Optical constants

Refractive index of CdGa₂S₄ (Cadmium gallium sulfide)

Kato et al. 2017: n(e) 0.490–7.52 µm

Data: formula 4
Range: 0.49–7.519 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: 2.46188
Extinction coefficient k: 0

Permittivity ε₁: 6.06086
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.414088 µm⁻¹

Group index n_g: 2.7052
Group velocity dispersion: 825.89 fs²/mm

Dispersion parameter D: -4505.67 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

# CdGa2S4 (Cadmium gallium sulfide): Kato et al. 2017: n(e) 0.490–7.52 µm
cdga2s4 = ls.fetch_refractiveindex("main", "CdGa2S4", "Kato-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdga2s4.range_nm)  # (490, 7519) nm
eps = cdga2s4.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_d4d3e29ea4d4/lightsmith"
cdga2s4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cdga2s4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cdga2s4/kato-2017-e).

# ... load cdga2s4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cdga2s4)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=490, 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"]).

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

RefractiveIndex.INFO (formula 4), λ in µm

n^{2} = 6.50983 + \frac{0.17311 λ^{0.0}}{λ^{2} - {0.02912}^{1.0}} + \frac{330.88 λ^{0.0}}{λ^{2} - {332.38}^{1.0}}

Valid from 0.49 to 7.519 µm.

Coefficients as stored

C_i	Value
C1	6.50983
C2	0.17311
C3	0.0
C4	0.02912
C5	1.0
C6	330.88
C7	0.0
C8	332.38
C9	1.0

Comments and conditions

Room temperature. Extraordinary ray (e).

Conditions

direction: e

References

K. Kato, N. Umemura, V. Petrov. Sellmeier and thermo-optic dispersion formulas for CdGa₂S₄ and their application to the nonlinear optics of Hg_1−xCd_xGa₂S₄. Opt. Commun. 386, 49-52 (2017)

doi:10.1016/j.optcom.2016.10.054 Sellmeier and thermo-optic dispersion formulas for CdGa 2 S 4 and their application to the nonlinear optics of Hg 1−x Cd x Ga 2 S 4, Optics Communications (2017)

Cite

Kiyoshi Kato, Nobuhiro Umemura and Valentin Petrov. Sellmeier and thermo-optic dispersion formulas for CdGa 2 S 4 and their application to the nonlinear optics of Hg 1−x Cd x Ga 2 S 4. Optics Communications, 386, 49-52 (2017), doi:10.1016/j.optcom.2016.10.054; 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

