Optical constants

Refractive index of BiFeO3 (Bismuth ferrite, BFO)

Kumar et al. 2008: n 0.197–1.67 µm, k 0.197–0.576 µm

Data
tabulated nk
Range
0.1971–1.669 µm
Points
702
Temperature
273 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.1971–1.669 µm
Refractive index n
3.04391
Extinction coefficient k
0
Permittivity ε1
9.2654
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-2.10692 µm⁻¹
Group index ng
4.28194
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

# BiFeO3 (Bismuth ferrite, BFO): Kumar et al. 2008: n 0.197–1.67 µm, k 0.197–0.576 µm
bifeo3 = ls.fetch_refractiveindex("main", "BiFeO3", "Kumar", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(bifeo3.range_nm)  # (197.06, 1669.3) nm
eps = bifeo3.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

25 nm BiFeO3 film grown on (100)SrTiO3 substrate.

Conditions

temperature
273 K

References

A. Kumar, R. C. Rai, N. J. Podraza, S. Denev, M. Ramirez, Y.-H. Chu, L. W. Martin, J. Ihlefeld, T. Heeg, J. Schubert, D. G. Schlom, J. Orenstein, R. Ramesh, R. W. Collins, J. L. Musfeldt, V. Gopalan. Linear and nonlinear optical properties of BiFeO3. Appl. Phys. Lett. 92, 121915 (2008) (Numerical data kindly provided by Ryan Haislmaier and Venkatraman Gopalan)

Cite

Amit Kumar et al.. Linear and nonlinear optical properties of BiFeO3. Applied Physics Letters, 92, 121915 (2008), doi:10.1063/1.2901168; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

