Optical constants

Refractive index of B4C (Boron carbide)

Larruquert et al. 2012: n,k 0.001738–21.54 µm

Data
tabulated nk
Range
0.001738–21.54 µm
Points
1480
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.001738–21.54 µm
Refractive index n
3.23159
Extinction coefficient k
0.533303
Permittivity ε1
10.1588
Permittivity ε2
3.44683
Absorption coefficient α
114052 cm⁻¹
Penetration depth δ = λ/(2πk)
175.359 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.409216 µm⁻¹
Group index ng
2.99113
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

# B4C (Boron carbide): Larruquert et al. 2012: n,k 0.001738–21.54 µm
b4c = ls.fetch_refractiveindex("main", "B4C", "Larruquert", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(b4c.range_nm)  # (1.73771, 21538.1) nm
eps = b4c.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

Density: 2.28 g/cm3. Film deposited at room temperature.

References

J. I. Larruquert, A. P. Pérez-Marín, S. García-Cortés, L. Rodríguez-de Marcos, J. A. Aznárez, J. A. Méndez. Self-consistent optical constants of sputter-deposited B4C thin films. J. Opt. Soc. Am. A 29, 117-123 (2012) (Numerical data kindly provided by Juan Larruquert)
  • doi:10.1364/josaa.29.000117 Self-consistent optical constants of sputter-deposited B_4C thin films, Journal of the Optical Society of America A (2011)

