Optical constants

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

Querry 1985: Graphite pellet, Dixon KS-2; 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
1.58004
Extinction coefficient k
0.86108
Permittivity ε1
1.75507
Permittivity ε2
2.72108
Absorption coefficient α
184150 cm⁻¹
Penetration depth δ = λ/(2πk)
108.607 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.4 µm⁻¹
Group index ng
1.345
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: Graphite pellet, Dixon KS-2; n,k 0.21–55.6 µm
c = ls.fetch_refractiveindex("main", "C", "Querry-DixonKS2", 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

Graphite pellet from Dixon KS-2 powder.

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: Graphite pellet, Dixon KS-2; n,k 0.21–55.6 µm: n and k versus wavelength
λ (µm)nk
0.210.8610.636
0.220.9030.721
0.230.9650.807
0.241.050.885
0.251.1660.936
0.261.2860.929
0.271.3670.886
0.281.4140.842
0.291.4410.806
0.31.4580.779
0.311.4690.758
0.321.4740.744
0.331.4820.737
0.341.4890.726
0.351.4890.719
0.361.4890.718
0.371.490.721
0.381.4940.725
0.391.4990.729
0.41.5040.733
0.411.5080.736
0.421.5110.739
0.431.5140.745
0.441.5170.751
0.451.520.758
0.461.5240.765
0.471.5280.773
0.481.5320.782
0.491.5390.79
0.51.5440.796
0.511.5490.802
0.521.5530.809
0.531.5580.816
0.541.5620.823
0.551.5660.831
0.561.5690.838
0.571.5720.846
0.581.5770.855
0.591.5810.863
0.61.5850.87
0.611.5890.878
0.621.5930.887
0.631.5970.895
0.641.6020.905
0.651.6070.912
0.661.610.919
0.671.6120.928
0.681.6160.938
0.691.6210.947
0.71.6250.956
0.711.630.965
0.721.6340.974
0.731.6390.983
0.741.6440.992
0.751.6481.0
0.761.6531.01
0.771.6581.018
0.781.6631.027
0.791.6681.036
0.81.6741.043
0.811.6781.049
0.821.6821.058
0.831.6861.066
0.841.6891.075
0.851.6941.083
0.861.6971.09
0.871.7011.099
0.881.7041.108
0.891.7081.118
0.91.7131.126
0.911.7161.135
0.921.7191.145
0.931.7241.154
0.941.7281.164
0.951.7331.173
0.961.7371.182
0.971.7421.191
0.981.7471.201
0.991.7511.21
1.01.7561.219
1.011.7611.228
1.021.7661.238
1.031.7711.247
1.041.7751.256
1.051.7811.266
1.061.7861.275
1.071.7911.283
1.081.7961.293
1.091.8011.302
1.11.8071.311
1.111.8121.32
1.121.8171.329
1.131.8221.338
1.141.8281.347
1.151.8341.356
1.161.8391.366
1.171.8451.375
1.181.8511.384
1.191.8561.393
1.21.8641.403
1.211.871.41
1.221.8761.419
1.231.8831.427
1.241.8881.435
1.251.8951.444
1.261.9011.452
1.271.9071.46
1.281.9141.469
1.291.921.476
1.31.9261.484
1.311.9331.493
1.321.9391.5
1.331.9451.508
1.341.9521.516
1.351.9591.524
1.361.9651.531
1.371.9711.539
1.381.9781.547
1.391.9851.554
1.41.9911.561
1.411.9971.568
1.422.0041.575
1.432.011.583
1.442.0161.59
1.452.0231.597
1.462.0291.604
1.472.0361.611
1.482.0421.619
1.492.0481.625
1.52.0541.632
1.512.0621.64
1.522.0681.647
1.532.0761.653
1.542.0811.659
1.552.0881.667
1.562.0951.673
1.572.1021.68
1.582.1081.685
1.592.1131.692
1.62.121.698
1.612.1271.705
1.622.1341.711
1.632.1411.717
1.642.1461.723
1.652.1531.729
1.662.161.735
1.672.1661.741
1.682.1721.747
1.692.1781.754
1.72.1851.76
1.712.1911.765
1.722.1981.771
1.732.2041.777
1.742.2111.784
1.752.2181.789
1.762.2241.795
1.772.2311.801
1.782.2381.807
1.792.2461.812
1.82.2531.817
1.812.261.82
1.822.2651.825
1.832.2711.831
1.842.2791.836
1.852.2861.84
1.862.2931.843
1.872.2971.847
1.882.3021.851
1.892.3071.857
1.92.3141.862
1.912.3191.867
1.922.3251.872
1.932.3311.876
1.942.3371.881
1.952.3431.885
1.962.3491.89
1.972.3541.895
1.982.3611.899
1.992.3661.904
2.02.3741.909
2.012.381.911
2.022.3841.915
2.032.3891.92
2.042.3951.924
2.052.41.928
2.062.4061.932
