Optical constants

Refractive index of CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3)

Leguy et al. 2015: Hydrated; n,k 0.249–0.427 µm

Data: tabulated nk
Range: 0.207–0.427 µm
Points: 221
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: 2.7604
Extinction coefficient k: 1.0761

Permittivity ε₁: 6.46182
Permittivity ε₂: 5.94093

Absorption coefficient α: 455309 cm⁻¹
Penetration depth δ = λ/(2πk): 43.9262 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -3.85 µm⁻¹

Group index n_g: 3.90385
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 4.17455 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

# CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3): Leguy et al. 2015: Hydrated; n,k 0.249–0.427 µm
ch3nh3pbi3 = ls.fetch_refractiveindex("other", "CH3NH3PbI3", "Leguy-hydrated", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch3nh3pbi3.range_nm)  # (207, 427) nm
eps = ch3nh3pbi3.eps([297])  # 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_ff85d49d8b1f/lightsmith"
ch3nh3pbi3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ch3nh3pbi3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ch3nh3pbi3/leguy-2015-hydrated).

# ... load ch3nh3pbi3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ch3nh3pbi3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=207, stop_nm=427, 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

Hydrated single crystal CH₃NH₃PbI₃.H₂O; orientation unknown, hydrate phase grown on single crystal; room temperature; critical point model used for fit, 249 nm - 427 nm - fit not reliable for sub-bandgap region - see reference

References

A. M. A. Leguy, Y. Hu, M. Campoy-Quiles, M. I. Alonso, O. J. Weber, P. Azarhoosh, M. van Schilfgaarde, M. T. Weller, T Bein, J. Nelson, P. Docampo, P. R. F. Barnes. Reversible hydration of CH₃NH₃PbI₃ in films, single crystals, and solar cells. Chem. Matter. 27, 3397-3407 (2015)

doi:10.1021/acs.chemmater.5b00660 Reversible Hydration of CH 3 NH 3 PbI 3 in Films, Single Crystals, and Solar Cells, Chemistry of Materials (2015)

Cite

Aurélien M. A. Leguy et al.. Reversible Hydration of CH 3 NH 3 PbI 3 in Films, Single Crystals, and Solar Cells. Chemistry of Materials, 27, 3397-3407 (2015), doi:10.1021/acs.chemmater.5b00660; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

