Optical constants
Refractive index of CH3OH (Methanol)
Moutzouris et al. 2013: n 0.450–1.55 µm
- Data
- formula 3
- Range
- 0.45–1.551 µm
- Temperature
- 300 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.32701
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.76097
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 59.596
- Chromatic dispersion dn/dλ
- -0.0278797 µm⁻¹
- Group index ng
- 1.3434
- Group velocity dispersion
- 53.4368 fs²/mm
- Dispersion parameter D
- -291.526 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): Moutzouris et al. 2013: n 0.450–1.55 µm
ch3oh = ls.fetch_refractiveindex("organic", "methanol", "Moutzouris", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch3oh.range_nm) # (450, 1551) 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_4fba94db7119/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/moutzouris-2013).
# ... 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=450, 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
Polynomial (formula 3), λ in µmValid from 0.45 to 1.551 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.745946239 |
| C2 | -0.005362181 |
| C3 | 2.0 |
| C4 | 0.004656355 |
| C5 | -2.0 |
| C6 | 0.00044714 |
| C7 | -4.0 |
| C8 | -1.5087e-05 |
| C9 | -6.0 |
Comments and conditions
Conditions
- temperature
- 300 K
References
- doi:10.1007/s00340-013-5744-3 Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared, Applied Physics B (2013)
Cite
Konstantinos Moutzouris et al.. Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared. Applied Physics B, 116, 617-622 (2013), doi:10.1007/s00340-013-5744-3; 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 |
|---|---|
| 0.45 | 1.33302 |
| 0.451398 | 1.332926 |
| 0.4528 | 1.332833 |
| 0.454206 | 1.332741 |
| 0.455617 | 1.332649 |
| 0.457032 | 1.332558 |
| 0.458452 | 1.332468 |
| 0.459876 | 1.332378 |
| 0.461304 | 1.332289 |
| 0.462737 | 1.332201 |
| 0.464174 | 1.332113 |
| 0.465616 | 1.332026 |
| 0.467062 | 1.33194 |
| 0.468513 | 1.331854 |
| 0.469968 | 1.331769 |
| 0.471428 | 1.331685 |
| 0.472892 | 1.331601 |
| 0.474361 | 1.331518 |
| 0.475835 | 1.331435 |
| 0.477313 | 1.331353 |
| 0.478795 | 1.331272 |
| 0.480282 | 1.331191 |
| 0.481774 | 1.331111 |
| 0.483271 | 1.331031 |
| 0.484772 | 1.330952 |
| 0.486277 | 1.330874 |
| 0.487788 | 1.330796 |
| 0.489303 | 1.330719 |
| 0.490823 | 1.330642 |
| 0.492347 | 1.330566 |
| 0.493877 | 1.33049 |
| 0.495411 | 1.330415 |
| 0.496949 | 1.330341 |
| 0.498493 | 1.330267 |
| 0.500041 | 1.330193 |
| 0.501595 | 1.330121 |
| 0.503153 | 1.330048 |
| 0.504715 | 1.329976 |
| 0.506283 | 1.329905 |
| 0.507856 | 1.329834 |
| 0.509433 | 1.329764 |
| 0.511015 | 1.329694 |
| 0.512603 | 1.329625 |
| 0.514195 | 1.329556 |
| 0.515792 | 1.329488 |
| 0.517394 | 1.32942 |
