Optical constants

Refractive index of MgF₂ (Magnesium fluoride)

Franta et al. 2017: n,k 0.0275–125 µm

Data: tabulated nk
Range: 0.0275–125.1 µm
Points: 3659
State: polycrystalline
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.38286
Extinction coefficient k: 1.97728e-18

Permittivity ε₁: 1.9123
Permittivity ε₂: 5.46859e-18

Absorption coefficient α: 4.22859e-13 cm⁻¹
Penetration depth δ = λ/(2πk): 4.72970e+19 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.0211718 µm⁻¹

Group index n_g: 1.3953
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — 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

# MgF2 (Magnesium fluoride): Franta et al. 2017: n,k 0.0275–125 µm
mgf2 = ls.fetch_refractiveindex("main", "MgF2", "Franta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mgf2.range_nm)  # (27.5043, 125141) nm
eps = mgf2.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_6e74eec52536/lightsmith"
mgf2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mgf2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (mgf2/franta-2017).

# ... load mgf2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mgf2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, 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.

Comments and conditions

Film MgF₂; Deposited by e-beam evaporation on c-Si; 134.2 nm thick film with an polycrystalline structure; Heterogenous data processing combining ellipsometric and spectrophotometric measurements; Room temperature.

Conditions

film thickness: 134.2e-9
substrate: c-Si

References

D. Franta, D. Nečas, A. Giglia, P. Franta, I. Ohlídal. Universal dispersion model for characterization of optical thin films over wide spectral range: Application to magnesium fluoride. Appl. Surf. Sci. 421, 424–429 (2017) (Numerical data kindly provided by Daniel Franta)

doi:10.1016/j.apsusc.2016.09.149 Universal dispersion model for characterization of optical thin films over wide spectral range: Application to magnesium fluoride, Applied Surface Science (2017)

Cite

Daniel Franta, David Nečas, Angelo Giglia, Pavel Franta and Ivan Ohlídal. Universal dispersion model for characterization of optical thin films over wide spectral range: Application to magnesium fluoride. Applied Surface Science, 421, 424-429 (2017), doi:10.1016/j.apsusc.2016.09.149; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

