Optical constants

Refractive index of Ce (Cerium)

Fernández-Perea et al. 2008: n,k 0.00103–0.207 µm

Data: tabulated nk
Range: 0.001032–0.2066 µm
Points: 1265
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.98425
Extinction coefficient k: 0.00745831

Permittivity ε₁: 0.968692
Permittivity ε₂: 0.0146817

Absorption coefficient α: 64194.5 cm⁻¹
Penetration depth δ = λ/(2πk): 311.553 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -6.98807 µm⁻¹

Group index n_g: 1.08628
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 84.9207 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

# Ce (Cerium): Fernández-Perea et al. 2008: n,k 0.00103–0.207 µm
ce = ls.fetch_refractiveindex("main", "Ce", "Fernandez-Perea", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ce.range_nm)  # (1.03238, 206.639) nm
eps = ce.eps([14.6])  # 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_a1b7fad0f41b/lightsmith"
ce = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ce.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ce/fernandez-perea-2008).

# ... load ce as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ce)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=2, stop_nm=206, 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.

Comments and conditions

Density: 6.771 g/cm³. Film deposited at room temperature.

References

M. Fernández-Perea, J. A. Aznárez, J. I. Larruquert, J. A. Méndez, L. Poletto, D. Garoli, A. M. Malvezzi, A. Giglia, S.Nannarone. Transmittance and optical constants of Ce films in the 6-1200eV spectral range. J. Appl. Phys. 103, 073501 (2008) (Numerical data kindly provided by Juan Larruquert)

doi:10.1063/1.2901137 Transmittance and optical constants of Ce films in the 6–1200eV spectral range, Journal of Applied Physics (2008)

Cite

Mónica Fernández-Perea et al.. Transmittance and optical constants of Ce films in the 6–1200eV spectral range. Journal of Applied Physics, 103, 073501 (2008), doi:10.1063/1.2901137; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1265 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

