Optical constants
Refractive index of CH3OH (Methanol)
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
- 1.32774
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.76289
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 40.045
- Chromatic dispersion dn/dλ
- -0.0418201 µm⁻¹
- Group index ng
- 1.35231
- Group velocity dispersion
- 80.6104 fs²/mm
- Dispersion parameter D
- -439.773 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
# CH3OH (Methanol): Chang et al. 2024: n 0.4–2.0 µm
ch3oh = ls.fetch_refractiveindex("organic", "methanol", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch3oh.range_nm) # (400, 2000) nm
eps = ch3oh.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_44d20638e882/lightsmith"
ch3oh = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ch3oh.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (methanol/chang-2024).
# ... load ch3oh as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ch3oh)],
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_44d20638e882/lightsmith?model=drude_lorentz"
ch3oh_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 | 0.7316 |
| C3 | 0.119 |
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 | 1.342624 |
| 0.401617 | 1.342391 |
| 0.40324 | 1.34216 |
| 0.40487 | 1.341931 |
| 0.406506 | 1.341705 |
| 0.408149 | 1.34148 |
| 0.409799 | 1.341258 |
| 0.411455 | 1.341038 |
| 0.413118 | 1.340819 |
| 0.414788 | 1.340603 |
| 0.416465 | 1.340389 |
| 0.418148 | 1.340177 |
| 0.419838 | 1.339967 |
| 0.421535 | 1.339759 |
| 0.423239 | 1.339552 |
| 0.424949 | 1.339348 |
| 0.426667 | 1.339145 |
| 0.428391 | 1.338945 |
| 0.430123 | 1.338746 |
| 0.431861 | 1.338549 |
| 0.433607 | 1.338354 |
| 0.435359 | 1.338161 |
| 0.437119 | 1.337969 |
| 0.438886 | 1.337779 |
| 0.44066 | 1.337591 |
| 0.442441 | 1.337405 |
| 0.444229 | 1.33722 |
| 0.446024 | 1.337037 |
| 0.447827 | 1.336856 |
| 0.449637 | 1.336676 |
| 0.451455 | 1.336498 |
| 0.453279 | 1.336322 |
| 0.455111 | 1.336147 |
| 0.456951 | 1.335974 |
| 0.458798 | 1.335802 |
| 0.460652 | 1.335632 |
| 0.462514 | 1.335464 |
| 0.464383 | 1.335297 |
| 0.46626 | 1.335131 |
| 0.468145 | 1.334967 |
| 0.470037 | 1.334805 |
| 0.471937 | 1.334644 |
| 0.473844 | 1.334484 |
| 0.47576 | 1.334326 |
| 0.477683 | 1.334169 |
| 0.479613 | 1.334014 |
| 0.481552 | 1.33386 |
| 0.483498 | 1.333707 |
| 0.485452 | 1.333556 |
| 0.487414 | 1.333406 |
| 0.489385 | 1.333258 |
| 0.491363 | 1.333111 |
| 0.493349 | 1.332965 |
| 0.495343 | 1.33282 |
| 0.497345 | 1.332677 |
| 0.499355 | 1.332535 |
| 0.501373 | 1.332394 |
| 0.5034 | 1.332255 |
| 0.505434 | 1.332117 |
| 0.507477 | 1.331979 |
| 0.509528 | 1.331844 |
