Optical constants
Refractive index of TlBr (Thallium bromide)
Palik 1985: n 0.57–39.4 µm
- Data
- formula 1
- Range
- 0.57–39.4 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.61525
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.83953
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.10609 µm⁻¹
- Group index ng
- 3.26519
- Group velocity dispersion
- 3205.49 fs²/mm
- Dispersion parameter D
- -17487.7 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
# TlBr (Thallium bromide): Palik 1985: n 0.57–39.4 µm
tlbr = ls.fetch_refractiveindex("main", "TlBr", "Palik", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tlbr.range_nm) # (570, 39400) nm
eps = tlbr.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_f2ac20c493bd/lightsmith"
tlbr = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(tlbr.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (tlbr/palik-1985).
# ... load tlbr as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=tlbr)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=570, 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_f2ac20c493bd/lightsmith?model=drude_lorentz"
tlbr_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 0.57 to 39.4 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 3.744239 |
| C3 | 0.2079603 |
| C4 | 0.9189162 |
| C5 | 0.3765643 |
| C6 | 12.5444602 |
| C7 | 165.6525518 |
Comments and conditions
- no primary reference in the source file
References
Cite
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 |
|---|---|
| 0.57 | 2.636206 |
| 0.576083 | 2.628609 |
| 0.582232 | 2.621319 |
| 0.588446 | 2.614318 |
| 0.594726 | 2.607588 |
| 0.601074 | 2.601115 |
| 0.607489 | 2.594884 |
| 0.613972 | 2.588883 |
| 0.620525 | 2.583099 |
| 0.627148 | 2.577521 |
| 0.633841 | 2.572139 |
| 0.640606 | 2.566943 |
| 0.647443 | 2.561925 |
| 0.654353 | 2.557075 |
| 0.661337 | 2.552386 |
| 0.668396 | 2.547851 |
| 0.675529 | 2.543463 |
| 0.682739 | 2.539215 |
| 0.690026 | 2.535102 |
| 0.69739 | 2.531117 |
| 0.704833 | 2.527256 |
| 0.712356 | 2.523512 |
| 0.719959 | 2.519883 |
| 0.727643 | 2.516362 |
| 0.735409 | 2.512945 |
| 0.743258 | 2.50963 |
| 0.75119 | 2.506411 |
| 0.759208 | 2.503286 |
| 0.76731 | 2.50025 |
| 0.7755 | 2.497301 |
| 0.783777 | 2.494435 |
| 0.792142 | 2.491649 |
| 0.800596 | 2.488941 |
| 0.809141 | 2.486308 |
| 0.817776 | 2.483747 |
| 0.826504 | 2.481256 |
| 0.835325 | 2.478832 |
| 0.844241 | 2.476474 |
| 0.853251 | 2.474178 |
| 0.862358 | 2.471944 |
| 0.871562 | 2.469768 |
| 0.880864 | 2.46765 |
| 0.890265 | 2.465587 |
| 0.899766 | 2.463578 |
| 0.909369 | 2.461621 |
| 0.919075 | 2.459714 |
| 0.928884 | 2.457856 |
| 0.938798 | 2.456045 |
| 0.948818 | 2.45428 |
