Optical constants

Refractive index of H-K12 (CDGM)

H-K12: 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: 1.53359
Extinction coefficient k: 1.40486e-08

Permittivity ε₁: 2.35189
Permittivity ε₂: 4.30896e-08

Absorption coefficient α: 0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk): 6.65683e+09 nm

Abbe number V_d: 55.47
Chromatic dispersion dn/dλ: -0.0495542 µm⁻¹

Group index n_g: 1.5627
Group velocity dispersion: 88.3175 fs²/mm

Dispersion parameter D: -481.819 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

# H-K12 (CDGM): H-K12
cdgm_h_k12 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k12.range_nm)  # (365, 1014) nm
eps = cdgm_h_k12.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_b2460bd76a65/lightsmith"
cdgm_h_k12 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cdgm_h_k12.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cdgm-h-k12/cdgm).

# ... load cdgm_h_k12 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cdgm_h_k12)],
    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} = 2.31506425 - 0.00827156166 λ^{2.0} + 0.0129535559 λ^{- 2.0} + 0.000268505199 λ^{- 4.0} - 5.46028268 \times 10^{-6} λ^{- 6.0} + 6.24325621 \times 10^{-7} λ^{- 8.0}

Valid from 0.365 to 1.014 µm.

Coefficients as stored

C_i	Value
C1	2.31506425
C2	-0.00827156166
C3	2.0
C4	0.0129535559
C5	-2.0
C6	0.000268505199
C7	-4.0
C8	-5.46028268e-06
C9	-6.0
C10	6.24325621e-07
C11	-8.0

Comments and conditions

Conditions

temperature: 293 K

Properties

thermal dispersion: type: formula A, coefficients: -1.57e-06 1.35e-08 -5.16e-11 7.91e-07 9.19e-10 0.086
nd: 1.533589
Vd: 55.469983
glass code: 534555
density: value: 2720
thermal expansion: value: 9.2e-06, temperature range: 243 343; value: 1.07e-05, temperature range: 293 573
dPgF: -0.0023

Thermo-optic coefficient

Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.94e-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