702 rows as published
BiFeO3 (Bismuth ferrite, BFO), Kumar et al. 2008: n 0.197–1.67 µm, k 0.197–0.576 µm: n and k versus wavelength
λ (µm)nk
0.197062.197391.55945
0.198642.200771.54738
0.200222.203371.53628
0.20182.205261.52618
0.203372.206541.51711
0.204952.207291.50909
0.206532.207611.50212
0.208112.207571.49622
0.209692.207261.49139
0.211272.206761.48762
0.212852.206151.48492
0.214432.205521.48326
0.216012.204921.48263
0.217592.204451.48302
0.219182.204161.4844
0.220762.204131.48675
0.222342.204431.49003
0.223922.205121.49422
0.225512.206261.49927
0.227092.207921.50514
0.228672.210141.51181
0.230262.212991.51921
0.231842.216521.5273
0.233422.220771.53603
0.235012.22581.54535
0.236592.231641.55519
0.238182.238341.56551
0.239762.245921.57623
0.241352.254441.58729
0.242942.26391.59864
0.244522.274351.61019
0.246112.285791.62188
0.247692.298251.63363
0.249282.311741.64538
0.250872.326261.65705
0.252452.341821.66856
0.254042.358421.67983
0.255632.376041.6908
0.257222.394681.70137
0.25882.414321.71148
0.260392.434921.72105
0.261982.456481.73
0.263572.478941.73825
0.265162.502261.74574
0.266742.526411.75239
0.268332.551321.75814
0.269922.576951.76292
0.271512.603211.76667
0.27312.630051.76933
0.274692.657391.77086
0.276282.685141.7712
0.277872.713231.77032
0.279462.741571.76818
0.281052.770061.76477
0.282642.79861.76006
0.284232.827111.75404
0.285822.855481.74672
0.287412.883611.7381
0.2892.911421.7282
0.290592.938791.71704
0.292182.965651.70466
0.293772.99191.6911
0.295363.017441.6764
0.296953.042221.66064
0.298543.066141.64387
0.300133.089131.62616
0.301723.111151.60759
0.303313.132131.58823
0.30493.152031.56818
0.306493.170811.54752
0.308083.188441.52633
0.309683.204911.50471
0.311273.220181.48274
0.312863.234271.46051
0.314453.247161.43812
0.316043.258871.41563
0.317633.269421.39315
0.319223.278821.37074
0.320813.287091.34848
0.322413.294281.32645
0.3243.300411.30471
0.325593.305521.28332
0.327183.309661.26235
0.328773.312871.24185
0.330363.315191.22188
0.331953.316691.20247
0.333553.317391.18367
0.335143.317371.16553
0.336733.316671.14807
0.338323.315351.13134
0.339913.313461.11535
0.34153.311061.10014
0.34313.30821.08573
0.344693.304941.07214
0.346283.301341.05939
0.347873.297461.0475
0.349463.293361.03647
0.351053.28911.02632
0.352643.284731.01706
0.354243.280331.0087
0.355833.275951.00123
0.357423.271670.99466
0.359013.267550.98898
0.36063.263670.98419
0.362193.260090.98028
0.363783.25690.97723
0.365383.254160.97502
0.366973.251970.97362
0.368563.250390.97301
0.370153.249530.97313
0.371743.249450.97394
0.373333.250240.97537
0.374923.251990.97736
0.376513.254780.97982
0.37813.258680.98265
0.379693.263770.98576
0.381293.270110.98901
0.382883.277760.99226
0.384473.286740.99538
0.386063.297080.9982
0.387653.308791.00054
0.389243.321861.00224
0.390833.336221.0031
0.392423.351811.00295
0.394013.368541.0016
0.39563.386270.99889
0.397193.404850.99466
0.398783.424090.98877
0.400373.443790.98112
0.401963.463720.97163
0.403553.483640.96026
0.405143.503310.94701
0.406733.522480.9319
0.408323.54090.91501
0.409913.558380.89645
0.41153.574690.87636
0.413093.589670.85491
0.414683.603180.83229
0.416273.615120.8087
0.417863.62540.78435
0.419453.633990.75945
0.421043.640880.73422
0.422633.64610.70884
0.424223.649690.68349
0.425813.651720.65835
0.42743.652270.63356
0.428993.651440.60925
0.430573.649340.58551
0.432163.646080.56244
0.433753.641760.54011
0.435343.636510.51857
0.436933.630410.49785
0.438523.623590.47798
0.440113.616140.45897
0.44173.608150.44083
0.443283.599710.42355
0.444873.590890.40711
0.446463.581770.39151
0.448053.572420.37672
0.449643.562890.36271
0.451223.553250.34946
0.452813.543540.33695
0.45443.53380.32514
0.455993.524080.314
0.457583.514420.30349
0.459163.504840.29361
0.460753.495380.2843
0.462343.486060.27553
0.463933.476920.26729
0.465513.467960.25953
0.46713.459220.25223
0.468693.450710.24535
0.470283.442450.23886
