Optical constants
Refractive index of C3H5(OH)3 (Glycerol)
Gupta et al. 2022: n 0.40–0.71 µm
- Data
- formula 5
- Range
- 0.4–0.71 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.47133
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.16481
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 64.391
- Chromatic dispersion dn/dλ
- -0.0379196 µm⁻¹
- Group index ng
- 1.49361
- Group velocity dispersion
- 68.3165 fs²/mm
- Dispersion parameter D
- -372.703 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
# C3H5(OH)3 (Glycerol): Gupta et al. 2022: n 0.40–0.71 µm
c3h5 = ls.fetch_refractiveindex("organic", "glycerol", "Gupta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c3h5.range_nm) # (400, 710) nm
eps = c3h5.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_62f432424b24/lightsmith"
c3h5 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c3h5.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (glycerol/gupta-2022).
# ... load c3h5 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c3h5)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=710, 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 0.4 to 0.71 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.46004 |
| C2 | 0.00394934611 |
| C3 | -2.0 |
| C4 | -1.77343e-05 |
| C5 | -4.0 |
Comments and conditions
References
- doi:10.1002/adpr.202200152 Advanced Colloidal Sensors Enabled by an Out‐of‐Plane Lattice Resonance, Advanced Photonics Research (2022)
Cite
Vaibhav Gupta et al.. Advanced Colloidal Sensors Enabled by an Out‐of‐Plane Lattice Resonance. Advanced Photonics Research, 3, 2200152 (2022), doi:10.1002/adpr.202200152; 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 | 1.484031 |
| 0.400576 | 1.483964 |
| 0.401152 | 1.483897 |
| 0.401729 | 1.48383 |
| 0.402308 | 1.483764 |
| 0.402887 | 1.483698 |
| 0.403466 | 1.483632 |
| 0.404047 | 1.483566 |
| 0.404628 | 1.4835 |
| 0.405211 | 1.483435 |
| 0.405794 | 1.48337 |
| 0.406378 | 1.483304 |
| 0.406963 | 1.483239 |
| 0.407548 | 1.483175 |
| 0.408135 | 1.48311 |
| 0.408722 | 1.483046 |
| 0.409311 | 1.482981 |
| 0.4099 | 1.482917 |
| 0.410489 | 1.482853 |
| 0.41108 | 1.48279 |
| 0.411672 | 1.482726 |
| 0.412264 | 1.482663 |
| 0.412858 | 1.4826 |
| 0.413452 | 1.482536 |
| 0.414047 | 1.482474 |
| 0.414643 | 1.482411 |
| 0.415239 | 1.482348 |
| 0.415837 | 1.482286 |
| 0.416435 | 1.482224 |
| 0.417035 | 1.482162 |
| 0.417635 | 1.4821 |
| 0.418236 | 1.482038 |
| 0.418838 | 1.481977 |
| 0.419441 | 1.481915 |
| 0.420044 | 1.481854 |
| 0.420649 | 1.481793 |
| 0.421254 | 1.481732 |
| 0.42186 | 1.481672 |
| 0.422467 | 1.481611 |
| 0.423075 | 1.481551 |
| 0.423684 | 1.481491 |
| 0.424294 | 1.481431 |
| 0.424905 | 1.481371 |
| 0.425516 | 1.481311 |
| 0.426128 | 1.481251 |
| 0.426742 | 1.481192 |
| 0.427356 | 1.481133 |
| 0.427971 | 1.481074 |
