Optical constants

Refractive index of ZF51 (CDGM)

ZF51: n,k 0.4047–1.014 µm

Data: formula 3 + tabulated k
Range: 0.4047–1.014 µm
Temperature: 293 K
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.7847
Extinction coefficient k: 2.92327e-08

Permittivity ε₁: 3.18514
Permittivity ε₂: 1.04343e-07

Absorption coefficient α: 0.00625169 cm⁻¹
Penetration depth δ = λ/(2πk): 3.19914e+09 nm

Abbe number V_d: 26.076
Chromatic dispersion dn/dλ: -0.151068 µm⁻¹

Group index n_g: 1.87346
Group velocity dispersion: 311.931 fs²/mm

Dispersion parameter D: -1701.75 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

# ZF51 (CDGM): ZF51
cdgm_zf51 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZF51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zf51.range_nm)  # (404.7, 1014) nm
eps = cdgm_zf51.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_de39c097b1a7/lightsmith"
cdgm_zf51 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cdgm_zf51.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cdgm-zf51/cdgm).

# ... load cdgm_zf51 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cdgm_zf51)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=405, stop_nm=1000, 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.

Dispersion formula

Polynomial (formula 3), λ in µm

n^{2} = 3.06187076 - 0.0138733563 λ^{2.0} + 0.032985222 λ^{- 2.0} + 0.00507141578 λ^{- 4.0} - 0.000538606629 λ^{- 6.0} + 4.36089245 \times 10^{-5} λ^{- 8.0}

Valid from 0.4047 to 1.014 µm.

Coefficients as stored

C_i	Value
C1	3.06187076
C2	-0.0138733563
C3	2.0
C4	0.032985222
C5	-2.0
C6	0.00507141578
C7	-4.0
C8	-0.000538606629
C9	-6.0
C10	4.36089245e-05
C11	-8.0

Comments and conditions

Conditions

temperature: 293 K

Properties

thermal dispersion: type: formula A, coefficients: 3.8e-06 2.76e-08 -6.03e-11 1.6e-06 1.02e-09 0.279
nd: 1.784701
Vd: 26.075871
glass code: 785261
glass status: preferred
density: value: 4990
thermal expansion: value: 8.2e-06, temperature range: 243 343; value: 1.02e-05, temperature range: 293 573
dPgF: 0.0052
resistance: climatic: 1.0

Thermo-optic coefficient

Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.33e-06 K⁻¹ at 633 nm

References

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com)
See also CDGM optical glass data sheets

Cite

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com); See also CDGM optical glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 414 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

