Optical constants
Refractive index of C2H3N (Acetonitrile)
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
- 1.34268
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.80279
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 55.547
- Chromatic dispersion dn/dλ
- -0.0316135 µm⁻¹
- Group index ng
- 1.36126
- Group velocity dispersion
- 60.1224 fs²/mm
- Dispersion parameter D
- -328 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
# C2H3N (Acetonitrile): Chang et al. 2024: n 0.4–2.0 µm
c2h3n = ls.fetch_refractiveindex("organic", "acetonitrile", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h3n.range_nm) # (400, 2000) nm
eps = c2h3n.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_4db2beb6364a/lightsmith"
c2h3n = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c2h3n.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (acetonitrile/chang-2024).
# ... load c2h3n as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c2h3n)],
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_4db2beb6364a/lightsmith?model=drude_lorentz"
c2h3n_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 | 0.7786 |
| C3 | 0.102 |
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 | 1.353791 |
| 0.401617 | 1.353619 |
| 0.40324 | 1.353449 |
| 0.40487 | 1.35328 |
| 0.406506 | 1.353113 |
| 0.408149 | 1.352947 |
| 0.409799 | 1.352783 |
| 0.411455 | 1.35262 |
| 0.413118 | 1.352459 |
| 0.414788 | 1.352299 |
| 0.416465 | 1.352141 |
| 0.418148 | 1.351984 |
| 0.419838 | 1.351828 |
| 0.421535 | 1.351674 |
| 0.423239 | 1.351521 |
| 0.424949 | 1.35137 |
| 0.426667 | 1.35122 |
| 0.428391 | 1.351071 |
| 0.430123 | 1.350924 |
| 0.431861 | 1.350777 |
| 0.433607 | 1.350633 |
| 0.435359 | 1.350489 |
| 0.437119 | 1.350347 |
| 0.438886 | 1.350206 |
| 0.44066 | 1.350066 |
| 0.442441 | 1.349927 |
| 0.444229 | 1.34979 |
| 0.446024 | 1.349654 |
| 0.447827 | 1.349519 |
| 0.449637 | 1.349385 |
| 0.451455 | 1.349253 |
| 0.453279 | 1.349122 |
| 0.455111 | 1.348991 |
| 0.456951 | 1.348862 |
| 0.458798 | 1.348734 |
| 0.460652 | 1.348608 |
| 0.462514 | 1.348482 |
| 0.464383 | 1.348357 |
| 0.46626 | 1.348234 |
| 0.468145 | 1.348111 |
| 0.470037 | 1.34799 |
| 0.471937 | 1.34787 |
| 0.473844 | 1.34775 |
| 0.47576 | 1.347632 |
| 0.477683 | 1.347515 |
| 0.479613 | 1.347399 |
| 0.481552 | 1.347284 |
| 0.483498 | 1.34717 |
| 0.485452 | 1.347056 |
| 0.487414 | 1.346944 |
| 0.489385 | 1.346833 |
| 0.491363 | 1.346723 |
| 0.493349 | 1.346614 |
| 0.495343 | 1.346505 |
| 0.497345 | 1.346398 |
| 0.499355 | 1.346291 |
| 0.501373 | 1.346186 |
| 0.5034 | 1.346081 |
| 0.505434 | 1.345977 |
| 0.507477 | 1.345875 |
| 0.509528 | 1.345773 |