3659 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

MgF2 (Magnesium fluoride), Franta et al. 2017: n,k 0.0275–125 µm: n and k versus wavelength
λ (µm)	n	k
0.0275043	0.877031408467	0.0823003423743
0.0275677	0.877167547176	0.0829839056064
0.0276312	0.877286077969	0.0836487300764
0.0276949	0.877386476049	0.0842969722156
0.0277587	0.877468369225	0.0849307111739
0.0278227	0.877531520976	0.0855519463096
0.0278869	0.877575814969	0.0861625965257
0.0279512	0.877601241106	0.0867645011698
0.0280156	0.877607883144	0.0873594222413
0.0280802	0.877595907919	0.0879490476663
0.0281449	0.877565556209	0.0885349954299
0.0282098	0.877517135257	0.0891188183682
0.0282748	0.877451013001	0.0897020094444
0.02834	0.877367614074	0.0902860073431
0.0284053	0.877267417698	0.0908722022299
0.0284708	0.877150957672	0.0914619415242
0.0285364	0.877018824787	0.0920565355278
0.0286022	0.876871672295	0.0926572627335
0.0286682	0.876710225523	0.0932653745816
0.0287342	0.876535297847	0.0938820993179
0.0288005	0.876347817795	0.0945086443125
0.0288669	0.876148879483	0.0951461953611
0.0289334	0.875939857136	0.0957959082881
0.0290001	0.875722858378	0.0964588617008
0.029067	0.8755007937	0.0971331537408
0.029134	0.875271743505	0.0978174563758
0.0292011	0.875035188915	0.0985130108731
0.0292685	0.87479128717	0.0992209980445
0.0293359	0.874540478073	0.0999425803946
0.0294036	0.87428339468	0.100678909826
0.0294713	0.874020831996	0.101431127504
0.0295393	0.873753736162	0.102200359716
0.0296074	0.873483202801	0.102987710685
0.0296756	0.873210479968	0.103794252577
0.029744	0.872936973418	0.104621012658
0.0298126	0.872664252804	0.105468957491
0.0298813	0.872394057801	0.106338974
0.0299502	0.87212830327	0.107231847258
0.0300193	0.871869082601	0.108148234913
0.0300885	0.871618668358	0.10908863823
0.0301578	0.871379509243	0.110053369853
0.0302273	0.871154222388	0.111042518566
0.030297	0.870945579854	0.112055911529
0.0303669	0.870756488246	0.113093074729
0.0304369	0.870589960327	0.114153192702
0.030507	0.870449077617	0.115235068912
0.0305774	0.870336943152	0.116337088574
0.0306478	0.870256623845	0.117457186073
0.0307185	0.870211082334	0.118592819492
0.0307893	0.870203098771	0.119740955072
0.0308603	0.870235183692	0.120898064594
0.0309314	0.870309483965	0.122060138666
0.0310027	0.870427684718	0.123222718697
0.0310742	0.870590911061	0.124380949831
0.0311458	0.870799634322	0.125529656294
0.0312176	0.871053588169	0.126663439483
0.0312896	0.871351700406	0.127776797759
0.0313617	0.871692046227	0.128864265263
0.031434	0.872071828235	0.12992056546
0.0315065	0.872487387503	0.13094077354
0.0315791	0.872934248464	0.131920480516
0.0316519	0.87340719849	0.132855951055
0.0317249	0.873900400835	0.133744266855
0.031798	0.87440753743	0.134583447839
0.0318713	0.874921976025	0.13537254459
0.0319448	0.875436954576	0.136111697144
0.0320184	0.875945774858	0.136802157411
0.0320922	0.876441997047	0.137446274747
0.0321662	0.876919627493	0.138047446402
0.0322404	0.877373293093	0.138610036417
0.0323147	0.877798397246	0.139139267853
0.0323892	0.878191254293	0.139641093903
0.0324638	0.878549201249	0.14012205342
0.0325387	0.878870687315	0.140589115701
0.0326137	0.879155343003	0.14104951819
0.0326889	0.879404031425	0.141510599131
0.0327642	0.879618884435	0.141979625424
0.0328398	0.879803325691	0.142463614082
0.0329155	0.879962081357	0.142969144045
0.0329913	0.880101177076	0.143502153872
0.0330674	0.880227917008	0.14406772022
0.0331436	0.880350837328	0.144669812409
0.03322	0.880479622628	0.145311020042
0.0332966	0.880624969694	0.145992254121
0.0333734	0.880798379585	0.14671242768
0.0334503	0.881011856845	0.14746813006
0.0335274	0.881277495254	0.14825331945
0.0336047	0.881606934543	0.149059070699
0.0336822	0.882010683531	0.149873427988
0.0337598	0.88249732364	0.150681421929
0.0338376	0.883072632599	0.151465314007
0.0339156	0.883738699212	0.152205123082
0.0339938	0.884493130939	0.1528794648
0.0340722	0.885328478253	0.15346669362
0.0341507	0.886232003251	0.153946282132
0.0342294	0.887185896116	0.15430031319
0.0343084	0.888167989078	0.154514912257
0.0343874	0.889152939996	0.154581426925
0.0344667	0.890113773045	0.154497179696
0.0345462	0.891023594422	0.154265679653
