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(e) 0.464–0.700 µm
- Data
- tabulated nk
- Range
- 0.464–0.7 µm
- Points
- 237
- Optical axis
- e
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.06892
- Extinction coefficient k
- 0
- Permittivity ε1
- 4.28041
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.99 µm⁻¹
- Group index ng
- 2.65064
- 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(e) 0.464–0.700 µm
cspb = ls.fetch_refractiveindex("other", "CsPb_BrCl_3", "Ermolaev-Br1.8Cl1.2-e", 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_08cb03c73999/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-e).
# ... 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
- e
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 | 2.24377 | 0.0 |
| 0.465 | 2.24177 | 0.0 |
| 0.466 | 2.23979 | 0.0 |
| 0.467 | 2.23782 | 0.0 |
| 0.468 | 2.23586 | 0.0 |
| 0.469 | 2.23392 | 0.0 |
| 0.47 | 2.23198 | 0.0 |
| 0.471 | 2.23006 | 0.0 |
| 0.472 | 2.22815 | 0.0 |
| 0.473 | 2.22626 | 0.0 |
| 0.474 | 2.22438 | 0.0 |
| 0.475 | 2.2225 | 0.0 |
| 0.476 | 2.22064 | 0.0 |
| 0.477 | 2.21879 | 0.0 |
| 0.478 | 2.21696 | 0.0 |
| 0.479 | 2.21513 | 0.0 |
| 0.48 | 2.21332 | 0.0 |
| 0.481 | 2.21151 | 0.0 |
| 0.482 | 2.20972 | 0.0 |
| 0.483 | 2.20794 | 0.0 |
| 0.484 | 2.20617 | 0.0 |
| 0.485 | 2.20441 | 0.0 |
| 0.486 | 2.20267 | 0.0 |
| 0.487 | 2.20093 | 0.0 |
| 0.488 | 2.1992 | 0.0 |
| 0.489 | 2.19749 | 0.0 |
| 0.49 | 2.19578 | 0.0 |
| 0.491 | 2.19409 | 0.0 |
| 0.492 | 2.1924 | 0.0 |
| 0.493 | 2.19073 | 0.0 |
| 0.494 | 2.18906 | 0.0 |
| 0.495 | 2.18741 | 0.0 |
| 0.496 | 2.18577 | 0.0 |
| 0.497 | 2.18413 | 0.0 |
| 0.498 | 2.18251 | 0.0 |
| 0.499 | 2.18089 | 0.0 |
| 0.5 | 2.17929 | 0.0 |
| 0.501 | 2.17769 | 0.0 |
| 0.502 | 2.17611 | 0.0 |
| 0.503 | 2.17453 | 0.0 |
| 0.504 | 2.17297 | 0.0 |
| 0.505 | 2.17141 | 0.0 |
| 0.506 | 2.16986 | 0.0 |
| 0.507 | 2.16832 | 0.0 |
| 0.508 | 2.16679 | 0.0 |
| 0.509 | 2.16527 | 0.0 |
| 0.51 | 2.16376 | 0.0 |
| 0.511 | 2.16225 | 0.0 |
| 0.512 | 2.16076 | 0.0 |
| 0.513 | 2.15927 | 0.0 |
| 0.514 | 2.1578 | 0.0 |
| 0.515 | 2.15633 | 0.0 |
| 0.516 | 2.15487 | 0.0 |
| 0.517 | 2.15342 | 0.0 |
| 0.518 | 2.15197 | 0.0 |
| 0.519 | 2.15054 | 0.0 |
| 0.52 | 2.14911 | 0.0 |
| 0.521 | 2.14769 | 0.0 |
| 0.522 | 2.14628 | 0.0 |
| 0.523 | 2.14488 | 0.0 |