| 0.958944 | 2.45256 |
| 0.969179 | 2.450883 |
| 0.979523 | 2.449247 |
| 0.989977 | 2.447653 |
| 1.00054 | 2.446098 |
| 1.01122 | 2.444581 |
| 1.02201 | 2.443102 |
| 1.03292 | 2.441659 |
| 1.04395 | 2.440251 |
| 1.05509 | 2.438878 |
| 1.06635 | 2.437538 |
| 1.07773 | 2.43623 |
| 1.08923 | 2.434953 |
| 1.10086 | 2.433707 |
| 1.11261 | 2.432491 |
| 1.12448 | 2.431304 |
| 1.13648 | 2.430146 |
| 1.14861 | 2.429014 |
| 1.16087 | 2.427909 |
| 1.17326 | 2.426831 |
| 1.18578 | 2.425777 |
| 1.19844 | 2.424749 |
| 1.21123 | 2.423744 |
| 1.22416 | 2.422762 |
| 1.23722 | 2.421804 |
| 1.25043 | 2.420867 |
| 1.26377 | 2.419953 |
| 1.27726 | 2.419059 |
| 1.29089 | 2.418186 |
| 1.30467 | 2.417333 |
| 1.31859 | 2.416499 |
| 1.33267 | 2.415684 |
| 1.34689 | 2.414888 |
| 1.36126 | 2.41411 |
| 1.37579 | 2.41335 |
| 1.39048 | 2.412606 |
| 1.40532 | 2.41188 |
| 1.42032 | 2.41117 |
| 1.43547 | 2.410475 |
| 1.45079 | 2.409797 |
| 1.46628 | 2.409133 |
| 1.48193 | 2.408484 |
| 1.49774 | 2.40785 |
| 1.51373 | 2.40723 |
| 1.52988 | 2.406623 |
| 1.54621 | 2.40603 |
| 1.56272 | 2.40545 |
| 1.57939 | 2.404882 |
| 1.59625 | 2.404328 |
| 1.61329 | 2.403785 |
| 1.63051 | 2.403254 |
| 1.64791 | 2.402735 |
| 1.6655 | 2.402227 |
| 1.68327 | 2.40173 |
| 1.70124 | 2.401244 |
| 1.71939 | 2.400768 |
| 1.73774 | 2.400303 |
| 1.75629 | 2.399847 |
| 1.77503 | 2.399402 |
| 1.79398 | 2.398966 |
| 1.81313 | 2.398539 |
| 1.83248 | 2.398121 |
| 1.85204 | 2.397713 |
| 1.8718 | 2.397313 |
| 1.89178 | 2.396921 |
| 1.91197 | 2.396538 |
| 1.93238 | 2.396162 |
| 1.953 | 2.395795 |
| 1.97384 | 2.395435 |
| 1.99491 | 2.395083 |
| 2.0162 | 2.394738 |
| 2.03772 | 2.394401 |
| 2.05947 | 2.39407 |
| 2.08145 | 2.393746 |
| 2.10366 | 2.393429 |
| 2.12612 | 2.393118 |
| 2.14881 | 2.392814 |
| 2.17174 | 2.392516 |
| 2.19492 | 2.392224 |
| 2.21834 | 2.391938 |
| 2.24202 | 2.391657 |
| 2.26595 | 2.391383 |
| 2.29013 | 2.391113 |
| 2.31458 | 2.39085 |
| 2.33928 | 2.390591 |
| 2.36425 | 2.390337 |
| 2.38948 | 2.390089 |
| 2.41498 | 2.389845 |
| 2.44076 | 2.389606 |
| 2.46681 | 2.389372 |
| 2.49313 | 2.389142 |
| 2.51974 | 2.388917 |
| 2.54663 | 2.388696 |
| 2.57381 | 2.388479 |
| 2.60128 | 2.388266 |
| 2.62905 | 2.388057 |
| 2.65711 | 2.387852 |
| 2.68547 | 2.387651 |
| 2.71413 | 2.387453 |
| 2.74309 | 2.38726 |
| 2.77237 | 2.387069 |
| 2.80196 | 2.386882 |
| 2.83186 | 2.386699 |
| 2.86209 | 2.386518 |
| 2.89263 | 2.386341 |
| 2.92351 | 2.386167 |
| 2.95471 | 2.385996 |
| 2.98624 | 2.385827 |
| 3.01812 | 2.385662 |
| 3.05033 | 2.385499 |
| 3.08288 | 2.385339 |
| 3.11579 | 2.385182 |
| 3.14904 | 2.385027 |
| 3.18265 | 2.384874 |
| 3.21662 | 2.384724 |
| 3.25095 | 2.384576 |
| 3.28564 | 2.384431 |
