Optical constants
Refractive index of CsPb(Br,Cl)3 (Cesium lead tribromide - Cesium lead trichloride)
Ermolaev et al. 2023: Br-1.3, Cl-1.7; n,k(o) 0.455–0.500 µm
- Data
- tabulated nk
- Range
- 0.455–0.5 µm
- Points
- 46
- 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
- 2.30642
- Extinction coefficient k
- 0.00527
- Permittivity ε1
- 5.31955
- Permittivity ε2
- 0.0243097
- Absorption coefficient α
- 1388.36 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 14405.5 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -8.46 µm⁻¹
- Group index ng
- 6.34184
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 2.59925 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-1.3, Cl-1.7; n,k(o) 0.455–0.500 µm
cspb = ls.fetch_refractiveindex("other", "CsPb_BrCl_3", "Ermolaev-Br1.3Cl1.7-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cspb.range_nm) # (455, 500) nm
eps = cspb.eps([477]) # 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_56dc8743bb09/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-br1-3cl1-7-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=455, stop_nm=500, 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
46 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.455 | 2.06523 | 0.41812 |
| 0.456 | 2.12657 | 0.49649 |
| 0.457 | 2.2312 | 0.55354 |
| 0.458 | 2.36386 | 0.5579 |
| 0.459 | 2.48366 | 0.49849 |
| 0.46 | 2.5558 | 0.40108 |
| 0.461 | 2.57843 | 0.30236 |
| 0.462 | 2.56956 | 0.22188 |
| 0.463 | 2.54626 | 0.16233 |
| 0.464 | 2.51849 | 0.11979 |
| 0.465 | 2.49088 | 0.08954 |
| 0.466 | 2.46524 | 0.06784 |
| 0.467 | 2.4421 | 0.05206 |
| 0.468 | 2.42141 | 0.0404 |
| 0.469 | 2.40294 | 0.03164 |
| 0.47 | 2.38642 | 0.02498 |
| 0.471 | 2.37158 | 0.01985 |
| 0.472 | 2.35817 | 0.01585 |
| 0.473 | 2.34598 | 0.01269 |
| 0.474 | 2.33485 | 0.01019 |
| 0.475 | 2.32463 | 0.00818 |
| 0.476 | 2.31518 | 0.00657 |
| 0.477 | 2.30642 | 0.00527 |
| 0.478 | 2.29826 | 0.00421 |
| 0.479 | 2.29061 | 0.00335 |
| 0.48 | 2.28344 | 0.00264 |
| 0.481 | 2.27667 | 0.00207 |
| 0.482 | 2.27027 | 0.0016 |
| 0.483 | 2.2642 | 0.00123 |
| 0.484 | 2.25843 | 0.000918 |
| 0.485 | 2.25292 | 0.000672 |
| 0.486 | 2.24766 | 0.000477 |
| 0.487 | 2.24263 | 0.000325 |
| 0.488 | 2.23779 | 0.000208 |
| 0.489 | 2.23314 | 0.000122 |
| 0.49 | 2.22867 | 6.2e-05 |
| 0.491 | 2.22436 | 2.4e-05 |
| 0.492 | 2.2202 | 4e-06 |
| 0.493 | 2.21618 | 0.0 |
| 0.494 | 2.2123 | 0.0 |
| 0.495 | 2.20854 | 0.0 |
| 0.496 | 2.20489 | 0.0 |
| 0.497 | 2.20134 | 0.0 |
| 0.498 | 2.19789 | 0.0 |
| 0.499 | 2.19452 | 0.0 |
| 0.5 | 2.19123 | 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
- —
CsPbBr1.3Cl1.7 monocrystal. Ordinary ray (o).