Optical constants

Refractive index of BeAl₆O₁₀ (Beryllium hexaaluminate, BHA)

Pestryakov et al. 1997: n(β) 0.43–1.1 µm

Data: formula 3
Range: 0.43–1.1 µm
Optical axis: beta
Licence: CC0-1.0

Biaxial crystal, axes: beta

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.74641
Extinction coefficient k: 0

Permittivity ε₁: 3.04996
Permittivity ε₂: 0

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

Abbe number V_d: 69.043
Chromatic dispersion dn/dλ: -0.0565496 µm⁻¹

Group index n_g: 1.77964
Group velocity dispersion: 91.7566 fs²/mm

Dispersion parameter D: -500.581 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

# BeAl6O10 (Beryllium hexaaluminate, BHA): Pestryakov et al. 1997: n(β) 0.43–1.1 µm
beal6o10 = ls.fetch_refractiveindex("main", "BeAl6O10", "Pestryakov-β", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(beal6o10.range_nm)  # (430, 1100) nm
eps = beal6o10.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_8196561b1c9a/lightsmith"
beal6o10 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(beal6o10.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (beal6o10/pestryakov-1997-2).

# ... load beal6o10 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=beal6o10)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=430, 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"]).

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

Polynomial (formula 3), λ in µm

n^{2} = 3.001424 + 0.01839757 λ^{- 2.0} - 0.01374799 λ^{2.0}

Valid from 0.43 to 1.1 µm.

Coefficients as stored

C_i	Value
C1	3.001424
C2	0.01839757
C3	-2.0
C4	-0.01374799
C5	2.0

Comments and conditions

n_β; Room temperature.

Conditions

direction: beta

References

E. V. Pestryakov, V. V. Petrov, I. I. Zubrinov, V. I. Semenov, V. I. Trunov, A. V. Kirpichnikov, A. I. Alimpiev. Physical properties of BeAl₆O₁₀ single crystals. J. Appl. Phys., 82, 3661–3666 (1997)

doi:10.1063/1.365728 Physical properties of BeAl6O10 single crystals, Journal of Applied Physics (1997)

Cite

E. V. Pestryakov et al.. Physical properties of BeAl6O10 single crystals. Journal of Applied Physics, 82, 3661-3666 (1997), doi:10.1063/1.365728; 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

