Optical constants
Refractive index of CBrCl3 (Bromotrichloromethane)
Chang et al. 2024: n 0.4–2.0 µm
- Data
- formula 1
- Range
- 0.4–2 µm
- Temperature
- 295 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.50456
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.2637
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 41.452
- Chromatic dispersion dn/dλ
- -0.0622091 µm⁻¹
- Group index ng
- 1.54112
- Group velocity dispersion
- 119.806 fs²/mm
- Dispersion parameter D
- -653.604 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
# CBrCl3 (Bromotrichloromethane): Chang et al. 2024: n 0.4–2.0 µm
cbrcl3 = ls.fetch_refractiveindex("organic", "bromotrichloromethane", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cbrcl3.range_nm) # (400, 2000) nm
eps = cbrcl3.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_c0d281671844/lightsmith"
cbrcl3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cbrcl3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (bromotrichloromethane/chang-2024).
# ... load cbrcl3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cbrcl3)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, 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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_c0d281671844/lightsmith?model=drude_lorentz"
cbrcl3_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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
Sellmeier (formula 1), λ in µmValid from 0.4 to 2.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 1.211 |
| C3 | 0.12 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1364/ome.519907 Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry, Optical Materials Express (2024)
Cite
Hao-Jung Chang et al.. Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry. Optical Materials Express, 14, 1253 (2024), doi:10.1364/ome.519907; 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 | 1.526686 |
| 0.401617 | 1.52634 |
| 0.40324 | 1.525997 |
| 0.40487 | 1.525657 |
| 0.406506 | 1.525321 |
| 0.408149 | 1.524987 |
| 0.409799 | 1.524657 |
| 0.411455 | 1.52433 |
| 0.413118 | 1.524006 |
| 0.414788 | 1.523685 |
| 0.416465 | 1.523367 |
| 0.418148 | 1.523052 |
| 0.419838 | 1.522739 |
| 0.421535 | 1.52243 |
| 0.423239 | 1.522123 |
| 0.424949 | 1.52182 |
| 0.426667 | 1.521519 |
| 0.428391 | 1.521221 |
| 0.430123 | 1.520926 |
| 0.431861 | 1.520633 |
| 0.433607 | 1.520343 |
| 0.435359 | 1.520056 |
| 0.437119 | 1.519771 |
| 0.438886 | 1.519489 |
| 0.44066 | 1.51921 |
| 0.442441 | 1.518933 |
| 0.444229 | 1.518658 |
| 0.446024 | 1.518387 |
| 0.447827 | 1.518117 |
| 0.449637 | 1.51785 |
| 0.451455 | 1.517586 |
| 0.453279 | 1.517324 |
| 0.455111 | 1.517064 |
| 0.456951 | 1.516806 |
| 0.458798 | 1.516551 |
| 0.460652 | 1.516299 |
| 0.462514 | 1.516048 |
| 0.464383 | 1.5158 |
| 0.46626 | 1.515554 |