Cite

Juan I. Larruquert et al.. Self-consistent optical constants of sputter-deposited B_4C thin films. Journal of the Optical Society of America A, 29, 117 (2011), doi:10.1364/josaa.29.000117; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1480 rows as published
B4C (Boron carbide), Larruquert et al. 2012: n,k 0.001738–21.54 µm: n and k versus wavelength
λ (µm)nk
0.0017377090.999057110.000132914
0.0017401790.999054480.000134612
0.0017426690.999052290.000135253
0.0017451990.999050320.000136325
0.0017476790.999048230.000135851
0.0017501890.999045330.000135771
0.0017526790.999041330.000135338
0.0017551990.999038240.000138289
0.0017576590.999036530.000138395
0.0017602090.999032950.000137945
0.001762690.999030060.000140532
0.001765150.999027910.00014046
0.00176770.999024820.000141444
0.001770210.999022430.000142897
0.001772670.999020780.000143643
0.00177520.999018160.000142822
0.001777710.999015460.000143945
0.001780160.999011880.000142528
0.00178270.999008110.000145386
0.001785190.999005640.000146054
0.001787690.999003870.000148228
0.001790210.999001620.000146954
0.0017927110.998999120.00014866
0.0017952110.998996360.000147082
0.0017976810.998992340.000148057
0.0018001810.998988960.000149353
0.0018026910.998986760.000151357
0.0018051710.998984390.000150734
0.0018077110.998980490.000151396
0.0018101610.998978230.000154066
0.0018127110.998975680.000153091
0.0018152210.99897240.000155154
0.0018176910.998970990.000156627
0.0018202010.998968880.000155413
0.0018227120.998964510.000155056
0.0018251620.998961710.000158445
0.0018276820.998960510.000158287
0.0018301920.998956540.00015671
0.0018327020.998953810.000160561
0.0018352220.99895190.000158429
0.0018376920.998946710.000158149
0.0018402020.998942930.000162131
0.0018426520.998941410.000163639
0.0018451720.99894020.000164772
0.0018477020.998938180.000163301
0.0018501920.99893330.000162128
0.0018526930.998929880.00016622
0.0018552130.998927910.000165754
0.0018577130.998924650.000166702
0.0018601930.998921250.000167485
0.0018626930.99891950.000170498
0.0018652130.99891770.000168693
0.0018676930.998913550.000168655
0.0018701830.998909210.000170028
0.0018727030.99890660.000173382
0.0018751730.998905840.000174406
0.0018776930.998903210.000172658
0.0018802240.998899140.000173755
0.0018826640.998896620.000175523
0.0018852140.998893740.00017518
0.0018877140.998890370.000176642
0.0018901740.998887630.000177699
0.0018926940.99888550.000179155
0.0018952140.998882610.000178285
0.0018976940.998879160.000179862
0.0019002140.998876250.000180707
0.0019026840.998874810.000182747
0.0019051840.998871850.00017955
0.0019077240.998865910.000180577
0.0019101950.998862020.000184313
0.0019126950.998861170.000187277
0.0019151850.998858690.000185285
0.0019176850.998856360.00018893
0.0019201950.998854060.000186314
0.0019226950.998850370.000188272
0.0019251950.998846310.000187268
0.0019276850.998842740.000191325
0.0019301650.998841380.000192163
0.0019327050.998838390.000191803
0.0019351750.998834990.000193476
0.0019377050.998832920.00019528
0.0019402160.998830660.000195025
0.0019426660.998828070.000195845
0.0019451860.998824520.000194983
0.0019476860.998819980.000196731
0.0019501760.998819170.000201023
0.0019527060.998817160.000196744
0.0019552060.998812430.000198514
0.0019576660.998808750.000198825
0.0019601960.998805190.00020086
0.0019627060.998801360.000201233
0.0019651960.99879860.000205005
0.0019676760.998796510.000204733
0.0019702170.998792580.000206091
0.0019727170.998791450.000210199
0.0019751670.998790050.000207483
0.0019777170.998785620.000208206
0.0019801770.998782590.000210237
0.0019826970.998779720.000210769
0.0019852070.998777240.000212887
0.0019876670.998775210.000212902
0.0019901970.998771420.000212795
0.0019927370.998768810.000216005
0.0019951570.998767510.000215584
0.0019976970.998763690.000214396
0.0020002080.998759090.000216329
0.0020026680.998758040.00022026
0.0020051680.998757290.000217438
0.0020076880.998750640.000214331
0.0020101880.998746190.000221348
0.0020127080.998745160.000220899
0.0020151980.998741510.000221156
0.0020176980.998738620.000223627
0.0020201880.99873660.000223912
0.0020227080.998732990.000223541
0.0020251980.998729020.000225407
0.0020276980.998727350.000228141
0.0020302190.998725090.000226261
0.0020326890.998720360.000226496
0.0020351990.998716180.00022895