H-K12 (CDGM), H-K12: n and k versus wavelength
λ (µm)	n	k
0.365	1.55756	1.548600e-07
0.365936	1.557348	1.455086e-07
0.366874	1.557137	1.361332e-07
0.367815	1.556927	1.267337e-07
0.368758	1.556719	1.173102e-07
0.369704	1.556512	1.078625e-07
0.37	1.556447	1.049000e-07
0.370651	1.556306	1.020461e-07
0.371602	1.556102	9.788262e-08
0.372555	1.555899	9.370851e-08
0.37351	1.555697	8.952370e-08
0.374468	1.555497	8.532816e-08
0.375428	1.555298	8.112186e-08
0.37639	1.5551	7.690477e-08
0.377356	1.554903	7.267687e-08
0.378323	1.554708	6.843813e-08
0.379293	1.554513	6.418853e-08
0.38	1.554373	6.109200e-08
0.380266	1.55432	6.029753e-08
0.381241	1.554129	5.738208e-08
0.382218	1.553938	5.445916e-08
0.383198	1.553749	5.152874e-08
0.384181	1.553561	4.859081e-08
0.385166	1.553374	4.564534e-08
0.386154	1.553188	4.269232e-08
0.387144	1.553003	3.973173e-08
0.388136	1.55282	3.676355e-08
0.389132	1.552637	3.378776e-08
0.39	1.552479	3.119100e-08
0.390129	1.552456	3.099398e-08
0.39113	1.552276	2.946988e-08
0.392133	1.552097	2.794188e-08
0.393138	1.551919	2.640996e-08
0.394146	1.551742	2.487411e-08
0.395157	1.551566	2.333432e-08
0.39617	1.551391	2.179059e-08
0.397186	1.551218	2.024289e-08
0.398204	1.551045	1.869123e-08
0.399225	1.550874	1.713559e-08
0.4	1.550745	1.595500e-08
0.400249	1.550703	1.592317e-08
0.401275	1.550534	1.579186e-08
0.402304	1.550365	1.566021e-08
0.403335	1.550198	1.552822e-08
0.40437	1.550032	1.539590e-08
0.405407	1.549866	1.526324e-08
0.406446	1.549702	1.513023e-08
0.407488	1.549538	1.499689e-08
0.408533	1.549376	1.486320e-08
0.409581	1.549215	1.472917e-08
0.410631	1.549054	1.459480e-08
0.411684	1.548895	1.446008e-08
0.412739	1.548736	1.432502e-08
0.413798	1.548578	1.418961e-08
0.414859	1.548422	1.405385e-08
0.415922	1.548266	1.391775e-08
0.416989	1.548111	1.378129e-08
0.418058	1.547957	1.364449e-08
0.41913	1.547804	1.350734e-08
0.42	1.547681	1.339600e-08
0.420205	1.547652	1.340252e-08
0.421282	1.547501	1.343689e-08
0.422362	1.547351	1.347135e-08
0.423445	1.547201	1.350590e-08
0.424531	1.547053	1.354054e-08
0.425619	1.546905	1.357526e-08
0.426711	1.546758	1.361007e-08
0.427805	1.546613	1.364498e-08
0.428902	1.546467	1.367997e-08
0.430002	1.546323	1.371505e-08
0.431104	1.54618	1.375022e-08
0.432209	1.546037	1.378548e-08
0.433318	1.545896	1.382084e-08
0.434429	1.545755	1.385628e-08
0.435543	1.545615	1.389181e-08
0.436659	1.545475	1.392744e-08
0.437779	1.545337	1.396315e-08
0.438902	1.545199	1.399896e-08
0.44	1.545066	1.403400e-08
0.440027	1.545062	1.403486e-08
0.441155	1.544926	1.407085e-08
0.442286	1.544791	1.410694e-08
0.44342	1.544656	1.414311e-08
0.444557	1.544523	1.417938e-08
0.445697	1.54439	1.421574e-08
0.44684	1.544257	1.425220e-08
0.447986	1.544126	1.428875e-08
0.449135	1.543995	1.432539e-08
0.450286	1.543865	1.436213e-08
0.451441	1.543736	1.439896e-08
0.452598	1.543607	1.443588e-08
0.453759	1.54348	1.447290e-08
0.454922	1.543353	1.451002e-08
0.456089	1.543226	1.454723e-08
0.457258	1.543101	1.458454e-08
0.458431	1.542976	1.462194e-08
0.459606	1.542852	1.465943e-08
0.46	1.54281	1.467200e-08
0.460785	1.542728	1.454663e-08
0.461966	1.542605	1.435783e-08
0.463151	1.542483	1.416854e-08
0.464338	1.542362	1.397877e-08
0.465529	1.542241	1.378851e-08
0.466722	1.542121	1.359777e-08
0.467919	1.542001	1.340653e-08
0.469119	1.541883	1.321481e-08
