Optical constants
Refractive index of CH3OH (Methanol)
Kozma et al. 2005: n 0.230–0.641 µm
- Data
- formula 5
- Range
- 0.23–0.6407 µm
- Temperature
- 295 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.32812
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.76391
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.028802 µm⁻¹
- Group index ng
- 1.34505
- Group velocity dispersion
- 52.0355 fs²/mm
- Dispersion parameter D
- -283.881 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): Kozma et al. 2005: n 0.230–0.641 µm
ch3oh = ls.fetch_refractiveindex("organic", "methanol", "Kozma", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch3oh.range_nm) # (230, 640.7) 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_813121c440c2/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/kozma-2005).
# ... 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=640, 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 0.23 to 0.6407 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.3195 |
| C2 | 0.00305364419 |
| C3 | -2.0 |
| C4 | -3.41636393011e-05 |
| C5 | -4.0 |
| C6 | 2.62128e-06 |
| C7 | -6.0 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1364/josab.22.001479 Direct measurement of the group-velocity mismatch and derivation of the refractive-index dispersion for a variety of solvents in the ultraviolet, Journal of the Optical Society of America B (2005)
Cite
Ida Z. Kozma, Patrizia Krok and Eberhard Riedle. Direct measurement of the group-velocity mismatch and derivation of the refractive-index dispersion for a variety of solvents in the ultraviolet. Journal of the Optical Society of America B, 22, 1479 (2005), doi:10.1364/josab.22.001479; 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 |
|---|---|
| 0.23 | 1.382724 |
| 0.230591 | 1.382282 |
| 0.231184 | 1.381845 |
| 0.231779 | 1.381412 |
| 0.232374 | 1.380983 |
| 0.232972 | 1.380559 |
| 0.233571 | 1.380138 |
| 0.234171 | 1.379722 |
| 0.234773 | 1.37931 |
| 0.235377 | 1.378902 |
| 0.235982 | 1.378498 |
| 0.236589 | 1.378097 |
| 0.237197 | 1.377701 |
| 0.237807 | 1.377308 |
| 0.238418 | 1.376919 |
| 0.239031 | 1.376534 |
| 0.239646 | 1.376152 |
| 0.240262 | 1.375774 |
| 0.240879 | 1.375399 |
| 0.241499 | 1.375028 |
| 0.24212 | 1.374661 |
| 0.242742 | 1.374297 |
| 0.243366 | 1.373936 |
| 0.243992 | 1.373578 |
| 0.244619 | 1.373224 |
| 0.245248 | 1.372873 |
| 0.245879 | 1.372526 |
| 0.246511 | 1.372181 |
| 0.247144 | 1.37184 |
| 0.24778 | 1.371501 |
| 0.248417 | 1.371166 |
| 0.249055 | 1.370834 |
| 0.249696 | 1.370504 |
| 0.250338 | 1.370178 |
| 0.250981 | 1.369854 |
| 0.251627 | 1.369534 |
| 0.252273 | 1.369216 |
| 0.252922 | 1.368901 |
| 0.253572 | 1.368589 |
| 0.254224 | 1.368279 |
| 0.254878 | 1.367972 |
| 0.255533 | 1.367668 |
| 0.25619 | 1.367366 |
| 0.256849 | 1.367067 |
| 0.257509 | 1.366771 |
