Optical constants

Refractive index of BeO (Beryllium monoxide)

Edwards and White 1991: n(e) 0.44–7.0 µm

Data: formula 1
Range: 0.44–7 µm
Optical axis: e
Licence: CC0-1.0

Uniaxial crystal, axes: oe

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.7341
Extinction coefficient k: 0

Permittivity ε₁: 3.00712
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 79.335
Chromatic dispersion dn/dλ: -0.0483254 µm⁻¹

Group index n_g: 1.7625
Group velocity dispersion: 77.7106 fs²/mm

Dispersion parameter D: -423.952 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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

# BeO (Beryllium monoxide): Edwards and White 1991: n(e) 0.44–7.0 µm
beo = ls.fetch_refractiveindex("main", "BeO", "Edwards-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(beo.range_nm)  # (440, 7000) nm
eps = beo.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_f84e0f13795e/lightsmith"
beo = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(beo.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (beo/edwards-white-1991-e).

# ... load beo as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=beo)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=440, stop_nm=1000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_f84e0f13795e/lightsmith?model=drude_lorentz"
beo_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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.

Dispersion formula

Sellmeier (formula 1), λ in µm

n^{2} - 1 = \frac{1.96939 λ^{2}}{λ^{2} - {0.0859}^{2}} + \frac{1.67389 λ^{2}}{λ^{2} - {10.4797}^{2}}

Valid from 0.44 to 7.0 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	1.96939
C3	0.0859
C4	1.67389
C5	10.4797

Comments and conditions

Extraordinary ray (e). Room temperature

Conditions

direction: e

Notes on the source data (kept exactly as published):

no primary reference in the source file

References

D. F. Edwards and R. H. White, "Beryllium Oxide," in E. D. Palik (ed.), Handbook of Optical Constants of Solids II, Academic Press, Orlando, 1991, pp. 805-814.

