Optical constants

Refractive index of ZBAF51 (CDGM)

ZBAF51: n,k 0.365–1.014 µm

Data: formula 3 + tabulated k
Range: 0.365–1.014 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: 1.68272
Extinction coefficient k: 2.23480e-08

Permittivity ε₁: 2.83156
Permittivity ε₂: 7.52111e-08

Absorption coefficient α: 0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk): 4.18468e+09 nm

Abbe number V_d: 44.529
Chromatic dispersion dn/dλ: -0.0782566 µm⁻¹

Group index n_g: 1.72871
Group velocity dispersion: 146.382 fs²/mm

Dispersion parameter D: -798.593 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

# ZBAF51 (CDGM): ZBAF51
cdgm_zbaf51 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZBAF51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zbaf51.range_nm)  # (365, 1014) nm
eps = cdgm_zbaf51.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_32ce4f5c913e/lightsmith"
cdgm_zbaf51 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cdgm_zbaf51.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cdgm-zbaf51/cdgm).

# ... load cdgm_zbaf51 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cdgm_zbaf51)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, 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} = 2.7590164 - 0.0058180526 λ^{2.0} + 0.026609946 λ^{- 2.0} - 0.00075485994 λ^{- 4.0} + 0.00017640459 λ^{- 6.0} - 6.7271173 \times 10^{-6} λ^{- 8.0}

Valid from 0.365 to 1.014 µm.

Coefficients as stored

C_i	Value
C1	2.7590164
C2	-0.0058180526
C3	2.0
C4	0.026609946
C5	-2.0
C6	-0.00075485994
C7	-4.0
C8	0.00017640459
C9	-6.0
C10	-6.7271173e-06
C11	-8.0

Comments and conditions

Conditions

temperature: 293 K

Properties

thermal dispersion: type: formula A, coefficients: -1.51e-06 1.79e-08 -4.04e-11 7.85e-07 6.9e-11 0.221
nd: 1.682726
Vd: 44.528543
glass code: 683445
glass status: preferred
density: value: 4140
thermal expansion: value: 7.8e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF: 0.0004

Thermo-optic coefficient

Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.91e-07 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 418 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

