Optical constants

Refractive index of MoO₃ (Molybdenum trioxide)

Vos et al. 2016: Thin film; n,k 0.019–1 µm

Data: tabulated nk
Range: 0.1907–0.9993 µm
Points: 511
State: amorphous
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.11145
Extinction coefficient k: 0.0119801

Permittivity ε₁: 4.45807
Permittivity ε₂: 0.0505905

Absorption coefficient α: 2562.05 cm⁻¹
Penetration depth δ = λ/(2πk): 7806.26 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.695352 µm⁻¹

Group index n_g: 2.52004
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — 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

# MoO3 (Molybdenum trioxide): Vos et al. 2016: Thin film; n,k 0.019–1 µm
moo3 = ls.fetch_refractiveindex("main", "MoO3", "Vos", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(moo3.range_nm)  # (190.654, 999.28) nm
eps = moo3.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_7aa28758392a/lightsmith"
moo3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(moo3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (moo3/vos-2016).

# ... load moo3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=moo3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=999, 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

Amorphous MoO₃ deposited with ALD at 200 °C.

References

M. Vos, B. Macco, N. F. W. Thissen, A. A. Bol, W. M. M. Kessels. Atomic layer deposition of molybdenum oxide from (N^tBu)₂(NMe₂)₂Mo and O₂ plasma. J. Vac. Scia. Technol. A 34, 01A103 (2016)

doi:10.1116/1.4930161 Atomic layer deposition of molybdenum oxide from (N <i>t</i> Bu)2(NMe2)2Mo and O2 plasma, Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films (2015)

Cite

Martijn F. J. Vos, Bart Macco, Nick F. W. Thissen, Ageeth A. Bol and W. M. M. (Erwin) Kessels. Atomic layer deposition of molybdenum oxide from (N <i>t</i> Bu)2(NMe2)2Mo and O2 plasma. Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, 34, 01A103 (2015), doi:10.1116/1.4930161; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

