Optical constants
Refractive index of C8H10 (Xylene)
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
- 1.49438
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.23318
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 33.236
- Chromatic dispersion dn/dλ
- -0.0758336 µm⁻¹
- Group index ng
- 1.53894
- Group velocity dispersion
- 147.732 fs²/mm
- Dispersion parameter D
- -805.955 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): Chang et al. 2024: n 0.4–2.0 µm
c8h10 = ls.fetch_refractiveindex("organic", "xylene", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c8h10.range_nm) # (400, 2000) 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_7756cd2c929b/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/chang-2024).
# ... 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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_7756cd2c929b/lightsmith?model=drude_lorentz"
c8h10_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 | 1.17 |
| C3 | 0.133 |
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 | 1.521653 |
| 0.401617 | 1.521222 |
| 0.40324 | 1.520795 |
| 0.40487 | 1.520372 |
| 0.406506 | 1.519953 |
| 0.408149 | 1.519538 |
| 0.409799 | 1.519127 |
| 0.411455 | 1.518721 |
| 0.413118 | 1.518318 |
| 0.414788 | 1.517919 |
| 0.416465 | 1.517523 |
| 0.418148 | 1.517132 |
| 0.419838 | 1.516744 |
| 0.421535 | 1.51636 |
| 0.423239 | 1.51598 |
| 0.424949 | 1.515603 |
| 0.426667 | 1.51523 |
| 0.428391 | 1.514861 |
| 0.430123 | 1.514495 |
| 0.431861 | 1.514132 |
| 0.433607 | 1.513773 |
| 0.435359 | 1.513417 |
| 0.437119 | 1.513065 |
| 0.438886 | 1.512716 |
| 0.44066 | 1.51237 |
| 0.442441 | 1.512028 |
| 0.444229 | 1.511689 |
| 0.446024 | 1.511352 |
| 0.447827 | 1.51102 |
| 0.449637 | 1.51069 |
| 0.451455 | 1.510363 |
| 0.453279 | 1.510039 |
| 0.455111 | 1.509719 |
| 0.456951 | 1.509401 |
| 0.458798 | 1.509086 |
| 0.460652 | 1.508775 |
| 0.462514 | 1.508466 |
| 0.464383 | 1.50816 |
| 0.46626 | 1.507856 |
| 0.468145 | 1.507556 |
| 0.470037 | 1.507258 |
| 0.471937 | 1.506964 |
| 0.473844 | 1.506671 |
| 0.47576 | 1.506382 |
| 0.477683 | 1.506095 |
| 0.479613 | 1.505811 |
| 0.481552 | 1.50553 |
| 0.483498 | 1.505251 |
| 0.485452 | 1.504974 |
| 0.487414 | 1.5047 |
| 0.489385 | 1.504429 |
| 0.491363 | 1.50416 |
| 0.493349 | 1.503894 |
| 0.495343 | 1.50363 |
| 0.497345 | 1.503368 |
| 0.499355 | 1.503109 |
| 0.501373 | 1.502852 |
| 0.5034 | 1.502597 |
| 0.505434 | 1.502345 |
| 0.507477 | 1.502095 |
| 0.509528 | 1.501848 |
| 0.511588 | 1.501602 |
| 0.513655 | 1.501359 |
| 0.515732 | 1.501118 |
| 0.517816 | 1.500879 |
| 0.519909 | 1.500642 |