2.072.4111.936
2.082.4171.94
2.092.4231.944
2.12.4281.947
2.112.4331.951
2.122.4381.955
2.132.4421.958
2.142.4471.962
2.152.4521.965
2.162.4561.969
2.172.461.973
2.182.4651.977
2.192.4691.981
2.22.4731.985
2.212.4771.989
2.222.4821.994
2.232.4861.998
2.242.4912.003
2.252.4962.007
2.262.52.009
2.272.5032.014
2.282.5062.018
2.292.512.023
2.32.5152.028
2.312.5192.032
2.322.5232.037
2.332.5272.042
2.342.5312.046
2.352.5352.051
2.362.5392.055
2.372.5442.061
2.382.5482.065
2.392.5532.07
2.42.5572.074
2.412.5612.076
2.422.5652.083
2.432.572.088
2.442.5742.092
2.452.5772.096
2.462.582.1
2.472.5812.107
2.482.5872.115
2.492.5922.12
2.52.5972.127
2.50632.6022.132
2.51262.6082.132
2.51892.6092.133
2.52532.6122.137
2.53162.6152.14
2.53812.6182.143
2.54452.622.145
2.5512.6232.15
2.55752.6272.153
2.56412.632.155
2.57072.6342.158
2.57732.6382.16
2.5842.6392.162
2.59072.6422.165
2.59742.6442.17
2.60422.6482.172
2.6112.6512.175
2.61782.6532.179
2.62472.6572.184
2.63162.6622.186
2.63852.6642.187
2.64552.6672.193
2.65252.6732.195
2.65962.6732.197
2.66672.6772.202
2.67382.6812.202
2.6812.6822.205
2.68822.6842.212
2.69542.6912.215
2.70272.6922.216
2.712.6942.22
2.71742.6982.226
2.72482.7032.227
2.73222.7042.233
2.73972.7112.236
2.74732.7122.239
2.75482.7162.242
2.76242.7192.246
2.77012.7242.25
2.77782.7262.252
2.78552.7292.258
2.79332.7332.262
2.80112.7392.267
2.8092.7432.268
2.81692.7452.272
2.82492.752.276
2.83292.7542.281
2.84092.7582.283
2.8492.762.287
2.85712.7672.293
2.86532.7742.295
2.87362.7762.297
2.88182.7792.301
2.89022.7842.303
2.89862.7862.307
2.9072.7892.312
2.91552.7942.318
2.9242.82.323
2.93262.8062.324
2.94122.8092.328
2.94992.8142.33
2.95862.8162.336
2.96742.8232.339
2.97622.8272.343
2.98512.8322.346
2.9942.8372.35
3.0032.8412.354
3.0122.8462.359
3.02112.8532.36
3.03032.8552.364
3.03952.8632.368
3.04882.8662.369
3.05812.8712.373
3.06752.8752.376
3.07692.882.38
3.08642.8842.384
3.0962.8912.387
3.10562.8922.388
3.11532.8952.395
3.1252.92.399
3.13482.9092.406
3.14472.9152.406
3.15462.9182.409
3.16462.9222.414
3.17462.9292.42
3.18472.9372.422
3.19492.9422.421
3.20512.9432.423
3.21542.9472.43
3.22582.9562.435
3.23622.962.436
3.24682.9652.44
3.25732.9712.442
3.2682.9742.445
3.27872.9792.45
3.28952.9832.453
3.30032.9912.459
3.31132.9962.46
3.32233.02.464
3.33333.0072.467
3.34453.0112.469
3.35573.0152.474
3.3673.0222.477
3.37843.0272.478
3.38983.0312.482
3.40143.0372.486
3.4133.0392.488
3.42473.0452.493
3.43643.052.496
3.44833.0552.501
3.46023.0612.505
3.47223.0652.507
3.48433.072.511
3.49653.0762.515
3.50883.0782.519
3.52113.0842.527
3.53363.0922.529
3.54613.0972.533
3.55873.1022.538
3.57143.1082.542
3.58423.1142.547
3.59713.1232.55
3.61013.1272.55
3.62323.1292.557
3.63643.1392.561
3.64963.1432.562
3.6633.1482.567
3.67653.1532.572
3.693.1612.576
3.70373.1652.579
3.71753.1712.583
3.73133.1752.588
3.74533.1842.593
3.75943.1872.596
3.77363.1932.602
3.78793.2012.606
3.80233.2082.607
3.81683.2112.613
3.83143.2172.62
3.84623.2252.625
3.8613.2312.626
3.8763.2382.631
3.89113.2442.634
3.90633.2492.639
3.92163.2542.644
3.9373.2612.65
3.95263.2692.654
3.96833.2752.658
3.98413.2832.664
4.03.2892.666
4.01613.2952.674
4.03233.3052.679
4.04863.3112.682
4.0653.3182.688
4.08163.3282.69
4.09843.3352.694
4.11523.3432.698
4.13223.3522.706
4.14943.3662.708
4.16673.3762.71
4.18413.3922.715
4.20173.4162.701
4.21943.4172.669
4.23733.3832.653
4.25533.3672.678
4.27353.3682.685
4.29183.3612.701
4.31033.3562.72
4.3293.3662.746
4.34783.3792.758
4.36683.3932.772
4.3863.4082.778
4.40533.4192.782
4.42483.4272.788
4.44443.4372.796