ZBAF51 (CDGM), ZBAF51: n and k versus wavelength
λ (µm)	n	k
0.365	1.72299	8.913600e-07
0.365936	1.722615	8.272065e-07
0.366874	1.722241	7.628886e-07
0.367815	1.721871	6.984057e-07
0.368758	1.721502	6.337574e-07
0.369704	1.721137	5.689434e-07
0.37	1.721023	5.486200e-07
0.370651	1.720774	5.314584e-07
0.371602	1.720413	5.064225e-07
0.372555	1.720055	4.813224e-07
0.37351	1.7197	4.561579e-07
0.374468	1.719347	4.309289e-07
0.375428	1.718997	4.056352e-07
0.37639	1.718649	3.802767e-07
0.377356	1.718303	3.548531e-07
0.378323	1.71796	3.293644e-07
0.379293	1.717619	3.038103e-07
0.38	1.717373	2.851900e-07
0.380266	1.717281	2.820159e-07
0.381241	1.716945	2.703682e-07
0.382218	1.716611	2.586906e-07
0.383198	1.716279	2.469830e-07
0.384181	1.71595	2.352454e-07
0.385166	1.715624	2.234777e-07
0.386154	1.715299	2.116799e-07
0.387144	1.714977	1.998518e-07
0.388136	1.714657	1.879934e-07
0.389132	1.714339	1.761045e-07
0.39	1.714064	1.657300e-07
0.390129	1.714023	1.649255e-07
0.39113	1.71371	1.587025e-07
0.392133	1.713399	1.524635e-07
0.393138	1.71309	1.462086e-07
0.394146	1.712783	1.399375e-07
0.395157	1.712478	1.336505e-07
0.39617	1.712175	1.273472e-07
0.397186	1.711875	1.210279e-07
0.398204	1.711576	1.146923e-07
0.399225	1.711279	1.083405e-07
0.4	1.711056	1.035200e-07
0.400249	1.710985	1.028607e-07
0.401275	1.710693	1.001407e-07
0.402304	1.710402	9.741383e-08
0.403335	1.710114	9.467993e-08
0.40437	1.709827	9.193903e-08
0.405407	1.709543	8.919110e-08
0.406446	1.70926	8.643612e-08
0.407488	1.708979	8.367407e-08
0.408533	1.708701	8.090495e-08
0.409581	1.708424	7.812872e-08
0.410631	1.708149	7.534538e-08
0.411684	1.707876	7.255490e-08
0.412739	1.707604	6.975726e-08
0.413798	1.707335	6.695245e-08
0.414859	1.707067	6.414045e-08
0.415922	1.706802	6.132124e-08
0.416989	1.706538	5.849480e-08
0.418058	1.706275	5.566111e-08
0.41913	1.706015	5.282016e-08
0.42	1.705805	5.051400e-08
0.420205	1.705756	5.039348e-08
0.421282	1.705499	4.975860e-08
0.422362	1.705244	4.912209e-08
0.423445	1.70499	4.848395e-08
0.424531	1.704738	4.784417e-08
0.425619	1.704488	4.720275e-08
0.426711	1.70424	4.655969e-08
0.427805	1.703993	4.591497e-08
0.428902	1.703748	4.526861e-08
0.430002	1.703504	4.462059e-08
0.431104	1.703262	4.397090e-08
0.432209	1.703022	4.331955e-08
0.433318	1.702783	4.266653e-08
0.434429	1.702545	4.201184e-08
0.435543	1.70231	4.135547e-08
0.436659	1.702076	4.069741e-08
0.437779	1.701843	4.003767e-08
0.438902	1.701612	3.937623e-08
0.44	1.701388	3.872900e-08
0.440027	1.701382	3.871642e-08
0.441155	1.701154	3.819025e-08
0.442286	1.700928	3.766273e-08
0.44342	1.700702	3.713386e-08
0.444557	1.700479	3.660364e-08
0.445697	1.700256	3.607205e-08
0.44684	1.700036	3.553911e-08
0.447986	1.699816	3.500479e-08
0.449135	1.699598	3.446911e-08
0.450286	1.699382	3.393205e-08
0.451441	1.699166	3.339362e-08
0.452598	1.698953	3.285380e-08
0.453759	1.69874	3.231260e-08
0.454922	1.698529	3.177001e-08
0.456089	1.698319	3.122603e-08
0.457258	1.698111	3.068066e-08
0.458431	1.697904	3.013389e-08
0.459606	1.697698	2.958572e-08
0.46	1.697629	2.940200e-08
0.460785	1.697494	2.930119e-08
0.461966	1.69729	2.914937e-08
0.463151	1.697088	2.899716e-08
0.464338	1.696888	2.884455e-08
0.465529	1.696688	2.869156e-08
0.466722	1.69649	2.853818e-08
0.467919	1.696293	2.838440e-08
0.469119	1.696098	2.823023e-08