0.0346258	0.891857266723	0.153896266505
0.0347056	0.892592836961	0.153403254207
0.0347856	0.893212566081	0.152804716871
0.0348658	0.893703485891	0.152121099594
0.0349462	0.894057490593	0.151373836192
0.0350268	0.894271035452	0.150584121862
0.0351075	0.894344553515	0.149771936144
0.0351884	0.894281711583	0.148955356036
0.0352695	0.894088614704	0.148150152514
0.0353509	0.893773043542	0.147369632182
0.0354323	0.893343779912	0.146624669875
0.035514	0.892810049007	0.145923874873
0.0355959	0.892181085811	0.145273838786
0.0356779	0.891465818942	0.144679422939
0.0357602	0.890672656977	0.14414405407
0.0358426	0.889809358918	0.143670007434
0.0359253	0.888882970283	0.143258664829
0.0360081	0.887899807986	0.14291074147
0.0360911	0.886865479853	0.142626480103
0.0361743	0.885784927441	0.142405813581
0.0362577	0.884662483572	0.14224849877
0.0363413	0.883501938335	0.142154225383
0.036425	0.882306609287	0.142122703556
0.036509	0.881079413108	0.142153733743
0.0365932	0.879822937165	0.14224726218
0.0366775	0.878539510324	0.142403424621
0.0367621	0.877231273022	0.142622580566
0.0368468	0.875900247081	0.142905339614
0.0369317	0.874548406085	0.14325258107
0.0370169	0.873177747405	0.143665467361
0.0371022	0.871790367094	0.144145451272
0.0371877	0.870388538965	0.144694276425
0.0372735	0.86897479916	0.145313969755
0.0373594	0.867552037416	0.146006824027
0.0374455	0.866123595957	0.146775367612
0.0375318	0.864693376502	0.147622317791
0.0376184	0.863265955084	0.148550512818
0.0377051	0.861846703206	0.149562816856
0.037792	0.860441912113	0.150661990768
0.0378791	0.859058914462	0.151850520817
0.0379664	0.857706194296	0.153130396761
0.038054	0.856393471756	0.154502831171
0.0381417	0.855131743457	0.155967913517
0.0382296	0.853933252979	0.157524196586
0.0383177	0.852811359252	0.159168220019
0.0384061	0.851780264694	0.160893987305
0.0384946	0.850854562179	0.162692429142
0.0385833	0.85004856299	0.164550907771
0.0386723	0.84937538093	0.166452842065
0.0387614	0.848845774614	0.168377557844
0.0388508	0.848466793309	0.170300484826
0.0389404	0.84824033043	0.172193820607
0.0390301	0.848161755531	0.17402775178
0.0391201	0.848218854709	0.175772254421
0.0392103	0.848391338316	0.177399391498
0.0393007	0.848651150125	0.178885898787
0.0393913	0.848963719576	0.180215734806
0.0394821	0.849290144899	0.181382204619
0.0395731	0.849590112518	0.182389285936
0.0396643	0.849825198866	0.183251898934
0.0397557	0.849962116502	0.183995044388
0.0398474	0.849975485965	0.184651935355
0.0399392	0.849849829606	0.185261405617
0.0400313	0.849580651824	0.185864950579
0.0401236	0.849174635385	0.186503734327
0.0402161	0.848649098183	0.187215803555
0.0403088	0.848030895541	0.1880336273
0.0404017	0.847354922685	0.188981974227
0.0404949	0.846662292312	0.190076078925
0.0405882	0.845998164747	0.191320052683
0.0406818	0.845409128196	0.19270556565
0.0407756	0.84494000042	0.194210955725
0.0408696	0.844629987164	0.195801076809
0.0409638	0.844508313989	0.197428332136
0.0410582	0.844589745314	0.199035366111
0.0411528	0.844870756719	0.200559717724
0.0412477	0.845327395088	0.201940312927
0.0413428	0.845915853108	0.203125043125
0.0414381	0.84657634768	0.204078048993
0.0415336	0.847240050759	0.204785022278
0.0416294	0.847837853313	0.205255115478
0.0417253	0.848309084889	0.205518911445
0.0418215	0.848608304083	0.205623022722
0.0419179	0.848708932456	0.205622773699
0.0420146	0.848603498046	0.205574715505
0.0421114	0.848301136547	0.205530411911
0.0422085	0.847823467209	0.205532273882
0.0423058	0.847199976698	0.205611544644
0.0424033	0.84646376135	0.205788070495
0.0425011	0.845648099451	0.20607129365
0.042599	0.844783997978	0.206461912976
0.0426972	0.843898644242	0.206953778919
0.0427957	0.843014589774	0.207535737999
0.0428943	0.842149469922	0.208193272252
0.0429932	0.841316082864	0.20890987239
0.0430923	0.840522689303	0.209668140826
0.0431917	0.839773433267	0.21045065042
0.0432912	0.839068817481	0.211240596289
0.043391	0.8384061918	0.212022278999
0.043491	0.837780230453	0.212781453421
0.0435913	0.837183385142	0.213505571634
0.0436918	0.836606307801	0.214183942376
0.0437925	0.836038240716	0.214807824427
0.0438935	0.835467373664	0.215370467223
0.0439946	0.83488116862	0.215867108947