Ce (Cerium), Fernández-Perea et al. 2008: n,k 0.00103–0.207 µm: n and k versus wavelength
λ (µm)	n	k
0.00103238	0.99947037	0.000463787
0.001037525	0.99947112	0.000482
0.001038394	0.99947152	0.000485
0.001039264	0.99947226	0.00049
0.001040136	0.99947459	0.000496
0.001041009	0.99947881	0.000502
0.001041884	0.9994853	0.000508
0.00104276	0.999494	0.000512
0.001043638	0.9995044	0.000514
0.001044517	0.99951545	0.000512
0.001045398	0.99952582	0.000507
0.00104628	0.99953401	0.000498
0.001047164	0.99953828	0.000487
0.001048049	0.99953878	0.000477
0.001048936	0.99953702	0.000469
0.001049824	0.99953444	0.000463
0.001050713	0.9995309	0.000457
0.001051605	0.99952704	0.000454
0.001052497	0.99952371	0.000451
0.001053392	0.99951986	0.000448
0.001054287	0.99951596	0.000447
0.001055185	0.99951278	0.000446
0.001059694	0.99950017	0.000446
0.001064242	0.99949092	0.000449
0.001068829	0.99948409	0.000453
0.001073456	0.99947859	0.000457
0.001078123	0.99947351	0.000461
0.001082831	0.9994689	0.000466
0.001087581	0.99946496	0.000471
0.001092372	0.99946133	0.000476
0.001097205	0.9994577	0.000481
0.001102082	0.99945441	0.000487
0.001107002	0.99945195	0.000493
0.001111966	0.99944954	0.000498
0.001116975	0.99944725	0.000504
0.001122029	0.99944512	0.000509
0.001127129	0.99944229	0.000514
0.001132276	0.99943987	0.000521
0.00113747	0.99943838	0.000527
0.001142711	0.99943643	0.000532
0.001148002	0.9994339	0.000538
0.001153341	0.99943182	0.000545
0.001158731	0.99943061	0.000552
0.001164171	0.99942963	0.000558
0.001169662	0.99942839	0.000564
0.001175206	0.99942697	0.00057
0.001180802	0.99942525	0.000576
0.001186452	0.99942376	0.000583
0.001192156	0.99942244	0.000589
0.001197915	0.99941953	0.000594
0.00120373	0.9994163	0.000603
0.001209602	0.99941447	0.000612
0.001215531	0.99941332	0.000621
0.001221519	0.99941252	0.00063
0.001227566	0.99941178	0.000639
0.001233674	0.99941132	0.000649
0.001239842	0.99941153	0.0006595
0.001242327	0.99941187	0.000664
0.001244821	0.99941272	0.000669
0.001246072	0.999414	0.000672
0.001247326	0.99941536	0.000673
0.001249841	0.99941688	0.000676
0.001252366	0.99941816	0.0006785
0.001254901	0.99941835	0.00068
0.001257446	0.99941756	0.000683
0.001260002	0.99941695	0.000687
0.001262568	0.99941652	0.000691
0.001265145	0.99941639	0.000696
0.001267732	0.99941683	0.000701
0.00127033	0.99941846	0.000707
0.001272938	0.99942102	0.000711
0.001275557	0.99942326	0.000714
0.001278187	0.99942446	0.000716
0.001280828	0.99942483	0.000719
0.00128348	0.99942471	0.000722
0.001286143	0.99942502	0.000727
0.001288817	0.99942627	0.000731
0.001291502	0.99942724	0.000734
0.001294198	0.99942737	0.000737
0.001296906	0.9994272	0.000741
0.001299625	0.99942705	0.000745
0.001302355	0.99942637	0.000749
0.001305097	0.99942586	0.000755
0.00130785	0.99942623	0.000761
0.001310615	0.99942788	0.000768
0.001313392	0.99943137	0.000774
0.00131618	0.99943538	0.000777
0.001318981	0.99943748	0.000777
0.001321793	0.99943645	0.000777
0.001324617	0.99943411	0.00078
0.001327454	0.99943159	0.000783
0.001330302	0.99942868	0.000787
0.001333163	0.99942632	0.000792
0.001336037	0.99942501	0.000796
0.001338922	0.99942286	0.000796
0.00134182	0.9994152	0.000791
0.001344731	0.99940051	0.000789
0.001347654	0.9993805	0.00079
0.001348387	0.99937422	0.000791
0.001349121	0.99936801	0.000794
0.001349855	0.9993622	0.000796
0.00135059	0.9993564	0.000799
0.001351326	0.9993511	0.000802
0.001352063	0.99934637	0.000805
0.001352801	0.99934197	0.000807
0.001353539	0.99933814	0.000809
0.001354278	0.99933428	0.000808
0.001355018	0.99932859	0.000805
0.001355759	0.99932035	0.000801
0.001356501	0.99931038	0.000798
0.001357243	0.99929764	0.000792
0.001357987	0.99928112	0.000788
0.001358731	0.99926176	0.000785
0.001359476	0.99923978	0.000784
