Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.62443
Extinction coefficient k: 8.02673e-07

Permittivity ε₁: 6.88766
Permittivity ε₂: 4.21313e-06

Absorption coefficient α: 0.0291523 cm⁻¹
Penetration depth δ = λ/(2πk): 6.86053e+08 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.00519293 µm⁻¹

Group index n_g: 2.6424
Group velocity dispersion: 280.219 fs²/mm

Dispersion parameter D: -44.0906 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 4 (VITRON): IG 4
vitron_ig4 = ls.fetch_refractiveindex("specs", "VITRON-infrared", "IG4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(vitron_ig4.range_nm)  # (1000, 12000) nm
eps = vitron_ig4.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_2d4af74d7a4d/lightsmith"
vitron_ig4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(vitron_ig4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (vitron-ig4/vitron).

# ... load vitron_ig4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=vitron_ig4)],
    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_2d4af74d7a4d/lightsmith?model=drude_lorentz"
vitron_ig4_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 = 2.810961 + \frac{3.041642 λ^{2}}{λ^{2} - {0.398128}^{2}} + \frac{0.863445 λ^{2}}{λ^{2} - {42.51652}^{2}}

Valid from 1.0 to 12.0 µm.

Coefficients as stored

C_i	Value
C1	2.810961
C2	3.041642
C3	0.398128
C4	0.863445
C5	42.51652

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-4 June 2014
2) Dr. Rolf Henkel (VITRON Spezialwerkstoffe GmbH) - private communications