| 0.52201 | 1.500408 |
| 0.52412 | 1.500175 |
| 0.526239 | 1.499945 |
| 0.528366 | 1.499717 |
| 0.530501 | 1.49949 |
| 0.532645 | 1.499266 |
| 0.534798 | 1.499044 |
| 0.53696 | 1.498824 |
| 0.53913 | 1.498605 |
| 0.541309 | 1.498389 |
| 0.543497 | 1.498175 |
| 0.545694 | 1.497962 |
| 0.547899 | 1.497751 |
| 0.550114 | 1.497543 |
| 0.552337 | 1.497336 |
| 0.55457 | 1.497131 |
| 0.556811 | 1.496928 |
| 0.559062 | 1.496726 |
| 0.561321 | 1.496527 |
| 0.56359 | 1.496329 |
| 0.565868 | 1.496133 |
| 0.568155 | 1.495938 |
| 0.570452 | 1.495746 |
| 0.572757 | 1.495555 |
| 0.575072 | 1.495365 |
| 0.577397 | 1.495178 |
| 0.57973 | 1.494992 |
| 0.582073 | 1.494808 |
| 0.584426 | 1.494625 |
| 0.586788 | 1.494444 |
| 0.58916 | 1.494264 |
| 0.591541 | 1.494086 |
| 0.593932 | 1.49391 |
| 0.596333 | 1.493735 |
| 0.598743 | 1.493562 |
| 0.601163 | 1.49339 |
| 0.603593 | 1.49322 |
| 0.606032 | 1.493051 |
| 0.608482 | 1.492884 |
| 0.610941 | 1.492718 |
| 0.613411 | 1.492554 |
| 0.61589 | 1.492391 |
| 0.618379 | 1.492229 |
| 0.620879 | 1.492069 |
| 0.623388 | 1.49191 |
| 0.625908 | 1.491753 |
| 0.628438 | 1.491597 |
| 0.630978 | 1.491442 |
| 0.633528 | 1.491289 |
| 0.636088 | 1.491137 |
| 0.638659 | 1.490986 |
| 0.641241 | 1.490837 |
| 0.643833 | 1.490689 |
| 0.646435 | 1.490542 |
| 0.649048 | 1.490397 |
| 0.651671 | 1.490252 |
| 0.654305 | 1.490109 |
| 0.656949 | 1.489968 |
| 0.659605 | 1.489827 |
| 0.662271 | 1.489688 |
| 0.664948 | 1.48955 |
| 0.667635 | 1.489413 |
| 0.670334 | 1.489277 |
| 0.673043 | 1.489142 |
| 0.675763 | 1.489009 |
| 0.678495 | 1.488877 |
| 0.681237 | 1.488745 |
| 0.68399 | 1.488615 |
| 0.686755 | 1.488486 |
| 0.689531 | 1.488359 |
| 0.692318 | 1.488232 |
| 0.695116 | 1.488106 |
| 0.697925 | 1.487982 |
| 0.700746 | 1.487858 |
| 0.703579 | 1.487736 |
| 0.706422 | 1.487614 |
| 0.709278 | 1.487494 |
| 0.712144 | 1.487375 |
| 0.715023 | 1.487256 |
| 0.717913 | 1.487139 |
| 0.720814 | 1.487023 |
| 0.723728 | 1.486908 |
| 0.726653 | 1.486793 |
| 0.72959 | 1.48668 |
| 0.732539 | 1.486567 |
| 0.7355 | 1.486456 |
| 0.738472 | 1.486346 |
| 0.741457 | 1.486236 |
| 0.744454 | 1.486127 |
| 0.747463 | 1.48602 |
| 0.750484 | 1.485913 |
| 0.753517 | 1.485807 |
| 0.756563 | 1.485702 |
| 0.759621 | 1.485598 |
| 0.762691 | 1.485495 |
| 0.765774 | 1.485392 |
| 0.768869 | 1.485291 |
| 0.771977 | 1.48519 |
| 0.775097 | 1.485091 |
| 0.77823 | 1.484992 |
| 0.781375 | 1.484894 |
| 0.784533 | 1.484796 |
| 0.787704 | 1.4847 |
| 0.790888 | 1.484604 |
| 0.794085 | 1.48451 |
| 0.797294 | 1.484416 |
| 0.800517 | 1.484322 |
| 0.803752 | 1.48423 |
| 0.807001 | 1.484138 |
| 0.810263 | 1.484047 |