ZF51 (CDGM), ZF51: n and k versus wavelength
λ (µm)	n	k
0.4047	1.84067	5.195921e-07
0.405633	1.840101	5.042425e-07
0.406568	1.839537	4.888576e-07
0.407505	1.838977	4.734372e-07
0.408444	1.838422	4.579813e-07
0.409385	1.837871	4.424897e-07
0.410329	1.837325	4.269625e-07
0.411274	1.836782	4.113994e-07
0.412222	1.836244	3.958005e-07
0.413172	1.83571	3.801657e-07
0.414124	1.83518	3.644948e-07
0.415079	1.834654	3.487878e-07
0.416035	1.834132	3.330446e-07
0.416994	1.833614	3.172651e-07
0.417955	1.8331	3.014492e-07
0.418919	1.83259	2.855969e-07
0.419884	1.832083	2.697081e-07
0.42	1.832023	2.678000e-07
0.420852	1.831581	2.629488e-07
0.421822	1.831082	2.574246e-07
0.422794	1.830586	2.518876e-07
0.423768	1.830095	2.463378e-07
0.424745	1.829607	2.407753e-07
0.425724	1.829122	2.352000e-07
0.426705	1.828641	2.296118e-07
0.427688	1.828164	2.240107e-07
0.428674	1.82769	2.183967e-07
0.429662	1.827219	2.127698e-07
0.430652	1.826752	2.071299e-07
0.431645	1.826288	2.014770e-07
0.43264	1.825827	1.958111e-07
0.433637	1.82537	1.901321e-07
0.434636	1.824916	1.844400e-07
0.435638	1.824465	1.787349e-07
0.436642	1.824017	1.730165e-07
0.437648	1.823573	1.672850e-07
0.438657	1.823131	1.615403e-07
0.439668	1.822693	1.557823e-07
0.44	1.822549	1.538900e-07
0.440681	1.822257	1.521898e-07
0.441697	1.821825	1.496542e-07
0.442715	1.821395	1.471129e-07
0.443735	1.820969	1.445656e-07
0.444758	1.820545	1.420126e-07
0.445783	1.820124	1.394536e-07
0.44681	1.819706	1.368887e-07
0.44784	1.819291	1.343179e-07
0.448872	1.818879	1.317412e-07
0.449906	1.818469	1.291585e-07
0.450943	1.818063	1.265699e-07
0.451983	1.817659	1.239754e-07
0.453024	1.817257	1.213748e-07
0.454068	1.816859	1.187683e-07
0.455115	1.816463	1.161557e-07
0.456164	1.816069	1.135371e-07
0.457215	1.815678	1.109125e-07
0.458269	1.81529	1.082819e-07
0.459325	1.814904	1.056452e-07
0.46	1.814659	1.039600e-07
0.460384	1.814521	1.033714e-07
0.461445	1.81414	1.017434e-07
0.462508	1.813762	1.001117e-07
0.463574	1.813386	9.847615e-08
0.464642	1.813013	9.683686e-08
0.465713	1.812642	9.519380e-08
0.466787	1.812273	9.354694e-08
0.467862	1.811907	9.189629e-08
0.468941	1.811543	9.024184e-08
0.470021	1.811182	8.858357e-08
0.471105	1.810822	8.692148e-08
0.47219	1.810465	8.525556e-08
0.473279	1.810111	8.358581e-08
0.474369	1.809758	8.191220e-08
0.475463	1.809408	8.023474e-08
0.476559	1.80906	7.855341e-08
0.477657	1.808714	7.686820e-08
0.478758	1.80837	7.517911e-08
0.479861	1.808029	7.348613e-08
0.48	1.807986	7.327300e-08
0.480967	1.807689	7.224757e-08
0.482076	1.807352	7.107214e-08
0.483187	1.807017	6.989400e-08
0.4843	1.806683	6.871314e-08
0.485416	1.806352	6.752957e-08
0.486535	1.806023	6.634326e-08
0.487656	1.805696	6.515423e-08
0.48878	1.805371	6.396245e-08
0.489907	1.805048	6.276792e-08
0.491036	1.804727	6.157064e-08
0.492167	1.804408	6.037061e-08
0.493302	1.804091	5.916780e-08
0.494439	1.803775	5.796223e-08
0.495578	1.803462	5.675387e-08
0.49672	1.803151	5.554273e-08
0.497865	1.802841	5.432880e-08
0.499013	1.802533	5.311208e-08
0.5	1.802271	5.206500e-08
0.500163	1.802227	5.199565e-08
0.501315	1.801923	5.150413e-08
0.502471	1.801621	5.101148e-08
0.503629	1.801321	5.051770e-08
0.504789	1.801022	5.002277e-08
0.505953	1.800725	4.952670e-08
0.507119	1.80043	4.902949e-08
0.508288	1.800137	4.853114e-08
0.509459	1.799846	4.803164e-08
0.510633	1.799556	4.753098e-08
0.51181	1.799268	4.702917e-08
0.51299	1.798981	4.652621e-08
0.514172	1.798696	4.602208e-08
0.515357	1.798413	4.551680e-08
0.516545	1.798132	4.501034e-08
0.517735	1.797852	4.450273e-08