Cite

VITRON datasheet IG-4 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 4 (VITRON), IG 4: n and k versus wavelength
λ (µm)	n	k
1	2.724896	4.518900e-07
1.00625	2.723351	4.505984e-07
1.01253	2.721832	4.492988e-07
1.01886	2.720338	4.479911e-07
1.02522	2.718868	4.466751e-07
1.03163	2.717421	4.453510e-07
1.03807	2.715998	4.440186e-07
1.04456	2.714598	4.426779e-07
1.05108	2.713221	4.413287e-07
1.05765	2.711865	4.399712e-07
1.06426	2.710531	4.386052e-07
1.07091	2.709218	4.372306e-07
1.0776	2.707926	4.358475e-07
1.08433	2.706654	4.344557e-07
1.0911	2.705402	4.330552e-07
1.09792	2.70417	4.316460e-07
1.10478	2.702957	4.302280e-07
1.11168	2.701763	4.288011e-07
1.11863	2.700588	4.273653e-07
1.12561	2.699431	4.259205e-07
1.13265	2.698291	4.244667e-07
1.13972	2.697169	4.230038e-07
1.14684	2.696065	4.215318e-07
1.15401	2.694977	4.200506e-07
1.16122	2.693906	4.185601e-07
1.16847	2.692851	4.170603e-07
1.17577	2.691812	4.155512e-07
1.18312	2.690789	4.140326e-07
1.19051	2.689781	4.125045e-07
1.19794	2.688789	4.109669e-07
1.20543	2.687811	4.094197e-07
1.21296	2.686848	4.078628e-07
1.22054	2.6859	4.062962e-07
1.22816	2.684965	4.047198e-07
1.23583	2.684045	4.031336e-07
1.24356	2.683138	4.015374e-07
1.25132	2.682245	3.999313e-07
1.25914	2.681365	3.983151e-07
1.26701	2.680497	3.966889e-07
1.27492	2.679643	3.950525e-07
1.28289	2.678801	3.934058e-07
1.2909	2.677971	3.917489e-07
1.29897	2.677154	3.900816e-07
1.30708	2.676348	3.884039e-07
1.31525	2.675554	3.867158e-07
1.32346	2.674772	3.850170e-07
1.33173	2.674001	3.833077e-07
1.34005	2.673241	3.815877e-07
1.34842	2.672492	3.798569e-07
1.35685	2.671753	3.781154e-07
1.36532	2.671026	3.763629e-07
1.37385	2.670309	3.745995e-07
1.38244	2.669602	3.728251e-07
1.39107	2.668905	3.710396e-07
1.39976	2.668218	3.692429e-07
1.40851	2.667541	3.674351e-07
1.41731	2.666873	3.656159e-07
1.42616	2.666215	3.637853e-07
1.43507	2.665566	3.619434e-07
1.44404	2.664926	3.600899e-07
1.45306	2.664295	3.582248e-07
1.46214	2.663674	3.563481e-07
1.47127	2.66306	3.544597e-07
1.48046	2.662456	3.525594e-07
1.48971	2.66186	3.506473e-07
1.49902	2.661272	3.487233e-07
1.5	2.66121	3.485200e-07
1.50838	2.660692	3.495689e-07
1.5178	2.660121	3.507481e-07
1.52729	2.659557	3.519347e-07
1.53683	2.659001	3.531287e-07
1.54643	2.658453	3.543302e-07
1.55609	2.657912	3.555391e-07
1.56581	2.657379	3.567556e-07
1.57559	2.656853	3.579798e-07
1.58544	2.656334	3.592115e-07
1.59534	2.655823	3.604510e-07
1.60531	2.655318	3.616982e-07
1.61534	2.654821	3.629532e-07
1.62543	2.65433	3.642161e-07
1.63558	2.653846	3.654868e-07
1.6458	2.653368	3.667655e-07
1.65608	2.652897	3.680521e-07
1.66643	2.652432	3.693468e-07
1.67684	2.651974	3.706496e-07
1.68731	2.651521	3.719605e-07
1.69786	2.651075	3.732797e-07
1.70846	2.650635	3.746070e-07
1.71914	2.650201	3.759427e-07
1.72988	2.649772	3.772867e-07
1.74068	2.649349	3.786390e-07
1.75156	2.648932	3.799999e-07
1.7625	2.648521	3.813692e-07
1.77351	2.648115	3.827471e-07
1.78459	2.647714	3.841336e-07
1.79574	2.647319	3.855288e-07
1.80696	2.646929	3.869326e-07
1.81825	2.646544	3.883453e-07
1.82961	2.646164	3.897668e-07