| 0.511588 | 1.345672 |
| 0.513655 | 1.345572 |
| 0.515732 | 1.345472 |
| 0.517816 | 1.345374 |
| 0.519909 | 1.345276 |
| 0.52201 | 1.345179 |
| 0.52412 | 1.345083 |
| 0.526239 | 1.344988 |
| 0.528366 | 1.344894 |
| 0.530501 | 1.3448 |
| 0.532645 | 1.344708 |
| 0.534798 | 1.344616 |
| 0.53696 | 1.344525 |
| 0.53913 | 1.344434 |
| 0.541309 | 1.344345 |
| 0.543497 | 1.344256 |
| 0.545694 | 1.344168 |
| 0.547899 | 1.344081 |
| 0.550114 | 1.343994 |
| 0.552337 | 1.343908 |
| 0.55457 | 1.343823 |
| 0.556811 | 1.343739 |
| 0.559062 | 1.343655 |
| 0.561321 | 1.343573 |
| 0.56359 | 1.34349 |
| 0.565868 | 1.343409 |
| 0.568155 | 1.343328 |
| 0.570452 | 1.343248 |
| 0.572757 | 1.343169 |
| 0.575072 | 1.34309 |
| 0.577397 | 1.343012 |
| 0.57973 | 1.342934 |
| 0.582073 | 1.342858 |
| 0.584426 | 1.342781 |
| 0.586788 | 1.342706 |
| 0.58916 | 1.342631 |
| 0.591541 | 1.342557 |
| 0.593932 | 1.342483 |
| 0.596333 | 1.34241 |
| 0.598743 | 1.342338 |
| 0.601163 | 1.342266 |
| 0.603593 | 1.342195 |
| 0.606032 | 1.342125 |
| 0.608482 | 1.342055 |
| 0.610941 | 1.341986 |
| 0.613411 | 1.341917 |
| 0.61589 | 1.341849 |
| 0.618379 | 1.341781 |
| 0.620879 | 1.341714 |
| 0.623388 | 1.341648 |
| 0.625908 | 1.341582 |
| 0.628438 | 1.341516 |
| 0.630978 | 1.341452 |
| 0.633528 | 1.341387 |
| 0.636088 | 1.341324 |
| 0.638659 | 1.34126 |
| 0.641241 | 1.341198 |
| 0.643833 | 1.341136 |
| 0.646435 | 1.341074 |
| 0.649048 | 1.341013 |
| 0.651671 | 1.340953 |
| 0.654305 | 1.340893 |
| 0.656949 | 1.340833 |
| 0.659605 | 1.340774 |
| 0.662271 | 1.340715 |
| 0.664948 | 1.340657 |
| 0.667635 | 1.3406 |
| 0.670334 | 1.340543 |
| 0.673043 | 1.340486 |
| 0.675763 | 1.34043 |
| 0.678495 | 1.340374 |
| 0.681237 | 1.340319 |
| 0.68399 | 1.340264 |
| 0.686755 | 1.34021 |
| 0.689531 | 1.340156 |
| 0.692318 | 1.340103 |
| 0.695116 | 1.34005 |
| 0.697925 | 1.339997 |
| 0.700746 | 1.339945 |
| 0.703579 | 1.339894 |
| 0.706422 | 1.339843 |
| 0.709278 | 1.339792 |
| 0.712144 | 1.339741 |
| 0.715023 | 1.339692 |
| 0.717913 | 1.339642 |
| 0.720814 | 1.339593 |
| 0.723728 | 1.339544 |
| 0.726653 | 1.339496 |
| 0.72959 | 1.339448 |
| 0.732539 | 1.339401 |
| 0.7355 | 1.339354 |
| 0.738472 | 1.339307 |
| 0.741457 | 1.339261 |
| 0.744454 | 1.339215 |
| 0.747463 | 1.339169 |
| 0.750484 | 1.339124 |
| 0.753517 | 1.339079 |
| 0.756563 | 1.339035 |
| 0.759621 | 1.338991 |
| 0.762691 | 1.338947 |
| 0.765774 | 1.338904 |
| 0.768869 | 1.338861 |
| 0.771977 | 1.338818 |
| 0.775097 | 1.338776 |
| 0.77823 | 1.338734 |
| 0.781375 | 1.338693 |
| 0.784533 | 1.338651 |
| 0.787704 | 1.33861 |
| 0.790888 | 1.33857 |
| 0.794085 | 1.33853 |
| 0.797294 | 1.33849 |
| 0.800517 | 1.33845 |
