Optical constants

Refractive index of B (Boron)

Fernández-Perea et al. 2007: n,k 0.00138–0.181 µm

Data: tabulated nk
Range: 0.001378–0.181 µm
Points: 1699
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.961836
Extinction coefficient k: 0.00417651

Permittivity ε₁: 0.925111
Permittivity ε₂: 0.00803423

Absorption coefficient α: 33217.4 cm⁻¹
Penetration depth δ = λ/(2πk): 602.093 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -5.18263 µm⁻¹

Group index n_g: 1.04372
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 78.471 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

# B (Boron): Fernández-Perea et al. 2007: n,k 0.00138–0.181 µm
b = ls.fetch_refractiveindex("main", "B", "Fernandez-Perea", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(b.range_nm)  # (1.37805, 181) nm
eps = b.eps([15.8])  # 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_f7020f636650/lightsmith"
b = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(b.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (b/fernandez-perea-2007).

# ... load b as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=b)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=2, stop_nm=180, 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.

Comments and conditions

Density: 2.10 g/cm³. Film deposited at room temperature.

References

M. Fernández-Perea, J. I. Larruquert, J. A. Aznárez, J. A. Méndez, M. Vidal-Dasilva, E. Gullikson, A. Aquila, R. Soufli, J. L. G. Fierro. Optical constants of electron-beam evaporated boron films in the 6.8-900eV photon energy range. J. Opt. Soc. Am. A 24, 3800-3807 (2007) (Numerical data kindly provided by Juan Larruquert)

doi:10.1364/josaa.24.003800 Optical constants of electron-beam evaporated boron films in the 68-900 eV photon energy range, Journal of the Optical Society of America A (2007)

Cite

Mónica Fernández-Perea et al.. Optical constants of electron-beam evaporated boron films in the 68-900 eV photon energy range. Journal of the Optical Society of America A, 24, 3800 (2007), doi:10.1364/josaa.24.003800; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1699 rows as published