0.470322	1.541765	1.302259e-08
0.471528	1.541647	1.282988e-08
0.472737	1.54153	1.263668e-08
0.473949	1.541414	1.244298e-08
0.475164	1.541299	1.224878e-08
0.476382	1.541184	1.205409e-08
0.477604	1.54107	1.185889e-08
0.478829	1.540956	1.166320e-08
0.48	1.540848	1.147600e-08
0.480056	1.540843	1.147735e-08
0.481287	1.540731	1.150683e-08
0.482521	1.540619	1.153638e-08
0.483758	1.540508	1.156602e-08
0.484999	1.540398	1.159572e-08
0.486242	1.540288	1.162551e-08
0.487489	1.540178	1.165537e-08
0.488739	1.54007	1.168530e-08
0.489992	1.539962	1.171532e-08
0.491249	1.539854	1.174541e-08
0.492508	1.539747	1.177558e-08
0.493771	1.539641	1.180582e-08
0.495037	1.539535	1.183614e-08
0.496307	1.53943	1.186654e-08
0.497579	1.539325	1.189702e-08
0.498855	1.539221	1.192758e-08
0.5	1.539129	1.195500e-08
0.500134	1.539118	1.195820e-08
0.501416	1.539015	1.198885e-08
0.502702	1.538913	1.201958e-08
0.503991	1.538811	1.205039e-08
0.505283	1.538709	1.208127e-08
0.506579	1.538609	1.211224e-08
0.507878	1.538509	1.214328e-08
0.50918	1.538409	1.217441e-08
0.510486	1.53831	1.220561e-08
0.511795	1.538211	1.223689e-08
0.513107	1.538113	1.226826e-08
0.514423	1.538016	1.229970e-08
0.515742	1.537918	1.233122e-08
0.517064	1.537822	1.236283e-08
0.51839	1.537726	1.239452e-08
0.519719	1.53763	1.242628e-08
0.521052	1.537535	1.245813e-08
0.522388	1.537441	1.249006e-08
0.523727	1.537347	1.252208e-08
0.52507	1.537253	1.255417e-08
0.526416	1.53716	1.258635e-08
0.527766	1.537068	1.261861e-08
0.529119	1.536976	1.265095e-08
0.530476	1.536884	1.268338e-08
0.531836	1.536793	1.271589e-08
0.5332	1.536703	1.274848e-08
0.534567	1.536613	1.278115e-08
0.535938	1.536523	1.281391e-08
0.537312	1.536434	1.284675e-08
0.53869	1.536345	1.287968e-08
0.540071	1.536257	1.291269e-08
0.541456	1.536169	1.294579e-08
0.542844	1.536082	1.297897e-08
0.544236	1.535995	1.301224e-08
0.545631	1.535908	1.304559e-08
0.54703	1.535822	1.307903e-08
0.548433	1.535737	1.311255e-08
0.549839	1.535651	1.314616e-08
0.55	1.535642	1.315000e-08
0.551249	1.535567	1.317985e-08
0.552663	1.535482	1.321364e-08
0.55408	1.535399	1.324750e-08
0.5555	1.535315	1.328146e-08
0.556925	1.535232	1.331550e-08
0.558353	1.53515	1.334963e-08
0.559784	1.535067	1.338385e-08
0.56122	1.534986	1.341815e-08
0.562659	1.534904	1.345254e-08
0.564101	1.534823	1.348702e-08
0.565548	1.534743	1.352159e-08
0.566998	1.534663	1.355625e-08
0.568452	1.534583	1.359100e-08
0.569909	1.534504	1.362583e-08
0.571371	1.534425	1.366076e-08
0.572836	1.534346	1.369577e-08
0.574304	1.534268	1.373088e-08
0.575777	1.53419	1.376607e-08
0.577253	1.534113	1.380136e-08
0.578733	1.534036	1.383673e-08
0.580217	1.53396	1.387220e-08
0.581705	1.533883	1.390775e-08
0.583197	1.533807	1.394340e-08
0.584692	1.533732	1.397914e-08
0.586191	1.533657	1.401497e-08
0.587694	1.533582	1.405089e-08
0.589201	1.533508	1.408691e-08
0.590712	1.533434	1.412302e-08
0.592227	1.53336	1.415922e-08
0.593745	1.533287	1.419551e-08
0.595268	1.533214	1.423189e-08
0.596794	1.533141	1.426837e-08
0.598324	1.533069	1.430495e-08
0.599858	1.532997	1.434161e-08
0.6	1.532991	1.434500e-08
0.601396	1.532926	1.437840e-08
0.602938	1.532855	1.441529e-08
0.604484	1.532784	1.445227e-08
0.606034	1.532713	1.448934e-08
0.607588	1.532643	1.452651e-08
0.609146	1.532573	1.456378e-08
0.610708	1.532504	1.460114e-08
