Optical constants
Refractive index of C5H5N (Pyridine)
Chang et al. 2024: n 0.4–2.0 µm
- Data
- formula 1
- Range
- 0.4–2 µm
- Temperature
- 295 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.50772
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.27321
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 32.308
- Chromatic dispersion dn/dλ
- -0.0800852 µm⁻¹
- Group index ng
- 1.55477
- Group velocity dispersion
- 156.284 fs²/mm
- Dispersion parameter D
- -852.614 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
# C5H5N (Pyridine): Chang et al. 2024: n 0.4–2.0 µm
c5h5n = ls.fetch_refractiveindex("organic", "pyridine", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c5h5n.range_nm) # (400, 2000) nm
eps = c5h5n.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_b3c3b38edc0e/lightsmith"
c5h5n = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c5h5n.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (pyridine/chang-2024).
# ... load c5h5n as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c5h5n)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, 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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_b3c3b38edc0e/lightsmith?model=drude_lorentz"
c5h5n_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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
Sellmeier (formula 1), λ in µmValid from 0.4 to 2.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 1.206 |
| C3 | 0.135 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1364/ome.519907 Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry, Optical Materials Express (2024)
Cite
Hao-Jung Chang et al.. Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry. Optical Materials Express, 14, 1253 (2024), doi:10.1364/ome.519907; 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 | 1.536564 |
| 0.401617 | 1.536107 |
| 0.40324 | 1.535655 |
| 0.40487 | 1.535207 |
| 0.406506 | 1.534763 |
| 0.408149 | 1.534323 |
| 0.409799 | 1.533888 |
| 0.411455 | 1.533457 |
| 0.413118 | 1.53303 |
| 0.414788 | 1.532608 |
| 0.416465 | 1.532189 |
| 0.418148 | 1.531775 |
| 0.419838 | 1.531364 |
| 0.421535 | 1.530957 |
| 0.423239 | 1.530555 |
| 0.424949 | 1.530156 |
| 0.426667 | 1.529761 |
| 0.428391 | 1.52937 |
| 0.430123 | 1.528982 |
| 0.431861 | 1.528598 |
| 0.433607 | 1.528218 |
| 0.435359 | 1.527841 |
| 0.437119 | 1.527468 |
| 0.438886 | 1.527099 |
| 0.44066 | 1.526733 |
| 0.442441 | 1.526371 |
| 0.444229 | 1.526012 |
| 0.446024 | 1.525656 |
| 0.447827 | 1.525304 |
| 0.449637 | 1.524955 |
| 0.451455 | 1.524609 |
| 0.453279 | 1.524266 |
| 0.455111 | 1.523927 |
| 0.456951 | 1.523591 |
| 0.458798 | 1.523258 |
| 0.460652 | 1.522928 |
| 0.462514 | 1.522601 |
| 0.464383 | 1.522278 |
| 0.46626 | 1.521957 |
| 0.468145 | 1.521639 |
| 0.470037 | 1.521324 |