| 0.803752 | 1.338411 |
| 0.807001 | 1.338372 |
| 0.810263 | 1.338334 |
| 0.813538 | 1.338296 |
| 0.816826 | 1.338258 |
| 0.820127 | 1.33822 |
| 0.823442 | 1.338183 |
| 0.82677 | 1.338146 |
| 0.830112 | 1.338109 |
| 0.833467 | 1.338073 |
| 0.836836 | 1.338037 |
| 0.840218 | 1.338001 |
| 0.843614 | 1.337965 |
| 0.847024 | 1.33793 |
| 0.850447 | 1.337895 |
| 0.853885 | 1.337861 |
| 0.857336 | 1.337826 |
| 0.860801 | 1.337792 |
| 0.86428 | 1.337758 |
| 0.867774 | 1.337725 |
| 0.871281 | 1.337692 |
| 0.874803 | 1.337659 |
| 0.878338 | 1.337626 |
| 0.881888 | 1.337594 |
| 0.885453 | 1.337562 |
| 0.889032 | 1.33753 |
| 0.892625 | 1.337498 |
| 0.896233 | 1.337467 |
| 0.899855 | 1.337436 |
| 0.903492 | 1.337405 |
| 0.907144 | 1.337374 |
| 0.910811 | 1.337344 |
| 0.914492 | 1.337314 |
| 0.918188 | 1.337284 |
| 0.921899 | 1.337254 |
| 0.925626 | 1.337225 |
| 0.929367 | 1.337196 |
| 0.933123 | 1.337167 |
| 0.936895 | 1.337138 |
| 0.940681 | 1.33711 |
| 0.944483 | 1.337082 |
| 0.948301 | 1.337054 |
| 0.952134 | 1.337026 |
| 0.955982 | 1.336999 |
| 0.959846 | 1.336972 |
| 0.963726 | 1.336945 |
| 0.967621 | 1.336918 |
| 0.971532 | 1.336891 |
| 0.975458 | 1.336865 |
| 0.979401 | 1.336839 |
| 0.98336 | 1.336813 |
| 0.987334 | 1.336787 |
| 0.991325 | 1.336761 |
| 0.995332 | 1.336736 |
| 0.999355 | 1.336711 |
| 1.00339 | 1.336686 |
| 1.00745 | 1.336661 |
| 1.01152 | 1.336637 |
| 1.01561 | 1.336613 |
| 1.01971 | 1.336589 |
| 1.02384 | 1.336565 |
| 1.02797 | 1.336541 |
| 1.03213 | 1.336518 |
| 1.0363 | 1.336494 |
| 1.04049 | 1.336471 |
| 1.04469 | 1.336448 |
| 1.04892 | 1.336425 |
| 1.05316 | 1.336403 |
| 1.05741 | 1.33638 |
| 1.06169 | 1.336358 |
| 1.06598 | 1.336336 |
| 1.07029 | 1.336314 |
| 1.07461 | 1.336293 |
| 1.07896 | 1.336271 |
| 1.08332 | 1.33625 |
| 1.0877 | 1.336229 |
| 1.09209 | 1.336208 |
| 1.09651 | 1.336187 |
| 1.10094 | 1.336167 |
| 1.10539 | 1.336146 |
| 1.10986 | 1.336126 |
| 1.11434 | 1.336106 |
| 1.11885 | 1.336086 |
| 1.12337 | 1.336066 |
| 1.12791 | 1.336046 |
| 1.13247 | 1.336027 |
| 1.13704 | 1.336008 |
| 1.14164 | 1.335988 |
| 1.14625 | 1.335969 |
| 1.15089 | 1.335951 |
| 1.15554 | 1.335932 |
| 1.16021 | 1.335913 |
| 1.1649 | 1.335895 |
| 1.16961 | 1.335877 |
| 1.17433 | 1.335859 |
| 1.17908 | 1.335841 |
| 1.18385 | 1.335823 |
| 1.18863 | 1.335805 |
| 1.19344 | 1.335788 |
| 1.19826 | 1.335771 |
| 1.2031 | 1.335753 |
| 1.20797 | 1.335736 |
| 1.21285 | 1.335719 |
| 1.21775 | 1.335703 |
| 1.22267 | 1.335686 |
| 1.22761 | 1.335669 |
| 1.23258 | 1.335653 |
| 1.23756 | 1.335637 |
| 1.24256 | 1.335621 |
| 1.24758 | 1.335605 |
| 1.25262 | 1.335589 |
| 1.25769 | 1.335573 |
| 1.26277 | 1.335557 |
