Optical constants

Refractive index of TlCl (Thallium chloride)

Schröter 1931: n 0.43–0.66 µm

Data: formula 8
Range: 0.43–0.66 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.26358
Extinction coefficient k: 0

Permittivity ε₁: 5.12378
Permittivity ε₂: 0

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

Abbe number V_d: 13.079
Chromatic dispersion dn/dλ: -0.453163 µm⁻¹

Group index n_g: 2.52986
Group velocity dispersion: 1117.41 fs²/mm

Dispersion parameter D: -6096.08 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

# TlCl (Thallium chloride): Schröter 1931: n 0.43–0.66 µm
tlcl = ls.fetch_refractiveindex("main", "TlCl", "Schroter", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tlcl.range_nm)  # (430, 660) nm
eps = tlcl.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_026dc4ab5fb4/lightsmith"
tlcl = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(tlcl.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (tlcl/schroter-1931).

# ... load tlcl as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=tlcl)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=430, stop_nm=660, 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

Retro (formula 8), λ in µm

\frac{n^{2} - 1}{n^{2} + 2} = 0.47856 + \frac{0.07858 λ^{2}}{λ^{2} - 0.08277} - 0.00881 λ^{2}

Valid from 0.43 to 0.66 µm.

Coefficients as stored

C_i	Value
C1	0.47856
C2	0.07858
C3	0.08277
C4	-0.00881

References

H. Schröter. Über die Brechungsindizes einiger Schwermetallhalogenide im Sichtbaren und die Berechnung von Interpolationsformeln für den Dispersionsverlauf (On the refractive indices of some heavy-metal halides in the visible and calculation of interpolation formulas for dispersion). Z. Phys. 67, 24-36 (1931) [in German]

doi:10.1007/bf01391040 �ber die Brechungsindizes einiger Schwermetallhalogenide im Sichtbaren und die Berechnung von Interpolationsformeln f�r den Dispersionsverlauf, Zeitschrift f�r Physik (1931)

Cite

H. Schr�ter. �ber die Brechungsindizes einiger Schwermetallhalogenide im Sichtbaren und die Berechnung von Interpolationsformeln f�r den Dispersionsverlauf. Zeitschrift f�r Physik, 67, 24-36 (1931), doi:10.1007/bf01391040; 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

