Optical constants

Refractive index of PbMoO₄ (Lead Molybdate)

Malitson 1978: n(e) 0.44–1.08 µm

Data: formula 1
Range: 0.44–1.08 µm
Optical axis: e
Licence: CC0-1.0

Uniaxial crystal, axes: oe

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.27736
Extinction coefficient k: 0

Permittivity ε₁: 5.18637
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 15.773
Chromatic dispersion dn/dλ: -0.397527 µm⁻¹

Group index n_g: 2.51095
Group velocity dispersion: 886.004 fs²/mm

Dispersion parameter D: -4833.62 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

# PbMoO4 (Lead Molybdate): Malitson 1978: n(e) 0.44–1.08 µm
pbmoo4 = ls.fetch_refractiveindex("main", "PbMoO4", "Malitson-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pbmoo4.range_nm)  # (440, 1080) nm
eps = pbmoo4.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_e9b31d6c6a67/lightsmith"
pbmoo4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(pbmoo4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (pbmoo4/malitson-1978-e).

# ... load pbmoo4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=pbmoo4)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=440, 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"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_e9b31d6c6a67/lightsmith?model=drude_lorentz"
pbmoo4_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

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

Sellmeier (formula 1), λ in µm

n^{2} - 1 = \frac{3.52555 λ^{2}}{λ^{2} - {0.1795}^{2}} + \frac{0.2066 λ^{2}}{λ^{2} - {0.32537}^{2}}

Valid from 0.44 to 1.08 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	3.52555
C3	0.1795
C4	0.2066
C5	0.32537

Comments and conditions

Extraordinary ray (e)

Conditions

direction: e

Notes on the source data (kept exactly as published):

no primary reference in the source file

References

I. H. Malitson, as cited in Handbook of Optics, 3rd edition, Vol. 4. McGraw-Hill 2009. Data fit by Handbook of Optics.

Cite

Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 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