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

B (Boron), Fernández-Perea et al. 2007: n,k 0.00138–0.181 µm: n and k versus wavelength
λ (µm)	n	k
0.001378047	0.99948386	5.1e-05
0.001380047	0.99948272	5.1e-05
0.001382047	0.99948123	5.1e-05
0.001384047	0.99947996	5.2e-05
0.001386047	0.99947894	5.2e-05
0.001388047	0.99947758	5.2e-05
0.001390047	0.99947589	5.2e-05
0.001392047	0.99947449	5.3e-05
0.001394047	0.99947337	5.3e-05
0.001396047	0.99947194	5.3e-05
0.001398047	0.99947018	5.3e-05
0.001400047	0.99946873	5.4e-05
0.001402047	0.99946756	5.4e-05
0.001404047	0.99946608	5.4e-05
0.001406047	0.99946428	5.4e-05
0.001408048	0.99946278	5.5e-05
0.001410048	0.99946158	5.5e-05
0.001412048	0.99946005	5.5e-05
0.001414048	0.9994582	5.5e-05
0.001416048	0.99945664	5.6e-05
0.001418048	0.99945533	5.6e-05
0.001420048	0.99945357	5.6e-05
0.001422048	0.99945207	5.7e-05
0.001424048	0.99945085	5.7e-05
0.001426048	0.9994493	5.7e-05
0.001428048	0.99944742	5.7e-05
0.001430048	0.99944582	5.8e-05
0.001432048	0.99944446	5.8e-05
0.001434048	0.99944265	5.8e-05
0.001436049	0.99944108	5.9e-05
0.001438049	0.99943974	5.9e-05
0.001440049	0.99943794	5.9e-05
0.001442049	0.99943637	6e-05
0.001444049	0.99943503	6e-05
0.001446049	0.99943322	6e-05
0.001448049	0.99943165	6.1e-05
0.001450049	0.9994303	6.1e-05
0.001452049	0.99942849	6.1e-05
0.001454049	0.99942691	6.2e-05
0.001456049	0.99942556	6.2e-05
0.001458049	0.99942374	6.2e-05
0.001460049	0.99942215	6.3e-05
0.001462049	0.99942078	6.3e-05
0.001464049	0.99941894	6.3e-05
0.00146605	0.99941733	6.4e-05
0.00146805	0.99941594	6.4e-05
0.00147005	0.99941406	6.4e-05
0.00147205	0.99941237	6.5e-05
0.00147405	0.99941077	6.5e-05
0.00147605	0.99940926	6.6e-05
0.00147805	0.99940792	6.6e-05
0.00148005	0.99940611	6.6e-05
0.00148205	0.9994045	6.7e-05
0.00148405	0.99940311	6.7e-05
0.00148605	0.99940123	6.7e-05
0.00148805	0.99939953	6.8e-05
0.00149005	0.99939792	6.8e-05
0.00149205	0.99939639	6.9e-05
0.00149405	0.99939503	6.9e-05
0.001496051	0.99939317	6.9e-05
0.001498051	0.99939148	7e-05
0.001500051	0.99938987	7e-05
0.001502051	0.99938834	7.1e-05
0.001504051	0.99938699	7.1e-05
0.001506051	0.99938513	7.1e-05
0.001508051	0.99938343	7.2e-05
0.001510051	0.99938182	7.2e-05
0.001512051	0.9993803	7.3e-05
0.001514051	0.99937894	7.3e-05
0.001516051	0.99937707	7.3e-05
0.001518051	0.99937537	7.4e-05
0.001520051	0.99937375	7.4e-05
0.001522051	0.99937222	7.5e-05
0.001524051	0.99937084	7.5e-05
0.001526052	0.99936896	7.5e-05
0.001528052	0.99936724	7.6e-05
0.001530052	0.99936559	7.6e-05
0.001532052	0.99936397	7.7e-05
0.001534052	0.9993624	7.7e-05
0.001536052	0.99936089	7.8e-05
0.001538052	0.99935954	7.8e-05
0.001540052	0.99935768	7.8e-05
0.001542052	0.99935598	7.9e-05
0.001544052	0.99935436	7.9e-05
0.001546052	0.99935282	8e-05
0.001548052	0.99935144	8e-05
0.001550052	0.99934956	8e-05
0.001552052	0.99934783	8.1e-05
0.001554052	0.99934617	8.1e-05
0.001556053	0.99934454	8.2e-05
0.001558053	0.99934295	8.2e-05
0.001560053	0.99934143	8.3e-05
0.001562053	0.99934006	8.3e-05
0.001564053	0.99933818	8.3e-05
0.001566053	0.99933646	8.4e-05
0.001568053	0.9993348	8.4e-05
0.001570053	0.99933318	8.5e-05
0.001572053	0.9993316	8.5e-05
0.001574053	0.99933008	8.6e-05
0.001576053	0.99932872	8.6e-05
0.001578053	0.99932685	8.6e-05
0.001580053	0.99932514	8.7e-05
0.001582053	0.99932351	8.7e-05
0.001584054	0.99932195	8.8e-05
0.001586054	0.99932056	8.8e-05
0.001588054	0.99931866	8.8e-05
0.001590054	0.99931692	8.9e-05
0.001592054	0.99931525	8.9e-05
0.001594054	0.99931361	9e-05
0.001596054	0.99931201	9e-05
0.001598054	0.99931048	9.1e-05
0.001600054	0.99930911	9.1e-05
0.001602236	0.99930708	9.1e-05
0.001604418	0.99930519	9.2e-05
0.0016066	0.99930334	9.2e-05
0.001608782	0.99930152	9.3e-05
0.001610963	0.99929972	9.3e-05
0.001613145	0.99929792	9.4e-05
0.001615327	0.99929613	9.4e-05
0.001617509	0.99929436	9.5e-05
0.001619691	0.99929262	9.5e-05
0.001621873	0.99929092	9.6e-05
0.001624055	0.99928938	9.6e-05