TlCl (Thallium chloride), Schröter 1931: n 0.43–0.66 µm: n and k versus wavelength
λ (µm)	n
0.43	2.42447
0.430462	2.423402
0.430924	2.42234
0.431387	2.421286
0.431851	2.420238
0.432315	2.419197
0.432779	2.418162
0.433244	2.417134
0.43371	2.416112
0.434176	2.415097
0.434642	2.414088
0.435109	2.413085
0.435577	2.412089
0.436045	2.411098
0.436513	2.410114
0.436982	2.409135
0.437452	2.408163
0.437922	2.407196
0.438392	2.406235
0.438863	2.405281
0.439335	2.404331
0.439807	2.403388
0.440279	2.40245
0.440752	2.401518
0.441226	2.400591
0.4417	2.39967
0.442174	2.398755
0.44265	2.397844
0.443125	2.396939
0.443601	2.39604
0.444078	2.395146
0.444555	2.394257
0.445033	2.393373
0.445511	2.392494
0.445989	2.39162
0.446469	2.390752
0.446948	2.389888
0.447428	2.389029
0.447909	2.388175
0.44839	2.387327
0.448872	2.386483
0.449354	2.385643
0.449837	2.384809
0.45032	2.383979
0.450804	2.383154
0.451289	2.382333
0.451774	2.381518
0.452259	2.380706
0.452745	2.379899
0.453231	2.379097
0.453718	2.378299
0.454206	2.377506
0.454694	2.376717
0.455182	2.375932
0.455671	2.375152
0.456161	2.374376
0.456651	2.373604
0.457142	2.372836
0.457633	2.372072
0.458124	2.371313
0.458617	2.370558
0.459109	2.369806
0.459603	2.369059
0.460096	2.368316
0.460591	2.367577
0.461086	2.366842
0.461581	2.36611
0.462077	2.365383
0.462573	2.364659
0.46307	2.363939
0.463568	2.363223
0.464066	2.362511
0.464564	2.361802
0.465064	2.361098
0.465563	2.360396
0.466063	2.359699
0.466564	2.359005
0.467065	2.358315
0.467567	2.357628
0.46807	2.356945
0.468573	2.356265
0.469076	2.355589
0.46958	2.354916
0.470084	2.354247
0.47059	2.353581
0.471095	2.352918
0.471601	2.352259
0.472108	2.351603
0.472615	2.35095
0.473123	2.350301
0.473631	2.349655
0.47414	2.349012
0.47465	2.348373
0.47516	2.347736
0.47567	2.347103
0.476181	2.346473
0.476693	2.345846
0.477205	2.345222
0.477718	2.344601
0.478231	2.343983
0.478745	2.343368
0.479259	2.342756
0.479774	2.342148
0.480289	2.341542
0.480805	2.340939
0.481322	2.340339
0.481839	2.339742
0.482357	2.339147
0.482875	2.338556
0.483394	2.337967
0.483913	2.337382
0.484433	2.336799
0.484954	2.336218
0.485475	2.335641
0.485996	2.335066
0.486518	2.334494
0.487041	2.333925
0.487564	2.333358
0.488088	2.332794
0.488613	2.332233
0.489138	2.331674
0.489663	2.331118
0.490189	2.330565
0.490716	2.330014
0.491243	2.329465
0.491771	2.328919
0.492299	2.328376
0.492828	2.327835
0.493358	2.327297
0.493888	2.326761
0.494418	2.326227
0.49495	2.325696
0.495481	2.325168
0.496014	2.324641
0.496547	2.324118
0.49708	2.323596
0.497614	2.323077
0.498149	2.32256
0.498684	2.322046
0.49922	2.321533
0.499756	2.321023
0.500293	2.320516
0.500831	2.32001
0.501369	2.319507
0.501907	2.319006
0.502447	2.318508
0.502986	2.318011
0.503527	2.317517
0.504068	2.317025
0.504609	2.316535
0.505151	2.316047
0.505694	2.315561
0.506238	2.315077
0.506781	2.314596
0.507326	2.314116
0.507871	2.313639
0.508417	2.313164
0.508963	2.31269
0.50951	2.312219
0.510057	2.31175
0.510605	2.311283
0.511154	2.310817
0.511703	2.310354
0.512253	2.309893
0.512803	2.309434
0.513354	2.308976
0.513906	2.308521
0.514458	2.308067
0.51501	2.307616
0.515564	2.307166
0.516118	2.306718
0.516672	2.306272
0.517227	2.305828
0.517783	2.305385
0.518339	2.304945
0.518896	2.304506
0.519454	2.30407
0.520012	2.303634
0.520571	2.303201
0.52113	2.30277
0.52169	2.30234
0.52225	2.301912
0.522811	2.301486
0.523373	2.301061
0.523935	2.300639
0.524498	2.300218
0.525062	2.299798
0.525626	2.299381
0.526191	2.298965
0.526756	2.29855
0.527322	2.298138
0.527888	2.297727
0.528456	2.297318
0.529023	2.29691
0.529592	2.296504
0.530161	2.296099
0.53073	2.295696
0.531301	2.295295
0.531871	2.294895
0.532443	2.294497
0.533015	2.294101
0.533588	2.293706
0.534161	2.293312
0.534735	2.29292
0.535309	2.29253
0.535884	2.292141
0.53646	2.291754
0.537037	2.291368
0.537614	2.290983
0.538191	2.2906
0.538769	2.290219
0.539348	2.289839
0.539928	2.289461
0.540508	2.289083
0.541089	2.288708
0.54167	2.288334
0.542252	2.287961
0.542834	2.28759
0.543418	2.28722
0.544002	2.286851
0.544586	2.286484
0.545171	2.286118
0.545757	2.285754
0.546343	2.285391
0.54693	2.285029
0.547518	2.284668
0.548106	2.284309
