Optical constants

Refractive index of CH3NH3PbCl3 (Methylammonium lead tribromide, MAPbCl3)

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

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.2–2.5 µm
Refractive index n
1.92435
Extinction coefficient k
1.00000e-06
Permittivity ε1
3.70313
Permittivity ε2
3.84870e-06
Absorption coefficient α
0.213859 cm⁻¹
Penetration depth δ = λ/(2πk)
9.35194e+07 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.43 µm⁻¹
Group index ng
2.17702
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

# CH3NH3PbCl3 (Methylammonium lead tribromide, MAPbCl3): Brennan et al. 2024: n,k 0.200–2.50 µm
ch3nh3pbcl3 = ls.fetch_refractiveindex("other", "CH3NH3PbCl3", "Brennan", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch3nh3pbcl3.range_nm)  # (200, 2500) nm
eps = ch3nh3pbcl3.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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

Crystal orientation: <100>; Solution-grown single crystal; Room temperature.

References

M. C. Brennan, C. L. McCleese, L. M. Loftus, J. Lipp, M. Febbraro, H. J. Hall, D. B. Turner, M. J. Carter, P. R. Stevenson, T. A. Grusenmeyer. Optically transparent lead halide perovskite polycrystalline ceramics. ACS Appl. Mater. Interfaces 16, 15084–15095 (2024) (Numerical data kindly provided by Michael Brennan)
  • doi:10.1021/acsami.4c01517 Optically Transparent Lead Halide Perovskite Polycrystalline Ceramics, ACS Applied Materials &amp; Interfaces (2024)

