Optical constants

Refractive index of C (Carbon, diamond, graphite, graphene, carbon nanotubes)

Ermolaev et al. 2020: CNT film, aerosol CVD; n,k 0.250–3.30 µm

Data
tabulated nk
Range
0.25–3.3 µm
Points
3051
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.25–3.3 µm
Refractive index n
1.57137
Extinction coefficient k
0.43193
Permittivity ε1
2.28264
Permittivity ε2
1.35744
Absorption coefficient α
92372.2 cm⁻¹
Penetration depth δ = λ/(2πk)
216.515 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.05 µm⁻¹
Group index ng
1.54199
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

# C (Carbon, diamond, graphite, graphene, carbon nanotubes): Ermolaev et al. 2020: CNT film, aerosol CVD; n,k 0.250–3.30 µm
c = ls.fetch_refractiveindex("main", "C", "Ermolaev", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c.range_nm)  # (250, 3300) nm
eps = c.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

Aerosol CVD single-walled carbon nanotubes (SWCNTs).

Conditions

substrate
glass

References

G. A. Ermolaev, A. P. Tsapenko, V. S. Volkov, A. S. Anisimov, Y. G. Gladush, A. G. Nasibulin. Express determination of thickness and dielectric function of single-walled carbon nanotube films. Appl. Phys. Lett., 116, 231103 (2020) (Numerical data kindly provided by Georgy Ermolaev)
  • doi:10.1063/5.0012933 Express determination of thickness and dielectric function of single-walled carbon nanotube films, Applied Physics Letters (2020)

Cite

Georgy A. Ermolaev et al.. Express determination of thickness and dielectric function of single-walled carbon nanotube films. Applied Physics Letters, 116, 231103 (2020), doi:10.1063/5.0012933; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

