Optical constants
Refractive index of C9H10O3 (Ethyl salicylate)
Rheims et al. 1997: n 0.589–1.05 µm
- Data
- formula 5
- Range
- 0.5893–1.05 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.50832
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.27504
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0382044 µm⁻¹
- Group index ng
- 1.53839
- Group velocity dispersion
- 130.939 fs²/mm
- Dispersion parameter D
- -398.218 ps/(nm·km)
- Photon energy
- 1.5754 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
# C9H10O3 (Ethyl salicylate): Rheims et al. 1997: n 0.589–1.05 µm
c9h10o3 = ls.fetch_refractiveindex("organic", "ethyl_salicylate", "Rheims", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c9h10o3.range_nm) # (589.3, 1050) nm
eps = c9h10o3.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_c122e415e275/lightsmith"
c9h10o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c9h10o3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ethyl-salicylate/rheims-1997).
# ... load c9h10o3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c9h10o3)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=590, 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"]).
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 0.5893 to 1.05 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.49376 |
| C2 | 0.00873 |
| C3 | -2.0 |
| C4 | 0.00018 |
| C5 | -4.0 |
Comments and conditions
Conditions
- temperature
- 293 K
References
- doi:10.1088/0957-0233/8/6/003 Refractive-index measurements in the near-IR using an Abbe refractometer, Measurement Science and Technology (1997)
Cite
J Rheims, J Köser and T Wriedt. Refractive-index measurements in the near-IR using an Abbe refractometer. Measurement Science and Technology, 8, 601-605 (1997), doi:10.1088/0957-0233/8/6/003; 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 |
|---|---|
| 0.5893 | 1.520391 |
| 0.590154 | 1.52031 |
| 0.591009 | 1.520229 |
| 0.591865 | 1.520148 |
| 0.592722 | 1.520068 |
| 0.593581 | 1.519987 |
| 0.594441 | 1.519907 |
| 0.595302 | 1.519828 |
| 0.596164 | 1.519748 |
| 0.597028 | 1.519669 |
| 0.597893 | 1.51959 |
| 0.598759 | 1.519511 |
| 0.599627 | 1.519433 |
| 0.600495 | 1.519354 |
| 0.601365 | 1.519276 |
| 0.602236 | 1.519199 |
| 0.603109 | 1.519121 |
| 0.603983 | 1.519044 |
| 0.604858 | 1.518967 |
| 0.605734 | 1.51889 |
| 0.606611 | 1.518814 |
| 0.60749 | 1.518737 |
| 0.60837 | 1.518661 |
| 0.609252 | 1.518586 |
| 0.610134 | 1.51851 |
| 0.611018 | 1.518435 |
| 0.611903 | 1.51836 |
| 0.61279 | 1.518285 |
| 0.613677 | 1.51821 |
| 0.614566 | 1.518136 |
| 0.615457 | 1.518062 |
| 0.616348 | 1.517988 |
| 0.617241 | 1.517914 |
| 0.618135 | 1.517841 |
| 0.619031 | 1.517768 |
| 0.619928 | 1.517695 |
| 0.620826 | 1.517622 |
| 0.621725 | 1.51755 |
| 0.622626 | 1.517477 |
| 0.623528 | 1.517405 |
| 0.624431 | 1.517333 |