0.001360221	0.99921486	0.000784
0.001360968	0.99918675	0.000787
0.001361715	0.99915667	0.000794
0.001362464	0.99912428	0.0008025
0.001363213	0.99909043	0.000817
0.001363962	0.99905522	0.000832
0.001364713	0.99901702	0.000851
0.001365465	0.99897591	0.000874
0.001366217	0.99893133	0.000902
0.00136697	0.99888303	0.000937
0.001367724	0.99883297	0.000983
0.001368479	0.99878487	0.00104
0.001369235	0.99874379	0.001108
0.001369991	0.99870859	0.001173
0.001370748	0.99866574	0.001229
0.001371506	0.99860184	0.00129
0.001372265	0.9985161	0.001379
0.001373025	0.99842255	0.001516
0.001373786	0.99833214	0.001695
0.001374548	0.99825464	0.001936
0.00137531	0.99820857	0.002248
0.001376073	0.99824059	0.002671
0.001376837	0.99844975	0.003207
0.001377602	0.99893036	0.003735
0.001378368	0.9996286	0.003994
0.001379134	1.0003632	0.003923
0.001379902	1.0010341	0.003648
0.00138067	1.0014912	0.003037
0.001381439	1.0016462	0.002468
0.001382209	1.0016887	0.00212
0.00138298	1.0017402	0.001783
0.001383752	1.0017431	0.001387
0.001384525	1.0016264	0.000975
0.001385298	1.0014012	0.000672
0.001386073	1.0011475	0.000506
0.001386848	1.0009237	0.000429
0.001387624	1.0007422	0.000392
0.001388401	1.000594	0.000372
0.001389179	1.0004684	0.00036
0.001389957	1.0003573	0.000352
0.001390737	1.0002562	0.000349
0.001391517	1.0001616	0.000348
0.001392299	1.0000708	0.000351
0.001393081	0.99998163	0.000357
0.001393864	0.99989208	0.000368
0.001394648	0.99980209	0.000387
0.001395433	0.99971223	0.000414
0.001396218	0.99962531	0.000453
0.001397005	0.99954519	0.000499
0.001397792	0.99946789	0.000541
0.001398581	0.9993792	0.000574
0.00139937	0.99926294	0.00061
0.00140016	0.99911216	0.000674
0.001400951	0.99893396	0.000794
0.001401743	0.99874126	0.000987
0.001402536	0.99856067	0.001291
0.00140333	0.99844711	0.001733
0.001404124	0.99848576	0.002321
0.00140492	0.99881443	0.003035
0.001405716	0.99953701	0.003642
0.001406514	1.0004838	0.003728
0.001407312	1.0013433	0.003344
0.001408111	1.0018285	0.002546
0.001408911	1.0019316	0.001927
0.001409712	1.001873	0.001466
0.001410514	1.00174	0.00112
0.001411317	1.0015794	0.000888
0.001412121	1.0014336	0.000742
0.001412925	1.001318	0.000634
0.001413731	1.0012215	0.000535
0.001414537	1.0011223	0.000435
0.001415345	1.0010146	0.000362
0.001416153	1.0009137	0.000321
0.001416962	1.0008263	0.000292
0.001417772	1.0007494	0.000273
0.001418583	1.000683	0.000262
0.001419395	1.0006261	0.000254
0.001420208	1.0005762	0.000248
0.001421022	1.000532	0.000243
0.001421837	1.0004923	0.000239
0.001422653	1.0004561	0.000235
0.001423469	1.0004226	0.000232
0.001424287	1.0003919	0.00023
0.001425106	1.0003637	0.000228
0.001425925	1.0003372	0.000226
0.001426746	1.0003125	0.000225
0.001427567	1.0002897	0.000224
0.001428389	1.0002684	0.000223
0.001429213	1.0002482	0.000222
0.001430037	1.0002291	0.000221
0.001430862	1.0002109	0.00022
0.001431688	1.0001933	0.000219
0.001432515	1.0001767	0.000219
0.001433343	1.0001608	0.000218
0.001434172	1.0001455	0.000218
0.001435002	1.0001311	0.000218
0.001435833	1.0001176	0.000218
0.001436665	1.0001044	0.000217
0.001437498	1.0000913	0.000217
0.001438332	1.0000789	0.000217
0.001439166	1.000067	0.000217
0.001440002	1.0000556	0.000217
0.001440839	1.0000445	0.000217
0.001441677	1.0000338	0.000217
0.001442515	1.0000235	0.000217
0.001443355	1.0000135	0.000217
0.001444196	1.0000037	0.000217
0.001445037	0.99999423	0.000217
0.00144588	0.99998497	0.000217
0.001446723	0.99997592	0.000217
0.001447568	0.99996702	0.000217
0.001448413	0.99995812	0.000217
0.00144926	0.99994977	0.000218
0.001450107	0.99994197	0.000218
0.001450956	0.9999341	0.000218
0.001451805	0.99992626	0.000218
0.001452656	0.9999184	0.000218
0.001453507	0.99991032	0.000218
