Optical constants

Refractive index of CsPbBr3 (Cesium lead tribromide)

Brennan et al. 2024: n,k 0.200–2.50 µm

Data: tabulated nk
Range: 0.2–2.5 µm
Points: 2301
State: crystalline
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.1209
Extinction coefficient k: 5.00000e-06

Permittivity ε₁: 4.49823
Permittivity ε₂: 2.12090e-05

Absorption coefficient α: 1.0693 cm⁻¹
Penetration depth δ = λ/(2πk): 1.87039e+07 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -1.089 µm⁻¹

Group index n_g: 2.7608
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): Brennan et al. 2024: n,k 0.200–2.50 µm
cspbbr3 = ls.fetch_refractiveindex("other", "CsPbBr3", "Brennan", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cspbbr3.range_nm)  # (200, 2500) 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_4dbc5b916e15/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/brennan-2024).

# ... 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=400, 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"]).

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

Likely crystal orientation: <251>; Bridgman-grown, polished crystal; Room temperature.

References

M. C. Brennan, D. M. Krein, E. Rowe, C. L. McCleese, L. Sun, K. G. Berry, P. R. Stevenson, M. A. Susner, T. A. Grusenmeyer. Fundamental optical constants and anti-reflection coating of melt-grown, polished CsPbBr₃. MRS Commun. ASAP (2024) (See Supplementary Information)

doi:10.1557/s43579-024-00576-x Fundamental optical constants and anti-reflection coating of melt-grown, polished CsPbBr3 crystals, MRS Communications (2024)