1.84104	2.645789	3.911971e-07
1.85254	2.64542	3.926364e-07
1.86411	2.645055	3.940847e-07
1.87576	2.644694	3.955420e-07
1.88747	2.644339	3.970085e-07
1.89927	2.643988	3.984841e-07
1.91113	2.643642	3.999689e-07
1.92307	2.6433	4.014630e-07
1.93508	2.642963	4.029664e-07
1.94717	2.64263	4.044792e-07
1.95934	2.642302	4.060015e-07
1.97158	2.641977	4.075332e-07
1.98389	2.641657	4.090746e-07
1.99629	2.641341	4.106256e-07
2	2.641248	4.110900e-07
2.00876	2.64103	4.146611e-07
2.02131	2.640722	4.197770e-07
2.03394	2.640418	4.249248e-07
2.04664	2.640118	4.301047e-07
2.05943	2.639822	4.353170e-07
2.0723	2.639529	4.405619e-07
2.08524	2.639241	4.458395e-07
2.09827	2.638956	4.511502e-07
2.11138	2.638675	4.564940e-07
2.12457	2.638397	4.618711e-07
2.13784	2.638123	4.672819e-07
2.1512	2.637852	4.727265e-07
2.16463	2.637585	4.782050e-07
2.17816	2.637321	4.837179e-07
2.19177	2.63706	4.892651e-07
2.20546	2.636803	4.948470e-07
2.21924	2.636549	5.004638e-07
2.2331	2.636298	5.061157e-07
2.24705	2.636051	5.118028e-07
2.26109	2.635806	5.175255e-07
2.27521	2.635564	5.232840e-07
2.28943	2.635326	5.290784e-07
2.30373	2.63509	5.349090e-07
2.31812	2.634857	5.407761e-07
2.33261	2.634628	5.466798e-07
2.34718	2.634401	5.526204e-07
2.36184	2.634176	5.585981e-07
2.3766	2.633955	5.646131e-07
2.39144	2.633736	5.706658e-07
2.40638	2.63352	5.767562e-07
2.42142	2.633307	5.828847e-07
2.43654	2.633096	5.890515e-07
2.45177	2.632888	5.952568e-07
2.46708	2.632682	6.015008e-07
2.48249	2.632479	6.077839e-07
2.498	2.632278	6.141062e-07
2.51361	2.63208	6.204680e-07
2.52931	2.631884	6.268696e-07
2.54511	2.63169	6.333112e-07
2.56101	2.631499	6.397930e-07
2.57701	2.63131	6.463153e-07
2.59311	2.631123	6.528783e-07
2.60931	2.630939	6.594823e-07
2.62561	2.630756	6.661276e-07
2.64202	2.630576	6.728144e-07
2.65852	2.630398	6.795430e-07
2.67513	2.630222	6.863137e-07
2.69184	2.630048	6.931266e-07
2.70866	2.629876	6.999821e-07
2.72558	2.629706	7.068804e-07
2.74261	2.629538	7.138218e-07
2.75974	2.629372	7.208065e-07
2.77698	2.629208	7.278349e-07
2.79433	2.629046	7.349073e-07
2.81179	2.628885	7.420238e-07
2.82935	2.628727	7.491847e-07
2.84703	2.62857	7.563904e-07
2.86482	2.628415	7.636411e-07
2.88271	2.628262	7.709371e-07
2.90072	2.62811	7.782787e-07
2.91884	2.62796	7.856662e-07
2.93708	2.627812	7.930998e-07
2.95543	2.627666	8.005798e-07
2.97389	2.627521	8.081066e-07
2.99247	2.627378	8.156804e-07
3	2.62732	8.187500e-07
3.01116	2.627236	8.183598e-07
3.02998	2.627096	8.177023e-07
3.04891	2.626957	8.170408e-07
3.06795	2.62682	8.163750e-07
3.08712	2.626684	8.157052e-07
3.10641	2.62655	8.150311e-07
3.12581	2.626417	8.143529e-07
3.14534	2.626286	8.136704e-07
3.16499	2.626156	8.129836e-07
3.18476	2.626027	8.122926e-07
3.20466	2.6259	8.115972e-07
3.22468	2.625774	8.108975e-07
3.24482	2.625649	8.101934e-07
3.2651	2.625526	8.094849e-07
3.28549	2.625404	8.087720e-07
3.30602	2.625283	8.080547e-07
3.32667	2.625163	8.073328e-07
3.34745	2.625045	8.066065e-07
3.36837	2.624927	8.058756e-07
3.38941	2.624811	8.051401e-07
3.41058	2.624696	8.044001e-07
3.43189	2.624582	8.036554e-07
3.45333	2.62447	8.029061e-07
3.47491	2.624358	8.021521e-07