| 0.813538 | 1.483957 |
| 0.816826 | 1.483868 |
| 0.820127 | 1.483779 |
| 0.823442 | 1.483691 |
| 0.82677 | 1.483604 |
| 0.830112 | 1.483518 |
| 0.833467 | 1.483432 |
| 0.836836 | 1.483347 |
| 0.840218 | 1.483263 |
| 0.843614 | 1.48318 |
| 0.847024 | 1.483097 |
| 0.850447 | 1.483015 |
| 0.853885 | 1.482933 |
| 0.857336 | 1.482852 |
| 0.860801 | 1.482772 |
| 0.86428 | 1.482693 |
| 0.867774 | 1.482614 |
| 0.871281 | 1.482536 |
| 0.874803 | 1.482459 |
| 0.878338 | 1.482382 |
| 0.881888 | 1.482306 |
| 0.885453 | 1.48223 |
| 0.889032 | 1.482155 |
| 0.892625 | 1.482081 |
| 0.896233 | 1.482007 |
| 0.899855 | 1.481934 |
| 0.903492 | 1.481862 |
| 0.907144 | 1.48179 |
| 0.910811 | 1.481719 |
| 0.914492 | 1.481648 |
| 0.918188 | 1.481578 |
| 0.921899 | 1.481509 |
| 0.925626 | 1.48144 |
| 0.929367 | 1.481372 |
| 0.933123 | 1.481304 |
| 0.936895 | 1.481237 |
| 0.940681 | 1.48117 |
| 0.944483 | 1.481104 |
| 0.948301 | 1.481039 |
| 0.952134 | 1.480974 |
| 0.955982 | 1.480909 |
| 0.959846 | 1.480846 |
| 0.963726 | 1.480782 |
| 0.967621 | 1.480719 |
| 0.971532 | 1.480657 |
| 0.975458 | 1.480595 |
| 0.979401 | 1.480534 |
| 0.98336 | 1.480473 |
| 0.987334 | 1.480413 |
| 0.991325 | 1.480353 |
| 0.995332 | 1.480294 |
| 0.999355 | 1.480235 |
| 1.00339 | 1.480177 |
| 1.00745 | 1.480119 |
| 1.01152 | 1.480062 |
| 1.01561 | 1.480005 |
| 1.01971 | 1.479949 |
| 1.02384 | 1.479893 |
| 1.02797 | 1.479837 |
| 1.03213 | 1.479782 |
| 1.0363 | 1.479728 |
| 1.04049 | 1.479674 |
| 1.04469 | 1.47962 |
| 1.04892 | 1.479567 |
| 1.05316 | 1.479514 |
| 1.05741 | 1.479462 |
| 1.06169 | 1.47941 |
| 1.06598 | 1.479358 |
| 1.07029 | 1.479307 |
| 1.07461 | 1.479257 |
| 1.07896 | 1.479207 |
| 1.08332 | 1.479157 |
| 1.0877 | 1.479107 |
| 1.09209 | 1.479059 |
| 1.09651 | 1.47901 |
| 1.10094 | 1.478962 |
| 1.10539 | 1.478914 |
| 1.10986 | 1.478867 |
| 1.11434 | 1.47882 |
| 1.11885 | 1.478773 |
| 1.12337 | 1.478727 |
| 1.12791 | 1.478681 |
| 1.13247 | 1.478636 |
| 1.13704 | 1.478591 |
| 1.14164 | 1.478546 |
| 1.14625 | 1.478501 |
| 1.15089 | 1.478458 |
| 1.15554 | 1.478414 |
| 1.16021 | 1.478371 |
| 1.1649 | 1.478328 |
| 1.16961 | 1.478285 |
| 1.17433 | 1.478243 |
| 1.17908 | 1.478201 |
| 1.18385 | 1.47816 |
| 1.18863 | 1.478118 |
| 1.19344 | 1.478078 |
| 1.19826 | 1.478037 |
| 1.2031 | 1.477997 |
| 1.20797 | 1.477957 |
| 1.21285 | 1.477918 |
| 1.21775 | 1.477879 |
| 1.22267 | 1.47784 |
| 1.22761 | 1.477801 |
| 1.23258 | 1.477763 |
| 1.23756 | 1.477725 |
| 1.24256 | 1.477687 |
| 1.24758 | 1.47765 |
| 1.25262 | 1.477613 |
| 1.25769 | 1.477576 |
| 1.26277 | 1.47754 |
| 1.26787 | 1.477504 |
| 1.273 | 1.477468 |