0.548695	2.283952
0.549284	2.283595
0.549875	2.28324
0.550465	2.282887
0.551057	2.282534
0.551649	2.282183
0.552242	2.281833
0.552835	2.281485
0.553429	2.281137
0.554023	2.280791
0.554619	2.280447
0.555215	2.280103
0.555811	2.279761
0.556408	2.27942
0.557006	2.27908
0.557604	2.278741
0.558204	2.278404
0.558803	2.278068
0.559404	2.277733
0.560005	2.277399
0.560606	2.277067
0.561209	2.276735
0.561812	2.276405
0.562415	2.276076
0.56302	2.275748
0.563624	2.275421
0.56423	2.275096
0.564836	2.274772
0.565443	2.274448
0.566051	2.274126
0.566659	2.273805
0.567268	2.273485
0.567877	2.273166
0.568487	2.272849
0.569098	2.272532
0.569709	2.272217
0.570321	2.271902
0.570934	2.271589
0.571548	2.271277
0.572162	2.270966
0.572776	2.270655
0.573392	2.270346
0.574008	2.270038
0.574625	2.269731
0.575242	2.269426
0.57586	2.269121
0.576479	2.268817
0.577098	2.268514
0.577718	2.268212
0.578339	2.267911
0.57896	2.267612
0.579582	2.267313
0.580205	2.267015
0.580828	2.266718
0.581452	2.266423
0.582077	2.266128
0.582702	2.265834
0.583328	2.265541
0.583955	2.265249
0.584583	2.264958
0.585211	2.264668
0.585839	2.264379
0.586469	2.264091
0.587099	2.263804
0.58773	2.263518
0.588361	2.263232
0.588993	2.262948
0.589626	2.262665
0.59026	2.262382
0.590894	2.262101
0.591529	2.26182
0.592164	2.26154
0.5928	2.261261
0.593437	2.260983
0.594075	2.260706
0.594713	2.26043
0.595352	2.260154
0.595992	2.25988
0.596632	2.259606
0.597273	2.259334
0.597915	2.259062
0.598557	2.258791
0.5992	2.25852
0.599844	2.258251
0.600489	2.257983
0.601134	2.257715
0.60178	2.257448
0.602426	2.257182
0.603073	2.256917
0.603721	2.256652
0.60437	2.256389
0.605019	2.256126
0.605669	2.255864
0.60632	2.255603
0.606971	2.255343
0.607624	2.255083
0.608276	2.254824
0.60893	2.254566
0.609584	2.254309
0.610239	2.254053
0.610895	2.253797
0.611551	2.253542
0.612208	2.253288
0.612866	2.253035
0.613524	2.252782
0.614184	2.252531
0.614843	2.25228
0.615504	2.252029
0.616165	2.25178
0.616827	2.251531
0.61749	2.251283
0.618153	2.251035
0.618818	2.250789
0.619482	2.250543
0.620148	2.250298
0.620814	2.250053
0.621481	2.249809
0.622149	2.249566
0.622817	2.249324
0.623487	2.249082
0.624156	2.248841
0.624827	2.248601
0.625498	2.248361
0.62617	2.248123
0.626843	2.247884
0.627517	2.247647
0.628191	2.24741
0.628866	2.247174
0.629541	2.246938
0.630218	2.246704
0.630895	2.246469
0.631573	2.246236
0.632251	2.246003
0.632931	2.245771
0.633611	2.245539
0.634291	2.245309
0.634973	2.245078
0.635655	2.244849
0.636338	2.24462
0.637022	2.244391
0.637706	2.244164
0.638391	2.243937
0.639077	2.24371
0.639764	2.243484
0.640451	2.243259
0.641139	2.243035
0.641828	2.242811
0.642518	2.242587
0.643208	2.242364
0.643899	2.242142
0.644591	2.241921
0.645283	2.2417
0.645977	2.241479
0.646671	2.24126
0.647366	2.241041
0.648061	2.240822
0.648757	2.240604
0.649454	2.240386
0.650152	2.24017
0.650851	2.239953
0.65155	2.239738
0.65225	2.239522
0.652951	2.239308
0.653652	2.239094
0.654355	2.23888
0.655058	2.238668
0.655761	2.238455
0.656466	2.238243
0.657171	2.238032
0.657877	2.237821
0.658584	2.237611
0.659292	2.237402
0.66	2.237193

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: —

TlCl (Thallium chloride): all datasets

Schröter 1931: n 0.43–0.66 µm n 0.43–0.66 µm default

About TlCl (Thallium chloride)

Thallium chloride (TlCl) is a crystalline compound that exhibits properties suitable for specific applications, particularly in infrared detection. With its wide bandgap, TlCl is transparent in the mid-infrared region, making it useful as an optical window material for infrared sensors and other related devices. Furthermore, thallium-based compounds, including TlCl, have been explored for their potential in radiation detection due to the high atomic number of thallium. However, just like other thallium compounds, it is essential to handle TlCl with care because of the inherent toxicity of thallium.

Thallium(I) chloride - Wikipedia

More about TlCl (Thallium chloride) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/TlCl/nk/Schroter.yml
ID: ds_026dc4ab5fb4
API: /v1/datasets/ds_026dc4ab5fb4

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