Optical constants

Refractive index of Franckeite

Gant et al. 2017: n,k 0.444–0.778 µm

Data
tabulated nk
Range
0.444–0.7776 µm
Points
1471
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.444–0.7776 µm
Refractive index n
3.46973
Extinction coefficient k
0.64121
Permittivity ε1
11.6279
Permittivity ε2
4.44966
Absorption coefficient α
137129 cm⁻¹
Penetration depth δ = λ/(2πk)
145.848 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-3.98008 µm⁻¹
Group index ng
5.80843
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = 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

# Franckeite: Gant et al. 2017: n,k 0.444–0.778 µm
franckeite = ls.fetch_refractiveindex("other", "franckeite", "Gant", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(franckeite.range_nm)  # (443.974, 777.601) nm
eps = franckeite.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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.

Comments and conditions

Optical constants derived from reflectance spectra of 25-170 nm franckeite films on SiO2/Si substrate.

Conditions

substrate
SiO2/Si

References

P. Gant, F. Ghasemi, D. Maeso, C. Munuera, E. López-Elvira, R. Frisenda, D. Pérez De Lara, G. Rubio-Bollinger, M. Garcia-Hernandez, A. Castellanos-Gomez. Optical contrast and refractive index of natural van der Waals heterostructure nanosheets of franckeite. Beilstein J. Nanotechnol. 8, 2357-2362 (2017) (Numerical data kindly provided by Andres Castellanos-Gomez)
  • doi:10.3762/bjnano.8.235 Optical contrast and refractive index of natural van der Waals heterostructure nanosheets of franckeite, Beilstein Journal of Nanotechnology (2017)