0.001626237	0.99928731	9.6e-05
0.001628419	0.9992854	9.7e-05
0.001630601	0.99928354	9.7e-05
0.001632782	0.9992817	9.8e-05
0.001634964	0.99927988	9.8e-05
0.001637146	0.99927809	9.9e-05
0.001639328	0.99927631	9.9e-05
0.00164151	0.9992746	0.0001
0.001643692	0.99927303	0.0001
0.001645874	0.99927095	0.0001
0.001648056	0.99926902	0.000101
0.001650238	0.99926715	0.000101
0.001652419	0.99926531	0.000102
0.001654601	0.9992635	0.000102
0.001656783	0.99926176	0.000103
0.001658965	0.99926016	0.000103
0.001661147	0.99925805	0.000103
0.001663329	0.9992561	0.000104
0.001665511	0.9992542	0.000104
0.001667693	0.99925234	0.000105
0.001669875	0.9992505	0.000105
0.001672056	0.99924873	0.000106
0.001674238	0.99924711	0.000106
0.00167642	0.99924498	0.000106
0.001678602	0.999243	0.000107
0.001680784	0.99924107	0.000107
0.001682966	0.99923918	0.000108
0.001685148	0.99923733	0.000108
0.00168733	0.99923553	0.000109
0.001689512	0.99923388	0.000109
0.001691693	0.99923172	0.000109
0.001693875	0.99922971	0.00011
0.001696057	0.99922776	0.00011
0.001698239	0.99922585	0.000111
0.001700421	0.99922396	0.000111
0.001702603	0.99922213	0.000112
0.001704785	0.99922046	0.000112
0.001706967	0.99921826	0.000112
0.001709149	0.99921622	0.000113
0.001711331	0.99921423	0.000113
0.001713512	0.99921227	0.000114
0.001715694	0.99921033	0.000114
0.001717876	0.9992084	0.000115
0.001720058	0.9992065	0.000115
0.00172224	0.99920466	0.000116
0.001724422	0.99920296	0.000116
0.001726604	0.99920075	0.000116
0.001728786	0.99919868	0.000117
0.001730968	0.99919667	0.000117
0.001733149	0.9991947	0.000118
0.001735331	0.99919275	0.000118
0.001737513	0.99919086	0.000119
0.001739695	0.99918912	0.000119
0.001741877	0.99918685	0.000119
0.001744059	0.99918474	0.00012
0.001746241	0.99918267	0.00012
0.001748423	0.99918063	0.000121
0.001750605	0.9991786	0.000121
0.001752786	0.99917657	0.000122
0.001754968	0.99917455	0.000122
0.00175715	0.99917254	0.000123
0.001759332	0.99917054	0.000123
0.001761514	0.99916854	0.000124
0.001763696	0.99916656	0.000124
0.001765878	0.99916464	0.000125
0.00176806	0.99916285	0.000125
0.001770242	0.99916054	0.000125
0.001772423	0.99915838	0.000126
0.001774605	0.99915625	0.000126
0.001776787	0.99915415	0.000127
0.001778969	0.99915205	0.000127
0.001781151	0.99914996	0.000128
0.001783333	0.99914786	0.000128
0.001785515	0.99914577	0.000129
0.001787697	0.99914367	0.000129
0.001789879	0.99914156	0.00013
0.001792061	0.99913945	0.00013
0.001794242	0.99913733	0.000131
0.001796424	0.99913519	0.000131
0.001798606	0.99913304	0.000132
0.001800788	0.99913082	0.000132
0.00180297	0.99912846	0.000133
0.001805152	0.99912661	0.000134
0.001807334	0.99912462	0.000134
0.001809516	0.99912256	0.000135
0.001811698	0.99912048	0.000135
0.001813879	0.99911839	0.000136
0.001816061	0.99911627	0.000136
0.001818243	0.99911414	0.000137
0.001820425	0.99911198	0.000137
0.001822607	0.9991098	0.000138
0.001824789	0.99910756	0.000138
0.001826971	0.99910516	0.000139
0.001829153	0.99910328	0.00014
0.001831335	0.99910123	0.00014
0.001833516	0.99909912	0.000141
0.001835698	0.99909697	0.000141
0.00183788	0.99909478	0.000142
0.001840062	0.99909253	0.000142
0.001842244	0.9990901	0.000143
0.001844426	0.99908818	0.000144
0.001846608	0.99908609	0.000144
0.00184879	0.99908392	0.000145
0.001850972	0.99908165	0.000145
0.001853153	0.99907921	0.000146
0.001855335	0.99907725	0.000147
0.001857517	0.99907507	0.000147
0.001859699	0.99907268	0.000148
0.001861881	0.99907075	0.000149
0.001864063	0.9990686	0.000149
0.001866245	0.99906623	0.00015
0.001868427	0.99906434	0.000151
0.001870609	0.99906226	0.000151
0.001872791	0.99906009	0.000152
0.001874972	0.99905782	0.000152
0.001877154	0.99905536	0.000153
0.001879336	0.99905338	0.000154
0.001881518	0.99905117	0.000154
0.0018837	0.99904874	0.000155
0.001885882	0.99904675	0.000156
0.001888064	0.99904452	0.000156
0.001890246	0.99904202	0.000157
0.001892428	0.99903984	0.000158
