Optical constants
Refractive index of C3H5(OH)3 (Glycerol)
Rheims et al. 1997: n 0.589–1.05 µm
- Data
- formula 5
- Range
- 0.5893–1.05 µm
- Temperature
- 298 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.46669
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.15117
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0197665 µm⁻¹
- Group index ng
- 1.48224
- Group velocity dispersion
- 54.577 fs²/mm
- Dispersion parameter D
- -165.982 ps/(nm·km)
- Photon energy
- 1.5754 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): Rheims et al. 1997: n 0.589–1.05 µm
c3h5 = ls.fetch_refractiveindex("organic", "glycerol", "Rheims", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c3h5.range_nm) # (589.3, 1050) 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_f68b4384ec23/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/rheims-1997).
# ... 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=590, 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
Cauchy (formula 5), λ in µmValid from 0.5893 to 1.05 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.45797 |
| C2 | 0.00598 |
| C3 | -2.0 |
| C4 | -0.00036 |
| C5 | -4.0 |
Comments and conditions
Conditions
- temperature
- 298 K
References
- doi:10.1088/0957-0233/8/6/003 Refractive-index measurements in the near-IR using an Abbe refractometer, Measurement Science and Technology (1997)
Cite
J Rheims, J Köser and T Wriedt. Refractive-index measurements in the near-IR using an Abbe refractometer. Measurement Science and Technology, 8, 601-605 (1997), doi:10.1088/0957-0233/8/6/003; 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 |
|---|---|
| 0.5893 | 1.472205 |
| 0.590154 | 1.472172 |
| 0.591009 | 1.47214 |
| 0.591865 | 1.472107 |
| 0.592722 | 1.472075 |
| 0.593581 | 1.472042 |
| 0.594441 | 1.47201 |
| 0.595302 | 1.471978 |
| 0.596164 | 1.471946 |
| 0.597028 | 1.471913 |
| 0.597893 | 1.471881 |
| 0.598759 | 1.471849 |
| 0.599627 | 1.471817 |
| 0.600495 | 1.471785 |
| 0.601365 | 1.471753 |
| 0.602236 | 1.471721 |
| 0.603109 | 1.471689 |
| 0.603983 | 1.471658 |
| 0.604858 | 1.471626 |
| 0.605734 | 1.471594 |
| 0.606611 | 1.471562 |
| 0.60749 | 1.471531 |
| 0.60837 | 1.471499 |
| 0.609252 | 1.471468 |
| 0.610134 | 1.471436 |
| 0.611018 | 1.471405 |
| 0.611903 | 1.471373 |
| 0.61279 | 1.471342 |
| 0.613677 | 1.471311 |
| 0.614566 | 1.471279 |
| 0.615457 | 1.471248 |
| 0.616348 | 1.471217 |
| 0.617241 | 1.471186 |
| 0.618135 | 1.471155 |
| 0.619031 | 1.471124 |
| 0.619928 | 1.471093 |
| 0.620826 | 1.471062 |
| 0.621725 | 1.471031 |
| 0.622626 | 1.471 |
| 0.623528 | 1.47097 |
| 0.624431 | 1.470939 |
| 0.625336 | 1.470908 |
| 0.626242 | 1.470878 |
| 0.627149 | 1.470847 |
| 0.628058 | 1.470816 |
| 0.628967 | 1.470786 |
| 0.629879 | 1.470756 |
| 0.630791 | 1.470725 |
| 0.631705 | 1.470695 |