0.471863.434450.23273
0.473453.426720.22693
0.475043.419290.22142
0.476623.412150.21617
0.478213.405320.21114
0.47983.39880.2063
0.481383.392580.2016
0.482973.386670.19701
0.484563.381060.1925
0.486143.375740.18801
0.487733.370690.18352
0.489313.365890.17899
0.49093.361310.17439
0.492493.356930.16969
0.494073.352710.16485
0.495663.34860.15987
0.497243.344570.15472
0.498833.340580.14941
0.500423.336570.14393
0.5023.332510.13829
0.503593.328350.13251
0.505173.324060.12662
0.506763.319610.12063
0.508343.314980.11459
0.509933.310140.10853
0.511513.305090.10249
0.51313.299820.0965
0.514683.294340.0906
0.516273.288650.08482
0.517853.282780.07919
0.519443.276720.07373
0.521023.270520.06848
0.522613.264190.06343
0.524193.257740.05862
0.525783.251220.05403
0.527363.244630.04969
0.528953.237990.04558
0.530533.231340.04171
0.532123.224680.03807
0.53373.218040.03467
0.535283.211430.03148
0.536873.204860.02851
0.538453.198340.02575
0.540043.191880.02318
0.541623.18550.0208
0.543213.17920.0186
0.544793.172990.01656
0.546373.166860.01469
0.547963.160830.01296
0.549543.154890.01138
0.551123.149060.00994
0.552713.143330.00862
0.554293.13770.00742
0.555873.132180.00633
0.557463.126760.00535
0.559043.121440.00446
0.560633.116230.00368
0.562213.111130.00298
0.563793.106130.00237
0.565373.101230.00184
0.566963.096440.00138
0.568543.091750.000994
0.570123.087170.000677
0.571713.082690.000424
0.573293.078330.000233
0.574873.074060.000101
0.576463.069922.39e-05
0.578043.065890.0
0.579623.062010.0
0.58123.058230.0
0.582793.054560.0
0.584373.050980.0
0.585953.047480.0
0.587533.044060.0
0.589123.040710.0
0.59073.037430.0
0.592283.034210.0
0.593863.031060.0
0.595453.027970.0
0.597033.024940.0
0.598613.021960.0
0.600193.019040.0
0.601783.016170.0
0.603363.013350.0
0.604943.010580.0
0.606523.007850.0
0.60813.005170.0
0.609693.002530.0
0.611272.999930.0
0.612852.997380.0
0.614432.994870.0
0.616012.992390.0
0.61762.989950.0
0.619182.987550.0
0.620762.985180.0
0.622342.982850.0
0.623922.980560.0
0.62552.978290.0
0.627092.976060.0
0.628672.973860.0
0.630252.971690.0
0.631832.969550.0
0.633412.967440.0
0.634992.965350.0
0.636582.96330.0
0.638162.961270.0
0.639742.959270.0
0.641322.95730.0
0.64292.955350.0
0.644482.953420.0
0.646062.951520.0
0.647652.949650.0
0.649232.94780.0
0.650812.945970.0
0.652392.944160.0
0.653972.942370.0
0.655552.940610.0
0.657132.938870.0
0.658712.937150.0
0.660292.935450.0
0.661882.933770.0
0.663462.93210.0
0.665042.930460.0
0.666622.928840.0
0.66822.927230.0
0.669782.925650.0
0.671362.924080.0
0.672942.922530.0
0.674522.9210.0
0.67612.919480.0
0.677682.917980.0
0.679262.91650.0
0.680852.915030.0
0.682432.913580.0
0.684012.912140.0
0.685592.910720.0
0.687172.909310.0
0.688752.907930.0
0.690332.906550.0
0.691912.905190.0
0.693492.903840.0
0.695072.902510.0
0.696652.901190.0
0.698232.899880.0
0.699812.898590.0
0.701392.897310.0
0.702972.896040.0
0.704552.894780.0
0.706132.893540.0
0.707712.892310.0
0.709292.89110.0
0.710872.889890.0
0.712452.88870.0
0.714032.887510.0
0.715612.886340.0
0.717192.885180.0
0.718772.884030.0
0.720352.88290.0
0.721932.881770.0
0.723512.880650.0
0.725092.879550.0
0.726672.878450.0
0.728252.877360.0
0.729832.876290.0
0.731412.875220.0
0.732992.874170.0
0.734572.873120.0
0.736152.872090.0
0.737732.871060.0
0.739312.870040.0
0.740892.869030.0
0.742472.868030.0
0.744052.867040.0
0.745632.866060.0
0.747212.865080.0
0.748782.864120.0
0.750362.863160.0
0.751942.862210.0
0.753522.861270.0
0.75512.860340.0
0.756682.859420.0
0.758262.85850.0
0.759842.857590.0
0.761412.856690.0
0.762992.85580.0
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0.767732.853170.0
0.769312.85230.0
0.770882.851450.0
0.772462.85060.0
0.774042.849760.0
0.775622.848920.0
0.77722.848090.0
0.778772.847270.0
0.780352.846460.0
0.781932.845650.0
0.78352.844850.0
0.785082.844050.0
0.786662.843270.0
0.788242.842480.0
0.789812.841710.0
0.791392.840940.0