0.470322	1.695903	2.807566e-08
0.471528	1.69571	2.792070e-08
0.472737	1.695518	2.776533e-08
0.473949	1.695327	2.760957e-08
0.475164	1.695137	2.745342e-08
0.476382	1.694949	2.729686e-08
0.477604	1.694761	2.713990e-08
0.478829	1.694575	2.698253e-08
0.48	1.694399	2.683200e-08
0.480056	1.69439	2.681261e-08
0.481287	1.694206	2.638869e-08
0.482521	1.694023	2.596368e-08
0.483758	1.693842	2.553757e-08
0.484999	1.693661	2.511038e-08
0.486242	1.693482	2.468209e-08
0.487489	1.693303	2.425271e-08
0.488739	1.693126	2.382222e-08
0.489992	1.692949	2.339063e-08
0.491249	1.692774	2.295793e-08
0.492508	1.6926	2.252412e-08
0.493771	1.692427	2.208920e-08
0.495037	1.692255	2.165317e-08
0.496307	1.692084	2.121601e-08
0.497579	1.691914	2.077774e-08
0.498855	1.691745	2.033834e-08
0.5	1.691594	1.994400e-08
0.500134	1.691577	1.993756e-08
0.501416	1.69141	1.987595e-08
0.502702	1.691244	1.981419e-08
0.503991	1.691079	1.975227e-08
0.505283	1.690915	1.969019e-08
0.506579	1.690752	1.962795e-08
0.507878	1.690589	1.956555e-08
0.50918	1.690428	1.950299e-08
0.510486	1.690268	1.944027e-08
0.511795	1.690109	1.937738e-08
0.513107	1.68995	1.931434e-08
0.514423	1.689793	1.925114e-08
0.515742	1.689636	1.918777e-08
0.517064	1.689481	1.912424e-08
0.51839	1.689326	1.906055e-08
0.519719	1.689172	1.899670e-08
0.521052	1.689019	1.893268e-08
0.522388	1.688867	1.886850e-08
0.523727	1.688716	1.880415e-08
0.52507	1.688565	1.873964e-08
0.526416	1.688416	1.867496e-08
0.527766	1.688267	1.861012e-08
0.529119	1.688119	1.854511e-08
0.530476	1.687973	1.847993e-08
0.531836	1.687826	1.841459e-08
0.5332	1.687681	1.834908e-08
0.534567	1.687537	1.828340e-08
0.535938	1.687393	1.821755e-08
0.537312	1.68725	1.815154e-08
0.53869	1.687108	1.808535e-08
0.540071	1.686967	1.801900e-08
0.541456	1.686826	1.795247e-08
0.542844	1.686687	1.788577e-08
0.544236	1.686548	1.781891e-08
0.545631	1.68641	1.775187e-08
0.54703	1.686272	1.768466e-08
0.548433	1.686136	1.761728e-08
0.549839	1.686	1.754972e-08
0.55	1.685984	1.754200e-08
0.551249	1.685865	1.770166e-08
0.552663	1.68573	1.788233e-08
0.55408	1.685597	1.806346e-08
0.5555	1.685464	1.824505e-08
0.556925	1.685332	1.842711e-08
0.558353	1.6852	1.860964e-08
0.559784	1.68507	1.879264e-08
0.56122	1.68494	1.897610e-08
0.562659	1.68481	1.916004e-08
0.564101	1.684682	1.934444e-08
0.565548	1.684554	1.952932e-08
0.566998	1.684427	1.971468e-08
0.568452	1.6843	1.990050e-08
0.569909	1.684174	2.008681e-08
0.571371	1.684049	2.027359e-08
0.572836	1.683925	2.046085e-08
0.574304	1.683801	2.064860e-08
0.575777	1.683678	2.083682e-08
0.577253	1.683555	2.102553e-08
0.578733	1.683433	2.121472e-08
0.580217	1.683312	2.140439e-08
0.581705	1.683192	2.159455e-08
0.583197	1.683072	2.178520e-08
0.584692	1.682952	2.197634e-08
0.586191	1.682834	2.216797e-08
0.587694	1.682716	2.236009e-08
0.589201	1.682598	2.255270e-08
0.590712	1.682482	2.274580e-08
0.592227	1.682365	2.293940e-08
0.593745	1.68225	2.313350e-08
0.595268	1.682135	2.332810e-08
0.596794	1.68202	2.352319e-08
0.598324	1.681907	2.371878e-08
0.599858	1.681793	2.391488e-08
0.6	1.681783	2.393300e-08
0.601396	1.681681	2.398871e-08
0.602938	1.681569	2.405024e-08
0.604484	1.681457	2.411193e-08
0.606034	1.681347	2.417377e-08
0.607588	1.681236	2.423577e-08
0.609146	1.681127	2.429793e-08
0.610708	1.681017	2.436025e-08
0.612274	1.680909	2.442273e-08
