Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.62482
Extinction coefficient k: 1.40062e-06

Permittivity ε₁: 6.88969
Permittivity ε₂: 7.35275e-06

Absorption coefficient α: 0.050869 cm⁻¹
Penetration depth δ = λ/(2πk): 3.93167e+08 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.00575021 µm⁻¹

Group index n_g: 2.64472
Group velocity dispersion: 276.985 fs²/mm

Dispersion parameter D: -43.5818 ps/(nm·km)
Photon energy: 0.358336 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

# IG 5 (VITRON): IG 5
vitron_ig5 = ls.fetch_refractiveindex("specs", "VITRON-infrared", "IG5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(vitron_ig5.range_nm)  # (1000, 12000) nm
eps = vitron_ig5.eps([3460])  # 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_df33af48e404/lightsmith"
vitron_ig5 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(vitron_ig5.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (vitron-ig5/vitron).

# ... load vitron_ig5 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=vitron_ig5)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=1000, stop_nm=12000, 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_df33af48e404/lightsmith?model=drude_lorentz"
vitron_ig5_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 = 2.810945 + \frac{3.046894 λ^{2}}{λ^{2} - {0.402147}^{2}} + \frac{1.793191 λ^{2}}{λ^{2} - {46.757008}^{2}}

Valid from 1.0 to 12.0 µm.

Coefficients as stored

C_i	Value
C1	2.810945
C2	3.046894
C3	0.402147
C4	1.793191
C5	46.757008

Comments and conditions

Room temperature. Refractive index is relative to air at standard conditions; Wavelength in dispersion formula is as measured in air and expressed in micrometers.

References

1) VITRON datasheet IG-5 June 2014
2) Dr. Rolf Henkel (VITRON Spezialwerkstoffe GmbH) - private communications

Cite

VITRON datasheet IG-5 June 2014; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 411 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

