Optical constants
Refractive index of C3H5(OH)3 (Glycerol)
Nyakuchena et al. 2023: n 1.10–1.65 µm
- Data
- formula 5
- Range
- 1.1–1.65 µm
- Temperature
- 296 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.46054
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.13319
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00988546 µm⁻¹
- Group index ng
- 1.47389
- Group velocity dispersion
- -19.3112 fs²/mm
- Dispersion parameter D
- 19.9592 ps/(nm·km)
- Photon energy
- 0.918401 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): Nyakuchena et al. 2023: n 1.10–1.65 µm
c3h5 = ls.fetch_refractiveindex("organic", "glycerol", "Nyakuchena", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c3h5.range_nm) # (1100, 1650) nm
eps = c3h5.eps([1350]) # 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_bb5a5efa095e/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/nyakuchena-2023).
# ... 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=1100, stop_nm=1650, 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 1.1 to 1.65 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.4659 |
| C2 | -0.0033 |
| C3 | 2.0 |
| C4 | 0.0012 |
| C5 | -2.0 |
Comments and conditions
Conditions
- temperature
- 296 K
References
- doi:10.1039/d3cp03158f Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy, Physical Chemistry Chemical Physics (2023)
Cite
Melisa Nyakuchena, Cory Juntunen, Peter Shea and Yongjin Sung. Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy. Physical Chemistry Chemical Physics, 25, 23141-23149 (2023), doi:10.1039/d3cp03158f; 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 |
|---|---|
| 1.1 | 1.462899 |
| 1.10112 | 1.462889 |
| 1.10224 | 1.462878 |
| 1.10336 | 1.462868 |
| 1.10448 | 1.462858 |
| 1.1056 | 1.462848 |
| 1.10673 | 1.462838 |
| 1.10785 | 1.462828 |
| 1.10898 | 1.462817 |
| 1.11011 | 1.462807 |
| 1.11124 | 1.462797 |
| 1.11237 | 1.462787 |
| 1.1135 | 1.462776 |
| 1.11463 | 1.462766 |
| 1.11576 | 1.462756 |
| 1.1169 | 1.462745 |
| 1.11803 | 1.462735 |
| 1.11917 | 1.462725 |
| 1.12031 | 1.462714 |
| 1.12145 | 1.462704 |
| 1.12259 | 1.462694 |
| 1.12373 | 1.462683 |
| 1.12487 | 1.462673 |
| 1.12601 | 1.462662 |
| 1.12716 | 1.462652 |
| 1.1283 | 1.462641 |
| 1.12945 | 1.462631 |
| 1.1306 | 1.462621 |
| 1.13175 | 1.46261 |
| 1.1329 | 1.4626 |
| 1.13405 | 1.462589 |
| 1.1352 | 1.462579 |
| 1.13636 | 1.462568 |
| 1.13751 | 1.462557 |
| 1.13867 | 1.462547 |
| 1.13983 | 1.462536 |
| 1.14099 | 1.462526 |
| 1.14215 | 1.462515 |
| 1.14331 | 1.462504 |
| 1.14447 | 1.462494 |
| 1.14563 | 1.462483 |
| 1.1468 | 1.462472 |
| 1.14796 | 1.462462 |
| 1.14913 | 1.462451 |
| 1.1503 | 1.46244 |
| 1.15147 | 1.46243 |
| 1.15264 | 1.462419 |