0.001894609	0.99903799	0.000159
0.001896791	0.99903585	0.000159
0.001898973	0.99903347	0.00016
0.001901155	0.99903154	0.000161
0.001903337	0.99902937	0.000161
0.001905519	0.99902695	0.000162
0.001907701	0.99902498	0.000163
0.001909883	0.99902276	0.000163
0.001912065	0.99902026	0.000164
0.001914246	0.99901808	0.000165
0.001916428	0.99901622	0.000166
0.00191861	0.99901408	0.000166
0.001920792	0.99901168	0.000167
0.001922974	0.99900971	0.000168
0.001925156	0.99900749	0.000168
0.001927338	0.99900498	0.000169
0.00192952	0.99900279	0.00017
0.001931702	0.99900091	0.000171
0.001933883	0.99899872	0.000171
0.001936065	0.99899624	0.000172
0.001938247	0.99899406	0.000173
0.001940429	0.99899219	0.000174
0.001942611	0.99899002	0.000174
0.001944793	0.99898754	0.000175
0.001946975	0.99898537	0.000176
0.001949157	0.9989835	0.000177
0.001951339	0.99898133	0.000177
0.001953521	0.99897886	0.000178
0.001955702	0.99897669	0.000179
0.001957884	0.99897482	0.00018
0.001960066	0.99897265	0.00018
0.001962248	0.99897017	0.000181
0.00196443	0.998968	0.000182
0.001966612	0.99896614	0.000183
0.001968794	0.99896396	0.000183
0.001970976	0.99896149	0.000184
0.001973158	0.99895931	0.000185
0.001975339	0.99895744	0.000186
0.001977521	0.99895527	0.000186
0.001979703	0.99895278	0.000187
0.001981885	0.9989506	0.000188
0.001984067	0.99894873	0.000189
0.001986249	0.99894654	0.000189
0.001988431	0.99894405	0.00019
0.001990613	0.99894185	0.000191
0.001992795	0.99893996	0.000192
0.001994976	0.99893775	0.000192
0.001997158	0.99893523	0.000193
0.00199934	0.99893296	0.000194
0.002001522	0.99893086	0.000195
0.002003704	0.99892903	0.000196
0.002005886	0.99892687	0.000196
0.002008068	0.9989244	0.000197
0.00201025	0.99892222	0.000198
0.002012432	0.99892035	0.000199
0.002014613	0.99891817	0.000199
0.002016795	0.99891567	0.0002
0.002018977	0.99891348	0.000201
0.002021159	0.99891159	0.000202
0.002023341	0.99890939	0.000202
0.002025523	0.99890687	0.000203
0.002027705	0.99890466	0.000204
0.002029887	0.99890275	0.000205
0.002032069	0.99890051	0.000205
0.002034251	0.99889796	0.000206
0.002036432	0.99889566	0.000207
0.002038614	0.99889353	0.000208
0.002040796	0.99889166	0.000209
0.002042978	0.99888947	0.000209
0.00204516	0.99888695	0.00021
0.002047342	0.99888473	0.000211
0.002049524	0.99888281	0.000212
0.002051706	0.99888057	0.000212
0.002053888	0.99887801	0.000213
0.002056069	0.99887573	0.000214
0.002058251	0.99887373	0.000215
0.00206007	0.99887168	0.000215
0.00206107	0.99887067	0.000216
0.00206207	0.99886983	0.000216
0.00206307	0.99886851	0.000216
0.00206407	0.99886738	0.000217
0.00206507	0.99886633	0.000217
0.00206607	0.99886537	0.000218
0.00206707	0.99886458	0.000218
0.00206807	0.9988633	0.000218
0.00206907	0.99886219	0.000219
0.00207007	0.99886117	0.000219
0.00207107	0.99886024	0.00022
0.00207207	0.99885948	0.00022
0.00207307	0.99885824	0.00022
0.00207407	0.99885722	0.000221
0.00207507	0.9988564	0.000221
0.00207607	0.9988551	0.000221
0.00207707	0.99885398	0.000222
0.00207807	0.99885295	0.000222
0.00207907	0.99885201	0.000223
0.00208007	0.99885125	0.000223
0.00208107	0.99885	0.000223
0.00208207	0.99884897	0.000224
0.00208307	0.99884814	0.000224
0.00208407	0.99884683	0.000224
0.00208507	0.9988457	0.000225
0.00208607	0.99884466	0.000225
0.00208707	0.9988437	0.000226
0.002088071	0.99884292	0.000226
0.002089071	0.99884163	0.000226
0.002090071	0.99884052	0.000227
0.002091071	0.9988395	0.000227
0.002092071	0.99883856	0.000228
0.002093071	0.9988378	0.000228
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0.039401331	0.71541486	0.104984
0.039501334	0.71529384	0.108188
0.039601339	0.71317355	0.105026
0.039701341	0.7112452	0.111446
0.039801344	0.71148017	0.111234
0.039901349	0.71131743	0.113293
0.040001351	0.7102595	0.111367
0.040101354	0.70790118	0.11272
0.040201358	0.70611294	0.113892
0.040301361	0.70443431	0.115094
0.040401366	0.70279385	0.116344
0.040501367	0.70127529	0.117739
0.040601371	0.69979257	0.118882