0.613844	1.680801	2.448537e-08
0.615418	1.680693	2.454817e-08
0.616996	1.680586	2.461113e-08
0.618578	1.68048	2.467425e-08
0.620164	1.680374	2.473754e-08
0.621754	1.680269	2.480099e-08
0.623348	1.680164	2.486460e-08
0.624947	1.68006	2.492837e-08
0.626549	1.679956	2.499231e-08
0.628156	1.679853	2.505641e-08
0.629766	1.67975	2.512067e-08
0.631381	1.679648	2.518510e-08
0.633	1.679546	2.524970e-08
0.634623	1.679445	2.531446e-08
0.63625	1.679344	2.537938e-08
0.637882	1.679244	2.544447e-08
0.639517	1.679144	2.550973e-08
0.641157	1.679045	2.557516e-08
0.642801	1.678947	2.564076e-08
0.644449	1.678848	2.570652e-08
0.646102	1.678751	2.577245e-08
0.647758	1.678653	2.583855e-08
0.649419	1.678557	2.590482e-08
0.65	1.678523	2.592800e-08
0.651084	1.67846	2.584989e-08
0.652754	1.678365	2.572962e-08
0.654427	1.678269	2.560905e-08
0.656105	1.678174	2.548816e-08
0.657788	1.67808	2.536697e-08
0.659474	1.677986	2.524547e-08
0.661165	1.677893	2.512365e-08
0.662861	1.677799	2.500152e-08
0.66456	1.677707	2.487908e-08
0.666264	1.677615	2.475633e-08
0.667973	1.677523	2.463326e-08
0.669685	1.677432	2.450987e-08
0.671402	1.677341	2.438617e-08
0.673124	1.677251	2.426215e-08
0.67485	1.677161	2.413781e-08
0.67658	1.677071	2.401316e-08
0.678315	1.676982	2.388818e-08
0.680054	1.676893	2.376288e-08
0.681798	1.676805	2.363727e-08
0.683546	1.676717	2.351133e-08
0.685299	1.67663	2.338506e-08
0.687056	1.676543	2.325848e-08
0.688818	1.676456	2.313157e-08
0.690584	1.67637	2.300433e-08
0.692355	1.676284	2.287677e-08
0.69413	1.676199	2.274888e-08
0.69591	1.676114	2.262066e-08
0.697694	1.676029	2.249212e-08
0.699483	1.675945	2.236324e-08
0.7	1.675921	2.232600e-08
0.701277	1.675861	2.228516e-08
0.703075	1.675778	2.222764e-08
0.704877	1.675695	2.216997e-08
0.706685	1.675612	2.211215e-08
0.708497	1.67553	2.205419e-08
0.710313	1.675448	2.199607e-08
0.712135	1.675366	2.193781e-08
0.713961	1.675285	2.187939e-08
0.715791	1.675205	2.182083e-08
0.717627	1.675124	2.176212e-08
0.719467	1.675044	2.170326e-08
0.721312	1.674964	2.164424e-08
0.723161	1.674885	2.158508e-08
0.725015	1.674806	2.152576e-08
0.726874	1.674728	2.146629e-08
0.728738	1.674649	2.140667e-08
0.730607	1.674572	2.134689e-08
0.73248	1.674494	2.128696e-08
0.734358	1.674417	2.122688e-08
0.736241	1.67434	2.116665e-08
0.738129	1.674264	2.110626e-08
0.740022	1.674187	2.104571e-08
0.741919	1.674112	2.098501e-08
0.743821	1.674036	2.092415e-08
0.745729	1.673961	2.086314e-08
0.747641	1.673886	2.080197e-08
0.749558	1.673812	2.074065e-08
0.75148	1.673738	2.067917e-08
0.753406	1.673664	2.061753e-08
0.755338	1.67359	2.055573e-08
0.757275	1.673517	2.049377e-08
0.759217	1.673444	2.043166e-08
0.761163	1.673372	2.036938e-08
0.763115	1.6733	2.030695e-08
0.765072	1.673228	2.024435e-08
0.767034	1.673156	2.018160e-08
0.769	1.673085	2.011868e-08
0.770972	1.673014	2.005560e-08
0.772949	1.672943	1.999236e-08
0.774931	1.672873	1.992896e-08
0.776918	1.672803	1.986540e-08
0.77891	1.672733	1.980167e-08
0.780907	1.672664	1.973778e-08
0.782909	1.672595	1.967373e-08
0.784917	1.672526	1.960951e-08
0.786929	1.672457	1.954513e-08
0.788947	1.672389	1.948058e-08
0.79097	1.672321	1.941587e-08
0.792998	1.672253	1.935099e-08
0.795032	1.672186	1.928594e-08
0.79707	1.672119	1.922073e-08
0.799114	1.672052	1.915535e-08
0.8	1.672023	1.912700e-08
0.801163	1.671985	1.899711e-08