| 1.15381 | 1.462408 |
| 1.15499 | 1.462397 |
| 1.15616 | 1.462387 |
| 1.15734 | 1.462376 |
| 1.15851 | 1.462365 |
| 1.15969 | 1.462354 |
| 1.16087 | 1.462343 |
| 1.16205 | 1.462332 |
| 1.16323 | 1.462322 |
| 1.16441 | 1.462311 |
| 1.1656 | 1.4623 |
| 1.16678 | 1.462289 |
| 1.16797 | 1.462278 |
| 1.16916 | 1.462267 |
| 1.17035 | 1.462256 |
| 1.17153 | 1.462245 |
| 1.17273 | 1.462234 |
| 1.17392 | 1.462223 |
| 1.17511 | 1.462212 |
| 1.17631 | 1.462201 |
| 1.1775 | 1.46219 |
| 1.1787 | 1.462179 |
| 1.1799 | 1.462168 |
| 1.1811 | 1.462157 |
| 1.1823 | 1.462146 |
| 1.1835 | 1.462135 |
| 1.1847 | 1.462123 |
| 1.18591 | 1.462112 |
| 1.18711 | 1.462101 |
| 1.18832 | 1.46209 |
| 1.18953 | 1.462079 |
| 1.19074 | 1.462067 |
| 1.19195 | 1.462056 |
| 1.19316 | 1.462045 |
| 1.19437 | 1.462034 |
| 1.19559 | 1.462022 |
| 1.1968 | 1.462011 |
| 1.19802 | 1.462 |
| 1.19924 | 1.461988 |
| 1.20046 | 1.461977 |
| 1.20168 | 1.461966 |
| 1.2029 | 1.461954 |
| 1.20412 | 1.461943 |
| 1.20535 | 1.461932 |
| 1.20657 | 1.46192 |
| 1.2078 | 1.461909 |
| 1.20903 | 1.461897 |
| 1.21026 | 1.461886 |
| 1.21149 | 1.461874 |
| 1.21272 | 1.461863 |
| 1.21395 | 1.461851 |
| 1.21519 | 1.46184 |
| 1.21642 | 1.461828 |
| 1.21766 | 1.461816 |
| 1.2189 | 1.461805 |
| 1.22014 | 1.461793 |
| 1.22138 | 1.461782 |
| 1.22262 | 1.46177 |
| 1.22386 | 1.461758 |
| 1.22511 | 1.461747 |
| 1.22635 | 1.461735 |
| 1.2276 | 1.461723 |
| 1.22885 | 1.461711 |
| 1.2301 | 1.4617 |
| 1.23135 | 1.461688 |
| 1.2326 | 1.461676 |
| 1.23385 | 1.461664 |
| 1.23511 | 1.461653 |
| 1.23636 | 1.461641 |
| 1.23762 | 1.461629 |
| 1.23888 | 1.461617 |
| 1.24014 | 1.461605 |
| 1.2414 | 1.461593 |
| 1.24266 | 1.461581 |
| 1.24392 | 1.461569 |
| 1.24519 | 1.461557 |
| 1.24645 | 1.461545 |
| 1.24772 | 1.461533 |
| 1.24899 | 1.461521 |
| 1.25026 | 1.461509 |
| 1.25153 | 1.461497 |
| 1.2528 | 1.461485 |
| 1.25408 | 1.461473 |
| 1.25535 | 1.461461 |
| 1.25663 | 1.461449 |
| 1.25791 | 1.461437 |
| 1.25919 | 1.461425 |
| 1.26047 | 1.461412 |
| 1.26175 | 1.4614 |
| 1.26303 | 1.461388 |
| 1.26431 | 1.461376 |
| 1.2656 | 1.461363 |
| 1.26689 | 1.461351 |
| 1.26817 | 1.461339 |
| 1.26946 | 1.461327 |
| 1.27075 | 1.461314 |
| 1.27205 | 1.461302 |
| 1.27334 | 1.461289 |
| 1.27463 | 1.461277 |
| 1.27593 | 1.461265 |
| 1.27723 | 1.461252 |
| 1.27853 | 1.46124 |
| 1.27983 | 1.461227 |
| 1.28113 | 1.461215 |
| 1.28243 | 1.461202 |
| 1.28373 | 1.46119 |
| 1.28504 | 1.461177 |
| 1.28635 | 1.461165 |
| 1.28765 | 1.461152 |
| 1.28896 | 1.46114 |
| 1.29027 | 1.461127 |
| 1.29159 | 1.461114 |
| 1.2929 | 1.461102 |
| 1.29421 | 1.461089 |
| 1.29553 | 1.461076 |
| 1.29685 | 1.461064 |
| 1.29816 | 1.461051 |
| 1.29948 | 1.461038 |
| 1.30081 | 1.461025 |