| 0.63262 | 1.470665 |
| 0.633536 | 1.470634 |
| 0.634454 | 1.470604 |
| 0.635373 | 1.470574 |
| 0.636294 | 1.470544 |
| 0.637216 | 1.470514 |
| 0.638139 | 1.470484 |
| 0.639063 | 1.470454 |
| 0.639989 | 1.470424 |
| 0.640916 | 1.470394 |
| 0.641845 | 1.470365 |
| 0.642775 | 1.470335 |
| 0.643706 | 1.470305 |
| 0.644638 | 1.470276 |
| 0.645572 | 1.470246 |
| 0.646507 | 1.470217 |
| 0.647444 | 1.470187 |
| 0.648382 | 1.470158 |
| 0.649321 | 1.470128 |
| 0.650262 | 1.470099 |
| 0.651204 | 1.47007 |
| 0.652147 | 1.47004 |
| 0.653092 | 1.470011 |
| 0.654038 | 1.469982 |
| 0.654986 | 1.469953 |
| 0.655935 | 1.469924 |
| 0.656885 | 1.469895 |
| 0.657836 | 1.469866 |
| 0.658789 | 1.469837 |
| 0.659744 | 1.469809 |
| 0.6607 | 1.46978 |
| 0.661657 | 1.469751 |
| 0.662615 | 1.469723 |
| 0.663575 | 1.469694 |
| 0.664537 | 1.469665 |
| 0.665499 | 1.469637 |
| 0.666463 | 1.469608 |
| 0.667429 | 1.46958 |
| 0.668396 | 1.469552 |
| 0.669364 | 1.469523 |
| 0.670334 | 1.469495 |
| 0.671305 | 1.469467 |
| 0.672277 | 1.469439 |
| 0.673251 | 1.469411 |
| 0.674227 | 1.469383 |
| 0.675203 | 1.469355 |
| 0.676182 | 1.469327 |
| 0.677161 | 1.469299 |
| 0.678142 | 1.469271 |
| 0.679125 | 1.469243 |
| 0.680108 | 1.469216 |
| 0.681094 | 1.469188 |
| 0.68208 | 1.46916 |
| 0.683068 | 1.469133 |
| 0.684058 | 1.469105 |
| 0.685049 | 1.469078 |
| 0.686041 | 1.469051 |
| 0.687035 | 1.469023 |
| 0.688031 | 1.468996 |
| 0.689027 | 1.468969 |
| 0.690026 | 1.468941 |
| 0.691025 | 1.468914 |
| 0.692026 | 1.468887 |
| 0.693029 | 1.46886 |
| 0.694033 | 1.468833 |
| 0.695038 | 1.468806 |
| 0.696045 | 1.468779 |
| 0.697053 | 1.468753 |
| 0.698063 | 1.468726 |
| 0.699075 | 1.468699 |
| 0.700087 | 1.468672 |
| 0.701102 | 1.468646 |
| 0.702117 | 1.468619 |
| 0.703134 | 1.468593 |
| 0.704153 | 1.468566 |
| 0.705173 | 1.46854 |
| 0.706195 | 1.468513 |
| 0.707218 | 1.468487 |
| 0.708242 | 1.468461 |
| 0.709268 | 1.468435 |
| 0.710296 | 1.468409 |
| 0.711325 | 1.468382 |
| 0.712355 | 1.468356 |
| 0.713387 | 1.46833 |
| 0.714421 | 1.468304 |
| 0.715456 | 1.468279 |
| 0.716492 | 1.468253 |
| 0.71753 | 1.468227 |
| 0.71857 | 1.468201 |
| 0.719611 | 1.468175 |
| 0.720653 | 1.46815 |
| 0.721697 | 1.468124 |
| 0.722743 | 1.468099 |
| 0.72379 | 1.468073 |
| 0.724838 | 1.468048 |
| 0.725888 | 1.468022 |
| 0.72694 | 1.467997 |
| 0.727993 | 1.467972 |
| 0.729048 | 1.467947 |
| 0.730104 | 1.467921 |
| 0.731162 | 1.467896 |
| 0.732221 | 1.467871 |
| 0.733282 | 1.467846 |
| 0.734344 | 1.467821 |
| 0.735408 | 1.467796 |
| 0.736473 | 1.467772 |
| 0.73754 | 1.467747 |
| 0.738608 | 1.467722 |
| 0.739678 | 1.467697 |
| 0.74075 | 1.467673 |
| 0.741823 | 1.467648 |
| 0.742898 | 1.467623 |
| 0.743974 | 1.467599 |
| 0.745052 | 1.467574 |
| 0.746131 | 1.46755 |
| 0.747212 | 1.467526 |
| 0.748295 | 1.467501 |