| 0.511588 | 1.331709 |
| 0.513655 | 1.331576 |
| 0.515732 | 1.331443 |
| 0.517816 | 1.331312 |
| 0.519909 | 1.331182 |
| 0.52201 | 1.331054 |
| 0.52412 | 1.330926 |
| 0.526239 | 1.3308 |
| 0.528366 | 1.330674 |
| 0.530501 | 1.33055 |
| 0.532645 | 1.330427 |
| 0.534798 | 1.330305 |
| 0.53696 | 1.330184 |
| 0.53913 | 1.330064 |
| 0.541309 | 1.329945 |
| 0.543497 | 1.329827 |
| 0.545694 | 1.32971 |
| 0.547899 | 1.329594 |
| 0.550114 | 1.329479 |
| 0.552337 | 1.329365 |
| 0.55457 | 1.329253 |
| 0.556811 | 1.329141 |
| 0.559062 | 1.32903 |
| 0.561321 | 1.32892 |
| 0.56359 | 1.328811 |
| 0.565868 | 1.328703 |
| 0.568155 | 1.328596 |
| 0.570452 | 1.32849 |
| 0.572757 | 1.328385 |
| 0.575072 | 1.32828 |
| 0.577397 | 1.328177 |
| 0.57973 | 1.328074 |
| 0.582073 | 1.327973 |
| 0.584426 | 1.327872 |
| 0.586788 | 1.327772 |
| 0.58916 | 1.327673 |
| 0.591541 | 1.327575 |
| 0.593932 | 1.327478 |
| 0.596333 | 1.327381 |
| 0.598743 | 1.327286 |
| 0.601163 | 1.327191 |
| 0.603593 | 1.327097 |
| 0.606032 | 1.327004 |
| 0.608482 | 1.326912 |
| 0.610941 | 1.32682 |
| 0.613411 | 1.326729 |
| 0.61589 | 1.326639 |
| 0.618379 | 1.32655 |
| 0.620879 | 1.326462 |
| 0.623388 | 1.326374 |
| 0.625908 | 1.326287 |
| 0.628438 | 1.326201 |
| 0.630978 | 1.326115 |
| 0.633528 | 1.326031 |
| 0.636088 | 1.325947 |
| 0.638659 | 1.325863 |
| 0.641241 | 1.325781 |
| 0.643833 | 1.325699 |
| 0.646435 | 1.325618 |
| 0.649048 | 1.325537 |
| 0.651671 | 1.325457 |
| 0.654305 | 1.325378 |
| 0.656949 | 1.3253 |
| 0.659605 | 1.325222 |
| 0.662271 | 1.325145 |
| 0.664948 | 1.325068 |
| 0.667635 | 1.324993 |
| 0.670334 | 1.324917 |
| 0.673043 | 1.324843 |
| 0.675763 | 1.324769 |
| 0.678495 | 1.324696 |
| 0.681237 | 1.324623 |
| 0.68399 | 1.324551 |
| 0.686755 | 1.32448 |
| 0.689531 | 1.324409 |
| 0.692318 | 1.324339 |
| 0.695116 | 1.324269 |
| 0.697925 | 1.3242 |
| 0.700746 | 1.324132 |
| 0.703579 | 1.324064 |
| 0.706422 | 1.323997 |
| 0.709278 | 1.32393 |
| 0.712144 | 1.323864 |
| 0.715023 | 1.323798 |
| 0.717913 | 1.323733 |
| 0.720814 | 1.323669 |
| 0.723728 | 1.323605 |
| 0.726653 | 1.323541 |
| 0.72959 | 1.323478 |
| 0.732539 | 1.323416 |
| 0.7355 | 1.323354 |
| 0.738472 | 1.323293 |
| 0.741457 | 1.323232 |
| 0.744454 | 1.323172 |
| 0.747463 | 1.323112 |
| 0.750484 | 1.323053 |
| 0.753517 | 1.322994 |
| 0.756563 | 1.322936 |
| 0.759621 | 1.322878 |
| 0.762691 | 1.322821 |
| 0.765774 | 1.322764 |
| 0.768869 | 1.322708 |
| 0.771977 | 1.322652 |
| 0.775097 | 1.322596 |
| 0.77823 | 1.322541 |
| 0.781375 | 1.322487 |
| 0.784533 | 1.322433 |
| 0.787704 | 1.322379 |
| 0.790888 | 1.322326 |
| 0.794085 | 1.322274 |
| 0.797294 | 1.322221 |
| 0.800517 | 1.32217 |