511 rows as published

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

MoO3 (Molybdenum trioxide), Vos et al. 2016: Thin film; n,k 0.019–1 µm: n and k versus wavelength
λ (µm)	n	k
0.190654	1.793462	0.790551
0.192245	1.793433	0.79531
0.193836	1.794053	0.800597
0.195427	1.795339	0.806342
0.197018	1.797305	0.812479
0.198609	1.799957	0.818942
0.2002	1.803299	0.825667
0.201791	1.80733	0.832597
0.203382	1.812044	0.839673
0.204973	1.817434	0.846841
0.206564	1.823488	0.854051
0.208156	1.830193	0.861254
0.209747	1.837534	0.868405
0.211338	1.845493	0.875461
0.21293	1.85405	0.882384
0.214522	1.863186	0.889136
0.216113	1.87288	0.895682
0.217705	1.883108	0.901991
0.219297	1.893848	0.908032
0.220888	1.905076	0.913779
0.22248	1.916768	0.919205
0.224072	1.9289	0.924286
0.225664	1.941447	0.929002
0.227256	1.954384	0.933332
0.228848	1.967686	0.937257
0.23044	1.981327	0.940761
0.232033	1.995283	0.943828
0.233625	2.009527	0.946443
0.235217	2.024034	0.948595
0.236809	2.038779	0.950272
0.238402	2.053735	0.951464
0.239994	2.068878	0.952162
0.241587	2.084182	0.952359
0.243179	2.09962	0.952047
0.244772	2.115168	0.951222
0.246365	2.1308	0.94988
0.247957	2.146489	0.948018
0.24955	2.162212	0.945634
0.251143	2.177943	0.942727
0.252736	2.193656	0.939299
0.254329	2.209328	0.935351
0.255922	2.224933	0.930886
0.257515	2.240447	0.925909
0.259108	2.255846	0.920424
0.260701	2.271107	0.914438
0.262294	2.286207	0.907959
0.263887	2.301124	0.900995
0.26548	2.315835	0.893556
0.267073	2.330318	0.885654
0.268667	2.344555	0.877299
0.27026	2.358525	0.868506
0.271853	2.372208	0.859286
0.273447	2.385588	0.849657
0.27504	2.398646	0.839632
0.276634	2.411367	0.829229
0.278227	2.423735	0.818464
0.279821	2.435736	0.807355
0.281414	2.447357	0.795921
0.283008	2.458587	0.78418
0.284602	2.469414	0.772152
0.286195	2.47983	0.759856
0.287789	2.489825	0.747313
0.289383	2.499392	0.734542
0.290977	2.508526	0.721564
0.292571	2.517221	0.708399
0.294165	2.525474	0.695068
0.295758	2.533282	0.68159
0.297352	2.540643	0.667986
0.298946	2.547557	0.654275
0.30054	2.554026	0.640478
0.302134	2.56005	0.626612
0.303729	2.565631	0.612697
0.305323	2.570775	0.598752
0.306917	2.575484	0.584793
0.308511	2.579764	0.570838
0.310105	2.583621	0.556904
0.311699	2.587062	0.543006
0.313294	2.590094	0.52916
0.314888	2.592725	0.515381
0.316482	2.594962	0.501682
0.318077	2.596816	0.488076
0.319671	2.598295	0.474577
0.321265	2.599409	0.461195
0.32286	2.600168	0.447942
0.324454	2.600582	0.434829
0.326049	2.600662	0.421865
0.327643	2.600419	0.409059
0.329237	2.599862	0.396419
0.330832	2.599003	0.383953
0.332427	2.597853	0.371668
0.334021	2.596423	0.35957
0.335616	2.594723	0.347665
0.33721	2.592765	0.335958
0.338805	2.590559	0.324455
0.3404	2.588116	0.313158
0.341994	2.585447	0.302071
0.343589	2.582561	0.291198
0.345184	2.57947	0.280541
0.346778	2.576183	0.270102
0.348373	2.572709	0.259883
0.349968	2.56906	0.249885
0.351563	2.565243	0.240109
0.353157	2.561269	0.230557
0.354752	2.557146	0.221227
0.356347	2.552883	0.21212
0.357942	2.548489	0.203236
0.359536	2.543972	0.194575
0.361131	2.53934	0.186135
0.362726	2.5346	0.177915
0.364321	2.529761	0.169915
0.365916	2.524829	0.162133
0.367511	2.519812	0.154567
0.369106	2.514716	0.147215
0.370701	2.509548	0.140077
0.372295	2.504316	0.133149
0.37389	2.499023	0.12643
0.375485	2.493678	0.119918
0.37708	2.488285	0.11361
0.378675	2.48285	0.107505
0.38027	2.477378	0.101598
0.381865	2.471875	0.095889
0.38346	2.466345	0.090375
0.385055	2.460794	0.085053
0.38665	2.455225	0.079921
0.388245	2.449645	0.074975
0.38984	2.444056	0.070214
0.391435	2.438463	0.065635
0.39303	2.43287	0.061235
0.394625	2.427281	0.057011
0.39622	2.4217	0.052961
0.397815	2.41613	0.049083
0.39941	2.410575	0.045373