| 0.749379 | 1.467477 |
| 0.750464 | 1.467453 |
| 0.751551 | 1.467429 |
| 0.75264 | 1.467405 |
| 0.753731 | 1.467381 |
| 0.754822 | 1.467357 |
| 0.755916 | 1.467333 |
| 0.757011 | 1.467309 |
| 0.758108 | 1.467285 |
| 0.759206 | 1.467261 |
| 0.760306 | 1.467238 |
| 0.761407 | 1.467214 |
| 0.76251 | 1.46719 |
| 0.763615 | 1.467167 |
| 0.764721 | 1.467143 |
| 0.765829 | 1.46712 |
| 0.766939 | 1.467096 |
| 0.76805 | 1.467073 |
| 0.769162 | 1.467049 |
| 0.770277 | 1.467026 |
| 0.771392 | 1.467003 |
| 0.77251 | 1.46698 |
| 0.773629 | 1.466957 |
| 0.77475 | 1.466934 |
| 0.775872 | 1.46691 |
| 0.776996 | 1.466887 |
| 0.778122 | 1.466865 |
| 0.779249 | 1.466842 |
| 0.780378 | 1.466819 |
| 0.781508 | 1.466796 |
| 0.782641 | 1.466773 |
| 0.783774 | 1.466751 |
| 0.78491 | 1.466728 |
| 0.786047 | 1.466705 |
| 0.787186 | 1.466683 |
| 0.788326 | 1.46666 |
| 0.789468 | 1.466638 |
| 0.790612 | 1.466616 |
| 0.791757 | 1.466593 |
| 0.792904 | 1.466571 |
| 0.794053 | 1.466549 |
| 0.795203 | 1.466527 |
| 0.796355 | 1.466504 |
| 0.797509 | 1.466482 |
| 0.798664 | 1.46646 |
| 0.799821 | 1.466438 |
| 0.80098 | 1.466416 |
| 0.80214 | 1.466394 |
| 0.803302 | 1.466373 |
| 0.804466 | 1.466351 |
| 0.805632 | 1.466329 |
| 0.806799 | 1.466307 |
| 0.807968 | 1.466286 |
| 0.809138 | 1.466264 |
| 0.81031 | 1.466242 |
| 0.811484 | 1.466221 |
| 0.81266 | 1.466199 |
| 0.813837 | 1.466178 |
| 0.815016 | 1.466157 |
| 0.816197 | 1.466135 |
| 0.817379 | 1.466114 |
| 0.818563 | 1.466093 |
| 0.819749 | 1.466072 |
| 0.820937 | 1.466051 |
| 0.822126 | 1.46603 |
| 0.823317 | 1.466009 |
| 0.82451 | 1.465988 |
| 0.825704 | 1.465967 |
| 0.8269 | 1.465946 |
| 0.828098 | 1.465925 |
| 0.829298 | 1.465904 |
| 0.830499 | 1.465883 |
| 0.831702 | 1.465863 |
| 0.832907 | 1.465842 |
| 0.834114 | 1.465821 |
| 0.835322 | 1.465801 |
| 0.836532 | 1.46578 |
| 0.837744 | 1.46576 |
| 0.838958 | 1.465739 |
| 0.840173 | 1.465719 |
| 0.84139 | 1.465699 |
| 0.842609 | 1.465678 |
| 0.84383 | 1.465658 |
| 0.845053 | 1.465638 |
| 0.846277 | 1.465618 |
| 0.847503 | 1.465598 |
| 0.848731 | 1.465578 |
| 0.84996 | 1.465558 |
| 0.851191 | 1.465538 |
| 0.852425 | 1.465518 |
| 0.853659 | 1.465498 |
| 0.854896 | 1.465478 |
| 0.856135 | 1.465459 |
| 0.857375 | 1.465439 |
| 0.858617 | 1.465419 |
| 0.859861 | 1.4654 |
| 0.861106 | 1.46538 |
| 0.862354 | 1.46536 |
| 0.863603 | 1.465341 |
| 0.864854 | 1.465321 |
| 0.866107 | 1.465302 |
| 0.867362 | 1.465283 |
| 0.868619 | 1.465263 |
| 0.869877 | 1.465244 |
| 0.871137 | 1.465225 |
| 0.872399 | 1.465206 |
| 0.873663 | 1.465187 |
| 0.874929 | 1.465168 |
| 0.876196 | 1.465149 |
| 0.877465 | 1.46513 |
| 0.878737 | 1.465111 |
| 0.88001 | 1.465092 |
| 0.881284 | 1.465073 |
| 0.882561 | 1.465054 |
| 0.88384 | 1.465035 |
| 0.88512 | 1.465016 |
| 0.886402 | 1.464998 |
| 0.887687 | 1.464979 |