Cite

Michael C. Brennan et al.. Optically Transparent Lead Halide Perovskite Polycrystalline Ceramics. ACS Applied Materials &amp; Interfaces, 16, 15084-15095 (2024), doi:10.1021/acsami.4c01517; 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
CH3NH3PbCl3 (Methylammonium lead tribromide, MAPbCl3), Brennan et al. 2024: n,k 0.200–2.50 µm: n and k versus wavelength
λ (µm)nk
0.21.753470.60363
0.2011.753380.58915
0.2021.750180.57468
0.2031.743910.56113
0.2041.734760.54928
0.2051.723040.53975
0.2061.709210.53311
0.2071.693830.5299
0.2081.677670.53055
0.2091.661740.53534
0.211.647510.54287
0.2111.637710.55253
0.2121.634080.5638
0.2131.626360.57619
0.2141.621680.58868
0.2151.6190.60197
0.2161.619510.616
0.2171.62060.63031
0.2181.624110.644
0.2191.630570.65698
0.221.638660.66901
0.2211.647340.67966
0.2221.656640.6888
0.2231.666410.69685
0.2241.675710.70395
0.2251.68480.71039
0.2261.69360.7163
0.2271.702680.722
0.2281.711760.72764
0.2291.72050.73318
0.231.730320.73845
0.2311.74090.74358
0.2321.751810.7483
0.2331.763070.75232
0.2341.775460.75565
0.2351.787740.75817
0.2361.800290.75971
0.2371.813050.76031
0.2381.825220.76009
0.2391.836990.75898
0.241.848360.75722
0.2411.859250.75507
0.2421.868730.75251
0.2431.878360.74974
0.2441.887250.74699
0.2451.895450.74425
0.2461.903480.74155
0.2471.911140.73907
0.2481.918410.73676
0.2491.925680.73457
0.251.933020.73262
0.2511.939960.73089
0.2521.946670.7293
0.2531.95380.72796
0.2541.960620.72698
0.2551.967280.72636
0.2561.973980.72629
0.2571.980710.7269
0.2581.987960.72819
0.2591.996190.73025
0.262.005290.73306
0.2612.015550.73638
0.2622.027970.73992
0.2632.042960.7433
0.2642.060550.74577
0.2652.081040.74626
0.2662.10480.7437
0.2672.13090.73737
0.2682.156840.72659
0.2692.18130.71133
0.272.203230.69235
0.2712.220420.67055
0.2722.233820.64696
0.2732.243340.62279
0.2742.24880.59891
0.2752.251410.57581
0.2762.25180.55396
0.2772.250380.53357
0.2782.247410.51471
0.2792.243150.49733
0.282.238230.48146
0.2812.232780.46708
0.2822.22670.45403
0.2832.220710.44221
0.2842.214720.43156
0.2852.208580.4219
0.2862.202780.4131
0.2872.197190.40511
0.2882.191720.39777
0.2892.186640.39097
0.292.181810.38464
0.2912.177140.3787
0.2922.172690.37312
0.2932.16830.36788
0.2942.164010.36293
0.2952.160050.35827
0.2962.156230.3539
0.2972.152420.34972
0.2982.148930.34574
0.2992.145540.34201
0.32.142030.33843
0.3012.138890.33497
0.3022.136020.33175
0.3032.132890.3287
0.3042.129920.32571
0.3052.127410.32286
0.3062.124930.32015
0.3072.122410.31749
0.3082.120010.31489
0.3092.117730.31239
0.312.115530.30998
0.3112.113420.30763
0.3122.11140.30533
0.3132.109450.30309
0.3142.107590.30087
0.3152.105790.29869
0.3162.104030.29653
0.3172.102270.29442
0.3182.10050.29236
0.3192.098740.29037
0.322.097030.28846
0.3212.09540.2866
0.3222.093860.28478
0.3232.092350.283
0.3242.090830.28127
0.3252.08930.27959
0.3262.087820.27797
0.3272.08640.27642
0.3282.085060.27489
0.3292.083820.27337
0.332.08260.27191
0.3312.081240.27052
0.3322.079820.26919
0.3332.078690.26786
0.3342.077860.26655
0.3352.076970.26521
0.3362.075890.26385
0.3372.074730.26251
0.3382.073590.26121
0.3392.072610.25995
0.342.071740.25873
0.3412.070790.25752
0.3422.069710.25633
0.3432.068720.25514
0.3442.067870.25398
0.3452.0670.25284
0.3462.066020.25172
0.3472.0650.25063
0.3482.063990.2496
0.3492.063040.24861
0.352.062160.24765
0.3512.06130.24671
0.3522.06040.24578
0.3532.059460.24486
0.3542.05850.24398
0.3552.057540.24316
0.3562.056540.2424
0.3572.055520.2417
0.3582.05460.24101
0.3592.05380.24033
0.362.052940.2397
0.3612.051830.23913
0.3622.050590.23865
0.3632.049540.23823
0.3642.048720.23787
0.3652.047920.23752
0.3662.046970.23716
0.3672.045890.23681
0.3682.044720.23653
0.3692.043520.23634
0.372.042310.23624
0.3712.04110.23621
0.3722.039870.23623
0.3732.038570.23628
0.3742.037150.23638
0.3752.035520.23657
0.3762.033660.23688
0.3772.03160.23736
0.3782.029370.23803
0.3792.026940.23891
0.382.024220.24005
0.3812.021140.24149
0.3822.017590.24334
0.3832.013490.24576
0.3842.00880.24891
0.3852.003470.25301
0.3861.997480.25838
0.3871.990720.26546
0.3881.98310.27479
0.3891.974930.28697
0.391.966880.30264
0.3911.959860.32235
0.3921.954880.34661
0.3931.953060.37576
0.3941.955950.41027
0.3951.965390.45062
0.3961.983890.49653
0.3972.017190.54321
0.3982.077190.58138
0.3992.172180.59994
0.42.287660.59129
0.4012.395040.55226
0.4022.471410.48679
0.4032.513450.40503
0.4042.524280.32044
0.4052.508880.24406
0.4062.473270.18191
0.4072.430550.13559
0.4082.392750.10354
0.4092.363510.08246
0.412.339810.06806
0.4112.317970.05738
0.4122.297270.04906
0.4132.27850.04283
0.4142.262520.03828
0.4152.249230.03487
0.4162.237690.03204
0.4172.226930.02952
0.4182.216640.02727
0.4192.2070.02537
0.422.198280.02386
0.4212.190520.02264
0.4222.18360.02156
0.4232.177330.02051
