Optical constants
Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)
Li et al. 2005: n(o) 0.450–0.656 µm
- Data
- formula 5
- Range
- 0.45–0.656 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
- 1.48767
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.21316
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0597241 µm⁻¹
- Group index ng
- 1.52276
- Group velocity dispersion
- 123.516 fs²/mm
- Dispersion parameter D
- -673.843 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): Li et al. 2005: n(o) 0.450–0.656 µm
mat = ls.fetch_refractiveindex("other", "5PCH", "Li-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (450, 656) 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_65917a8e9628/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/li-2005-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=450, stop_nm=656, 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
Cauchy (formula 5), λ in µmValid from 0.45 to 0.656 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.4718 |
| C2 | 0.0049 |
| C3 | -2.0 |
| C4 | 0.0002 |
| C5 | -4.0 |
Comments and conditions
Conditions
- temperature
- 298 K
- direction
- o
References
- doi:10.1109/jdt.2005.853357 Refractive Indices of Liquid Crystals for Display Applications, Journal of Display Technology (2005)
Cite
J. Li, C.-H. Wen, S. Gauza, R. Lu and S.-T. Wu. Refractive Indices of Liquid Crystals for Display Applications. Journal of Display Technology, 1, 51-61 (2005), doi:10.1109/jdt.2005.853357; 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 |
|---|---|
| 0.45 | 1.500875 |
| 0.450425 | 1.500811 |
| 0.450851 | 1.500747 |
| 0.451277 | 1.500683 |
| 0.451704 | 1.500619 |
| 0.45213 | 1.500556 |
| 0.452558 | 1.500493 |
| 0.452985 | 1.50043 |
| 0.453414 | 1.500367 |
| 0.453842 | 1.500304 |
| 0.454271 | 1.500241 |
| 0.4547 | 1.500179 |
| 0.45513 | 1.500116 |
| 0.45556 | 1.500054 |
| 0.455991 | 1.499992 |
| 0.456422 | 1.49993 |
| 0.456853 | 1.499868 |
| 0.457285 | 1.499807 |
| 0.457717 | 1.499745 |
| 0.45815 | 1.499684 |
| 0.458583 | 1.499623 |
| 0.459016 | 1.499562 |
| 0.45945 | 1.499501 |
| 0.459884 | 1.49944 |
| 0.460319 | 1.499379 |
| 0.460754 | 1.499319 |
| 0.461189 | 1.499259 |
| 0.461625 | 1.499198 |
| 0.462061 | 1.499138 |
| 0.462498 | 1.499079 |
| 0.462935 | 1.499019 |
| 0.463373 | 1.498959 |
| 0.463811 | 1.4989 |
| 0.464249 | 1.49884 |
| 0.464688 | 1.498781 |
| 0.465127 | 1.498722 |
| 0.465566 | 1.498663 |
| 0.466006 | 1.498605 |
| 0.466447 | 1.498546 |
| 0.466888 | 1.498488 |
| 0.467329 | 1.498429 |
| 0.467771 | 1.498371 |
| 0.468213 | 1.498313 |
| 0.468655 | 1.498255 |
| 0.469098 | 1.498198 |
| 0.469541 | 1.49814 |
| 0.469985 | 1.498083 |
| 0.470429 | 1.498025 |
| 0.470874 | 1.497968 |
| 0.471319 | 1.497911 |
| 0.471764 | 1.497854 |
| 0.47221 | 1.497797 |
