Optical constants
Refractive index of C8H10 (Xylene)
Li et al. 2022: para-Xylene (PX); n 0.226–1.7 µm
- Data
- formula 5
- Range
- 0.226–1.7 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.49958
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.24874
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 26.592
- Chromatic dispersion dn/dλ
- -0.0996525 µm⁻¹
- Group index ng
- 1.55813
- Group velocity dispersion
- 147.779 fs²/mm
- Dispersion parameter D
- -806.213 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
# C8H10 (Xylene): Li et al. 2022: para-Xylene (PX); n 0.226–1.7 µm
c8h10 = ls.fetch_refractiveindex("organic", "xylene", "Li", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c8h10.range_nm) # (226, 1700) nm
eps = c8h10.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_91e0c0c282bc/lightsmith"
c8h10 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c8h10.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (xylene/li-2022).
# ... load c8h10 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c8h10)],
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"]).
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 0.226 to 1.7 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.4641 |
| C2 | 0.01508 |
| C3 | -2.0 |
| C4 | -0.001215 |
| C5 | -4.0 |
| C6 | 8.213e-05 |
| C7 | -6.0 |
Comments and conditions
References
- doi:10.1016/j.infrared.2022.104313 Ellipsometry-transmission measurement of the complex refractive indices for a series of organic solvents in the 200–1700 nm spectral range, Infrared Physics & Technology (2022)
Cite
Xiaoning Li, Chengchao Wang, Lanxin Ma and Linhua Liu. Ellipsometry-transmission measurement of the complex refractive indices for a series of organic solvents in the 200–1700 nm spectral range. Infrared Physics & Technology, 125, 104313 (2022), doi:10.1016/j.infrared.2022.104313; 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 |
|---|---|
| 0.226 | 1.909991 |
| 0.227146 | 1.897924 |
| 0.228297 | 1.886251 |
| 0.229455 | 1.874959 |
| 0.230618 | 1.864035 |
| 0.231788 | 1.853466 |
| 0.232963 | 1.843242 |
| 0.234144 | 1.833351 |
| 0.235331 | 1.823781 |
| 0.236524 | 1.814522 |
| 0.237723 | 1.805564 |
| 0.238929 | 1.796896 |
| 0.24014 | 1.78851 |
| 0.241358 | 1.780395 |
| 0.242581 | 1.772542 |
| 0.243811 | 1.764944 |
| 0.245047 | 1.75759 |
| 0.24629 | 1.750474 |
| 0.247538 | 1.743586 |
| 0.248793 | 1.736921 |
| 0.250055 | 1.730469 |
| 0.251323 | 1.724224 |
| 0.252597 | 1.718179 |
| 0.253878 | 1.712327 |
| 0.255165 | 1.706662 |
| 0.256458 | 1.701178 |
| 0.257759 | 1.695867 |
| 0.259066 | 1.690725 |
| 0.260379 | 1.685746 |
| 0.261699 | 1.680924 |
| 0.263026 | 1.676254 |
| 0.26436 | 1.671731 |
| 0.2657 | 1.66735 |
| 0.267047 | 1.663105 |
| 0.268401 | 1.658994 |
| 0.269762 | 1.65501 |
| 0.271129 | 1.651149 |
| 0.272504 | 1.647408 |
| 0.273886 | 1.643782 |