| 0.519001 | 1.329353 |
| 0.520613 | 1.329286 |
| 0.52223 | 1.32922 |
| 0.523852 | 1.329154 |
| 0.52548 | 1.329089 |
| 0.527112 | 1.329024 |
| 0.528749 | 1.328959 |
| 0.530391 | 1.328895 |
| 0.532039 | 1.328832 |
| 0.533691 | 1.328769 |
| 0.535349 | 1.328706 |
| 0.537012 | 1.328644 |
| 0.53868 | 1.328582 |
| 0.540353 | 1.328521 |
| 0.542031 | 1.32846 |
| 0.543715 | 1.328399 |
| 0.545404 | 1.328339 |
| 0.547098 | 1.328279 |
| 0.548797 | 1.32822 |
| 0.550502 | 1.328161 |
| 0.552212 | 1.328103 |
| 0.553927 | 1.328045 |
| 0.555647 | 1.327987 |
| 0.557373 | 1.32793 |
| 0.559105 | 1.327873 |
| 0.560841 | 1.327817 |
| 0.562583 | 1.327761 |
| 0.564331 | 1.327705 |
| 0.566084 | 1.32765 |
| 0.567842 | 1.327595 |
| 0.569606 | 1.327541 |
| 0.571375 | 1.327486 |
| 0.57315 | 1.327433 |
| 0.57493 | 1.327379 |
| 0.576716 | 1.327326 |
| 0.578507 | 1.327273 |
| 0.580304 | 1.327221 |
| 0.582106 | 1.327169 |
| 0.583914 | 1.327117 |
| 0.585728 | 1.327066 |
| 0.587547 | 1.327015 |
| 0.589372 | 1.326964 |
| 0.591203 | 1.326914 |
| 0.593039 | 1.326864 |
| 0.594881 | 1.326814 |
| 0.596729 | 1.326765 |
| 0.598583 | 1.326716 |
| 0.600442 | 1.326667 |
| 0.602307 | 1.326619 |
| 0.604178 | 1.326571 |
| 0.606054 | 1.326523 |
| 0.607937 | 1.326476 |
| 0.609825 | 1.326429 |
| 0.611719 | 1.326382 |
| 0.613619 | 1.326335 |
| 0.615525 | 1.326289 |
| 0.617437 | 1.326243 |
| 0.619355 | 1.326197 |
| 0.621279 | 1.326152 |
| 0.623209 | 1.326107 |
| 0.625144 | 1.326062 |
| 0.627086 | 1.326017 |
| 0.629034 | 1.325973 |
| 0.630988 | 1.325929 |
| 0.632948 | 1.325885 |
| 0.634914 | 1.325842 |
| 0.636886 | 1.325799 |
| 0.638864 | 1.325756 |
| 0.640848 | 1.325713 |
| 0.642839 | 1.325671 |
| 0.644835 | 1.325629 |
| 0.646838 | 1.325587 |
| 0.648847 | 1.325545 |
| 0.650863 | 1.325504 |
| 0.652885 | 1.325462 |
| 0.654912 | 1.325421 |
| 0.656947 | 1.325381 |
| 0.658987 | 1.32534 |
| 0.661034 | 1.3253 |
| 0.663087 | 1.32526 |
| 0.665147 | 1.32522 |
| 0.667213 | 1.325181 |
| 0.669285 | 1.325141 |
| 0.671364 | 1.325102 |
| 0.673449 | 1.325063 |
| 0.675541 | 1.325025 |
| 0.67764 | 1.324986 |
| 0.679744 | 1.324948 |
| 0.681856 | 1.32491 |
| 0.683974 | 1.324872 |
| 0.686098 | 1.324835 |
| 0.688229 | 1.324797 |
| 0.690367 | 1.32476 |
| 0.692511 | 1.324723 |
| 0.694662 | 1.324686 |
| 0.69682 | 1.32465 |
| 0.698984 | 1.324613 |
| 0.701155 | 1.324577 |
| 0.703333 | 1.324541 |
| 0.705518 | 1.324505 |
| 0.707709 | 1.32447 |
| 0.709907 | 1.324434 |
| 0.712112 | 1.324399 |
| 0.714324 | 1.324364 |
| 0.716543 | 1.324329 |
| 0.718769 | 1.324294 |
| 0.721001 | 1.324259 |
| 0.723241 | 1.324225 |
| 0.725487 | 1.324191 |
| 0.727741 | 1.324157 |
| 0.730001 | 1.324123 |
| 0.732269 | 1.324089 |
| 0.734543 | 1.324055 |
| 0.736825 | 1.324022 |
| 0.739113 | 1.323989 |
| 0.741409 | 1.323956 |
| 0.743712 | 1.323923 |