0.803217	1.671919	1.876765e-08
0.805277	1.671853	1.853760e-08
0.807341	1.671787	1.830697e-08
0.809411	1.671722	1.807574e-08
0.811487	1.671657	1.784391e-08
0.813568	1.671592	1.761150e-08
0.815654	1.671527	1.737849e-08
0.817745	1.671463	1.714488e-08
0.819842	1.671398	1.691067e-08
0.821944	1.671335	1.667586e-08
0.824052	1.671271	1.644045e-08
0.826164	1.671208	1.620443e-08
0.828283	1.671145	1.596781e-08
0.830407	1.671082	1.573058e-08
0.832536	1.671019	1.549275e-08
0.834671	1.670957	1.525430e-08
0.836811	1.670895	1.501525e-08
0.838956	1.670833	1.477558e-08
0.841108	1.670771	1.453529e-08
0.843264	1.67071	1.429439e-08
0.845426	1.670649	1.405287e-08
0.847594	1.670588	1.381074e-08
0.849767	1.670527	1.356798e-08
0.85	1.670521	1.354200e-08
0.851946	1.670467	1.385248e-08
0.854131	1.670407	1.420094e-08
0.856321	1.670347	1.455030e-08
0.858517	1.670287	1.490055e-08
0.860718	1.670228	1.525171e-08
0.862925	1.670169	1.560376e-08
0.865137	1.67011	1.595672e-08
0.867356	1.670051	1.631058e-08
0.86958	1.669992	1.666535e-08
0.871809	1.669934	1.702102e-08
0.874045	1.669876	1.737761e-08
0.876286	1.669818	1.773512e-08
0.878533	1.669761	1.809354e-08
0.880785	1.669703	1.845288e-08
0.883044	1.669646	1.881314e-08
0.885308	1.669589	1.917433e-08
0.887578	1.669532	1.953644e-08
0.889854	1.669476	1.989948e-08
0.892135	1.669419	2.026345e-08
0.894423	1.669363	2.062835e-08
0.896716	1.669307	2.099419e-08
0.899016	1.669252	2.136097e-08
0.9	1.669228	2.151800e-08
0.901321	1.669196	2.134939e-08
0.903632	1.669141	2.105436e-08
0.905949	1.669086	2.075857e-08
0.908272	1.669031	2.046203e-08
0.910601	1.668976	2.016472e-08
0.912935	1.668921	1.986666e-08
0.915276	1.668867	1.956782e-08
0.917623	1.668813	1.926823e-08
0.919976	1.668759	1.896786e-08
0.922335	1.668705	1.866672e-08
0.9247	1.668652	1.836481e-08
0.927071	1.668598	1.806213e-08
0.929448	1.668545	1.775867e-08
0.931831	1.668492	1.745443e-08
0.93422	1.66844	1.714942e-08
0.936616	1.668387	1.684362e-08
0.939017	1.668335	1.653703e-08
0.941425	1.668282	1.622966e-08
0.943839	1.66823	1.592150e-08
0.946259	1.668178	1.561256e-08
0.948685	1.668127	1.530282e-08
0.95	1.668099	1.513500e-08
0.951118	1.668075	1.515280e-08
0.953557	1.668024	1.519162e-08
0.956002	1.667973	1.523055e-08
0.958453	1.667922	1.526957e-08
0.960911	1.667871	1.530870e-08
0.963374	1.66782	1.534792e-08
0.965845	1.66777	1.538725e-08
0.968321	1.667719	1.542667e-08
0.970804	1.667669	1.546620e-08
0.973293	1.667619	1.550583e-08
0.975789	1.667569	1.554556e-08
0.978291	1.66752	1.558539e-08
0.980799	1.66747	1.562532e-08
0.983314	1.667421	1.566536e-08
0.985835	1.667371	1.570550e-08
0.988363	1.667322	1.574574e-08
0.990897	1.667274	1.578609e-08
0.993438	1.667225	1.582653e-08
0.995985	1.667176	1.586709e-08
0.998539	1.667128	1.590774e-08
1	1.6671	1.593100e-08
1.0011	1.66708	1.594852e-08
1.00367	1.667031	1.598942e-08
1.00624	1.666983	1.603042e-08
1.00882	1.666936	1.607153e-08
1.01141	1.666888	1.611275e-08
1.014	1.66684	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: —

ZBAF51 (CDGM): all datasets

ZBAF (Dense barium flint)

ZBAF51 n,k 0.365–1.014 µm default

About ZBAF51 (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 ZBAF51 (CDGM) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/specs/cdgm/optical/ZBAF51.yml
ID: ds_32ce4f5c913e
API: /v1/datasets/ds_32ce4f5c913e

Plot