Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.79791
Extinction coefficient k: 1.01566e-06

Permittivity ε₁: 7.82831
Permittivity ε₂: 5.68345e-06

Absorption coefficient α: 0.0368877 cm⁻¹
Penetration depth δ = λ/(2πk): 5.42186e+08 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.00676327 µm⁻¹

Group index n_g: 2.82131
Group velocity dispersion: 366.244 fs²/mm

Dispersion parameter D: -57.6261 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 6 (VITRON): IG 6
vitron_ig6 = ls.fetch_refractiveindex("specs", "VITRON-infrared", "IG6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(vitron_ig6.range_nm)  # (1000, 12000) nm
eps = vitron_ig6.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_2a8b9c82a0c8/lightsmith"
vitron_ig6 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(vitron_ig6.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (vitron-ig6/vitron).

# ... load vitron_ig6 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=vitron_ig6)],
    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_2a8b9c82a0c8/lightsmith?model=drude_lorentz"
vitron_ig6_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 = 3.110014 + \frac{3.669697 λ^{2}}{λ^{2} - {0.426372}^{2}} + \frac{2.358954 λ^{2}}{λ^{2} - {59.555103}^{2}}

Valid from 1.0 to 12.0 µm.

Coefficients as stored

C_i	Value
C1	3.110014
C2	3.669697
C3	0.426372
C4	2.358954
C5	59.555103

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-6 June 2014
2) Dr. Rolf Henkel (VITRON Spezialwerkstoffe GmbH) - private communications