| 0.746022 | 1.32389 |
| 0.748339 | 1.323857 |
| 0.750664 | 1.323825 |
| 0.752995 | 1.323792 |
| 0.755334 | 1.32376 |
| 0.75768 | 1.323728 |
| 0.760034 | 1.323696 |
| 0.762394 | 1.323664 |
| 0.764762 | 1.323633 |
| 0.767138 | 1.323601 |
| 0.769521 | 1.32357 |
| 0.771911 | 1.323538 |
| 0.774308 | 1.323507 |
| 0.776713 | 1.323476 |
| 0.779126 | 1.323445 |
| 0.781546 | 1.323415 |
| 0.783974 | 1.323384 |
| 0.786409 | 1.323354 |
| 0.788851 | 1.323323 |
| 0.791302 | 1.323293 |
| 0.793759 | 1.323263 |
| 0.796225 | 1.323233 |
| 0.798698 | 1.323203 |
| 0.801179 | 1.323173 |
| 0.803667 | 1.323143 |
| 0.806164 | 1.323114 |
| 0.808668 | 1.323084 |
| 0.811179 | 1.323055 |
| 0.813699 | 1.323026 |
| 0.816226 | 1.322996 |
| 0.818762 | 1.322967 |
| 0.821305 | 1.322938 |
| 0.823856 | 1.322909 |
| 0.826415 | 1.322881 |
| 0.828982 | 1.322852 |
| 0.831557 | 1.322823 |
| 0.83414 | 1.322795 |
| 0.83673 | 1.322766 |
| 0.839329 | 1.322738 |
| 0.841936 | 1.32271 |
| 0.844552 | 1.322682 |
| 0.847175 | 1.322654 |
| 0.849806 | 1.322626 |
| 0.852446 | 1.322598 |
| 0.855094 | 1.32257 |
| 0.85775 | 1.322542 |
| 0.860414 | 1.322515 |
| 0.863086 | 1.322487 |
| 0.865767 | 1.32246 |
| 0.868456 | 1.322432 |
| 0.871154 | 1.322405 |
| 0.87386 | 1.322377 |
| 0.876574 | 1.32235 |
| 0.879297 | 1.322323 |
| 0.882028 | 1.322296 |
| 0.884768 | 1.322269 |
| 0.887516 | 1.322242 |
| 0.890272 | 1.322215 |
| 0.893038 | 1.322188 |
| 0.895811 | 1.322161 |
| 0.898594 | 1.322135 |
| 0.901385 | 1.322108 |
| 0.904185 | 1.322081 |
| 0.906993 | 1.322055 |
| 0.909811 | 1.322028 |
| 0.912636 | 1.322002 |
| 0.915471 | 1.321975 |
| 0.918315 | 1.321949 |
| 0.921167 | 1.321923 |
| 0.924028 | 1.321897 |
| 0.926898 | 1.32187 |
| 0.929777 | 1.321844 |
| 0.932665 | 1.321818 |
| 0.935562 | 1.321792 |
| 0.938468 | 1.321766 |
| 0.941383 | 1.32174 |
| 0.944307 | 1.321714 |
| 0.94724 | 1.321688 |
| 0.950183 | 1.321662 |
| 0.953134 | 1.321636 |
| 0.956094 | 1.32161 |
| 0.959064 | 1.321584 |
| 0.962043 | 1.321559 |
| 0.965031 | 1.321533 |
| 0.968029 | 1.321507 |
| 0.971036 | 1.321482 |
| 0.974052 | 1.321456 |
| 0.977077 | 1.32143 |
| 0.980112 | 1.321405 |
| 0.983156 | 1.321379 |
| 0.98621 | 1.321353 |
| 0.989273 | 1.321328 |
| 0.992346 | 1.321302 |
| 0.995428 | 1.321277 |
| 0.99852 | 1.321251 |
| 1.00162 | 1.321226 |
| 1.00473 | 1.3212 |
| 1.00785 | 1.321175 |
| 1.01098 | 1.321149 |
| 1.01412 | 1.321124 |
| 1.01727 | 1.321098 |
| 1.02043 | 1.321073 |
| 1.0236 | 1.321047 |
| 1.02678 | 1.321022 |
| 1.02997 | 1.320997 |
| 1.03317 | 1.320971 |
| 1.03638 | 1.320946 |
| 1.0396 | 1.32092 |
| 1.04283 | 1.320895 |
| 1.04607 | 1.320869 |
| 1.04932 | 1.320844 |
| 1.05258 | 1.320818 |
| 1.05585 | 1.320793 |
| 1.05913 | 1.320768 |
| 1.06242 | 1.320742 |
| 1.06572 | 1.320717 |
| 1.06903 | 1.320691 |
| 1.07235 | 1.320666 |