PbMoO4 (Lead Molybdate), Malitson 1978: n(e) 0.44–1.08 µm: n and k versus wavelength
λ (µm)	n
0.44	2.384395
0.440991	2.383085
0.441985	2.381787
0.442981	2.380501
0.443979	2.379226
0.444979	2.377963
0.445982	2.376712
0.446986	2.375471
0.447993	2.374242
0.449003	2.373023
0.450014	2.371815
0.451028	2.370618
0.452044	2.369431
0.453063	2.368254
0.454084	2.367087
0.455107	2.365931
0.456132	2.364784
0.45716	2.363646
0.45819	2.362518
0.459222	2.3614
0.460257	2.360291
0.461294	2.359191
0.462333	2.3581
0.463375	2.357018
0.464419	2.355944
0.465465	2.35488
0.466514	2.353824
0.467565	2.352776
0.468618	2.351737
0.469674	2.350706
0.470732	2.349683
0.471793	2.348668
0.472856	2.347661
0.473921	2.346662
0.474989	2.34567
0.476059	2.344687
0.477131	2.34371
0.478206	2.342742
0.479284	2.34178
0.480364	2.340826
0.481446	2.339879
0.482531	2.338939
0.483618	2.338007
0.484707	2.337081
0.485799	2.336162
0.486894	2.33525
0.487991	2.334344
0.48909	2.333446
0.490192	2.332553
0.491297	2.331668
0.492404	2.330789
0.493513	2.329916
0.494625	2.329049
0.495739	2.328189
0.496856	2.327334
0.497976	2.326486
0.499098	2.325644
0.500222	2.324808
0.501349	2.323978
0.502479	2.323153
0.503611	2.322335
0.504745	2.321522
0.505883	2.320715
0.507022	2.319913
0.508165	2.319117
0.50931	2.318326
0.510457	2.317541
0.511607	2.316761
0.51276	2.315987
0.513915	2.315218
0.515073	2.314454
0.516233	2.313695
0.517396	2.312941
0.518562	2.312193
0.51973	2.311449
0.520901	2.31071
0.522075	2.309977
0.523251	2.309248
0.52443	2.308524
0.525612	2.307805
0.526796	2.307091
0.527983	2.306381
0.529172	2.305676
0.530365	2.304975
0.531559	2.30428
0.532757	2.303588
0.533957	2.302902
0.53516	2.302219
0.536366	2.301541
0.537575	2.300868
0.538786	2.300199
0.54	2.299534
0.541216	2.298873
0.542436	2.298217
0.543658	2.297564
0.544883	2.296916
0.54611	2.296272
0.547341	2.295632
0.548574	2.294996
0.54981	2.294365
0.551048	2.293737
0.55229	2.293113
0.553534	2.292493
0.554781	2.291876
0.556031	2.291264
0.557284	2.290656
0.55854	2.290051
0.559798	2.28945
0.561059	2.288853
0.562323	2.288259
0.56359	2.287669
0.56486	2.287083
0.566133	2.2865
0.567408	2.285921
0.568687	2.285345
0.569968	2.284773
0.571252	2.284205
0.572539	2.283639
0.573829	2.283078
0.575122	2.282519
0.576418	2.281964
0.577716	2.281413
0.579018	2.280864
0.580322	2.280319
0.58163	2.279778
0.58294	2.279239
0.584254	2.278704
0.58557	2.278172
0.586889	2.277643
0.588212	2.277117
0.589537	2.276594
0.590865	2.276075
0.592196	2.275558
0.59353	2.275045
0.594868	2.274534
0.596208	2.274027
0.597551	2.273522
0.598898	2.273021
0.600247	2.272522
0.601599	2.272027
0.602955	2.271534
0.604313	2.271044
0.605675	2.270557
0.607039	2.270073
0.608407	2.269591
0.609778	2.269113
0.611151	2.268637
0.612528	2.268164
0.613908	2.267693
0.615292	2.267226
0.616678	2.266761
0.618067	2.266298
0.61946	2.265839
0.620855	2.265381
0.622254	2.264927
0.623656	2.264475
0.625061	2.264026
0.62647	2.263579
0.627881	2.263135
0.629296	2.262693
0.630713	2.262254
0.632134	2.261818
0.633559	2.261383
0.634986	2.260952
0.636417	2.260522
0.637851	2.260095
0.639288	2.259671
0.640728	2.259249
0.642171	2.258829
0.643618	2.258412
0.645068	2.257997
0.646522	2.257584
0.647978	2.257173
0.649438	2.256765
0.650901	2.256359
0.652368	2.255956
0.653838	2.255554
0.655311	2.255155
0.656787	2.254758
0.658267	2.254363
0.65975	2.253971
0.661237	2.25358
0.662726	2.253192
0.664219	2.252806
0.665716	2.252422
0.667216	2.25204
0.668719	2.25166
0.670226	2.251283
0.671736	2.250907
0.673249	2.250533
0.674766	2.250162
0.676286	2.249792
0.67781	2.249425
0.679337	2.249059
0.680868	2.248696
0.682402	2.248334
0.683939	2.247975
0.68548	2.247617
0.687024	2.247261
0.688572	2.246907
0.690124	2.246556
0.691678	2.246206
0.693237	2.245858
0.694799	2.245511
0.696364	2.245167
0.697933	2.244825
0.699505	2.244484
0.701081	2.244145
0.702661	2.243808
0.704244	2.243473
0.705831	2.243139
0.707421	2.242808
0.709015	2.242478
0.710612	2.24215
0.712213	2.241824
0.713818	2.241499
0.715426	2.241176
0.717038	2.240855
0.718654	2.240535
0.720273	2.240218
0.721895	2.239902
0.723522	2.239587
0.725152	2.239275
0.726786	2.238963