| 0.803752 | 1.322118 |
| 0.807001 | 1.322067 |
| 0.810263 | 1.322017 |
| 0.813538 | 1.321967 |
| 0.816826 | 1.321917 |
| 0.820127 | 1.321868 |
| 0.823442 | 1.321819 |
| 0.82677 | 1.32177 |
| 0.830112 | 1.321722 |
| 0.833467 | 1.321675 |
| 0.836836 | 1.321628 |
| 0.840218 | 1.321581 |
| 0.843614 | 1.321534 |
| 0.847024 | 1.321488 |
| 0.850447 | 1.321443 |
| 0.853885 | 1.321397 |
| 0.857336 | 1.321352 |
| 0.860801 | 1.321308 |
| 0.86428 | 1.321264 |
| 0.867774 | 1.32122 |
| 0.871281 | 1.321176 |
| 0.874803 | 1.321133 |
| 0.878338 | 1.321091 |
| 0.881888 | 1.321048 |
| 0.885453 | 1.321006 |
| 0.889032 | 1.320964 |
| 0.892625 | 1.320923 |
| 0.896233 | 1.320882 |
| 0.899855 | 1.320841 |
| 0.903492 | 1.320801 |
| 0.907144 | 1.320761 |
| 0.910811 | 1.320722 |
| 0.914492 | 1.320682 |
| 0.918188 | 1.320643 |
| 0.921899 | 1.320605 |
| 0.925626 | 1.320566 |
| 0.929367 | 1.320528 |
| 0.933123 | 1.32049 |
| 0.936895 | 1.320453 |
| 0.940681 | 1.320416 |
| 0.944483 | 1.320379 |
| 0.948301 | 1.320343 |
| 0.952134 | 1.320307 |
| 0.955982 | 1.320271 |
| 0.959846 | 1.320235 |
| 0.963726 | 1.3202 |
| 0.967621 | 1.320165 |
| 0.971532 | 1.32013 |
| 0.975458 | 1.320096 |
| 0.979401 | 1.320062 |
| 0.98336 | 1.320028 |
| 0.987334 | 1.319994 |
| 0.991325 | 1.319961 |
| 0.995332 | 1.319928 |
| 0.999355 | 1.319895 |
| 1.00339 | 1.319863 |
| 1.00745 | 1.31983 |
| 1.01152 | 1.319798 |
| 1.01561 | 1.319767 |
| 1.01971 | 1.319735 |
| 1.02384 | 1.319704 |
| 1.02797 | 1.319673 |
| 1.03213 | 1.319642 |
| 1.0363 | 1.319612 |
| 1.04049 | 1.319582 |
| 1.04469 | 1.319552 |
| 1.04892 | 1.319522 |
| 1.05316 | 1.319493 |
| 1.05741 | 1.319464 |
| 1.06169 | 1.319435 |
| 1.06598 | 1.319406 |
| 1.07029 | 1.319378 |
| 1.07461 | 1.319349 |
| 1.07896 | 1.319321 |
| 1.08332 | 1.319294 |
| 1.0877 | 1.319266 |
| 1.09209 | 1.319239 |
| 1.09651 | 1.319212 |
| 1.10094 | 1.319185 |
| 1.10539 | 1.319158 |
| 1.10986 | 1.319132 |
| 1.11434 | 1.319106 |
| 1.11885 | 1.31908 |
| 1.12337 | 1.319054 |
| 1.12791 | 1.319028 |
| 1.13247 | 1.319003 |
| 1.13704 | 1.318978 |
| 1.14164 | 1.318953 |
| 1.14625 | 1.318928 |
| 1.15089 | 1.318903 |
| 1.15554 | 1.318879 |
| 1.16021 | 1.318855 |
| 1.1649 | 1.318831 |
| 1.16961 | 1.318807 |
| 1.17433 | 1.318784 |
| 1.17908 | 1.31876 |
| 1.18385 | 1.318737 |
| 1.18863 | 1.318714 |
| 1.19344 | 1.318691 |
| 1.19826 | 1.318669 |
| 1.2031 | 1.318646 |
| 1.20797 | 1.318624 |
| 1.21285 | 1.318602 |
| 1.21775 | 1.31858 |
| 1.22267 | 1.318558 |
| 1.22761 | 1.318537 |
| 1.23258 | 1.318516 |
| 1.23756 | 1.318494 |
| 1.24256 | 1.318473 |
| 1.24758 | 1.318453 |
| 1.25262 | 1.318432 |
| 1.25769 | 1.318412 |
| 1.26277 | 1.318391 |