| 0.258171 | 1.366477 |
| 0.258835 | 1.366186 |
| 0.2595 | 1.365897 |
| 0.260167 | 1.36561 |
| 0.260836 | 1.365326 |
| 0.261507 | 1.365044 |
| 0.262179 | 1.364765 |
| 0.262853 | 1.364488 |
| 0.263529 | 1.364213 |
| 0.264207 | 1.363941 |
| 0.264886 | 1.36367 |
| 0.265567 | 1.363402 |
| 0.26625 | 1.363136 |
| 0.266934 | 1.362873 |
| 0.26762 | 1.362611 |
| 0.268308 | 1.362352 |
| 0.268998 | 1.362095 |
| 0.26969 | 1.361839 |
| 0.270383 | 1.361586 |
| 0.271078 | 1.361335 |
| 0.271775 | 1.361086 |
| 0.272474 | 1.360838 |
| 0.273174 | 1.360593 |
| 0.273877 | 1.36035 |
| 0.274581 | 1.360108 |
| 0.275287 | 1.359869 |
| 0.275994 | 1.359631 |
| 0.276704 | 1.359395 |
| 0.277415 | 1.359161 |
| 0.278129 | 1.358929 |
| 0.278844 | 1.358699 |
| 0.279561 | 1.35847 |
| 0.280279 | 1.358243 |
| 0.281 | 1.358018 |
| 0.281722 | 1.357794 |
| 0.282447 | 1.357573 |
| 0.283173 | 1.357352 |
| 0.283901 | 1.357134 |
| 0.284631 | 1.356917 |
| 0.285362 | 1.356702 |
| 0.286096 | 1.356488 |
| 0.286832 | 1.356276 |
| 0.287569 | 1.356066 |
| 0.288308 | 1.355857 |
| 0.289049 | 1.355649 |
| 0.289793 | 1.355443 |
| 0.290538 | 1.355239 |
| 0.291285 | 1.355036 |
| 0.292033 | 1.354835 |
| 0.292784 | 1.354635 |
| 0.293537 | 1.354436 |
| 0.294292 | 1.354239 |
| 0.295048 | 1.354043 |
| 0.295807 | 1.353849 |
| 0.296567 | 1.353656 |
| 0.29733 | 1.353464 |
| 0.298094 | 1.353274 |
| 0.298861 | 1.353085 |
| 0.299629 | 1.352897 |
| 0.300399 | 1.352711 |
| 0.301171 | 1.352526 |
| 0.301946 | 1.352342 |
| 0.302722 | 1.35216 |
| 0.3035 | 1.351979 |
| 0.304281 | 1.351799 |
| 0.305063 | 1.35162 |
| 0.305847 | 1.351443 |
| 0.306633 | 1.351266 |
| 0.307422 | 1.351091 |
| 0.308212 | 1.350917 |
| 0.309005 | 1.350745 |
| 0.309799 | 1.350573 |
| 0.310595 | 1.350403 |
| 0.311394 | 1.350233 |
| 0.312195 | 1.350065 |
| 0.312997 | 1.349898 |
| 0.313802 | 1.349732 |
| 0.314609 | 1.349568 |
| 0.315417 | 1.349404 |
| 0.316228 | 1.349241 |
| 0.317041 | 1.34908 |
| 0.317856 | 1.348919 |
| 0.318674 | 1.34876 |
| 0.319493 | 1.348601 |
| 0.320314 | 1.348444 |
| 0.321138 | 1.348287 |
| 0.321963 | 1.348132 |
| 0.322791 | 1.347978 |
| 0.323621 | 1.347824 |
| 0.324453 | 1.347672 |
| 0.325287 | 1.34752 |
| 0.326124 | 1.34737 |
| 0.326962 | 1.34722 |
| 0.327803 | 1.347072 |
| 0.328645 | 1.346924 |
| 0.32949 | 1.346778 |
| 0.330337 | 1.346632 |
| 0.331187 | 1.346487 |
| 0.332038 | 1.346343 |
| 0.332892 | 1.3462 |
| 0.333748 | 1.346058 |
| 0.334606 | 1.345917 |
| 0.335466 | 1.345776 |
| 0.336328 | 1.345637 |
| 0.337193 | 1.345498 |
| 0.33806 | 1.34536 |
| 0.338929 | 1.345223 |
| 0.3398 | 1.345087 |
| 0.340674 | 1.344952 |
| 0.34155 | 1.344817 |
| 0.342428 | 1.344683 |
| 0.343308 | 1.344551 |
| 0.344191 | 1.344419 |
| 0.345076 | 1.344287 |
| 0.345963 | 1.344157 |
| 0.346852 | 1.344027 |
| 0.347744 | 1.343898 |
| 0.348638 | 1.34377 |
| 0.349534 | 1.343643 |