0.0020377090.998714070.000231557
0.0020401990.998710920.000230765
0.0020426990.998709140.000235069
0.0020452190.998706190.000231086
0.0020476890.99870170.000235087
0.0020502090.998699930.000235913
0.0020526890.998696720.000235453
0.0020552090.998691320.00023618
0.0020577290.998689870.000243016
0.00206020.998690060.000240298
0.00206270.998685780.000239114
0.002065210.998681790.000241282
0.002067680.998678850.000242028
0.002070230.99867580.000243425
0.00207270.998673150.000244174
0.00207520.998670050.000244411
0.002077720.998665710.000244595
0.002080190.998661970.000247411
0.002082710.998659580.000248945
0.00208520.998655590.000248944
0.0020877110.998653090.000253962
0.0020902210.998653060.000254101
0.0020926910.99864930.000251505
0.0020951910.998645360.000255375
0.0020976810.998644070.000256208
0.0021002110.998641650.00025547
0.0021027110.998636720.000254576
0.0021052010.998633630.000259237
0.0021077210.998632070.000258135
0.0021102110.998627840.000257812
0.0021126910.998623310.000259536
0.0021151910.99861930.000261901
0.0021177020.998618380.000266641
0.0021202020.998617570.000264373
0.0021226920.998614070.000264464
0.0021251920.998609750.000264175
0.0021277120.99860560.000266743
0.0021302120.998602220.000268236
0.0021327020.998600110.000271755
0.0021351820.998599290.000272338
0.0021376720.998597430.000271743
0.0021402220.998592660.000270081
0.0021426820.998589070.000274592
0.0021451820.998588150.000275083
0.0021477130.998584670.000273675
0.0021502230.998581950.000276799
0.0021526730.998577650.000273956
0.0021552130.998574660.000281753
0.0021576830.998580120.000283484
0.0021597630.998577810.000270536
0.0021650130.998562510.000274534
0.0021701030.998553270.000276418
0.0021751830.998545920.000281993
0.0021802140.998539610.000283219
0.0021852240.99853350.000287297
0.0021902440.998527110.000287239
0.0021952840.998519560.000290355
0.0022002440.998513110.000292644
0.0022052640.998506510.000294668
0.0022102850.998499270.000296057
0.0022152550.998491750.000298314
0.0022202750.998483030.000299633
0.0022252650.99847480.000304496
0.0022302550.998466470.000306407
0.0022352950.998457360.00031205
0.0022402960.998449320.000317335
0.0022452560.998441510.000323921
0.0022502660.998435080.000332193
0.0022552960.998431020.000340807
0.0022602560.998428620.00034794
0.0022652770.998427080.00035471
0.0022702670.99842720.000361174
0.0022752570.998428480.000365425
0.0022802670.998431360.00036941
0.0022852570.99843530.000368921
0.0022902570.998438980.000365911
0.0022952980.998438950.000356231
0.0023002880.998431390.000347582
0.0023052580.998422080.00034753
0.0023102680.998418860.000351697
0.0023152880.998425310.000351804
0.0023202780.99842580.000328716
0.0023252790.998403690.000307287
0.0023302890.9983810.000315841
0.0023352590.99836960.000318404
0.0023402990.998357530.000319753
0.0023452890.998347340.000324675
0.0023502490.998338170.000325517
0.002355280.99832860.000329056
0.002360270.998319790.000330798
0.002365290.998310910.000333668
0.002370280.998302320.000335502
0.002375260.998293210.000337688
0.002380280.998284230.000340694
0.0023852810.998275740.000343621
0.0023902710.998267780.000346708
0.0023952610.99825930.000348551
0.0024002710.998251040.000352651
0.0024053010.998244060.000355375
0.0024102510.998236010.000356432
0.0024152720.998227350.000359789
0.0024202720.998220010.000362916
0.0024253120.998211890.000364081
0.0024302820.998202950.000367076
0.0024352920.998194810.000370784
0.0024402820.998187750.000374185
0.0024452830.998180430.000375821
0.0024502730.998171250.000377436
0.0024552830.998163450.000382987
0.0024602530.998156590.000384146
0.0024653030.998147970.000386765
0.0024702830.998139920.000390111
0.0024752740.998132380.000393054
0.0024802940.99812380.000395006
0.0024852840.998116060.000400004
0.0024903040.998108810.000401677
0.0024952940.998100680.000404974
0.0025002640.998092930.000407858
0.0025052750.998084740.000410874
0.0025103050.998077580.000415297
0.0025152650.998070740.000416964
0.0025202850.99806250.000419308
0.0025252750.998054520.000422566
0.0025302850.998046610.000425065
0.0025352860.998038080.000427949
0.0025402660.998030690.000432345
0.0025452660.998023030.000433697
0.0025502860.998014270.000437247
0.0025552660.998006250.00044081
0.0025602660.997998750.000444498
0.0025652870.997991050.000447105
0.0025702770.99798290.00045033
