Optical constants

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

Querry 1985: Pyrolytic carbon; n,k 0.21–55.6 µm

Data
tabulated nk
Range
0.21–55.56 µm
Points
612
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.21–55.56 µm
Refractive index n
1.62628
Extinction coefficient k
0.75136
Permittivity ε1
2.08024
Permittivity ε2
2.44384
Absorption coefficient α
160685 cm⁻¹
Penetration depth δ = λ/(2πk)
124.467 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.3 µm⁻¹
Group index ng
1.45
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): Querry 1985: Pyrolytic carbon; n,k 0.21–55.6 µm
c = ls.fetch_refractiveindex("main", "C", "Querry-Pyrolytic", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c.range_nm)  # (210, 55555.6) 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

Pyrolytic carbon (pyrolytic graphite).

References

M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985)

Cite

M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

612 rows as published
C (Carbon, diamond, graphite, graphene, carbon nanotubes), Querry 1985: Pyrolytic carbon; n,k 0.21–55.6 µm: n and k versus wavelength
λ (µm)nk
0.211.2480.411
0.221.2930.503
0.231.3610.564
0.241.4450.601
0.251.5320.603
0.261.6070.569
0.271.6430.511
0.281.640.466
0.291.6260.445
0.31.6130.436
0.311.60.434
0.321.5890.439
0.331.5830.447
0.341.5770.454
0.351.570.465
0.361.5670.47
0.371.5650.491
0.381.5640.504
0.391.5650.517
0.41.5650.529
0.411.5660.542
0.421.5670.556
0.431.5680.569
0.441.5710.583
0.451.5740.596
0.461.5770.61
0.471.5810.623
0.481.5860.636
0.491.5910.648
0.51.5960.659
0.511.60.669
0.521.6050.68
0.531.6080.69
0.541.6120.7
0.551.6150.711
0.561.6180.721
0.571.6220.732
0.581.6240.743
0.591.6270.754
0.61.630.765
0.611.6340.777
0.621.6370.788
0.631.640.8
0.641.6460.814
0.651.6510.822
0.661.6530.832
0.671.6570.844
0.681.6610.855
0.691.6660.866
0.71.670.877
0.711.6750.888
0.721.680.898
0.731.6840.909
0.741.6890.919
0.751.6930.929
0.761.6970.94
0.771.7020.95
0.781.7060.96
0.791.7110.97
0.81.7160.979
0.811.7180.988
0.821.7210.999
0.831.7251.011
0.841.7311.022
0.851.7361.032
0.861.7411.044
0.871.7481.054
0.881.7541.062
0.891.7581.07
0.91.7621.08
0.911.7681.09
0.921.7731.098
0.931.7781.107
0.941.7831.116
0.951.7871.124
0.961.7921.132
0.971.7961.141
0.981.81.149
0.991.8041.158
1.01.8071.167
1.011.8111.176
1.021.8151.185
1.031.8191.194
1.041.8231.204
1.051.8271.213
1.061.8311.222
1.071.8361.231
1.081.841.24
1.091.8441.249
1.11.8481.257
1.111.8521.266
1.121.8561.275
1.131.8591.284
1.141.8631.293
1.151.8671.302
1.161.8711.311
1.171.8741.321
1.181.8781.329
1.191.881.338
1.21.8821.352
1.211.8911.366
1.221.8981.374
1.231.9041.382
1.241.9091.39
1.251.9141.399
1.261.921.407
1.271.9251.416
1.281.931.424
1.291.9351.432
1.31.941.44
