |
| 0.482549 | 1.497312 |
| 0.483388 | 1.497217 |
| 0.484229 | 1.497123 |
| 0.485071 | 1.497029 |
| 0.485914 | 1.496935 |
| 0.486759 | 1.496842 |
| 0.487605 | 1.49675 |
| 0.488453 | 1.496658 |
| 0.489303 | 1.496566 |
| 0.490153 | 1.496475 |
| 0.491006 | 1.496385 |
| 0.491859 | 1.496295 |
| 0.492714 | 1.496205 |
| 0.493571 | 1.496116 |
| 0.494429 | 1.496027 |
| 0.495289 | 1.495939 |
| 0.49615 | 1.495851 |
| 0.497013 | 1.495764 |
| 0.497877 | 1.495677 |
| 0.498743 | 1.49559 |
| 0.49961 | 1.495504 |
| 0.500479 | 1.495419 |
| 0.501349 | 1.495333 |
| 0.50222 | 1.495249 |
| 0.503094 | 1.495164 |
| 0.503968 | 1.495081 |
| 0.504845 | 1.494997 |
| 0.505722 | 1.494914 |
| 0.506602 | 1.494831 |
| 0.507483 | 1.494749 |
| 0.508365 | 1.494667 |
| 0.509249 | 1.494586 |
| 0.510134 | 1.494505 |
| 0.511021 | 1.494424 |
| 0.51191 | 1.494344 |
| 0.5128 | 1.494265 |
| 0.513692 | 1.494185 |
| 0.514585 | 1.494106 |
| 0.515479 | 1.494028 |
| 0.516376 | 1.493949 |
| 0.517274 | 1.493872 |
| 0.518173 | 1.493794 |
| 0.519074 | 1.493717 |
| 0.519976 | 1.49364 |
| 0.52088 | 1.493564 |
| 0.521786 | 1.493488 |
| 0.522693 | 1.493413 |
| 0.523602 | 1.493338 |
| 0.524513 | 1.493263 |
| 0.525425 | 1.493188 |
| 0.526338 | 1.493114 |
| 0.527253 | 1.493041 |
| 0.52817 | 1.492967 |
| 0.529088 | 1.492894 |
| 0.530008 | 1.492822 |
| 0.53093 | 1.492749 |
| 0.531853 | 1.492677 |
| 0.532778 | 1.492606 |
| 0.533704 | 1.492534 |
| 0.534632 | 1.492464 |
| 0.535562 | 1.492393 |
| 0.536493 | 1.492323 |
| 0.537426 | 1.492253 |
| 0.53836 | 1.492183 |
| 0.539296 | 1.492114 |
| 0.540234 | 1.492045 |
| 0.541173 | 1.491977 |
| 0.542114 | 1.491909 |
| 0.543057 | 1.491841 |
| 0.544001 | 1.491773 |
| 0.544947 | 1.491706 |
| 0.545894 | 1.491639 |
| 0.546843 | 1.491572 |
| 0.547794 | 1.491506 |
| 0.548747 | 1.49144 |
| 0.549701 | 1.491374 |
| 0.550657 | 1.491309 |
| 0.551614 | 1.491244 |
| 0.552573 | 1.491179 |
| 0.553534 | 1.491115 |
| 0.554496 | 1.491051 |
| 0.55546 | 1.490987 |
| 0.556426 | 1.490923 |
| 0.557394 | 1.49086 |
| 0.558363 | 1.490797 |
| 0.559334 | 1.490735 |
| 0.560306 | 1.490672 |
| 0.56128 | 1.49061 |
| 0.562256 | 1.490548 |
| 0.563234 | 1.490487 |
| 0.564213 | 1.490426 |
| 0.565194 | 1.490365 |
| 0.566177 | 1.490304 |
| 0.567161 | 1.490244 |
| 0.568148 | 1.490184 |
| 0.569135 | 1.490124 |
| 0.570125 | 1.490065 |
| 0.571116 | 1.490005 |
