Optical constants

Refractive index of TlBr (Thallium bromide)

Schröter 1931: n 0.54–0.65 µm

Data: formula 8
Range: 0.54–0.65 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.43743
Extinction coefficient k: 0

Permittivity ε₁: 5.94105
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.743663 µm⁻¹

Group index n_g: 2.8744
Group velocity dispersion: 2087.45 fs²/mm

Dispersion parameter D: -11388.2 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

# TlBr (Thallium bromide): Schröter 1931: n 0.54–0.65 µm
tlbr = ls.fetch_refractiveindex("main", "TlBr", "Schroter", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tlbr.range_nm)  # (540, 650) nm
eps = tlbr.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_084870f408c3/lightsmith"
tlbr = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(tlbr.source)  # citation and provenance travel with the data

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

# ... load tlbr as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=tlbr)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=540, stop_nm=650, 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} = 0.48484 + \frac{0.10279 λ^{2}}{λ^{2} - 0.09} - 0.0047896 λ^{2}

Valid from 0.54 to 0.65 µm.

Coefficients as stored

C_i	Value
C1	0.48484
C2	0.10279
C3	0.09
C4	-0.0047896

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

TlBr (Thallium bromide), Schröter 1931: n 0.54–0.65 µm: n and k versus wavelength
λ (µm)	n
0.54	2.480901
0.540251	2.48062
0.540502	2.48034
0.540753	2.48006
0.541005	2.47978
0.541256	2.479501
0.541508	2.479223
0.541759	2.478945
0.542011	2.478668
0.542263	2.478391
0.542515	2.478115
0.542767	2.477839
0.543019	2.477564
0.543272	2.477289
0.543524	2.477015
0.543777	2.476741
0.54403	2.476468
0.544283	2.476195
0.544536	2.475923
0.544789	2.475652
0.545042	2.475381
0.545295	2.47511
0.545549	2.47484
0.545802	2.474571
0.546056	2.474302
0.54631	2.474033
0.546564	2.473765
0.546818	2.473498
0.547072	2.473231
0.547326	2.472964
0.54758	2.472698
0.547835	2.472433
0.548089	2.472168
0.548344	2.471903
0.548599	2.471639
0.548854	2.471376
0.549109	2.471113
0.549364	2.47085
0.54962	2.470588
0.549875	2.470327
0.550131	2.470066
0.550386	2.469805
0.550642	2.469545
0.550898	2.469285
0.551154	2.469026
0.55141	2.468768
0.551667	2.46851
0.551923	2.468252
0.55218	2.467995
0.552436	2.467738
0.552693	2.467482
0.55295	2.467226
0.553207	2.466971
0.553464	2.466716
0.553721	2.466462
0.553979	2.466208
0.554236	2.465955
0.554494	2.465702
0.554751	2.465449
0.555009	2.465197
0.555267	2.464946
0.555525	2.464695
0.555783	2.464444
0.556042	2.464194
0.5563	2.463944
0.556559	2.463695
0.556817	2.463446
0.557076	2.463198
0.557335	2.46295
0.557594	2.462702
0.557853	2.462455
0.558113	2.462209
0.558372	2.461963
0.558631	2.461717
0.558891	2.461472
0.559151	2.461227
0.559411	2.460983
0.559671	2.460739
0.559931	2.460496
0.560191	2.460253
0.560452	2.46001
0.560712	2.459768
0.560973	2.459527
0.561233	2.459285
0.561494	2.459045
0.561755	2.458804
0.562016	2.458564
0.562277	2.458325
0.562539	2.458086
0.5628	2.457847
0.563062	2.457609
0.563324	2.457371
0.563585	2.457134
0.563847	2.456897
0.564109	2.45666
0.564372	2.456424
0.564634	2.456189
0.564896	2.455953
0.565159	2.455719