| 0.428587 | 1.481015 |
| 0.429204 | 1.480956 |
| 0.429821 | 1.480898 |
| 0.43044 | 1.480839 |
| 0.431059 | 1.480781 |
| 0.43168 | 1.480723 |
| 0.432301 | 1.480665 |
| 0.432923 | 1.480607 |
| 0.433546 | 1.480549 |
| 0.43417 | 1.480492 |
| 0.434795 | 1.480435 |
| 0.43542 | 1.480377 |
| 0.436047 | 1.48032 |
| 0.436675 | 1.480264 |
| 0.437303 | 1.480207 |
| 0.437932 | 1.48015 |
| 0.438563 | 1.480094 |
| 0.439194 | 1.480038 |
| 0.439826 | 1.479982 |
| 0.440459 | 1.479926 |
| 0.441093 | 1.47987 |
| 0.441728 | 1.479814 |
| 0.442363 | 1.479759 |
| 0.443 | 1.479704 |
| 0.443637 | 1.479649 |
| 0.444276 | 1.479594 |
| 0.444915 | 1.479539 |
| 0.445555 | 1.479484 |
| 0.446197 | 1.479429 |
| 0.446839 | 1.479375 |
| 0.447482 | 1.479321 |
| 0.448126 | 1.479267 |
| 0.448771 | 1.479213 |
| 0.449417 | 1.479159 |
| 0.450063 | 1.479105 |
| 0.450711 | 1.479052 |
| 0.45136 | 1.478998 |
| 0.452009 | 1.478945 |
| 0.45266 | 1.478892 |
| 0.453311 | 1.478839 |
| 0.453964 | 1.478786 |
| 0.454617 | 1.478734 |
| 0.455271 | 1.478681 |
| 0.455926 | 1.478629 |
| 0.456582 | 1.478577 |
| 0.45724 | 1.478525 |
| 0.457898 | 1.478473 |
| 0.458557 | 1.478421 |
| 0.459217 | 1.478369 |
| 0.459877 | 1.478318 |
| 0.460539 | 1.478266 |
| 0.461202 | 1.478215 |
| 0.461866 | 1.478164 |
| 0.46253 | 1.478113 |
| 0.463196 | 1.478062 |
| 0.463863 | 1.478012 |
| 0.46453 | 1.477961 |
| 0.465199 | 1.477911 |
| 0.465868 | 1.47786 |
| 0.466539 | 1.47781 |
| 0.46721 | 1.47776 |
| 0.467882 | 1.477711 |
| 0.468556 | 1.477661 |
| 0.46923 | 1.477611 |
| 0.469905 | 1.477562 |
| 0.470582 | 1.477513 |
| 0.471259 | 1.477463 |
| 0.471937 | 1.477414 |
| 0.472616 | 1.477366 |
| 0.473296 | 1.477317 |
| 0.473978 | 1.477268 |
| 0.47466 | 1.47722 |
| 0.475343 | 1.477171 |
| 0.476027 | 1.477123 |
| 0.476712 | 1.477075 |
| 0.477398 | 1.477027 |
| 0.478085 | 1.476979 |
| 0.478773 | 1.476932 |
| 0.479462 | 1.476884 |
| 0.480152 | 1.476837 |
| 0.480843 | 1.476789 |
| 0.481535 | 1.476742 |
| 0.482228 | 1.476695 |
| 0.482922 | 1.476648 |
| 0.483617 | 1.476602 |
| 0.484313 | 1.476555 |
| 0.48501 | 1.476508 |
| 0.485708 | 1.476462 |
| 0.486407 | 1.476416 |
| 0.487107 | 1.47637 |
| 0.487808 | 1.476324 |
| 0.48851 | 1.476278 |
| 0.489213 | 1.476232 |
| 0.489917 | 1.476186 |
| 0.490622 | 1.476141 |
| 0.491328 | 1.476096 |
| 0.492035 | 1.47605 |
| 0.492743 | 1.476005 |
| 0.493453 | 1.47596 |
| 0.494163 | 1.475915 |
| 0.494874 | 1.475871 |
| 0.495586 | 1.475826 |
| 0.496299 | 1.475782 |
| 0.497013 | 1.475737 |
| 0.497729 | 1.475693 |
| 0.498445 | 1.475649 |
| 0.499162 | 1.475605 |
| 0.499881 | 1.475561 |
| 0.5006 | 1.475517 |
| 0.501321 | 1.475473 |
| 0.502042 | 1.47543 |
| 0.502764 | 1.475387 |
| 0.503488 | 1.475343 |
| 0.504213 | 1.4753 |
| 0.504938 | 1.475257 |
| 0.505665 | 1.475214 |
| 0.506393 | 1.475171 |
| 0.507121 | 1.475129 |
