Optical constants

Refractive index of Bi₁₂SiO₂₀ (Bismuth silicate, BSO)

Gospodinov et al. 1988: n 0.48–0.70 µm

Data: formula 1
Range: 0.48–0.7 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.55405
Extinction coefficient k: 0

Permittivity ε₁: 6.52319
Permittivity ε₂: 0

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

Abbe number V_d: 11.526
Chromatic dispersion dn/dλ: -0.652456 µm⁻¹

Group index n_g: 2.93744
Group velocity dispersion: 1548.58 fs²/mm

Dispersion parameter D: -8448.31 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

# Bi12SiO20 (Bismuth silicate, BSO): Gospodinov et al. 1988: n 0.48–0.70 µm
bi12sio20 = ls.fetch_refractiveindex("main", "Bi12SiO20", "Gospodinov", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(bi12sio20.range_nm)  # (480, 700) nm
eps = bi12sio20.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_cf814293318c/lightsmith"
bi12sio20 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(bi12sio20.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (bi12sio20/gospodinov-1988).

# ... load bi12sio20 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=bi12sio20)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=480, stop_nm=700, 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_cf814293318c/lightsmith?model=drude_lorentz"
bi12sio20_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 = 1.72777 + \frac{3.01705 λ^{2}}{λ^{2} - {0.2661}^{2}}

Valid from 0.48 to 0.7 µm.

Coefficients as stored

C_i	Value
C1	1.72777
C2	3.01705
C3	0.2661

Comments and conditions

Room temperature

References

M. Gospodinov et al.. Physical properties of cubic Bi₁₂SiO₂₀, Bulgarian J. Phys. 15, 140-143 (1988). Cited in Handbook of Optics, 3rd edition, Vol. 4. McGraw-Hill 2009

Cite

M. Gospodinov et al.. Physical properties of cubic Bi12SiO20, Bulgarian J. Phys. 15, 140-143 (1988). Cited in Handbook of Optics, 3rd edition, Vol. 4. McGraw-Hill 2009; 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