0.565421	2.455484
0.565684	2.45525
0.565947	2.455017
0.56621	2.454784
0.566473	2.454551
0.566737	2.454318
0.567	2.454087
0.567264	2.453855
0.567527	2.453624
0.567791	2.453393
0.568055	2.453163
0.568319	2.452933
0.568583	2.452704
0.568847	2.452475
0.569112	2.452246
0.569376	2.452018
0.569641	2.45179
0.569906	2.451562
0.570171	2.451335
0.570436	2.451109
0.570701	2.450882
0.570966	2.450657
0.571231	2.450431
0.571497	2.450206
0.571762	2.449981
0.572028	2.449757
0.572294	2.449533
0.57256	2.44931
0.572826	2.449086
0.573092	2.448864
0.573359	2.448641
0.573625	2.448419
0.573892	2.448198
0.574159	2.447977
0.574425	2.447756
0.574692	2.447535
0.574959	2.447315
0.575227	2.447096
0.575494	2.446876
0.575762	2.446658
0.576029	2.446439
0.576297	2.446221
0.576565	2.446003
0.576833	2.445786
0.577101	2.445569
0.577369	2.445352
0.577637	2.445136
0.577906	2.44492
0.578174	2.444704
0.578443	2.444489
0.578712	2.444274
0.578981	2.44406
0.57925	2.443846
0.579519	2.443632
0.579789	2.443419
0.580058	2.443206
0.580328	2.442993
0.580597	2.442781
0.580867	2.442569
0.581137	2.442357
0.581407	2.442146
0.581678	2.441935
0.581948	2.441725
0.582218	2.441515
0.582489	2.441305
0.58276	2.441096
0.583031	2.440887
0.583302	2.440678
0.583573	2.44047
0.583844	2.440262
0.584115	2.440054
0.584387	2.439847
0.584658	2.43964
0.58493	2.439433
0.585202	2.439227
0.585474	2.439021
0.585746	2.438816
0.586018	2.43861
0.586291	2.438406
0.586563	2.438201
0.586836	2.437997
0.587109	2.437793
0.587381	2.43759
0.587654	2.437386
0.587928	2.437184
0.588201	2.436981
0.588474	2.436779
0.588748	2.436577
0.589021	2.436376
0.589295	2.436175
0.589569	2.435974
0.589843	2.435773
0.590117	2.435573
0.590391	2.435373
0.590666	2.435174
0.59094	2.434975
0.591215	2.434776
0.59149	2.434577
0.591765	2.434379
0.59204	2.434181
0.592315	2.433984
0.59259	2.433787
0.592866	2.43359
0.593141	2.433393
0.593417	2.433197
0.593693	2.433001
0.593969	2.432806
0.594245	2.432611
0.594521	2.432416
0.594797	2.432221
0.595074	2.432027
0.59535	2.431833
0.595627	2.431639
0.595904	2.431446
0.596181	2.431253
0.596458	2.43106
0.596735	2.430868
0.597012	2.430676
0.59729	2.430484
0.597567	2.430292
0.597845	2.430101
0.598123	2.42991
0.598401	2.42972
0.598679	2.42953
0.598957	2.42934
0.599236	2.42915
0.599514	2.428961
0.599793	2.428772
0.600072	2.428583
0.600351	2.428395
0.60063	2.428207
0.600909	2.428019
0.601188	2.427831
0.601468	2.427644
0.601747	2.427457
0.602027	2.427271
0.602307	2.427084
0.602586	2.426898
0.602867	2.426713
0.603147	2.426527
0.603427	2.426342
0.603708	2.426157
0.603988	2.425973
0.604269	2.425789
0.60455	2.425605
0.604831	2.425421
0.605112	2.425238
0.605393	2.425055
0.605674	2.424872
0.605956	2.42469
0.606238	2.424507
0.606519	2.424326
0.606801	2.424144
0.607083	2.423963
0.607365	2.423782
0.607648	2.423601
0.60793	2.423421
0.608213	2.42324
0.608495	2.423061
0.608778	2.422881
0.609061	2.422702
0.609344	2.422523
0.609627	2.422344
0.609911	2.422165
0.610194	2.421987
0.610478	2.421809
0.610762	2.421632
0.611045	2.421454
0.611329	2.421277
0.611614	2.421101
0.611898	2.420924
0.612182	2.420748
0.612467	2.420572
0.612751	2.420396
0.613036	2.420221
0.613321	2.420046
0.613606	2.419871
0.613891	2.419696
0.614177	2.419522
0.614462	2.419348