| 0.471937 | 1.521012 |
| 0.473844 | 1.520703 |
| 0.47576 | 1.520397 |
| 0.477683 | 1.520094 |
| 0.479613 | 1.519793 |
| 0.481552 | 1.519496 |
| 0.483498 | 1.519201 |
| 0.485452 | 1.518908 |
| 0.487414 | 1.518619 |
| 0.489385 | 1.518332 |
| 0.491363 | 1.518048 |
| 0.493349 | 1.517766 |
| 0.495343 | 1.517487 |
| 0.497345 | 1.51721 |
| 0.499355 | 1.516936 |
| 0.501373 | 1.516665 |
| 0.5034 | 1.516395 |
| 0.505434 | 1.516129 |
| 0.507477 | 1.515865 |
| 0.509528 | 1.515603 |
| 0.511588 | 1.515343 |
| 0.513655 | 1.515086 |
| 0.515732 | 1.514831 |
| 0.517816 | 1.514579 |
| 0.519909 | 1.514329 |
| 0.52201 | 1.514081 |
| 0.52412 | 1.513835 |
| 0.526239 | 1.513592 |
| 0.528366 | 1.513351 |
| 0.530501 | 1.513111 |
| 0.532645 | 1.512874 |
| 0.534798 | 1.51264 |
| 0.53696 | 1.512407 |
| 0.53913 | 1.512176 |
| 0.541309 | 1.511948 |
| 0.543497 | 1.511721 |
| 0.545694 | 1.511497 |
| 0.547899 | 1.511274 |
| 0.550114 | 1.511054 |
| 0.552337 | 1.510835 |
| 0.55457 | 1.510619 |
| 0.556811 | 1.510404 |
| 0.559062 | 1.510191 |
| 0.561321 | 1.50998 |
| 0.56359 | 1.509771 |
| 0.565868 | 1.509564 |
| 0.568155 | 1.509359 |
| 0.570452 | 1.509155 |
| 0.572757 | 1.508954 |
| 0.575072 | 1.508754 |
| 0.577397 | 1.508556 |
| 0.57973 | 1.508359 |
| 0.582073 | 1.508165 |
| 0.584426 | 1.507972 |
| 0.586788 | 1.50778 |
| 0.58916 | 1.507591 |
| 0.591541 | 1.507403 |
| 0.593932 | 1.507217 |
| 0.596333 | 1.507032 |
| 0.598743 | 1.506849 |
| 0.601163 | 1.506668 |
| 0.603593 | 1.506488 |
| 0.606032 | 1.50631 |
| 0.608482 | 1.506133 |
| 0.610941 | 1.505958 |
| 0.613411 | 1.505784 |
| 0.61589 | 1.505612 |
| 0.618379 | 1.505442 |
| 0.620879 | 1.505273 |
| 0.623388 | 1.505105 |
| 0.625908 | 1.504939 |
| 0.628438 | 1.504774 |
| 0.630978 | 1.504611 |
| 0.633528 | 1.504449 |
| 0.636088 | 1.504289 |
| 0.638659 | 1.50413 |
| 0.641241 | 1.503972 |
| 0.643833 | 1.503816 |
| 0.646435 | 1.503661 |
| 0.649048 | 1.503507 |
| 0.651671 | 1.503355 |
| 0.654305 | 1.503204 |
| 0.656949 | 1.503054 |
| 0.659605 | 1.502906 |
| 0.662271 | 1.502759 |
| 0.664948 | 1.502613 |
| 0.667635 | 1.502469 |
| 0.670334 | 1.502325 |
| 0.673043 | 1.502183 |
| 0.675763 | 1.502043 |
| 0.678495 | 1.501903 |
| 0.681237 | 1.501765 |
| 0.68399 | 1.501627 |
| 0.686755 | 1.501491 |
| 0.689531 | 1.501356 |
| 0.692318 | 1.501223 |
| 0.695116 | 1.50109 |
| 0.697925 | 1.500959 |
| 0.700746 | 1.500828 |
| 0.703579 | 1.500699 |
| 0.706422 | 1.500571 |
| 0.709278 | 1.500444 |
| 0.712144 | 1.500318 |
| 0.715023 | 1.500193 |
| 0.717913 | 1.50007 |
| 0.720814 | 1.499947 |
| 0.723728 | 1.499825 |
| 0.726653 | 1.499705 |
| 0.72959 | 1.499585 |
| 0.732539 | 1.499466 |
| 0.7355 | 1.499349 |
| 0.738472 | 1.499232 |
| 0.741457 | 1.499117 |
| 0.744454 | 1.499002 |
| 0.747463 | 1.498888 |
| 0.750484 | 1.498776 |
| 0.753517 | 1.498664 |
| 0.756563 | 1.498553 |