1.311.9451.448
1.321.9491.456
1.331.9541.465
1.341.9581.473
1.351.9621.482
1.361.9671.49
1.371.9711.499
1.381.9761.508
1.391.9811.516
1.41.9861.524
1.411.991.533
1.421.9961.543
1.432.0011.551
1.442.0061.559
1.452.0121.567
1.462.0171.576
1.472.0221.584
1.482.0281.591
1.492.0321.6
1.52.0381.608
1.512.0431.616
1.522.051.624
1.532.0551.63
1.542.0591.638
1.552.0661.646
1.562.0711.652
1.572.0761.66
1.582.0811.666
1.592.0851.673
1.62.091.68
1.612.0941.687
1.622.0971.694
1.632.1011.702
1.642.1051.71
1.652.1081.72
1.662.1161.73
1.672.1241.735
1.682.1271.741
1.692.1321.749
1.72.1371.757
1.712.1411.765
1.722.1461.772
1.732.1511.78
1.742.1571.788
1.752.1621.795
1.762.1681.802
1.772.1741.809
1.782.1791.817
1.792.1841.824
1.82.1911.831
1.812.1971.836
1.822.2021.841
1.832.2071.848
1.842.2121.854
1.852.2171.861
1.862.2231.864
1.872.2241.868
1.882.2271.877
1.892.2321.884
1.92.2361.89
1.912.2391.896
1.922.2431.903
1.932.2471.91
1.942.2511.918
1.952.2551.925
1.962.261.931
1.972.2631.937
1.982.2661.944
1.992.2661.95
2.02.2661.965
2.012.2771.979
2.022.2861.985
2.032.2931.991
2.042.2991.997
2.052.3052.003
2.062.3112.009
2.072.3162.015
2.082.3212.021
2.092.3272.026
2.12.3312.032
2.112.3362.038
2.122.3412.045
2.132.3452.051
2.142.352.056
2.152.3542.062
2.162.3582.069
2.172.3632.075
2.182.3672.081
2.192.3722.087
2.22.3762.093
2.212.3792.1
2.222.3832.107
2.232.3872.114
2.242.3912.121
2.252.3942.129
2.262.42.138
2.272.4062.145
2.282.4122.153
2.292.4192.16
2.32.4262.165
2.312.4312.17
2.322.4362.175
2.332.442.182
2.342.4452.189
2.352.452.196
2.362.4562.202
2.372.4622.208
2.382.4662.214
2.392.4722.22
2.42.4772.226
2.412.4822.232
2.422.4872.238
2.432.4922.245
2.442.4982.253
2.452.5042.26
2.462.5122.267
2.472.5212.273
2.482.532.279
2.492.5422.285
2.52.5732.269
2.50632.5512.264
2.51262.5482.268
2.51892.5472.271
2.52532.5452.276
2.53162.5462.282
2.53812.5492.287
2.54452.5522.291
2.5512.5542.293
2.55752.5552.297
2.56412.5562.301
2.57072.5592.306
2.57732.5622.311
2.5842.5652.315
2.59072.5682.318
2.59742.5712.322
2.60422.5722.327
2.6112.5762.331
2.61782.582.334
2.62472.5822.338
2.63162.5862.341
2.63852.5872.344
2.64552.5892.348
2.65252.592.354
2.65962.5932.36
2.66672.5972.365
2.67382.6022.37
2.6812.6072.373
2.68822.612.376
2.69542.6122.378
2.70272.6142.383
2.712.6152.388
2.71742.6192.395
2.72482.6262.399
2.73222.632.402
2.73972.6332.405
2.74732.6352.409
2.75482.6392.413
2.76242.6422.418
2.77012.6462.421
2.77782.6482.426
2.78552.6522.431
2.79332.6552.435
2.80112.6592.44
2.8092.6612.445
2.81692.6672.45
2.82492.6712.453
2.83292.6752.457
2.84092.6762.461
2.8492.6822.466
2.85712.6852.47
2.86532.6892.476
2.87362.6942.48
2.88182.6982.484
2.89022.7012.486
2.89862.7032.493
2.9072.7082.498
2.91552.7132.503
2.9242.7182.506
2.93262.7212.509