| 0.275274 | 1.640268 |
| 0.27667 | 1.636861 |
| 0.278073 | 1.633558 |
| 0.279483 | 1.630355 |
| 0.2809 | 1.62725 |
| 0.282324 | 1.624238 |
| 0.283755 | 1.621316 |
| 0.285194 | 1.618482 |
| 0.28664 | 1.615732 |
| 0.288093 | 1.613063 |
| 0.289554 | 1.610474 |
| 0.291022 | 1.60796 |
| 0.292497 | 1.60552 |
| 0.29398 | 1.60315 |
| 0.295471 | 1.600849 |
| 0.296969 | 1.598614 |
| 0.298475 | 1.596443 |
| 0.299988 | 1.594333 |
| 0.301509 | 1.592283 |
| 0.303037 | 1.590291 |
| 0.304574 | 1.588354 |
| 0.306118 | 1.58647 |
| 0.30767 | 1.584639 |
| 0.30923 | 1.582857 |
| 0.310798 | 1.581124 |
| 0.312374 | 1.579437 |
| 0.313957 | 1.577795 |
| 0.315549 | 1.576196 |
| 0.317149 | 1.57464 |
| 0.318757 | 1.573124 |
| 0.320373 | 1.571647 |
| 0.321997 | 1.570208 |
| 0.32363 | 1.568805 |
| 0.325271 | 1.567438 |
| 0.32692 | 1.566104 |
| 0.328577 | 1.564804 |
| 0.330243 | 1.563535 |
| 0.331918 | 1.562297 |
| 0.333601 | 1.561088 |
| 0.335292 | 1.559908 |
| 0.336992 | 1.558756 |
| 0.3387 | 1.55763 |
| 0.340418 | 1.55653 |
| 0.342144 | 1.555455 |
| 0.343878 | 1.554404 |
| 0.345622 | 1.553376 |
| 0.347374 | 1.552371 |
| 0.349135 | 1.551387 |
| 0.350906 | 1.550424 |
| 0.352685 | 1.549482 |
| 0.354473 | 1.548559 |
| 0.35627 | 1.547655 |
| 0.358076 | 1.546769 |
| 0.359892 | 1.545901 |
| 0.361716 | 1.54505 |
| 0.36355 | 1.544216 |
| 0.365394 | 1.543397 |
| 0.367246 | 1.542594 |
| 0.369108 | 1.541806 |
| 0.37098 | 1.541032 |
| 0.37286 | 1.540272 |
| 0.374751 | 1.539526 |
| 0.376651 | 1.538793 |
| 0.378561 | 1.538072 |
| 0.38048 | 1.537364 |
| 0.382409 | 1.536668 |
| 0.384348 | 1.535983 |
| 0.386296 | 1.535309 |
| 0.388255 | 1.534646 |
| 0.390223 | 1.533993 |
| 0.392202 | 1.533351 |
| 0.39419 | 1.532718 |
| 0.396189 | 1.532095 |
| 0.398198 | 1.531481 |
| 0.400217 | 1.530876 |
| 0.402246 | 1.53028 |
| 0.404285 | 1.529692 |
| 0.406335 | 1.529112 |
| 0.408395 | 1.52854 |
| 0.410466 | 1.527975 |
| 0.412547 | 1.527419 |
| 0.414638 | 1.526869 |
| 0.416741 | 1.526326 |
| 0.418854 | 1.525791 |
| 0.420977 | 1.525262 |
| 0.423112 | 1.524739 |
| 0.425257 | 1.524223 |
| 0.427413 | 1.523712 |
| 0.42958 | 1.523208 |
| 0.431758 | 1.52271 |
| 0.433947 | 1.522217 |
| 0.436147 | 1.521729 |
| 0.438358 | 1.521247 |
| 0.440581 | 1.520771 |
| 0.442815 | 1.520299 |
| 0.44506 | 1.519832 |
| 0.447316 | 1.51937 |
| 0.449584 | 1.518913 |
| 0.451864 | 1.518461 |
| 0.454155 | 1.518013 |
| 0.456457 | 1.517569 |
| 0.458771 | 1.51713 |
| 0.461097 | 1.516695 |
| 0.463435 | 1.516264 |
| 0.465785 | 1.515837 |
| 0.468146 | 1.515414 |
| 0.47052 | 1.514995 |
| 0.472906 | 1.51458 |
| 0.475303 | 1.514168 |
| 0.477713 | 1.51376 |
| 0.480135 | 1.513356 |
| 0.482569 | 1.512955 |
| 0.485016 | 1.512558 |
| 0.487475 | 1.512164 |
| 0.489947 | 1.511773 |
| 0.492431 | 1.511386 |
| 0.494927 | 1.511001 |
| 0.497437 | 1.51062 |
| 0.499959 | 1.510242 |
| 0.502494 | 1.509868 |