Cite

Patricia Gant et al.. Optical contrast and refractive index of natural van der Waals heterostructure nanosheets of franckeite. Beilstein Journal of Nanotechnology, 8, 2357-2362 (2017), doi:10.3762/bjnano.8.235; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1471 rows as published
Franckeite, Gant et al. 2017: n,k 0.444–0.778 µm: n and k versus wavelength
λ (µm)nk
0.44397412.61.3333
0.44419322.51331.3044
0.44441222.4561.32
0.44463142.42951.3305
0.44485052.39811.3333
0.44506962.38381.3438
0.44528872.37521.3505
0.44550792.37811.3514
0.4457272.38291.3505
0.44594622.38571.3495
0.44616542.39051.3467
0.44638462.39141.3457
0.44660382.39241.3448
0.4468232.39521.3419
0.44704232.41.339
0.44726152.4011.3381
0.44748072.40571.3352
0.44772.40861.3343
0.44791932.41141.3333
0.44813862.41241.3324
0.44835792.41331.3333
0.44857722.41241.3343
0.44879652.41141.3352
0.44901582.41051.3362
0.44923522.40951.3371
0.44945452.41051.3362
0.44967392.40951.3371
0.44989332.41051.3362
0.45011272.40951.3371
0.45033222.41241.3362
0.45055162.41141.3371
0.4507712.41431.3362
0.45099042.41521.3371
0.45120992.41811.3362
0.45142942.4191.3371
0.45164882.42191.3362
0.45186842.4211.3371
0.45208782.42381.3362
0.45230742.42291.3371
0.45252692.42381.3362
0.45274642.42291.3371
0.4529662.42381.3362
0.45318552.42291.3371
0.45340512.42381.3362
0.45362472.42291.3371
0.45384432.42571.3362
0.45406392.42671.3371
0.45428352.42951.3362
0.45450322.43051.3371
0.45472282.43331.3362
0.45494252.43431.3371
0.45516222.43711.3362
0.45538182.441.3352
0.45560152.44291.3343
0.45582132.44571.3333
0.4560412.44861.3324
0.45626072.45141.3314
0.45648042.45431.3305
0.45670022.4591.3295
0.45691992.461.3305
0.45713972.46291.3295
0.45735952.46381.3305
0.45757932.46671.3295
0.45779912.46761.3305
0.45801892.47241.3295
0.45823882.47141.3305
0.45845872.47431.3295
0.45867852.47521.3305
0.45889842.47811.3295
0.45911832.4791.3305
0.45933812.48381.3295
0.4595582.48481.3305
0.4597782.48951.3295
0.45999792.49431.3286
0.46021792.4991.3276
0.46043782.50381.3267
0.46065782.50861.3257
0.46087782.51141.3248
0.46109782.51431.3238
0.46131782.51521.3248
0.46153782.51431.3257
0.46175782.51331.3267
0.46197782.51431.3276
0.46219792.51521.3286
0.46241792.51621.3295
0.4626382.51711.3305
0.46285812.521.3295
0.46307822.52481.3286
0.46329832.52951.3276
0.46351842.53241.3267
0.46373862.53521.3257
0.46395872.53811.3248
0.46417892.5411.3238
0.4643992.54571.3229
0.46461922.54671.3238
0.46483942.54951.3229
0.46505962.55241.3238
0.46527982.55711.3229
0.46552.561.3238
0.46572032.56481.3229
0.46594052.56571.3238
0.46616082.57051.3229
0.46638112.57331.3238
0.46660142.57621.3229
0.46682162.5811.3219
0.46704192.58571.321
0.46726232.58861.3219
0.46748262.59331.321
0.46770292.59811.32
0.46792332.60291.319
0.46814372.60761.3181
0.46836412.60861.319
0.46858442.61331.3181
0.46880492.61811.3171
0.46902522.62291.3162
0.46924572.62381.3171
0.46946612.62861.3162
0.46968662.63141.3171
0.4699072.63621.3162
0.47012752.63711.3171
0.4703482.64191.3162
0.47056852.64481.3171
0.4707892.64951.3162
0.47100952.65431.3152
0.471232.6591.3143
0.47145062.66381.3133
0.47167112.66861.3124
0.47189172.67331.3114
0.47211232.67811.3105
0.47233292.68291.3095
0.47255342.68761.3086
0.47277412.69241.3076
0.47299472.69521.3086
0.47321532.70191.3076
0.4734362.70671.3067
0.47365662.71141.3057
0.47387732.71811.3048
0.47409792.7211.3057
0.47431872.72571.3048
0.47453942.73051.3038
0.47476012.73331.3029
0.47498082.73811.3019
0.47520152.74291.301
0.47542232.74381.3019
0.4756432.74671.301
0.47586392.75141.3
0.47608462.75621.299
0.47630542.7611.2981
0.47652622.76381.299
0.4767472.76861.2981
0.47696792.77331.2971
0.47718872.77811.2962
0.47740962.78291.2952
0.47763042.78761.2943
0.47785142.79241.2933
0.47807222.79521.2924
0.47829312.81.2914
0.4785142.80481.2905
0.4787352.80951.2895
0.47895592.81051.2905
0.47917692.81521.2895
0.47939782.821.2886
0.47961882.82481.2876
0.47983982.82761.2867
0.48006082.83051.2857
0.48028172.83331.2848
0.48050282.83621.2838
0.48072382.8391.2829
0.48094492.84191.2819
0.48116592.84481.281
0.4813872.84761.28
0.48160812.85241.279
0.48182912.85711.2781
0.48205022.86191.2771
0.48227132.86481.2762