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0.8042.834990.0
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0.807152.833560.0
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0.81032.832150.0
0.811882.831460.0
0.813452.830770.0
0.815032.830080.0
0.81662.82940.0
0.818182.828720.0
0.819752.828050.0
0.821332.827390.0
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0.824472.826070.0
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0.830772.82350.0
0.832342.822870.0
0.833912.822240.0
0.835492.821620.0
0.837062.8210.0
0.838632.820390.0
0.84022.819780.0
0.841772.819180.0
0.843352.818580.0
0.844922.817980.0
0.846492.817390.0
0.848062.81680.0
0.849632.816220.0
0.85122.815640.0
0.852772.815060.0
0.854342.814490.0
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0.865322.810610.0
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0.870032.8090.0
0.871592.808470.0
0.873162.807940.0
0.874732.807420.0
0.876292.80690.0
0.877862.806390.0
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0.978692.77920.0
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0.998542.774950.0
1.00012.774640.0
1.01232.772170.0
1.01582.77150.0
1.01922.770840.0
1.02262.770180.0
1.02612.769530.0
1.02952.76890.0
1.03292.768260.0
1.03632.767640.0
1.03982.767020.0
1.04322.766410.0
1.04662.76580.0
1.052.76520.0
1.05352.764610.0
1.05692.764030.0
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1.06382.762880.0
1.06722.762310.0
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1.172.747840.0
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1.18032.746620.0
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1.19062.745440.0
1.1942.745050.0
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1.20092.744290.0
1.20432.743910.0
1.20772.743540.0
1.21122.743170.0
1.21462.74280.0
1.2182.742440.0
1.22152.742080.0
1.22492.741720.0
1.22832.741370.0
1.23172.741020.0
1.23522.740670.0
1.23862.740330.0
1.2422.739990.0
1.24552.739650.0
1.24892.739310.0
1.25232.738980.0
1.25582.738660.0
1.25922.738330.0
1.26262.738010.0
1.26612.737690.0
1.26952.737370.0
1.27292.737060.0
1.27642.736740.0
1.27982.736440.0
1.28322.736130.0
1.28672.735830.0
1.29012.735530.0
1.29352.735230.0
1.2972.734930.0
1.30042.734640.0
1.30382.734350.0
1.30732.734060.0
1.31072.733770.0
1.31412.733490.0
1.31762.733210.0
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1.32442.732650.0
1.32792.732380.0
1.33132.732110.0
1.33472.731840.0
1.33822.731570.0
1.34162.731310.0
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1.34852.730780.0
1.35192.730530.0
1.35542.730270.0
1.35882.730010.0
1.36222.729760.0
1.36572.729510.0
1.36912.729260.0
1.37252.729020.0
1.3762.728770.0
1.37942.728530.0
1.38292.728290.0
1.38632.728050.0
1.38972.727820.0
1.39322.727580.0
1.39662.727350.0
1.42.727120.0
1.40352.726890.0
1.40692.726660.0
1.41042.726430.0
1.41382.726210.0
1.41722.725990.0
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1.4312.725110.0
1.43452.72490.0
1.43792.724690.0
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1.45862.723450.0
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1.46542.723050.0
1.46892.722850.0
1.47232.722650.0
1.47582.722460.0
1.47922.722260.0
1.48272.722070.0
1.48612.721880.0
1.48962.721690.0
1.4932.72150.0
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1.49992.721130.0
1.50342.720940.0
1.50682.720760.0
1.51022.720580.0
1.51372.72040.0
1.51712.720220.0
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1.58622.716890.0
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1.61392.715680.0
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1.62082.715380.0
1.62422.715240.0
1.62772.71510.0
1.63122.714950.0
1.63462.714810.0
1.63812.714670.0
1.64152.714530.0
1.6452.714390.0
1.64852.714250.0
1.65192.714120.0
1.65542.713980.0
1.65892.713840.0
1.66232.713710.0
1.66582.713580.0
1.66932.713440.0

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
—