0.518928	1.797574	4.399394e-08
0.520124	1.797298	4.348398e-08
0.521323	1.797023	4.297284e-08
0.522525	1.79675	4.246053e-08
0.523729	1.796478	4.194703e-08
0.524936	1.796208	4.143236e-08
0.526146	1.795939	4.091649e-08
0.527358	1.795672	4.039944e-08
0.528574	1.795407	3.988119e-08
0.529792	1.795143	3.936175e-08
0.531013	1.794881	3.884112e-08
0.532237	1.79462	3.831928e-08
0.533463	1.79436	3.779624e-08
0.534693	1.794102	3.727200e-08
0.535925	1.793846	3.674655e-08
0.53716	1.793591	3.621988e-08
0.538398	1.793338	3.569201e-08
0.539639	1.793086	3.516291e-08
0.540883	1.792835	3.463260e-08
0.542129	1.792586	3.410106e-08
0.543379	1.792338	3.356830e-08
0.544631	1.792092	3.303431e-08
0.545886	1.791847	3.249909e-08
0.547144	1.791603	3.196264e-08
0.548405	1.791361	3.142495e-08
0.549669	1.79112	3.088603e-08
0.55	1.791058	3.074500e-08
0.550936	1.790881	3.070735e-08
0.552206	1.790643	3.065628e-08
0.553478	1.790406	3.060510e-08
0.554754	1.790171	3.055379e-08
0.556033	1.789937	3.050237e-08
0.557314	1.789704	3.045083e-08
0.558599	1.789472	3.039917e-08
0.559886	1.789242	3.034739e-08
0.561176	1.789013	3.029549e-08
0.56247	1.788786	3.024347e-08
0.563766	1.788559	3.019133e-08
0.565065	1.788334	3.013908e-08
0.566368	1.78811	3.008670e-08
0.567673	1.787888	3.003420e-08
0.568981	1.787667	2.998158e-08
0.570292	1.787446	2.992884e-08
0.571607	1.787228	2.987597e-08
0.572924	1.78701	2.982299e-08
0.574245	1.786793	2.976988e-08
0.575568	1.786578	2.971665e-08
0.576895	1.786364	2.966330e-08
0.578224	1.786151	2.960983e-08
0.579557	1.785939	2.955623e-08
0.580892	1.785729	2.950251e-08
0.582231	1.785519	2.944866e-08
0.583573	1.785311	2.939469e-08
0.584918	1.785104	2.934060e-08
0.586266	1.784898	2.928638e-08
0.587617	1.784693	2.923203e-08
0.588972	1.784489	2.917757e-08
0.590329	1.784286	2.912297e-08
0.591689	1.784085	2.906825e-08
0.593053	1.783884	2.901340e-08
0.59442	1.783685	2.895843e-08
0.59579	1.783487	2.890333e-08
0.597163	1.78329	2.884811e-08
0.598539	1.783093	2.879275e-08
0.599919	1.782898	2.873727e-08
0.6	1.782887	2.873400e-08
0.601301	1.782704	2.879633e-08
0.602687	1.782511	2.886271e-08
0.604076	1.782319	2.892925e-08
0.605468	1.782128	2.899593e-08
0.606864	1.781939	2.906277e-08
0.608262	1.78175	2.912977e-08
0.609664	1.781562	2.919692e-08
0.611069	1.781375	2.926422e-08
0.612478	1.781189	2.933168e-08
0.613889	1.781004	2.939929e-08
0.615304	1.78082	2.946706e-08
0.616722	1.780637	2.953499e-08
0.618143	1.780456	2.960307e-08
0.619568	1.780275	2.967131e-08
0.620996	1.780095	2.973971e-08
0.622427	1.779916	2.980826e-08
0.623862	1.779738	2.987698e-08
0.6253	1.77956	2.994585e-08
0.626741	1.779384	3.001488e-08
0.628185	1.779209	3.008406e-08
0.629633	1.779035	3.015341e-08
0.631084	1.778861	3.022292e-08
0.632538	1.778689	3.029259e-08
0.633996	1.778517	3.036242e-08
0.635457	1.778346	3.043241e-08
0.636922	1.778177	3.050256e-08
0.63839	1.778008	3.057287e-08
0.639861	1.77784	3.064335e-08
0.641336	1.777673	3.071398e-08
0.642814	1.777506	3.078478e-08
0.644295	1.777341	3.085575e-08
0.64578	1.777176	3.092687e-08
0.647269	1.777013	3.099816e-08
0.64876	1.77685	3.106962e-08
0.65	1.776716	3.112900e-08
0.650255	1.776688	3.108402e-08
0.651754	1.776527	3.082017e-08
0.653256	1.776367	3.055571e-08
0.654762	1.776207	3.029064e-08
0.656271	1.776048	3.002497e-08
0.657783	1.775891	2.975867e-08
0.659299	1.775734	2.949177e-08
0.660819	1.775577	2.922425e-08
0.662342	1.775422	2.895611e-08
0.663868	1.775267	2.868736e-08
0.665398	1.775113	2.841799e-08
0.666932	1.77496	2.814799e-08
0.668469	1.774808	2.787738e-08
0.670009	1.774657	2.760614e-08
