Optical constants

Refractive index of Cr (Chromium)

Rakić et al. 1998: Brendel-Bormann model; n,k 0.248–62.0 µm

Data
tabulated nk
Range
0.248–61.99 µm
Points
200
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.248–61.99 µm
Refractive index n
3.05041
Extinction coefficient k
4.25044
Permittivity ε1
-8.76125
Permittivity ε2
25.9312
Absorption coefficient α
908996 cm⁻¹
Penetration depth δ = λ/(2πk)
22.0023 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
6.50091 µm⁻¹
Group index ng
-0.769523
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

# Cr (Chromium): Rakić et al. 1998: Brendel-Bormann model; n,k 0.248–62.0 µm
cr = ls.fetch_refractiveindex("main", "Cr", "Rakic-BB", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cr.range_nm)  # (247.97, 61992) nm
eps = cr.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

Fit of experimental data from several sources to Brendel-Bormann (BB) model

References

A. D. Rakić, A. B. Djurišic, J. M. Elazar, M. L. Majewski. Optical properties of metallic films for vertical-cavity optoelectronic devices. Appl. Opt. 37, 5271-5283 (1998)
[Calculation script (Python)]
  • doi:10.1364/ao.37.005271 Optical properties of metallic films for vertical-cavity optoelectronic devices, Applied Optics (1998)

Cite

Aleksandar D. Rakić, Aleksandra B. Djurišić, Jovan M. Elazar and Marian L. Majewski. Optical properties of metallic films for vertical-cavity optoelectronic devices. Applied Optics, 37, 5271 (1998), doi:10.1364/ao.37.005271; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

200 rows as published
Cr (Chromium), Rakić et al. 1998: Brendel-Bormann model; n,k 0.248–62.0 µm: n and k versus wavelength
λ (µm)nk
0.247970.732262.3139
0.254940.765182.3811
0.262120.799932.4494
0.269490.836622.5186
0.277070.875372.5888
0.284870.916292.66
0.292880.959522.732
0.301121.00522.8049
0.30961.05342.8786
0.318311.10442.9529
0.327261.15833.0279
0.336471.21523.1032
0.345941.27523.1788
0.355671.33873.2545
0.365681.40553.3301
0.375961.4763.4052
0.386541.55023.4797
0.397421.62833.5531
0.40861.71013.6251
0.420091.79583.6954
0.431911.88533.7635
0.444061.97863.8289
0.456562.07533.8913
0.46942.17543.9501
0.482612.27844.0048
0.496192.38394.0552
0.510152.49164.1009
0.52452.60084.1414
0.539262.71094.1766
0.554432.82134.2063
0.570032.93144.2305
0.586063.04044.2492
0.602553.14764.2625
0.61953.25244.2706
0.636933.35414.2739
0.654853.45224.2727
0.673283.54624.2674
0.692223.63564.2586
0.71173.71994.2468
0.731723.79894.2326
0.752313.87244.2165
0.773473.94014.1991
0.795234.0024.181
0.817614.05794.1628
0.840614.10794.145
0.864264.1524.1281
0.888574.19024.1127
0.913574.22284.0992
0.939284.24974.088
0.96574.27124.0797
0.992874.28744.0745
1.02084.29854.0728
1.04954.30474.075
1.07914.30614.0815
1.10944.30294.0925
1.14064.29544.1083
1.17274.28384.1293
1.20574.26824.1557
1.23964.24884.1878
1.27454.22594.2259
1.31044.19974.2702
1.34724.17054.321
1.38514.13844.3785
1.42414.10374.443
1.46424.06674.5147
1.50544.02774.5939
1.54773.98694.6807
1.59133.94474.7754
1.6363.90144.8781
1.68213.85734.989
1.72943.81285.1081
1.7783.76825.2357
1.82813.72375.3717
1.87953.67995.5161
1.93243.63695.6691
1.98673.5955.8307
2.04263.55466.0007
2.10013.51596.1791
2.15923.47926.3659
2.21993.44456.5611
2.28243.41226.7645
2.34663.38246.9761
2.41263.35527.1959
2.48053.33077.4238
2.55033.30917.6597
2.62213.29047.9037
2.69583.27478.1557
2.77173.26218.4158
2.84973.25258.6839
2.92983.24618.9601
3.01233.24299.2444
3.0973.2439.537
3.18413.24639.8379
3.27373.25310.147
3.36583.26310.465
3.46053.276510.791
3.55793.293511.127
3.6583.314111.471
3.76093.338311.824
3.86673.366212.187
3.97553.39812.559
4.08733.433712.94
4.20233.473413.332
4.32063.517213.733
4.44213.565414.145
4.56713.61814.567
4.69563.675115.0
4.82773.737115.444
4.96353.803915.899
5.10323.875916.365
5.24683.953216.843
5.39444.036117.333
5.54614.124717.835
5.70224.219418.349
5.86264.320318.876
6.02754.427719.415
6.19714.54219.968
6.37154.663420.534
6.55074.792321.113
6.7354.928921.707
6.92455.073622.314
7.11935.226922.935
7.31965.388923.571
7.52565.560224.221
7.73735.74124.886
7.9555.93225.567
8.17886.133426.262
8.40896.345726.973
8.64556.569427.699
8.88876.80528.44
9.13887.052829.198
9.39597.313529.971
9.66037.587630.761
9.93217.875531.566
10.2128.177732.388
10.4998.494933.225
10.7948.827634.079
11.0989.176234.949
11.419.541535.835
11.7319.923836.737
12.06110.32437.654
12.40110.74238.588
12.74911.17939.537
13.10811.63640.502
13.47712.11241.482
13.85612.60942.477
14.24613.12743.487
14.64713.66644.512
15.05914.22745.55
15.48214.81146.603
15.91815.41747.669
16.36616.04748.748
16.82616.70149.84
17.317.37850.944
17.78618.0852.06
18.28718.80753.187
18.80119.55954.325
19.3320.33755.474
19.87421.13956.632
20.43321.96857.8
21.00822.82258.976
21.59923.70260.161
22.20724.60961.354
22.83225.54162.554
23.47426.49963.761
24.13427.48264.974
24.81328.49266.193
25.51229.52767.418
26.22930.58868.647
26.96731.67369.881
27.72632.78471.119
28.50633.91972.362
29.30835.07873.607
30.13336.26274.857
30.9837.46976.109
31.85238.69977.364
32.74839.95278.622
33.6741.22879.883
34.61742.52681.146
35.59143.84582.412
36.59245.18683.681
37.62246.54784.952
38.6847.92986.226
39.76849.33187.503
40.88750.75288.783
42.03852.19390.067
43.2253.65291.354
44.43655.1392.645
45.68656.62693.94
46.97258.1495.24
48.29359.67296.544
49.65261.22197.854
51.04962.78799.17
52.48564.37100.49
53.96265.97101.82
55.4867.586103.16
57.04169.219104.5
58.64670.868105.85
60.29672.533107.21
61.99274.214108.58

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
—