Cite

VITRON datasheet IG-6 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 6 (VITRON), IG 6: n and k versus wavelength
λ (µm)	n	k
1	2.93162	9.950300e-07
1.00625	2.92952	9.893292e-07
1.01253	2.927455	9.835929e-07
1.01886	2.925426	9.778207e-07
1.02522	2.923431	9.720124e-07
1.03163	2.921469	9.661678e-07
1.03807	2.91954	9.602868e-07
1.04456	2.917644	9.543690e-07
1.05108	2.915779	9.484142e-07
1.05765	2.913945	9.424222e-07
1.06426	2.912141	9.363928e-07
1.07091	2.910367	9.303257e-07
1.0776	2.908622	9.242207e-07
1.08433	2.906905	9.180776e-07
1.0911	2.905216	9.118961e-07
1.09792	2.903555	9.056760e-07
1.10478	2.90192	8.994170e-07
1.11168	2.900312	8.931189e-07
1.11863	2.89873	8.867815e-07
1.12561	2.897173	8.804045e-07
1.13265	2.89564	8.739876e-07
1.13972	2.894132	8.675307e-07
1.14684	2.892648	8.610334e-07
1.15401	2.891187	8.544955e-07
1.16122	2.88975	8.479168e-07
1.16847	2.888335	8.412970e-07
1.17577	2.886942	8.346358e-07
1.18312	2.88557	8.279331e-07
1.19051	2.88422	8.211884e-07
1.19794	2.882891	8.144016e-07
1.20543	2.881582	8.075724e-07
1.21296	2.880294	8.007005e-07
1.22054	2.879025	7.937858e-07
1.22816	2.877776	7.868278e-07
1.23583	2.876546	7.798263e-07
1.24356	2.875335	7.727811e-07
1.25132	2.874142	7.656919e-07
1.25914	2.872967	7.585584e-07
1.26701	2.871809	7.513804e-07
1.27492	2.87067	7.441575e-07
1.28289	2.869547	7.368894e-07
1.2909	2.868441	7.295760e-07
1.29897	2.867352	7.222169e-07
1.30708	2.866279	7.148118e-07
1.31525	2.865222	7.073604e-07
1.32346	2.864181	6.998625e-07
1.33173	2.863155	6.923178e-07
1.34005	2.862144	6.847259e-07
1.34842	2.861148	6.770866e-07
1.35685	2.860166	6.693995e-07
1.36532	2.8592	6.616645e-07
1.37385	2.858247	6.538811e-07
1.38244	2.857308	6.460491e-07
1.39107	2.856383	6.381682e-07
1.39976	2.855471	6.302380e-07
1.40851	2.854572	6.222583e-07
1.41731	2.853687	6.142287e-07
1.42616	2.852814	6.061490e-07
1.43507	2.851954	5.980188e-07
1.44404	2.851106	5.898378e-07
1.45306	2.85027	5.816057e-07
1.46214	2.849447	5.733222e-07
1.47127	2.848635	5.649869e-07
1.48046	2.847834	5.565995e-07
1.48971	2.847045	5.481598e-07
1.49902	2.846267	5.396673e-07
1.5	2.846186	5.387700e-07
1.50838	2.845501	5.369385e-07
1.5178	2.844745	5.348793e-07
1.52729	2.843999	5.328073e-07
1.53683	2.843265	5.307223e-07
1.54643	2.84254	5.286243e-07
1.55609	2.841826	5.265132e-07
1.56581	2.841121	5.243889e-07
1.57559	2.840427	5.222513e-07
1.58544	2.839742	5.201004e-07
1.59534	2.839067	5.179360e-07
1.60531	2.838401	5.157581e-07
1.61534	2.837744	5.135666e-07
1.62543	2.837097	5.113615e-07
1.63558	2.836458	5.091425e-07
1.6458	2.835828	5.069097e-07
1.65608	2.835207	5.046629e-07
1.66643	2.834594	5.024021e-07
1.67684	2.83399	5.001272e-07
1.68731	2.833394	4.978380e-07
1.69786	2.832806	4.955346e-07
1.70846	2.832226	4.932167e-07
1.71914	2.831655	4.908844e-07
1.72988	2.83109	4.885376e-07
1.74068	2.830534	4.861760e-07
1.75156	2.829985	4.837997e-07
1.7625	2.829443	4.814086e-07
1.77351	2.828909	4.790025e-07
1.78459	2.828382	4.765814e-07
1.79574	2.827862	4.741451e-07
1.80696	2.827349	4.716937e-07
1.81825	2.826843	4.692269e-07
1.82961	2.826344	4.667447e-07