0.671554	1.774506	2.733427e-08
0.673101	1.774356	2.706178e-08
0.674653	1.774207	2.678866e-08
0.676207	1.774059	2.651491e-08
0.677766	1.773911	2.624053e-08
0.679328	1.773764	2.596552e-08
0.680894	1.773618	2.568987e-08
0.682463	1.773472	2.541359e-08
0.684036	1.773328	2.513667e-08
0.685612	1.773184	2.485912e-08
0.687192	1.77304	2.458092e-08
0.688776	1.772898	2.430208e-08
0.690363	1.772756	2.402260e-08
0.691955	1.772615	2.374248e-08
0.693549	1.772475	2.346171e-08
0.695148	1.772335	2.318029e-08
0.69675	1.772196	2.289823e-08
0.698356	1.772058	2.261551e-08
0.699965	1.77192	2.233214e-08
0.7	1.771917	2.232600e-08
0.701578	1.771783	2.227551e-08
0.703195	1.771647	2.222378e-08
0.704816	1.771511	2.217194e-08
0.70644	1.771376	2.211998e-08
0.708068	1.771242	2.206789e-08
0.7097	1.771109	2.201569e-08
0.711336	1.770976	2.196337e-08
0.712975	1.770843	2.191092e-08
0.714618	1.770712	2.185835e-08
0.716265	1.770581	2.180567e-08
0.717916	1.77045	2.175286e-08
0.719571	1.770321	2.169993e-08
0.721229	1.770192	2.164688e-08
0.722891	1.770063	2.159370e-08
0.724557	1.769935	2.154041e-08
0.726227	1.769808	2.148699e-08
0.727901	1.769681	2.143345e-08
0.729579	1.769555	2.137978e-08
0.73126	1.76943	2.132599e-08
0.732945	1.769305	2.127208e-08
0.734635	1.769181	2.121804e-08
0.736328	1.769058	2.116388e-08
0.738025	1.768935	2.110959e-08
0.739726	1.768812	2.105518e-08
0.74143	1.76869	2.100064e-08
0.743139	1.768569	2.094598e-08
0.744852	1.768448	2.089119e-08
0.746569	1.768328	2.083627e-08
0.748289	1.768209	2.078123e-08
0.750014	1.76809	2.072606e-08
0.751742	1.767971	2.067076e-08
0.753475	1.767854	2.061534e-08
0.755211	1.767736	2.055979e-08
0.756952	1.767619	2.050411e-08
0.758696	1.767503	2.044830e-08
0.760445	1.767388	2.039237e-08
0.762198	1.767272	2.033630e-08
0.763954	1.767158	2.028011e-08
0.765715	1.767044	2.022378e-08
0.76748	1.76693	2.016733e-08
0.769248	1.766817	2.011074e-08
0.771021	1.766705	2.005403e-08
0.772798	1.766593	1.999718e-08
0.774579	1.766481	1.994021e-08
0.776364	1.76637	1.988310e-08
0.778154	1.76626	1.982586e-08
0.779947	1.76615	1.976849e-08
0.781745	1.76604	1.971099e-08
0.783546	1.765931	1.965335e-08
0.785352	1.765823	1.959558e-08
0.787162	1.765715	1.953768e-08
0.788976	1.765608	1.947965e-08
0.790795	1.765501	1.942148e-08
0.792617	1.765394	1.936318e-08
0.794444	1.765288	1.930474e-08
0.796275	1.765182	1.924617e-08
0.79811	1.765077	1.918746e-08
0.799949	1.764973	1.912862e-08
0.8	1.76497	1.912700e-08
0.801793	1.764868	1.892671e-08
0.803641	1.764765	1.872030e-08
0.805493	1.764661	1.851342e-08
0.80735	1.764558	1.830606e-08
0.80921	1.764456	1.809822e-08
0.811075	1.764354	1.788990e-08
0.812944	1.764253	1.768110e-08
0.814818	1.764152	1.747183e-08
0.816696	1.764051	1.726206e-08
0.818578	1.763951	1.705182e-08
0.820465	1.763851	1.684109e-08
0.822356	1.763752	1.662987e-08
0.824251	1.763653	1.641817e-08
0.826151	1.763554	1.620598e-08
0.828055	1.763456	1.599330e-08
0.829963	1.763359	1.578013e-08
0.831876	1.763261	1.556647e-08
0.833793	1.763164	1.535232e-08
0.835715	1.763068	1.513768e-08
0.837641	1.762972	1.492253e-08
0.839571	1.762876	1.470690e-08
0.841506	1.762781	1.449076e-08
0.843446	1.762686	1.427413e-08
0.845389	1.762592	1.405700e-08
0.847338	1.762498	1.383937e-08
0.849291	1.762404	1.362124e-08
0.85	1.76237	1.354200e-08
0.851248	1.762311	1.356187e-08
0.85321	1.762218	1.359310e-08
0.855176	1.762125	1.362441e-08
0.857147	1.762033	1.365578e-08
0.859123	1.761941	1.368723e-08
0.861103	1.76185	1.371875e-08
0.863087	1.761759	1.375035e-08
0.865076	1.761668	1.378202e-08
0.86707	1.761578	1.381376e-08