Cite

Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

BeO (Beryllium monoxide), Edwards and White 1991: n(e) 0.44–7.0 µm: n and k versus wavelength
λ (µm)	n
0.44	1.744841
0.443062	1.744509
0.446145	1.744181
0.44925	1.743858
0.452376	1.74354
0.455524	1.743226
0.458693	1.742916
0.461885	1.74261
0.465099	1.742308
0.468336	1.74201
0.471595	1.741716
0.474877	1.741426
0.478181	1.74114
0.481509	1.740858
0.484859	1.740579
0.488233	1.740304
0.491631	1.740033
0.495052	1.739765
0.498497	1.7395
0.501966	1.739239
0.505459	1.738982
0.508976	1.738727
0.512518	1.738476
0.516084	1.738228
0.519675	1.737983
0.523292	1.737741
0.526933	1.737502
0.5306	1.737266
0.534292	1.737033
0.53801	1.736803
0.541754	1.736575
0.545524	1.736351
0.54932	1.736129
0.553142	1.73591
0.556991	1.735693
0.560867	1.735479
0.56477	1.735267
0.5687	1.735058
0.572658	1.734851
0.576643	1.734647
0.580655	1.734445
0.584696	1.734246
0.588765	1.734048
0.592862	1.733853
0.596987	1.73366
0.601141	1.733469
0.605324	1.73328
0.609537	1.733094
0.613778	1.732909
0.618049	1.732726
0.62235	1.732545
0.626681	1.732366
0.631042	1.732189
0.635433	1.732014
0.639855	1.731841
0.644307	1.731669
0.648791	1.731499
0.653305	1.731331
0.657852	1.731164
0.662429	1.730999
0.667039	1.730836
0.671681	1.730674
0.676355	1.730513
0.681061	1.730354
0.685801	1.730197
0.690573	1.730041
0.695378	1.729886
0.700217	1.729733
0.70509	1.72958
0.709996	1.72943
0.714937	1.72928
0.719912	1.729132
0.724921	1.728985
0.729966	1.728839
0.735045	1.728694
0.74016	1.72855
0.745311	1.728408
0.750497	1.728266
0.75572	1.728125
0.760979	1.727986
0.766274	1.727847
0.771606	1.727709
0.776976	1.727573
0.782382	1.727437
0.787827	1.727302
0.793309	1.727167
0.798829	1.727034
0.804388	1.726901
0.809985	1.726769
0.815622	1.726638
0.821298	1.726507
0.827013	1.726377
0.832768	1.726248
0.838562	1.726119
0.844398	1.725991
0.850274	1.725864
0.85619	1.725737
0.862148	1.72561
0.868148	1.725484
0.874189	1.725358
0.880272	1.725233
0.886398	1.725108
0.892566	1.724984
0.898777	1.72486
0.905031	1.724736
0.911329	1.724613
0.917671	1.72449
0.924056	1.724367
0.930486	1.724244
0.936961	1.724121
0.943481	1.723999
0.950047	1.723877
0.956658	1.723755
0.963315	1.723633
0.970018	1.723511
0.976768	1.723389
0.983565	1.723268
0.99041	1.723146
0.997302	1.723024
1.00424	1.722902
1.01123	1.72278
1.01827	1.722658
1.02535	1.722536
1.03249	1.722414
1.03967	1.722291
1.04691	1.722169
1.05419	1.722046
1.06153	1.721923
1.06891	1.721799
1.07635	1.721676
1.08384	1.721552
1.09138	1.721427
1.09898	1.721303
1.10663	1.721178
1.11433	1.721052
1.12208	1.720926
1.12989	1.7208
1.13775	1.720673
1.14567	1.720545
1.15364	1.720417
1.16167	1.720289
1.16975	1.72016
1.17789	1.72003
1.18609	1.719899
1.19434	1.719768
1.20265	1.719636
1.21102	1.719504
1.21945	1.71937
1.22794	1.719236
1.23648	1.719101
1.24509	1.718966
1.25375	1.718829
1.26247	1.718691
1.27126	1.718553
1.28011	1.718413
1.28901	1.718273
1.29798	1.718131
1.30701	1.717989
1.31611	1.717845
1.32527	1.7177
1.33449	1.717554
1.34378	1.717407
1.35313	1.717259
1.36254	1.71711
1.37203	1.716959
1.38157	1.716807
1.39119	1.716654
1.40087	1.716499
1.41062	1.716343
1.42043	1.716185
1.43032	1.716026
1.44027	1.715866
1.45029	1.715704
1.46038	1.71554
1.47055	1.715375
1.48078	1.715208
1.49108	1.71504
1.50146	1.714869
1.51191	1.714697
1.52243	1.714524
1.53302	1.714348
1.54369	1.714171
1.55443	1.713991
1.56525	1.71381
1.57614	1.713627
1.58711	1.713442
1.59815	1.713254
1.60927	1.713065
1.62047	1.712874
1.63175	1.71268
1.6431	1.712484
1.65454	1.712286
1.66605	1.712085
1.67764	1.711882
1.68932	1.711677
1.70107	1.711469
1.71291	1.711259
1.72483	1.711046
1.73683	1.710831
1.74892	1.710613
1.76109	1.710392
1.77334	1.710169
1.78568	1.709943
1.79811	1.709714
1.81062	1.709482
1.82322	1.709247
1.83591	1.709009
1.84868	1.708768
1.86155	1.708524
1.8745	1.708277
1.88755	1.708026
1.90068	1.707772
1.91391	1.707515
1.92723	1.707255
1.94064	1.706991
1.95414	1.706723
1.96774	1.706452
1.98143	1.706177
1.99522	1.705899
2.0091	1.705616
2.02308	1.70533
2.03716	1.70504
2.05134	1.704746
2.06561	1.704447
2.07999	1.704145
2.09446	1.703838
2.10904	1.703527
2.12371	1.703212
2.13849	1.702892
2.15337	1.702568