0.0025752970.997974970.000453942
0.0025802570.99796780.000457545
0.0025852970.997960050.000459613
0.0025902870.997951320.000462727
0.0025953080.99794370.000467492
0.0026002980.997936620.000469938
0.0026052680.997928950.000472969
0.0026102880.997921010.000475511
0.0026152980.997912750.000478524
0.0026202880.99790440.000481522
0.0026252790.997896240.000485075
0.0026302990.997887340.000487692
0.0026352690.997879450.000493383
0.0026402790.997872510.000495907
0.0026452990.997863850.000498559
0.002650270.997856140.000503631
0.002655310.997848570.000505794
0.002660280.997840470.000509816
0.002665270.997833420.000513263
0.002670280.997824270.000514203
0.00267530.99781580.00052107
0.0026802910.997809190.00052342
0.0026852510.997801450.000526663
0.0026903010.997794190.000529825
0.0026952910.997785010.000530351
0.0027003110.997775570.000536151
0.0027052810.997768840.000540069
0.0027103020.997760190.000541155
0.0027152620.997752750.000547164
0.0027203120.997743260.000545227
0.0027252720.997733150.000553192
0.0027302920.99772560.000555712
0.0027352820.997717230.000560186
0.0027402930.997709850.000563475
0.0027452830.997699490.000563884
0.0027502730.99768990.000572045
0.0027552730.997682890.000575128
0.0027603130.997675290.000579298
0.0027653030.997667780.000581057
0.0027702640.997657420.000581511
0.0027752840.997645540.000586044
0.0027803040.99763570.00059209
0.0027852940.997627940.000596575
0.0027902840.99761570.000595484
0.0027953040.997603130.00060528
0.0028002950.997588630.000606353
0.0028104650.997571870.000642808
0.0028204750.997570010.000651418
0.0028304860.99755950.000655571
0.0028405060.997544640.000662077
0.0028504860.997529290.000670743
0.0028604970.997516110.000681051
0.0028704770.99750320.000686906
0.0028804570.997489080.000693806
0.0028904780.997471320.000697319
0.0029004280.997456090.000711515
0.0029105380.99744350.00071484
0.0029205190.997424520.000718124
0.0029304690.997404710.000728321
0.0029405090.99738550.00073753
0.002950530.997370450.000753528
0.002960510.997357520.00075951
0.002970490.997340640.000767452
0.0029804110.997322820.00077689
0.0029905210.997308120.000791485
0.0030005310.997298410.000800485
0.0030105120.99728110.000799244
0.0030204620.997262810.000814653
0.0030305120.997247030.000819645
0.0030405530.997230950.000833243
0.0030505030.997218030.000840264
0.0030604830.997202790.00084638
0.0030704340.997184620.000851446
0.0030805440.997164870.000861076
0.0030904940.997146930.000871708
0.0031004150.997131340.000883314
0.0031105250.997117290.000892074
0.0031204750.997100160.000896196
0.0031305160.9970810.000905603
0.0031404960.997059120.000911475
0.0031504460.997041540.000931075
0.0031604970.997028060.000936551
0.0031705370.997007280.000942639
0.0031804570.996984940.000955224
0.0031905080.996967370.000972486
0.0032004880.99695430.000984516
0.0032104980.996937330.000990515
0.0032205090.996917970.00100305
0.0032304990.996899920.00101431
0.0032404790.996882570.00102749
0.003250490.996864890.0010382
0.003260540.996847210.00105237
0.003270520.996830660.00106451
0.0032805010.996814580.00107799
0.0032904510.996797940.00108877
0.0033004910.996781360.00110329
0.0033105420.996765740.00111505
0.0033204920.996750140.00112793
0.0033304720.996734710.00113901
0.0033405230.99671620.00114913
0.0033505630.996699280.00116626
0.0033604830.996684970.00117788
0.0033705240.996669010.0011905
0.0033804440.996653470.0012033
0.0033905550.996637810.00121602
0.0034005050.996621360.00122814
0.0034104850.996607230.00124447
0.0034205050.996593870.00125425
0.0034305160.996578530.00126636
0.0034405260.996564740.00127812
0.0034505070.99654630.00128381
0.0034604870.996526710.00130151
0.0034704470.996512730.00131681
0.0034805180.996499670.00132974
0.0034905580.996486060.00134046
0.0035004780.996470110.00134938
0.0035104990.996451890.00136093
0.0035205390.996433750.00137477
0.0035305190.996419460.0013916
0.003540470.996407290.0014018
0.003550520.996387990.00140782
0.003560530.996368320.00142665
0.0035705110.996354590.0014417
0.0035805010.996340140.00145336
0.0035905110.996324320.00146597
0.0036004820.996307050.00147783
0.0036105420.996292450.00149559
0.0036205420.996278290.00150428
0.0036305630.996260550.00151746
0.0036404830.996245950.00153264
0.0036504930.996229840.00154133
0.0036605440.996210150.00155539
0.0036704940.99619520.00157384
0.0036805340.996181650.0015844