2.94122.7252.513
2.94992.7282.517
2.95862.7312.521
2.96742.7342.527
2.97622.7392.532
2.98512.7422.537
2.9942.7462.543
3.0032.7512.548
3.0122.7562.552
3.02112.7592.557
3.03032.7652.563
3.03952.7712.567
3.04882.7762.569
3.05812.7782.573
3.06752.7822.579
3.07692.7862.583
3.08642.7912.588
3.0962.7952.592
3.10562.7992.597
3.11532.8032.602
3.1252.8082.607
3.13482.8112.612
3.14472.8152.617
3.15462.8222.621
3.16462.8262.626
3.17462.832.629
3.18472.8332.636
3.19492.8392.642
3.20512.8452.647
3.21542.852.649
3.22582.8532.654
3.23622.8562.659
3.24682.8642.665
3.25732.8692.668
3.2682.8732.673
3.27872.8772.676
3.28952.882.681
3.30032.8842.686
3.31132.8882.692
3.32232.8932.698
3.33332.8992.703
3.34452.9032.707
3.35572.9072.712
3.3672.9112.718
3.37842.9162.724
3.38982.9212.727
3.40142.9232.733
3.4132.9282.74
3.42472.9342.748
3.43642.9422.752
3.44832.9462.756
3.46022.9512.762
3.47222.9562.767
3.48432.9622.773
3.49652.9662.777
3.50882.9712.783
3.52112.9762.788
3.53362.9822.794
3.54612.9872.797
3.55872.9912.803
3.57142.9942.808
3.58423.02.817
3.59713.0062.821
3.61013.0112.827
3.62323.0152.833
3.63643.0212.84
3.64963.0272.845
3.6633.0332.851
3.67653.0382.856
3.693.0432.861
3.70373.0472.868
3.71753.0522.875
3.73133.0572.882
3.74533.0652.888
3.75943.0712.894
3.77363.0762.9
3.78793.0822.906
3.80233.0892.912
3.81683.0952.918
3.83143.1012.922
3.84623.1062.927
3.8613.1092.934
3.8763.1142.943
3.89113.1222.949
3.90633.1272.955
3.92163.1322.962
3.9373.1382.969
3.95263.1462.977
3.96833.1522.982
3.98413.1572.989
4.03.1652.995
4.01613.173.002
4.03233.1773.009
4.04863.1833.017
4.0653.193.024
4.08163.1983.028
4.09843.2053.034
4.11523.213.039
4.13223.2143.045
4.14943.2193.054
4.16673.2253.064
4.18413.2353.073
4.20173.2453.077
4.21943.2513.08
4.23733.2543.086
4.25533.2593.093
4.27353.2663.101
4.29183.2723.107
4.31033.2753.115
4.3293.283.124
4.34783.2853.134
4.36683.2943.145
4.3863.3023.153
4.40533.3123.16
4.42483.3183.166
4.44443.3243.174
4.46433.3313.181
4.48433.3373.191
4.50453.3453.199
4.52493.3523.208
4.54553.3613.217
4.56623.3683.225
4.58723.3773.231
4.60833.3833.239
4.62963.3883.249
4.65123.3963.258
4.67293.4063.269
4.69483.4143.277
4.7173.4213.284
4.73933.433.292
4.76193.4383.302
4.78473.4473.307
4.80773.4523.316
4.83093.463.327
4.85443.4693.335
4.8783.4773.342
4.9023.4823.351
4.92613.493.359
4.95053.4943.366
4.97513.4913.376
5.03.4943.399
5.02513.5073.421
5.05053.5263.437
5.07613.5413.444
5.1023.5543.452
5.12823.5633.463
5.15463.5763.474
5.18133.5883.483
5.20833.6023.49
5.23563.6113.498
5.26323.6183.507
5.2913.6283.519
5.31913.643.531
5.34763.6523.54
5.37633.6643.549
5.40543.6753.558
5.43483.6843.566
5.46453.6933.576
5.49453.7033.589
5.52493.7143.6
5.55563.7273.61
5.58663.7373.622
5.6183.7483.631
5.64973.7573.643
5.68183.7693.654