| 0.350433 | 1.343516 |
| 0.351334 | 1.34339 |
| 0.352237 | 1.343265 |
| 0.353143 | 1.343141 |
| 0.354051 | 1.343017 |
| 0.354961 | 1.342894 |
| 0.355874 | 1.342772 |
| 0.356788 | 1.342651 |
| 0.357706 | 1.34253 |
| 0.358625 | 1.34241 |
| 0.359547 | 1.34229 |
| 0.360472 | 1.342172 |
| 0.361398 | 1.342054 |
| 0.362328 | 1.341937 |
| 0.363259 | 1.34182 |
| 0.364193 | 1.341704 |
| 0.365129 | 1.341589 |
| 0.366068 | 1.341474 |
| 0.367009 | 1.34136 |
| 0.367953 | 1.341247 |
| 0.368899 | 1.341134 |
| 0.369847 | 1.341022 |
| 0.370798 | 1.340911 |
| 0.371751 | 1.3408 |
| 0.372707 | 1.34069 |
| 0.373665 | 1.340581 |
| 0.374626 | 1.340472 |
| 0.375589 | 1.340364 |
| 0.376555 | 1.340256 |
| 0.377523 | 1.340149 |
| 0.378493 | 1.340043 |
| 0.379466 | 1.339937 |
| 0.380442 | 1.339832 |
| 0.38142 | 1.339727 |
| 0.382401 | 1.339623 |
| 0.383384 | 1.33952 |
| 0.384369 | 1.339417 |
| 0.385358 | 1.339314 |
| 0.386348 | 1.339213 |
| 0.387342 | 1.339112 |
| 0.388337 | 1.339011 |
| 0.389336 | 1.338911 |
| 0.390337 | 1.338811 |
| 0.39134 | 1.338712 |
| 0.392346 | 1.338614 |
| 0.393355 | 1.338516 |
| 0.394366 | 1.338419 |
| 0.39538 | 1.338322 |
| 0.396397 | 1.338226 |
| 0.397416 | 1.33813 |
| 0.398438 | 1.338035 |
| 0.399462 | 1.33794 |
| 0.400489 | 1.337846 |
| 0.401519 | 1.337752 |
| 0.402551 | 1.337659 |
| 0.403586 | 1.337567 |
| 0.404623 | 1.337474 |
| 0.405664 | 1.337383 |
| 0.406707 | 1.337292 |
| 0.407752 | 1.337201 |
| 0.4088 | 1.337111 |
| 0.409851 | 1.337021 |
| 0.410905 | 1.336932 |
| 0.411962 | 1.336843 |
| 0.413021 | 1.336755 |
| 0.414083 | 1.336667 |
| 0.415147 | 1.33658 |
| 0.416214 | 1.336493 |
| 0.417284 | 1.336407 |
| 0.418357 | 1.336321 |
| 0.419433 | 1.336235 |
| 0.420511 | 1.33615 |
| 0.421592 | 1.336066 |
| 0.422676 | 1.335982 |
| 0.423763 | 1.335898 |
| 0.424852 | 1.335815 |
| 0.425945 | 1.335732 |
| 0.42704 | 1.33565 |
| 0.428137 | 1.335568 |
| 0.429238 | 1.335486 |
| 0.430342 | 1.335405 |
| 0.431448 | 1.335325 |
| 0.432557 | 1.335245 |
| 0.433669 | 1.335165 |
| 0.434784 | 1.335086 |
| 0.435902 | 1.335007 |
| 0.437023 | 1.334928 |
| 0.438146 | 1.33485 |
| 0.439273 | 1.334773 |
| 0.440402 | 1.334695 |
| 0.441534 | 1.334618 |
| 0.44267 | 1.334542 |
| 0.443808 | 1.334466 |
| 0.444949 | 1.33439 |
| 0.446092 | 1.334315 |
| 0.447239 | 1.33424 |
| 0.448389 | 1.334166 |
| 0.449542 | 1.334092 |
| 0.450698 | 1.334018 |
| 0.451856 | 1.333945 |
| 0.453018 | 1.333872 |
| 0.454183 | 1.333799 |
| 0.45535 | 1.333727 |
| 0.456521 | 1.333655 |
| 0.457695 | 1.333584 |
| 0.458871 | 1.333513 |
| 0.460051 | 1.333442 |
| 0.461234 | 1.333371 |
| 0.46242 | 1.333302 |
| 0.463609 | 1.333232 |
| 0.464801 | 1.333163 |
| 0.465995 | 1.333094 |
| 0.467194 | 1.333025 |
| 0.468395 | 1.332957 |
| 0.469599 | 1.332889 |
| 0.470806 | 1.332822 |
| 0.472017 | 1.332755 |
| 0.47323 | 1.332688 |
| 0.474447 | 1.332621 |