0.0036904850.996163830.00159529
0.0037005650.996145940.00161099
0.0037105150.996129840.00162473
0.0037204660.99611350.00163847
0.0037305160.996094330.00165078
0.0037404860.996079870.00167248
0.0037505970.996064440.00167845
0.0037604970.996043270.00169465
0.0037705070.996026860.00171342
0.0037805180.996008980.00172509
0.0037905580.995989320.00174507
0.0038005680.995974630.00176492
0.0038104990.995958070.00177846
0.0038205390.995943180.00180173
0.0038304590.995928290.00181317
0.003840570.995910880.00183523
0.003850550.995896830.00185367
0.00386050.995884090.00187426
0.0038705410.995870770.00189097
0.0038805210.99586170.00191527
0.0038905010.995854140.00192557
0.0039005220.995838310.00193766
0.0039104720.995824220.00195959
0.0039205820.995818750.0019796
0.0039305630.995808920.00198443
0.0039405130.995797090.00200242
0.0039505330.995784160.00200738
0.0039605440.995770850.00202546
0.0039705840.995757380.00202912
0.0039804940.995739020.00204141
0.0039904750.995721880.00205162
0.0040004950.995706140.00206218
0.0040105150.99567830.00205687
0.0040205260.99564190.00207635
0.0040305360.995610280.00209533
0.0040405160.995578970.00211891
0.0040505370.995543350.00214053
0.0040605870.995507310.00217802
0.0040704980.995474070.00221343
0.0040804580.995437930.00225916
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6.8495464053.14859270.01509159
6.8967850393.14271250.01387127
6.9446786053.13725490.01297455
7.0002362563.13142510.01225585
7.0424909743.1272390.01188952
7.0924385273.12252770.01161793
7.1430983933.11793140.01149206
7.1944880083.11340080.0114962
7.2466215583.10889040.01162068
7.2995166063.10435740.01186067
7.3531895233.09976050.01221554
7.4076571513.09505790.01268849
7.4689260543.0896840.01335871
7.519050943.08517240.01402091
7.576013913.07989760.01490712
7.6338456113.07433170.0159662
7.6925679783.06841660.01722577
7.7521998073.06208460.01872172
7.8127638683.05525680.02050075
7.8742821943.04783980.02262378
7.9367759933.03972020.02517096
8.0002702013.0307370.02824888
8.0908881483.01654350.03373257
8.1835824472.99979360.04112998
8.2852839692.97831430.0522597
8.377308832.9551130.06639847
8.4676859172.92818830.08608682
8.5546088542.8976870.1134973
8.6433336682.86231780.1552178
8.731280192.82616540.2188547
8.8108696392.8016290.3064274
8.8498570482.79492550.3631365
8.8891891122.79972080.4303857
8.9288723492.82117540.5070167
8.9689127812.86599310.588387
9.0093132892.9394140.6648245
9.0499406893.04087090.7217195
9.0912161373.16070080.7443366
9.1119250583.22560060.7396002
9.1327285393.2870660.7241882
9.1536272323.34359150.6992224
9.174621793.39362120.6665531
9.2169011533.46727250.5871451
9.2595719913.51138630.502785
9.302639073.53130170.4244886
9.3373835213.53443240.3694763
9.372387773.53080250.3217892
9.3927414723.5257910.2974142
9.4342808973.51443150.2544548
9.4700168093.50228490.2237829
9.5060237493.48945620.1977349
9.542306283.47644650.1755619
9.5788675773.46361520.1566217
9.6157101213.45118220.1403755
9.6528356673.4392840.126377
9.68626543.42906510.1154655
9.7279542473.41723560.1037194
9.7659548353.40710460.09451012
9.8042534723.3975750.08642702
9.8428521173.38860810.07930141
9.8817566713.38017120.07299358
9.9209699913.37222860.06738733
9.9604957683.36473940.06238558
10.000337753.3576080.05790694
10.101351263.3419540.04857438
10.20442463.32808050.04129355
10.418841913.30589380.03078254
10.582367093.29237630.02539562
10.734562613.28201670.02164866
10.86993713.27415580.01903021
11.000371613.26754880.01697502
11.186058113.25952030.01463484
11.374694013.25260540.01277318
11.547729823.24713720.01139875
11.696624773.24297770.01041032
11.848740283.23917290.009546873
12.000404913.23575150.008805243
12.255313453.23073610.007769175
12.523653023.22622420.006895485
12.78187173.22247840.006210854
13.000439043.21967590.005723277
13.331630193.21598040.005107971
13.624640173.21314090.004659802
14.000472833.20998070.004184699
15.000506693.20359010.003284638
15.498023433.20111690.002966013
16.00054043.19899170.002701535
16.53122833.19706510.002469603
17.000574123.19557930.002295948
17.586414063.1939640.002111566
18.000607893.19295210.001998705
18.505105093.1918460.001877166
19.00064163.19087360.001771988
19.52506953.18995010.001673411
20.00067553.18919140.00159354
21.538107593.18717250.001382963

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
—