Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.30444
Extinction coefficient k: 0

Permittivity ε₁: 5.31046
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -1.76 µm⁻¹

Group index n_g: 3.33862
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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

# CsPbBr3 (Cesium lead tribromide): Ermolaev et al. 2023: n,k(o) 0.500–0.949 µm
cspbbr3 = ls.fetch_refractiveindex("other", "CsPbBr3", "Ermolaev-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cspbbr3.range_nm)  # (500, 949) nm
eps = cspbbr3.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_51269c791dc6/lightsmith"
cspbbr3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cspbbr3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cspbbr3/ermolaev-2023-o).

# ... load cspbbr3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cspbbr3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=500, stop_nm=949, 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"]).

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

CsPbBr₃ monocrystal. Ordinary ray (o).

Conditions

direction: o

References

G. Ermolaev, A. P. Pushkarev, A. Zhizhchenko, A. A. Kuchmizhak, I. Iorsh, I. Kruglov, A. Mazitov, A. Ishteev, K. Konstantinova, D. Saranin, A. Slavich, D. Stosic, E. S. Zhukova, G. Tselikov, A. D. Carlo, A. Arsenin, K. S. Novoselov, S. V. Makarov, V. S. Volkov. Giant and tunable excitonic optical anisotropy in single-crystal halide perovskites. Nano Lett. 23, 2570–2577 (2023) (Numerical data kindly provided by Georgy Ermolaev)