CdGa2S4 (Cadmium gallium sulfide), Kato et al. 2017: n(e) 0.490–7.52 µm: n and k versus wavelength
λ (µm)	n
0.49	2.516769
0.493365	2.514249
0.496753	2.511769
0.500165	2.50933
0.5036	2.50693
0.507058	2.504569
0.51054	2.502246
0.514047	2.49996
0.517577	2.497711
0.521131	2.495498
0.52471	2.49332
0.528314	2.491176
0.531942	2.489067
0.535595	2.486991
0.539273	2.484948
0.542977	2.482937
0.546706	2.480957
0.55046	2.479009
0.55424	2.477091
0.558047	2.475203
0.561879	2.473345
0.565738	2.471515
0.569623	2.469714
0.573535	2.467941
0.577474	2.466195
0.58144	2.464476
0.585433	2.462784
0.589453	2.461118
0.593501	2.459477
0.597577	2.457861
0.601681	2.45627
0.605813	2.454704
0.609974	2.453161
0.614163	2.451642
0.61838	2.450145
0.622627	2.448672
0.626903	2.447221
0.631208	2.445791
0.635543	2.444384
0.639908	2.442997
0.644302	2.441631
0.648727	2.440286
0.653182	2.438961
0.657668	2.437656
0.662185	2.43637
0.666732	2.435103
0.671311	2.433856
0.675921	2.432627
0.680563	2.431416
0.685237	2.430223
0.689943	2.429047
0.694681	2.42789
0.699452	2.426749
0.704255	2.425625
0.709092	2.424517
0.713962	2.423426
0.718865	2.422351
0.723802	2.421291
0.728772	2.420247
0.733777	2.419219
0.738816	2.418205
0.74389	2.417206
0.748999	2.416222
0.754143	2.415252
0.759322	2.414296
0.764537	2.413354
0.769787	2.412425
0.775074	2.41151
0.780396	2.410608
0.785756	2.40972
0.791152	2.408844
0.796585	2.40798
0.802056	2.407129
0.807564	2.40629
0.81311	2.405464
0.818694	2.404649
0.824316	2.403845
0.829978	2.403053
0.835677	2.402273
0.841416	2.401503
0.847195	2.400745
0.853013	2.399997
0.858871	2.39926
0.86477	2.398533
0.870708	2.397817
0.876688	2.39711
0.882709	2.396414
0.888771	2.395727
0.894874	2.395051
0.90102	2.394383
0.907208	2.393725
0.913438	2.393076
0.919711	2.392437
0.926027	2.391806
0.932387	2.391184
0.93879	2.390571
0.945237	2.389966
0.951729	2.389369
0.958265	2.388781
0.964846	2.388201
0.971472	2.387629
0.978143	2.387065
0.984861	2.386509
0.991624	2.385961
0.998434	2.38542
1.00529	2.384886
1.0122	2.38436
1.01915	2.383841
1.02615	2.383329
1.03319	2.382824
1.04029	2.382326
1.04743	2.381834
1.05463	2.38135
1.06187	2.380872
1.06916	2.3804
1.0765	2.379935
1.0839	2.379476
1.09134	2.379023
1.09883	2.378577
1.10638	2.378136
1.11398	2.377701
1.12163	2.377272
1.12933	2.376849
1.13709	2.376431
1.1449	2.376019
1.15276	2.375613
1.16068	2.375212
1.16865	2.374816
1.17667	2.374425
1.18475	2.374039
1.19289	2.373659
1.20108	2.373283
1.20933	2.372913
1.21764	2.372547
1.226	2.372186
1.23442	2.37183
1.24289	2.371478
1.25143	2.371131
1.26002	2.370788
1.26868	2.37045
1.27739	2.370116
1.28616	2.369786
1.295	2.369461
1.30389	2.369139
1.31284	2.368822
1.32186	2.368509
1.33094	2.368199
1.34008	2.367894
1.34928	2.367592
1.35855	2.367294
1.36788	2.367
1.37727	2.366709
1.38673	2.366422
1.39625	2.366139
1.40584	2.365859
1.4155	2.365582
1.42522	2.365309
1.43501	2.365039
1.44486	2.364772
1.45478	2.364508
1.46477	2.364248
1.47483	2.363991
1.48496	2.363736
1.49516	2.363485
1.50543	2.363237
1.51577	2.362991
1.52618	2.362748
1.53666	2.362508
1.54721	2.362271
1.55784	2.362037
1.56853	2.361805
1.57931	2.361576
1.59015	2.361349
1.60107	2.361125
1.61207	2.360904
1.62314	2.360684
1.63429	2.360467
1.64551	2.360253
1.65681	2.360041
1.66819	2.359831
1.67964	2.359623
1.69118	2.359418
1.70279	2.359214
1.71449	2.359013
1.72626	2.358814
1.73812	2.358616
1.75005	2.358421
1.76207	2.358228
1.77417	2.358036
1.78636	2.357847
1.79863	2.357659
1.81098	2.357473
1.82342	2.357289
1.83594	2.357106
1.84855	2.356925
1.86124	2.356746
1.87402	2.356569
1.88689	2.356393
1.89985	2.356218
1.9129	2.356045
1.92604	2.355874
1.93926	2.355704
1.95258	2.355535
1.96599	2.355368
1.97949	2.355202
1.99309	2.355038
2.00677	2.354874
2.02055	2.354712
2.03443	2.354551
2.0484	2.354392
2.06247	2.354233
2.07663	2.354076
2.0909	2.353919
2.10525	2.353764
2.11971	2.35361
2.13427	2.353457
2.14893	2.353304
2.16369	2.353153
2.17854	2.353003
2.19351	2.352853
2.20857	2.352705
2.22374	2.352557
2.23901	2.35241
2.25439	2.352263
2.26987	2.352118
2.28546	2.351973
2.30115	2.351829
2.31695	2.351685
2.33287	2.351542
2.34889	2.3514
2.36502	2.351258
2.38126	2.351117
2.39761	2.350976
2.41408	2.350836
2.43066	2.350696
2.44735	2.350557
2.46416	2.350418
2.48108	2.350279
2.49812	2.350141
2.51528	2.350003
2.53255	2.349866
2.54994	2.349728
2.56745	2.349591
2.58509	2.349454
2.60284	2.349317
2.62071	2.349181
2.63871	2.349044
2.65683	2.348908
2.67508	2.348772
2.69345	2.348635
2.71195	2.348499
2.73057	2.348363
2.74932	2.348227
2.76821	2.34809
2.78722	2.347954
2.80636	2.347817
2.82563	2.34768
2.84504	2.347543
2.86457	2.347406
2.88425	2.347269
2.90405	2.347131
2.924	2.346993
2.94408	2.346855
2.9643	2.346716
2.98465	2.346577
3.00515	2.346438
3.02579	2.346298
3.04657	2.346158
3.06749	2.346017
3.08856	2.345875
3.10977	2.345733
3.13113	2.345591
3.15263	2.345448
3.17428	2.345304
3.19608	2.34516
3.21803	2.345015
3.24013	2.344869
3.26238	2.344722
3.28478	2.344575
3.30734	2.344426
3.33006	2.344277
3.35293	2.344127
3.37595	2.343976
3.39914	2.343824
3.42248	2.343671
3.44598	2.343517
3.46965	2.343362
3.49348	2.343206
3.51747	2.343049
3.54163	2.342891
3.56595	2.342731
3.59044	2.34257
3.61509	2.342408
3.63992	2.342244
3.66492	2.34208
3.69009	2.341913
3.71543	2.341746
3.74094	2.341577
3.76664	2.341406
3.7925	2.341234
3.81855	2.34106
3.84477	2.340885
3.87118	2.340708
3.89776	2.340529
3.92453	2.340349
3.95148	2.340167
3.97862	2.339983
4.00594	2.339797
4.03345	2.339609
4.06115	2.339419
4.08904	2.339227
4.11713	2.339033
4.1454	2.338837
4.17387	2.338639
4.20253	2.338439
4.23139	2.338236
4.26045	2.338031
4.28971	2.337824
4.31917	2.337614
4.34883	2.337402
4.3787	2.337188
4.40877	2.336971
4.43905	2.336751
4.46953	2.336528
4.50023	2.336303
4.53113	2.336075
4.56225	2.335844
4.59358	2.33561
4.62513	2.335374
4.65689	2.335134
4.68887	2.334891
4.72108	2.334645
4.7535	2.334396
4.78614	2.334143
4.81901	2.333887
4.85211	2.333628
4.88543	2.333365
4.91898	2.333098
4.95276	2.332828
4.98677	2.332554
5.02102	2.332277
5.0555	2.331995
5.09022	2.331709
5.12518	2.33142
5.16038	2.331126
5.19581	2.330828
5.2315	2.330526
5.26742	2.330219
5.3036	2.329908
5.34002	2.329592
5.37669	2.329272
5.41362	2.328946
5.4508	2.328616
5.48823	2.328281
5.52592	2.327941
5.56387	2.327596
5.60208	2.327245
5.64055	2.326889
5.67929	2.326528
5.71829	2.32616
5.75756	2.325787
5.7971	2.325409
5.83692	2.325024
5.877	2.324633
5.91736	2.324236
5.958	2.323832
5.99892	2.323422
6.04011	2.323005
6.0816	2.322581
6.12336	2.322151
6.16541	2.321713
6.20775	2.321268
6.25039	2.320816
6.29331	2.320356
6.33653	2.319888
6.38005	2.319412
6.42386	2.318928
6.46798	2.318436
6.5124	2.317936
6.55712	2.317426
6.60215	2.316908
6.64749	2.316381
6.69315	2.315845
6.73911	2.315299
6.78539	2.314743
6.83199	2.314178
6.87891	2.313602
6.92615	2.313016
6.97372	2.312419
7.02161	2.311812
7.06983	2.311193
7.11838	2.310563
7.16727	2.309921
7.21649	2.309267
7.26605	2.308601
7.31595	2.307923
7.36619	2.307231
7.41678	2.306527
7.46772	2.305809
7.519	2.305077