0.869068	1.761488	1.384557e-08
0.871071	1.761398	1.387746e-08
0.873079	1.761309	1.390942e-08
0.875091	1.76122	1.394145e-08
0.877108	1.761131	1.397356e-08
0.879129	1.761043	1.400574e-08
0.881155	1.760955	1.403799e-08
0.883186	1.760868	1.407032e-08
0.885222	1.760781	1.410273e-08
0.887262	1.760694	1.413521e-08
0.889307	1.760607	1.416776e-08
0.891356	1.760521	1.420039e-08
0.893411	1.760435	1.423310e-08
0.89547	1.760349	1.426588e-08
0.897533	1.760264	1.429873e-08
0.899602	1.760179	1.433166e-08
0.9	1.760163	1.433800e-08
0.901675	1.760095	1.436470e-08
0.903753	1.76001	1.439783e-08
0.905836	1.759926	1.443103e-08
0.907924	1.759842	1.446431e-08
0.910016	1.759759	1.449766e-08
0.912114	1.759676	1.453109e-08
0.914216	1.759593	1.456460e-08
0.916323	1.759511	1.459818e-08
0.918435	1.759429	1.463185e-08
0.920551	1.759347	1.466559e-08
0.922673	1.759265	1.469941e-08
0.924799	1.759184	1.473330e-08
0.926931	1.759103	1.476728e-08
0.929067	1.759022	1.480133e-08
0.931208	1.758941	1.483546e-08
0.933354	1.758861	1.486967e-08
0.935505	1.758781	1.490396e-08
0.937661	1.758702	1.493832e-08
0.939822	1.758622	1.497277e-08
0.941988	1.758543	1.500730e-08
0.944159	1.758464	1.504190e-08
0.946335	1.758386	1.507659e-08
0.948516	1.758307	1.511135e-08
0.95	1.758254	1.513500e-08
0.950703	1.758229	1.514618e-08
0.952894	1.758151	1.518107e-08
0.95509	1.758074	1.521603e-08
0.957291	1.757997	1.525107e-08
0.959497	1.75792	1.528619e-08
0.961708	1.757843	1.532140e-08
0.963925	1.757766	1.535668e-08
0.966146	1.75769	1.539205e-08
0.968373	1.757614	1.542750e-08
0.970605	1.757538	1.546303e-08
0.972842	1.757462	1.549864e-08
0.975084	1.757387	1.553434e-08
0.977331	1.757312	1.557011e-08
0.979584	1.757237	1.560597e-08
0.981841	1.757162	1.564191e-08
0.984104	1.757088	1.567794e-08
0.986372	1.757014	1.571405e-08
0.988645	1.75694	1.575024e-08
0.990924	1.756866	1.578651e-08
0.993208	1.756792	1.582287e-08
0.995497	1.756719	1.585931e-08
0.997791	1.756646	1.589583e-08
1	1.756576	1.593100e-08
1.00009	1.756573	1.593245e-08
1.0024	1.7565	1.596917e-08
1.00471	1.756428	1.600598e-08
1.00702	1.756356	1.604287e-08
1.00934	1.756284	1.607985e-08
1.01167	1.756212	1.611692e-08
1.014	1.75614	1.615407e-08

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: —

ZF51 (CDGM): all datasets

ZF (Dense flint)

ZF51 n,k 0.4047–1.014 µm default

About ZF51 (CDGM)

CDGM Glass Co., Ltd. is a leading manufacturer of optical glass based in China. The company offers a wide range of optical materials, including various types of crown and flint glasses, which are used in applications ranging from consumer electronics to advanced scientific instruments. Known for their capacity for large-scale production as well as their commitment to quality, CDGM has positioned itself as a major player in both domestic and international markets. Their optical glass products are often used in lenses, prisms, and other optical components that require high precision and reliability. With an extensive catalog that caters to different optical requirements, such as high refractive indices or low dispersion, CDGM serves a diverse clientele including manufacturers of microscopes, telescopes, cameras, and other high-precision optical equipment. The company's expertise in glass science and its ability to provide customized solutions have made it a go-to supplier for businesses seeking high-quality, reliable optical glass.

More about ZF51 (CDGM) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/specs/cdgm/optical/ZF51.yml
ID: ds_de39c097b1a7
API: /v1/datasets/ds_de39c097b1a7

Plot