3051 rows as published
C (Carbon, diamond, graphite, graphene, carbon nanotubes), Ermolaev et al. 2020: CNT film, aerosol CVD; n,k 0.250–3.30 µm: n and k versus wavelength
λ (µm)nk
0.251.086730.69065
0.2511.096220.69675
0.2521.105870.70253
0.2531.115720.70803
0.2541.125730.71321
0.2551.135850.71806
0.2561.14610.72259
0.2571.156450.72677
0.2581.166870.73061
0.2591.177410.73411
0.261.187990.73726
0.2611.19860.74006
0.2621.209240.74251
0.2631.219890.74461
0.2641.230570.74637
0.2651.241160.74778
0.2661.251760.74884
0.2671.26230.74956
0.2681.272770.74994
0.2691.283120.75
0.271.293410.74974
0.2711.303570.74917
0.2721.313610.74828
0.2731.323550.74709
0.2741.333280.74562
0.2751.342870.74387
0.2761.35230.74185
0.2771.361530.73958
0.2781.370580.73707
0.2791.379420.73432
0.281.388050.73135
0.2811.396460.72817
0.2821.404680.72479
0.2831.412640.72125
0.2841.420420.71752
0.2851.427920.71365
0.2861.435230.70961
0.2871.442260.70546
0.2881.449070.70119
0.2891.455630.69682
0.291.461980.69234
0.2911.468080.68779
0.2921.473940.68317
0.2931.47960.67846
0.2941.485010.67372
0.2951.490180.66895
0.2961.495150.66413
0.2971.49990.65929
0.2981.504440.65443
0.2991.508750.64959
0.31.512880.64472
0.3011.516780.6399
0.3021.520510.63506
0.3031.524050.63026
0.3041.52740.62548
0.3051.530580.62073
0.3061.533590.61601
0.3071.536420.61136
0.3081.539110.60673
0.3091.541630.60217
0.311.544010.59765
0.3111.546250.59318
0.3121.548330.5888
0.3131.550290.58447
0.3141.552120.5802
0.3151.553840.57598
0.3161.555440.57184
0.3171.556920.56779
0.3181.558290.56379
0.3191.559570.55986
0.321.560740.55602
0.3211.561820.55225
0.3221.562820.54855
0.3231.563730.54492
0.3241.564560.54137
0.3251.565310.53789
0.3261.5660.53448
0.3271.566610.53116
0.3281.567150.5279
0.3291.567640.52471
0.331.568070.52161
0.3311.568440.51857
0.3321.568760.51559
0.3331.569030.51269
0.3341.569260.50986
0.3351.569440.5071
0.3361.569580.50441
0.3371.569680.50177
0.3381.569750.49922
0.3391.569780.49672
0.341.569780.49429
0.3411.569750.49192
0.3421.56970.4896
0.3431.569620.48736
0.3441.569510.48517
0.3451.569380.48305
0.3461.569230.48098
0.3471.569070.47895
0.3481.568880.47699
0.3491.568680.47508
0.351.568460.47323
0.3511.568230.47142
0.3521.567990.46967
0.3531.567740.46796
0.3541.567480.4663
0.3551.567210.46469
0.3561.566930.46313
0.3571.566650.46161
0.3581.566350.46014
0.3591.566060.45871
0.361.565750.45731
0.3611.565450.45596
0.3621.565140.45466
0.3631.564830.45339
0.3641.564520.45217
0.3651.564210.45097
0.3661.56390.44981
0.3671.563590.44869
0.3681.563270.44761
0.3691.562960.44655
0.371.562650.44553
0.3711.562350.44454
0.3721.562040.44359
0.3731.561740.44266
0.3741.561440.44176
0.3751.561150.4409
0.3761.560850.44006
0.3771.560570.43925
0.3781.560290.43847
0.3791.560.4377
0.381.559730.43697
0.3811.559460.43626
0.3821.55920.43558
0.3831.558940.43491
0.3841.558690.43427
0.3851.558440.43365
0.3861.55820.43306
0.3871.557960.43248
0.3881.557730.43193
0.3891.557510.43139
0.391.557290.43088
0.3911.557080.43038
0.3921.556870.4299
0.3931.556680.42944
0.3941.556480.42899
0.3951.55630.42856
0.3961.556120.42815
0.3971.555950.42776
0.3981.555780.42738
0.3991.555620.42701
0.41.555460.42665
0.4011.555320.42631
0.4021.555180.42599
0.4031.555050.42568
0.4041.554920.42538
0.4051.55480.42509
0.4061.554680.42482
0.4071.554570.42455
0.4081.554470.4243
0.4091.554380.42406
0.411.554290.42383
0.4111.554210.42361
0.4121.554130.4234
0.4131.554060.4232
0.4141.5540.423
0.4151.553940.42282
0.4161.553880.42265
0.4171.553840.42248
0.4181.55380.42233
0.4191.553760.42217
0.421.553730.42203
0.4211.553710.4219
0.4221.553690.42177
0.4231.553680.42165
0.4241.553670.42154
0.4251.553670.42143
0.4261.553670.42133
0.4271.553680.42123
0.4281.553690.42114
0.4291.553710.42106
0.431.553730.42098
0.4311.553760.42091
0.4321.553790.42084
0.4331.553820.42077
0.4341.553860.42072
0.4351.553910.42066
0.4361.553960.42061
0.4371.554010.42057
0.4381.554070.42053
0.4391.554130.42049
0.441.554190.42045
0.4411.554260.42042
0.4421.554340.4204
0.4431.554410.42037
0.4441.554490.42036
0.4451.554580.42034
0.4461.554660.42032
0.4471.554750.42031
0.4481.554850.42031
0.4491.554940.4203
0.451.555040.4203
0.4511.555140.4203
0.4521.555250.4203
0.4531.555360.4203
0.4541.555470.42031
0.4551.555580.42032
0.4561.55570.42033
0.4571.555820.42034
0.4581.555940.42036