| 1.07568 | 1.32064 |
| 1.07902 | 1.320615 |
| 1.08237 | 1.320589 |
| 1.08573 | 1.320563 |
| 1.0891 | 1.320538 |
| 1.09249 | 1.320512 |
| 1.09588 | 1.320487 |
| 1.09928 | 1.320461 |
| 1.1027 | 1.320435 |
| 1.10612 | 1.32041 |
| 1.10956 | 1.320384 |
| 1.11301 | 1.320358 |
| 1.11646 | 1.320333 |
| 1.11993 | 1.320307 |
| 1.12341 | 1.320281 |
| 1.1269 | 1.320255 |
| 1.1304 | 1.320229 |
| 1.13391 | 1.320203 |
| 1.13743 | 1.320177 |
| 1.14096 | 1.320151 |
| 1.14451 | 1.320125 |
| 1.14806 | 1.320099 |
| 1.15163 | 1.320073 |
| 1.15521 | 1.320047 |
| 1.15879 | 1.320021 |
| 1.16239 | 1.319995 |
| 1.166 | 1.319968 |
| 1.16963 | 1.319942 |
| 1.17326 | 1.319916 |
| 1.1769 | 1.319889 |
| 1.18056 | 1.319863 |
| 1.18423 | 1.319837 |
| 1.1879 | 1.31981 |
| 1.19159 | 1.319783 |
| 1.1953 | 1.319757 |
| 1.19901 | 1.31973 |
| 1.20273 | 1.319703 |
| 1.20647 | 1.319677 |
| 1.21022 | 1.31965 |
| 1.21397 | 1.319623 |
| 1.21774 | 1.319596 |
| 1.22153 | 1.319569 |
| 1.22532 | 1.319542 |
| 1.22913 | 1.319515 |
| 1.23295 | 1.319487 |
| 1.23677 | 1.31946 |
| 1.24062 | 1.319433 |
| 1.24447 | 1.319405 |
| 1.24834 | 1.319378 |
| 1.25221 | 1.31935 |
| 1.2561 | 1.319323 |
| 1.26 | 1.319295 |
| 1.26392 | 1.319267 |
| 1.26784 | 1.31924 |
| 1.27178 | 1.319212 |
| 1.27573 | 1.319184 |
| 1.27969 | 1.319156 |
| 1.28367 | 1.319128 |
| 1.28766 | 1.319099 |
| 1.29166 | 1.319071 |
| 1.29567 | 1.319043 |
| 1.29969 | 1.319014 |
| 1.30373 | 1.318986 |
| 1.30778 | 1.318957 |
| 1.31184 | 1.318928 |
| 1.31592 | 1.3189 |
| 1.32 | 1.318871 |
| 1.3241 | 1.318842 |
| 1.32822 | 1.318813 |
| 1.33234 | 1.318784 |
| 1.33648 | 1.318754 |
| 1.34063 | 1.318725 |
| 1.34479 | 1.318695 |
| 1.34897 | 1.318666 |
| 1.35316 | 1.318636 |
| 1.35736 | 1.318607 |
| 1.36158 | 1.318577 |
| 1.36581 | 1.318547 |
| 1.37005 | 1.318517 |
| 1.37431 | 1.318487 |
| 1.37858 | 1.318456 |
| 1.38286 | 1.318426 |
| 1.38715 | 1.318396 |
| 1.39146 | 1.318365 |
| 1.39578 | 1.318334 |
| 1.40012 | 1.318304 |
| 1.40447 | 1.318273 |
| 1.40883 | 1.318242 |
| 1.41321 | 1.31821 |
| 1.4176 | 1.318179 |
| 1.422 | 1.318148 |
| 1.42642 | 1.318116 |
| 1.43085 | 1.318085 |
| 1.43529 | 1.318053 |
| 1.43975 | 1.318021 |
| 1.44422 | 1.317989 |
| 1.44871 | 1.317957 |
| 1.45321 | 1.317925 |
| 1.45772 | 1.317892 |
| 1.46225 | 1.31786 |
| 1.46679 | 1.317827 |
| 1.47135 | 1.317795 |
| 1.47592 | 1.317762 |
| 1.4805 | 1.317729 |
| 1.4851 | 1.317696 |
| 1.48971 | 1.317662 |
| 1.49434 | 1.317629 |
| 1.49898 | 1.317595 |
| 1.50364 | 1.317562 |
| 1.50831 | 1.317528 |
| 1.51299 | 1.317494 |
| 1.51769 | 1.31746 |
| 1.52241 | 1.317425 |
| 1.52714 | 1.317391 |
| 1.53188 | 1.317356 |
| 1.53664 | 1.317321 |
| 1.54141 | 1.317287 |
| 1.5462 | 1.317252 |
| 1.551 | 1.317216 |
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
- —
300 K (27 °C).