Cite

Michael C. Brennan et al.. Fundamental optical constants and anti-reflection coating of melt-grown, polished CsPbBr3 crystals. MRS Communications, 14, 900-908 (2024), doi:10.1557/s43579-024-00576-x; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2301 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), Brennan et al. 2024: n,k 0.200–2.50 µm: n and k versus wavelength
λ (µm)	n	k
0.2	1.173075	0.10725
0.201	1.205489	0.12294
0.202	1.234796	0.13286
0.203	1.26048	0.1386
0.204	1.282443	0.14145
0.205	1.300814	0.14247
0.206	1.315892	0.14256
0.207	1.328155	0.1425
0.208	1.338389	0.14278
0.209	1.34722	0.14333
0.21	1.354959	0.14402
0.211	1.36179	0.14474
0.212	1.367822	0.1454
0.213	1.373111	0.14594
0.214	1.377662	0.14628
0.215	1.381413	0.14637
0.216	1.384266	0.14628
0.217	1.386198	0.14611
0.218	1.387214	0.14597
0.219	1.387336	0.14593
0.22	1.386592	0.14609
0.221	1.385022	0.14652
0.222	1.38267	0.1473
0.223	1.379594	0.14849
0.224	1.375853	0.15016
0.225	1.371503	0.15235
0.226	1.366594	0.15509
0.227	1.361179	0.15843
0.228	1.355314	0.16243
0.229	1.349056	0.1671
0.23	1.342469	0.1725
0.231	1.335622	0.17867
0.232	1.328598	0.18562
0.233	1.321475	0.19336
0.234	1.314318	0.20189
0.235	1.307192	0.21121
0.236	1.300162	0.22133
0.237	1.29329	0.23223
0.238	1.286641	0.24391
0.239	1.280281	0.25637
0.24	1.274277	0.26958
0.241	1.268702	0.28351
0.242	1.263622	0.29814
0.243	1.259089	0.3134
0.244	1.255148	0.32925
0.245	1.251832	0.34563
0.246	1.249171	0.3625
0.247	1.247181	0.3798
0.248	1.245872	0.39748
0.249	1.245239	0.4155
0.25	1.245257	0.43381
0.251	1.245867	0.4524
0.252	1.24705	0.47136
0.253	1.248856	0.49075
0.254	1.25136	0.5106
0.255	1.254659	0.53096
0.256	1.25886	0.55181
0.257	1.264086	0.57314
0.258	1.270467	0.59492
0.259	1.278147	0.6171
0.26	1.287287	0.63959
0.261	1.29809	0.66227
0.262	1.310814	0.68487
0.263	1.325513	0.70697
0.264	1.342077	0.7282
0.265	1.360333	0.7483
0.266	1.380078	0.76704
0.267	1.401095	0.78427
0.268	1.423161	0.79987
0.269	1.446049	0.81376
0.27	1.469537	0.8259
0.271	1.4934	0.83625
0.272	1.517403	0.84482
0.273	1.541289	0.85165
0.274	1.564776	0.85688
0.275	1.587727	0.86076
0.276	1.610085	0.86348
0.277	1.631827	0.86518
0.278	1.65295	0.86602
0.279	1.673461	0.86609
0.28	1.693378	0.86549
0.281	1.712728	0.86432
0.282	1.731541	0.86265
0.283	1.749858	0.86054
0.284	1.767725	0.85805
0.285	1.785197	0.85523
0.286	1.802349	0.8521
0.287	1.819275	0.84865
0.288	1.83601	0.8448
0.289	1.852554	0.84051
0.29	1.868894	0.83573
0.291	1.885008	0.83044
0.292	1.900865	0.82461
0.293	1.916432	0.81821
0.294	1.931666	0.81123
0.295	1.946524	0.80366
0.296	1.960952	0.79548
0.297	1.974893	0.78668
0.298	1.988277	0.77727
0.299	2.001023	0.76725
0.3	2.013024	0.75662
0.301	2.024123	0.74545
0.302	2.034221	0.73391
0.303	2.043292	0.72213
0.304	2.051337	0.71026
0.305	2.058373	0.69841
0.306	2.064432	0.68669
0.307	2.069552	0.67521
0.308	2.07378	0.66404
0.309	2.07717	0.65328
0.31	2.079784	0.643
0.311	2.081692	0.63329
0.312	2.082973	0.62422
0.313	2.083714	0.61585
0.314	2.084018	0.60824
0.315	2.084005	0.60145
0.316	2.083827	0.59551
0.317	2.083685	0.59041
0.318	2.083712	0.58602
0.319	2.083984	0.58225
0.32	2.084555	0.579
0.321	2.085461	0.57619
0.322	2.086724	0.57373
0.323	2.088361	0.57155
0.324	2.090375	0.56958
0.325	2.092766	0.56775
0.326	2.095528	0.56601
0.327	2.098645	0.56428
0.328	2.102101	0.56252
0.329	2.105872	0.56069
0.33	2.10993	0.55872
0.331	2.114241	0.55658
0.332	2.118766	0.55423
0.333	2.123456	0.55163
0.334	2.128248	0.54876
0.335	2.133077	0.54564
0.336	2.137903	0.54227
0.337	2.1427	0.53869
0.338	2.147448	0.53491
0.339	2.152129	0.53095