4.46433.4472.801
4.48433.4562.806
4.50453.4642.81
4.52493.4712.817
4.54553.4822.822
4.56623.4882.828
4.58723.4982.837
4.60833.5062.845
4.62963.5192.851
4.65123.5282.853
4.67293.5372.859
4.69483.5472.863
4.7173.5562.868
4.73933.5622.872
4.76193.572.883
4.78473.5812.887
4.80773.592.894
4.83093.6042.899
4.85443.612.9
4.8783.6162.907
4.9023.6272.915
4.92613.6392.921
4.95053.6482.923
4.97513.652.928
5.03.6532.942
5.02513.6722.959
5.05053.6912.961
5.07613.7022.965
5.1023.7142.97
5.12823.7262.974
5.15463.7382.977
5.18133.7482.982
5.20833.762.988
5.23563.7732.991
5.26323.7832.994
5.2913.7933.0
5.31913.8073.003
5.34763.8173.006
5.37633.8293.01
5.40543.8383.01
5.43483.8463.017
5.46453.8563.022
5.49453.8693.028
5.52493.8823.03
5.55563.893.034
5.58663.9023.04
5.6183.9133.04
5.64973.9223.046
5.68183.9353.05
5.71433.9443.051
5.74713.9463.055
5.78033.9593.065
5.8143.9733.069
5.8483.9863.069
5.88243.9913.071
5.91724.0013.081
5.95244.0133.082
5.9884.0193.09
6.02414.0343.095
6.06064.043.099
6.09764.0543.103
6.1354.0593.105
6.17284.0683.113
6.21124.0733.115
6.254.0693.129
6.28934.0853.162
6.32914.1253.171
6.36944.1453.161
6.41034.1553.156
6.45164.1623.154
6.49354.1623.162
6.53594.1773.173
6.57894.1893.174
6.62254.1983.18
6.66674.2083.188
6.71144.223.194
6.75684.2343.201
6.80274.2473.204
6.84934.2563.207
6.89664.2643.218
6.94444.283.223
6.9934.2883.226
7.04234.2983.235
7.09224.3133.24
7.14294.3223.246
7.19424.3343.255
7.24644.3453.261
7.29934.3593.268
7.35294.373.273
7.40744.3823.279
7.46274.3933.285
7.51884.4063.291
7.57584.4123.296
7.63364.4233.306
7.69234.4333.314
7.75194.4433.324
7.81254.4573.333
7.8744.4653.336
7.93654.4733.352
8.04.493.361
8.06454.4943.37
8.13014.5113.389
8.19674.5283.391
8.26454.5333.401
8.33334.5473.417
8.40344.5643.427
8.47464.5763.437
8.5474.5883.449
8.62074.63.457
8.69574.6123.474
8.77194.6343.486
8.84964.6473.49
8.92864.6513.501
9.0094.6643.523
9.09094.6843.538
9.17434.7033.553
9.25934.7233.558
9.34584.7293.569
9.4344.7453.585
9.52384.7583.601
9.61544.7793.62
9.70874.7983.63
9.80394.8143.638
9.9014.8253.653
10.04.8433.67
10.1014.8593.686
10.20414.8783.7
10.30934.8923.716
10.41674.9113.732
10.52634.9243.749
10.63834.9483.77
10.75274.9693.779
10.86964.9863.794
10.9895.0033.807
11.11115.0193.825
11.2365.0353.842
11.36365.0493.854
11.49435.0593.888
11.62795.0993.913
11.76475.1163.917
11.90485.1263.933
12.04825.143.954
12.19515.1583.978
12.34575.1774.001
12.55.1964.026
12.65825.2114.046
12.82055.2284.077
12.9875.2554.103
13.15795.2754.125
13.33335.2914.152
13.51355.3114.186
13.69865.3364.211
13.88895.3524.243
14.08455.3814.279
14.28575.4084.301
14.49285.4224.328
14.70595.4414.365
14.92545.4574.405
15.15155.484.449
15.38465.5014.491
15.6255.5354.544
15.8735.5724.579
16.1295.5964.616
16.39345.6144.664
16.66675.6524.719
16.94925.6814.762
17.24145.7084.813
17.54395.7384.874
17.85715.7814.936
18.18185.8174.984
18.51855.8485.049
18.86795.8845.115
19.23085.9265.193
19.60785.9815.261
20.06.0235.326
20.40826.0685.41
20.83336.1245.49
21.27666.1825.581
21.73916.2535.663
22.22226.3065.748
22.72736.3725.853
23.25586.4615.946
23.80956.5376.033
24.39026.6116.135
25.06.696.252
25.6416.7836.372
26.31586.8886.49
27.0276.9916.62
27.77787.1176.754
28.57147.2426.881
29.41187.3847.04
30.3037.5457.177
31.257.6997.334
32.25817.9097.502
33.33338.1467.612
34.48288.3077.717
35.71438.4957.897
37.0378.7128.068
38.46158.9388.265
40.09.228.502
41.66679.6088.714
43.47839.9378.853
45.454510.2569.141
47.61910.8089.43
50.011.3939.614
52.631612.1729.771
55.555612.9729.768

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
—