1.84104	2.825851	4.642470e-07
1.85254	2.825365	4.617337e-07
1.86411	2.824886	4.592047e-07
1.87576	2.824413	4.566599e-07
1.88747	2.823946	4.540992e-07
1.89927	2.823485	4.515225e-07
1.91113	2.82303	4.489298e-07
1.92307	2.822582	4.463208e-07
1.93508	2.822139	4.436955e-07
1.94717	2.821702	4.410538e-07
1.95934	2.821271	4.383956e-07
1.97158	2.820845	4.357208e-07
1.98389	2.820425	4.330293e-07
1.99629	2.820011	4.303210e-07
2	2.819888	4.295100e-07
2.00876	2.819602	4.350647e-07
2.02131	2.819198	4.430220e-07
2.03394	2.8188	4.510291e-07
2.04664	2.818406	4.590862e-07
2.05943	2.818018	4.671936e-07
2.0723	2.817635	4.753517e-07
2.08524	2.817257	4.835608e-07
2.09827	2.816883	4.918211e-07
2.11138	2.816515	5.001330e-07
2.12457	2.816151	5.084969e-07
2.13784	2.815792	5.169130e-07
2.1512	2.815437	5.253817e-07
2.16463	2.815087	5.339033e-07
2.17816	2.814741	5.424782e-07
2.19177	2.8144	5.511066e-07
2.20546	2.814063	5.597889e-07
2.21924	2.81373	5.685254e-07
2.2331	2.813402	5.773165e-07
2.24705	2.813078	5.861626e-07
2.26109	2.812758	5.950639e-07
2.27521	2.812441	6.040208e-07
2.28943	2.812129	6.130337e-07
2.30373	2.811821	6.221029e-07
2.31812	2.811517	6.312287e-07
2.33261	2.811216	6.404116e-07
2.34718	2.810919	6.496518e-07
2.36184	2.810626	6.589498e-07
2.3766	2.810336	6.683058e-07
2.39144	2.81005	6.777203e-07
2.40638	2.809768	6.871936e-07
2.42142	2.809489	6.967261e-07
2.43654	2.809213	7.063181e-07
2.45177	2.808941	7.159700e-07
2.46708	2.808672	7.256823e-07
2.48249	2.808406	7.354552e-07
2.498	2.808144	7.452892e-07
2.51361	2.807885	7.551846e-07
2.52931	2.807629	7.651419e-07
2.54511	2.807376	7.751613e-07
2.56101	2.807126	7.852434e-07
2.57701	2.806879	7.953884e-07
2.59311	2.806635	8.055968e-07
2.60931	2.806394	8.158690e-07
2.62561	2.806156	8.262053e-07
2.64202	2.80592	8.366062e-07
2.65852	2.805688	8.470721e-07
2.67513	2.805458	8.576034e-07
2.69184	2.805231	8.682005e-07
2.70866	2.805006	8.788638e-07
2.72558	2.804784	8.895937e-07
2.74261	2.804565	9.003906e-07
2.75974	2.804348	9.112550e-07
2.77698	2.804134	9.221872e-07
2.79433	2.803922	9.331878e-07
2.81179	2.803713	9.442571e-07
2.82935	2.803506	9.553955e-07
2.84703	2.803302	9.666035e-07
2.86482	2.803099	9.778815e-07
2.88271	2.8029	9.892300e-07
2.90072	2.802702	1.000649e-06
2.91884	2.802506	1.012140e-06
2.93708	2.802313	1.023703e-06
2.95543	2.802122	1.035337e-06
2.97389	2.801933	1.047045e-06
2.99247	2.801746	1.058825e-06
3	2.801671	1.063600e-06
3.01116	2.801562	1.062436e-06
3.02998	2.801379	1.060476e-06
3.04891	2.801198	1.058503e-06
3.06795	2.801019	1.056518e-06
3.08712	2.800842	1.054520e-06
3.10641	2.800667	1.052510e-06
3.12581	2.800494	1.050488e-06
3.14534	2.800323	1.048453e-06
3.16499	2.800153	1.046405e-06
3.18476	2.799986	1.044344e-06
3.20466	2.79982	1.042271e-06
3.22468	2.799656	1.040184e-06
3.24482	2.799493	1.038084e-06
3.2651	2.799332	1.035972e-06
3.28549	2.799173	1.033846e-06
3.30602	2.799016	1.031707e-06
3.32667	2.79886	1.029554e-06
3.34745	2.798705	1.027388e-06
3.36837	2.798553	1.025209e-06
3.38941	2.798401	1.023016e-06
3.41058	2.798252	1.020809e-06
3.43189	2.798103	1.018588e-06
3.45333	2.797956	1.016354e-06
3.47491	2.797811	1.014105e-06
