Optical constants

Refractive index of LiIO₃ (Lithium iodate)

Herbst 1976: n(e) 0.546–5.0 µm

Data: formula 2
Range: 0.5461–5 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: 1.73968
Extinction coefficient k: 0

Permittivity ε₁: 3.0265
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.118235 µm⁻¹

Group index n_g: 1.80916
Group velocity dispersion: 239.703 fs²/mm

Dispersion parameter D: -1307.71 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

# LiIO3 (Lithium iodate): Herbst 1976: n(e) 0.546–5.0 µm
liio3 = ls.fetch_refractiveindex("main", "LiIO3", "Herbst-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(liio3.range_nm)  # (546.1, 5000) nm
eps = liio3.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_fb934acd6b65/lightsmith"
liio3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(liio3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (liio3/herbst-1976-e).

# ... load liio3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=liio3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=547, 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_fb934acd6b65/lightsmith?model=drude_lorentz"
liio3_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 (C in µm²) (formula 2), λ in µm

n^{2} - 1 = 0.83086 + \frac{1.08807 λ^{2}}{λ^{2} - 0.031381} + \frac{0.554582 λ^{2}}{λ^{2} - 158.76}

Valid from 0.5461 to 5.0 µm.

Coefficients as stored

C_i	Value
C1	0.83086
C2	1.08807
C3	0.031381
C4	0.554582
C5	158.76

Comments and conditions

Room temperature. Extraordinary ray (e).

Conditions

direction: e

References

Cited as "R. L. Herbst (private communication)" in M. M. Choy and R. L. Byer. Accurate second-order susceptibility measurements of visible and infrared nonlinear crystals. Phys. Rev. B 14, 1693-1706 (1976).

doi:10.1103/physrevb.14.1693 Accurate second-order susceptibility measurements of visible and infrared nonlinear crystals, Physical Review B (1976)

Cite

Michael M. Choy and Robert L. Byer. Accurate second-order susceptibility measurements of visible and infrared nonlinear crystals. Physical Review B, 14, 1693-1706 (1976), doi:10.1103/physrevb.14.1693; 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