0.040701375	0.69819473	0.120074
0.040801378	0.69661147	0.121457
0.040901382	0.69515813	0.12287
0.041001384	0.6936605	0.124032
0.041101388	0.69218302	0.125539
0.041201392	0.69080571	0.126804
0.041301396	0.68927104	0.127951
0.041401398	0.68782197	0.129574
0.041501401	0.68646619	0.130741
0.041601406	0.68504939	0.132104
0.041701408	0.68353969	0.133214
0.041801412	0.68204575	0.134773
0.041901415	0.68066684	0.136054
0.042001418	0.67920765	0.137338
0.042101422	0.67778038	0.138764
0.042201425	0.67631313	0.139967
0.042301428	0.67481198	0.141446
0.042401432	0.67347154	0.142951
0.042501435	0.6722227	0.144275
0.042601439	0.67080941	0.145323
0.042701443	0.66933407	0.146751
0.042801445	0.66788098	0.147947
0.042901449	0.66642417	0.149365
0.043001453	0.66499158	0.150603
0.043101455	0.66354371	0.151954
0.043201459	0.66208173	0.153177
0.043301463	0.66065377	0.154562
0.043401466	0.65911309	0.155559
0.04350147	0.65738776	0.156911
0.043601472	0.65595681	0.158664
0.043701477	0.65460247	0.159694
0.043801479	0.65314444	0.161057
0.043901483	0.65178075	0.16219
0.044001487	0.64980549	0.162555
0.044101489	0.64778473	0.164698
0.044201492	0.64650643	0.166344
0.044301496	0.64510391	0.167136
0.0444015	0.64336364	0.168233
0.044501503	0.64151702	0.169296
0.044601507	0.6396925	0.170612
0.044701511	0.63789441	0.171644
0.044801512	0.63625259	0.172885
0.044901515	0.63403269	0.172558
0.04500152	0.63089399	0.172427
0.045735201	0.61437624	0.194764618
0.046493201	0.60410118	0.209838973
0.047276751	0.5929281	0.226258845
0.048087164	0.58166036	0.244024234
0.048925845	0.57059056	0.263135142
0.0497943	0.55981847	0.283591566
0.050694143	0.54936179	0.305393509
0.051627108	0.53906206	0.328540968
0.052595056	0.52821707	0.353033945
0.053599994	0.52021677	0.384028
0.058399995	0.51011977	0.513503
0.067399993	0.53382919	0.74155
0.074299991	0.58147806	0.903451
0.083599991	0.61852764	1.05499
0.086999994	0.6459613	1.179405
0.091999994	0.73025683	1.301012
0.098599994	0.82624807	1.396138
0.104799993	0.90307	1.514324
0.113499989	1.1042849	1.761264
0.119199989	1.273886	1.807451
0.124399982	1.4179475	1.838492
0.13149999	1.5985959	1.845867
0.141199981	1.8167955	1.828389
0.149199984	1.9752206	1.784282
0.155799976	2.0999235	1.741795
0.159499985	2.1503649	1.678377
0.165099975	2.2013548	1.639645
0.170299973	2.2362118	1.590277
0.174399977	2.2877275	1.615689
0.177399977	2.3314531	1.564728
0.180999976	2.3465461	1.515407

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: —

B (Boron): all datasets

About B (Boron)

Boron (B) is a chemical element with the atomic number 5 and is classified as a metalloid. In its crystalline form, it exhibits a complex structure with icosahedral units and is a poor conductor of electricity. Boron is not typically used as a standalone material in optical applications, but it plays a vital role as a dopant in semiconductors and optical fibers. In fiber optics, boron-doped fibers are used to shift the zero-dispersion wavelength and control nonlinear effects. In semiconductor applications, boron is often used to create p-type materials, serving as an acceptor impurity in materials like silicon. It also finds use in borosilicate glasses, which are prized for their low thermal expansion coefficients and high resistance to thermal shock, making them useful for applications requiring stability under fluctuating temperatures. In addition, boron nitride (BN) is known for its high thermal conductivity and electrical resistivity, making it useful in electronic packaging and thermal management systems. Despite its relative scarcity in pure optical applications, boron remains an important element in the broader landscape of materials science, contributing to the functionality of a variety of optoelectronic devices and systems.

More about B (Boron) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/B/nk/Fernandez-Perea.yml
ID: ds_f7020f636650
API: /v1/datasets/ds_f7020f636650

Plot