IG 5 (VITRON), IG 5: n and k versus wavelength
λ (µm)	n	k
1	2.728522	1.616700e-06
1.00625	2.726933	1.605399e-06
1.01253	2.72537	1.594027e-06
1.01886	2.723832	1.582585e-06
1.02522	2.72232	1.571070e-06
1.03163	2.720832	1.559484e-06
1.03807	2.719369	1.547826e-06
1.04456	2.717929	1.536094e-06
1.05108	2.716512	1.524290e-06
1.05765	2.715118	1.512411e-06
1.06426	2.713746	1.500459e-06
1.07091	2.712396	1.488432e-06
1.0776	2.711067	1.476329e-06
1.08433	2.70976	1.464151e-06
1.0911	2.708473	1.451897e-06
1.09792	2.707206	1.439567e-06
1.10478	2.705959	1.427159e-06
1.11168	2.704732	1.414674e-06
1.11863	2.703524	1.402111e-06
1.12561	2.702335	1.389469e-06
1.13265	2.701164	1.376748e-06
1.13972	2.700011	1.363948e-06
1.14684	2.698875	1.351068e-06
1.15401	2.697758	1.338107e-06
1.16122	2.696657	1.325066e-06
1.16847	2.695573	1.311943e-06
1.17577	2.694506	1.298738e-06
1.18312	2.693455	1.285451e-06
1.19051	2.692419	1.272080e-06
1.19794	2.6914	1.258626e-06
1.20543	2.690396	1.245088e-06
1.21296	2.689406	1.231465e-06
1.22054	2.688432	1.217758e-06
1.22816	2.687472	1.203964e-06
1.23583	2.686527	1.190085e-06
1.24356	2.685595	1.176119e-06
1.25132	2.684678	1.162065e-06
1.25914	2.683773	1.147924e-06
1.26701	2.682883	1.133694e-06
1.27492	2.682005	1.119376e-06
1.28289	2.68114	1.104968e-06
1.2909	2.680288	1.090470e-06
1.29897	2.679448	1.075881e-06
1.30708	2.678621	1.061201e-06
1.31525	2.677806	1.046430e-06
1.32346	2.677002	1.031566e-06
1.33173	2.67621	1.016610e-06
1.34005	2.675429	1.001560e-06
1.34842	2.67466	9.864158e-07
1.35685	2.673902	9.711772e-07
1.36532	2.673155	9.558434e-07
1.37385	2.672418	9.404138e-07
1.38244	2.671692	9.248878e-07
1.39107	2.670976	9.092648e-07
1.39976	2.67027	8.935442e-07
1.40851	2.669575	8.777254e-07
1.41731	2.668889	8.618077e-07
1.42616	2.668213	8.457906e-07
1.43507	2.667546	8.296735e-07
1.44404	2.666889	8.134557e-07
1.45306	2.666241	7.971365e-07
1.46214	2.665602	7.807154e-07
1.47127	2.664973	7.641918e-07
1.48046	2.664351	7.475649e-07
1.48971	2.663739	7.308341e-07
1.49902	2.663135	7.139988e-07
1.5	2.663072	7.122200e-07
1.50838	2.662539	7.156715e-07
1.5178	2.661952	7.195520e-07
1.52729	2.661373	7.234567e-07
1.53683	2.660802	7.273859e-07
1.54643	2.660238	7.313395e-07
1.55609	2.659683	7.353179e-07
1.56581	2.659135	7.393212e-07
1.57559	2.658594	7.433494e-07
1.58544	2.658061	7.474028e-07
1.59534	2.657535	7.514816e-07
1.60531	2.657016	7.555858e-07
1.61534	2.656505	7.597156e-07
1.62543	2.656	7.638713e-07
1.63558	2.655502	7.680529e-07
1.6458	2.655011	7.722606e-07
1.65608	2.654526	7.764947e-07
1.66643	2.654048	7.807552e-07
1.67684	2.653577	7.850423e-07
1.68731	2.653111	7.893561e-07
1.69786	2.652652	7.936970e-07
1.70846	2.652199	7.980649e-07
1.71914	2.651752	8.024601e-07
1.72988	2.651311	8.068828e-07
1.74068	2.650876	8.113332e-07
1.75156	2.650447	8.158113e-07
1.7625	2.650023	8.203174e-07
1.77351	2.649605	8.248516e-07
1.78459	2.649193	8.294142e-07
1.79574	2.648785	8.340053e-07
1.80696	2.648384	8.386251e-07
1.81825	2.647987	8.432737e-07
1.82961	2.647596	8.479514e-07
1.84104	2.64721	8.526582e-07
1.85254	2.646828	8.573945e-07