| 1.27814 | 1.477433 |
| 1.28331 | 1.477397 |
| 1.2885 | 1.477363 |
| 1.2937 | 1.477328 |
| 1.29893 | 1.477294 |
| 1.30418 | 1.47726 |
| 1.30945 | 1.477226 |
| 1.31475 | 1.477192 |
| 1.32006 | 1.477159 |
| 1.3254 | 1.477126 |
| 1.33075 | 1.477093 |
| 1.33613 | 1.477061 |
| 1.34153 | 1.477029 |
| 1.34696 | 1.476997 |
| 1.3524 | 1.476965 |
| 1.35787 | 1.476934 |
| 1.36335 | 1.476903 |
| 1.36886 | 1.476872 |
| 1.3744 | 1.476841 |
| 1.37995 | 1.476811 |
| 1.38553 | 1.476781 |
| 1.39113 | 1.476751 |
| 1.39675 | 1.476721 |
| 1.4024 | 1.476692 |
| 1.40807 | 1.476663 |
| 1.41376 | 1.476634 |
| 1.41947 | 1.476605 |
| 1.42521 | 1.476577 |
| 1.43097 | 1.476548 |
| 1.43675 | 1.47652 |
| 1.44256 | 1.476493 |
| 1.44839 | 1.476465 |
| 1.45424 | 1.476438 |
| 1.46012 | 1.476411 |
| 1.46602 | 1.476384 |
| 1.47195 | 1.476357 |
| 1.4779 | 1.476331 |
| 1.48387 | 1.476305 |
| 1.48987 | 1.476279 |
| 1.49589 | 1.476253 |
| 1.50194 | 1.476227 |
| 1.50801 | 1.476202 |
| 1.5141 | 1.476177 |
| 1.52022 | 1.476152 |
| 1.52637 | 1.476127 |
| 1.53254 | 1.476103 |
| 1.53873 | 1.476078 |
| 1.54495 | 1.476054 |
| 1.55119 | 1.47603 |
| 1.55746 | 1.476006 |
| 1.56376 | 1.475983 |
| 1.57008 | 1.475959 |
| 1.57643 | 1.475936 |
| 1.5828 | 1.475913 |
| 1.58919 | 1.47589 |
| 1.59562 | 1.475868 |
| 1.60207 | 1.475845 |
| 1.60854 | 1.475823 |
| 1.61504 | 1.475801 |
| 1.62157 | 1.475779 |
| 1.62813 | 1.475757 |
| 1.63471 | 1.475736 |
| 1.64131 | 1.475715 |
| 1.64795 | 1.475693 |
| 1.65461 | 1.475672 |
| 1.6613 | 1.475651 |
| 1.66801 | 1.475631 |
| 1.67475 | 1.47561 |
| 1.68152 | 1.47559 |
| 1.68832 | 1.47557 |
| 1.69514 | 1.47555 |
| 1.70199 | 1.47553 |
| 1.70887 | 1.47551 |
| 1.71578 | 1.475491 |
| 1.72271 | 1.475471 |
| 1.72968 | 1.475452 |
| 1.73667 | 1.475433 |
| 1.74369 | 1.475414 |
| 1.75074 | 1.475395 |
| 1.75781 | 1.475377 |
| 1.76492 | 1.475358 |
| 1.77205 | 1.47534 |
| 1.77921 | 1.475322 |
| 1.7864 | 1.475304 |
| 1.79362 | 1.475286 |
| 1.80087 | 1.475268 |
| 1.80815 | 1.475251 |
| 1.81546 | 1.475233 |
| 1.8228 | 1.475216 |
| 1.83017 | 1.475199 |
| 1.83756 | 1.475182 |
| 1.84499 | 1.475165 |
| 1.85245 | 1.475148 |
| 1.85993 | 1.475132 |
| 1.86745 | 1.475115 |
| 1.875 | 1.475099 |
| 1.88258 | 1.475083 |
| 1.89019 | 1.475067 |
| 1.89783 | 1.475051 |
| 1.9055 | 1.475035 |
| 1.9132 | 1.475019 |
| 1.92093 | 1.475004 |
| 1.9287 | 1.474988 |
| 1.93649 | 1.474973 |
| 1.94432 | 1.474958 |
| 1.95218 | 1.474943 |
| 1.96007 | 1.474928 |
| 1.96799 | 1.474913 |
| 1.97594 | 1.474898 |
| 1.98393 | 1.474884 |
| 1.99195 | 1.474869 |
| 2 | 1.474855 |
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
- —
p-Xylene. 21.5–22.0 °C