0.728423	2.238654
0.730064	2.238346
0.731709	2.23804
0.733358	2.237735
0.73501	2.237433
0.736666	2.237131
0.738326	2.236831
0.739989	2.236533
0.741656	2.236237
0.743327	2.235941
0.745002	2.235648
0.746681	2.235356
0.748363	2.235065
0.750049	2.234776
0.751739	2.234489
0.753433	2.234203
0.75513	2.233919
0.756831	2.233636
0.758537	2.233354
0.760246	2.233074
0.761958	2.232796
0.763675	2.232518
0.765396	2.232243
0.76712	2.231968
0.768848	2.231696
0.770581	2.231424
0.772317	2.231154
0.774057	2.230886
0.775801	2.230618
0.777549	2.230352
0.7793	2.230088
0.781056	2.229825
0.782816	2.229563
0.78458	2.229303
0.786347	2.229044
0.788119	2.228786
0.789895	2.228529
0.791674	2.228274
0.793458	2.22802
0.795246	2.227768
0.797037	2.227517
0.798833	2.227267
0.800633	2.227018
0.802437	2.226771
0.804245	2.226525
0.806057	2.22628
0.807873	2.226036
0.809693	2.225794
0.811517	2.225553
0.813345	2.225313
0.815178	2.225074
0.817014	2.224837
0.818855	2.2246
0.8207	2.224365
0.822549	2.224132
0.824402	2.223899
0.82626	2.223667
0.828121	2.223437
0.829987	2.223208
0.831857	2.22298
0.833731	2.222753
0.83561	2.222527
0.837492	2.222303
0.839379	2.222079
0.84127	2.221857
0.843166	2.221636
0.845065	2.221416
0.846969	2.221197
0.848878	2.220979
0.85079	2.220762
0.852707	2.220547
0.854628	2.220332
0.856554	2.220119
0.858483	2.219906
0.860418	2.219695
0.862356	2.219484
0.864299	2.219275
0.866246	2.219067
0.868198	2.21886
0.870154	2.218654
0.872114	2.218449
0.874079	2.218245
0.876049	2.218042
0.878022	2.21784
0.880001	2.217639
0.881983	2.217438
0.88397	2.217239
0.885962	2.217041
0.887958	2.216844
0.889959	2.216648
0.891964	2.216453
0.893973	2.216259
0.895988	2.216066
0.898006	2.215874
0.900029	2.215683
0.902057	2.215492
0.90409	2.215303
0.906126	2.215114
0.908168	2.214927
0.910214	2.21474
0.912265	2.214555
0.91432	2.21437
0.91638	2.214186
0.918445	2.214003
0.920514	2.213821
0.922588	2.21364
0.924667	2.21346
0.92675	2.213281
0.928838	2.213102
0.930931	2.212925
0.933028	2.212748
0.93513	2.212572
0.937237	2.212398
0.939348	2.212223
0.941465	2.21205
0.943586	2.211878
0.945712	2.211706
0.947843	2.211536
0.949978	2.211366
0.952118	2.211197
0.954264	2.211029
0.956414	2.210861
0.958568	2.210695
0.960728	2.210529
0.962893	2.210364
0.965062	2.2102
0.967236	2.210037
0.969415	2.209874
0.9716	2.209713
0.973789	2.209552
0.975983	2.209392
0.978181	2.209232
0.980385	2.209074
0.982594	2.208916
0.984808	2.208759
0.987027	2.208603
0.989251	2.208447
0.991479	2.208292
0.993713	2.208138
0.995952	2.207985
0.998196	2.207833
1.00044	2.207681
1.0027	2.20753
1.00496	2.20738
1.00722	2.20723
1.00949	2.207081
1.01177	2.206933
1.01405	2.206786
1.01633	2.206639
1.01862	2.206493
1.02091	2.206348
1.02321	2.206203
1.02552	2.20606
1.02783	2.205916
1.03015	2.205774
1.03247	2.205632
1.03479	2.205491
1.03712	2.205351
1.03946	2.205211
1.0418	2.205072
1.04415	2.204934
1.0465	2.204796
1.04886	2.204659
1.05122	2.204523
1.05359	2.204387
1.05597	2.204252
1.05835	2.204117
1.06073	2.203984
1.06312	2.20385
1.06551	2.203718
1.06792	2.203586
1.07032	2.203455
1.07273	2.203324
1.07515	2.203194
1.07757	2.203065
1.08	2.202936

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: —

PbMoO₄ (Lead Molybdate): all datasets

About PbMoO4 (Lead Molybdate)

Lead molybdate (PbMoO₄) is a crystalline compound that possesses notable optical properties, making it particularly suited for certain photonic applications. This material is widely recognized for its scintillation properties, which make it an attractive choice for use in radiation detection equipment, such as gamma-ray and X-ray detectors. The crystal's fast decay time and high light output contribute to its utility in these applications. Additionally, PbMoO₄ has been studied as a potential laser host material due to its favorable spectroscopic properties. When handling and utilizing this compound, it's essential to be aware of the potential health risks associated with lead-based materials.

More about PbMoO4 (Lead Molybdate) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/PbMoO4/nk/Malitson-e.yml
ID: ds_e9b31d6c6a67
API: /v1/datasets/ds_e9b31d6c6a67

Plot