| 0.759621 | 1.498444 |
| 0.762691 | 1.498335 |
| 0.765774 | 1.498227 |
| 0.768869 | 1.49812 |
| 0.771977 | 1.498014 |
| 0.775097 | 1.497908 |
| 0.77823 | 1.497804 |
| 0.781375 | 1.497701 |
| 0.784533 | 1.497598 |
| 0.787704 | 1.497496 |
| 0.790888 | 1.497395 |
| 0.794085 | 1.497295 |
| 0.797294 | 1.497196 |
| 0.800517 | 1.497098 |
| 0.803752 | 1.497001 |
| 0.807001 | 1.496904 |
| 0.810263 | 1.496808 |
| 0.813538 | 1.496713 |
| 0.816826 | 1.496619 |
| 0.820127 | 1.496525 |
| 0.823442 | 1.496433 |
| 0.82677 | 1.496341 |
| 0.830112 | 1.49625 |
| 0.833467 | 1.496159 |
| 0.836836 | 1.49607 |
| 0.840218 | 1.495981 |
| 0.843614 | 1.495893 |
| 0.847024 | 1.495805 |
| 0.850447 | 1.495719 |
| 0.853885 | 1.495633 |
| 0.857336 | 1.495548 |
| 0.860801 | 1.495463 |
| 0.86428 | 1.49538 |
| 0.867774 | 1.495297 |
| 0.871281 | 1.495214 |
| 0.874803 | 1.495133 |
| 0.878338 | 1.495052 |
| 0.881888 | 1.494971 |
| 0.885453 | 1.494892 |
| 0.889032 | 1.494813 |
| 0.892625 | 1.494734 |
| 0.896233 | 1.494657 |
| 0.899855 | 1.49458 |
| 0.903492 | 1.494503 |
| 0.907144 | 1.494428 |
| 0.910811 | 1.494353 |
| 0.914492 | 1.494278 |
| 0.918188 | 1.494204 |
| 0.921899 | 1.494131 |
| 0.925626 | 1.494059 |
| 0.929367 | 1.493987 |
| 0.933123 | 1.493915 |
| 0.936895 | 1.493844 |
| 0.940681 | 1.493774 |
| 0.944483 | 1.493704 |
| 0.948301 | 1.493635 |
| 0.952134 | 1.493567 |
| 0.955982 | 1.493499 |
| 0.959846 | 1.493432 |
| 0.963726 | 1.493365 |
| 0.967621 | 1.493299 |
| 0.971532 | 1.493233 |
| 0.975458 | 1.493168 |
| 0.979401 | 1.493103 |
| 0.98336 | 1.493039 |
| 0.987334 | 1.492976 |
| 0.991325 | 1.492913 |
| 0.995332 | 1.49285 |
| 0.999355 | 1.492788 |
| 1.00339 | 1.492727 |
| 1.00745 | 1.492666 |
| 1.01152 | 1.492605 |
| 1.01561 | 1.492546 |
| 1.01971 | 1.492486 |
| 1.02384 | 1.492427 |
| 1.02797 | 1.492369 |
| 1.03213 | 1.492311 |
| 1.0363 | 1.492253 |
| 1.04049 | 1.492196 |
| 1.04469 | 1.49214 |
| 1.04892 | 1.492084 |
| 1.05316 | 1.492028 |
| 1.05741 | 1.491973 |
| 1.06169 | 1.491918 |
| 1.06598 | 1.491864 |
| 1.07029 | 1.49181 |
| 1.07461 | 1.491757 |
| 1.07896 | 1.491704 |
| 1.08332 | 1.491651 |
| 1.0877 | 1.491599 |
| 1.09209 | 1.491548 |
| 1.09651 | 1.491497 |
| 1.10094 | 1.491446 |
| 1.10539 | 1.491395 |
| 1.10986 | 1.491346 |
| 1.11434 | 1.491296 |
| 1.11885 | 1.491247 |
| 1.12337 | 1.491198 |
| 1.12791 | 1.49115 |
| 1.13247 | 1.491102 |
| 1.13704 | 1.491054 |
| 1.14164 | 1.491007 |
| 1.14625 | 1.490961 |
| 1.15089 | 1.490914 |
| 1.15554 | 1.490868 |
| 1.16021 | 1.490823 |
| 1.1649 | 1.490778 |
| 1.16961 | 1.490733 |
| 1.17433 | 1.490688 |
| 1.17908 | 1.490644 |
| 1.18385 | 1.4906 |
| 1.18863 | 1.490557 |
| 1.19344 | 1.490514 |
| 1.19826 | 1.490471 |
| 1.2031 | 1.490429 |
| 1.20797 | 1.490387 |
| 1.21285 | 1.490345 |
| 1.21775 | 1.490304 |
| 1.22267 | 1.490263 |
| 1.22761 | 1.490222 |