BeAl6O10 (Beryllium hexaaluminate, BHA), Pestryakov et al. 1997: n(β) 0.43–1.1 µm: n and k versus wavelength
λ (µm)	n
0.43	1.760222
0.431013	1.760086
0.432029	1.75995
0.433048	1.759815
0.434068	1.759681
0.435091	1.759547
0.436117	1.759414
0.437145	1.759281
0.438175	1.759149
0.439208	1.759018
0.440243	1.758887
0.44128	1.758757
0.44232	1.758627
0.443363	1.758498
0.444408	1.758369
0.445455	1.758241
0.446505	1.758114
0.447557	1.757987
0.448612	1.75786
0.449669	1.757734
0.450729	1.757609
0.451792	1.757484
0.452856	1.75736
0.453924	1.757236
0.454994	1.757113
0.456066	1.756991
0.457141	1.756869
0.458218	1.756747
0.459298	1.756626
0.460381	1.756505
0.461466	1.756385
0.462553	1.756266
0.463644	1.756147
0.464736	1.756029
0.465832	1.755911
0.466929	1.755793
0.46803	1.755676
0.469133	1.75556
0.470239	1.755444
0.471347	1.755329
0.472458	1.755214
0.473571	1.755099
0.474688	1.754985
0.475806	1.754872
0.476928	1.754759
0.478052	1.754647
0.479178	1.754535
0.480308	1.754423
0.48144	1.754312
0.482575	1.754202
0.483712	1.754092
0.484852	1.753982
0.485995	1.753873
0.48714	1.753764
0.488288	1.753656
0.489439	1.753548
0.490593	1.753441
0.491749	1.753334
0.492908	1.753228
0.49407	1.753122
0.495234	1.753016
0.496401	1.752911
0.497571	1.752807
0.498744	1.752702
0.499919	1.752599
0.501098	1.752495
0.502279	1.752393
0.503462	1.75229
0.504649	1.752188
0.505838	1.752087
0.507031	1.751986
0.508226	1.751885
0.509423	1.751785
0.510624	1.751685
0.511827	1.751585
0.513034	1.751486
0.514243	1.751388
0.515455	1.751289
0.51667	1.751192
0.517887	1.751094
0.519108	1.750997
0.520332	1.750901
0.521558	1.750805
0.522787	1.750709
0.524019	1.750613
0.525254	1.750518
0.526492	1.750424
0.527733	1.75033
0.528977	1.750236
0.530224	1.750143
0.531473	1.750049
0.532726	1.749957
0.533981	1.749865
0.53524	1.749773
0.536501	1.749681
0.537766	1.74959
0.539033	1.749499
0.540304	1.749409
0.541577	1.749319
0.542854	1.749229
0.544133	1.74914
0.545415	1.749051
0.546701	1.748962
0.547989	1.748874
0.549281	1.748786
0.550576	1.748699
0.551873	1.748612
0.553174	1.748525
0.554478	1.748439
0.555784	1.748352
0.557094	1.748267
0.558407	1.748181
0.559723	1.748096
0.561043	1.748012
0.562365	1.747927
0.56369	1.747843
0.565019	1.747759
0.566351	1.747676
0.567685	1.747593
0.569023	1.74751
0.570364	1.747428
0.571709	1.747346
0.573056	1.747264
0.574407	1.747183
0.575761	1.747102
0.577118	1.747021
0.578478	1.746941
0.579841	1.74686
0.581208	1.746781
0.582578	1.746701
0.583951	1.746622
0.585327	1.746543
0.586706	1.746464
0.588089	1.746386
0.589475	1.746308
0.590865	1.746231
0.592257	1.746153
0.593653	1.746076
0.595052	1.745999
0.596455	1.745923
0.59786	1.745847
0.599269	1.745771
0.600682	1.745695
0.602098	1.74562
0.603517	1.745545
0.604939	1.74547
0.606365	1.745396
0.607794	1.745322
0.609226	1.745248
0.610662	1.745174
0.612101	1.745101
0.613544	1.745028
0.61499	1.744955
0.61644	1.744882
0.617892	1.74481
0.619349	1.744738
0.620808	1.744667
0.622272	1.744595
0.623738	1.744524
0.625208	1.744453
0.626682	1.744382
0.628159	1.744312
0.629639	1.744242
0.631123	1.744172
0.632611	1.744102
0.634102	1.744033
0.635596	1.743964
0.637094	1.743895
0.638596	1.743827
0.640101	1.743758
0.641609	1.74369
0.643122	1.743622
0.644637	1.743555
0.646157	1.743487
0.64768	1.74342
0.649206	1.743353
0.650736	1.743287
0.65227	1.74322
0.653807	1.743154
0.655348	1.743088
0.656893	1.743022
0.658441	1.742957
0.659993	1.742892
0.661548	1.742827
0.663107	1.742762
0.66467	1.742697
0.666237	1.742633
0.667807	1.742569
0.669381	1.742505
0.670959	1.742441
0.67254	1.742378
0.674125	1.742315
0.675714	1.742252
0.677306	1.742189
0.678903	1.742126
0.680503	1.742064
0.682107	1.742002
0.683714	1.74194
0.685326	1.741878
0.686941	1.741816
0.68856	1.741755
0.690183	1.741694
0.691809	1.741633
0.69344	1.741572
0.695074	1.741511
0.696712	1.741451
0.698355	1.741391
0.7	1.741331
0.70165	1.741271
0.703304	1.741212
0.704962	1.741152
0.706623	1.741093
0.708288	1.741034
0.709958	1.740975
0.711631	1.740917
0.713308	1.740858
0.714989	1.7408
0.716675	1.740742
0.718364	1.740684
0.720057	1.740626
0.721754	1.740569
0.723455	1.740511
0.72516	1.740454
0.726869	1.740397
0.728582	1.74034
0.730299	1.740284
0.732021	1.740227
0.733746	1.740171
0.735475	1.740115
0.737209	1.740059
0.738946	1.740003
0.740688	1.739947
0.742433	1.739892
0.744183	1.739836