0.612274	1.532435	1.463859e-08
0.613844	1.532366	1.467614e-08
0.615418	1.532297	1.471379e-08
0.616996	1.532229	1.475154e-08
0.618578	1.532161	1.478938e-08
0.620164	1.532094	1.482732e-08
0.621754	1.532026	1.486536e-08
0.623348	1.53196	1.490349e-08
0.624947	1.531893	1.494172e-08
0.626549	1.531827	1.498005e-08
0.628156	1.531761	1.501848e-08
0.629766	1.531695	1.505701e-08
0.631381	1.53163	1.509563e-08
0.633	1.531565	1.513436e-08
0.634623	1.5315	1.517318e-08
0.63625	1.531435	1.521210e-08
0.637882	1.531371	1.525113e-08
0.639517	1.531307	1.529025e-08
0.641157	1.531244	1.532947e-08
0.642801	1.53118	1.536880e-08
0.644449	1.531117	1.540822e-08
0.646102	1.531055	1.544775e-08
0.647758	1.530992	1.548738e-08
0.649419	1.53093	1.552710e-08
0.65	1.530908	1.554100e-08
0.651084	1.530868	1.556691e-08
0.652754	1.530806	1.560681e-08
0.654427	1.530745	1.564682e-08
0.656105	1.530684	1.568692e-08
0.657788	1.530623	1.572713e-08
0.659474	1.530563	1.576744e-08
0.661165	1.530502	1.580785e-08
0.662861	1.530442	1.584837e-08
0.66456	1.530383	1.588899e-08
0.666264	1.530323	1.592971e-08
0.667973	1.530264	1.597054e-08
0.669685	1.530205	1.601148e-08
0.671402	1.530146	1.605252e-08
0.673124	1.530088	1.609366e-08
0.67485	1.53003	1.613491e-08
0.67658	1.529972	1.617627e-08
0.678315	1.529914	1.621773e-08
0.680054	1.529857	1.625930e-08
0.681798	1.5298	1.630097e-08
0.683546	1.529743	1.634276e-08
0.685299	1.529686	1.638464e-08
0.687056	1.52963	1.642664e-08
0.688818	1.529573	1.646874e-08
0.690584	1.529517	1.651096e-08
0.692355	1.529462	1.655328e-08
0.69413	1.529406	1.659571e-08
0.69591	1.529351	1.663824e-08
0.697694	1.529296	1.668089e-08
0.699483	1.529241	1.672365e-08
0.7	1.529225	1.673600e-08
0.701277	1.529186	1.676652e-08
0.703075	1.529132	1.680952e-08
0.704877	1.529078	1.685262e-08
0.706685	1.529024	1.689583e-08
0.708497	1.52897	1.693916e-08
0.710313	1.528917	1.698260e-08
0.712135	1.528863	1.702614e-08
0.713961	1.52881	1.706980e-08
0.715791	1.528758	1.711357e-08
0.717627	1.528705	1.715746e-08
0.719467	1.528653	1.720145e-08
0.721312	1.5286	1.724556e-08
0.723161	1.528548	1.728978e-08
0.725015	1.528497	1.733412e-08
0.726874	1.528445	1.737857e-08
0.728738	1.528394	1.742313e-08
0.730607	1.528342	1.746781e-08
0.73248	1.528291	1.751260e-08
0.734358	1.528241	1.755750e-08
0.736241	1.52819	1.760253e-08
0.738129	1.52814	1.764766e-08
0.740022	1.528089	1.769291e-08
0.741919	1.528039	1.773828e-08
0.743821	1.52799	1.778377e-08
0.745729	1.52794	1.782937e-08
0.747641	1.52789	1.787509e-08
0.749558	1.527841	1.792092e-08
0.75148	1.527792	1.796688e-08
0.753406	1.527743	1.801295e-08
0.755338	1.527695	1.805914e-08
0.757275	1.527646	1.810545e-08
0.759217	1.527598	1.815187e-08
0.761163	1.527549	1.819842e-08
0.763115	1.527501	1.824508e-08
0.765072	1.527454	1.829187e-08
0.767034	1.527406	1.833877e-08
0.769	1.527358	1.838580e-08
0.770972	1.527311	1.843294e-08
0.772949	1.527264	1.848021e-08
0.774931	1.527217	1.852760e-08
0.776918	1.52717	1.857510e-08
0.77891	1.527124	1.862274e-08
0.780907	1.527077	1.867049e-08
0.782909	1.527031	1.871836e-08
0.784917	1.526985	1.876636e-08
0.786929	1.526939	1.881448e-08
0.788947	1.526893	1.886273e-08
0.79097	1.526847	1.891110e-08
0.792998	1.526801	1.895959e-08
0.795032	1.526756	1.900820e-08
0.79707	1.526711	1.905695e-08
0.799114	1.526666	1.910581e-08
0.8	1.526646	1.912700e-08