Bi12SiO20 (Bismuth silicate, BSO), Gospodinov et al. 1988: n 0.48–0.70 µm: n and k versus wavelength
λ (µm)	n
0.48	2.661477
0.480454	2.660792
0.480909	2.660109
0.481364	2.659428
0.481819	2.658749
0.482275	2.658072
0.482731	2.657398
0.483188	2.656726
0.483645	2.656056
0.484102	2.655389
0.48456	2.654723
0.485019	2.65406
0.485478	2.653399
0.485937	2.65274
0.486397	2.652083
0.486857	2.651428
0.487317	2.650776
0.487778	2.650125
0.48824	2.649477
0.488702	2.648831
0.489164	2.648186
0.489627	2.647544
0.49009	2.646904
0.490554	2.646266
0.491018	2.645631
0.491482	2.644997
0.491947	2.644365
0.492413	2.643735
0.492879	2.643107
0.493345	2.642482
0.493812	2.641858
0.494279	2.641236
0.494746	2.640616
0.495214	2.639999
0.495683	2.639383
0.496152	2.638769
0.496621	2.638157
0.497091	2.637547
0.497561	2.636939
0.498032	2.636333
0.498503	2.635729
0.498975	2.635127
0.499447	2.634526
0.499919	2.633928
0.500392	2.633331
0.500866	2.632737
0.50134	2.632144
0.501814	2.631553
0.502289	2.630964
0.502764	2.630377
0.503239	2.629791
0.503716	2.629208
0.504192	2.628626
0.504669	2.628046
0.505146	2.627468
0.505624	2.626892
0.506103	2.626317
0.506582	2.625745
0.507061	2.625174
0.50754	2.624604
0.508021	2.624037
0.508501	2.623471
0.508982	2.622908
0.509464	2.622345
0.509946	2.621785
0.510428	2.621226
0.510911	2.620669
0.511394	2.620114
0.511878	2.619561
0.512363	2.619009
0.512847	2.618459
0.513332	2.61791
0.513818	2.617364
0.514304	2.616818
0.514791	2.616275
0.515278	2.615733
0.515765	2.615193
0.516253	2.614655
0.516742	2.614118
0.51723	2.613583
0.51772	2.613049
0.51821	2.612517
0.5187	2.611987
0.519191	2.611458
0.519682	2.610931
0.520173	2.610406
0.520665	2.609882
0.521158	2.60936
0.521651	2.608839
0.522145	2.60832
0.522639	2.607802
0.523133	2.607286
0.523628	2.606772
0.524123	2.606259
0.524619	2.605747
0.525115	2.605237
0.525612	2.604729
0.526109	2.604222
0.526607	2.603717
0.527105	2.603213
0.527604	2.602711
0.528103	2.60221
0.528603	2.601711
0.529103	2.601213
0.529603	2.600717
0.530104	2.600222
0.530606	2.599729
0.531108	2.599237
0.53161	2.598746
0.532113	2.598257
0.532617	2.59777
0.533121	2.597284
0.533625	2.596799
0.53413	2.596316
0.534635	2.595834
0.535141	2.595353
0.535647	2.594874
0.536154	2.594397
0.536661	2.593921
0.537169	2.593446
0.537677	2.592973
0.538186	2.592501
0.538695	2.59203
0.539204	2.591561
0.539715	2.591093
0.540225	2.590626
0.540736	2.590161
0.541248	2.589697
0.54176	2.589235
0.542272	2.588774
0.542785	2.588314
0.543299	2.587856
0.543813	2.587399
0.544327	2.586943
0.544842	2.586489
0.545358	2.586036
0.545874	2.585584
0.54639	2.585133
0.546907	2.584684
0.547424	2.584236
0.547942	2.58379
0.548461	2.583344
0.54898	2.5829
0.549499	2.582458
0.550019	2.582016
0.550539	2.581576
0.55106	2.581137
0.551581	2.580699
0.552103	2.580263
0.552625	2.579828
0.553148	2.579394
0.553672	2.578961
0.554195	2.57853
0.55472	2.578099
0.555244	2.57767
0.55577	2.577242
0.556296	2.576816
0.556822	2.576391
0.557349	2.575966
0.557876	2.575544
0.558404	2.575122
0.558932	2.574701
0.559461	2.574282
0.55999	2.573864
0.56052	2.573447
0.56105	2.573031
0.561581	2.572616
0.562112	2.572203
0.562644	2.571791
0.563176	2.571379
0.563709	2.570969
0.564242	2.570561
0.564776	2.570153
0.56531	2.569746
0.565845	2.569341
0.56638	2.568937
0.566916	2.568534
0.567453	2.568132
0.567989	2.567731
0.568527	2.567331
0.569065	2.566932
0.569603	2.566535
0.570142	2.566139
0.570681	2.565743
0.571221	2.565349
0.571762	2.564956
0.572302	2.564564
0.572844	2.564173
0.573386	2.563783
0.573928	2.563394
0.574471	2.563007
0.575015	2.56262
0.575559	2.562235
0.576103	2.56185
0.576648	2.561467
0.577194	2.561084
0.57774	2.560703
0.578286	2.560323
0.578833	2.559944
0.579381	2.559565
0.579929	2.559188
0.580478	2.558812
0.581027	2.558437
0.581577	2.558063
0.582127	2.55769
0.582678	2.557318
0.583229	2.556947
0.583781	2.556577
0.584333	2.556209
0.584886	2.555841
0.585439	2.555474
0.585993	2.555108
0.586547	2.554743
0.587102	2.554379
0.587658	2.554016
0.588214	2.553654
0.58877	2.553293
0.589327	2.552933
0.589885	2.552574
0.590443	2.552216
0.591001	2.551859
0.59156	2.551503
0.59212	2.551148
0.59268	2.550794
0.593241	2.550441
0.593802	2.550088
0.594364	2.549737
0.594926	2.549387
0.595489	2.549037
0.596052	2.548689
0.596616	2.548341
0.597181	2.547995
0.597746	2.547649
0.598311	2.547304
0.598877	2.546961
0.599444	2.546618
0.600011	2.546276
0.600578	2.545935
0.601147	2.545595
0.601715	2.545255
0.602285	2.544917
0.602854	2.54458
0.603425	2.544243
0.603996	2.543908
0.604567	2.543573
0.605139	2.543239
0.605711	2.542906
0.606284	2.542574
0.606858	2.542243
0.607432	2.541913
0.608007	2.541583
0.608582	2.541255
0.609158	2.540927
0.609734	2.5406
0.610311	2.540274
0.610888	2.539949
0.611466	2.539625
0.612045	2.539302
0.612624	2.538979
0.613203	2.538658
0.613783	2.538337
0.614364	2.538017
0.614945	2.537698
0.615527	2.53738
0.616109	2.537062
0.616692	2.536746
0.617276	2.53643
0.61786	2.536115
0.618444	2.535801
0.619029	2.535488
0.619615	2.535175
0.620201	2.534863
0.620788	2.534553
0.621375	2.534243
0.621963	2.533933
0.622551	2.533625
0.62314	2.533317
0.62373	2.533011
0.62432	2.532705
0.62491	2.5324
0.625502	2.532095
0.626093	2.531792
0.626686	2.531489
0.627279	2.531187
0.627872	2.530886
0.628466	2.530585
0.629061	2.530285
0.629656	2.529987
0.630251	2.529688
0.630848	2.529391
0.631444	2.529095
0.632042	2.528799
0.63264	2.528504
0.633238	2.528209
0.633837	2.527916
0.634437	2.527623
0.635037	2.527331
0.635638	2.52704
0.636239	2.526749
0.636841	2.52646
0.637444	2.526171
0.638047	2.525882
0.63865	2.525595
0.639255	2.525308
0.639859	2.525022
0.640465	2.524737
0.641071	2.524452
0.641677	2.524168
0.642284	2.523885
0.642892	2.523603
0.6435	2.523321
0.644109	2.52304
0.644718	2.52276
0.645328	2.52248
0.645939	2.522201
0.64655	2.521923
0.647161	2.521646
0.647774	2.521369
0.648386	2.521093
0.649	2.520818
0.649614	2.520543
0.650228	2.52027
0.650843	2.519996
0.651459	2.519724
0.652076	2.519452
0.652692	2.519181
0.65331	2.518911
0.653928	2.518641
0.654547	2.518372
0.655166	2.518103
0.655786	2.517836
0.656406	2.517569
0.657027	2.517302
0.657649	2.517037
0.658271	2.516772
0.658894	2.516507
0.659517	2.516244
0.660141	2.515981
0.660765	2.515718
0.66139	2.515457
0.662016	2.515196
0.662642	2.514935
0.663269	2.514676
0.663897	2.514416
0.664525	2.514158
0.665154	2.5139
0.665783	2.513643
0.666413	2.513387
0.667043	2.513131
0.667674	2.512876
0.668306	2.512621
0.668938	2.512367
0.669571	2.512114
0.670204	2.511861
0.670838	2.511609
0.671473	2.511358
0.672108	2.511107
0.672744	2.510857
0.673381	2.510607
0.674018	2.510359
0.674655	2.51011
0.675294	2.509863
0.675932	2.509616
0.676572	2.509369
0.677212	2.509123
0.677853	2.508878
0.678494	2.508633
0.679136	2.508389
0.679778	2.508146
0.680421	2.507903
0.681065	2.507661
0.681709	2.50742
0.682354	2.507179
0.683	2.506938
0.683646	2.506698
0.684293	2.506459
0.68494	2.506221
0.685588	2.505982
0.686237	2.505745
0.686886	2.505508
0.687536	2.505272
0.688186	2.505036
0.688837	2.504801
0.689489	2.504567
0.690141	2.504333
0.690794	2.504099
0.691448	2.503866
0.692102	2.503634
0.692757	2.503402
0.693412	2.503171
0.694068	2.502941
0.694725	2.502711
0.695382	2.502481
0.69604	2.502253
0.696698	2.502024
0.697357	2.501797
0.698017	2.501569
0.698677	2.501343
0.699338	2.501117
0.7	2.500891