5.71433.7793.667
5.74713.7933.68
5.78033.8063.69
5.8143.8173.701
5.8483.8293.715
5.88243.8433.728
5.91723.8583.74
5.95243.8743.749
5.9883.8863.76
6.02413.8993.768
6.06063.9093.78
6.09763.9253.792
6.1353.9393.799
6.17283.9513.806
6.21123.9563.815
6.253.9613.829
6.28933.9693.85
6.32913.9873.872
6.36944.013.888
6.41034.0283.895
6.45164.0433.904
6.49354.0523.918
6.53594.0693.931
6.57894.0853.943
6.62254.1033.955
6.66674.1173.964
6.71144.133.975
6.75684.1383.989
6.80274.1554.006
6.84934.1734.02
6.89664.194.031
6.94444.2034.043
6.9934.224.061
7.04234.2394.07
7.09224.2544.079
7.14294.2664.091
7.19424.284.107
7.24644.2964.119
7.29934.314.134
7.35294.3274.148
7.40744.3424.161
7.46274.3574.175
7.51884.3734.19
7.57584.3864.205
7.63364.4044.219
7.69234.4194.235
7.75194.4364.25
7.81254.4484.265
7.8744.4644.283
7.93654.484.297
8.04.4954.316
8.06454.5064.332
8.13014.5234.356
8.19674.5414.377
8.26454.5614.4
8.33334.5864.419
8.40344.6054.434
8.47464.6264.453
8.5474.6464.471
8.62074.6624.486
8.69574.6784.505
8.77194.6974.528
8.84964.7174.551
8.92864.7384.569
9.0094.7554.589
9.09094.7754.617
9.17434.7984.64
9.25934.8244.662
9.34584.8454.683
9.4344.8694.705
9.52384.8894.727
9.61544.9154.751
9.70874.9374.774
9.80394.9614.799
9.9014.9884.822
10.05.0144.844
10.1015.0374.863
10.20415.0584.885
10.30935.0794.909
10.41675.0984.934
10.52635.124.966
10.63835.154.995
10.75275.1755.02
10.86965.1955.044
10.9895.2165.077
11.11115.245.112
11.2365.2695.144
11.36365.2945.173
11.49435.3175.208
11.62795.3425.247
11.76475.3735.286
11.90485.4015.323
12.04825.435.367
12.19515.4635.407
12.34575.4995.449
12.55.5355.491
12.65825.5715.527
12.82055.6015.57
12.9875.6395.618
13.15795.6785.664
13.33335.725.705
13.51355.7555.751
13.69865.7945.799
13.88895.8335.847
14.08455.8785.898
14.28575.9085.948
14.49285.956.016
14.70596.0056.08
14.92546.0596.134
15.15156.1026.187
15.38466.1366.247
15.6256.1716.338
15.8736.246.442
16.1296.3346.535
16.39346.4346.602
16.66676.5216.661
16.94926.6076.723
17.24146.6956.78
17.54396.7796.842
17.85716.8716.904
18.18186.9626.96
18.51857.057.016
18.86797.1287.072
19.23087.2087.137
19.60787.297.223
20.07.3677.299
20.40827.4517.406
20.83337.5667.524
21.27667.6957.629
21.73917.837.72
22.22227.9637.818
22.72738.1097.934
23.25588.2768.037
23.80958.458.135
24.39028.6368.232
25.08.848.322
25.6419.0428.384
26.31589.2338.444
27.0279.4098.524
27.77789.6188.625
28.57149.8358.71
29.411810.0728.814
30.30310.3328.901
31.2510.6148.966
32.258110.8689.033
33.333311.1569.117
34.482811.4879.217
35.714311.8769.266
37.03712.2469.253
38.461512.6219.27
40.013.0299.235
41.666713.3969.144
43.478313.7429.11
45.454514.1949.101
47.61914.5978.938
50.014.9558.878
52.631615.4168.874
55.555616.0928.794

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
—