| 0.472657 | 1.497741 |
| 0.473103 | 1.497684 |
| 0.47355 | 1.497628 |
| 0.473998 | 1.497571 |
| 0.474446 | 1.497515 |
| 0.474894 | 1.497459 |
| 0.475343 | 1.497404 |
| 0.475792 | 1.497348 |
| 0.476242 | 1.497292 |
| 0.476692 | 1.497237 |
| 0.477143 | 1.497182 |
| 0.477594 | 1.497126 |
| 0.478045 | 1.497071 |
| 0.478497 | 1.497016 |
| 0.478949 | 1.496962 |
| 0.479402 | 1.496907 |
| 0.479855 | 1.496852 |
| 0.480308 | 1.496798 |
| 0.480762 | 1.496744 |
| 0.481217 | 1.49669 |
| 0.481671 | 1.496636 |
| 0.482127 | 1.496582 |
| 0.482582 | 1.496528 |
| 0.483038 | 1.496474 |
| 0.483495 | 1.496421 |
| 0.483952 | 1.496368 |
| 0.484409 | 1.496314 |
| 0.484867 | 1.496261 |
| 0.485325 | 1.496208 |
| 0.485784 | 1.496155 |
| 0.486243 | 1.496103 |
| 0.486703 | 1.49605 |
| 0.487162 | 1.495997 |
| 0.487623 | 1.495945 |
| 0.488084 | 1.495893 |
| 0.488545 | 1.495841 |
| 0.489007 | 1.495789 |
| 0.489469 | 1.495737 |
| 0.489932 | 1.495685 |
| 0.490395 | 1.495634 |
| 0.490858 | 1.495582 |
| 0.491322 | 1.495531 |
| 0.491786 | 1.495479 |
| 0.492251 | 1.495428 |
| 0.492716 | 1.495377 |
| 0.493182 | 1.495326 |
| 0.493648 | 1.495276 |
| 0.494115 | 1.495225 |
| 0.494582 | 1.495174 |
| 0.495049 | 1.495124 |
| 0.495517 | 1.495074 |
| 0.495985 | 1.495023 |
| 0.496454 | 1.494973 |
| 0.496923 | 1.494923 |
| 0.497393 | 1.494874 |
| 0.497863 | 1.494824 |
| 0.498333 | 1.494774 |
| 0.498804 | 1.494725 |
| 0.499276 | 1.494676 |
| 0.499748 | 1.494626 |
| 0.50022 | 1.494577 |
| 0.500693 | 1.494528 |
| 0.501166 | 1.494479 |
| 0.501639 | 1.49443 |
| 0.502114 | 1.494382 |
| 0.502588 | 1.494333 |
| 0.503063 | 1.494285 |
| 0.503539 | 1.494236 |
| 0.504014 | 1.494188 |
| 0.504491 | 1.49414 |
| 0.504968 | 1.494092 |
| 0.505445 | 1.494044 |
| 0.505923 | 1.493997 |
| 0.506401 | 1.493949 |
| 0.506879 | 1.493901 |
| 0.507358 | 1.493854 |
| 0.507838 | 1.493807 |
| 0.508318 | 1.493759 |
| 0.508798 | 1.493712 |
| 0.509279 | 1.493665 |
| 0.50976 | 1.493618 |
| 0.510242 | 1.493572 |
| 0.510724 | 1.493525 |
| 0.511207 | 1.493479 |
| 0.51169 | 1.493432 |
| 0.512174 | 1.493386 |
| 0.512658 | 1.49334 |
| 0.513142 | 1.493293 |
| 0.513627 | 1.493247 |
| 0.514113 | 1.493202 |
| 0.514599 | 1.493156 |
| 0.515085 | 1.49311 |
| 0.515572 | 1.493064 |
| 0.516059 | 1.493019 |
| 0.516547 | 1.492974 |
| 0.517035 | 1.492928 |
| 0.517524 | 1.492883 |
| 0.518013 | 1.492838 |
| 0.518502 | 1.492793 |
| 0.518992 | 1.492748 |
| 0.519483 | 1.492704 |
| 0.519974 | 1.492659 |
| 0.520465 | 1.492615 |
| 0.520957 | 1.49257 |
| 0.521449 | 1.492526 |
| 0.521942 | 1.492482 |
| 0.522435 | 1.492437 |
| 0.522929 | 1.492393 |
| 0.523423 | 1.49235 |
| 0.523918 | 1.492306 |
| 0.524413 | 1.492262 |
| 0.524909 | 1.492218 |
| 0.525405 | 1.492175 |
| 0.525902 | 1.492132 |
| 0.526399 | 1.492088 |
| 0.526896 | 1.492045 |
| 0.527394 | 1.492002 |