| 1.26787 | 1.318371 |
| 1.273 | 1.318351 |
| 1.27814 | 1.318331 |
| 1.28331 | 1.318312 |
| 1.2885 | 1.318292 |
| 1.2937 | 1.318273 |
| 1.29893 | 1.318254 |
| 1.30418 | 1.318234 |
| 1.30945 | 1.318216 |
| 1.31475 | 1.318197 |
| 1.32006 | 1.318178 |
| 1.3254 | 1.31816 |
| 1.33075 | 1.318142 |
| 1.33613 | 1.318124 |
| 1.34153 | 1.318106 |
| 1.34696 | 1.318088 |
| 1.3524 | 1.31807 |
| 1.35787 | 1.318053 |
| 1.36335 | 1.318035 |
| 1.36886 | 1.318018 |
| 1.3744 | 1.318001 |
| 1.37995 | 1.317984 |
| 1.38553 | 1.317967 |
| 1.39113 | 1.31795 |
| 1.39675 | 1.317934 |
| 1.4024 | 1.317917 |
| 1.40807 | 1.317901 |
| 1.41376 | 1.317885 |
| 1.41947 | 1.317869 |
| 1.42521 | 1.317853 |
| 1.43097 | 1.317837 |
| 1.43675 | 1.317822 |
| 1.44256 | 1.317806 |
| 1.44839 | 1.317791 |
| 1.45424 | 1.317775 |
| 1.46012 | 1.31776 |
| 1.46602 | 1.317745 |
| 1.47195 | 1.31773 |
| 1.4779 | 1.317716 |
| 1.48387 | 1.317701 |
| 1.48987 | 1.317686 |
| 1.49589 | 1.317672 |
| 1.50194 | 1.317658 |
| 1.50801 | 1.317643 |
| 1.5141 | 1.317629 |
| 1.52022 | 1.317615 |
| 1.52637 | 1.317602 |
| 1.53254 | 1.317588 |
| 1.53873 | 1.317574 |
| 1.54495 | 1.317561 |
| 1.55119 | 1.317547 |
| 1.55746 | 1.317534 |
| 1.56376 | 1.317521 |
| 1.57008 | 1.317508 |
| 1.57643 | 1.317495 |
| 1.5828 | 1.317482 |
| 1.58919 | 1.317469 |
| 1.59562 | 1.317457 |
| 1.60207 | 1.317444 |
| 1.60854 | 1.317432 |
| 1.61504 | 1.317419 |
| 1.62157 | 1.317407 |
| 1.62813 | 1.317395 |
| 1.63471 | 1.317383 |
| 1.64131 | 1.317371 |
| 1.64795 | 1.317359 |
| 1.65461 | 1.317347 |
| 1.6613 | 1.317336 |
| 1.66801 | 1.317324 |
| 1.67475 | 1.317313 |
| 1.68152 | 1.317301 |
| 1.68832 | 1.31729 |
| 1.69514 | 1.317279 |
| 1.70199 | 1.317268 |
| 1.70887 | 1.317257 |
| 1.71578 | 1.317246 |
| 1.72271 | 1.317235 |
| 1.72968 | 1.317224 |
| 1.73667 | 1.317213 |
| 1.74369 | 1.317203 |
| 1.75074 | 1.317192 |
| 1.75781 | 1.317182 |
| 1.76492 | 1.317172 |
| 1.77205 | 1.317161 |
| 1.77921 | 1.317151 |
| 1.7864 | 1.317141 |
| 1.79362 | 1.317131 |
| 1.80087 | 1.317121 |
| 1.80815 | 1.317111 |
| 1.81546 | 1.317102 |
| 1.8228 | 1.317092 |
| 1.83017 | 1.317082 |
| 1.83756 | 1.317073 |
| 1.84499 | 1.317063 |
| 1.85245 | 1.317054 |
| 1.85993 | 1.317045 |
| 1.86745 | 1.317036 |
| 1.875 | 1.317027 |
| 1.88258 | 1.317017 |
| 1.89019 | 1.317008 |
| 1.89783 | 1.317 |
| 1.9055 | 1.316991 |
| 1.9132 | 1.316982 |
| 1.92093 | 1.316973 |
| 1.9287 | 1.316965 |
| 1.93649 | 1.316956 |
| 1.94432 | 1.316948 |
| 1.95218 | 1.316939 |
| 1.96007 | 1.316931 |
| 1.96799 | 1.316922 |
| 1.97594 | 1.316914 |
| 1.98393 | 1.316906 |
| 1.99195 | 1.316898 |
| 2 | 1.31689 |
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