0.00145436	0.99990237	0.000219
0.001455213	0.99989477	0.00022
0.001456068	0.99988781	0.000222
0.001456923	0.99988208	0.000224
0.00145778	0.99987723	0.000225
0.001458637	0.99987259	0.000225
0.001459496	0.99986752	0.000224
0.001460356	0.99986184	0.000223
0.001461216	0.99985565	0.000222
0.001462078	0.99984908	0.0002215
0.00146294	0.99984284	0.000222
0.001463804	0.99983703	0.000222
0.001464668	0.99983123	0.000222
0.001465534	0.99982543	0.000222
0.001466401	0.9998195	0.000222
0.001467268	0.999814	0.000223
0.001468137	0.99980893	0.000223
0.001469007	0.99980323	0.0002225
0.001469878	0.99979789	0.000224
0.00147075	0.9997932	0.000224
0.001471622	0.99978821	0.000224
0.001472496	0.99978295	0.000224
0.001473371	0.99977802	0.000225
0.001474247	0.99977335	0.000225
0.001475124	0.99976904	0.000226
0.001476002	0.99976471	0.000225
0.001479525	0.9997455	0.000226
0.001483064	0.99972765	0.000228
0.001486621	0.99971193	0.000231
0.001490195	0.99969704	0.000231
0.001493785	0.99968184	0.000232
0.001497394	0.99966698	0.000233
0.001501019	0.99965294	0.000235
0.001504662	0.9996396	0.000236
0.001508323	0.99962621	0.000237
0.001512002	0.99961337	0.000239
0.001515699	0.99960094	0.00024
0.001519414	0.99958887	0.000242
0.001523147	0.99957709	0.000243
0.001526899	0.99956558	0.000245
0.001530669	0.99955426	0.000246
0.001534458	0.99954302	0.000248
0.001538265	0.99953249	0.00025
0.001542092	0.99952195	0.000251
0.001545937	0.99951133	0.000253
0.001549802	0.99950122	0.000255
0.001553687	0.99949161	0.000257
0.00155759	0.99948188	0.000258
0.001561514	0.99947205	0.00026
0.001565457	0.9994628	0.000262
0.00156942	0.99945343	0.000263
0.001573403	0.99944393	0.000265
0.001577407	0.99943498	0.000267
0.001581431	0.99942586	0.000268
0.001585476	0.99941654	0.00027
0.001589541	0.99940757	0.000272
0.001593627	0.99939888	0.000274
0.001597734	0.99939056	0.000276
0.001601863	0.99938216	0.000277
0.001606013	0.99937307	0.000278
0.001610184	0.99936385	0.00028
0.001614377	0.99935493	0.000282
0.001618593	0.99934607	0.000284
0.00162283	0.99933709	0.000286
0.001627089	0.99932848	0.000289
0.001631371	0.99932011	0.000291
0.001635675	0.99931194	0.000294
0.001640002	0.99930406	0.000296
0.001644353	0.99929582	0.000298
0.001648726	0.99928795	0.000301
0.001653122	0.99928063	0.000303
0.001657543	0.9992727	0.000304
0.001661986	0.99926429	0.000306
0.001666454	0.99925599	0.000308
0.001670946	0.99924766	0.00031
0.001675462	0.9992392	0.000312
0.001680003	0.99923038	0.000314
0.001684568	0.99922157	0.000317
0.001689158	0.99921301	0.00032
0.001693773	0.99920516	0.000324
0.001698414	0.99919808	0.000327
0.001703079	0.9991907	0.000329
0.001707771	0.99918343	0.000332
0.001712489	0.99917588	0.000333
0.001717233	0.99916744	0.000335
0.001722003	0.99915756	0.000336
0.001726799	0.99914974	0.000344
0.001731623	0.99914401	0.000345
0.001736473	0.999137	0.000347
0.001741351	0.99912974	0.000348
0.001746256	0.99912048	0.000347
0.001751189	0.99910546	0.000345
0.00175615	0.99909639	0.000364
0.001761139	0.99909331	0.000363
0.001766157	0.99908539	0.000365
0.001771203	0.99907794	0.00037
0.001776278	0.99907138	0.0003725
0.001781382	0.9990643	0.000375
0.001786516	0.99905667	0.000377
0.001791679	0.99904846	0.0003795
0.001796872	0.99904049	0.000383
0.001802096	0.99903297	0.000386
0.00180735	0.99902526	0.0003885
0.001812634	0.9990175	0.0003915
0.00181795	0.99900936	0.0003935
0.001823297	0.99900063	0.0003965
0.001828675	0.99899283	0.000401
0.001834086	0.99898526	0.000403
0.001839528	0.99897701	0.000406
0.001845003	0.99896882	0.000409
0.00185051	0.9989606	0.000412
0.001856051	0.99895231	0.000415
0.001861624	0.9989439	0.000418
0.001867232	0.99893522	0.000421
0.001872873	0.99892679	0.000425
0.001878548	0.99891848	0.000428
0.001884258	0.99891029	0.000432