3.49661	2.624247	8.013933e-07
3.51846	2.624138	8.006299e-07
3.54044	2.624029	7.998617e-07
3.56256	2.623922	7.990886e-07
3.58481	2.623815	7.983108e-07
3.60721	2.623709	7.975281e-07
3.62974	2.623605	7.967405e-07
3.65242	2.623501	7.959479e-07
3.67524	2.623398	7.951504e-07
3.6982	2.623297	7.943480e-07
3.7213	2.623196	7.935405e-07
3.74455	2.623096	7.927280e-07
3.76794	2.622996	7.919104e-07
3.79148	2.622898	7.910877e-07
3.81517	2.6228	7.902599e-07
3.839	2.622704	7.894269e-07
3.86299	2.622608	7.885886e-07
3.88712	2.622512	7.877452e-07
3.9114	2.622418	7.868965e-07
3.93584	2.622324	7.860424e-07
3.96043	2.622231	7.851831e-07
3.98517	2.622139	7.843184e-07
4	2.622084	7.838000e-07
4.01007	2.622047	7.856140e-07
4.03512	2.621957	7.901291e-07
4.06033	2.621866	7.946725e-07
4.08569	2.621777	7.992442e-07
4.11122	2.621688	8.038444e-07
4.1369	2.6216	8.084734e-07
4.16274	2.621512	8.131314e-07
4.18875	2.621425	8.178184e-07
4.21492	2.621338	8.225347e-07
4.24125	2.621252	8.272805e-07
4.26775	2.621167	8.320559e-07
4.29441	2.621082	8.368611e-07
4.32124	2.620998	8.416964e-07
4.34823	2.620914	8.465619e-07
4.3754	2.620831	8.514577e-07
4.40273	2.620748	8.563842e-07
4.43024	2.620666	8.613414e-07
4.45791	2.620584	8.663296e-07
4.48576	2.620502	8.713490e-07
4.51379	2.620421	8.763997e-07
4.54199	2.620341	8.814820e-07
4.57036	2.620261	8.865960e-07
4.59891	2.620181	8.917420e-07
4.62764	2.620102	8.969201e-07
4.65655	2.620023	9.021306e-07
4.68564	2.619944	9.073736e-07
4.71492	2.619865	9.126494e-07
4.74437	2.619787	9.179581e-07
4.77401	2.61971	9.233001e-07
4.80384	2.619632	9.286753e-07
4.83385	2.619555	9.340842e-07
4.86405	2.619478	9.395268e-07
4.89443	2.619402	9.450035e-07
4.92501	2.619326	9.505143e-07
4.95578	2.61925	9.560596e-07
4.98674	2.619174	9.616396e-07
5	2.619141	9.640300e-07
5.01789	2.619098	9.677095e-07
5.04924	2.619023	9.741569e-07
5.08078	2.618947	9.806445e-07
5.11252	2.618872	9.871727e-07
5.14446	2.618797	9.937416e-07
5.1766	2.618723	1.000352e-06
5.20894	2.618648	1.007003e-06
5.24148	2.618574	1.013696e-06
5.27423	2.618499	1.020430e-06
5.30718	2.618425	1.027207e-06
5.34033	2.618351	1.034026e-06
5.3737	2.618277	1.040888e-06
5.40727	2.618203	1.047792e-06
5.44105	2.618129	1.054740e-06
5.47504	2.618055	1.061731e-06
5.50924	2.617981	1.068766e-06
5.54366	2.617907	1.075845e-06
5.57829	2.617833	1.082967e-06
5.61314	2.61776	1.090135e-06
5.64821	2.617686	1.097347e-06
5.68349	2.617612	1.104604e-06
5.719	2.617538	1.111907e-06
5.75473	2.617464	1.119255e-06
5.79068	2.61739	1.126649e-06
5.82686	2.617316	1.134090e-06
5.86326	2.617241	1.141576e-06
5.89989	2.617167	1.149110e-06
5.93675	2.617093	1.156691e-06
5.97383	2.617018	1.164319e-06
6	2.616966	1.169700e-06
6.01115	2.616943	1.171601e-06
6.04871	2.616868	1.178000e-06
6.0865	2.616793	1.184439e-06
6.12452	2.616718	1.190918e-06
6.16278	2.616643	1.197438e-06
6.20128	2.616567	1.203998e-06
6.24002	2.616491	1.210600e-06
6.27901	2.616415	1.217243e-06
6.31823	2.616339	1.223927e-06
6.3577	2.616262	1.230653e-06
6.39742	2.616186	1.237421e-06
6.43739	2.616108	1.244231e-06
6.47761	2.616031	1.251084e-06
6.51807	2.615953	1.257980e-06