| 0.625336 | 1.517262 |
| 0.626242 | 1.517191 |
| 0.627149 | 1.517119 |
| 0.628058 | 1.517049 |
| 0.628967 | 1.516978 |
| 0.629879 | 1.516907 |
| 0.630791 | 1.516837 |
| 0.631705 | 1.516767 |
| 0.63262 | 1.516697 |
| 0.633536 | 1.516628 |
| 0.634454 | 1.516559 |
| 0.635373 | 1.516489 |
| 0.636294 | 1.516421 |
| 0.637216 | 1.516352 |
| 0.638139 | 1.516283 |
| 0.639063 | 1.516215 |
| 0.639989 | 1.516147 |
| 0.640916 | 1.516079 |
| 0.641845 | 1.516012 |
| 0.642775 | 1.515944 |
| 0.643706 | 1.515877 |
| 0.644638 | 1.51581 |
| 0.645572 | 1.515743 |
| 0.646507 | 1.515677 |
| 0.647444 | 1.515611 |
| 0.648382 | 1.515544 |
| 0.649321 | 1.515479 |
| 0.650262 | 1.515413 |
| 0.651204 | 1.515347 |
| 0.652147 | 1.515282 |
| 0.653092 | 1.515217 |
| 0.654038 | 1.515152 |
| 0.654986 | 1.515087 |
| 0.655935 | 1.515023 |
| 0.656885 | 1.514959 |
| 0.657836 | 1.514895 |
| 0.658789 | 1.514831 |
| 0.659744 | 1.514767 |
| 0.6607 | 1.514704 |
| 0.661657 | 1.51464 |
| 0.662615 | 1.514577 |
| 0.663575 | 1.514514 |
| 0.664537 | 1.514452 |
| 0.665499 | 1.514389 |
| 0.666463 | 1.514327 |
| 0.667429 | 1.514265 |
| 0.668396 | 1.514203 |
| 0.669364 | 1.514141 |
| 0.670334 | 1.51408 |
| 0.671305 | 1.514018 |
| 0.672277 | 1.513957 |
| 0.673251 | 1.513896 |
| 0.674227 | 1.513836 |
| 0.675203 | 1.513775 |
| 0.676182 | 1.513715 |
| 0.677161 | 1.513654 |
| 0.678142 | 1.513594 |
| 0.679125 | 1.513535 |
| 0.680108 | 1.513475 |
| 0.681094 | 1.513416 |
| 0.68208 | 1.513356 |
| 0.683068 | 1.513297 |
| 0.684058 | 1.513238 |
| 0.685049 | 1.51318 |
| 0.686041 | 1.513121 |
| 0.687035 | 1.513063 |
| 0.688031 | 1.513005 |
| 0.689027 | 1.512947 |
| 0.690026 | 1.512889 |
| 0.691025 | 1.512832 |
| 0.692026 | 1.512774 |
| 0.693029 | 1.512717 |
| 0.694033 | 1.51266 |
| 0.695038 | 1.512603 |
| 0.696045 | 1.512546 |
| 0.697053 | 1.51249 |
| 0.698063 | 1.512433 |
| 0.699075 | 1.512377 |
| 0.700087 | 1.512321 |
| 0.701102 | 1.512265 |
| 0.702117 | 1.51221 |
| 0.703134 | 1.512154 |
| 0.704153 | 1.512099 |
| 0.705173 | 1.512044 |
| 0.706195 | 1.511989 |
| 0.707218 | 1.511934 |
| 0.708242 | 1.511879 |
| 0.709268 | 1.511825 |
| 0.710296 | 1.511771 |
| 0.711325 | 1.511717 |
| 0.712355 | 1.511663 |
| 0.713387 | 1.511609 |
| 0.714421 | 1.511555 |
| 0.715456 | 1.511502 |
| 0.716492 | 1.511449 |
| 0.71753 | 1.511395 |
| 0.71857 | 1.511343 |
| 0.719611 | 1.51129 |
| 0.720653 | 1.511237 |
| 0.721697 | 1.511185 |
| 0.722743 | 1.511132 |
| 0.72379 | 1.51108 |
| 0.724838 | 1.511028 |
| 0.725888 | 1.510976 |
| 0.72694 | 1.510925 |
| 0.727993 | 1.510873 |
| 0.729048 | 1.510822 |
| 0.730104 | 1.510771 |
| 0.731162 | 1.51072 |
| 0.732221 | 1.510669 |
| 0.733282 | 1.510618 |
| 0.734344 | 1.510568 |
| 0.735408 | 1.510517 |
| 0.736473 | 1.510467 |
| 0.73754 | 1.510417 |
| 0.738608 | 1.510367 |
| 0.739678 | 1.510317 |
| 0.74075 | 1.510268 |
| 0.741823 | 1.510218 |
| 0.742898 | 1.510169 |