0.614748	2.419174
0.615033	2.419
0.615319	2.418827
0.615605	2.418654
0.615891	2.418481
0.616178	2.418309
0.616464	2.418137
0.616751	2.417965
0.617037	2.417793
0.617324	2.417622
0.617611	2.417451
0.617898	2.41728
0.618185	2.417109
0.618472	2.416939
0.61876	2.416769
0.619048	2.416599
0.619335	2.41643
0.619623	2.41626
0.619911	2.416091
0.620199	2.415923
0.620487	2.415754
0.620776	2.415586
0.621064	2.415418
0.621353	2.41525
0.621642	2.415083
0.621931	2.414915
0.62222	2.414748
0.622509	2.414582
0.622798	2.414415
0.623088	2.414249
0.623377	2.414083
0.623667	2.413917
0.623957	2.413752
0.624247	2.413587
0.624537	2.413422
0.624827	2.413257
0.625118	2.413093
0.625408	2.412928
0.625699	2.412764
0.62599	2.412601
0.626281	2.412437
0.626572	2.412274
0.626863	2.412111
0.627154	2.411948
0.627446	2.411786
0.627738	2.411624
0.628029	2.411462
0.628321	2.4113
0.628613	2.411138
0.628905	2.410977
0.629198	2.410816
0.62949	2.410655
0.629783	2.410495
0.630075	2.410334
0.630368	2.410174
0.630661	2.410015
0.630954	2.409855
0.631248	2.409696
0.631541	2.409536
0.631835	2.409378
0.632128	2.409219
0.632422	2.409061
0.632716	2.408902
0.63301	2.408744
0.633304	2.408587
0.633599	2.408429
0.633893	2.408272
0.634188	2.408115
0.634482	2.407958
0.634777	2.407802
0.635072	2.407645
0.635367	2.407489
0.635663	2.407334
0.635958	2.407178
0.636254	2.407023
0.63655	2.406867
0.636845	2.406712
0.637141	2.406558
0.637438	2.406403
0.637734	2.406249
0.63803	2.406095
0.638327	2.405941
0.638623	2.405788
0.63892	2.405634
0.639217	2.405481
0.639514	2.405328
0.639811	2.405176
0.640109	2.405023
0.640406	2.404871
0.640704	2.404719
0.641002	2.404567
0.6413	2.404415
0.641598	2.404264
0.641896	2.404113
0.642194	2.403962
0.642493	2.403811
0.642791	2.403661
0.64309	2.403511
0.643389	2.403361
0.643688	2.403211
0.643987	2.403061
0.644287	2.402912
0.644586	2.402763
0.644886	2.402614
0.645185	2.402465
0.645485	2.402316
0.645785	2.402168
0.646085	2.40202
0.646386	2.401872
0.646686	2.401724
0.646987	2.401577
0.647287	2.40143
0.647588	2.401283
0.647889	2.401136
0.64819	2.400989
0.648492	2.400843
0.648793	2.400696
0.649095	2.40055
0.649396	2.400405
0.649698	2.400259
0.65	2.400114

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: —

TlBr (Thallium bromide): all datasets

About TlBr (Thallium bromide)

Thallium bromide (TlBr) is a crystalline compound with interesting properties that make it suitable for radiation detection applications. It possesses a wide bandgap and high atomic numbers for both thallium and bromine, characteristics that enhance its performance as a gamma-ray detector. Additionally, TlBr detectors exhibit high energy resolution and are suitable for high-temperature operations. Due to its potential in radiation detection, TlBr has attracted attention in the field of nuclear medicine and security. However, the material's long-term stability and potential toxicity from thallium content require careful consideration during usage and handling.

Thallium(I) bromide - Wikipedia

More about TlBr (Thallium bromide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/TlBr/nk/Schroter.yml
ID: ds_084870f408c3
API: /v1/datasets/ds_084870f408c3

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