0.48249252.86951.2752
0.48271362.87431.2743
0.48293482.8791.2733
0.48315592.88381.2705
0.48337712.88671.2695
0.48359832.89141.2667
0.48381942.89621.2657
0.48404072.8991.2648
0.48426192.90191.2638
0.48448312.90481.2629
0.48470432.90951.2619
0.48492562.91431.261
0.48514682.9191.26
0.48536812.92191.259
0.48558942.92671.2581
0.48581072.93141.2571
0.4860322.93621.2562
0.48625332.9391.2552
0.48647462.94191.2543
0.4866962.94481.2533
0.48691732.94761.2524
0.48713872.94861.2514
0.48736012.95331.2486
0.48758152.95621.2476
0.48780292.9591.2467
0.48802432.96191.2457
0.48824572.96481.2448
0.48846722.96951.2419
0.48868862.97241.241
0.488912.97521.24
0.48913152.97811.239
0.4893532.9811.2381
0.48957452.98571.2352
0.4897962.98861.2343
0.49001752.99141.2333
0.4902392.99431.2324
0.49046062.99521.2314
0.49068212.99811.2286
0.49090363.0011.2276
0.49112523.00381.2267
0.49134683.00671.2257
0.49156843.00951.2248
0.491793.01241.2238
0.49201163.01521.2229
0.49223323.01811.2219
0.49245493.0191.221
0.49267653.021.22
0.49289823.02291.219
0.49311983.02571.2181
0.49334163.03051.2152
0.49356323.03331.2143
0.49378493.03621.2133
0.49400663.0411.2105
0.49422843.04381.2095
0.49445013.04671.2067
0.49467193.04951.2057
0.49489373.05241.2048
0.49511553.05711.2019
0.49533723.061.201
0.4955593.06291.2
0.49578093.06571.199
0.49600273.06861.1981
0.49622453.07141.1952
0.49644633.07241.1943
0.49666823.07331.1933
0.49689013.07621.1924
0.4971123.0791.1914
0.49733393.08381.1886
0.49755573.08671.1876
0.49777763.08951.1867
0.49799953.09241.1857
0.49822153.09521.1848
0.49844353.09811.1819
0.49866543.0991.181
0.49888743.11.18
0.49910933.10291.1771
0.49933133.10381.1762
0.49955343.10671.1733
0.49977543.10761.1724
0.49999743.10861.1714
0.50021943.11141.1686
0.50044153.11431.1676
0.50066353.11711.1667
0.50088563.121.1657
0.50110773.12291.1648
0.50132983.12761.1619
0.50155193.13051.161
0.5017743.13331.16
0.50199613.13431.159
0.50221833.13521.1581
0.50244043.13811.1552
0.50266263.1391.1543
0.50288473.141.1533
0.50310693.14291.1505
0.50332923.14381.1495
0.50355133.14671.1467
0.50377353.14951.1457
0.50399583.15241.1448
0.5042183.15521.1438
0.50444033.15811.1429
0.50466263.1611.1419
0.50488483.16381.141
0.50510713.16671.14
0.50532943.16761.139
0.50555173.16861.1381
0.5057743.17141.1352
0.50599643.17241.1343
0.50621873.17331.1333
0.50644113.17621.1305
0.50666343.17711.1295
0.50688583.181.1267
0.50710823.1811.1257
0.50733063.18191.1248
0.5075533.18481.1219
0.50777543.18571.121
0.50799793.18671.12
0.50822033.18951.1171
0.50844283.19051.1162
0.50866533.19331.1133
0.50888773.19621.1124
0.50911023.1991.1114
0.50933273.20191.1086
0.50955523.20481.1076
0.50977773.20761.1067
0.51000023.21051.1057
0.51022283.21331.1048
0.51044543.21621.1019
0.51066793.21711.101
0.51089053.221.1
0.51111313.2211.099
0.51133573.22191.0981
0.51155833.22481.0952
0.51178093.22571.0943
0.51200363.22671.0933
0.51222623.22951.0905
0.51244893.23051.0895
0.51267153.23331.0867
0.51289423.23621.0838
0.51311693.23711.0829
0.51333963.241.08
0.51356233.2411.079
0.51378513.24191.0781
0.51400783.24481.0752
0.51423053.24571.0743
0.51445333.24671.0733
0.51467613.24951.0705
0.51489883.25051.0695
0.51512163.25331.0667
0.51534443.25431.0657
0.51556733.25521.0648
0.51579013.25811.0619
0.51601293.2591.061
0.51623583.261.06
0.51645863.2611.059
0.51668153.26191.0581
0.51690433.26481.0552
0.51712733.26571.0543
0.51735013.26671.0533
0.51757313.26761.0524
0.5177963.26861.0514
0.51801893.27141.0486
0.51824193.27241.0476
0.51846483.27331.0467
0.51868783.27431.0457
0.51891083.27521.0448
0.51913383.27811.0419
0.51935683.2791.041
0.51957983.281.04
0.51980283.28291.0371
0.52002583.28381.0362
0.52024893.28671.0333
0.5204723.28761.0324
0.5206953.28861.0314
0.52091813.29141.0286
0.52114123.29241.0276
0.52136433.29331.0267
0.52158753.29621.0238
0.52181063.29711.0229
0.52203373.31.02
0.52225683.3011.019
0.522483.30191.0181
0.52270313.30481.0152
0.52292643.30571.0143
0.52314953.30671.0133
0.52337273.30761.0124
0.52359593.30861.0114
0.52381923.31141.0086
0.52404243.31241.0076
0.52426563.31331.0067
0.5244893.31431.0038
0.52471223.31521.0029
0.52493553.31621.0
0.52515873.31710.9971
0.52538213.31810.9962