| 0.505041 | 1.509496 |
| 0.507602 | 1.509127 |
| 0.510175 | 1.508761 |
| 0.512762 | 1.508398 |
| 0.515362 | 1.508037 |
| 0.517975 | 1.50768 |
| 0.520601 | 1.507325 |
| 0.52324 | 1.506973 |
| 0.525893 | 1.506624 |
| 0.52856 | 1.506277 |
| 0.531239 | 1.505933 |
| 0.533933 | 1.505592 |
| 0.53664 | 1.505253 |
| 0.539361 | 1.504917 |
| 0.542095 | 1.504583 |
| 0.544844 | 1.504251 |
| 0.547606 | 1.503922 |
| 0.550383 | 1.503596 |
| 0.553173 | 1.503272 |
| 0.555978 | 1.50295 |
| 0.558796 | 1.50263 |
| 0.56163 | 1.502313 |
| 0.564477 | 1.501999 |
| 0.567339 | 1.501686 |
| 0.570216 | 1.501376 |
| 0.573107 | 1.501068 |
| 0.576012 | 1.500762 |
| 0.578933 | 1.500458 |
| 0.581868 | 1.500157 |
| 0.584818 | 1.499858 |
| 0.587783 | 1.499561 |
| 0.590763 | 1.499266 |
| 0.593758 | 1.498973 |
| 0.596769 | 1.498682 |
| 0.599794 | 1.498394 |
| 0.602835 | 1.498107 |
| 0.605892 | 1.497823 |
| 0.608964 | 1.49754 |
| 0.612051 | 1.49726 |
| 0.615154 | 1.496981 |
| 0.618273 | 1.496705 |
| 0.621408 | 1.49643 |
| 0.624559 | 1.496158 |
| 0.627725 | 1.495887 |
| 0.630908 | 1.495619 |
| 0.634107 | 1.495352 |
| 0.637321 | 1.495088 |
| 0.640553 | 1.494825 |
| 0.6438 | 1.494564 |
| 0.647065 | 1.494305 |
| 0.650345 | 1.494048 |
| 0.653642 | 1.493793 |
| 0.656957 | 1.493539 |
| 0.660287 | 1.493288 |
| 0.663635 | 1.493038 |
| 0.667 | 1.49279 |
| 0.670381 | 1.492544 |
| 0.67378 | 1.4923 |
| 0.677196 | 1.492057 |
| 0.68063 | 1.491817 |
| 0.684081 | 1.491578 |
| 0.687549 | 1.491341 |
| 0.691035 | 1.491105 |
| 0.694539 | 1.490872 |
| 0.69806 | 1.49064 |
| 0.701599 | 1.49041 |
| 0.705156 | 1.490181 |
| 0.708732 | 1.489954 |
| 0.712325 | 1.489729 |
| 0.715936 | 1.489506 |
| 0.719566 | 1.489284 |
| 0.723214 | 1.489064 |
| 0.726881 | 1.488846 |
| 0.730567 | 1.488629 |
| 0.734271 | 1.488414 |
| 0.737993 | 1.488201 |
| 0.741735 | 1.487989 |
| 0.745496 | 1.487779 |
| 0.749275 | 1.48757 |
| 0.753074 | 1.487363 |
| 0.756892 | 1.487158 |
| 0.76073 | 1.486954 |
| 0.764587 | 1.486752 |
| 0.768463 | 1.486551 |
| 0.77236 | 1.486352 |
| 0.776276 | 1.486154 |
| 0.780211 | 1.485958 |
| 0.784167 | 1.485764 |
| 0.788143 | 1.485571 |
| 0.792139 | 1.485379 |
| 0.796155 | 1.485189 |
| 0.800192 | 1.485001 |
| 0.804249 | 1.484814 |
| 0.808326 | 1.484628 |
| 0.812424 | 1.484444 |
| 0.816543 | 1.484261 |
| 0.820683 | 1.48408 |
| 0.824844 | 1.4839 |
| 0.829026 | 1.483722 |
| 0.83323 | 1.483545 |
| 0.837454 | 1.48337 |
| 0.8417 | 1.483196 |
| 0.845968 | 1.483023 |
| 0.850257 | 1.482852 |
| 0.854568 | 1.482682 |
| 0.8589 | 1.482514 |
| 0.863255 | 1.482347 |
| 0.867632 | 1.482181 |
| 0.872031 | 1.482016 |
| 0.876452 | 1.481853 |
| 0.880896 | 1.481692 |
| 0.885362 | 1.481531 |
| 0.889851 | 1.481372 |
| 0.894362 | 1.481214 |
| 0.898897 | 1.481058 |
| 0.903454 | 1.480903 |
| 0.908035 | 1.480749 |
| 0.912639 | 1.480596 |
| 0.917266 | 1.480445 |
| 0.921916 | 1.480294 |