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

450 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

CsPbBr3 (Cesium lead tribromide), Ermolaev et al. 2023: n,k(o) 0.500–0.949 µm: n and k versus wavelength
λ (µm)	n	k
0.5	2.2928	0.16069
0.501	2.2877	0.16947
0.502	2.28282	0.17919
0.503	2.27827	0.18998
0.504	2.27417	0.20199
0.505	2.27071	0.21539
0.506	2.26811	0.23034
0.507	2.26672	0.24702
0.508	2.26696	0.26561
0.509	2.26942	0.28622
0.51	2.27484	0.30888
0.511	2.28417	0.33341
0.512	2.29855	0.35935
0.513	2.31925	0.38574
0.514	2.34747	0.41095
0.515	2.38401	0.43251
0.516	2.42873	0.4472
0.517	2.47991	0.45142
0.518	2.53393	0.44222
0.519	2.5856	0.41847
0.52	2.62947	0.38172
0.521	2.66147	0.33605
0.522	2.68011	0.28668
0.523	2.68637	0.23836
0.524	2.68277	0.19433
0.525	2.67224	0.1562
0.526	2.65742	0.12431
0.527	2.64034	0.09823
0.528	2.62239	0.07721
0.529	2.60449	0.06042
0.53	2.58716	0.04707
0.531	2.5707	0.0365
0.532	2.55524	0.02813
0.533	2.54082	0.02151
0.534	2.52742	0.0163
0.535	2.51499	0.01219
0.536	2.50346	0.00898
0.537	2.49277	0.00647
0.538	2.48285	0.00454
0.539	2.47362	0.00306
0.54	2.46503	0.00196
0.541	2.45703	0.00116
0.542	2.44956	0.000603
0.543	2.44258	0.000249
0.544	2.43606	5.7e-05
0.545	2.42998	0.0
0.546	2.42433	0.0
0.547	2.41903	0.0
0.548	2.41402	0.0
0.549	2.40925	0.0
0.55	2.40471	0.0
0.551	2.40037	0.0
0.552	2.39621	0.0
0.553	2.39222	0.0
0.554	2.38837	0.0
0.555	2.38467	0.0
0.556	2.38109	0.0
0.557	2.37763	0.0
0.558	2.37428	0.0
0.559	2.37103	0.0
0.56	2.36787	0.0
0.561	2.36481	0.0
0.562	2.36183	0.0
0.563	2.35893	0.0
0.564	2.35611	0.0
0.565	2.35336	0.0
0.566	2.35067	0.0
0.567	2.34805	0.0
0.568	2.34549	0.0
0.569	2.34299	0.0
0.57	2.34055	0.0
0.571	2.33815	0.0
0.572	2.33581	0.0
0.573	2.33351	0.0
0.574	2.33126	0.0
0.575	2.32906	0.0
0.576	2.32689	0.0
0.577	2.32477	0.0
0.578	2.32269	0.0
0.579	2.32064	0.0
0.58	2.31864	0.0
0.581	2.31666	0.0
0.582	2.31472	0.0
0.583	2.31282	0.0
0.584	2.31094	0.0
0.585	2.3091	0.0
0.586	2.30729	0.0
0.587	2.3055	0.0
0.588	2.30374	0.0
0.589	2.30201	0.0
0.59	2.30031	0.0
0.591	2.29863	0.0
0.592	2.29698	0.0
0.593	2.29535	0.0
0.594	2.29374	0.0
0.595	2.29216	0.0
0.596	2.2906	0.0
0.597	2.28906	0.0
0.598	2.28754	0.0
0.599	2.28604	0.0
0.6	2.28456	0.0
0.601	2.2831	0.0
0.602	2.28167	0.0
0.603	2.28024	0.0
0.604	2.27884	0.0
0.605	2.27746	0.0
0.606	2.27609	0.0
0.607	2.27474	0.0
0.608	2.27341	0.0
0.609	2.27209	0.0
0.61	2.27079	0.0
0.611	2.2695	0.0
0.612	2.26823	0.0
0.613	2.26697	0.0
0.614	2.26573	0.0
0.615	2.2645	0.0
0.616	2.26329	0.0
0.617	2.26209	0.0
0.618	2.2609	0.0
0.619	2.25973	0.0
0.62	2.25857	0.0
0.621	2.25742	0.0
0.622	2.25629	0.0
0.623	2.25516	0.0
0.624	2.25405	0.0
0.625	2.25295	0.0
0.626	2.25186	0.0
0.627	2.25079	0.0
0.628	2.24972	0.0
0.629	2.24867	0.0
0.63	2.24763	0.0
0.631	2.24659	0.0
0.632	2.24557	0.0
0.633	2.24456	0.0
0.634	2.24355	0.0
0.635	2.24256	0.0