0.4591.556060.42038
0.461.556180.42039
0.4611.556310.42042
0.4621.556440.42044
0.4631.556570.42046
0.4641.55670.42049
0.4651.556840.42051
0.4661.556970.42054
0.4671.557110.42057
0.4681.557250.4206
0.4691.557390.42063
0.471.557530.42066
0.4711.557680.4207
0.4721.557820.42073
0.4731.557970.42077
0.4741.558110.42081
0.4751.558260.42085
0.4761.558410.42089
0.4771.558560.42093
0.4781.558710.42097
0.4791.558860.42101
0.481.559010.42105
0.4811.559170.4211
0.4821.559320.42114
0.4831.559470.42119
0.4841.559630.42123
0.4851.559780.42128
0.4861.559940.42133
0.4871.560090.42138
0.4881.560250.42143
0.4891.56040.42148
0.491.560560.42153
0.4911.560710.42158
0.4921.560870.42163
0.4931.561020.42169
0.4941.561180.42174
0.4951.561340.4218
0.4961.561490.42185
0.4971.561650.42191
0.4981.56180.42196
0.4991.561950.42202
0.51.562110.42208
0.5011.562260.42214
0.5021.562420.4222
0.5031.562570.42226
0.5041.562720.42232
0.5051.562870.42238
0.5061.563020.42245
0.5071.563170.42251
0.5081.563320.42257
0.5091.563470.42264
0.511.563620.42271
0.5111.563770.42277
0.5121.563910.42284
0.5131.564060.42291
0.5141.56420.42298
0.5151.564350.42305
0.5161.564490.42312
0.5171.564630.42319
0.5181.564770.42326
0.5191.564910.42334
0.521.565050.42341
0.5211.565190.42349
0.5221.565320.42356
0.5231.565460.42364
0.5241.565590.42372
0.5251.565720.4238
0.5261.565860.42388
0.5271.565990.42396
0.5281.566120.42404
0.5291.566240.42413
0.531.566370.42421
0.5311.566490.4243
0.5321.566620.42439
0.5331.566740.42448
0.5341.566860.42457
0.5351.566980.42466
0.5361.56710.42475
0.5371.567220.42484
0.5381.567330.42494
0.5391.567450.42504
0.541.567560.42513
0.5411.567670.42523
0.5421.567780.42533
0.5431.567890.42544
0.5441.5680.42554
0.5451.568110.42565
0.5461.568210.42575
0.5471.568310.42586
0.5481.568420.42597
0.5491.568520.42608
0.551.568620.4262
0.5511.568710.42631
0.5521.568810.42643
0.5531.56890.42655
0.5541.5690.42667
0.5551.569090.42679
0.5561.569180.42691
0.5571.569270.42704
0.5581.569360.42717
0.5591.569440.4273
0.561.569530.42743
0.5611.569610.42756
0.5621.569690.4277
0.5631.569770.42784
0.5641.569850.42798
0.5651.569930.42812
0.5661.570010.42826
0.5671.570080.42841
0.5681.570160.42855
0.5691.570230.42871
0.571.57030.42886
0.5711.570370.42901
0.5721.570440.42917
0.5731.570510.42933
0.5741.570570.42949
0.5751.570640.42966
0.5761.57070.42982
0.5771.570770.42999
0.5781.570830.43016
0.5791.570890.43034
0.581.570950.43051
0.5811.571010.43069
0.5821.571070.43087
0.5831.571120.43105
0.5841.571180.43124
0.5851.571230.43143
0.5861.571290.43162
0.5871.571340.43181
0.5881.571390.43201
0.5891.571440.43221
0.591.571490.43241
0.5911.571550.43262
0.5921.571590.43282
0.5931.571640.43303
0.5941.571690.43324
0.5951.571740.43346
0.5961.571780.43368
0.5971.571830.4339
0.5981.571870.43412
0.5991.571920.43435
0.61.571960.43458
0.6011.572010.43481
0.6021.572050.43505
0.6031.572090.43528
0.6041.572140.43553
0.6051.572180.43577
0.6061.572220.43602
0.6071.572260.43627
0.6081.57230.43652
0.6091.572350.43678
0.611.572390.43704
0.6111.572430.4373
0.6121.572470.43756
0.6131.572510.43783
0.6141.572550.43811
0.6151.57260.43838
0.6161.572640.43866
0.6171.572680.43893
0.6181.572720.43922
0.6191.572760.43951
0.621.572810.4398
0.6211.572850.44009
0.6221.572890.44038
0.6231.572940.44069
0.6241.572980.44098
0.6251.573030.44129
0.6261.573080.44159
0.6271.573120.44191
0.6281.573170.44222
0.6291.573220.44254
0.631.573270.44286
0.6311.573320.44319
0.6321.573370.44351
0.6331.573420.44384
0.6341.573470.44417
0.6351.573530.44451
0.6361.573580.44485
0.6371.573640.44519
0.6381.57370.44553
0.6391.573760.44588
0.641.573820.44623
0.6411.573880.44658
0.6421.573940.44694
0.6431.574010.4473
0.6441.574070.44766
0.6451.574140.44803
0.6461.574210.44839
0.6471.574280.44876
0.6481.574360.44914
0.6491.574430.44951
0.651.574510.44989
0.6511.574580.45027
0.6521.574670.45065
0.6531.574750.45103
0.6541.574830.45143
0.6551.574920.45182
0.6561.575010.45221
0.6571.57510.45261
0.6581.57520.45301
0.6591.575290.45341
0.661.575390.45382
0.6611.575490.45422
0.6621.575590.45463
0.6631.57570.45504
0.6641.575810.45545
0.6651.575920.45587
0.6661.576030.45628
0.6671.576150.45671
0.6681.576270.45713
0.6691.576390.45755
0.671.576510.45798
0.6711.576640.4584
0.6721.576770.45884
0.6731.57690.45926
0.6741.577040.45969
0.6751.577180.46013
0.6761.577320.46056