| 0.468145 | 1.51531 |
| 0.470037 | 1.515069 |
| 0.471937 | 1.514829 |
| 0.473844 | 1.514592 |
| 0.47576 | 1.514357 |
| 0.477683 | 1.514124 |
| 0.479613 | 1.513893 |
| 0.481552 | 1.513664 |
| 0.483498 | 1.513437 |
| 0.485452 | 1.513213 |
| 0.487414 | 1.51299 |
| 0.489385 | 1.512769 |
| 0.491363 | 1.51255 |
| 0.493349 | 1.512334 |
| 0.495343 | 1.512119 |
| 0.497345 | 1.511906 |
| 0.499355 | 1.511694 |
| 0.501373 | 1.511485 |
| 0.5034 | 1.511278 |
| 0.505434 | 1.511072 |
| 0.507477 | 1.510869 |
| 0.509528 | 1.510667 |
| 0.511588 | 1.510466 |
| 0.513655 | 1.510268 |
| 0.515732 | 1.510071 |
| 0.517816 | 1.509877 |
| 0.519909 | 1.509683 |
| 0.52201 | 1.509492 |
| 0.52412 | 1.509302 |
| 0.526239 | 1.509114 |
| 0.528366 | 1.508928 |
| 0.530501 | 1.508743 |
| 0.532645 | 1.50856 |
| 0.534798 | 1.508378 |
| 0.53696 | 1.508198 |
| 0.53913 | 1.50802 |
| 0.541309 | 1.507843 |
| 0.543497 | 1.507667 |
| 0.545694 | 1.507494 |
| 0.547899 | 1.507321 |
| 0.550114 | 1.507151 |
| 0.552337 | 1.506981 |
| 0.55457 | 1.506813 |
| 0.556811 | 1.506647 |
| 0.559062 | 1.506482 |
| 0.561321 | 1.506319 |
| 0.56359 | 1.506157 |
| 0.565868 | 1.505996 |
| 0.568155 | 1.505837 |
| 0.570452 | 1.505679 |
| 0.572757 | 1.505523 |
| 0.575072 | 1.505367 |
| 0.577397 | 1.505214 |
| 0.57973 | 1.505061 |
| 0.582073 | 1.50491 |
| 0.584426 | 1.50476 |
| 0.586788 | 1.504612 |
| 0.58916 | 1.504464 |
| 0.591541 | 1.504318 |
| 0.593932 | 1.504174 |
| 0.596333 | 1.50403 |
| 0.598743 | 1.503888 |
| 0.601163 | 1.503747 |
| 0.603593 | 1.503607 |
| 0.606032 | 1.503469 |
| 0.608482 | 1.503331 |
| 0.610941 | 1.503195 |
| 0.613411 | 1.50306 |
| 0.61589 | 1.502926 |
| 0.618379 | 1.502793 |
| 0.620879 | 1.502662 |
| 0.623388 | 1.502531 |
| 0.625908 | 1.502402 |
| 0.628438 | 1.502274 |
| 0.630978 | 1.502147 |
| 0.633528 | 1.50202 |
| 0.636088 | 1.501895 |
| 0.638659 | 1.501772 |
| 0.641241 | 1.501649 |
| 0.643833 | 1.501527 |
| 0.646435 | 1.501406 |
| 0.649048 | 1.501286 |
| 0.651671 | 1.501168 |
| 0.654305 | 1.50105 |
| 0.656949 | 1.500933 |
| 0.659605 | 1.500817 |
| 0.662271 | 1.500703 |
| 0.664948 | 1.500589 |
| 0.667635 | 1.500476 |
| 0.670334 | 1.500364 |
| 0.673043 | 1.500253 |
| 0.675763 | 1.500144 |
| 0.678495 | 1.500035 |
| 0.681237 | 1.499926 |
| 0.68399 | 1.499819 |
| 0.686755 | 1.499713 |
| 0.689531 | 1.499608 |
| 0.692318 | 1.499503 |
| 0.695116 | 1.4994 |
| 0.697925 | 1.499297 |
| 0.700746 | 1.499195 |
| 0.703579 | 1.499094 |
| 0.706422 | 1.498994 |
| 0.709278 | 1.498895 |
| 0.712144 | 1.498796 |
| 0.715023 | 1.498699 |
| 0.717913 | 1.498602 |
| 0.720814 | 1.498506 |
| 0.723728 | 1.498411 |
| 0.726653 | 1.498316 |
| 0.72959 | 1.498223 |
| 0.732539 | 1.49813 |
| 0.7355 | 1.498038 |
| 0.738472 | 1.497947 |
| 0.741457 | 1.497856 |
| 0.744454 | 1.497767 |
| 0.747463 | 1.497678 |
| 0.750484 | 1.497589 |
| 0.753517 | 1.497502 |