0.636	2.24158	0.0
0.637	2.24061	0.0
0.638	2.23964	0.0
0.639	2.23869	0.0
0.64	2.23774	0.0
0.641	2.23681	0.0
0.642	2.23588	0.0
0.643	2.23496	0.0
0.644	2.23405	0.0
0.645	2.23315	0.0
0.646	2.23225	0.0
0.647	2.23137	0.0
0.648	2.23049	0.0
0.649	2.22962	0.0
0.65	2.22876	0.0
0.651	2.22791	0.0
0.652	2.22706	0.0
0.653	2.22622	0.0
0.654	2.22539	0.0
0.655	2.22457	0.0
0.656	2.22375	0.0
0.657	2.22294	0.0
0.658	2.22214	0.0
0.659	2.22134	0.0
0.66	2.22055	0.0
0.661	2.21977	0.0
0.662	2.21899	0.0
0.663	2.21822	0.0
0.664	2.21746	0.0
0.665	2.2167	0.0
0.666	2.21595	0.0
0.667	2.21521	0.0
0.668	2.21447	0.0
0.669	2.21374	0.0
0.67	2.21301	0.0
0.671	2.21229	0.0
0.672	2.21158	0.0
0.673	2.21087	0.0
0.674	2.21017	0.0
0.675	2.20947	0.0
0.676	2.20878	0.0
0.677	2.20809	0.0
0.678	2.20741	0.0
0.679	2.20673	0.0
0.68	2.20606	0.0
0.681	2.2054	0.0
0.682	2.20474	0.0
0.683	2.20408	0.0
0.684	2.20343	0.0
0.685	2.20279	0.0
0.686	2.20215	0.0
0.687	2.20151	0.0
0.688	2.20088	0.0
0.689	2.20026	0.0
0.69	2.19963	0.0
0.691	2.19902	0.0
0.692	2.19841	0.0
0.693	2.1978	0.0
0.694	2.1972	0.0
0.695	2.1966	0.0
0.696	2.196	0.0
0.697	2.19541	0.0
0.698	2.19483	0.0
0.699	2.19425	0.0
0.7	2.19367	0.0
0.701	2.1931	0.0
0.702	2.19253	0.0
0.703	2.19196	0.0
0.704	2.1914	0.0
0.705	2.19084	0.0
0.706	2.19029	0.0
0.707	2.18974	0.0
0.708	2.18919	0.0
0.709	2.18865	0.0
0.71	2.18811	0.0
0.711	2.18758	0.0
0.712	2.18705	0.0
0.713	2.18652	0.0
0.714	2.186	0.0
0.715	2.18548	0.0
0.716	2.18496	0.0
0.717	2.18445	0.0
0.718	2.18394	0.0
0.719	2.18343	0.0
0.72	2.18293	0.0
0.721	2.18243	0.0
0.722	2.18194	0.0
0.723	2.18145	0.0
0.724	2.18096	0.0
0.725	2.18047	0.0
0.726	2.17999	0.0
0.727	2.17951	0.0
0.728	2.17903	0.0
0.729	2.17856	0.0
0.73	2.17809	0.0
0.731	2.17762	0.0
0.732	2.17715	0.0
0.733	2.17669	0.0
0.734	2.17623	0.0
0.735	2.17578	0.0
0.736	2.17533	0.0
0.737	2.17488	0.0
0.738	2.17443	0.0
0.739	2.17399	0.0
0.74	2.17354	0.0
0.741	2.17311	0.0
0.742	2.17267	0.0
0.743	2.17224	0.0
0.744	2.17181	0.0
0.745	2.17138	0.0
0.746	2.17095	0.0
0.747	2.17053	0.0
0.748	2.17011	0.0
0.749	2.16969	0.0
0.75	2.16928	0.0
0.751	2.16886	0.0
0.752	2.16845	0.0
0.753	2.16805	0.0
0.754	2.16764	0.0
0.755	2.16724	0.0
0.756	2.16684	0.0
0.757	2.16644	0.0
0.758	2.16605	0.0
0.759	2.16565	0.0
0.76	2.16526	0.0
0.761	2.16487	0.0
0.762	2.16449	0.0
0.763	2.1641	0.0
0.764	2.16372	0.0
0.765	2.16334	0.0
0.766	2.16297	0.0
0.767	2.16259	0.0
0.768	2.16222	0.0
0.769	2.16185	0.0
0.77	2.16148	0.0
0.771	2.16111	0.0
0.772	2.16075	0.0
0.773	2.16039	0.0
0.774	2.16003	0.0
0.775	2.15967	0.0
0.776	2.15931	0.0
0.777	2.15896	0.0
0.778	2.15861	0.0
0.779	2.15826	0.0
0.78	2.15791	0.0
0.781	2.15756	0.0
0.782	2.15722	0.0
0.783	2.15688	0.0
0.784	2.15654	0.0
0.785	2.1562	0.0
0.786	2.15586	0.0
0.787	2.15553	0.0
0.788	2.15519	0.0
0.789	2.15486	0.0
0.79	2.15453	0.0
0.791	2.15421	0.0
0.792	2.15388	0.0
0.793	2.15355	0.0