0.401005	2.405039	0.041829
0.402599	2.399525	0.038449
0.404194	2.394036	0.03523
0.405789	2.388575	0.032169
0.407384	2.383146	0.029264
0.408979	2.377751	0.026513
0.410574	2.372395	0.023912
0.412169	2.367078	0.02146
0.413764	2.361806	0.019154
0.415359	2.35658	0.016992
0.416954	2.351403	0.014971
0.418549	2.34628	0.013089
0.420144	2.341212	0.011345
0.421739	2.336202	0.009734
0.423334	2.331254	0.008256
0.424929	2.326372	0.006908
0.426523	2.321557	0.005688
0.428118	2.316815	0.004594
0.429713	2.312148	0.003624
0.431308	2.307561	0.002776
0.432903	2.303058	0.002047
0.434498	2.298645	0.001436
0.436093	2.294327	0.000941
0.437687	2.290111	0.000559
0.439282	2.286007	0.000289
0.440877	2.282027	0.000129
0.442472	2.278196	7.8e-05
0.444066	2.27456	8.4e-05
0.445661	2.271073	9.2e-05
0.447256	2.267706	0.0001
0.448851	2.264444	0.000109
0.450445	2.261277	0.000118
0.45204	2.258195	0.000128
0.453635	2.255194	0.00014
0.455229	2.252266	0.000151
0.456824	2.249408	0.000164
0.458419	2.246615	0.000178
0.460013	2.243884	0.000193
0.461608	2.24121	0.000209
0.463202	2.238592	0.000226
0.464797	2.236026	0.000244
0.466391	2.23351	0.000264
0.467986	2.231042	0.000285
0.46958	2.228619	0.000307
0.471175	2.226239	0.000331
0.472769	2.223902	0.000356
0.474363	2.221604	0.000383
0.475958	2.219345	0.000412
0.477552	2.217122	0.000442
0.479146	2.214935	0.000474
0.480741	2.212781	0.000508
0.482335	2.210661	0.000544
0.483929	2.208572	0.000583
0.485523	2.206514	0.000623
0.487117	2.204485	0.000665
0.488712	2.202484	0.00071
0.490306	2.200511	0.000758
0.4919	2.198565	0.000807
0.493494	2.196644	0.00086
0.495088	2.194748	0.000915
0.496682	2.192876	0.000973
0.498276	2.191027	0.001034
0.49987	2.1892	0.001098
0.501464	2.187396	0.001165
0.503058	2.185612	0.001235
0.504651	2.18385	0.001308
0.506245	2.182107	0.001385
0.507839	2.180383	0.001465
0.509433	2.178679	0.001549
0.511026	2.176992	0.001636
0.51262	2.175324	0.001727
0.514214	2.173673	0.001823
0.515807	2.172039	0.001922
0.517401	2.170421	0.002025
0.518994	2.168819	0.002132
0.520588	2.167233	0.002244
0.522181	2.165663	0.00236
0.523774	2.164107	0.00248
0.525368	2.162565	0.002606
0.526961	2.161038	0.002735
0.528554	2.159525	0.00287
0.530148	2.158025	0.003009
0.531741	2.156539	0.003154
0.533334	2.155066	0.003303
0.534927	2.153605	0.003458
0.53652	2.152158	0.003618
0.538113	2.150722	0.003783
0.539706	2.149299	0.003954
0.541299	2.147887	0.00413
0.542892	2.146487	0.004311
0.544484	2.145099	0.004499
0.546077	2.143722	0.004692
0.54767	2.142357	0.004891
0.549263	2.141002	0.005096
0.550855	2.139658	0.005307
0.552448	2.138325	0.005524
0.55404	2.137002	0.005747
0.555633	2.13569	0.005977
0.557225	2.134389	0.006212
0.558818	2.133098	0.006454
0.56041	2.131817	0.006703
0.562002	2.130546	0.006958
0.563595	2.129285	0.007219
0.565187	2.128034	0.007487
0.566779	2.126793	0.007762
0.568371	2.125561	0.008043
0.569963	2.12434	0.008331
0.571555	2.123128	0.008625
0.573147	2.121926	0.008927
0.574739	2.120733	0.009235
0.57633	2.11955	0.00955
0.577922	2.118377	0.009872
0.579514	2.117213	0.010201
0.581105	2.116059	0.010537
0.582697	2.114914	0.01088
0.584288	2.113779	0.01123
0.58588	2.112653	0.011586
0.587471	2.111537	0.01195
0.589063	2.11043	0.012321
0.590654	2.109333	0.012698
0.592245	2.108246	0.013083
0.593836	2.107167	0.013475
0.595427	2.106099	0.013873
0.597018	2.10504	0.014279
0.598609	2.103991	0.014691
0.6002	2.102951	0.015111
0.601791	2.101921	0.015537
0.603382	2.1009	0.01597
0.604972	2.099889	0.01641
0.606563	2.098888	0.016857
0.608153	2.097896	0.017311
0.609744	2.096915	0.017772
0.611334	2.095943	0.018239
0.612925	2.094981	0.018713
0.614515	2.094028	0.019193
0.616105	2.093086	0.01968
0.617695	2.092154	0.020174
0.619285	2.091232	0.020674
