Optical constants
Refractive index of CsPb(Br,Cl)3 (Cesium lead tribromide - Cesium lead trichloride)
Ermolaev et al. 2023: Br-1.8, Cl-1.2; n,k(o) 0.464–0.700 µm
- Data
- tabulated nk
- Range
- 0.464–0.7 µm
- Points
- 237
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.15879
- Extinction coefficient k
- 0
- Permittivity ε1
- 4.66038
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.93 µm⁻¹
- Group index ng
- 2.70526
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — 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
# CsPb(Br,Cl)3 (Cesium lead tribromide - Cesium lead trichloride): Ermolaev et al. 2023: Br-1.8, Cl-1.2; n,k(o) 0.464–0.700 µm
cspb = ls.fetch_refractiveindex("other", "CsPb_BrCl_3", "Ermolaev-Br1.8Cl1.2-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cspb.range_nm) # (464, 700) nm
eps = cspb.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_f37ca6076156/lightsmith"
cspb = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cspb.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (cspb-brcl-3/ermolaev-2023-br1-8cl1-2-o).
# ... load cspb as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cspb)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=464, stop_nm=700, 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.
Comments and conditions
Conditions
- direction
- o
References
- doi:10.1021/acs.nanolett.2c04792 Giant and Tunable Excitonic Optical Anisotropy in Single-Crystal Halide Perovskites, Nano Letters (2023)
Cite
Georgy Ermolaev et al.. Giant and Tunable Excitonic Optical Anisotropy in Single-Crystal Halide Perovskites. Nano Letters, 23, 2570-2577 (2023), doi:10.1021/acs.nanolett.2c04792; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
237 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.464 | 2.12798 | 0.27815 |
| 0.465 | 2.12867 | 0.2952 |
| 0.466 | 2.13106 | 0.31379 |
| 0.467 | 2.13561 | 0.33393 |
| 0.468 | 2.14288 | 0.35556 |
| 0.469 | 2.15355 | 0.37851 |
| 0.47 | 2.1684 | 0.40236 |
| 0.471 | 2.18827 | 0.42644 |
| 0.472 | 2.21395 | 0.44968 |
| 0.473 | 2.24606 | 0.47055 |
| 0.474 | 2.28477 | 0.48705 |
| 0.475 | 2.32952 | 0.49684 |
| 0.476 | 2.37874 | 0.49754 |
| 0.477 | 2.42974 | 0.48725 |
| 0.478 | 2.47894 | 0.46523 |
| 0.479 | 2.52248 | 0.43231 |
| 0.48 | 2.55717 | 0.39094 |
| 0.481 | 2.58116 | 0.3446 |
| 0.482 | 2.59425 | 0.29698 |
| 0.483 | 2.59759 | 0.25116 |
| 0.484 | 2.5931 | 0.20924 |
| 0.485 | 2.5829 | 0.17229 |
| 0.486 | 2.56892 | 0.14061 |
| 0.487 | 2.55272 | 0.11395 |
| 0.488 | 2.53545 | 0.09182 |
| 0.489 | 2.51793 | 0.07362 |
| 0.49 | 2.50068 | 0.05875 |
| 0.491 | 2.48404 | 0.04663 |
| 0.492 | 2.46819 | 0.0368 |
| 0.493 | 2.45322 | 0.02884 |
| 0.494 | 2.43916 | 0.02241 |
| 0.495 | 2.42601 | 0.01723 |