| 0.888973 | 1.464961 |
| 0.89026 | 1.464942 |
| 0.89155 | 1.464924 |
| 0.892842 | 1.464905 |
| 0.894135 | 1.464887 |
| 0.89543 | 1.464868 |
| 0.896728 | 1.46485 |
| 0.898027 | 1.464832 |
| 0.899328 | 1.464813 |
| 0.900631 | 1.464795 |
| 0.901935 | 1.464777 |
| 0.903242 | 1.464759 |
| 0.90455 | 1.464741 |
| 0.905861 | 1.464723 |
| 0.907173 | 1.464705 |
| 0.908487 | 1.464687 |
| 0.909804 | 1.464669 |
| 0.911122 | 1.464651 |
| 0.912441 | 1.464633 |
| 0.913763 | 1.464616 |
| 0.915087 | 1.464598 |
| 0.916413 | 1.46458 |
| 0.91774 | 1.464563 |
| 0.91907 | 1.464545 |
| 0.920401 | 1.464527 |
| 0.921735 | 1.46451 |
| 0.92307 | 1.464492 |
| 0.924407 | 1.464475 |
| 0.925746 | 1.464458 |
| 0.927088 | 1.46444 |
| 0.928431 | 1.464423 |
| 0.929776 | 1.464406 |
| 0.931123 | 1.464388 |
| 0.932472 | 1.464371 |
| 0.933822 | 1.464354 |
| 0.935175 | 1.464337 |
| 0.93653 | 1.46432 |
| 0.937887 | 1.464303 |
| 0.939245 | 1.464286 |
| 0.940606 | 1.464269 |
| 0.941969 | 1.464252 |
| 0.943333 | 1.464235 |
| 0.9447 | 1.464219 |
| 0.946069 | 1.464202 |
| 0.947439 | 1.464185 |
| 0.948812 | 1.464168 |
| 0.950186 | 1.464152 |
| 0.951563 | 1.464135 |
| 0.952941 | 1.464119 |
| 0.954322 | 1.464102 |
| 0.955704 | 1.464086 |
| 0.957089 | 1.464069 |
| 0.958475 | 1.464053 |
| 0.959864 | 1.464036 |
| 0.961254 | 1.46402 |
| 0.962647 | 1.464004 |
| 0.964042 | 1.463988 |
| 0.965438 | 1.463971 |
| 0.966837 | 1.463955 |
| 0.968237 | 1.463939 |
| 0.96964 | 1.463923 |
| 0.971045 | 1.463907 |
| 0.972452 | 1.463891 |
| 0.97386 | 1.463875 |
| 0.975271 | 1.463859 |
| 0.976684 | 1.463843 |
| 0.978099 | 1.463827 |
| 0.979516 | 1.463812 |
| 0.980935 | 1.463796 |
| 0.982356 | 1.46378 |
| 0.983779 | 1.463764 |
| 0.985204 | 1.463749 |
| 0.986632 | 1.463733 |
| 0.988061 | 1.463718 |
| 0.989492 | 1.463702 |
| 0.990926 | 1.463687 |
| 0.992361 | 1.463671 |
| 0.993799 | 1.463656 |
| 0.995239 | 1.46364 |
| 0.99668 | 1.463625 |
| 0.998124 | 1.46361 |
| 0.99957 | 1.463595 |
| 1.00102 | 1.463579 |
| 1.00247 | 1.463564 |
| 1.00392 | 1.463549 |
| 1.00538 | 1.463534 |
| 1.00683 | 1.463519 |
| 1.00829 | 1.463504 |
| 1.00975 | 1.463489 |
| 1.01121 | 1.463474 |
| 1.01268 | 1.463459 |
| 1.01415 | 1.463444 |
| 1.01562 | 1.463429 |
| 1.01709 | 1.463414 |
| 1.01856 | 1.4634 |
| 1.02004 | 1.463385 |
| 1.02151 | 1.46337 |
| 1.02299 | 1.463355 |
| 1.02447 | 1.463341 |
| 1.02596 | 1.463326 |
| 1.02745 | 1.463312 |
| 1.02893 | 1.463297 |
| 1.03042 | 1.463283 |
| 1.03192 | 1.463268 |
| 1.03341 | 1.463254 |
| 1.03491 | 1.46324 |
| 1.03641 | 1.463225 |
| 1.03791 | 1.463211 |
| 1.03941 | 1.463197 |
| 1.04092 | 1.463182 |
| 1.04243 | 1.463168 |
| 1.04394 | 1.463154 |
| 1.04545 | 1.46314 |
| 1.04696 | 1.463126 |
| 1.04848 | 1.463112 |
| 1.05 | 1.463098 |
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
- —
25 °C