Optical constants

Refractive index of Be (Beryllium)

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
3.36133
Extinction coefficient k
3.15172
Permittivity ε1
1.36526
Permittivity ε2
21.1879
Absorption coefficient α
674024 cm⁻¹
Penetration depth δ = λ/(2πk)
29.6726 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
1.06125 µm⁻¹
Group index ng
2.73774
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

# Be (Beryllium): Rakić et al. 1998: Brendel-Bormann model; n,k 0.248–62.0 µm
be = ls.fetch_refractiveindex("main", "Be", "Rakic-BB", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(be.range_nm)  # (247.97, 61992) nm
eps = be.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
Be (Beryllium), Rakić et al. 1998: Brendel-Bormann model; n,k 0.248–62.0 µm: n and k versus wavelength
λ (µm)nk
0.247971.64442.9702
0.254941.72783.0024
0.262121.81123.0308
0.269491.89423.0554
0.277071.97633.0766
0.284872.05733.0944
0.292882.13683.1091
0.301122.21473.121
0.30962.29073.1302
0.318312.36463.1372
0.327262.43623.142
0.336472.50553.145
0.345942.57233.1464
0.355672.63663.1466
0.365682.69833.1456
0.375962.75743.1439
0.386542.81393.1415
0.397422.86783.1388
0.40862.9193.1358
0.420092.96773.1328
0.431913.01383.13
0.444063.05743.1275
0.456563.09843.1255
0.46943.1373.1241
0.482613.17313.1235
0.496193.20683.1238
0.510153.23813.125
0.52453.2673.1275
0.539263.29373.1312
0.554433.3183.1362
0.570033.343.1427
0.586063.35973.1508
0.602553.37723.1606
0.61953.39243.1723
0.636933.40543.1858
0.654853.41613.2013
0.673283.42463.2191
0.692223.43083.239
0.71173.43483.2614
0.731723.43663.2863
0.752313.4363.3139
0.773473.43323.3443
0.795233.42823.3777
0.817613.42093.4142
0.840613.41133.454
0.864263.39943.4973
0.888573.38533.5442
0.913573.3693.5951
0.939283.35053.6499
0.96573.32983.7091
0.992873.3073.7728
1.02083.28223.8412
1.04953.25543.9145
1.07913.22683.9931
1.10943.19644.077
1.14063.16444.1666
1.17273.13094.262
1.20573.09614.3635
1.23963.06024.4712
1.27453.02334.5854
1.31042.98564.7062
1.34722.94744.8338
1.38512.90894.9683
1.42412.87025.1099
1.46422.83165.2586
1.50542.79335.4145
1.54772.75555.5777
1.59132.71835.7482
1.6362.6825.9262
1.68212.64666.1116
1.72942.61256.3045
1.7782.57966.5049
1.82812.54816.7128
1.87952.5186.9283
1.93242.48967.1515
1.98672.46297.3823
2.04262.43797.6208
2.10012.41477.8671
2.15922.39348.1213
2.21992.3748.3835
2.28242.35658.6537
2.34662.3418.932
2.41262.32769.2186
2.48052.31639.5136
2.55032.3079.8172
2.62212.310.129
2.69582.295110.451
2.77172.292410.781
2.84972.292111.12
2.92982.29411.469
3.01232.298411.827
3.0972.305212.195
3.18412.314512.573
3.27372.326412.962
3.36582.340913.361
3.46052.358213.77
3.55792.378314.191
3.6582.401314.623
3.76092.427315.067
3.86672.456415.522
3.97552.488815.99
4.08732.524616.47
4.20232.563816.963
4.32062.606817.468
4.44212.653517.988
4.56712.704118.521
4.69562.758919.068
4.82772.818119.629
4.96352.881720.205
5.10322.950120.796
5.24683.023421.403
5.39443.101922.026
5.54613.185822.665
5.70223.275423.32
5.86263.37123.992
6.02753.472824.682
6.19713.581125.39
6.37153.696326.116
6.55073.818726.86
6.7353.948727.624
6.92454.086628.406
7.11934.232829.209
7.31964.387730.032
7.52564.551730.876
7.73734.725431.74
7.9554.909132.627
8.17885.103433.535
8.40895.308734.465
8.64555.525635.418
8.88875.754636.395
9.13885.996437.394
9.39596.251538.418
9.66036.520539.466
9.93216.804140.539
10.2127.102941.636
10.4997.417742.759
10.7947.749243.908
11.0988.09845.083
11.418.465146.283
11.7318.85147.511
12.0619.256848.765
12.4019.683150.046
12.74910.13151.355
13.10810.60152.69
13.47711.09454.053
13.85611.61155.444
14.24612.15456.862
14.64712.72258.308
15.05913.31759.782
15.48213.9461.283
15.91814.59262.812
16.36615.27464.368
16.82615.98665.952
17.316.7367.562
17.78617.50669.199
18.28718.31670.863
18.80119.16172.552
19.3320.04174.267
19.87420.95776.007
20.43321.9177.772
21.00822.90279.561
21.59923.93281.373
22.20725.00183.208
22.83226.11185.066
23.47427.26186.944
24.13428.45488.844
24.81329.68890.763
25.51230.96592.701
26.22932.28494.658
26.96733.64896.631
27.72635.05498.622
28.50636.505100.63
29.30838.0102.65
30.13339.54104.68
30.9841.123106.73
31.85242.751108.79
32.74844.423110.86
33.6746.139112.94
34.61747.899115.03
35.59149.702117.13
36.59251.548119.24
37.62253.437121.36
38.6855.369123.48
39.76857.342125.61
40.88759.356127.75
42.03861.411129.89
43.2263.506132.04
44.43665.641134.19
45.68667.814136.35
46.97270.025138.51
48.29372.273140.68
49.65274.558142.85
51.04976.879145.03
52.48579.235147.21
53.96281.626149.39
55.4884.05151.59
57.04186.508153.78
58.64688.998155.99
60.29691.521158.2
61.99294.075160.42

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
—