| 0.524 | 2.14349 | 0.0 |
| 0.525 | 2.1421 | 0.0 |
| 0.526 | 2.14072 | 0.0 |
| 0.527 | 2.13935 | 0.0 |
| 0.528 | 2.13799 | 0.0 |
| 0.529 | 2.13664 | 0.0 |
| 0.53 | 2.13529 | 0.0 |
| 0.531 | 2.13395 | 0.0 |
| 0.532 | 2.13262 | 0.0 |
| 0.533 | 2.13129 | 0.0 |
| 0.534 | 2.12997 | 0.0 |
| 0.535 | 2.12866 | 0.0 |
| 0.536 | 2.12736 | 0.0 |
| 0.537 | 2.12607 | 0.0 |
| 0.538 | 2.12478 | 0.0 |
| 0.539 | 2.1235 | 0.0 |
| 0.54 | 2.12222 | 0.0 |
| 0.541 | 2.12096 | 0.0 |
| 0.542 | 2.1197 | 0.0 |
| 0.543 | 2.11845 | 0.0 |
| 0.544 | 2.1172 | 0.0 |
| 0.545 | 2.11596 | 0.0 |
| 0.546 | 2.11473 | 0.0 |
| 0.547 | 2.1135 | 0.0 |
| 0.548 | 2.11229 | 0.0 |
| 0.549 | 2.11107 | 0.0 |
| 0.55 | 2.10987 | 0.0 |
| 0.551 | 2.10867 | 0.0 |
| 0.552 | 2.10748 | 0.0 |
| 0.553 | 2.10629 | 0.0 |
| 0.554 | 2.10511 | 0.0 |
| 0.555 | 2.10394 | 0.0 |
| 0.556 | 2.10277 | 0.0 |
| 0.557 | 2.10161 | 0.0 |
| 0.558 | 2.10046 | 0.0 |
| 0.559 | 2.09931 | 0.0 |
| 0.56 | 2.09817 | 0.0 |
| 0.561 | 2.09703 | 0.0 |
| 0.562 | 2.0959 | 0.0 |
| 0.563 | 2.09478 | 0.0 |
| 0.564 | 2.09366 | 0.0 |
| 0.565 | 2.09255 | 0.0 |
| 0.566 | 2.09144 | 0.0 |
| 0.567 | 2.09034 | 0.0 |
| 0.568 | 2.08925 | 0.0 |
| 0.569 | 2.08816 | 0.0 |
| 0.57 | 2.08708 | 0.0 |
| 0.571 | 2.086 | 0.0 |
| 0.572 | 2.08493 | 0.0 |
| 0.573 | 2.08386 | 0.0 |
| 0.574 | 2.0828 | 0.0 |
| 0.575 | 2.08175 | 0.0 |
| 0.576 | 2.0807 | 0.0 |
| 0.577 | 2.07965 | 0.0 |
| 0.578 | 2.07862 | 0.0 |
| 0.579 | 2.07758 | 0.0 |
| 0.58 | 2.07655 | 0.0 |
| 0.581 | 2.07553 | 0.0 |
| 0.582 | 2.07451 | 0.0 |
| 0.583 | 2.0735 | 0.0 |
| 0.584 | 2.0725 | 0.0 |
| 0.585 | 2.0715 | 0.0 |
| 0.586 | 2.0705 | 0.0 |
| 0.587 | 2.06951 | 0.0 |
| 0.588 | 2.06852 | 0.0 |
| 0.589 | 2.06754 | 0.0 |
| 0.59 | 2.06656 | 0.0 |
| 0.591 | 2.06559 | 0.0 |
| 0.592 | 2.06462 | 0.0 |
| 0.593 | 2.06366 | 0.0 |
| 0.594 | 2.06271 | 0.0 |
| 0.595 | 2.06175 | 0.0 |
| 0.596 | 2.06081 | 0.0 |
| 0.597 | 2.05987 | 0.0 |
| 0.598 | 2.05893 | 0.0 |
| 0.599 | 2.058 | 0.0 |
| 0.6 | 2.05707 | 0.0 |
| 0.601 | 2.05614 | 0.0 |
| 0.602 | 2.05522 | 0.0 |
| 0.603 | 2.05431 | 0.0 |
| 0.604 | 2.0534 | 0.0 |
| 0.605 | 2.0525 | 0.0 |
| 0.606 | 2.05159 | 0.0 |
| 0.607 | 2.0507 | 0.0 |
| 0.608 | 2.04981 | 0.0 |
| 0.609 | 2.04892 | 0.0 |
| 0.61 | 2.04803 | 0.0 |
| 0.611 | 2.04716 | 0.0 |
| 0.612 | 2.04628 | 0.0 |
| 0.613 | 2.04541 | 0.0 |