1.86411	2.646452	8.621604e-07
1.87576	2.646081	8.669561e-07
1.88747	2.645714	8.717817e-07
1.89927	2.645352	8.766375e-07
1.91113	2.644995	8.815236e-07
1.92307	2.644643	8.864402e-07
1.93508	2.644295	8.913875e-07
1.94717	2.643951	8.963658e-07
1.95934	2.643612	9.013751e-07
1.97158	2.643277	9.064157e-07
1.98389	2.642946	9.114879e-07
1.99629	2.64262	9.165917e-07
2	2.642523	9.181200e-07
2.00876	2.642298	9.220312e-07
2.02131	2.64198	9.276342e-07
2.03394	2.641665	9.332722e-07
2.04664	2.641355	9.389454e-07
2.05943	2.641049	9.446541e-07
2.0723	2.640747	9.503984e-07
2.08524	2.640448	9.561786e-07
2.09827	2.640153	9.619949e-07
2.11138	2.639862	9.678476e-07
2.12457	2.639574	9.737368e-07
2.13784	2.63929	9.796628e-07
2.1512	2.639009	9.856259e-07
2.16463	2.638732	9.916262e-07
2.17816	2.638459	9.976639e-07
2.19177	2.638188	1.003739e-06
2.20546	2.637921	1.009853e-06
2.21924	2.637658	1.016005e-06
2.2331	2.637397	1.022195e-06
2.24705	2.63714	1.028423e-06
2.26109	2.636886	1.034691e-06
2.27521	2.636634	1.040998e-06
2.28943	2.636386	1.047344e-06
2.30373	2.636141	1.053730e-06
2.31812	2.635899	1.060156e-06
2.33261	2.635659	1.066622e-06
2.34718	2.635423	1.073128e-06
2.36184	2.635189	1.079675e-06
2.3766	2.634958	1.086263e-06
2.39144	2.63473	1.092892e-06
2.40638	2.634505	1.099562e-06
2.42142	2.634282	1.106274e-06
2.43654	2.634062	1.113028e-06
2.45177	2.633844	1.119824e-06
2.46708	2.633629	1.126663e-06
2.48249	2.633416	1.133544e-06
2.498	2.633206	1.140469e-06
2.51361	2.632998	1.147436e-06
2.52931	2.632793	1.154448e-06
2.54511	2.63259	1.161502e-06
2.56101	2.632389	1.168602e-06
2.57701	2.63219	1.175745e-06
2.59311	2.631994	1.182933e-06
2.60931	2.6318	1.190166e-06
2.62561	2.631608	1.197444e-06
2.64202	2.631418	1.204768e-06
2.65852	2.631231	1.212137e-06
2.67513	2.631045	1.219552e-06
2.69184	2.630861	1.227014e-06
2.70866	2.63068	1.234522e-06
2.72558	2.6305	1.242077e-06
2.74261	2.630322	1.249680e-06
2.75974	2.630147	1.257330e-06
2.77698	2.629973	1.265027e-06
2.79433	2.629801	1.272773e-06
2.81179	2.629631	1.280567e-06
2.82935	2.629462	1.288410e-06
2.84703	2.629296	1.296302e-06
2.86482	2.629131	1.304243e-06
2.88271	2.628967	1.312234e-06
2.90072	2.628806	1.320275e-06
2.91884	2.628646	1.328366e-06
2.93708	2.628488	1.336507e-06
2.95543	2.628331	1.344700e-06
2.97389	2.628176	1.352943e-06
2.99247	2.628022	1.361238e-06
3	2.627961	1.364600e-06
3.01116	2.62787	1.365474e-06
3.02998	2.62772	1.366947e-06
3.04891	2.627571	1.368429e-06
3.06795	2.627423	1.369921e-06
3.08712	2.627277	1.371421e-06
3.10641	2.627132	1.372932e-06
3.12581	2.626989	1.374451e-06
3.14534	2.626846	1.375980e-06
3.16499	2.626706	1.377519e-06
3.18476	2.626566	1.379067e-06
3.20466	2.626428	1.380625e-06
3.22468	2.626291	1.382192e-06
3.24482	2.626155	1.383770e-06
3.2651	2.626021	1.385357e-06
3.28549	2.625887	1.386954e-06
3.30602	2.625755	1.388561e-06
3.32667	2.625624	1.390178e-06
3.34745	2.625494	1.391806e-06
3.36837	2.625365	1.393443e-06
3.38941	2.625237	1.395091e-06
3.41058	2.625111	1.396749e-06
3.43189	2.624985	1.398417e-06
3.45333	2.62486	1.400096e-06
3.47491	2.624736	1.401785e-06
3.49661	2.624614	1.403485e-06