0.801163	1.526621	1.899711e-08
0.803217	1.526576	1.876765e-08
0.805277	1.526531	1.853760e-08
0.807341	1.526487	1.830697e-08
0.809411	1.526442	1.807574e-08
0.811487	1.526398	1.784391e-08
0.813568	1.526354	1.761150e-08
0.815654	1.52631	1.737849e-08
0.817745	1.526266	1.714488e-08
0.819842	1.526223	1.691067e-08
0.821944	1.526179	1.667586e-08
0.824052	1.526136	1.644045e-08
0.826164	1.526093	1.620443e-08
0.828283	1.52605	1.596781e-08
0.830407	1.526007	1.573058e-08
0.832536	1.525964	1.549275e-08
0.834671	1.525921	1.525430e-08
0.836811	1.525878	1.501525e-08
0.838956	1.525836	1.477558e-08
0.841108	1.525794	1.453529e-08
0.843264	1.525751	1.429439e-08
0.845426	1.525709	1.405287e-08
0.847594	1.525667	1.381074e-08
0.849767	1.525625	1.356798e-08
0.85	1.525621	1.354200e-08
0.851946	1.525584	1.357299e-08
0.854131	1.525542	1.360776e-08
0.856321	1.5255	1.364263e-08
0.858517	1.525459	1.367758e-08
0.860718	1.525418	1.371263e-08
0.862925	1.525377	1.374776e-08
0.865137	1.525336	1.378299e-08
0.867356	1.525295	1.381830e-08
0.86958	1.525254	1.385371e-08
0.871809	1.525213	1.388920e-08
0.874045	1.525172	1.392479e-08
0.876286	1.525132	1.396047e-08
0.878533	1.525091	1.399624e-08
0.880785	1.525051	1.403210e-08
0.883044	1.525011	1.406806e-08
0.885308	1.524971	1.410410e-08
0.887578	1.524931	1.414024e-08
0.889854	1.524891	1.417647e-08
0.892135	1.524851	1.421280e-08
0.894423	1.524811	1.424921e-08
0.896716	1.524772	1.428572e-08
0.899016	1.524732	1.432233e-08
0.9	1.524715	1.433800e-08
0.901321	1.524693	1.435905e-08
0.903632	1.524653	1.439589e-08
0.905949	1.524614	1.443282e-08
0.908272	1.524575	1.446985e-08
0.910601	1.524536	1.450697e-08
0.912935	1.524497	1.454419e-08
0.915276	1.524458	1.458150e-08
0.917623	1.524419	1.461891e-08
0.919976	1.52438	1.465642e-08
0.922335	1.524342	1.469402e-08
0.9247	1.524303	1.473172e-08
0.927071	1.524265	1.476951e-08
0.929448	1.524226	1.480740e-08
0.931831	1.524188	1.484539e-08
0.93422	1.52415	1.488347e-08
0.936616	1.524112	1.492166e-08
0.939017	1.524073	1.495994e-08
0.941425	1.524035	1.499832e-08
0.943839	1.523997	1.503679e-08
0.946259	1.52396	1.507537e-08
0.948685	1.523922	1.511405e-08
0.95	1.523901	1.513500e-08
0.951118	1.523884	1.515280e-08
0.953557	1.523846	1.519162e-08
0.956002	1.523809	1.523055e-08
0.958453	1.523771	1.526957e-08
0.960911	1.523734	1.530870e-08
0.963374	1.523696	1.534792e-08
0.965845	1.523659	1.538725e-08
0.968321	1.523622	1.542667e-08
0.970804	1.523584	1.546620e-08
0.973293	1.523547	1.550583e-08
0.975789	1.52351	1.554556e-08
0.978291	1.523473	1.558539e-08
0.980799	1.523436	1.562532e-08
0.983314	1.523399	1.566536e-08
0.985835	1.523362	1.570550e-08
0.988363	1.523326	1.574574e-08
0.990897	1.523289	1.578609e-08
0.993438	1.523252	1.582653e-08
0.995985	1.523215	1.586709e-08
0.998539	1.523179	1.590774e-08
1	1.523158	1.593100e-08
1.0011	1.523142	1.594852e-08
1.00367	1.523106	1.598942e-08
1.00624	1.523069	1.603042e-08
1.00882	1.523033	1.607153e-08
1.01141	1.522996	1.611275e-08
1.014	1.52296	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: —

H-K12 (CDGM): all datasets

K (Crown)

H-K12 n,k 0.365–1.014 µm default

About H-K12 (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 H-K12 (CDGM) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/specs/cdgm/optical/H-K12.yml
ID: ds_b2460bd76a65
API: /v1/datasets/ds_b2460bd76a65

Plot