| 0.572109 | 1.489947 |
| 0.573104 | 1.489888 |
| 0.5741 | 1.489829 |
| 0.575099 | 1.489771 |
| 0.576099 | 1.489713 |
| 0.5771 | 1.489656 |
| 0.578104 | 1.489599 |
| 0.579109 | 1.489541 |
| 0.580116 | 1.489485 |
| 0.581124 | 1.489428 |
| 0.582135 | 1.489372 |
| 0.583147 | 1.489316 |
| 0.584161 | 1.48926 |
| 0.585177 | 1.489205 |
| 0.586194 | 1.489149 |
| 0.587213 | 1.489094 |
| 0.588234 | 1.489039 |
| 0.589257 | 1.488985 |
| 0.590282 | 1.488931 |
| 0.591308 | 1.488877 |
| 0.592336 | 1.488823 |
| 0.593366 | 1.488769 |
| 0.594398 | 1.488716 |
| 0.595431 | 1.488663 |
| 0.596466 | 1.48861 |
| 0.597504 | 1.488558 |
| 0.598542 | 1.488505 |
| 0.599583 | 1.488453 |
| 0.600626 | 1.488401 |
| 0.60167 | 1.48835 |
| 0.602716 | 1.488298 |
| 0.603764 | 1.488247 |
| 0.604814 | 1.488196 |
| 0.605865 | 1.488146 |
| 0.606919 | 1.488095 |
| 0.607974 | 1.488045 |
| 0.609031 | 1.487995 |
| 0.61009 | 1.487945 |
| 0.611151 | 1.487895 |
| 0.612214 | 1.487846 |
| 0.613278 | 1.487797 |
| 0.614344 | 1.487748 |
| 0.615413 | 1.487699 |
| 0.616483 | 1.487651 |
| 0.617554 | 1.487603 |
| 0.618628 | 1.487554 |
| 0.619704 | 1.487507 |
| 0.620781 | 1.487459 |
| 0.621861 | 1.487412 |
| 0.622942 | 1.487364 |
| 0.624025 | 1.487317 |
| 0.62511 | 1.487271 |
| 0.626197 | 1.487224 |
| 0.627286 | 1.487178 |
| 0.628376 | 1.487131 |
| 0.629469 | 1.487085 |
| 0.630563 | 1.48704 |
| 0.63166 | 1.486994 |
| 0.632758 | 1.486949 |
| 0.633858 | 1.486903 |
| 0.63496 | 1.486858 |
| 0.636064 | 1.486814 |
| 0.63717 | 1.486769 |
| 0.638278 | 1.486725 |
| 0.639388 | 1.486681 |
| 0.6405 | 1.486636 |
| 0.641613 | 1.486593 |
| 0.642729 | 1.486549 |
| 0.643847 | 1.486506 |
| 0.644966 | 1.486462 |
| 0.646087 | 1.486419 |
| 0.647211 | 1.486376 |
| 0.648336 | 1.486334 |
| 0.649463 | 1.486291 |
| 0.650593 | 1.486249 |
| 0.651724 | 1.486207 |
| 0.652857 | 1.486165 |
| 0.653992 | 1.486123 |
| 0.655129 | 1.486081 |
| 0.656268 | 1.48604 |
| 0.657409 | 1.485999 |
| 0.658552 | 1.485958 |
| 0.659697 | 1.485917 |
| 0.660844 | 1.485876 |
| 0.661993 | 1.485836 |
| 0.663145 | 1.485795 |
| 0.664298 | 1.485755 |
| 0.665453 | 1.485715 |
| 0.66661 | 1.485675 |
| 0.667769 | 1.485636 |
| 0.66893 | 1.485596 |
| 0.670093 | 1.485557 |
| 0.671258 | 1.485518 |
| 0.672425 | 1.485479 |
| 0.673594 | 1.48544 |
| 0.674765 | 1.485401 |
| 0.675939 | 1.485363 |
| 0.677114 | 1.485324 |
| 0.678291 | 1.485286 |