| 0.743974 | 1.51012 |
| 0.745052 | 1.510071 |
| 0.746131 | 1.510022 |
| 0.747212 | 1.509973 |
| 0.748295 | 1.509925 |
| 0.749379 | 1.509877 |
| 0.750464 | 1.509828 |
| 0.751551 | 1.50978 |
| 0.75264 | 1.509732 |
| 0.753731 | 1.509684 |
| 0.754822 | 1.509637 |
| 0.755916 | 1.509589 |
| 0.757011 | 1.509542 |
| 0.758108 | 1.509495 |
| 0.759206 | 1.509448 |
| 0.760306 | 1.509401 |
| 0.761407 | 1.509354 |
| 0.76251 | 1.509307 |
| 0.763615 | 1.509261 |
| 0.764721 | 1.509215 |
| 0.765829 | 1.509168 |
| 0.766939 | 1.509122 |
| 0.76805 | 1.509076 |
| 0.769162 | 1.509031 |
| 0.770277 | 1.508985 |
| 0.771392 | 1.508939 |
| 0.77251 | 1.508894 |
| 0.773629 | 1.508849 |
| 0.77475 | 1.508804 |
| 0.775872 | 1.508759 |
| 0.776996 | 1.508714 |
| 0.778122 | 1.508669 |
| 0.779249 | 1.508625 |
| 0.780378 | 1.508581 |
| 0.781508 | 1.508536 |
| 0.782641 | 1.508492 |
| 0.783774 | 1.508448 |
| 0.78491 | 1.508404 |
| 0.786047 | 1.508361 |
| 0.787186 | 1.508317 |
| 0.788326 | 1.508274 |
| 0.789468 | 1.50823 |
| 0.790612 | 1.508187 |
| 0.791757 | 1.508144 |
| 0.792904 | 1.508101 |
| 0.794053 | 1.508058 |
| 0.795203 | 1.508016 |
| 0.796355 | 1.507973 |
| 0.797509 | 1.507931 |
| 0.798664 | 1.507889 |
| 0.799821 | 1.507847 |
| 0.80098 | 1.507805 |
| 0.80214 | 1.507763 |
| 0.803302 | 1.507721 |
| 0.804466 | 1.507679 |
| 0.805632 | 1.507638 |
| 0.806799 | 1.507597 |
| 0.807968 | 1.507555 |
| 0.809138 | 1.507514 |
| 0.81031 | 1.507473 |
| 0.811484 | 1.507432 |
| 0.81266 | 1.507392 |
| 0.813837 | 1.507351 |
| 0.815016 | 1.507311 |
| 0.816197 | 1.50727 |
| 0.817379 | 1.50723 |
| 0.818563 | 1.50719 |
| 0.819749 | 1.50715 |
| 0.820937 | 1.50711 |
| 0.822126 | 1.50707 |
| 0.823317 | 1.507031 |
| 0.82451 | 1.506991 |
| 0.825704 | 1.506952 |
| 0.8269 | 1.506913 |
| 0.828098 | 1.506873 |
| 0.829298 | 1.506834 |
| 0.830499 | 1.506796 |
| 0.831702 | 1.506757 |
| 0.832907 | 1.506718 |
| 0.834114 | 1.50668 |
| 0.835322 | 1.506641 |
| 0.836532 | 1.506603 |
| 0.837744 | 1.506565 |
| 0.838958 | 1.506527 |
| 0.840173 | 1.506489 |
| 0.84139 | 1.506451 |
| 0.842609 | 1.506413 |
| 0.84383 | 1.506375 |
| 0.845053 | 1.506338 |
| 0.846277 | 1.506301 |
| 0.847503 | 1.506263 |
| 0.848731 | 1.506226 |
| 0.84996 | 1.506189 |
| 0.851191 | 1.506152 |
| 0.852425 | 1.506115 |
| 0.853659 | 1.506079 |
| 0.854896 | 1.506042 |
| 0.856135 | 1.506006 |
| 0.857375 | 1.505969 |
| 0.858617 | 1.505933 |
| 0.859861 | 1.505897 |
| 0.861106 | 1.505861 |
| 0.862354 | 1.505825 |
| 0.863603 | 1.505789 |
| 0.864854 | 1.505753 |
| 0.866107 | 1.505718 |
| 0.867362 | 1.505682 |
| 0.868619 | 1.505647 |
| 0.869877 | 1.505612 |
| 0.871137 | 1.505576 |
| 0.872399 | 1.505541 |
| 0.873663 | 1.505506 |
| 0.874929 | 1.505471 |
| 0.876196 | 1.505437 |
| 0.877465 | 1.505402 |
| 0.878737 | 1.505368 |
| 0.88001 | 1.505333 |
| 0.881284 | 1.505299 |
| 0.882561 | 1.505265 |
| 0.88384 | 1.50523 |