3.51846	2.624492	1.405195e-06
3.54044	2.624371	1.406916e-06
3.56256	2.624251	1.408648e-06
3.58481	2.624132	1.410391e-06
3.60721	2.624014	1.412144e-06
3.62974	2.623896	1.413909e-06
3.65242	2.62378	1.415684e-06
3.67524	2.623664	1.417471e-06
3.6982	2.623549	1.419269e-06
3.7213	2.623435	1.421078e-06
3.74455	2.623322	1.422898e-06
3.76794	2.623209	1.424730e-06
3.79148	2.623097	1.426573e-06
3.81517	2.622986	1.428428e-06
3.839	2.622875	1.430294e-06
3.86299	2.622765	1.432172e-06
3.88712	2.622656	1.434061e-06
3.9114	2.622547	1.435963e-06
3.93584	2.622439	1.437876e-06
3.96043	2.622332	1.439801e-06
3.98517	2.622225	1.441739e-06
4	2.622161	1.442900e-06
4.01007	2.622118	1.446247e-06
4.03512	2.622013	1.454576e-06
4.06033	2.621907	1.462958e-06
4.08569	2.621803	1.471392e-06
4.11122	2.621698	1.479879e-06
4.1369	2.621595	1.488419e-06
4.16274	2.621491	1.497012e-06
4.18875	2.621388	1.505659e-06
4.21492	2.621286	1.514360e-06
4.24125	2.621184	1.523116e-06
4.26775	2.621082	1.531926e-06
4.29441	2.620981	1.540791e-06
4.32124	2.62088	1.549711e-06
4.34823	2.620779	1.558687e-06
4.3754	2.620679	1.567719e-06
4.40273	2.620579	1.576808e-06
4.43024	2.620479	1.585953e-06
4.45791	2.620379	1.595156e-06
4.48576	2.62028	1.604416e-06
4.51379	2.620181	1.613734e-06
4.54199	2.620082	1.623110e-06
4.57036	2.619984	1.632545e-06
4.59891	2.619885	1.642038e-06
4.62764	2.619787	1.651591e-06
4.65655	2.619689	1.661204e-06
4.68564	2.619591	1.670877e-06
4.71492	2.619493	1.680610e-06
4.74437	2.619396	1.690404e-06
4.77401	2.619298	1.700259e-06
4.80384	2.619201	1.710175e-06
4.83385	2.619103	1.720154e-06
4.86405	2.619006	1.730195e-06
4.89443	2.618908	1.740299e-06
4.92501	2.618811	1.750465e-06
4.95578	2.618714	1.760696e-06
4.98674	2.618616	1.770990e-06
5	2.618575	1.775400e-06
5.01789	2.618519	1.770310e-06
5.04924	2.618422	1.761392e-06
5.08078	2.618324	1.752417e-06
5.11252	2.618226	1.743387e-06
5.14446	2.618129	1.734300e-06
5.1766	2.618031	1.725157e-06
5.20894	2.617933	1.715956e-06
5.24148	2.617835	1.706698e-06
5.27423	2.617737	1.697382e-06
5.30718	2.617638	1.688008e-06
5.34033	2.61754	1.678575e-06
5.3737	2.617441	1.669084e-06
5.40727	2.617342	1.659533e-06
5.44105	2.617243	1.649922e-06
5.47504	2.617143	1.640252e-06
5.50924	2.617043	1.630521e-06
5.54366	2.616943	1.620729e-06
5.57829	2.616843	1.610876e-06
5.61314	2.616742	1.600961e-06
5.64821	2.616641	1.590985e-06
5.68349	2.616539	1.580946e-06
5.719	2.616437	1.570844e-06
5.75473	2.616335	1.560680e-06
5.79068	2.616233	1.550451e-06
5.82686	2.61613	1.540159e-06
5.86326	2.616026	1.529803e-06
5.89989	2.615922	1.519382e-06
5.93675	2.615818	1.508896e-06
5.97383	2.615713	1.498344e-06
6	2.615639	1.490900e-06
6.01115	2.615607	1.490906e-06
6.04871	2.615501	1.490924e-06
6.0865	2.615395	1.490943e-06
6.12452	2.615288	1.490962e-06
6.16278	2.61518	1.490981e-06
6.20128	2.615072	1.491001e-06
6.24002	2.614963	1.491020e-06
6.27901	2.614853	1.491040e-06
6.31823	2.614743	1.491059e-06
6.3577	2.614632	1.491079e-06
6.39742	2.61452	1.491099e-06
6.43739	2.614408	1.491119e-06
6.47761	2.614295	1.491139e-06
6.51807	2.614181	1.491159e-06
6.55879	2.614067	1.491179e-06