| 0.496 | 2.41372 | 0.01307 |
| 0.497 | 2.40226 | 0.00976 |
| 0.498 | 2.39157 | 0.00713 |
| 0.499 | 2.38159 | 0.00506 |
| 0.5 | 2.37229 | 0.00346 |
| 0.501 | 2.3636 | 0.00225 |
| 0.502 | 2.35548 | 0.00135 |
| 0.503 | 2.34789 | 0.000722 |
| 0.504 | 2.3408 | 0.000309 |
| 0.505 | 2.33417 | 7.9e-05 |
| 0.506 | 2.32798 | 1e-06 |
| 0.507 | 2.32226 | 0.0 |
| 0.508 | 2.31691 | 0.0 |
| 0.509 | 2.31187 | 0.0 |
| 0.51 | 2.30708 | 0.0 |
| 0.511 | 2.30254 | 0.0 |
| 0.512 | 2.2982 | 0.0 |
| 0.513 | 2.29406 | 0.0 |
| 0.514 | 2.29009 | 0.0 |
| 0.515 | 2.28628 | 0.0 |
| 0.516 | 2.28261 | 0.0 |
| 0.517 | 2.27908 | 0.0 |
| 0.518 | 2.27568 | 0.0 |
| 0.519 | 2.27239 | 0.0 |
| 0.52 | 2.26921 | 0.0 |
| 0.521 | 2.26613 | 0.0 |
| 0.522 | 2.26315 | 0.0 |
| 0.523 | 2.26026 | 0.0 |
| 0.524 | 2.25745 | 0.0 |
| 0.525 | 2.25473 | 0.0 |
| 0.526 | 2.25207 | 0.0 |
| 0.527 | 2.24949 | 0.0 |
| 0.528 | 2.24698 | 0.0 |
| 0.529 | 2.24453 | 0.0 |
| 0.53 | 2.24214 | 0.0 |
| 0.531 | 2.23981 | 0.0 |
| 0.532 | 2.23754 | 0.0 |
| 0.533 | 2.23532 | 0.0 |
| 0.534 | 2.23315 | 0.0 |
| 0.535 | 2.23103 | 0.0 |
| 0.536 | 2.22895 | 0.0 |
| 0.537 | 2.22692 | 0.0 |
| 0.538 | 2.22493 | 0.0 |
| 0.539 | 2.22299 | 0.0 |
| 0.54 | 2.22108 | 0.0 |
| 0.541 | 2.21921 | 0.0 |
| 0.542 | 2.21738 | 0.0 |
| 0.543 | 2.21558 | 0.0 |
| 0.544 | 2.21382 | 0.0 |
| 0.545 | 2.21209 | 0.0 |
| 0.546 | 2.21039 | 0.0 |
| 0.547 | 2.20872 | 0.0 |
| 0.548 | 2.20708 | 0.0 |
| 0.549 | 2.20547 | 0.0 |
| 0.55 | 2.20389 | 0.0 |
| 0.551 | 2.20234 | 0.0 |
| 0.552 | 2.20081 | 0.0 |
| 0.553 | 2.1993 | 0.0 |
| 0.554 | 2.19783 | 0.0 |
| 0.555 | 2.19637 | 0.0 |
| 0.556 | 2.19494 | 0.0 |
| 0.557 | 2.19353 | 0.0 |
| 0.558 | 2.19214 | 0.0 |
| 0.559 | 2.19078 | 0.0 |
| 0.56 | 2.18943 | 0.0 |
| 0.561 | 2.18811 | 0.0 |
| 0.562 | 2.1868 | 0.0 |
| 0.563 | 2.18552 | 0.0 |
| 0.564 | 2.18425 | 0.0 |
| 0.565 | 2.183 | 0.0 |
| 0.566 | 2.18177 | 0.0 |
| 0.567 | 2.18055 | 0.0 |
| 0.568 | 2.17936 | 0.0 |
| 0.569 | 2.17818 | 0.0 |
| 0.57 | 2.17701 | 0.0 |
| 0.571 | 2.17586 | 0.0 |
| 0.572 | 2.17473 | 0.0 |
| 0.573 | 2.17361 | 0.0 |
| 0.574 | 2.17251 | 0.0 |
| 0.575 | 2.17142 | 0.0 |
| 0.576 | 2.17034 | 0.0 |
| 0.577 | 2.16928 | 0.0 |
| 0.578 | 2.16823 | 0.0 |
| 0.579 | 2.16719 | 0.0 |
| 0.58 | 2.16617 | 0.0 |
| 0.581 | 2.16516 | 0.0 |
| 0.582 | 2.16416 | 0.0 |
| 0.583 | 2.16318 | 0.0 |
| 0.584 | 2.1622 | 0.0 |
| 0.585 | 2.16124 | 0.0 |
| 0.586 | 2.16029 | 0.0 |
| 0.587 | 2.15935 | 0.0 |
| 0.588 | 2.15842 | 0.0 |
| 0.589 | 2.1575 | 0.0 |
| 0.59 | 2.15659 | 0.0 |
| 0.591 | 2.1557 | 0.0 |
| 0.592 | 2.15481 | 0.0 |
| 0.593 | 2.15393 | 0.0 |
| 0.594 | 2.15306 | 0.0 |
| 0.595 | 2.15221 | 0.0 |
| 0.596 | 2.15136 | 0.0 |
| 0.597 | 2.15052 | 0.0 |
| 0.598 | 2.14969 | 0.0 |