| 0.527892 | 1.491959 |
| 0.528391 | 1.491916 |
| 0.528891 | 1.491873 |
| 0.529391 | 1.491831 |
| 0.529891 | 1.491788 |
| 0.530392 | 1.491745 |
| 0.530893 | 1.491703 |
| 0.531395 | 1.491661 |
| 0.531897 | 1.491618 |
| 0.5324 | 1.491576 |
| 0.532903 | 1.491534 |
| 0.533406 | 1.491492 |
| 0.533911 | 1.491451 |
| 0.534415 | 1.491409 |
| 0.53492 | 1.491367 |
| 0.535426 | 1.491326 |
| 0.535932 | 1.491284 |
| 0.536438 | 1.491243 |
| 0.536945 | 1.491202 |
| 0.537453 | 1.491161 |
| 0.537961 | 1.491119 |
| 0.538469 | 1.491078 |
| 0.538978 | 1.491038 |
| 0.539487 | 1.490997 |
| 0.539997 | 1.490956 |
| 0.540508 | 1.490916 |
| 0.541018 | 1.490875 |
| 0.54153 | 1.490835 |
| 0.542042 | 1.490794 |
| 0.542554 | 1.490754 |
| 0.543067 | 1.490714 |
| 0.54358 | 1.490674 |
| 0.544094 | 1.490634 |
| 0.544608 | 1.490594 |
| 0.545122 | 1.490554 |
| 0.545638 | 1.490515 |
| 0.546153 | 1.490475 |
| 0.546669 | 1.490436 |
| 0.547186 | 1.490396 |
| 0.547703 | 1.490357 |
| 0.548221 | 1.490318 |
| 0.548739 | 1.490279 |
| 0.549258 | 1.49024 |
| 0.549777 | 1.490201 |
| 0.550296 | 1.490162 |
| 0.550816 | 1.490123 |
| 0.551337 | 1.490084 |
| 0.551858 | 1.490046 |
| 0.55238 | 1.490007 |
| 0.552902 | 1.489969 |
| 0.553424 | 1.489931 |
| 0.553947 | 1.489892 |
| 0.554471 | 1.489854 |
| 0.554995 | 1.489816 |
| 0.555519 | 1.489778 |
| 0.556044 | 1.48974 |
| 0.55657 | 1.489702 |
| 0.557096 | 1.489665 |
| 0.557622 | 1.489627 |
| 0.558149 | 1.48959 |
| 0.558677 | 1.489552 |
| 0.559205 | 1.489515 |
| 0.559733 | 1.489477 |
| 0.560262 | 1.48944 |
| 0.560792 | 1.489403 |
| 0.561322 | 1.489366 |
| 0.561852 | 1.489329 |
| 0.562383 | 1.489292 |
| 0.562915 | 1.489255 |
| 0.563447 | 1.489219 |
| 0.563979 | 1.489182 |
| 0.564512 | 1.489146 |
| 0.565046 | 1.489109 |
| 0.56558 | 1.489073 |
| 0.566114 | 1.489037 |
| 0.566649 | 1.489 |
| 0.567185 | 1.488964 |
| 0.567721 | 1.488928 |
| 0.568258 | 1.488892 |
| 0.568795 | 1.488856 |
| 0.569332 | 1.488821 |
| 0.56987 | 1.488785 |
| 0.570409 | 1.488749 |
| 0.570948 | 1.488714 |
| 0.571488 | 1.488678 |
| 0.572028 | 1.488643 |
| 0.572568 | 1.488607 |
| 0.573109 | 1.488572 |
| 0.573651 | 1.488537 |
| 0.574193 | 1.488502 |
| 0.574736 | 1.488467 |
| 0.575279 | 1.488432 |
| 0.575823 | 1.488397 |
| 0.576367 | 1.488363 |
| 0.576912 | 1.488328 |
| 0.577457 | 1.488293 |
| 0.578003 | 1.488259 |
| 0.578549 | 1.488224 |
| 0.579096 | 1.48819 |
| 0.579643 | 1.488156 |
| 0.580191 | 1.488121 |
| 0.580739 | 1.488087 |
| 0.581288 | 1.488053 |
| 0.581837 | 1.488019 |
| 0.582387 | 1.487985 |
| 0.582938 | 1.487952 |
| 0.583489 | 1.487918 |
| 0.58404 | 1.487884 |
| 0.584592 | 1.487851 |
| 0.585144 | 1.487817 |
| 0.585697 | 1.487784 |
| 0.586251 | 1.48775 |
| 0.586805 | 1.487717 |
| 0.58736 | 1.487684 |
| 0.587915 | 1.487651 |
| 0.58847 | 1.487617 |
| 0.589027 | 1.487584 |