3.49661	2.797667	1.011843e-06
3.51846	2.797524	1.009566e-06
3.54044	2.797383	1.007275e-06
3.56256	2.797243	1.004970e-06
3.58481	2.797104	1.002651e-06
3.60721	2.796967	1.000317e-06
3.62974	2.79683	9.979681e-07
3.65242	2.796695	9.956048e-07
3.67524	2.796562	9.932267e-07
3.6982	2.796429	9.908338e-07
3.7213	2.796298	9.884260e-07
3.74455	2.796167	9.860031e-07
3.76794	2.796038	9.835650e-07
3.79148	2.79591	9.811118e-07
3.81517	2.795783	9.786432e-07
3.839	2.795657	9.761591e-07
3.86299	2.795532	9.736596e-07
3.88712	2.795408	9.711444e-07
3.9114	2.795286	9.686136e-07
3.93584	2.795164	9.660669e-07
3.96043	2.795043	9.635043e-07
3.98517	2.794923	9.609257e-07
4	2.794852	9.593800e-07
4.01007	2.794804	9.587758e-07
4.03512	2.794686	9.572719e-07
4.06033	2.794568	9.557587e-07
4.08569	2.794452	9.542359e-07
4.11122	2.794336	9.527037e-07
4.1369	2.794221	9.511619e-07
4.16274	2.794107	9.496105e-07
4.18875	2.793994	9.480493e-07
4.21492	2.793882	9.464785e-07
4.24125	2.79377	9.448978e-07
4.26775	2.793659	9.433072e-07
4.29441	2.793549	9.417067e-07
4.32124	2.793439	9.400962e-07
4.34823	2.793331	9.384756e-07
4.3754	2.793222	9.368449e-07
4.40273	2.793115	9.352041e-07
4.43024	2.793008	9.335529e-07
4.45791	2.792901	9.318915e-07
4.48576	2.792796	9.302197e-07
4.51379	2.792691	9.285374e-07
4.54199	2.792586	9.268446e-07
4.57036	2.792482	9.251413e-07
4.59891	2.792378	9.234273e-07
4.62764	2.792275	9.217026e-07
4.65655	2.792173	9.199671e-07
4.68564	2.79207	9.182208e-07
4.71492	2.791969	9.164636e-07
4.74437	2.791868	9.146954e-07
4.77401	2.791767	9.129161e-07
4.80384	2.791666	9.111257e-07
4.83385	2.791566	9.093242e-07
4.86405	2.791467	9.075114e-07
4.89443	2.791367	9.056872e-07
4.92501	2.791268	9.038517e-07
4.95578	2.79117	9.020047e-07
4.98674	2.791071	9.001462e-07
5	2.79103	8.993500e-07
5.01789	2.790973	8.997727e-07
5.04924	2.790876	9.005135e-07
5.08078	2.790778	9.012589e-07
5.11252	2.790681	9.020089e-07
5.14446	2.790584	9.027637e-07
5.1766	2.790487	9.035231e-07
5.20894	2.79039	9.042873e-07
5.24148	2.790294	9.050562e-07
5.27423	2.790198	9.058300e-07
5.30718	2.790102	9.066086e-07
5.34033	2.790006	9.073921e-07
5.3737	2.78991	9.081804e-07
5.40727	2.789814	9.089737e-07
5.44105	2.789718	9.097719e-07
5.47504	2.789623	9.105752e-07
5.50924	2.789527	9.113834e-07
5.54366	2.789432	9.121967e-07
5.57829	2.789336	9.130151e-07
5.61314	2.789241	9.138385e-07
5.64821	2.789145	9.146672e-07
5.68349	2.78905	9.155010e-07
5.719	2.788954	9.163400e-07
5.75473	2.788859	9.171842e-07
5.79068	2.788763	9.180338e-07
5.82686	2.788667	9.188886e-07
5.86326	2.788572	9.197488e-07
5.89989	2.788476	9.206143e-07
5.93675	2.78838	9.214853e-07
5.97383	2.788283	9.223617e-07
6	2.788216	9.229800e-07
6.01115	2.788187	9.192821e-07
6.04871	2.788091	9.068324e-07
6.0865	2.787994	8.943049e-07
6.12452	2.787897	8.816992e-07
6.16278	2.7878	8.690148e-07
6.20128	2.787702	8.562511e-07
6.24002	2.787605	8.434076e-07
6.27901	2.787507	8.304839e-07
6.31823	2.787409	8.174795e-07
6.3577	2.78731	8.043939e-07
6.39742	2.787211	7.912265e-07
6.43739	2.787112	7.779768e-07
6.47761	2.787012	7.646443e-07
6.51807	2.786913	7.512286e-07