0.34	2.15673	0.52681
0.341	2.161241	0.52252
0.342	2.165651	0.51808
0.343	2.169953	0.51351
0.344	2.17414	0.50881
0.345	2.178207	0.50399
0.346	2.182149	0.49907
0.347	2.185962	0.49406
0.348	2.189642	0.48895
0.349	2.193186	0.48377
0.35	2.196591	0.47851
0.351	2.199855	0.47318
0.352	2.202976	0.46779
0.353	2.205951	0.46235
0.354	2.208777	0.45687
0.355	2.211452	0.45134
0.356	2.213976	0.44578
0.357	2.216347	0.4402
0.358	2.218567	0.4346
0.359	2.220636	0.42899
0.36	2.222555	0.42338
0.361	2.224324	0.41776
0.362	2.225945	0.41216
0.363	2.227418	0.40656
0.364	2.228747	0.40098
0.365	2.229932	0.39543
0.366	2.230974	0.3899
0.367	2.231876	0.38441
0.368	2.232638	0.37895
0.369	2.233263	0.37353
0.37	2.233753	0.36816
0.371	2.234108	0.36283
0.372	2.234331	0.35756
0.373	2.234421	0.35234
0.374	2.23438	0.34719
0.375	2.234208	0.34209
0.376	2.233902	0.33707
0.377	2.233462	0.33212
0.378	2.232889	0.32726
0.379	2.232188	0.3225
0.38	2.231362	0.31784
0.381	2.230417	0.3133
0.382	2.22936	0.30887
0.383	2.228196	0.30457
0.384	2.226933	0.30041
0.385	2.22558	0.29639
0.386	2.224144	0.29252
0.387	2.222636	0.2888
0.388	2.221066	0.28524
0.389	2.219445	0.28185
0.39	2.217785	0.27864
0.391	2.2161	0.27559
0.392	2.214405	0.27274
0.393	2.212717	0.27006
0.394	2.211056	0.26758
0.395	2.209444	0.2653
0.396	2.207907	0.26321
0.397	2.206481	0.26132
0.398	2.205207	0.25963
0.399	2.204149	0.25814
0.4	2.203416	0.25684
0.401	2.203233	0.2556
0.402	2.203658	0.25402
0.403	2.204452	0.25168
0.404	2.204989	0.24832
0.405	2.204522	0.24442
0.406	2.20296	0.24076
0.407	2.200732	0.23807
0.408	2.198783	0.23641
0.409	2.197566	0.23517
0.41	2.197037	0.23377
0.411	2.196709	0.2318
0.412	2.19612	0.22951
0.413	2.195179	0.2272
0.414	2.19403	0.22517
0.415	2.19298	0.22341
0.416	2.192139	0.22173
0.417	2.191467	0.21995
0.418	2.190769	0.21797
0.419	2.189889	0.21591
0.42	2.18881	0.21393
0.421	2.187623	0.21216
0.422	2.186505	0.21059
0.423	2.18553	0.20912
0.424	2.184686	0.20762
0.425	2.183877	0.20603
0.426	2.182988	0.20437
0.427	2.181993	0.20273
0.428	2.180911	0.20119
0.429	2.179819	0.19978
0.43	2.178773	0.19848
0.431	2.177789	0.19723
0.432	2.176862	0.196
0.433	2.175963	0.19478
0.434	2.175076	0.19357
0.435	2.174188	0.19236
0.436	2.173284	0.19116
0.437	2.172346	0.19
0.438	2.171378	0.1889
0.439	2.170402	0.18789
0.44	2.169468	0.18699
0.441	2.168641	0.18617
0.442	2.16793	0.18535
0.443	2.167309	0.18446
0.444	2.166694	0.18345
0.445	2.165987	0.18238
0.446	2.165159	0.18132
0.447	2.164229	0.18035
0.448	2.163268	0.17955
0.449	2.162376	0.17887
0.45	2.161585	0.17826
0.451	2.160893	0.17766
0.452	2.160258	0.17702
0.453	2.15961	0.17633
0.454	2.158923	0.17564
0.455	2.158196	0.17499
0.456	2.157452	0.17442
0.457	2.156739	0.17394
0.458	2.15608	0.1735
0.459	2.155481	0.1731
0.46	2.154932	0.17269
0.461	2.154411	0.17228
0.462	2.153895	0.17186
0.463	2.153381	0.17146
0.464	2.152869	0.17109
0.465	2.152366	0.17075
0.466	2.151885	0.17044
0.467	2.151428	0.17015
0.468	2.150995	0.16988
0.469	2.150583	0.16963
0.47	2.150184	0.16939
0.471	2.149794	0.16917
0.472	2.149412	0.16897
0.473	2.149039	0.1688
0.474	2.148677	0.16865
0.475	2.148331	0.16853
0.476	2.148	0.16843
0.477	2.14768	0.16836
0.478	2.147363	0.1683
0.479	2.147037	0.16826
0.48	2.146695	0.16827
0.481	2.146341	0.16834
0.482	2.145987	0.16848
0.483	2.145656	0.16871
0.484	2.145382	0.16902
0.485	2.145174	0.16937
0.486	2.145027	0.16975
0.487	2.144922	0.17013
0.488	2.144811	0.17049
0.489	2.144649	0.17088
0.49	2.144424	0.17134
0.491	2.144151	0.17193
0.492	2.143864	0.17269
0.493	2.143642	0.17365
0.494	2.143549	0.17476
0.495	2.143595	0.17596
0.496	2.143758	0.17717
0.497	2.14397	0.17836