| 1.30213 | 1.461012 |
| 1.30345 | 1.461 |
| 1.30478 | 1.460987 |
| 1.3061 | 1.460974 |
| 1.30743 | 1.460961 |
| 1.30876 | 1.460948 |
| 1.31009 | 1.460935 |
| 1.31142 | 1.460922 |
| 1.31276 | 1.460909 |
| 1.31409 | 1.460896 |
| 1.31543 | 1.460883 |
| 1.31677 | 1.46087 |
| 1.3181 | 1.460857 |
| 1.31944 | 1.460844 |
| 1.32079 | 1.460831 |
| 1.32213 | 1.460818 |
| 1.32347 | 1.460805 |
| 1.32482 | 1.460792 |
| 1.32617 | 1.460779 |
| 1.32751 | 1.460765 |
| 1.32886 | 1.460752 |
| 1.33021 | 1.460739 |
| 1.33157 | 1.460726 |
| 1.33292 | 1.460712 |
| 1.33428 | 1.460699 |
| 1.33563 | 1.460686 |
| 1.33699 | 1.460672 |
| 1.33835 | 1.460659 |
| 1.33971 | 1.460646 |
| 1.34107 | 1.460632 |
| 1.34244 | 1.460619 |
| 1.3438 | 1.460605 |
| 1.34517 | 1.460592 |
| 1.34654 | 1.460578 |
| 1.3479 | 1.460565 |
| 1.34927 | 1.460551 |
| 1.35065 | 1.460538 |
| 1.35202 | 1.460524 |
| 1.35339 | 1.460511 |
| 1.35477 | 1.460497 |
| 1.35615 | 1.460483 |
| 1.35753 | 1.46047 |
| 1.35891 | 1.460456 |
| 1.36029 | 1.460442 |
| 1.36167 | 1.460429 |
| 1.36306 | 1.460415 |
| 1.36444 | 1.460401 |
| 1.36583 | 1.460387 |
| 1.36722 | 1.460373 |
| 1.36861 | 1.460359 |
| 1.37 | 1.460346 |
| 1.37139 | 1.460332 |
| 1.37279 | 1.460318 |
| 1.37418 | 1.460304 |
| 1.37558 | 1.46029 |
| 1.37698 | 1.460276 |
| 1.37838 | 1.460262 |
| 1.37978 | 1.460248 |
| 1.38118 | 1.460234 |
| 1.38259 | 1.46022 |
| 1.38399 | 1.460206 |
| 1.3854 | 1.460191 |
| 1.38681 | 1.460177 |
| 1.38822 | 1.460163 |
| 1.38963 | 1.460149 |
| 1.39104 | 1.460135 |
| 1.39246 | 1.46012 |
| 1.39387 | 1.460106 |
| 1.39529 | 1.460092 |
| 1.39671 | 1.460078 |
| 1.39813 | 1.460063 |
| 1.39955 | 1.460049 |
| 1.40097 | 1.460034 |
| 1.4024 | 1.46002 |
| 1.40382 | 1.460006 |
| 1.40525 | 1.459991 |
| 1.40668 | 1.459977 |
| 1.40811 | 1.459962 |
| 1.40954 | 1.459948 |
| 1.41097 | 1.459933 |
| 1.41241 | 1.459918 |
| 1.41384 | 1.459904 |
| 1.41528 | 1.459889 |
| 1.41672 | 1.459874 |
| 1.41816 | 1.45986 |
| 1.4196 | 1.459845 |
| 1.42105 | 1.45983 |
| 1.42249 | 1.459816 |
| 1.42394 | 1.459801 |
| 1.42539 | 1.459786 |
| 1.42683 | 1.459771 |
| 1.42828 | 1.459756 |
| 1.42974 | 1.459741 |
| 1.43119 | 1.459726 |
| 1.43265 | 1.459711 |
| 1.4341 | 1.459697 |
| 1.43556 | 1.459682 |
| 1.43702 | 1.459667 |
| 1.43848 | 1.459651 |
| 1.43994 | 1.459636 |
| 1.44141 | 1.459621 |
| 1.44287 | 1.459606 |
| 1.44434 | 1.459591 |
| 1.44581 | 1.459576 |
| 1.44728 | 1.459561 |
| 1.44875 | 1.459545 |
| 1.45022 | 1.45953 |
| 1.4517 | 1.459515 |
| 1.45317 | 1.4595 |
| 1.45465 | 1.459484 |
| 1.45613 | 1.459469 |
| 1.45761 | 1.459454 |
| 1.45909 | 1.459438 |
| 1.46058 | 1.459423 |
| 1.46206 | 1.459407 |
| 1.46355 | 1.459392 |
| 1.46504 | 1.459376 |
| 1.46653 | 1.459361 |