6.59977	2.613951	1.491200e-06
6.641	2.613835	1.491220e-06
6.68249	2.613718	1.491241e-06
6.72423	2.6136	1.491262e-06
6.76624	2.613481	1.491283e-06
6.80851	2.613362	1.491304e-06
6.85105	2.613241	1.491326e-06
6.89385	2.61312	1.491347e-06
6.93691	2.612997	1.491368e-06
6.98025	2.612874	1.491390e-06
7	2.612818	1.491400e-06
7.02386	2.61275	1.508084e-06
7.06774	2.612624	1.538770e-06
7.11189	2.612498	1.569647e-06
7.15632	2.61237	1.600716e-06
7.20103	2.612241	1.631980e-06
7.24602	2.612112	1.663440e-06
7.29128	2.611981	1.695095e-06
7.33684	2.611849	1.726949e-06
7.38267	2.611716	1.759001e-06
7.42879	2.611581	1.791254e-06
7.4752	2.611445	1.823709e-06
7.5219	2.611309	1.856366e-06
7.56889	2.61117	1.889227e-06
7.61618	2.611031	1.922293e-06
7.66376	2.61089	1.955566e-06
7.71164	2.610748	1.989047e-06
7.75981	2.610604	2.022737e-06
7.80829	2.61046	2.056637e-06
7.85707	2.610313	2.090749e-06
7.90616	2.610165	2.125074e-06
7.95555	2.610016	2.159614e-06
8	2.609881	2.190700e-06
8.00525	2.609865	2.182788e-06
8.05526	2.609713	2.107391e-06
8.10558	2.609559	2.031522e-06
8.15622	2.609404	1.955180e-06
8.20717	2.609246	1.878360e-06
8.25845	2.609088	1.801061e-06
8.31004	2.608927	1.723279e-06
8.36195	2.608765	1.645011e-06
8.41419	2.608601	1.566254e-06
8.46676	2.608436	1.487004e-06
8.51965	2.608268	1.407260e-06
8.57288	2.608099	1.327018e-06
8.62644	2.607928	1.246274e-06
8.68033	2.607755	1.165026e-06
8.73456	2.60758	1.083270e-06
8.78912	2.607403	1.001004e-06
8.84403	2.607224	9.182232e-07
8.89928	2.607043	8.349256e-07
8.95488	2.60686	7.511077e-07
9	2.606711	6.830800e-07
9.01082	2.606675	6.859577e-07
9.06711	2.606487	7.009283e-07
9.12376	2.606298	7.159924e-07
9.18076	2.606106	7.311506e-07
9.23811	2.605912	7.464035e-07
9.29582	2.605716	7.617517e-07
9.3539	2.605518	7.771957e-07
9.41233	2.605317	7.927363e-07
9.47114	2.605114	8.083739e-07
9.5303	2.604908	8.241093e-07
9.58984	2.6047	8.399429e-07
9.64975	2.604489	8.558755e-07
9.71004	2.604276	8.719076e-07
9.7707	2.60406	8.880398e-07
9.83174	2.603842	9.042728e-07
9.89316	2.603621	9.206073e-07
9.95497	2.603397	9.370438e-07
10	2.603233	9.490200e-07
10.0172	2.60317	1.011762e-06
10.0797	2.60294	1.240603e-06
10.1427	2.602708	1.470874e-06
10.2061	2.602473	1.702583e-06
10.2698	2.602235	1.935739e-06
10.334	2.601993	2.170352e-06
10.3986	2.601749	2.406431e-06
10.4635	2.601501	2.643985e-06
10.5289	2.601251	2.883023e-06
10.5947	2.600997	3.123554e-06
10.6608	2.60074	3.365588e-06
10.7274	2.600479	3.609134e-06
10.7945	2.600215	3.854201e-06
10.8619	2.599948	4.100799e-06
10.9298	2.599677	4.348938e-06
10.998	2.599403	4.598627e-06
11	2.599395	4.605800e-06
11.0667	2.599125	7.171473e-06
11.1359	2.598843	9.829042e-06
11.2055	2.598558	1.250321e-05
11.2755	2.598269	1.519409e-05
11.3459	2.597976	1.790178e-05
11.4168	2.597679	2.062638e-05
11.4881	2.597378	2.336801e-05
11.5599	2.597073	2.612676e-05
11.6321	2.596764	2.890275e-05
11.7048	2.596451	3.169608e-05
11.7779	2.596133	3.450686e-05
11.8515	2.595811	3.733520e-05
11.9255	2.595485	4.018121e-05
12	2.595154	4.304500e-05

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: —

Plot