| 1.26787 | 1.335542 |
| 1.273 | 1.335526 |
| 1.27814 | 1.335511 |
| 1.28331 | 1.335496 |
| 1.2885 | 1.335481 |
| 1.2937 | 1.335466 |
| 1.29893 | 1.335452 |
| 1.30418 | 1.335437 |
| 1.30945 | 1.335422 |
| 1.31475 | 1.335408 |
| 1.32006 | 1.335394 |
| 1.3254 | 1.33538 |
| 1.33075 | 1.335366 |
| 1.33613 | 1.335352 |
| 1.34153 | 1.335338 |
| 1.34696 | 1.335324 |
| 1.3524 | 1.335311 |
| 1.35787 | 1.335297 |
| 1.36335 | 1.335284 |
| 1.36886 | 1.33527 |
| 1.3744 | 1.335257 |
| 1.37995 | 1.335244 |
| 1.38553 | 1.335231 |
| 1.39113 | 1.335218 |
| 1.39675 | 1.335206 |
| 1.4024 | 1.335193 |
| 1.40807 | 1.335181 |
| 1.41376 | 1.335168 |
| 1.41947 | 1.335156 |
| 1.42521 | 1.335144 |
| 1.43097 | 1.335132 |
| 1.43675 | 1.335119 |
| 1.44256 | 1.335108 |
| 1.44839 | 1.335096 |
| 1.45424 | 1.335084 |
| 1.46012 | 1.335072 |
| 1.46602 | 1.335061 |
| 1.47195 | 1.335049 |
| 1.4779 | 1.335038 |
| 1.48387 | 1.335027 |
| 1.48987 | 1.335016 |
| 1.49589 | 1.335004 |
| 1.50194 | 1.334993 |
| 1.50801 | 1.334983 |
| 1.5141 | 1.334972 |
| 1.52022 | 1.334961 |
| 1.52637 | 1.33495 |
| 1.53254 | 1.33494 |
| 1.53873 | 1.334929 |
| 1.54495 | 1.334919 |
| 1.55119 | 1.334909 |
| 1.55746 | 1.334898 |
| 1.56376 | 1.334888 |
| 1.57008 | 1.334878 |
| 1.57643 | 1.334868 |
| 1.5828 | 1.334858 |
| 1.58919 | 1.334849 |
| 1.59562 | 1.334839 |
| 1.60207 | 1.334829 |
| 1.60854 | 1.33482 |
| 1.61504 | 1.33481 |
| 1.62157 | 1.334801 |
| 1.62813 | 1.334791 |
| 1.63471 | 1.334782 |
| 1.64131 | 1.334773 |
| 1.64795 | 1.334764 |
| 1.65461 | 1.334755 |
| 1.6613 | 1.334746 |
| 1.66801 | 1.334737 |
| 1.67475 | 1.334728 |
| 1.68152 | 1.334719 |
| 1.68832 | 1.334711 |
| 1.69514 | 1.334702 |
| 1.70199 | 1.334693 |
| 1.70887 | 1.334685 |
| 1.71578 | 1.334677 |
| 1.72271 | 1.334668 |
| 1.72968 | 1.33466 |
| 1.73667 | 1.334652 |
| 1.74369 | 1.334644 |
| 1.75074 | 1.334635 |
| 1.75781 | 1.334627 |
| 1.76492 | 1.33462 |
| 1.77205 | 1.334612 |
| 1.77921 | 1.334604 |
| 1.7864 | 1.334596 |
| 1.79362 | 1.334588 |
| 1.80087 | 1.334581 |
| 1.80815 | 1.334573 |
| 1.81546 | 1.334566 |
| 1.8228 | 1.334558 |
| 1.83017 | 1.334551 |
| 1.83756 | 1.334544 |
| 1.84499 | 1.334536 |
| 1.85245 | 1.334529 |
| 1.85993 | 1.334522 |
| 1.86745 | 1.334515 |
| 1.875 | 1.334508 |
| 1.88258 | 1.334501 |
| 1.89019 | 1.334494 |
| 1.89783 | 1.334487 |
| 1.9055 | 1.33448 |
| 1.9132 | 1.334473 |
| 1.92093 | 1.334467 |
| 1.9287 | 1.33446 |
| 1.93649 | 1.334454 |
| 1.94432 | 1.334447 |
| 1.95218 | 1.33444 |
| 1.96007 | 1.334434 |
| 1.96799 | 1.334428 |
| 1.97594 | 1.334421 |
| 1.98393 | 1.334415 |
| 1.99195 | 1.334409 |
| 2 | 1.334403 |
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.