0.620875	2.090319	0.02118
0.622465	2.089417	0.021693
0.624055	2.088525	0.022212
0.625645	2.087642	0.022737
0.627235	2.086771	0.023269
0.628824	2.085909	0.023806
0.630414	2.085057	0.02435
0.632003	2.084216	0.024899
0.633593	2.083385	0.025454
0.635182	2.082565	0.026015
0.636771	2.081754	0.026582
0.638361	2.080955	0.027154
0.63995	2.080165	0.027732
0.641539	2.079386	0.028315
0.643128	2.078618	0.028904
0.644716	2.07786	0.029498
0.646305	2.077113	0.030097
0.647894	2.076376	0.030701
0.649483	2.07565	0.031309
0.651071	2.074935	0.031923
0.65266	2.07423	0.032541
0.654248	2.073536	0.033164
0.655836	2.072853	0.033792
0.657425	2.072181	0.034424
0.659013	2.071519	0.03506
0.660601	2.070868	0.0357
0.662189	2.070228	0.036345
0.663777	2.069599	0.036993
0.665365	2.06898	0.037646
0.666952	2.068372	0.038302
0.66854	2.067776	0.038961
0.670128	2.06719	0.039624
0.671715	2.066615	0.040291
0.673302	2.066051	0.04096
0.67489	2.065497	0.041633
0.676477	2.064955	0.042309
0.678064	2.064423	0.042988
0.679651	2.063902	0.043669
0.681238	2.063392	0.044354
0.682825	2.062893	0.04504
0.684412	2.062405	0.045729
0.685998	2.061928	0.046421
0.687585	2.061461	0.047114
0.689171	2.061005	0.04781
0.690758	2.06056	0.048507
0.692344	2.060126	0.049207
0.69393	2.059703	0.049908
0.695517	2.05929	0.05061
0.697102	2.058888	0.051314
0.698688	2.058496	0.052019
0.700274	2.058116	0.052726
0.70186	2.057745	0.053433
0.703446	2.057386	0.054142
0.705031	2.057037	0.054851
0.706617	2.056698	0.055561
0.708202	2.05637	0.056272
0.709787	2.056053	0.056983
0.711372	2.055745	0.057694
0.712957	2.055449	0.058406
0.714542	2.055162	0.059117
0.716127	2.054886	0.059829
0.717712	2.054619	0.060541
0.719297	2.054363	0.061252
0.720881	2.054117	0.061963
0.722466	2.053882	0.062673
0.72405	2.053656	0.063383
0.725634	2.05344	0.064093
0.727218	2.053234	0.064801
0.728802	2.053038	0.065509
0.730386	2.052851	0.066216
0.73197	2.052675	0.066921
0.733554	2.052508	0.067625
0.735138	2.05235	0.068328
0.736721	2.052202	0.06903
0.738304	2.052064	0.06973
0.739888	2.051935	0.070429
0.741471	2.051815	0.071125
0.743054	2.051705	0.07182
0.744637	2.051603	0.072513
0.74622	2.051511	0.073205
0.747803	2.051428	0.073894
0.749385	2.051353	0.07458
0.750968	2.051288	0.075265
0.75255	2.051231	0.075947
0.754132	2.051183	0.076627
0.755715	2.051144	0.077304
0.757297	2.051114	0.077979
0.758879	2.051091	0.078651
0.76046	2.051078	0.07932
0.762042	2.051072	0.079986
0.763624	2.051075	0.080649
0.765205	2.051086	0.08131
0.766787	2.051105	0.081967
0.768368	2.051132	0.082621
0.769949	2.051167	0.083272
0.77153	2.05121	0.08392
0.773111	2.05126	0.084564
0.774692	2.051318	0.085205
0.776273	2.051384	0.085842
0.777853	2.051457	0.086476
0.779434	2.051538	0.087106
0.781014	2.051626	0.087733
0.782594	2.051721	0.088356
0.784174	2.051823	0.088975
0.785754	2.051933	0.08959
0.787334	2.052049	0.090201
0.788914	2.052172	0.090808
0.790493	2.052302	0.091412
0.792073	2.052439	0.092011
0.793652	2.052582	0.092606
0.795231	2.052732	0.093197
0.79681	2.052888	0.093784
0.798389	2.053051	0.094366
0.799968	2.053219	0.094945
0.801547	2.053394	0.095518
0.803125	2.053575	0.096088
0.804704	2.053762	0.096653
0.806282	2.053955	0.097214
0.80786	2.054154	0.09777
0.809438	2.054358	0.098322
0.811016	2.054568	0.098869
0.812594	2.054784	0.099412
0.814172	2.055005	0.09995
0.815749	2.055231	0.100483
0.817327	2.055463	0.101012
0.818904	2.0557	0.101536
0.820481	2.055942	0.102055
0.822058	2.056189	0.10257
0.823635	2.056441	0.103079
0.825212	2.056698	0.103585
0.826788	2.056959	0.104085
0.828365	2.057225	0.10458
0.829941	2.057496	0.105071
0.831517	2.057771	0.105557
0.833093	2.058051	0.106038
0.834669	2.058335	0.106514
0.836245	2.058624	0.106985
0.837821	2.058916	0.107451
0.839396	2.059213	0.107912