0.52560543.3190.9933
0.52582873.320.9924
0.5260523.3210.9914
0.52627543.32190.9886
0.52649873.32290.9876
0.52672213.32380.9867
0.52694553.32480.9838
0.52716883.32570.9829
0.52739233.32670.98
0.52761573.32950.9771
0.52783913.33050.9762
0.52806253.33330.9733
0.5282863.33430.9724
0.52850953.33520.9714
0.52873293.33810.9686
0.52895643.3390.9676
0.52917993.340.9667
0.52940343.3410.9657
0.52962693.34190.9648
0.52985043.34290.9638
0.53007393.34380.9629
0.53029753.34290.9619
0.5305213.34380.961
0.53074463.34290.96
0.53096823.34380.9571
0.53119183.34290.9562
0.53141533.34380.9533
0.5316393.34480.9505
0.53186263.34570.9495
0.53208623.34670.9467
0.53230993.34760.9457
0.53253353.34860.9448
0.53275723.35140.9419
0.53298093.35240.941
0.53320463.35330.94
0.53342823.35430.939
0.5336523.35520.9381
0.53387573.35810.9352
0.53409943.3590.9343
0.53432313.360.9333
0.53454693.3610.9324
0.53477073.36190.9314
0.53499453.36290.9286
0.53521833.36380.9276
0.5354423.36290.9267
0.53566583.36380.9257
0.53588973.36480.9248
0.53611353.36570.9219
0.53633733.36670.921
0.53656123.36760.92
0.53678513.36860.9171
0.53700893.36950.9162
0.53723283.37050.9133
0.53745673.36950.9124
0.53768063.37050.9114
0.53790453.37140.9086
0.53812843.37240.9076
0.53835243.37330.9067
0.53857633.37430.9057
0.53880043.37520.9048
0.53902433.37810.9019
0.53924833.3790.901
0.53947223.380.9
0.53969633.3810.899
0.53992033.38190.8981
0.54014433.38290.8952
0.54036843.38380.8943
0.54059243.38290.8933
0.54081653.38380.8905
0.54104053.38290.8895
0.54126463.38380.8867
0.54148873.38290.8857
0.54171273.38380.8848
0.54193693.38480.8819
0.5421613.38570.881
0.54238513.38670.88
0.54260933.38760.879
0.54283343.38860.8781
0.54305763.38950.8771
0.54328183.39050.8762
0.5435063.39140.8752
0.54373023.39240.8743
0.54395443.39330.8733
0.54417873.39430.8724
0.54440293.39520.8714
0.54462713.39810.8686
0.54485143.3990.8676
0.54507563.40.8667
0.54529993.4010.8657
0.54552423.40190.8648
0.54574853.40290.8619
0.54597273.40380.861
0.54619713.40480.86
0.54642143.40570.859
0.54664583.40670.8581
0.54687013.40760.8552
0.54709453.40860.8543
0.54731883.40950.8533
0.54754323.41050.8505
0.54776763.40950.8495
0.5479923.41050.8467
0.54821643.41140.8457
0.54844083.41240.8448
0.54866533.41330.8419
0.54888983.41430.841
0.54911423.41520.84
0.54933873.41620.839
0.54956323.41710.8381
0.54978763.41620.8371
0.55001223.41710.8362
0.55023673.41810.8352
0.55046123.4190.8343
0.55068573.420.8333
0.55091033.4210.8324
0.55113493.42190.8314
0.55135943.42290.8305
0.5515843.42380.8295
0.55180863.42480.8286
0.55203323.42570.8276
0.55225773.42670.8267
0.55248243.42760.8257
0.5527073.42860.8248
0.55293163.43140.8219
0.55315633.43240.821
0.5533813.43330.82
0.55360563.43430.819
0.55383033.43520.8181
0.55405513.43620.8152
0.55427973.43710.8143
0.55450443.43620.8133
0.55472923.43710.8124
0.55495393.43620.8114
0.55517873.43710.8086
0.55540343.43620.8076
0.55562823.43710.8067
0.5558533.43620.8057
0.55607783.43710.8048
0.55630263.43620.8038
0.55652743.43710.8029
0.55675223.43810.8019
0.55697713.4390.801
0.55720183.440.8
0.55742673.4410.799
0.55765163.44190.7981
0.55787653.44290.7971
0.55810143.44380.7962
0.55832633.44290.7952
0.55855123.44380.7943
0.55877613.44290.7933
0.5590013.44380.7924
0.5592263.44290.7914
0.55945093.44380.7886
0.55967593.44290.7876
0.55990093.44380.7867
0.56012583.44290.7857
0.56035083.44380.7848
0.56057583.44480.7819
0.56080083.44570.781
0.56102593.44670.78
0.56125093.44760.779
0.56147593.44860.7781
0.5617013.44950.7771
0.56192613.45050.7762
0.56215113.45140.7752
0.56237633.45240.7743
0.56260133.45330.7733
0.56282653.45430.7724
0.56305163.45520.7714
0.56327673.45620.7686
0.56350193.45710.7676
0.5637273.45620.7667
0.56395213.45710.7657
0.56417733.45620.7648
0.56440253.45710.7619
0.56462773.45620.761
0.5648533.45710.76
0.56507823.45620.759
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0.70711213.68290.2943
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0.71058293.70670.301
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0.71428713.73140.3086
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0.77760074.13330.2667

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—