| 0.599 | 2.14887 | 0.0 |
| 0.6 | 2.14805 | 0.0 |
| 0.601 | 2.14725 | 0.0 |
| 0.602 | 2.14646 | 0.0 |
| 0.603 | 2.14567 | 0.0 |
| 0.604 | 2.14489 | 0.0 |
| 0.605 | 2.14412 | 0.0 |
| 0.606 | 2.14335 | 0.0 |
| 0.607 | 2.1426 | 0.0 |
| 0.608 | 2.14185 | 0.0 |
| 0.609 | 2.14111 | 0.0 |
| 0.61 | 2.14038 | 0.0 |
| 0.611 | 2.13965 | 0.0 |
| 0.612 | 2.13894 | 0.0 |
| 0.613 | 2.13822 | 0.0 |
| 0.614 | 2.13752 | 0.0 |
| 0.615 | 2.13682 | 0.0 |
| 0.616 | 2.13613 | 0.0 |
| 0.617 | 2.13545 | 0.0 |
| 0.618 | 2.13477 | 0.0 |
| 0.619 | 2.1341 | 0.0 |
| 0.62 | 2.13343 | 0.0 |
| 0.621 | 2.13278 | 0.0 |
| 0.622 | 2.13212 | 0.0 |
| 0.623 | 2.13148 | 0.0 |
| 0.624 | 2.13084 | 0.0 |
| 0.625 | 2.1302 | 0.0 |
| 0.626 | 2.12957 | 0.0 |
| 0.627 | 2.12895 | 0.0 |
| 0.628 | 2.12833 | 0.0 |
| 0.629 | 2.12772 | 0.0 |
| 0.63 | 2.12712 | 0.0 |
| 0.631 | 2.12651 | 0.0 |
| 0.632 | 2.12592 | 0.0 |
| 0.633 | 2.12533 | 0.0 |
| 0.634 | 2.12474 | 0.0 |
| 0.635 | 2.12417 | 0.0 |
| 0.636 | 2.12359 | 0.0 |
| 0.637 | 2.12302 | 0.0 |
| 0.638 | 2.12246 | 0.0 |
| 0.639 | 2.12189 | 0.0 |
| 0.64 | 2.12134 | 0.0 |
| 0.641 | 2.12079 | 0.0 |
| 0.642 | 2.12024 | 0.0 |
| 0.643 | 2.1197 | 0.0 |
| 0.644 | 2.11917 | 0.0 |
| 0.645 | 2.11863 | 0.0 |
| 0.646 | 2.1181 | 0.0 |
| 0.647 | 2.11758 | 0.0 |
| 0.648 | 2.11706 | 0.0 |
| 0.649 | 2.11655 | 0.0 |
| 0.65 | 2.11604 | 0.0 |
| 0.651 | 2.11553 | 0.0 |
| 0.652 | 2.11503 | 0.0 |
| 0.653 | 2.11453 | 0.0 |
| 0.654 | 2.11403 | 0.0 |
| 0.655 | 2.11354 | 0.0 |
| 0.656 | 2.11306 | 0.0 |
| 0.657 | 2.11258 | 0.0 |
| 0.658 | 2.1121 | 0.0 |
| 0.659 | 2.11162 | 0.0 |
| 0.66 | 2.11115 | 0.0 |
| 0.661 | 2.11068 | 0.0 |
| 0.662 | 2.11022 | 0.0 |
| 0.663 | 2.10976 | 0.0 |
| 0.664 | 2.1093 | 0.0 |
| 0.665 | 2.10885 | 0.0 |
| 0.666 | 2.1084 | 0.0 |
| 0.667 | 2.10795 | 0.0 |
| 0.668 | 2.10751 | 0.0 |
| 0.669 | 2.10707 | 0.0 |
| 0.67 | 2.10663 | 0.0 |
| 0.671 | 2.1062 | 0.0 |
| 0.672 | 2.10577 | 0.0 |
| 0.673 | 2.10534 | 0.0 |
| 0.674 | 2.10492 | 0.0 |
| 0.675 | 2.1045 | 0.0 |
| 0.676 | 2.10408 | 0.0 |
| 0.677 | 2.10367 | 0.0 |
| 0.678 | 2.10325 | 0.0 |
| 0.679 | 2.10285 | 0.0 |
| 0.68 | 2.10244 | 0.0 |
| 0.681 | 2.10204 | 0.0 |
| 0.682 | 2.10164 | 0.0 |
| 0.683 | 2.10124 | 0.0 |
| 0.684 | 2.10085 | 0.0 |
| 0.685 | 2.10046 | 0.0 |
| 0.686 | 2.10007 | 0.0 |
| 0.687 | 2.09968 | 0.0 |
| 0.688 | 2.0993 | 0.0 |
| 0.689 | 2.09892 | 0.0 |
| 0.69 | 2.09854 | 0.0 |
| 0.691 | 2.09817 | 0.0 |
| 0.692 | 2.0978 | 0.0 |
| 0.693 | 2.09743 | 0.0 |
| 0.694 | 2.09706 | 0.0 |
| 0.695 | 2.0967 | 0.0 |
| 0.696 | 2.09633 | 0.0 |
| 0.697 | 2.09597 | 0.0 |
| 0.698 | 2.09562 | 0.0 |
| 0.699 | 2.09526 | 0.0 |
| 0.7 | 2.09491 | 0.0 |
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
- —
CsPbBr1.8Cl1.2 monocrystal. Ordinary ray (o).