0.001890003	0.99890234	0.000435
0.001895783	0.99889407	0.000438
0.001901598	0.99888563	0.000441
0.001907449	0.99887703	0.000444
0.001913336	0.99886827	0.000447
0.00191926	0.99885927	0.00045
0.00192522	0.99884988	0.000453
0.001931218	0.99884053	0.000457
0.001937253	0.99883082	0.00046
0.001943326	0.99882182	0.000466
0.001949437	0.99881347	0.000469
0.001955587	0.99880448	0.000473
0.001961775	0.99879564	0.000477
0.001968003	0.99878694	0.000481
0.001974271	0.99877855	0.000485
0.001980578	0.99877008	0.000488
0.001986926	0.99876125	0.000491
0.001993315	0.99875159	0.000493
0.001999745	0.99874105	0.000496
0.002006217	0.99872984	0.000499
0.00201273	0.99871767	0.000503
0.002019286	0.99870603	0.00051
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0.079350845	0.84073911	0.225845061
0.079990005	0.82492145	0.236031591
0.080641066	0.80939567	0.245860798
0.081302173	0.7952026	0.258405636
0.081974968	0.78007714	0.266136408
0.082657723	0.7633192	0.279677949
0.083352507	0.74769781	0.294601608
0.084058729	0.73625582	0.314874908
0.084777368	0.72492532	0.324811866
0.085509344	0.71125262	0.342337738
0.08625029	0.699402	0.359643041
0.087006997	0.6871149	0.376395371
0.087776727	0.67318318	0.394968865
0.08856045	0.65744346	0.417250942
0.089358553	0.65003678	0.456031421
0.090170712	0.65118222	0.480612208
0.090997969	0.65264846	0.50590628
0.094465006	0.66502805	0.588380099
0.099187985	0.69344157	0.681640936
0.101212077	0.69963625	0.696585216
0.103320587	0.68432957	0.716318356
0.105518278	0.6921389	0.808597704
0.107813556	0.72710856	0.837314924
0.110206991	0.75118544	0.865986224
0.112711873	0.77212064	0.89468852
0.11533327	0.79233802	0.923390816
0.118079279	0.81261525	0.952090816
0.120958767	0.83333064	0.980786224
0.123983072	0.85471045	1.009489668
0.127162004	0.87686931	1.038188864
0.130508737	0.89991278	1.066892194
0.134037104	0.92394658	1.095601148
0.137758984	0.94899195	1.124290816
0.141695145	0.97512071	1.152992423
0.145862737	1.002389	1.181693227
0.150283372	1.0308544	1.2103969
0.154979382	1.0605667	1.239094949
0.159978565	1.0915694	1.26779426
0.165311919	1.1239226	1.296498278
0.171011469	1.1576913	1.325194145
0.177119357	1.1929987	1.353895867
0.183679516	1.2300029	1.382596786
0.190744346	1.2690821	1.411297819
0.198373906	1.3113567	1.43999713
0.206638625	1.3595125	1.468694375

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: —

Ce (Cerium): all datasets

Fernández-Perea et al. 2008: n,k 0.00103–0.207 µm n,k 0.001032–0.2066 µm default

About Ce (Cerium)

Cerium (Ce) is a soft, ductile, and silvery-white metal that is the most abundant of the rare-earth elements. It typically exists in two oxidation states: Ce³⁺ and Ce⁴⁺, making it a powerful reducing agent and an interesting component in various optical, catalytic, and electronic applications. In particular, cerium oxide (CeO₂) finds use in catalytic converters, solid oxide fuel cells, and chemical mechanical planarization processes due to its ability to switch between the two oxidation states. Cerium-doped materials are also of considerable interest in the fields of luminescence and scintillation, where they serve as dopants in phosphors and scintillator crystals. Methods for obtaining high-purity cerium include solvent extraction and ion-exchange techniques. While cerium is not as toxic as other heavy metals, proper handling and disposal methods are still advised. Ongoing research aims to exploit cerium's unique redox behavior and electron structure for new applications in environmental remediation, energy storage, and advanced manufacturing.

More about Ce (Cerium) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Ce/nk/Fernandez-Perea.yml
ID: ds_a1b7fad0f41b
API: /v1/datasets/ds_a1b7fad0f41b

Plot