0.4242.171610.01938
0.4252.166450.01805
0.4262.161910.01636
0.4272.157830.01418
0.4282.153820.01153
0.4292.149110.00861
0.432.143370.00578
0.4312.136720.00338
0.4322.12990.00166
0.4332.123540.000643
0.4342.117860.00018
0.4352.112792.76e-05
0.4362.108122.2e-06
0.4372.103742e-06
0.4382.099611.8e-06
0.4392.095681.6e-06
0.442.091931.4e-06
0.4412.088341.2e-06
0.4422.08491e-06
0.4432.081591e-06
0.4442.078391e-06
0.4452.075321e-06
0.4462.072341e-06
0.4472.069461e-06
0.4482.066671e-06
0.4492.063971e-06
0.452.061341e-06
0.4512.058791e-06
0.4522.056311e-06
0.4532.05391e-06
0.4542.051551e-06
0.4552.049261e-06
0.4562.047021e-06
0.4572.044851e-06
0.4582.042721e-06
0.4592.040641e-06
0.462.038611e-06
0.4612.036631e-06
0.4622.034691e-06
0.4632.032791e-06
0.4642.030931e-06
0.4652.029111e-06
0.4662.027331e-06
0.4672.025581e-06
0.4682.023871e-06
0.4692.022191e-06
0.472.020541e-06
0.4712.018921e-06
0.4722.017341e-06
0.4732.015781e-06
0.4742.014251e-06
0.4752.012751e-06
0.4762.011271e-06
0.4772.009821e-06
0.4782.008391e-06
0.4792.006991e-06
0.482.005611e-06
0.4812.004251e-06
0.4822.002921e-06
0.4832.00161e-06
0.4842.000311e-06
0.4851.999031e-06
0.4861.997781e-06
0.4871.996541e-06
0.4881.995331e-06
0.4891.994131e-06
0.491.992951e-06
0.4911.991781e-06
0.4921.990631e-06
0.4931.98951e-06
0.4941.988391e-06
0.4951.987291e-06
0.4961.98621e-06
0.4971.985131e-06
0.4981.984081e-06
0.4991.983031e-06
0.51.982011e-06
0.5011.980991e-06
0.5021.979991e-06
0.5031.9791e-06
0.5041.978031e-06
0.5051.977061e-06
0.5061.976111e-06
0.5071.975171e-06
0.5081.974241e-06
0.5091.973331e-06
0.511.972421e-06
0.5111.971531e-06
0.5121.970641e-06
0.5131.969771e-06
0.5141.968911e-06
0.5151.968051e-06
0.5161.967211e-06
0.5171.966381e-06
0.5181.965551e-06
0.5191.964741e-06
0.521.963931e-06
0.5211.963131e-06
0.5221.962351e-06
0.5231.961571e-06
0.5241.960791e-06
0.5251.960031e-06
0.5261.959281e-06
0.5271.958531e-06
0.5281.957791e-06
0.5291.957061e-06
0.531.956341e-06
0.5311.955621e-06
0.5321.954911e-06
0.5331.954211e-06
0.5341.953521e-06
0.5351.952831e-06
0.5361.952151e-06
0.5371.951481e-06
0.5381.950811e-06
0.5391.950151e-06
0.541.94951e-06
0.5411.948851e-06
0.5421.948211e-06
0.5431.947581e-06
0.5441.946951e-06
0.5451.946321e-06
0.5461.945711e-06
0.5471.94511e-06
0.5481.944491e-06
0.5491.943891e-06
0.551.94331e-06
0.5511.942711e-06
0.5521.942131e-06
0.5531.941551e-06
0.5541.940981e-06
0.5551.940411e-06
0.5561.939851e-06
0.5571.939291e-06
0.5581.938741e-06
0.5591.938191e-06
0.561.937651e-06
0.5611.937111e-06
0.5621.936581e-06
0.5631.936051e-06
0.5641.935521e-06
0.5651.935011e-06
0.5661.934491e-06
0.5671.933981e-06
0.5681.933471e-06
0.5691.932971e-06
0.571.932471e-06
0.5711.931981e-06
0.5721.931491e-06
0.5731.9311e-06
0.5741.930521e-06
0.5751.930051e-06
0.5761.929571e-06
0.5771.92911e-06
0.5781.928641e-06
0.5791.928171e-06
0.581.927721e-06
0.5811.927261e-06
0.5821.926811e-06
0.5831.926361e-06
0.5841.925921e-06
0.5851.925481e-06
0.5861.925041e-06
0.5871.924611e-06
0.5881.924181e-06
0.5891.923751e-06
0.591.923321e-06
0.5911.92291e-06
0.5921.922491e-06
0.5931.922071e-06
0.5941.921661e-06
0.5951.921251e-06
0.5961.920851e-06
0.5971.920451e-06
0.5981.920051e-06
0.5991.919651e-06
0.61.919261e-06
0.6011.918871e-06
0.6021.918481e-06
0.6031.91811e-06
0.6041.917711e-06
0.6051.917341e-06
0.6061.916961e-06
0.6071.916591e-06
0.6081.916221e-06
0.6091.915851e-06
0.611.915481e-06
0.6111.915121e-06
0.6121.914761e-06
0.6131.91441e-06
0.6141.914051e-06
0.6151.913691e-06
0.6161.913341e-06
0.6171.9131e-06
0.6181.912651e-06
0.6191.912311e-06
0.621.911971e-06
0.6211.911631e-06
0.6221.911291e-06
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0.6251.91031e-06
0.6261.909971e-06
0.6271.909651e-06
0.6281.909321e-06
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0.6311.908371e-06
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0.6351.907121e-06
0.6361.906821e-06
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0.641.905611e-06
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0.6981.89111e-06
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0.711.888661e-06
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0.7161.887491e-06
0.7171.88731e-06
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0.7211.886551e-06
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0.7231.886181e-06
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0.7261.885631e-06
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0.761.879961e-06
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0.7631.879511e-06
0.7641.879361e-06
0.7651.879211e-06
0.7661.879061e-06
0.7671.878911e-06
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2.1991.831630.00214

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Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—