| 0.507851 | 1.475086 |
| 0.508582 | 1.475044 |
| 0.509314 | 1.475001 |
| 0.510047 | 1.474959 |
| 0.510781 | 1.474917 |
| 0.511516 | 1.474875 |
| 0.512252 | 1.474833 |
| 0.512989 | 1.474791 |
| 0.513728 | 1.47475 |
| 0.514467 | 1.474708 |
| 0.515207 | 1.474667 |
| 0.515949 | 1.474626 |
| 0.516691 | 1.474584 |
| 0.517435 | 1.474543 |
| 0.51818 | 1.474502 |
| 0.518925 | 1.474462 |
| 0.519672 | 1.474421 |
| 0.52042 | 1.47438 |
| 0.521169 | 1.47434 |
| 0.521919 | 1.474299 |
| 0.52267 | 1.474259 |
| 0.523422 | 1.474219 |
| 0.524176 | 1.474179 |
| 0.52493 | 1.474139 |
| 0.525685 | 1.474099 |
| 0.526442 | 1.474059 |
| 0.5272 | 1.47402 |
| 0.527958 | 1.47398 |
| 0.528718 | 1.473941 |
| 0.529479 | 1.473902 |
| 0.530241 | 1.473862 |
| 0.531004 | 1.473823 |
| 0.531768 | 1.473784 |
| 0.532533 | 1.473746 |
| 0.5333 | 1.473707 |
| 0.534067 | 1.473668 |
| 0.534836 | 1.47363 |
| 0.535606 | 1.473591 |
| 0.536376 | 1.473553 |
| 0.537148 | 1.473515 |
| 0.537921 | 1.473477 |
| 0.538696 | 1.473439 |
| 0.539471 | 1.473401 |
| 0.540247 | 1.473363 |
| 0.541025 | 1.473325 |
| 0.541803 | 1.473288 |
| 0.542583 | 1.47325 |
| 0.543364 | 1.473213 |
| 0.544146 | 1.473176 |
| 0.544929 | 1.473139 |
| 0.545713 | 1.473102 |
| 0.546498 | 1.473065 |
| 0.547285 | 1.473028 |
| 0.548073 | 1.472991 |
| 0.548861 | 1.472955 |
| 0.549651 | 1.472918 |
| 0.550442 | 1.472882 |
| 0.551234 | 1.472845 |
| 0.552028 | 1.472809 |
| 0.552822 | 1.472773 |
| 0.553618 | 1.472737 |
| 0.554414 | 1.472701 |
| 0.555212 | 1.472665 |
| 0.556011 | 1.472629 |
| 0.556811 | 1.472594 |
| 0.557613 | 1.472558 |
| 0.558415 | 1.472523 |
| 0.559219 | 1.472487 |
| 0.560024 | 1.472452 |
| 0.56083 | 1.472417 |
| 0.561637 | 1.472382 |
| 0.562445 | 1.472347 |
| 0.563254 | 1.472312 |
| 0.564065 | 1.472278 |
| 0.564877 | 1.472243 |
| 0.56569 | 1.472208 |
| 0.566504 | 1.472174 |
| 0.567319 | 1.47214 |
| 0.568136 | 1.472105 |
| 0.568953 | 1.472071 |
| 0.569772 | 1.472037 |
| 0.570592 | 1.472003 |
| 0.571413 | 1.471969 |
| 0.572235 | 1.471935 |
| 0.573059 | 1.471902 |
| 0.573884 | 1.471868 |
| 0.57471 | 1.471835 |
| 0.575537 | 1.471801 |
| 0.576365 | 1.471768 |
| 0.577194 | 1.471735 |
| 0.578025 | 1.471702 |
| 0.578857 | 1.471668 |
| 0.57969 | 1.471636 |
| 0.580524 | 1.471603 |
| 0.58136 | 1.47157 |
| 0.582196 | 1.471537 |
| 0.583034 | 1.471505 |
| 0.583873 | 1.471472 |
| 0.584713 | 1.47144 |
| 0.585555 | 1.471407 |
| 0.586398 | 1.471375 |
| 0.587242 | 1.471343 |
| 0.588087 | 1.471311 |
| 0.588933 | 1.471279 |
| 0.589781 | 1.471247 |
| 0.590629 | 1.471216 |
| 0.591479 | 1.471184 |
| 0.592331 | 1.471152 |
| 0.593183 | 1.471121 |
| 0.594037 | 1.471089 |
| 0.594892 | 1.471058 |
| 0.595748 | 1.471027 |
| 0.596605 | 1.470996 |
| 0.597464 | 1.470965 |
| 0.598323 | 1.470934 |
| 0.599185 | 1.470903 |
| 0.600047 | 1.470872 |
| 0.60091 | 1.470841 |