| 0.756563 | 1.497415 |
| 0.759621 | 1.497329 |
| 0.762691 | 1.497244 |
| 0.765774 | 1.497159 |
| 0.768869 | 1.497076 |
| 0.771977 | 1.496992 |
| 0.775097 | 1.49691 |
| 0.77823 | 1.496828 |
| 0.781375 | 1.496747 |
| 0.784533 | 1.496667 |
| 0.787704 | 1.496587 |
| 0.790888 | 1.496508 |
| 0.794085 | 1.49643 |
| 0.797294 | 1.496352 |
| 0.800517 | 1.496275 |
| 0.803752 | 1.496198 |
| 0.807001 | 1.496122 |
| 0.810263 | 1.496047 |
| 0.813538 | 1.495973 |
| 0.816826 | 1.495899 |
| 0.820127 | 1.495825 |
| 0.823442 | 1.495753 |
| 0.82677 | 1.495681 |
| 0.830112 | 1.495609 |
| 0.833467 | 1.495538 |
| 0.836836 | 1.495468 |
| 0.840218 | 1.495398 |
| 0.843614 | 1.495329 |
| 0.847024 | 1.49526 |
| 0.850447 | 1.495192 |
| 0.853885 | 1.495125 |
| 0.857336 | 1.495058 |
| 0.860801 | 1.494992 |
| 0.86428 | 1.494926 |
| 0.867774 | 1.494861 |
| 0.871281 | 1.494796 |
| 0.874803 | 1.494732 |
| 0.878338 | 1.494668 |
| 0.881888 | 1.494605 |
| 0.885453 | 1.494543 |
| 0.889032 | 1.494481 |
| 0.892625 | 1.494419 |
| 0.896233 | 1.494358 |
| 0.899855 | 1.494298 |
| 0.903492 | 1.494238 |
| 0.907144 | 1.494178 |
| 0.910811 | 1.494119 |
| 0.914492 | 1.494061 |
| 0.918188 | 1.494003 |
| 0.921899 | 1.493945 |
| 0.925626 | 1.493888 |
| 0.929367 | 1.493831 |
| 0.933123 | 1.493775 |
| 0.936895 | 1.49372 |
| 0.940681 | 1.493664 |
| 0.944483 | 1.49361 |
| 0.948301 | 1.493555 |
| 0.952134 | 1.493501 |
| 0.955982 | 1.493448 |
| 0.959846 | 1.493395 |
| 0.963726 | 1.493342 |
| 0.967621 | 1.49329 |
| 0.971532 | 1.493239 |
| 0.975458 | 1.493187 |
| 0.979401 | 1.493137 |
| 0.98336 | 1.493086 |
| 0.987334 | 1.493036 |
| 0.991325 | 1.492987 |
| 0.995332 | 1.492937 |
| 0.999355 | 1.492889 |
| 1.00339 | 1.49284 |
| 1.00745 | 1.492792 |
| 1.01152 | 1.492745 |
| 1.01561 | 1.492698 |
| 1.01971 | 1.492651 |
| 1.02384 | 1.492604 |
| 1.02797 | 1.492558 |
| 1.03213 | 1.492513 |
| 1.0363 | 1.492467 |
| 1.04049 | 1.492422 |
| 1.04469 | 1.492378 |
| 1.04892 | 1.492334 |
| 1.05316 | 1.49229 |
| 1.05741 | 1.492246 |
| 1.06169 | 1.492203 |
| 1.06598 | 1.492161 |
| 1.07029 | 1.492118 |
| 1.07461 | 1.492076 |
| 1.07896 | 1.492035 |
| 1.08332 | 1.491993 |
| 1.0877 | 1.491952 |
| 1.09209 | 1.491912 |
| 1.09651 | 1.491871 |
| 1.10094 | 1.491831 |
| 1.10539 | 1.491792 |
| 1.10986 | 1.491752 |
| 1.11434 | 1.491713 |
| 1.11885 | 1.491674 |
| 1.12337 | 1.491636 |
| 1.12791 | 1.491598 |
| 1.13247 | 1.49156 |
| 1.13704 | 1.491523 |
| 1.14164 | 1.491486 |
| 1.14625 | 1.491449 |
| 1.15089 | 1.491412 |
| 1.15554 | 1.491376 |
| 1.16021 | 1.49134 |
| 1.1649 | 1.491304 |
| 1.16961 | 1.491269 |
| 1.17433 | 1.491234 |
| 1.17908 | 1.491199 |
| 1.18385 | 1.491165 |
| 1.18863 | 1.49113 |
| 1.19344 | 1.491096 |
| 1.19826 | 1.491063 |
| 1.2031 | 1.491029 |
| 1.20797 | 1.490996 |
| 1.21285 | 1.490963 |
| 1.21775 | 1.490931 |
| 1.22267 | 1.490899 |
| 1.22761 | 1.490867 |