6.55879	2.615875	1.264918e-06
6.59977	2.615797	1.271900e-06
6.641	2.615718	1.278926e-06
6.68249	2.615639	1.285996e-06
6.72423	2.61556	1.293109e-06
6.76624	2.61548	1.300267e-06
6.80851	2.615399	1.307470e-06
6.85105	2.615319	1.314718e-06
6.89385	2.615238	1.322011e-06
6.93691	2.615156	1.329350e-06
6.98025	2.615074	1.336735e-06
7	2.615037	1.340100e-06
7.02386	2.614992	1.395545e-06
7.06774	2.614909	1.497518e-06
7.11189	2.614825	1.600127e-06
7.15632	2.614741	1.703378e-06
7.20103	2.614656	1.807274e-06
7.24602	2.614571	1.911819e-06
7.29128	2.614486	2.017016e-06
7.33684	2.614399	2.122872e-06
7.38267	2.614313	2.229388e-06
7.42879	2.614225	2.336570e-06
7.4752	2.614137	2.444421e-06
7.5219	2.614048	2.552946e-06
7.56889	2.613959	2.662150e-06
7.61618	2.613869	2.772035e-06
7.66376	2.613778	2.882607e-06
7.71164	2.613687	2.993869e-06
7.75981	2.613595	3.105827e-06
7.80829	2.613502	3.218484e-06
7.85707	2.613408	3.331845e-06
7.90616	2.613314	3.445915e-06
7.95555	2.613219	3.560696e-06
8	2.613133	3.664000e-06
8.00525	2.613123	3.647878e-06
8.05526	2.613026	3.494238e-06
8.10558	2.612928	3.339637e-06
8.15622	2.612829	3.184071e-06
8.20717	2.61273	3.027533e-06
8.25845	2.61263	2.870017e-06
8.31004	2.612528	2.711517e-06
8.36195	2.612426	2.552026e-06
8.41419	2.612323	2.391539e-06
8.46676	2.612219	2.230050e-06
8.51965	2.612114	2.067552e-06
8.57288	2.612008	1.904039e-06
8.62644	2.6119	1.739504e-06
8.68033	2.611792	1.573941e-06
8.73456	2.611683	1.407344e-06
8.78912	2.611573	1.239706e-06
8.84403	2.611461	1.071021e-06
8.89928	2.611348	9.012822e-07
8.95488	2.611234	7.304829e-07
9	2.611142	5.918600e-07
9.01082	2.611119	5.965935e-07
9.06711	2.611003	6.212183e-07
9.12376	2.610886	6.459970e-07
9.18076	2.610767	6.709305e-07
9.23811	2.610647	6.960197e-07
9.29582	2.610526	7.212656e-07
9.3539	2.610403	7.466693e-07
9.41233	2.610279	7.722317e-07
9.47114	2.610154	7.979538e-07
9.5303	2.610027	8.238366e-07
9.58984	2.609899	8.498810e-07
9.64975	2.609769	8.760882e-07
9.71004	2.609638	9.024591e-07
9.7707	2.609505	9.289948e-07
9.83174	2.609371	9.556962e-07
9.89316	2.609235	9.825644e-07
9.95497	2.609098	1.009601e-06
10	2.608998	1.029300e-06
10.0172	2.608959	1.095752e-06
10.0797	2.608819	1.338124e-06
10.1427	2.608676	1.582010e-06
10.2061	2.608532	1.827420e-06
10.2698	2.608387	2.074362e-06
10.334	2.608239	2.322848e-06
10.3986	2.60809	2.572886e-06
10.4635	2.607939	2.824486e-06
10.5289	2.607786	3.077658e-06
10.5947	2.607631	3.332411e-06
10.6608	2.607474	3.588756e-06
10.7274	2.607315	3.846702e-06
10.7945	2.607154	4.106260e-06
10.8619	2.606992	4.367439e-06
10.9298	2.606827	4.630250e-06
10.998	2.60666	4.894703e-06
11	2.606655	4.902300e-06
11.0667	2.60649	8.329900e-06
11.1359	2.606319	1.188027e-05
11.2055	2.606146	1.545282e-05
11.2755	2.60597	1.904769e-05
11.3459	2.605791	2.266501e-05
11.4168	2.605611	2.630494e-05
11.4881	2.605428	2.996760e-05
11.5599	2.605243	3.365315e-05
11.6321	2.605055	3.736172e-05
11.7048	2.604865	4.109345e-05
11.7779	2.604672	4.484851e-05
11.8515	2.604476	4.862702e-05
11.9255	2.604278	5.242913e-05
12	2.604077	5.625500e-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