| 0.601775 | 1.470811 |
| 0.602641 | 1.47078 |
| 0.603508 | 1.47075 |
| 0.604377 | 1.470719 |
| 0.605247 | 1.470689 |
| 0.606118 | 1.470659 |
| 0.60699 | 1.470629 |
| 0.607864 | 1.470599 |
| 0.608738 | 1.470569 |
| 0.609614 | 1.470539 |
| 0.610492 | 1.470509 |
| 0.61137 | 1.470479 |
| 0.61225 | 1.47045 |
| 0.613131 | 1.47042 |
| 0.614014 | 1.470391 |
| 0.614897 | 1.470361 |
| 0.615782 | 1.470332 |
| 0.616668 | 1.470303 |
| 0.617556 | 1.470274 |
| 0.618445 | 1.470245 |
| 0.619335 | 1.470216 |
| 0.620226 | 1.470187 |
| 0.621119 | 1.470158 |
| 0.622012 | 1.470129 |
| 0.622908 | 1.470101 |
| 0.623804 | 1.470072 |
| 0.624702 | 1.470044 |
| 0.625601 | 1.470015 |
| 0.626501 | 1.469987 |
| 0.627403 | 1.469959 |
| 0.628306 | 1.46993 |
| 0.62921 | 1.469902 |
| 0.630115 | 1.469874 |
| 0.631022 | 1.469846 |
| 0.63193 | 1.469819 |
| 0.63284 | 1.469791 |
| 0.633751 | 1.469763 |
| 0.634663 | 1.469736 |
| 0.635576 | 1.469708 |
| 0.636491 | 1.469681 |
| 0.637407 | 1.469653 |
| 0.638324 | 1.469626 |
| 0.639243 | 1.469599 |
| 0.640162 | 1.469571 |
| 0.641084 | 1.469544 |
| 0.642006 | 1.469517 |
| 0.64293 | 1.46949 |
| 0.643856 | 1.469464 |
| 0.644782 | 1.469437 |
| 0.64571 | 1.46941 |
| 0.646639 | 1.469384 |
| 0.64757 | 1.469357 |
| 0.648502 | 1.469331 |
| 0.649435 | 1.469304 |
| 0.65037 | 1.469278 |
| 0.651306 | 1.469252 |
| 0.652243 | 1.469225 |
| 0.653182 | 1.469199 |
| 0.654122 | 1.469173 |
| 0.655063 | 1.469147 |
| 0.656006 | 1.469121 |
| 0.65695 | 1.469096 |
| 0.657895 | 1.46907 |
| 0.658842 | 1.469044 |
| 0.65979 | 1.469019 |
| 0.66074 | 1.468993 |
| 0.661691 | 1.468968 |
| 0.662643 | 1.468942 |
| 0.663597 | 1.468917 |
| 0.664552 | 1.468892 |
| 0.665508 | 1.468867 |
| 0.666466 | 1.468841 |
| 0.667425 | 1.468816 |
| 0.668385 | 1.468792 |
| 0.669347 | 1.468767 |
| 0.670311 | 1.468742 |
| 0.671275 | 1.468717 |
| 0.672241 | 1.468692 |
| 0.673209 | 1.468668 |
| 0.674178 | 1.468643 |
| 0.675148 | 1.468619 |
| 0.676119 | 1.468594 |
| 0.677092 | 1.46857 |
| 0.678067 | 1.468546 |
| 0.679043 | 1.468522 |
| 0.68002 | 1.468498 |
| 0.680999 | 1.468473 |
| 0.681979 | 1.46845 |
| 0.68296 | 1.468426 |
| 0.683943 | 1.468402 |
| 0.684927 | 1.468378 |
| 0.685913 | 1.468354 |
| 0.6869 | 1.468331 |
| 0.687889 | 1.468307 |
| 0.688879 | 1.468283 |
| 0.68987 | 1.46826 |
| 0.690863 | 1.468237 |
| 0.691857 | 1.468213 |
| 0.692853 | 1.46819 |
| 0.69385 | 1.468167 |
| 0.694848 | 1.468144 |
| 0.695848 | 1.468121 |
| 0.69685 | 1.468098 |
| 0.697853 | 1.468075 |
| 0.698857 | 1.468052 |
| 0.699863 | 1.468029 |
| 0.70087 | 1.468006 |
| 0.701878 | 1.467984 |
| 0.702889 | 1.467961 |
| 0.7039 | 1.467939 |
| 0.704913 | 1.467916 |
| 0.705928 | 1.467894 |
| 0.706943 | 1.467871 |
| 0.707961 | 1.467849 |
| 0.70898 | 1.467827 |
| 0.71 | 1.467805 |
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.