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: —

CdGa₂S₄ (Cadmium gallium sulfide): all datasets

About CdGa2S4 (Cadmium gallium sulfide)

Cadmium gallium sulfide (CdGa₂S₄) is an inorganic ternary compound that belongs to the family of chalcopyrite semiconductors. It commonly crystallizes in a tetragonal structure and is of interest for its optoelectronic and nonlinear optical properties. Due to its large bandgap and high nonlinear optical coefficients, CdGa₂S₄ is particularly suitable for frequency conversion applications in lasers, serving as a second- or third-harmonic generation material. Additionally, its capability to absorb and emit in the visible and near-infrared range makes it a potential material for photodetectors, photovoltaic cells, and light-emitting diodes. The compound is typically synthesized using techniques like solid-state reactions, chemical vapor deposition, or hydrothermal methods, allowing for control over its crystal quality and stoichiometry. Despite its promising properties, the presence of toxic cadmium necessitates careful handling and environmental considerations. Overall, CdGa₂S₄ offers a compelling array of attributes for optical and optoelectronic applications and continues to be a subject of active research.

More about CdGa2S4 (Cadmium gallium sulfide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/CdGa2S4/nk/Kato-e.yml
ID: ds_d4d3e29ea4d4
API: /v1/datasets/ds_d4d3e29ea4d4

Plot