2.16836	1.702239
2.18344	1.701906
2.19864	1.701567
2.21394	1.701224
2.22934	1.700876
2.24486	1.700522
2.26048	1.700164
2.27621	1.6998
2.29205	1.699431
2.308	1.699057
2.32406	1.698677
2.34023	1.698291
2.35651	1.6979
2.37291	1.697503
2.38943	1.6971
2.40605	1.696691
2.4228	1.696275
2.43965	1.695854
2.45663	1.695426
2.47373	1.694991
2.49094	1.69455
2.50827	1.694103
2.52573	1.693648
2.5433	1.693187
2.561	1.692718
2.57882	1.692242
2.59677	1.691759
2.61484	1.691268
2.63303	1.690769
2.65136	1.690263
2.66981	1.689749
2.68838	1.689226
2.70709	1.688696
2.72593	1.688157
2.7449	1.687609
2.764	1.687053
2.78323	1.686488
2.8026	1.685914
2.8221	1.68533
2.84174	1.684737
2.86152	1.684135
2.88143	1.683522
2.90148	1.6829
2.92167	1.682268
2.942	1.681625
2.96247	1.680972
2.98309	1.680308
3.00385	1.679633
3.02475	1.678946
3.0458	1.678249
3.06699	1.677539
3.08833	1.676818
3.10982	1.676084
3.13146	1.675339
3.15326	1.67458
3.1752	1.673809
3.19729	1.673025
3.21954	1.672227
3.24195	1.671415
3.26451	1.67059
3.28722	1.66975
3.3101	1.668896
3.33313	1.668026
3.35632	1.667142
3.37968	1.666242
3.4032	1.665326
3.42688	1.664394
3.45073	1.663446
3.47474	1.66248
3.49892	1.661498
3.52327	1.660497
3.54778	1.659479
3.57247	1.658442
3.59733	1.657387
3.62236	1.656312
3.64757	1.655217
3.67295	1.654103
3.69851	1.652967
3.72425	1.651811
3.75016	1.650633
3.77626	1.649433
3.80254	1.648211
3.829	1.646965
3.85564	1.645696
3.88247	1.644403
3.90949	1.643084
3.93669	1.641741
3.96409	1.640371
3.99167	1.638975
4.01945	1.637552
4.04742	1.6361
4.07558	1.63462
4.10395	1.633111
4.1325	1.631571
4.16126	1.630001
4.19022	1.628399
4.21938	1.626764
4.24874	1.625097
4.2783	1.623394
4.30807	1.621657
4.33805	1.619884
4.36824	1.618074
4.39864	1.616226
4.42924	1.614339
4.46007	1.612411
4.4911	1.610443
4.52235	1.608432
4.55382	1.606378
4.58551	1.604278
4.61742	1.602133
4.64955	1.59994
4.68191	1.597699
4.71449	1.595407
4.74729	1.593064
4.78033	1.590667
4.81359	1.588215
4.84709	1.585707
4.88082	1.583141
4.91478	1.580514
4.94898	1.577825
4.98342	1.575073
5.0181	1.572254
5.05302	1.569367
5.08818	1.56641
5.12359	1.56338
5.15924	1.560275
5.19514	1.557092
5.23129	1.553828
5.2677	1.550482
5.30435	1.547049
5.34126	1.543527
5.37843	1.539913
5.41586	1.536203
5.45355	1.532394
5.49149	1.528482
5.52971	1.524462
5.56819	1.520332
5.60693	1.516087
5.64595	1.511722
5.68524	1.507233
5.7248	1.502614
5.76464	1.49786
5.80475	1.492966
5.84515	1.487925
5.88582	1.482732
5.92678	1.47738
5.96802	1.471862
6.00955	1.46617
6.05137	1.460296
6.09348	1.454232
6.13588	1.44797
6.17858	1.441499
6.22157	1.43481
6.26487	1.427892
6.30846	1.420733
6.35236	1.41332
6.39656	1.405642
6.44107	1.397682
6.4859	1.389427
6.53103	1.380859
6.57648	1.371962
6.62224	1.362715
6.66832	1.353098
6.71472	1.343089
6.76145	1.332663
6.8085	1.321794
6.85588	1.310452
6.90359	1.298607
6.95163	1.286223
7	1.273263

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

BeO (Beryllium monoxide): all datasets

About BeO (Beryllium monoxide)

Beryllium oxide (BeO) is a ceramic material that is prized for its outstanding thermal conductivity and electrical resistivity, making it a valuable material for high-performance applications in the electronics and aerospace industries. In the context of optics, BeO is less commonly used but its high thermal conductivity, low thermal expansion, and excellent dielectric properties make it a candidate for specialized optical applications that require thermal stability. The material is typically produced using methods like hot pressing, and it can be sintered into various shapes and sizes. It is worth noting that BeO is toxic and requires special handling procedures to ensure safety during fabrication and use. Though its optical applications are limited compared to other more conventional optical materials, BeO's unique thermal and electrical properties position it as an intriguing material for research and specialized applications where its unique capabilities can be leveraged. Mineral: Bromellite

More about BeO (Beryllium monoxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/BeO/nk/Edwards-e.yml
ID: ds_f84e0f13795e
API: /v1/datasets/ds_f84e0f13795e

Plot