| 0.475666 | 1.332555 |
| 0.476889 | 1.332489 |
| 0.478115 | 1.332424 |
| 0.479345 | 1.332359 |
| 0.480577 | 1.332294 |
| 0.481813 | 1.33223 |
| 0.483051 | 1.332166 |
| 0.484293 | 1.332102 |
| 0.485538 | 1.332038 |
| 0.486786 | 1.331975 |
| 0.488038 | 1.331912 |
| 0.489293 | 1.33185 |
| 0.490551 | 1.331788 |
| 0.491812 | 1.331726 |
| 0.493076 | 1.331664 |
| 0.494344 | 1.331603 |
| 0.495615 | 1.331542 |
| 0.496889 | 1.331482 |
| 0.498166 | 1.331421 |
| 0.499447 | 1.331361 |
| 0.500731 | 1.331302 |
| 0.502019 | 1.331242 |
| 0.503309 | 1.331183 |
| 0.504603 | 1.331125 |
| 0.5059 | 1.331066 |
| 0.507201 | 1.331008 |
| 0.508505 | 1.33095 |
| 0.509812 | 1.330892 |
| 0.511123 | 1.330835 |
| 0.512437 | 1.330778 |
| 0.513755 | 1.330721 |
| 0.515075 | 1.330665 |
| 0.5164 | 1.330609 |
| 0.517727 | 1.330553 |
| 0.519058 | 1.330497 |
| 0.520393 | 1.330442 |
| 0.521731 | 1.330387 |
| 0.523072 | 1.330332 |
| 0.524417 | 1.330278 |
| 0.525765 | 1.330224 |
| 0.527117 | 1.33017 |
| 0.528472 | 1.330116 |
| 0.529831 | 1.330063 |
| 0.531193 | 1.33001 |
| 0.532558 | 1.329957 |
| 0.533927 | 1.329904 |
| 0.5353 | 1.329852 |
| 0.536676 | 1.3298 |
| 0.538056 | 1.329748 |
| 0.539439 | 1.329697 |
| 0.540826 | 1.329645 |
| 0.542217 | 1.329594 |
| 0.543611 | 1.329544 |
| 0.545008 | 1.329493 |
| 0.546409 | 1.329443 |
| 0.547814 | 1.329393 |
| 0.549223 | 1.329343 |
| 0.550635 | 1.329294 |
| 0.55205 | 1.329245 |
| 0.55347 | 1.329196 |
| 0.554892 | 1.329147 |
| 0.556319 | 1.329098 |
| 0.557749 | 1.32905 |
| 0.559183 | 1.329002 |
| 0.560621 | 1.328954 |
| 0.562062 | 1.328907 |
| 0.563507 | 1.32886 |
| 0.564956 | 1.328813 |
| 0.566408 | 1.328766 |
| 0.567865 | 1.328719 |
| 0.569325 | 1.328673 |
| 0.570788 | 1.328627 |
| 0.572256 | 1.328581 |
| 0.573727 | 1.328535 |
| 0.575202 | 1.32849 |
| 0.576681 | 1.328445 |
| 0.578163 | 1.3284 |
| 0.57965 | 1.328355 |
| 0.58114 | 1.32831 |
| 0.582634 | 1.328266 |
| 0.584132 | 1.328222 |
| 0.585634 | 1.328178 |
| 0.587139 | 1.328135 |
| 0.588649 | 1.328091 |
| 0.590162 | 1.328048 |
| 0.591679 | 1.328005 |
| 0.593201 | 1.327962 |
| 0.594726 | 1.32792 |
| 0.596255 | 1.327877 |
| 0.597788 | 1.327835 |
| 0.599324 | 1.327793 |
| 0.600865 | 1.327752 |
| 0.60241 | 1.32771 |
| 0.603959 | 1.327669 |
| 0.605512 | 1.327628 |
| 0.607068 | 1.327587 |
| 0.608629 | 1.327546 |
| 0.610194 | 1.327506 |
| 0.611762 | 1.327465 |
| 0.613335 | 1.327425 |
| 0.614912 | 1.327385 |
| 0.616493 | 1.327346 |
| 0.618078 | 1.327306 |
| 0.619667 | 1.327267 |
| 0.62126 | 1.327228 |
| 0.622857 | 1.327189 |
| 0.624459 | 1.32715 |
| 0.626064 | 1.327112 |
| 0.627674 | 1.327074 |
| 0.629287 | 1.327036 |
| 0.630905 | 1.326998 |
| 0.632527 | 1.32696 |
| 0.634153 | 1.326922 |
| 0.635784 | 1.326885 |
| 0.637418 | 1.326848 |
| 0.639057 | 1.326811 |
| 0.6407 | 1.326774 |
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
- —
22 °C