| 0.926591 | 1.480146 |
| 0.931288 | 1.479998 |
| 0.93601 | 1.479852 |
| 0.940756 | 1.479706 |
| 0.945525 | 1.479562 |
| 0.950319 | 1.47942 |
| 0.955138 | 1.479278 |
| 0.95998 | 1.479138 |
| 0.964847 | 1.478999 |
| 0.969739 | 1.478861 |
| 0.974656 | 1.478724 |
| 0.979597 | 1.478588 |
| 0.984564 | 1.478454 |
| 0.989556 | 1.47832 |
| 0.994573 | 1.478188 |
| 0.999616 | 1.478057 |
| 1.00468 | 1.477927 |
| 1.00978 | 1.477798 |
| 1.0149 | 1.47767 |
| 1.02004 | 1.477544 |
| 1.02521 | 1.477418 |
| 1.03041 | 1.477294 |
| 1.03564 | 1.47717 |
| 1.04089 | 1.477048 |
| 1.04616 | 1.476927 |
| 1.05147 | 1.476807 |
| 1.0568 | 1.476687 |
| 1.06216 | 1.476569 |
| 1.06754 | 1.476452 |
| 1.07296 | 1.476336 |
| 1.0784 | 1.476221 |
| 1.08386 | 1.476107 |
| 1.08936 | 1.475994 |
| 1.09488 | 1.475882 |
| 1.10043 | 1.475771 |
| 1.10601 | 1.475661 |
| 1.11162 | 1.475551 |
| 1.11726 | 1.475443 |
| 1.12292 | 1.475336 |
| 1.12861 | 1.47523 |
| 1.13434 | 1.475124 |
| 1.14009 | 1.47502 |
| 1.14587 | 1.474917 |
| 1.15168 | 1.474814 |
| 1.15752 | 1.474712 |
| 1.16338 | 1.474612 |
| 1.16928 | 1.474512 |
| 1.17521 | 1.474413 |
| 1.18117 | 1.474315 |
| 1.18716 | 1.474218 |
| 1.19318 | 1.474121 |
| 1.19923 | 1.474026 |
| 1.20531 | 1.473931 |
| 1.21142 | 1.473838 |
| 1.21756 | 1.473745 |
| 1.22373 | 1.473653 |
| 1.22994 | 1.473561 |
| 1.23617 | 1.473471 |
| 1.24244 | 1.473381 |
| 1.24874 | 1.473293 |
| 1.25507 | 1.473205 |
| 1.26143 | 1.473118 |
| 1.26783 | 1.473031 |
| 1.27426 | 1.472946 |
| 1.28072 | 1.472861 |
| 1.28721 | 1.472777 |
| 1.29374 | 1.472693 |
| 1.3003 | 1.472611 |
| 1.30689 | 1.472529 |
| 1.31352 | 1.472448 |
| 1.32018 | 1.472368 |
| 1.32687 | 1.472288 |
| 1.3336 | 1.47221 |
| 1.34036 | 1.472132 |
| 1.34715 | 1.472054 |
| 1.35398 | 1.471978 |
| 1.36085 | 1.471902 |
| 1.36775 | 1.471826 |
| 1.37468 | 1.471752 |
| 1.38165 | 1.471678 |
| 1.38866 | 1.471605 |
| 1.3957 | 1.471532 |
| 1.40277 | 1.47146 |
| 1.40989 | 1.471389 |
| 1.41704 | 1.471319 |
| 1.42422 | 1.471249 |
| 1.43144 | 1.47118 |
| 1.4387 | 1.471111 |
| 1.44599 | 1.471043 |
| 1.45332 | 1.470976 |
| 1.46069 | 1.470909 |
| 1.4681 | 1.470843 |
| 1.47554 | 1.470778 |
| 1.48302 | 1.470713 |
| 1.49054 | 1.470649 |
| 1.4981 | 1.470585 |
| 1.50569 | 1.470522 |
| 1.51333 | 1.47046 |
| 1.521 | 1.470398 |
| 1.52871 | 1.470337 |
| 1.53646 | 1.470276 |
| 1.54425 | 1.470216 |
| 1.55208 | 1.470156 |
| 1.55995 | 1.470097 |
| 1.56786 | 1.470039 |
| 1.57581 | 1.469981 |
| 1.5838 | 1.469924 |
| 1.59183 | 1.469867 |
| 1.5999 | 1.469811 |
| 1.60801 | 1.469755 |
| 1.61616 | 1.4697 |
| 1.62436 | 1.469645 |
| 1.63259 | 1.469591 |
| 1.64087 | 1.469537 |
| 1.64919 | 1.469484 |
| 1.65755 | 1.469432 |
| 1.66596 | 1.46938 |
| 1.6744 | 1.469328 |
| 1.68289 | 1.469277 |
| 1.69142 | 1.469226 |
| 1.7 | 1.469176 |
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
- —
Room temperature.