0.498	2.14408	0.17951
0.499	2.143973	0.18079
0.5	2.143653	0.18239
0.501	2.143192	0.18447
0.502	2.142736	0.1872
0.503	2.142556	0.19068
0.504	2.142916	0.19479
0.505	2.143936	0.19937
0.506	2.145663	0.20428
0.507	2.148069	0.20935
0.508	2.150975	0.21453
0.509	2.154193	0.22007
0.51	2.157868	0.22637
0.511	2.162383	0.23378
0.512	2.168386	0.24259
0.513	2.177068	0.25298
0.514	2.190143	0.26383
0.515	2.208069	0.27303
0.516	2.230359	0.27866
0.517	2.2559	0.27904
0.518	2.282883	0.27273
0.519	2.30831	0.25933
0.52	2.32993	0.24049
0.521	2.34685	0.21794
0.522	2.358725	0.19321
0.523	2.365569	0.16767
0.524	2.367797	0.14258
0.525	2.366168	0.11868
0.526	2.361193	0.09639
0.527	2.353294	0.07612
0.528	2.342936	0.05832
0.529	2.330719	0.04347
0.53	2.317626	0.03188
0.531	2.304643	0.02321
0.532	2.292316	0.01694
0.533	2.280978	0.01254
0.534	2.270801	0.00949
0.535	2.261782	0.00728
0.536	2.253666	0.00552
0.537	2.246235	0.00412
0.538	2.239391	0.00304
0.539	2.233071	0.00221
0.54	2.227228	0.0016
0.541	2.221816	0.00114
0.542	2.216782	0.000796
0.543	2.212084	0.000552
0.544	2.207693	0.000386
0.545	2.203581	0.000278
0.546	2.199725	0.000211
0.547	2.196099	0.000165
0.548	2.192672	0.000129
0.549	2.189421	0.0001
0.55	2.186327	7.8e-05
0.551	2.183375	6.1e-05
0.552	2.180552	4.9e-05
0.553	2.177849	3.9e-05
0.554	2.175255	3.1e-05
0.555	2.172761	2.5e-05
0.556	2.17036	2e-05
0.557	2.168045	1.7e-05
0.558	2.16581	1.4e-05
0.559	2.163649	1.3e-05
0.56	2.161559	1.1e-05
0.561	2.159535	1e-05
0.562	2.157572	9e-06
0.563	2.155666	8e-06
0.564	2.153816	8e-06
0.565	2.152017	7e-06
0.566	2.150267	7e-06
0.567	2.148563	7e-06
0.568	2.146904	7e-06
0.569	2.145286	6e-06
0.57	2.143708	6e-06
0.571	2.142167	6e-06
0.572	2.140663	6e-06
0.573	2.139194	6e-06
0.574	2.137757	6e-06
0.575	2.136352	6e-06
0.576	2.134978	6e-06
0.577	2.133633	6e-06
0.578	2.132315	6e-06
0.579	2.131025	6e-06
0.58	2.12976	6e-06
0.581	2.12852	6e-06
0.582	2.127305	5e-06
0.583	2.126112	5e-06
0.584	2.124942	5e-06
0.585	2.123793	5e-06
0.586	2.122665	5e-06
0.587	2.121557	5e-06
0.588	2.120468	5e-06
0.589	2.119399	5e-06
0.59	2.118347	5e-06
0.591	2.117313	5e-06
0.592	2.116297	5e-06
0.593	2.115296	5e-06
0.594	2.114312	5e-06
0.595	2.113344	5e-06
0.596	2.112391	5e-06
0.597	2.111452	5e-06
0.598	2.110528	5e-06
0.599	2.109618	5e-06
0.6	2.108721	5e-06
0.601	2.107838	5e-06
0.602	2.106967	5e-06
0.603	2.106109	5e-06
0.604	2.105263	5e-06
0.605	2.104429	5e-06
0.606	2.103607	5e-06
0.607	2.102796	5e-06
0.608	2.101995	5e-06
0.609	2.101206	5e-06
0.61	2.100427	5e-06
0.611	2.099659	5e-06
0.612	2.098901	5e-06
0.613	2.098152	5e-06
0.614	2.097413	5e-06
0.615	2.096683	5e-06
0.616	2.095962	5e-06
0.617	2.095251	5e-06
0.618	2.094548	4e-06
0.619	2.093853	4e-06
0.62	2.093168	4e-06
0.621	2.09249	4e-06
0.622	2.09182	4e-06
0.623	2.091159	4e-06
0.624	2.090505	4e-06
0.625	2.089858	4e-06
0.626	2.089219	4e-06
0.627	2.088587	4e-06
0.628	2.087963	4e-06
0.629	2.087345	4e-06
0.63	2.086734	4e-06
0.631	2.08613	4e-06
0.632	2.085533	4e-06
0.633	2.084942	4e-06
0.634	2.084357	4e-06
0.635	2.083779	4e-06
0.636	2.083207	4e-06
0.637	2.082641	4e-06
0.638	2.08208	4e-06
0.639	2.081526	4e-06
0.64	2.080977	4e-06
0.641	2.080434	4e-06
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1.0	2.00961	3e-06
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1.165	2.000504	3e-06
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1.688	1.988391	3e-06
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2.197	1.984202	3e-06
2.198	1.984196	3e-06
2.199	1.984191	3e-06

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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