LiIO3 (Lithium iodate), Herbst 1976: n(e) 0.546–5.0 µm: n and k versus wavelength
λ (µm)	n
0.5461	1.745235
0.549139	1.74478
0.552195	1.74433
0.555268	1.743887
0.558359	1.74345
0.561466	1.743018
0.564591	1.742592
0.567733	1.742172
0.570893	1.741757
0.57407	1.741347
0.577265	1.740942
0.580477	1.740543
0.583708	1.740149
0.586956	1.73976
0.590223	1.739376
0.593508	1.738997
0.596811	1.738622
0.600132	1.738253
0.603472	1.737888
0.60683	1.737527
0.610208	1.737172
0.613604	1.73682
0.617018	1.736473
0.620452	1.736131
0.623905	1.735793
0.627377	1.735459
0.630869	1.735129
0.63438	1.734803
0.63791	1.734481
0.641461	1.734163
0.645031	1.733849
0.64862	1.733539
0.65223	1.733233
0.65586	1.732931
0.65951	1.732632
0.66318	1.732337
0.666871	1.732045
0.670582	1.731757
0.674314	1.731472
0.678067	1.731191
0.681841	1.730914
0.685635	1.730639
0.689451	1.730368
0.693288	1.7301
0.697147	1.729836
0.701026	1.729574
0.704928	1.729316
0.708851	1.72906
0.712796	1.728808
0.716763	1.728559
0.720752	1.728312
0.724763	1.728069
0.728796	1.727828
0.732852	1.72759
0.736931	1.727355
0.741032	1.727123
0.745156	1.726893
0.749303	1.726666
0.753473	1.726442
0.757667	1.72622
0.761883	1.726001
0.766123	1.725784
0.770387	1.72557
0.774674	1.725358
0.778986	1.725149
0.783321	1.724942
0.78768	1.724737
0.792064	1.724535
0.796472	1.724335
0.800905	1.724137
0.805362	1.723942
0.809844	1.723748
0.814351	1.723557
0.818883	1.723368
0.82344	1.723181
0.828023	1.722996
0.832631	1.722813
0.837265	1.722632
0.841925	1.722453
0.84661	1.722276
0.851322	1.722101
0.85606	1.721928
0.860824	1.721756
0.865615	1.721587
0.870432	1.721419
0.875276	1.721253
0.880147	1.721089
0.885046	1.720927
0.889971	1.720766
0.894924	1.720608
0.899905	1.72045
0.904913	1.720295
0.909949	1.720141
0.915013	1.719988
0.920105	1.719838
0.925226	1.719688
0.930375	1.719541
0.935553	1.719394
0.94076	1.71925
0.945995	1.719107
0.95126	1.718965
0.956554	1.718824
0.961877	1.718685
0.967231	1.718548
0.972613	1.718412
0.978026	1.718277
0.983469	1.718143
0.988943	1.718011
0.994446	1.71788
0.999981	1.717751
1.00555	1.717622
1.01114	1.717495
1.01677	1.717369
1.02243	1.717244
1.02812	1.717121
1.03384	1.716998
1.03959	1.716877
1.04538	1.716757
1.0512	1.716638
1.05705	1.71652
1.06293	1.716403
1.06885	1.716287
1.07479	1.716173
1.08078	1.716059
1.08679	1.715946
1.09284	1.715834
1.09892	1.715724
1.10504	1.715614
1.11119	1.715505
1.11737	1.715397
1.12359	1.71529
1.12984	1.715184
1.13613	1.715079
1.14245	1.714975
1.14881	1.714871
1.1552	1.714769
1.16163	1.714667
1.1681	1.714566
1.1746	1.714466
1.18114	1.714366
1.18771	1.714268
1.19432	1.71417
1.20097	1.714073
1.20765	1.713976
1.21437	1.713881
1.22113	1.713786
1.22792	1.713692
1.23476	1.713598
1.24163	1.713505
1.24854	1.713413
1.25549	1.713322
1.26248	1.713231
1.2695	1.71314
1.27657	1.713051
1.28367	1.712961
1.29082	1.712873
1.298	1.712785
1.30522	1.712698
1.31249	1.712611
1.31979	1.712524
1.32714	1.712439
1.33452	1.712353
1.34195	1.712269
1.34942	1.712184
1.35693	1.712101
1.36448	1.712017
1.37207	1.711934
1.37971	1.711852
1.38739	1.71177
1.39511	1.711688
1.40287	1.711607
1.41068	1.711527
1.41853	1.711446
1.42642	1.711366
1.43436	1.711287
1.44235	1.711207
1.45037	1.711128
1.45844	1.71105
1.46656	1.710972
1.47472	1.710894
1.48293	1.710816
1.49118	1.710739
1.49948	1.710662
1.50783	1.710585
1.51622	1.710509
1.52466	1.710432
1.53314	1.710356
1.54167	1.710281
1.55025	1.710205
1.55888	1.71013
1.56756	1.710055
1.57628	1.70998
1.58505	1.709905
1.59388	1.70983
1.60275	1.709756
1.61167	1.709682
1.62063	1.709608
1.62965	1.709534
1.63872	1.70946
1.64784	1.709386
1.65701	1.709313
1.66624	1.709239
1.67551	1.709166
1.68483	1.709092
1.69421	1.709019
1.70364	1.708946
1.71312	1.708873
1.72265	1.708799
1.73224	1.708726
1.74188	1.708653
1.75158	1.70858
1.76132	1.708507
1.77113	1.708434
1.78098	1.708361
1.79089	1.708288
1.80086	1.708214
1.81088	1.708141
1.82096	1.708068
1.8311	1.707994
1.84129	1.707921
1.85153	1.707847
1.86184	1.707774
1.8722	1.7077
1.88262	1.707626