| 0.679471 | 1.485248 |
| 0.680652 | 1.48521 |
| 0.681835 | 1.485173 |
| 0.683021 | 1.485135 |
| 0.684209 | 1.485098 |
| 0.685398 | 1.485061 |
| 0.68659 | 1.485023 |
| 0.687784 | 1.484987 |
| 0.68898 | 1.48495 |
| 0.690177 | 1.484913 |
| 0.691378 | 1.484877 |
| 0.69258 | 1.484841 |
| 0.693784 | 1.484804 |
| 0.69499 | 1.484768 |
| 0.696199 | 1.484733 |
| 0.697409 | 1.484697 |
| 0.698622 | 1.484661 |
| 0.699836 | 1.484626 |
| 0.701053 | 1.484591 |
| 0.702272 | 1.484556 |
| 0.703493 | 1.484521 |
| 0.704716 | 1.484486 |
| 0.705942 | 1.484451 |
| 0.707169 | 1.484417 |
| 0.708399 | 1.484383 |
| 0.70963 | 1.484348 |
| 0.710864 | 1.484314 |
| 0.7121 | 1.48428 |
| 0.713338 | 1.484247 |
| 0.714579 | 1.484213 |
| 0.715821 | 1.484179 |
| 0.717066 | 1.484146 |
| 0.718312 | 1.484113 |
| 0.719561 | 1.48408 |
| 0.720813 | 1.484047 |
| 0.722066 | 1.484014 |
| 0.723321 | 1.483981 |
| 0.724579 | 1.483949 |
| 0.725839 | 1.483916 |
| 0.727101 | 1.483884 |
| 0.728365 | 1.483852 |
| 0.729631 | 1.48382 |
| 0.7309 | 1.483788 |
| 0.732171 | 1.483756 |
| 0.733444 | 1.483725 |
| 0.734719 | 1.483693 |
| 0.735997 | 1.483662 |
| 0.737276 | 1.483631 |
| 0.738558 | 1.4836 |
| 0.739842 | 1.483569 |
| 0.741129 | 1.483538 |
| 0.742417 | 1.483507 |
| 0.743708 | 1.483477 |
| 0.745001 | 1.483446 |
| 0.746297 | 1.483416 |
| 0.747594 | 1.483386 |
| 0.748894 | 1.483356 |
| 0.750196 | 1.483326 |
| 0.751501 | 1.483296 |
| 0.752807 | 1.483266 |
| 0.754116 | 1.483236 |
| 0.755427 | 1.483207 |
| 0.756741 | 1.483178 |
| 0.758057 | 1.483148 |
| 0.759375 | 1.483119 |
| 0.760695 | 1.48309 |
| 0.762018 | 1.483061 |
| 0.763343 | 1.483033 |
| 0.76467 | 1.483004 |
| 0.765999 | 1.482976 |
| 0.767331 | 1.482947 |
| 0.768665 | 1.482919 |
| 0.770002 | 1.482891 |
| 0.771341 | 1.482863 |
| 0.772682 | 1.482835 |
| 0.774025 | 1.482807 |
| 0.775371 | 1.482779 |
| 0.776719 | 1.482751 |
| 0.77807 | 1.482724 |
| 0.779423 | 1.482697 |
| 0.780778 | 1.482669 |
| 0.782135 | 1.482642 |
| 0.783495 | 1.482615 |
| 0.784858 | 1.482588 |
| 0.786222 | 1.482561 |
| 0.787589 | 1.482535 |
| 0.788959 | 1.482508 |
| 0.790331 | 1.482481 |
| 0.791705 | 1.482455 |
| 0.793081 | 1.482429 |
| 0.79446 | 1.482402 |
| 0.795842 | 1.482376 |
| 0.797225 | 1.48235 |
| 0.798611 | 1.482325 |
| 0.8 | 1.482299 |
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
- —
45.4 °C. Ordinary ray (o).