| 1.23258 | 1.490182 |
| 1.23756 | 1.490142 |
| 1.24256 | 1.490103 |
| 1.24758 | 1.490063 |
| 1.25262 | 1.490024 |
| 1.25769 | 1.489986 |
| 1.26277 | 1.489947 |
| 1.26787 | 1.489909 |
| 1.273 | 1.489872 |
| 1.27814 | 1.489834 |
| 1.28331 | 1.489797 |
| 1.2885 | 1.48976 |
| 1.2937 | 1.489724 |
| 1.29893 | 1.489688 |
| 1.30418 | 1.489652 |
| 1.30945 | 1.489616 |
| 1.31475 | 1.489581 |
| 1.32006 | 1.489546 |
| 1.3254 | 1.489511 |
| 1.33075 | 1.489477 |
| 1.33613 | 1.489442 |
| 1.34153 | 1.489408 |
| 1.34696 | 1.489375 |
| 1.3524 | 1.489342 |
| 1.35787 | 1.489308 |
| 1.36335 | 1.489276 |
| 1.36886 | 1.489243 |
| 1.3744 | 1.489211 |
| 1.37995 | 1.489179 |
| 1.38553 | 1.489147 |
| 1.39113 | 1.489116 |
| 1.39675 | 1.489084 |
| 1.4024 | 1.489053 |
| 1.40807 | 1.489023 |
| 1.41376 | 1.488992 |
| 1.41947 | 1.488962 |
| 1.42521 | 1.488932 |
| 1.43097 | 1.488902 |
| 1.43675 | 1.488873 |
| 1.44256 | 1.488844 |
| 1.44839 | 1.488815 |
| 1.45424 | 1.488786 |
| 1.46012 | 1.488757 |
| 1.46602 | 1.488729 |
| 1.47195 | 1.488701 |
| 1.4779 | 1.488673 |
| 1.48387 | 1.488645 |
| 1.48987 | 1.488618 |
| 1.49589 | 1.488591 |
| 1.50194 | 1.488564 |
| 1.50801 | 1.488537 |
| 1.5141 | 1.488511 |
| 1.52022 | 1.488484 |
| 1.52637 | 1.488458 |
| 1.53254 | 1.488433 |
| 1.53873 | 1.488407 |
| 1.54495 | 1.488381 |
| 1.55119 | 1.488356 |
| 1.55746 | 1.488331 |
| 1.56376 | 1.488306 |
| 1.57008 | 1.488282 |
| 1.57643 | 1.488257 |
| 1.5828 | 1.488233 |
| 1.58919 | 1.488209 |
| 1.59562 | 1.488185 |
| 1.60207 | 1.488162 |
| 1.60854 | 1.488138 |
| 1.61504 | 1.488115 |
| 1.62157 | 1.488092 |
| 1.62813 | 1.488069 |
| 1.63471 | 1.488046 |
| 1.64131 | 1.488024 |
| 1.64795 | 1.488001 |
| 1.65461 | 1.487979 |
| 1.6613 | 1.487957 |
| 1.66801 | 1.487935 |
| 1.67475 | 1.487914 |
| 1.68152 | 1.487892 |
| 1.68832 | 1.487871 |
| 1.69514 | 1.48785 |
| 1.70199 | 1.487829 |
| 1.70887 | 1.487808 |
| 1.71578 | 1.487788 |
| 1.72271 | 1.487767 |
| 1.72968 | 1.487747 |
| 1.73667 | 1.487727 |
| 1.74369 | 1.487707 |
| 1.75074 | 1.487687 |
| 1.75781 | 1.487668 |
| 1.76492 | 1.487648 |
| 1.77205 | 1.487629 |
| 1.77921 | 1.48761 |
| 1.7864 | 1.487591 |
| 1.79362 | 1.487572 |
| 1.80087 | 1.487554 |
| 1.80815 | 1.487535 |
| 1.81546 | 1.487517 |
| 1.8228 | 1.487498 |
| 1.83017 | 1.48748 |
| 1.83756 | 1.487462 |
| 1.84499 | 1.487445 |
| 1.85245 | 1.487427 |
| 1.85993 | 1.48741 |
| 1.86745 | 1.487392 |
| 1.875 | 1.487375 |
| 1.88258 | 1.487358 |
| 1.89019 | 1.487341 |
| 1.89783 | 1.487324 |
| 1.9055 | 1.487308 |
| 1.9132 | 1.487291 |
| 1.92093 | 1.487275 |
| 1.9287 | 1.487258 |
| 1.93649 | 1.487242 |
| 1.94432 | 1.487226 |
| 1.95218 | 1.48721 |
| 1.96007 | 1.487195 |
| 1.96799 | 1.487179 |
| 1.97594 | 1.487164 |
| 1.98393 | 1.487148 |
| 1.99195 | 1.487133 |
| 2 | 1.487118 |
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
- —
21.5–22.0 °C