| 3.32071 | 2.384287 |
| 3.35615 | 2.384146 |
| 3.39197 | 2.384007 |
| 3.42817 | 2.383869 |
| 3.46476 | 2.383734 |
| 3.50174 | 2.3836 |
| 3.53911 | 2.383468 |
| 3.57689 | 2.383338 |
| 3.61506 | 2.38321 |
| 3.65364 | 2.383083 |
| 3.69264 | 2.382958 |
| 3.73205 | 2.382834 |
| 3.77188 | 2.382712 |
| 3.81214 | 2.382591 |
| 3.85282 | 2.382471 |
| 3.89394 | 2.382353 |
| 3.9355 | 2.382235 |
| 3.97751 | 2.382119 |
| 4.01996 | 2.382004 |
| 4.06286 | 2.381891 |
| 4.10622 | 2.381778 |
| 4.15005 | 2.381666 |
| 4.19434 | 2.381554 |
| 4.23911 | 2.381444 |
| 4.28435 | 2.381335 |
| 4.33008 | 2.381226 |
| 4.37629 | 2.381118 |
| 4.423 | 2.38101 |
| 4.4702 | 2.380904 |
| 4.51791 | 2.380797 |
| 4.56613 | 2.380691 |
| 4.61487 | 2.380586 |
| 4.66412 | 2.380481 |
| 4.7139 | 2.380376 |
| 4.76421 | 2.380272 |
| 4.81506 | 2.380168 |
| 4.86645 | 2.380064 |
| 4.91839 | 2.37996 |
| 4.97088 | 2.379857 |
| 5.02393 | 2.379753 |
| 5.07755 | 2.379649 |
| 5.13174 | 2.379546 |
| 5.18651 | 2.379442 |
| 5.24187 | 2.379338 |
| 5.29781 | 2.379234 |
| 5.35436 | 2.37913 |
| 5.4115 | 2.379026 |
| 5.46926 | 2.378921 |
| 5.52763 | 2.378816 |
| 5.58663 | 2.37871 |
| 5.64625 | 2.378604 |
| 5.70651 | 2.378497 |
| 5.76742 | 2.37839 |
| 5.82897 | 2.378282 |
| 5.89118 | 2.378174 |
| 5.95406 | 2.378065 |
| 6.0176 | 2.377955 |
| 6.08183 | 2.377844 |
| 6.14674 | 2.377732 |
| 6.21234 | 2.37762 |
| 6.27864 | 2.377507 |
| 6.34566 | 2.377392 |
| 6.41338 | 2.377277 |
| 6.48183 | 2.37716 |
| 6.55101 | 2.377042 |
| 6.62093 | 2.376923 |
| 6.69159 | 2.376803 |
| 6.76301 | 2.376681 |
| 6.83519 | 2.376558 |
| 6.90814 | 2.376433 |
| 6.98187 | 2.376307 |
| 7.05639 | 2.37618 |
| 7.1317 | 2.376051 |
| 7.20781 | 2.37592 |
| 7.28474 | 2.375787 |
| 7.36249 | 2.375653 |
| 7.44107 | 2.375516 |
| 7.52048 | 2.375378 |
| 7.60075 | 2.375238 |
| 7.68187 | 2.375096 |
| 7.76386 | 2.374951 |
| 7.84672 | 2.374805 |
| 7.93047 | 2.374656 |
| 8.01511 | 2.374505 |
| 8.10065 | 2.374351 |
| 8.18711 | 2.374195 |
| 8.27449 | 2.374037 |
| 8.3628 | 2.373876 |
| 8.45205 | 2.373712 |
| 8.54226 | 2.373545 |
| 8.63343 | 2.373376 |
| 8.72557 | 2.373204 |
| 8.8187 | 2.373028 |
| 8.91282 | 2.37285 |
| 9.00794 | 2.372669 |
| 9.10408 | 2.372484 |
| 9.20125 | 2.372296 |
| 9.29945 | 2.372104 |
| 9.3987 | 2.371909 |
| 9.49901 | 2.371711 |
| 9.60039 | 2.371509 |
| 9.70286 | 2.371303 |
| 9.80641 | 2.371093 |
| 9.91108 | 2.370879 |
| 10.0169 | 2.370661 |
| 10.1238 | 2.370439 |
| 10.2318 | 2.370212 |
| 10.341 | 2.369982 |
| 10.4514 | 2.369746 |
| 10.5629 | 2.369507 |
| 10.6757 | 2.369262 |
| 10.7896 | 2.369013 |
| 10.9048 | 2.368759 |
| 11.0211 | 2.368499 |
| 11.1388 | 2.368235 |
| 11.2577 | 2.367965 |
| 11.3778 | 2.36769 |
| 11.4992 | 2.367409 |