0.745937	1.739781
0.747695	1.739726
0.749457	1.739671
0.751224	1.739617
0.752994	1.739562
0.754769	1.739508
0.756548	1.739453
0.758331	1.739399
0.760118	1.739345
0.76191	1.739292
0.763705	1.739238
0.765505	1.739185
0.76731	1.739131
0.769118	1.739078
0.770931	1.739025
0.772748	1.738972
0.774569	1.738919
0.776394	1.738867
0.778224	1.738814
0.780059	1.738762
0.781897	1.73871
0.78374	1.738658
0.785587	1.738606
0.787438	1.738554
0.789294	1.738502
0.791155	1.738451
0.793019	1.738399
0.794888	1.738348
0.796762	1.738297
0.79864	1.738246
0.800522	1.738195
0.802409	1.738144
0.8043	1.738094
0.806195	1.738043
0.808095	1.737993
0.81	1.737943
0.811909	1.737893
0.813823	1.737843
0.815741	1.737793
0.817663	1.737743
0.81959	1.737693
0.821522	1.737644
0.823458	1.737594
0.825399	1.737545
0.827344	1.737496
0.829294	1.737446
0.831249	1.737397
0.833208	1.737349
0.835172	1.7373
0.83714	1.737251
0.839113	1.737203
0.841091	1.737154
0.843073	1.737106
0.84506	1.737057
0.847052	1.737009
0.849048	1.736961
0.851049	1.736913
0.853055	1.736865
0.855066	1.736818
0.857081	1.73677
0.859101	1.736722
0.861126	1.736675
0.863155	1.736627
0.86519	1.73658
0.867229	1.736533
0.869273	1.736486
0.871321	1.736439
0.873375	1.736392
0.875433	1.736345
0.877497	1.736298
0.879565	1.736251
0.881638	1.736205
0.883716	1.736158
0.885799	1.736112
0.887886	1.736065
0.889979	1.736019
0.892076	1.735973
0.894179	1.735927
0.896286	1.735881
0.898399	1.735835
0.900516	1.735789
0.902639	1.735743
0.904766	1.735697
0.906898	1.735651
0.909036	1.735606
0.911178	1.73556
0.913326	1.735515
0.915478	1.735469
0.917636	1.735424
0.919799	1.735379
0.921967	1.735333
0.92414	1.735288
0.926318	1.735243
0.928501	1.735198
0.930689	1.735153
0.932883	1.735108
0.935081	1.735063
0.937285	1.735018
0.939494	1.734973
0.941709	1.734929
0.943928	1.734884
0.946153	1.734839
0.948383	1.734795
0.950618	1.73475
0.952858	1.734706
0.955104	1.734662
0.957355	1.734617
0.959611	1.734573
0.961873	1.734529
0.96414	1.734484
0.966412	1.73444
0.96869	1.734396
0.970973	1.734352
0.973262	1.734308
0.975556	1.734264
0.977855	1.73422
0.980159	1.734176
0.98247	1.734132
0.984785	1.734088
0.987106	1.734044
0.989433	1.734
0.991765	1.733957
0.994102	1.733913
0.996445	1.733869
0.998793	1.733826
1.00115	1.733782
1.00351	1.733738
1.00587	1.733695
1.00824	1.733651
1.01062	1.733608
1.013	1.733564
1.01539	1.733521
1.01778	1.733477
1.02018	1.733434
1.02258	1.73339
1.02499	1.733347
1.02741	1.733303
1.02983	1.73326
1.03226	1.733217
1.03469	1.733173
1.03713	1.73313
1.03958	1.733087
1.04203	1.733043
1.04448	1.733
1.04694	1.732957
1.04941	1.732914
1.05188	1.73287
1.05436	1.732827
1.05685	1.732784
1.05934	1.732741
1.06184	1.732697
1.06434	1.732654
1.06685	1.732611
1.06936	1.732568
1.07188	1.732525
1.07441	1.732481
1.07694	1.732438
1.07948	1.732395
1.08202	1.732352
1.08457	1.732308
1.08713	1.732265
1.08969	1.732222
1.09226	1.732179
1.09483	1.732135
1.09741	1.732092
1.1	1.732049

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: —

BeAl₆O₁₀ (Beryllium hexaaluminate, BHA): all datasets

About BeAl6O10 (Beryllium hexaaluminate, BHA)

BeAl₆O₁₀, known as beryllium hexaaluminate (BHA), is a complex oxide crystal that has attracted interest for its potential applications in a variety of high-temperature and harsh-environment conditions. Although not traditionally used in mainstream optics, its properties such as high thermal stability, low thermal expansion coefficient, and resistance to chemical corrosion make it a candidate for specialized optical applications where these attributes are crucial. The material is often synthesized using methods such as the sol-gel process or high-temperature sintering. In the realm of photonics and optics, its stability under high thermal loads could make it an ideal candidate for optical components in high-temperature environments, such as aerospace or industrial applications. While research into the optical properties of BHA is still in relatively early stages, its unique combination of thermal and chemical robustness suggests potential for future exploration and application in demanding settings.

More about BeAl6O10 (Beryllium hexaaluminate, BHA) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/BeAl6O10/nk/Pestryakov-beta.yml
ID: ds_8196561b1c9a
API: /v1/datasets/ds_8196561b1c9a

Plot