0.0440961	0.834266652834	0.216294940134
0.0441977	0.83361068111	0.216653039316
0.0442996	0.832900167992	0.216942286225
0.0444017	0.832122290481	0.217165257459
0.0445041	0.83126466191	0.217326109146
0.0446067	0.830315477654	0.217430450979
0.0447095	0.829263633595	0.217485215943
0.0448126	0.828098818588	0.217498530071
0.0449159	0.826811582676	0.217479586613
0.0450194	0.82539338352	0.217438528992
0.0451232	0.82383661434	0.21738634685
0.0452272	0.822134617768	0.217334789164
0.0453315	0.820281691234	0.217296297858
0.045436	0.818273090844	0.217283964348
0.0455407	0.816105042067	0.217311509956
0.0456457	0.813774766723	0.217393289008
0.0457509	0.81128053655	0.21754431064
0.0458564	0.808621763745	0.217780271873
0.0459621	0.805799137964	0.218117590504
0.0460681	0.802814817021	0.218573422022
0.0461743	0.799672674664	0.219165640551
0.0462807	0.796378603019	0.219912760211
0.0463874	0.792940859727	0.220833771067
0.0464943	0.789370440477	0.221947863808
0.0466015	0.785681447232	0.223274020203
0.0467089	0.781891411799	0.22483045315
0.0468166	0.77802152475	0.226633891147
0.0469245	0.774096712847	0.22869871742
0.0470327	0.770145505736	0.231035993356
0.0471411	0.766199636877	0.233652417825
0.0472498	0.762293335958	0.236549296476
0.0473587	0.758462291318	0.239721614877
0.0474679	0.754742290859	0.243157322831
0.0475773	0.75116758654	0.246836940392
0.047687	0.747769066952	0.250733585832
0.0477969	0.744572359211	0.254813500477
0.0479071	0.741596009148	0.259037105885
0.0480175	0.738849901724	0.263360579143
0.0481282	0.736334077904	0.267737878676
0.0482392	0.734038079627	0.272123103661
0.0483504	0.731940914127	0.276473032115
0.0484618	0.730011678863	0.280749660587
0.0485736	0.72821083549	0.284922562901
0.0486855	0.72649207053	0.28897089473
0.0487978	0.724804634153	0.292884892225
0.0489102	0.723096007326	0.296666745939
0.049023	0.721314714391	0.300330777336
0.049136	0.719413079375	0.303902904516
0.0492493	0.717349728801	0.307419450767
0.0493628	0.715091676011	0.310925411456
0.0494766	0.712615876609	0.314472336812
0.0495907	0.709910207685	0.318116001789
0.049705	0.706973878982	0.321914021923
0.0498196	0.70381732281	0.325923546452
0.0499344	0.700461630427	0.330199128789
0.0500495	0.696937611393	0.334790847352
0.0501649	0.693284555341	0.339742728381
0.0502805	0.6895487769	0.345091505142
0.0503964	0.685782025422	0.350865731891
0.0505126	0.682039840817	0.357085254538
0.0506291	0.678379933723	0.363761022639
0.0507458	0.674860661081	0.370895209986
0.0508628	0.67153965635	0.37848159538
0.05098	0.668472657387	0.386506142837
0.0510975	0.665712555534	0.394947713247
0.0512153	0.663308668583	0.403778838422
0.0513334	0.661306220008	0.41296649385
0.0514517	0.659745989571	0.422472817826
0.0515703	0.658664087664	0.432255740618
0.0516892	0.658091798938	0.442269506108
0.0518084	0.658055440148	0.452465087919
0.0519278	0.658576182451	0.462790520402
0.0520475	0.659669798742	0.473191180563
0.0521675	0.661346310965	0.483610068902
0.0522877	0.663609529325	0.49398814466
0.0524083	0.666456494128	0.504264773775
0.0525291	0.66987685056	0.514378345679
0.0526502	0.67385220623	0.524267107721
0.0527716	0.678355539896	0.53387025295
0.0528932	0.683350745912	0.54312927783
0.0530151	0.688792410742	0.551989601004
0.0531373	0.694625922775	0.560402402774
0.0532598	0.700788011686	0.568326609213
0.0533826	0.707207795871	0.575730907738
0.0535057	0.713808384389	0.582595647428
0.053629	0.720509033301	0.588914453437
0.0537526	0.727227798661	0.594695377068
0.0538766	0.733884565738	0.599961416851
0.0540008	0.740404275523	0.604750284004
0.0541252	0.746720125563	0.609113346061
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2.68164	1.36796785663	4.71426924229e-09
2.68782	1.36791532333	4.10379962424e-09
2.69401	1.36786258191	3.57090709312e-09
2.70022	1.36780963782	3.10594288477e-09
2.70645	1.36775648535	2.700428946e-09
2.71269	1.36770312221	2.34691992166e-09
2.71894	1.36764954949	2.03888089481e-09
2.72521	1.36759576471	1.77057912661e-09
2.73149	1.36754176099	1.53698823699e-09
2.73779	1.36748754013	1.33370345237e-09
2.7441	1.36743309835	1.15686673623e-09

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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: —

Plot