0.6771.577470.461
0.6781.577620.46143
0.6791.577770.46189
0.681.577920.46232
0.6811.578080.46276
0.6821.578250.46321
0.6831.578410.46365
0.6841.578580.4641
0.6851.578750.46455
0.6861.578920.46499
0.6871.57910.46544
0.6881.579280.46588
0.6891.579470.46633
0.691.579660.46679
0.6911.579850.46724
0.6921.580040.46769
0.6931.580240.46814
0.6941.580450.4686
0.6951.580660.46906
0.6961.580860.4695
0.6971.581070.46995
0.6981.58130.47041
0.6991.581510.47086
0.71.581740.47131
0.7011.581970.47177
0.7021.58220.47223
0.7031.582430.47267
0.7041.582670.47312
0.7051.582910.47357
0.7061.583160.47403
0.7071.583410.47448
0.7081.583660.47493
0.7091.583910.47537
0.711.584180.47582
0.7111.584440.47627
0.7121.584710.47672
0.7131.584970.47715
0.7141.585250.4776
0.7151.585530.47805
0.7161.58580.47848
0.7171.586080.47891
0.7181.586370.47935
0.7191.586660.47979
0.721.586950.48023
0.7211.587250.48066
0.7221.587550.48109
0.7231.587850.48152
0.7241.588160.48194
0.7251.588460.48236
0.7261.588770.48278
0.7271.589090.48321
0.7281.589410.48362
0.7291.589730.48404
0.731.590050.48445
0.7311.590380.48487
0.7321.59070.48526
0.7331.591030.48567
0.7341.591370.48608
0.7351.591710.48648
0.7361.592050.48688
0.7371.592390.48727
0.7381.592730.48766
0.7391.593070.48805
0.741.593410.48843
0.7411.593760.4888
0.7421.594110.48919
0.7431.594470.48956
0.7441.594810.48993
0.7451.595180.4903
0.7461.595530.49066
0.7471.595890.49103
0.7481.596260.49139
0.7491.596620.49175
0.751.596970.49209
0.7511.597340.49244
0.7521.59770.49279
0.7531.598070.49313
0.7541.598440.49347
0.7551.598810.4938
0.7561.599180.49414
0.7571.599550.49446
0.7581.599920.49479
0.7591.600290.4951
0.761.600660.49542
0.7611.601030.49573
0.7621.601410.49604
0.7631.601780.49635
0.7641.602150.49664
0.7651.602530.49695
0.7661.60290.49724
0.7671.603280.49753
0.7681.603640.49781
0.7691.604020.4981
0.771.604390.49838
0.7711.604760.49866
0.7721.605120.49892
0.7731.605490.49919
0.7741.605860.49945
0.7751.606230.49972
0.7761.60660.49997
0.7771.606980.50024
0.7781.607340.50049
0.7791.60770.50073
0.781.608060.50097
0.7811.608430.50122
0.7821.608780.50145
0.7831.609150.50169
0.7841.60950.50192
0.7851.609860.50215
0.7861.61020.50237
0.7871.610560.50259
0.7881.610920.50281
0.7891.611260.50302
0.791.61160.50323
0.7911.611950.50344
0.7921.61230.50365
0.7931.612630.50385
0.7941.612970.50405
0.7951.61330.50425
0.7961.613640.50445
0.7971.613970.50464
0.7981.61430.50483
0.7991.614630.50502
0.81.614950.5052
0.8011.615270.50538
0.8021.615590.50557
0.8031.615910.50575
0.8041.616220.50592
0.8051.616520.50609
0.8061.616840.50627
0.8071.617140.50644
0.8081.617440.5066
0.8091.617740.50677
0.811.618030.50694
0.8111.618320.50709
0.8121.618610.50726
0.8131.61890.50742
0.8141.619180.50758
0.8151.619460.50773
0.8161.619740.50788
0.8171.620010.50804
0.8181.620280.50819
0.8191.620550.50834
0.821.620810.50849
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2.1121.872250.80488
2.1131.872540.80482
2.1141.872830.80476
2.1151.873120.8047
2.1161.87340.80464
2.1171.873690.80458
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2.121.874520.80436
2.1211.87480.80428
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2.1231.875340.80412
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2.131.877250.80357
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2.1321.87780.80342
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2.1341.878310.80323
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2.1371.879070.80294
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2.1391.879580.80275
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2.1411.880090.80256
2.1421.880350.80247
2.1431.88060.80238
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2.1471.881610.80198
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2.181.888950.79803
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2.2381.89820.78909
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2.241.898420.78875
2.2411.898530.78857
2.2421.898640.7884
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2.2441.898860.78806
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2.2461.899080.78771
2.2471.899190.78754
2.2481.89930.78737
2.2491.899410.7872

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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
—