1.8931	1.707552
1.90363	1.707478
1.91423	1.707403
1.92488	1.707329
1.93559	1.707254
1.94636	1.707179
1.9572	1.707104
1.96809	1.707029
1.97904	1.706954
1.99006	1.706878
2.00113	1.706802
2.01227	1.706726
2.02347	1.706649
2.03473	1.706573
2.04605	1.706496
2.05744	1.706419
2.06889	1.706341
2.0804	1.706263
2.09198	1.706185
2.10362	1.706107
2.11533	1.706028
2.1271	1.705949
2.13894	1.705869
2.15084	1.705789
2.16281	1.705709
2.17485	1.705628
2.18695	1.705547
2.19913	1.705465
2.21136	1.705383
2.22367	1.705301
2.23605	1.705218
2.24849	1.705135
2.261	1.705051
2.27359	1.704967
2.28624	1.704882
2.29896	1.704796
2.31176	1.704711
2.32462	1.704624
2.33756	1.704537
2.35057	1.70445
2.36365	1.704362
2.37681	1.704273
2.39003	1.704184
2.40334	1.704094
2.41671	1.704003
2.43016	1.703912
2.44368	1.70382
2.45728	1.703728
2.47096	1.703634
2.48471	1.70354
2.49854	1.703446
2.51244	1.70335
2.52643	1.703254
2.54049	1.703157
2.55463	1.70306
2.56884	1.702961
2.58314	1.702862
2.59752	1.702762
2.61197	1.702661
2.62651	1.70256
2.64112	1.702457
2.65582	1.702354
2.6706	1.702249
2.68547	1.702144
2.70041	1.702038
2.71544	1.701931
2.73055	1.701823
2.74575	1.701714
2.76103	1.701604
2.7764	1.701492
2.79185	1.70138
2.80738	1.701267
2.82301	1.701153
2.83872	1.701038
2.85452	1.700921
2.8704	1.700804
2.88638	1.700685
2.90244	1.700565
2.91859	1.700444
2.93484	1.700322
2.95117	1.700198
2.96759	1.700074
2.98411	1.699948
3.00072	1.699821
3.01742	1.699692
3.03421	1.699562
3.0511	1.699431
3.06808	1.699298
3.08515	1.699164
3.10232	1.699029
3.11959	1.698892
3.13695	1.698754
3.15441	1.698614
3.17196	1.698473
3.18961	1.69833
3.20736	1.698186
3.22521	1.69804
3.24316	1.697892
3.26121	1.697743
3.27936	1.697592
3.29761	1.697439
3.31597	1.697285
3.33442	1.697129
3.35298	1.696971
3.37164	1.696811
3.3904	1.69665
3.40927	1.696486
3.42824	1.696321
3.44732	1.696154
3.46651	1.695985
3.4858	1.695814
3.5052	1.695641
3.52471	1.695465
3.54432	1.695288
3.56405	1.695109
3.58388	1.694927
3.60383	1.694743
3.62388	1.694557
3.64405	1.694369
3.66433	1.694179
3.68473	1.693986
3.70523	1.69379
3.72585	1.693593
3.74659	1.693392
3.76744	1.69319
3.78841	1.692985
3.80949	1.692777
3.83069	1.692566
3.85201	1.692353
3.87345	1.692138
3.895	1.691919
3.91668	1.691698
3.93848	1.691474
3.9604	1.691247
3.98244	1.691016
4.0046	1.690783
4.02689	1.690547
4.0493	1.690308
4.07183	1.690066
4.09449	1.68982
4.11728	1.689572
4.1402	1.689319
4.16324	1.689064
4.18641	1.688805
4.2097	1.688543
4.23313	1.688277
4.25669	1.688007
4.28038	1.687734
4.3042	1.687457
4.32816	1.687176
4.35224	1.686891
4.37647	1.686603
4.40082	1.68631
4.42531	1.686014
4.44994	1.685713
4.47471	1.685408
4.49961	1.685098
4.52465	1.684784
4.54983	1.684466
4.57515	1.684143
4.60062	1.683816
4.62622	1.683484
4.65197	1.683147
4.67786	1.682805
4.70389	1.682458
4.73007	1.682106
4.75639	1.681749
4.78286	1.681387
4.80948	1.681019
4.83625	1.680646
4.86316	1.680267
4.89023	1.679883
4.91744	1.679493
4.94481	1.679097
4.97233	1.678695
5	1.678286

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: —

LiIO₃ (Lithium iodate): all datasets

About LiIO3 (Lithium iodate)

Lithium iodate (LiIO₃) is a white crystalline compound that has nonlinear optical properties, making it useful in certain optical applications such as frequency conversion and electro-optical modulation. Due to its good phase-matching capabilities, it is often employed in second harmonic generation (SHG) and other nonlinear optical processes. Lithium iodate is also characterized by its relatively high damage threshold, which makes it suitable for high-power optical systems. However, the compound is sensitive to moisture and must be handled and stored under controlled conditions to maintain its optical characteristics.

Lithium Iodate Crystals - Eksma Optics

More about LiIO3 (Lithium iodate) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/LiIO3/nk/Herbst-e.yml
ID: ds_fb934acd6b65
API: /v1/datasets/ds_fb934acd6b65

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