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: —

Bi₁₂SiO₂₀ (Bismuth silicate, BSO): all datasets

Gospodinov et al. 1988: n 0.48–0.70 µm n 0.48–0.7 µm default

About Bi12SiO20 (Bismuth silicate, BSO)

Bi₁₂SiO₂₀, commonly known as bismuth silicon oxide (BSO), is a photorefractive material with remarkable electro-optic and acousto-optic properties. It is especially noted for its high photorefractive sensitivity and strong two-beam coupling, making it a valuable material for optical data storage, holography, and real-time image processing. The crystal structure of BSO contributes to its photorefractive effect, which allows for the modulation of refractive index in response to incident light. Its applications often include beam steering, optical phase conjugation, and adaptive optics. BSO can be grown using techniques like the Czochralski method, and its properties can be tailored by doping with various elements. The material is relatively robust, with a good resistance to optical damage and a high melting point, which makes it suitable for demanding optical applications. However, the toxicity of bismuth makes it important to handle this material with care during fabrication and utilization. Overall, BSO's unique photorefractive capabilities make it an intriguing material for academic research and practical applications in optoelectronics and photonics.

BSO, BGO, BTO - Del Mar Photonics

More about Bi12SiO20 (Bismuth silicate, BSO) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Bi12SiO20/nk/Gospodinov.yml
ID: ds_cf814293318c
API: /v1/datasets/ds_cf814293318c

Plot