| 0.614 | 2.04454 | 0.0 |
| 0.615 | 2.04368 | 0.0 |
| 0.616 | 2.04282 | 0.0 |
| 0.617 | 2.04197 | 0.0 |
| 0.618 | 2.04112 | 0.0 |
| 0.619 | 2.04028 | 0.0 |
| 0.62 | 2.03944 | 0.0 |
| 0.621 | 2.0386 | 0.0 |
| 0.622 | 2.03776 | 0.0 |
| 0.623 | 2.03694 | 0.0 |
| 0.624 | 2.03611 | 0.0 |
| 0.625 | 2.03529 | 0.0 |
| 0.626 | 2.03447 | 0.0 |
| 0.627 | 2.03366 | 0.0 |
| 0.628 | 2.03285 | 0.0 |
| 0.629 | 2.03204 | 0.0 |
| 0.63 | 2.03124 | 0.0 |
| 0.631 | 2.03044 | 0.0 |
| 0.632 | 2.02965 | 0.0 |
| 0.633 | 2.02886 | 0.0 |
| 0.634 | 2.02807 | 0.0 |
| 0.635 | 2.02729 | 0.0 |
| 0.636 | 2.02651 | 0.0 |
| 0.637 | 2.02574 | 0.0 |
| 0.638 | 2.02496 | 0.0 |
| 0.639 | 2.02419 | 0.0 |
| 0.64 | 2.02343 | 0.0 |
| 0.641 | 2.02267 | 0.0 |
| 0.642 | 2.02191 | 0.0 |
| 0.643 | 2.02116 | 0.0 |
| 0.644 | 2.02041 | 0.0 |
| 0.645 | 2.01966 | 0.0 |
| 0.646 | 2.01892 | 0.0 |
| 0.647 | 2.01817 | 0.0 |
| 0.648 | 2.01744 | 0.0 |
| 0.649 | 2.01671 | 0.0 |
| 0.65 | 2.01598 | 0.0 |
| 0.651 | 2.01525 | 0.0 |
| 0.652 | 2.01453 | 0.0 |
| 0.653 | 2.01381 | 0.0 |
| 0.654 | 2.01309 | 0.0 |
| 0.655 | 2.01238 | 0.0 |
| 0.656 | 2.01167 | 0.0 |
| 0.657 | 2.01096 | 0.0 |
| 0.658 | 2.01025 | 0.0 |
| 0.659 | 2.00956 | 0.0 |
| 0.66 | 2.00886 | 0.0 |
| 0.661 | 2.00816 | 0.0 |
| 0.662 | 2.00747 | 0.0 |
| 0.663 | 2.00678 | 0.0 |
| 0.664 | 2.0061 | 0.0 |
| 0.665 | 2.00542 | 0.0 |
| 0.666 | 2.00474 | 0.0 |
| 0.667 | 2.00406 | 0.0 |
| 0.668 | 2.00339 | 0.0 |
| 0.669 | 2.00272 | 0.0 |
| 0.67 | 2.00206 | 0.0 |
| 0.671 | 2.00139 | 0.0 |
| 0.672 | 2.00073 | 0.0 |
| 0.673 | 2.00007 | 0.0 |
| 0.674 | 1.99942 | 0.0 |
| 0.675 | 1.99877 | 0.0 |
| 0.676 | 1.99812 | 0.0 |
| 0.677 | 1.99747 | 0.0 |
| 0.678 | 1.99683 | 0.0 |
| 0.679 | 1.99619 | 0.0 |
| 0.68 | 1.99555 | 0.0 |
| 0.681 | 1.99492 | 0.0 |
| 0.682 | 1.99429 | 0.0 |
| 0.683 | 1.99366 | 0.0 |
| 0.684 | 1.99303 | 0.0 |
| 0.685 | 1.99241 | 0.0 |
| 0.686 | 1.99179 | 0.0 |
| 0.687 | 1.99117 | 0.0 |
| 0.688 | 1.99055 | 0.0 |
| 0.689 | 1.98994 | 0.0 |
| 0.69 | 1.98933 | 0.0 |
| 0.691 | 1.98872 | 0.0 |
| 0.692 | 1.98812 | 0.0 |
| 0.693 | 1.98751 | 0.0 |
| 0.694 | 1.98692 | 0.0 |
| 0.695 | 1.98632 | 0.0 |
| 0.696 | 1.98572 | 0.0 |
| 0.697 | 1.98513 | 0.0 |
| 0.698 | 1.98454 | 0.0 |
| 0.699 | 1.98395 | 0.0 |
| 0.7 | 1.98337 | 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. Extraordinary ray (e).