| 0.589583 | 1.487552 |
| 0.59014 | 1.487519 |
| 0.590698 | 1.487486 |
| 0.591256 | 1.487453 |
| 0.591815 | 1.487421 |
| 0.592375 | 1.487388 |
| 0.592934 | 1.487356 |
| 0.593495 | 1.487323 |
| 0.594056 | 1.487291 |
| 0.594617 | 1.487259 |
| 0.595179 | 1.487226 |
| 0.595742 | 1.487194 |
| 0.596305 | 1.487162 |
| 0.596868 | 1.48713 |
| 0.597432 | 1.487098 |
| 0.597997 | 1.487066 |
| 0.598562 | 1.487035 |
| 0.599128 | 1.487003 |
| 0.599694 | 1.486971 |
| 0.600261 | 1.48694 |
| 0.600828 | 1.486908 |
| 0.601396 | 1.486877 |
| 0.601964 | 1.486846 |
| 0.602533 | 1.486814 |
| 0.603103 | 1.486783 |
| 0.603673 | 1.486752 |
| 0.604243 | 1.486721 |
| 0.604814 | 1.48669 |
| 0.605386 | 1.486659 |
| 0.605958 | 1.486628 |
| 0.606531 | 1.486597 |
| 0.607104 | 1.486567 |
| 0.607678 | 1.486536 |
| 0.608252 | 1.486505 |
| 0.608827 | 1.486475 |
| 0.609402 | 1.486445 |
| 0.609978 | 1.486414 |
| 0.610555 | 1.486384 |
| 0.611132 | 1.486354 |
| 0.611709 | 1.486323 |
| 0.612287 | 1.486293 |
| 0.612866 | 1.486263 |
| 0.613445 | 1.486233 |
| 0.614025 | 1.486203 |
| 0.614605 | 1.486174 |
| 0.615186 | 1.486144 |
| 0.615768 | 1.486114 |
| 0.61635 | 1.486084 |
| 0.616932 | 1.486055 |
| 0.617515 | 1.486025 |
| 0.618099 | 1.485996 |
| 0.618683 | 1.485967 |
| 0.619268 | 1.485937 |
| 0.619853 | 1.485908 |
| 0.620439 | 1.485879 |
| 0.621025 | 1.48585 |
| 0.621612 | 1.485821 |
| 0.622199 | 1.485792 |
| 0.622787 | 1.485763 |
| 0.623376 | 1.485734 |
| 0.623965 | 1.485705 |
| 0.624555 | 1.485676 |
| 0.625145 | 1.485648 |
| 0.625736 | 1.485619 |
| 0.626327 | 1.485591 |
| 0.626919 | 1.485562 |
| 0.627512 | 1.485534 |
| 0.628105 | 1.485505 |
| 0.628698 | 1.485477 |
| 0.629293 | 1.485449 |
| 0.629887 | 1.485421 |
| 0.630483 | 1.485393 |
| 0.631079 | 1.485364 |
| 0.631675 | 1.485336 |
| 0.632272 | 1.485309 |
| 0.63287 | 1.485281 |
| 0.633468 | 1.485253 |
| 0.634066 | 1.485225 |
| 0.634666 | 1.485198 |
| 0.635265 | 1.48517 |
| 0.635866 | 1.485142 |
| 0.636467 | 1.485115 |
| 0.637068 | 1.485087 |
| 0.63767 | 1.48506 |
| 0.638273 | 1.485033 |
| 0.638876 | 1.485006 |
| 0.63948 | 1.484978 |
| 0.640084 | 1.484951 |
| 0.640689 | 1.484924 |
| 0.641295 | 1.484897 |
| 0.641901 | 1.48487 |
| 0.642508 | 1.484843 |
| 0.643115 | 1.484816 |
| 0.643723 | 1.48479 |
| 0.644331 | 1.484763 |
| 0.64494 | 1.484736 |
| 0.645549 | 1.48471 |
| 0.64616 | 1.484683 |
| 0.64677 | 1.484657 |
| 0.647381 | 1.48463 |
| 0.647993 | 1.484604 |
| 0.648606 | 1.484578 |
| 0.649219 | 1.484551 |
| 0.649832 | 1.484525 |
| 0.650446 | 1.484499 |
| 0.651061 | 1.484473 |
| 0.651677 | 1.484447 |
| 0.652292 | 1.484421 |
| 0.652909 | 1.484395 |
| 0.653526 | 1.484369 |
| 0.654144 | 1.484343 |
| 0.654762 | 1.484318 |
| 0.655381 | 1.484292 |
| 0.656 | 1.484266 |
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 °C. Ordinary ray (o).