0.840972	2.059513	0.108369
0.842547	2.059818	0.10882
0.844122	2.060126	0.109267
0.845697	2.060439	0.109708
0.847272	2.060755	0.110145
0.848846	2.061074	0.110577
0.850421	2.061397	0.111003
0.851995	2.061723	0.111425
0.853569	2.062053	0.111842
0.855143	2.062387	0.112254
0.856717	2.062723	0.112661
0.858291	2.063063	0.113063
0.859865	2.063406	0.11346
0.861438	2.063751	0.113852
0.863012	2.0641	0.114239
0.864585	2.064451	0.114621
0.866158	2.064806	0.114998
0.867731	2.065163	0.11537
0.869304	2.065522	0.115738
0.870876	2.065885	0.1161
0.872449	2.066249	0.116458
0.874021	2.066617	0.11681
0.875593	2.066986	0.117158
0.877165	2.067358	0.117501
0.878737	2.067733	0.117839
0.880309	2.068109	0.118172
0.881881	2.068487	0.1185
0.883452	2.068868	0.118824
0.885023	2.06925	0.119142
0.886594	2.069635	0.119456
0.888165	2.070021	0.119765
0.889736	2.070409	0.12007
0.891307	2.070799	0.120369
0.892877	2.071191	0.120664
0.894448	2.071584	0.120954
0.896018	2.071978	0.121239
0.897588	2.072375	0.12152
0.899158	2.072772	0.121796
0.900727	2.073171	0.122067
0.902297	2.073572	0.122334
0.903866	2.073973	0.122596
0.905436	2.074376	0.122854
0.907005	2.07478	0.123107
0.908574	2.075185	0.123355
0.910142	2.075592	0.123599
0.911711	2.075999	0.123838
0.913279	2.076407	0.124073
0.914848	2.076816	0.124303
0.916416	2.077226	0.124529
0.917984	2.077637	0.124751
0.919551	2.078048	0.124968
0.921119	2.078461	0.125181
0.922687	2.078874	0.12539
0.924254	2.079287	0.125594
0.925821	2.079701	0.125794
0.927388	2.080116	0.125989
0.928955	2.080531	0.126181
0.930521	2.080947	0.126368
0.932088	2.081363	0.126551
0.933654	2.081779	0.126729
0.93522	2.082196	0.126904
0.936786	2.082613	0.127075
0.938352	2.08303	0.127241
0.939918	2.083447	0.127404
0.941483	2.083865	0.127562
0.943048	2.084283	0.127716
0.944613	2.084701	0.127867
0.946178	2.085118	0.128013
0.947743	2.085536	0.128156
0.949308	2.085954	0.128294
0.950872	2.086372	0.128429
0.952436	2.086789	0.12856
0.954	2.087207	0.128687
0.955564	2.087624	0.12881
0.957128	2.088041	0.12893
0.958691	2.088458	0.129046
0.960255	2.088874	0.129158
0.961818	2.089291	0.129266
0.963381	2.089707	0.129371
0.964944	2.090122	0.129472
0.966506	2.090537	0.12957
0.968069	2.090952	0.129664
0.969631	2.091367	0.129755
0.971193	2.09178	0.129842
0.972755	2.092194	0.129925
0.974317	2.092607	0.130005
0.975878	2.093019	0.130082
0.97744	2.09343	0.130155
0.979001	2.093841	0.130225
0.980562	2.094252	0.130292
0.982123	2.094661	0.130355
0.983683	2.095071	0.130415
0.985244	2.095479	0.130472
0.986804	2.095886	0.130526
0.988364	2.096293	0.130576
0.989924	2.096699	0.130624
0.991484	2.097105	0.130668
0.993043	2.097509	0.130709
0.994603	2.097913	0.130747
0.996162	2.098315	0.130782
0.997721	2.098717	0.130813
0.99928	2.099118	0.130842

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: —

MoO₃ (Molybdenum trioxide): all datasets

Crystal

Thin film

About MoO3 (Molybdenum trioxide)

Molybdenum trioxide (MoO₃) is a compound of molybdenum and oxygen. It appears as an odorless, light-colored crystalline solid. It is a primary component in the production of molybdenum metal. In the field of optics, thin films of MoO₃ can be deposited on various substrates, serving as layers in certain optoelectronic devices due to its semiconducting properties. The compound is also investigated for potential uses in energy storage and sensor applications. Additionally, its transparency to infrared radiation makes it a candidate for specific optical applications in the IR range.

More about MoO3 (Molybdenum trioxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/MoO3/nk/Vos.yml
ID: ds_7aa28758392a
API: /v1/datasets/ds_7aa28758392a

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