221 rows as published

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

CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3), Leguy et al. 2015: Hydrated; n,k 0.249–0.427 µm: n and k versus wavelength
λ (µm)	n	k
0.207	2.2205	1.1192
0.208	2.2186	1.1164
0.209	2.2168	1.1136
0.21	2.2149	1.111
0.211	2.2131	1.1084
0.212	2.2111	1.1058
0.213	2.2092	1.1033
0.214	2.2072	1.1009
0.215	2.2052	1.0986
0.216	2.2031	1.0963
0.217	2.201	1.094
0.218	2.1988	1.0919
0.219	2.1966	1.0897
0.22	2.1943	1.0877
0.221	2.1919	1.0857
0.222	2.1895	1.0837
0.223	2.1869	1.0819
0.224	2.1843	1.0801
0.225	2.1816	1.0783
0.226	2.1787	1.0766
0.227	2.1757	1.075
0.228	2.1726	1.0734
0.229	2.1693	1.0719
0.23	2.1658	1.0705
0.231	2.1622	1.0692
0.232	2.1583	1.0679
0.233	2.1542	1.0668
0.234	2.1498	1.0657
0.235	2.1451	1.0648
0.236	2.14	1.064
0.237	2.1346	1.0634
0.238	2.1288	1.063
0.239	2.1224	1.0628
0.24	2.1156	1.0629
0.241	2.1081	1.0633
0.242	2.1	1.0641
0.243	2.0911	1.0654
0.244	2.0814	1.0673
0.245	2.0708	1.0699
0.246	2.0592	1.0733
0.247	2.0464	1.078
0.248	2.0325	1.084
0.249	2.0173	1.0917
0.25	2.0007	1.1017
0.251	1.983	1.1143
0.252	1.9641	1.1304
0.253	1.9444	1.1506
0.254	1.9244	1.1759
0.255	1.9053	1.2071
0.256	1.8883	1.2451
0.257	1.8754	1.2903
0.258	1.8692	1.3427
0.259	1.8729	1.4014
0.26	1.8889	1.4635
0.261	1.9187	1.5253
0.262	1.9625	1.5824
0.263	2.0186	1.6305
0.264	2.0836	1.666
0.265	2.1529	1.6867
0.266	2.2218	1.6938
0.267	2.2869	1.6893
0.268	2.3458	1.6754
0.269	2.3972	1.6549
0.27	2.4415	1.6307
0.271	2.4794	1.6046
0.272	2.5113	1.5779
0.273	2.5384	1.5516
0.274	2.5619	1.5262
0.275	2.5822	1.5018
0.276	2.6001	1.4787
0.277	2.6163	1.4566
0.278	2.631	1.4357
0.279	2.6447	1.4155
0.28	2.6575	1.3961
0.281	2.6696	1.3772
0.282	2.6812	1.3587
0.283	2.6922	1.3404
0.284	2.7029	1.3222
0.285	2.7129	1.3039
0.286	2.7225	1.2855
0.287	2.7314	1.2668
0.288	2.7395	1.2478
0.289	2.7468	1.2286
0.29	2.7531	1.2091
0.291	2.7582	1.1894
0.292	2.7622	1.1697
0.293	2.7646	1.15
0.294	2.7658	1.1306
0.295	2.7654	1.1116
0.296	2.7636	1.0934
0.297	2.7604	1.0761
0.298	2.7559	1.06
0.299	2.7504	1.0453
0.3	2.744	1.0323
0.301	2.7371	1.0209
0.302	2.7298	1.0112
0.303	2.7226	1.0035
0.304	2.7156	0.9974
0.305	2.7092	0.993
0.306	2.7036	0.9902
0.307	2.6991	0.9887
0.308	2.6957	0.9883
0.309	2.6937	0.9889
0.31	2.6931	0.9902
0.311	2.6939	0.9919
0.312	2.6964	0.9939
0.313	2.7003	0.9959
0.314	2.7056	0.9978
0.315	2.7122	0.9993
0.316	2.7203	1.0002
0.317	2.7297	1.0005
0.318	2.7401	1.0001
0.319	2.7515	0.9987
0.32	2.764	0.9962
0.321	2.7772	0.9925
0.322	2.7911	0.9877
0.323	2.8055	0.9815
0.324	2.8204	0.974
0.325	2.8356	0.965
0.326	2.8508	0.9545
0.327	2.8661	0.9425
0.328	2.8811	0.929
0.329	2.8959	0.914
0.33	2.9101	0.8976
0.331	2.9237	0.8796
0.332	2.9364	0.8602
0.333	2.9482	0.8394
0.334	2.9588	0.8174
0.335	2.9682	0.7942
0.336	2.9763	0.77
0.337	2.9828	0.7449
0.338	2.9878	0.719
0.339	2.9911	0.6925
0.34	2.9927	0.6655
0.341	2.9925	0.6383
0.342	2.9904	0.6109
0.343	2.9866	0.5836
0.344	2.981	0.5566
0.345	2.9737	0.5299
0.346	2.9647	0.5038
0.347	2.954	0.4783
0.348	2.9419	0.4536
0.349	2.9283	0.4299
0.35	2.9134	0.4072
0.351	2.8972	0.3855
0.352	2.8799	0.3651
0.353	2.8616	0.3458
0.354	2.8423	0.3279
0.355	2.8222	0.3112
0.356	2.8014	0.2959
0.357	2.7799	0.282
0.358	2.7579	0.2694
0.359	2.7354	0.2581
0.36	2.7126	0.2482
0.361	2.6894	0.2397
0.362	2.6659	0.2325
0.363	2.6422	0.2267
0.364	2.6183	0.2221
0.365	2.5943	0.219
0.366	2.5702	0.2173
0.367	2.546	0.2169
0.368	2.5218	0.218
0.369	2.4975	0.2204
0.37	2.4733	0.2243
0.371	2.4491	0.2296
0.372	2.4249	0.2365
0.373	2.4008	0.245
0.374	2.3768	0.2552
0.375	2.3529	0.2672
0.376	2.3293	0.2812
0.377	2.306	0.2976
0.378	2.283	0.3163
0.379	2.2607	0.3375
0.38	2.239	0.3614
0.381	2.2183	0.3883
0.382	2.1989	0.4185
0.383	2.1811	0.4522
0.384	2.1661	0.4906
0.385	2.1542	0.5332
0.386	2.1463	0.58
0.387	2.1435	0.6312
0.388	2.1468	0.6865
0.389	2.1578	0.7457
0.39	2.1805	0.8082
0.391	2.2146	0.8717
0.392	2.2614	0.9339
0.393	2.3216	0.9924
0.394	2.3959	1.0444
0.395	2.4874	1.0814
0.396	2.5898	1.1006
0.397	2.6983	1.0995
0.398	2.8081	1.0765
0.399	2.9135	1.0295
0.4	3.0013	0.956
0.401	3.0704	0.8697
0.402	3.1198	0.7758
0.403	3.1493	0.679
0.404	3.1557	0.5867
0.405	3.1478	0.5029
0.406	3.1303	0.4275
0.407	3.1053	0.3608
0.408	3.0746	0.3055
0.409	3.0417	0.2589
0.41	3.0079	0.2189
0.411	2.9739	0.1846
0.412	2.9407	0.1574
0.413	2.9087	0.1344
0.414	2.8778	0.1147
0.415	2.8482	0.0981
0.416	2.8206	0.0851
0.417	2.7942	0.0738
0.418	2.7689	0.0641
0.419	2.7453	0.0565
0.42	2.723	0.0501
0.421	2.7016	0.0447
0.422	2.6814	0.0403
0.423	2.6625	0.0368
0.424	2.6443	0.034
0.425	2.6269	0.0316
0.426	2.6107	0.03
0.427	2.5951	0.0287

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: —

CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3): all datasets

About CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3)

Methylammonium lead iodide (CH₃NH₃PbI₃) is a prominent perovskite material used extensively in solar cell technology. It is renowned for its high photovoltaic efficiency due to its optimal band gap and strong light absorption capabilities. This compound typically forms a tetragonal crystalline structure that facilitates efficient charge transport, critical for its application in perovskite solar cells. Its optical properties, particularly its refractive index, are crucial for enhancing light-harvesting efficiency. Despite its potential in renewable energy applications, CH₃NH₃PbI₃ faces challenges related to environmental impact and stability, given its lead content and sensitivity to moisture and temperature.

More about CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/other/perovskite/CH3NH3PbI3/nk/Leguy-hydrated.yml
ID: ds_ff85d49d8b1f
API: /v1/datasets/ds_ff85d49d8b1f

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