| 0.88512 | 1.505196 |
| 0.886402 | 1.505163 |
| 0.887687 | 1.505129 |
| 0.888973 | 1.505095 |
| 0.89026 | 1.505061 |
| 0.89155 | 1.505028 |
| 0.892842 | 1.504995 |
| 0.894135 | 1.504961 |
| 0.89543 | 1.504928 |
| 0.896728 | 1.504895 |
| 0.898027 | 1.504862 |
| 0.899328 | 1.504829 |
| 0.900631 | 1.504796 |
| 0.901935 | 1.504764 |
| 0.903242 | 1.504731 |
| 0.90455 | 1.504698 |
| 0.905861 | 1.504666 |
| 0.907173 | 1.504634 |
| 0.908487 | 1.504602 |
| 0.909804 | 1.504569 |
| 0.911122 | 1.504537 |
| 0.912441 | 1.504506 |
| 0.913763 | 1.504474 |
| 0.915087 | 1.504442 |
| 0.916413 | 1.50441 |
| 0.91774 | 1.504379 |
| 0.91907 | 1.504347 |
| 0.920401 | 1.504316 |
| 0.921735 | 1.504285 |
| 0.92307 | 1.504254 |
| 0.924407 | 1.504223 |
| 0.925746 | 1.504192 |
| 0.927088 | 1.504161 |
| 0.928431 | 1.50413 |
| 0.929776 | 1.504099 |
| 0.931123 | 1.504069 |
| 0.932472 | 1.504038 |
| 0.933822 | 1.504008 |
| 0.935175 | 1.503978 |
| 0.93653 | 1.503947 |
| 0.937887 | 1.503917 |
| 0.939245 | 1.503887 |
| 0.940606 | 1.503857 |
| 0.941969 | 1.503827 |
| 0.943333 | 1.503798 |
| 0.9447 | 1.503768 |
| 0.946069 | 1.503738 |
| 0.947439 | 1.503709 |
| 0.948812 | 1.503679 |
| 0.950186 | 1.50365 |
| 0.951563 | 1.503621 |
| 0.952941 | 1.503592 |
| 0.954322 | 1.503563 |
| 0.955704 | 1.503534 |
| 0.957089 | 1.503505 |
| 0.958475 | 1.503476 |
| 0.959864 | 1.503447 |
| 0.961254 | 1.503419 |
| 0.962647 | 1.50339 |
| 0.964042 | 1.503362 |
| 0.965438 | 1.503333 |
| 0.966837 | 1.503305 |
| 0.968237 | 1.503277 |
| 0.96964 | 1.503249 |
| 0.971045 | 1.503221 |
| 0.972452 | 1.503193 |
| 0.97386 | 1.503165 |
| 0.975271 | 1.503137 |
| 0.976684 | 1.50311 |
| 0.978099 | 1.503082 |
| 0.979516 | 1.503054 |
| 0.980935 | 1.503027 |
| 0.982356 | 1.503 |
| 0.983779 | 1.502972 |
| 0.985204 | 1.502945 |
| 0.986632 | 1.502918 |
| 0.988061 | 1.502891 |
| 0.989492 | 1.502864 |
| 0.990926 | 1.502837 |
| 0.992361 | 1.502811 |
| 0.993799 | 1.502784 |
| 0.995239 | 1.502757 |
| 0.99668 | 1.502731 |
| 0.998124 | 1.502704 |
| 0.99957 | 1.502678 |
| 1.00102 | 1.502652 |
| 1.00247 | 1.502625 |
| 1.00392 | 1.502599 |
| 1.00538 | 1.502573 |
| 1.00683 | 1.502547 |
| 1.00829 | 1.502521 |
| 1.00975 | 1.502495 |
| 1.01121 | 1.50247 |
| 1.01268 | 1.502444 |
| 1.01415 | 1.502418 |
| 1.01562 | 1.502393 |
| 1.01709 | 1.502367 |
| 1.01856 | 1.502342 |
| 1.02004 | 1.502317 |
| 1.02151 | 1.502291 |
| 1.02299 | 1.502266 |
| 1.02447 | 1.502241 |
| 1.02596 | 1.502216 |
| 1.02745 | 1.502191 |
| 1.02893 | 1.502167 |
| 1.03042 | 1.502142 |
| 1.03192 | 1.502117 |
| 1.03341 | 1.502092 |
| 1.03491 | 1.502068 |
| 1.03641 | 1.502043 |
| 1.03791 | 1.502019 |
| 1.03941 | 1.501995 |
| 1.04092 | 1.50197 |
| 1.04243 | 1.501946 |
| 1.04394 | 1.501922 |
| 1.04545 | 1.501898 |
| 1.04696 | 1.501874 |
| 1.04848 | 1.50185 |
| 1.05 | 1.501826 |
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
- —
20 °C