| 11.622 | 2.367122 |
| 11.746 | 2.36683 |
| 11.8714 | 2.366532 |
| 11.9981 | 2.366227 |
| 12.1261 | 2.365917 |
| 12.2555 | 2.3656 |
| 12.3863 | 2.365276 |
| 12.5185 | 2.364946 |
| 12.6521 | 2.364609 |
| 12.7872 | 2.364264 |
| 12.9237 | 2.363913 |
| 13.0616 | 2.363554 |
| 13.201 | 2.363188 |
| 13.3419 | 2.362814 |
| 13.4843 | 2.362433 |
| 13.6282 | 2.362043 |
| 13.7736 | 2.361645 |
| 13.9206 | 2.361238 |
| 14.0692 | 2.360823 |
| 14.2194 | 2.360399 |
| 14.3711 | 2.359966 |
| 14.5245 | 2.359524 |
| 14.6795 | 2.359072 |
| 14.8362 | 2.358611 |
| 14.9946 | 2.35814 |
| 15.1546 | 2.357658 |
| 15.3163 | 2.357167 |
| 15.4798 | 2.356664 |
| 15.645 | 2.356151 |
| 15.812 | 2.355627 |
| 15.9807 | 2.355091 |
| 16.1513 | 2.354544 |
| 16.3237 | 2.353985 |
| 16.4979 | 2.353414 |
| 16.674 | 2.35283 |
| 16.8519 | 2.352234 |
| 17.0318 | 2.351624 |
| 17.2136 | 2.351001 |
| 17.3973 | 2.350365 |
| 17.583 | 2.349715 |
| 17.7706 | 2.34905 |
| 17.9603 | 2.348371 |
| 18.152 | 2.347676 |
| 18.3457 | 2.346967 |
| 18.5415 | 2.346242 |
| 18.7394 | 2.3455 |
| 18.9394 | 2.344743 |
| 19.1415 | 2.343969 |
| 19.3458 | 2.343177 |
| 19.5523 | 2.342368 |
| 19.761 | 2.341541 |
| 19.9719 | 2.340695 |
| 20.185 | 2.339831 |
| 20.4005 | 2.338947 |
| 20.6182 | 2.338043 |
| 20.8383 | 2.33712 |
| 21.0607 | 2.336175 |
| 21.2854 | 2.33521 |
| 21.5126 | 2.334222 |
| 21.7422 | 2.333213 |
| 21.9743 | 2.33218 |
| 22.2088 | 2.331125 |
| 22.4458 | 2.330045 |
| 22.6854 | 2.328941 |
| 22.9275 | 2.327812 |
| 23.1722 | 2.326658 |
| 23.4195 | 2.325477 |
| 23.6695 | 2.324269 |
| 23.9221 | 2.323033 |
| 24.1774 | 2.32177 |
| 24.4354 | 2.320477 |
| 24.6962 | 2.319155 |
| 24.9598 | 2.317803 |
| 25.2262 | 2.316419 |
| 25.4954 | 2.315004 |
| 25.7675 | 2.313555 |
| 26.0426 | 2.312074 |
| 26.3205 | 2.310558 |
| 26.6014 | 2.309007 |
| 26.8853 | 2.307419 |
| 27.1723 | 2.305795 |
| 27.4623 | 2.304133 |
| 27.7554 | 2.302432 |
| 28.0516 | 2.300691 |
| 28.351 | 2.29891 |
| 28.6536 | 2.297086 |
| 28.9594 | 2.29522 |
| 29.2685 | 2.293309 |
| 29.5808 | 2.291353 |
| 29.8966 | 2.28935 |
| 30.2156 | 2.2873 |
| 30.5381 | 2.285201 |
| 30.864 | 2.283052 |
| 31.1935 | 2.280852 |
| 31.5264 | 2.278598 |
| 31.8629 | 2.27629 |
| 32.2029 | 2.273927 |
| 32.5466 | 2.271506 |
| 32.894 | 2.269027 |
| 33.245 | 2.266487 |
| 33.5999 | 2.263885 |
| 33.9585 | 2.261219 |
| 34.3209 | 2.258488 |
| 34.6872 | 2.255689 |
| 35.0574 | 2.252822 |
| 35.4316 | 2.249883 |
| 35.8097 | 2.246871 |
| 36.1919 | 2.243784 |
| 36.5782 | 2.24062 |
| 36.9686 | 2.237376 |
| 37.3631 | 2.23405 |
| 37.7619 | 2.23064 |
| 38.1649 | 2.227143 |
| 38.5723 | 2.223558 |
| 38.9839 | 2.21988 |
| 39.4 | 2.216108 |
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