6.55879	2.786812	7.377291e-07
6.59977	2.786712	7.241452e-07
6.641	2.786611	7.104764e-07
6.68249	2.786509	6.967223e-07
6.72423	2.786407	6.828822e-07
6.76624	2.786305	6.689557e-07
6.80851	2.786202	6.549422e-07
6.85105	2.786098	6.408411e-07
6.89385	2.785994	6.266520e-07
6.93691	2.78589	6.123741e-07
6.98025	2.785785	5.980071e-07
7	2.785737	5.914600e-07
7.02386	2.785679	5.802982e-07
7.06774	2.785573	5.597698e-07
7.11189	2.785466	5.391132e-07
7.15632	2.785359	5.183276e-07
7.20103	2.785251	4.974121e-07
7.24602	2.785142	4.763659e-07
7.29128	2.785033	4.551883e-07
7.33684	2.784923	4.338784e-07
7.38267	2.784812	4.124353e-07
7.42879	2.7847	3.908582e-07
7.4752	2.784588	3.691464e-07
7.5219	2.784475	3.472989e-07
7.56889	2.784361	3.253150e-07
7.61618	2.784246	3.031937e-07
7.66376	2.784131	2.809342e-07
7.71164	2.784014	2.585356e-07
7.75981	2.783897	2.359971e-07
7.80829	2.783779	2.133178e-07
7.85707	2.78366	1.904969e-07
7.90616	2.78354	1.675333e-07
7.95555	2.783419	1.444263e-07
8	2.78331	1.236300e-07
8.00525	2.783297	1.285533e-07
8.05526	2.783175	1.754720e-07
8.10558	2.783051	2.226839e-07
8.15622	2.782926	2.701907e-07
8.20717	2.7828	3.179944e-07
8.25845	2.782673	3.660966e-07
8.31004	2.782545	4.144994e-07
8.36195	2.782416	4.632045e-07
8.41419	2.782285	5.122139e-07
8.46676	2.782154	5.615295e-07
8.51965	2.782021	6.111532e-07
8.57288	2.781887	6.610869e-07
8.62644	2.781752	7.113326e-07
8.68033	2.781616	7.618921e-07
8.73456	2.781478	8.127675e-07
8.78912	2.781339	8.639607e-07
8.84403	2.781199	9.154738e-07
8.89928	2.781057	9.673087e-07
8.95488	2.780914	1.019467e-06
9	2.780797	1.061800e-06
9.01082	2.780769	1.053851e-06
9.06711	2.780624	1.012497e-06
9.12376	2.780476	9.708856e-07
9.18076	2.780327	9.290139e-07
9.23811	2.780177	8.868806e-07
9.29582	2.780025	8.444841e-07
9.3539	2.779872	8.018227e-07
9.41233	2.779717	7.588948e-07
9.47114	2.77956	7.156987e-07
9.5303	2.779402	6.722327e-07
9.58984	2.779242	6.284952e-07
9.64975	2.77908	5.844845e-07
9.71004	2.778917	5.401988e-07
9.7707	2.778752	4.956365e-07
9.83174	2.778585	4.507957e-07
9.89316	2.778416	4.056749e-07
9.95497	2.778246	3.602721e-07
10	2.778121	3.271900e-07
10.0172	2.778073	3.433219e-07
10.0797	2.777899	4.021601e-07
10.1427	2.777723	4.613659e-07
10.2061	2.777544	5.209416e-07
10.2698	2.777364	5.808895e-07
10.334	2.777182	6.412119e-07
10.3986	2.776997	7.019111e-07
10.4635	2.776811	7.629896e-07
10.5289	2.776622	8.244496e-07
10.5947	2.776431	8.862935e-07
10.6608	2.776238	9.485239e-07
10.7274	2.776043	1.011143e-06
10.7945	2.775845	1.074153e-06
10.8619	2.775645	1.137557e-06
10.9298	2.775443	1.201357e-06
10.998	2.775238	1.265556e-06
11	2.775232	1.267400e-06
11.0667	2.775031	1.358342e-06
11.1359	2.774821	1.452541e-06
11.2055	2.774609	1.547328e-06
11.2755	2.774395	1.642708e-06
11.3459	2.774177	1.738684e-06
11.4168	2.773957	1.835259e-06
11.4881	2.773735	1.932437e-06
11.5599	2.773509	2.030223e-06
11.6321	2.773281	2.128620e-06
11.7048	2.77305	2.227631e-06
11.7779	2.772816	2.327261e-06
11.8515	2.77258	2.427513e-06
11.9255	2.77234	2.528391e-06
12	2.772097	2.629900e-06

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