| 1.23258 | 1.490835 |
| 1.23756 | 1.490803 |
| 1.24256 | 1.490772 |
| 1.24758 | 1.490741 |
| 1.25262 | 1.49071 |
| 1.25769 | 1.49068 |
| 1.26277 | 1.490649 |
| 1.26787 | 1.490619 |
| 1.273 | 1.49059 |
| 1.27814 | 1.49056 |
| 1.28331 | 1.490531 |
| 1.2885 | 1.490502 |
| 1.2937 | 1.490473 |
| 1.29893 | 1.490444 |
| 1.30418 | 1.490416 |
| 1.30945 | 1.490388 |
| 1.31475 | 1.49036 |
| 1.32006 | 1.490332 |
| 1.3254 | 1.490305 |
| 1.33075 | 1.490278 |
| 1.33613 | 1.490251 |
| 1.34153 | 1.490224 |
| 1.34696 | 1.490198 |
| 1.3524 | 1.490171 |
| 1.35787 | 1.490145 |
| 1.36335 | 1.490119 |
| 1.36886 | 1.490093 |
| 1.3744 | 1.490068 |
| 1.37995 | 1.490043 |
| 1.38553 | 1.490018 |
| 1.39113 | 1.489993 |
| 1.39675 | 1.489968 |
| 1.4024 | 1.489944 |
| 1.40807 | 1.489919 |
| 1.41376 | 1.489895 |
| 1.41947 | 1.489871 |
| 1.42521 | 1.489848 |
| 1.43097 | 1.489824 |
| 1.43675 | 1.489801 |
| 1.44256 | 1.489778 |
| 1.44839 | 1.489755 |
| 1.45424 | 1.489732 |
| 1.46012 | 1.48971 |
| 1.46602 | 1.489687 |
| 1.47195 | 1.489665 |
| 1.4779 | 1.489643 |
| 1.48387 | 1.489621 |
| 1.48987 | 1.4896 |
| 1.49589 | 1.489578 |
| 1.50194 | 1.489557 |
| 1.50801 | 1.489536 |
| 1.5141 | 1.489515 |
| 1.52022 | 1.489494 |
| 1.52637 | 1.489474 |
| 1.53254 | 1.489453 |
| 1.53873 | 1.489433 |
| 1.54495 | 1.489413 |
| 1.55119 | 1.489393 |
| 1.55746 | 1.489373 |
| 1.56376 | 1.489353 |
| 1.57008 | 1.489334 |
| 1.57643 | 1.489315 |
| 1.5828 | 1.489295 |
| 1.58919 | 1.489276 |
| 1.59562 | 1.489258 |
| 1.60207 | 1.489239 |
| 1.60854 | 1.48922 |
| 1.61504 | 1.489202 |
| 1.62157 | 1.489184 |
| 1.62813 | 1.489166 |
| 1.63471 | 1.489148 |
| 1.64131 | 1.48913 |
| 1.64795 | 1.489112 |
| 1.65461 | 1.489095 |
| 1.6613 | 1.489077 |
| 1.66801 | 1.48906 |
| 1.67475 | 1.489043 |
| 1.68152 | 1.489026 |
| 1.68832 | 1.489009 |
| 1.69514 | 1.488993 |
| 1.70199 | 1.488976 |
| 1.70887 | 1.48896 |
| 1.71578 | 1.488943 |
| 1.72271 | 1.488927 |
| 1.72968 | 1.488911 |
| 1.73667 | 1.488895 |
| 1.74369 | 1.48888 |
| 1.75074 | 1.488864 |
| 1.75781 | 1.488849 |
| 1.76492 | 1.488833 |
| 1.77205 | 1.488818 |
| 1.77921 | 1.488803 |
| 1.7864 | 1.488788 |
| 1.79362 | 1.488773 |
| 1.80087 | 1.488758 |
| 1.80815 | 1.488744 |
| 1.81546 | 1.488729 |
| 1.8228 | 1.488715 |
| 1.83017 | 1.4887 |
| 1.83756 | 1.488686 |
| 1.84499 | 1.488672 |
| 1.85245 | 1.488658 |
| 1.85993 | 1.488644 |
| 1.86745 | 1.488631 |
| 1.875 | 1.488617 |
| 1.88258 | 1.488604 |
| 1.89019 | 1.48859 |
| 1.89783 | 1.488577 |
| 1.9055 | 1.488564 |
| 1.9132 | 1.488551 |
| 1.92093 | 1.488538 |
| 1.9287 | 1.488525 |
| 1.93649 | 1.488512 |
| 1.94432 | 1.488499 |
| 1.95218 | 1.488487 |
| 1.96007 | 1.488474 |
| 1.96799 | 1.488462 |
| 1.97594 | 1.48845 |
| 1.98393 | 1.488438 |
| 1.99195 | 1.488426 |
| 2 | 1.488414 |
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
- —
21.5–22.0 °C.