0.794	2.15323	0.0
0.795	2.15291	0.0
0.796	2.15259	0.0
0.797	2.15228	0.0
0.798	2.15196	0.0
0.799	2.15165	0.0
0.8	2.15134	0.0
0.801	2.15103	0.0
0.802	2.15072	0.0
0.803	2.15041	0.0
0.804	2.1501	0.0
0.805	2.1498	0.0
0.806	2.1495	0.0
0.807	2.1492	0.0
0.808	2.1489	0.0
0.809	2.1486	0.0
0.81	2.14831	0.0
0.811	2.14801	0.0
0.812	2.14772	0.0
0.813	2.14743	0.0
0.814	2.14714	0.0
0.815	2.14685	0.0
0.816	2.14656	0.0
0.817	2.14628	0.0
0.818	2.146	0.0
0.819	2.14571	0.0
0.82	2.14543	0.0
0.821	2.14515	0.0
0.822	2.14487	0.0
0.823	2.1446	0.0
0.824	2.14432	0.0
0.825	2.14405	0.0
0.826	2.14378	0.0
0.827	2.14351	0.0
0.828	2.14323	0.0
0.829	2.14297	0.0
0.83	2.1427	0.0
0.831	2.14243	0.0
0.832	2.14217	0.0
0.833	2.14191	0.0
0.834	2.14164	0.0
0.835	2.14138	0.0
0.836	2.14113	0.0
0.837	2.14087	0.0
0.838	2.14061	0.0
0.839	2.14036	0.0
0.84	2.1401	0.0
0.841	2.13985	0.0
0.842	2.1396	0.0
0.843	2.13935	0.0
0.844	2.1391	0.0
0.845	2.13885	0.0
0.846	2.1386	0.0
0.847	2.13835	0.0
0.848	2.13811	0.0
0.849	2.13787	0.0
0.85	2.13763	0.0
0.851	2.13739	0.0
0.852	2.13714	0.0
0.853	2.13691	0.0
0.854	2.13667	0.0
0.855	2.13643	0.0
0.856	2.1362	0.0
0.857	2.13596	0.0
0.858	2.13573	0.0
0.859	2.1355	0.0
0.86	2.13527	0.0
0.861	2.13504	0.0
0.862	2.13481	0.0
0.863	2.13458	0.0
0.864	2.13435	0.0
0.865	2.13413	0.0
0.866	2.1339	0.0
0.867	2.13368	0.0
0.868	2.13346	0.0
0.869	2.13324	0.0
0.87	2.13301	0.0
0.871	2.1328	0.0
0.872	2.13258	0.0
0.873	2.13236	0.0
0.874	2.13214	0.0
0.875	2.13193	0.0
0.876	2.13171	0.0
0.877	2.1315	0.0
0.878	2.13129	0.0
0.879	2.13108	0.0
0.88	2.13087	0.0
0.881	2.13066	0.0
0.882	2.13045	0.0
0.883	2.13024	0.0
0.884	2.13003	0.0
0.885	2.12983	0.0
0.886	2.12962	0.0
0.887	2.12942	0.0
0.888	2.12921	0.0
0.889	2.12901	0.0
0.89	2.12881	0.0
0.891	2.12861	0.0
0.892	2.12841	0.0
0.893	2.12821	0.0
0.894	2.12801	0.0
0.895	2.12782	0.0
0.896	2.12762	0.0
0.897	2.12743	0.0
0.898	2.12723	0.0
0.899	2.12704	0.0
0.9	2.12684	0.0
0.901	2.12665	0.0
0.902	2.12646	0.0
0.903	2.12627	0.0
0.904	2.12608	0.0
0.905	2.12589	0.0
0.906	2.12571	0.0
0.907	2.12552	0.0
0.908	2.12533	0.0
0.909	2.12515	0.0
0.91	2.12496	0.0
0.911	2.12478	0.0
0.912	2.1246	0.0
0.913	2.12441	0.0
0.914	2.12423	0.0
0.915	2.12405	0.0
0.916	2.12387	0.0
0.917	2.12369	0.0
0.918	2.12351	0.0
0.919	2.12334	0.0
0.92	2.12316	0.0
0.921	2.12298	0.0
0.922	2.12281	0.0
0.923	2.12263	0.0
0.924	2.12246	0.0
0.925	2.12229	0.0
0.926	2.12211	0.0
0.927	2.12194	0.0
0.928	2.12177	0.0
0.929	2.1216	0.0
0.93	2.12143	0.0
0.931	2.12126	0.0
0.932	2.12109	0.0
0.933	2.12093	0.0
0.934	2.12076	0.0
0.935	2.12059	0.0
0.936	2.12043	0.0
0.937	2.12026	0.0
0.938	2.1201	0.0
0.939	2.11993	0.0
0.94	2.11977	0.0
0.941	2.11961	0.0
0.942	2.11945	0.0
0.943	2.11929	0.0
0.944	2.11913	0.0
0.945	2.11897	0.0
0.946	2.11881	0.0
0.947	2.11865	0.0
0.948	2.11849	0.0
0.949	2.11833	0.0

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Plot