| 1.46802 | 1.459345 |
| 1.46951 | 1.459329 |
| 1.471 | 1.459314 |
| 1.4725 | 1.459298 |
| 1.474 | 1.459283 |
| 1.47549 | 1.459267 |
| 1.47699 | 1.459251 |
| 1.4785 | 1.459235 |
| 1.48 | 1.45922 |
| 1.4815 | 1.459204 |
| 1.48301 | 1.459188 |
| 1.48452 | 1.459172 |
| 1.48603 | 1.459156 |
| 1.48754 | 1.45914 |
| 1.48905 | 1.459124 |
| 1.49056 | 1.459108 |
| 1.49208 | 1.459092 |
| 1.4936 | 1.459076 |
| 1.49512 | 1.45906 |
| 1.49664 | 1.459044 |
| 1.49816 | 1.459028 |
| 1.49968 | 1.459012 |
| 1.50121 | 1.458996 |
| 1.50273 | 1.458979 |
| 1.50426 | 1.458963 |
| 1.50579 | 1.458947 |
| 1.50732 | 1.458931 |
| 1.50885 | 1.458914 |
| 1.51039 | 1.458898 |
| 1.51192 | 1.458881 |
| 1.51346 | 1.458865 |
| 1.515 | 1.458849 |
| 1.51654 | 1.458832 |
| 1.51808 | 1.458816 |
| 1.51962 | 1.458799 |
| 1.52117 | 1.458783 |
| 1.52272 | 1.458766 |
| 1.52426 | 1.458749 |
| 1.52581 | 1.458733 |
| 1.52736 | 1.458716 |
| 1.52892 | 1.458699 |
| 1.53047 | 1.458683 |
| 1.53203 | 1.458666 |
| 1.53359 | 1.458649 |
| 1.53515 | 1.458632 |
| 1.53671 | 1.458615 |
| 1.53827 | 1.458598 |
| 1.53983 | 1.458582 |
| 1.5414 | 1.458565 |
| 1.54296 | 1.458548 |
| 1.54453 | 1.458531 |
| 1.5461 | 1.458514 |
| 1.54768 | 1.458496 |
| 1.54925 | 1.458479 |
| 1.55082 | 1.458462 |
| 1.5524 | 1.458445 |
| 1.55398 | 1.458428 |
| 1.55556 | 1.458411 |
| 1.55714 | 1.458393 |
| 1.55872 | 1.458376 |
| 1.56031 | 1.458359 |
| 1.5619 | 1.458341 |
| 1.56348 | 1.458324 |
| 1.56507 | 1.458307 |
| 1.56666 | 1.458289 |
| 1.56826 | 1.458272 |
| 1.56985 | 1.458254 |
| 1.57145 | 1.458237 |
| 1.57305 | 1.458219 |
| 1.57465 | 1.458202 |
| 1.57625 | 1.458184 |
| 1.57785 | 1.458166 |
| 1.57945 | 1.458149 |
| 1.58106 | 1.458131 |
| 1.58267 | 1.458113 |
| 1.58428 | 1.458095 |
| 1.58589 | 1.458078 |
| 1.5875 | 1.45806 |
| 1.58911 | 1.458042 |
| 1.59073 | 1.458024 |
| 1.59235 | 1.458006 |
| 1.59396 | 1.457988 |
| 1.59559 | 1.45797 |
| 1.59721 | 1.457952 |
| 1.59883 | 1.457934 |
| 1.60046 | 1.457916 |
| 1.60208 | 1.457898 |
| 1.60371 | 1.457879 |
| 1.60534 | 1.457861 |
| 1.60698 | 1.457843 |
| 1.60861 | 1.457825 |
| 1.61025 | 1.457806 |
| 1.61188 | 1.457788 |
| 1.61352 | 1.45777 |
| 1.61516 | 1.457751 |
| 1.6168 | 1.457733 |
| 1.61845 | 1.457714 |
| 1.62009 | 1.457696 |
| 1.62174 | 1.457677 |
| 1.62339 | 1.457659 |
| 1.62504 | 1.45764 |
| 1.62669 | 1.457621 |
| 1.62835 | 1.457603 |
| 1.63 | 1.457584 |
| 1.63166 | 1.457565 |
| 1.63332 | 1.457546 |
| 1.63498 | 1.457528 |
| 1.63664 | 1.457509 |
| 1.6383 | 1.45749 |
| 1.63997 | 1.457471 |
| 1.64164 | 1.457452 |
| 1.64331 | 1.457433 |
| 1.64498 | 1.457414 |
| 1.64665 | 1.457395 |
| 1.64832 | 1.457376 |
| 1.65 | 1.457357 |
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
- —
23 °C