Optical constants

Refractive index of Pr (Praseodymium)

Fernandez-Perea et al. 2008: n,k 0.000775–0.323 µm

Data
tabulated nk
Range
0.0007749–0.3231 µm
Points
1594
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.0007749–0.3231 µm
Refractive index n
0.968424
Extinction coefficient k
0.0115501
Permittivity ε1
0.937711
Permittivity ε2
0.0223708
Absorption coefficient α
91862.5 cm⁻¹
Penetration depth δ = λ/(2πk)
217.717 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-6.28278 µm⁻¹
Group index ng
1.06769
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
78.471 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

# Pr (Praseodymium): Fernandez-Perea et al. 2008: n,k 0.000775–0.323 µm
pr = ls.fetch_refractiveindex("main", "Pr", "Fernandez-Perea", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pr.range_nm)  # (0.774901, 323.114) nm
eps = pr.eps([15.8])  # 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: 6.773 g/cm3. Film deposited at room temperature.

References

M. Fernández-Perea, M. Vidal-Dasilva, J. A. Aznárez, J. I. Larruquert, J. A. Méndez, L. Poletto, D. Garoli, A. M. Malvezzi, A. Giglia, S. Nannarone. Transmittance and optical constants of Pr films in the 4-1600 eV spectral range. J. Appl. Phys. 103, 113515 (2008) (Numerical data kindly provided by Juan Larruquert)
  • doi:10.1063/1.2939269 Transmittance and optical constants of Pr films in the 4–1600eV spectral range, Journal of Applied Physics (2008)

Cite

Mónica Fernández-Perea et al.. Transmittance and optical constants of Pr films in the 4–1600eV spectral range. Journal of Applied Physics, 103, 113515 (2008), doi:10.1063/1.2939269; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1594 rows as published
Pr (Praseodymium), Fernandez-Perea et al. 2008: n,k 0.000775–0.323 µm: n and k versus wavelength
λ (µm)nk
0.0007749010.999630360.000227
0.000777330.999641190.000228
0.0007797750.999646560.000228
0.0007822350.999650120.000227
0.000784710.99965050.000224
0.0007872010.999647570.000224
0.0007897080.999646340.000229
0.0007922310.99964880.000233
0.000794770.999652140.000233
0.0007973260.999652820.00023
0.0007998980.999648910.000227
0.0008024870.999639420.000228
0.0008050920.999637510.000246
0.0008056150.999639480.000247
0.0008061390.999640770.000249
0.0008066640.999642860.000251
0.0008071890.999645430.000252
0.0008077150.999647420.000252
0.0008082410.999649620.000253
0.0008087680.999651710.000252
0.0008092960.999653330.000252
0.0008098250.999655020.000251
0.0008103540.999656180.00025
0.0008108840.999657250.000249
0.0008114150.999657180.000247
0.0008119460.999657620.000248
0.0008124780.99965860.000246
0.0008130110.999658450.000245
0.0008135450.999658250.000244
0.0008140790.999657590.000243
0.0008146140.999656920.000243
0.0008151490.999656930.000243
0.0008156850.999656680.000242
0.0008162220.999656490.000242
0.000816760.999655390.00024
0.0008172990.999653860.000241
0.0008178380.99965320.000241
0.0008183770.999651820.000241
0.0008189180.999651440.000243
0.0008194590.99965090.000242
0.0008200010.999650280.000244
0.0008205440.999649310.000243
0.0008210870.999648280.000246
0.0008216310.999648760.000247
0.0008221760.999648870.000248
0.0008227220.999648760.000249
0.0008232680.999649210.000251
0.0008238150.999650260.000252
0.0008243630.999651270.000253
0.0008249110.999652890.000254
0.0008254610.99965360.000253
0.0008260110.999654610.000255
0.0008265610.999656030.000254
0.0008271130.999657240.000255
0.0008276650.999658780.000254
0.0008282180.999660430.000254
0.0008287710.999661020.000251
0.0008293260.999660590.000251
0.0008298810.999660710.00025
0.0008304370.999659540.000249
0.0008309930.999658880.000251
0.0008315510.999659260.000252
0.0008321090.999662780.000256
0.000834910.99966660.000238
0.0008377310.99965630.000235
0.0008405710.999651350.000241
0.000843430.999652590.000243
0.0008463080.999652130.000239
0.0008492070.999648230.000237
0.0008521250.999643230.000236
0.0008550630.999635860.000236
0.0008580220.999630750.000244
0.0008610010.99963230.00025
0.0008640010.999633210.000248
0.0008670220.999631030.000248
0.0008700640.999625650.000246
0.0008731280.999621290.000253
0.0008762130.999619950.000255
0.000879320.99961920.000259
0.000882450.999617290.000258
0.0008856010.999612960.000261
0.0008887760.999610730.000266
0.0008919730.999609780.000269
0.0008951930.999609110.000272
0.0008984360.999606740.000272
0.0009017030.999598250.000274
0.0009049940.999601870.000296
0.0009056550.999596740.000288
0.0009063170.999605540.000319
0.000906980.999627130.000303
0.0009076440.999629910.000289
0.0009083090.999626680.00028
0.0009089750.999622550.000275
0.0009096420.999616140.000269
0.000910310.999608630.00027
0.0009109790.999604780.000273
0.0009116480.999601470.000273
0.0009123190.999597960.000276
0.0009129910.999595150.000278
0.0009136640.999592930.000282
0.0009143380.999591420.000285
0.0009150120.999590950.00029
0.0009156880.999593060.000294
0.0009163650.999594420.000294
0.0009170430.999594250.000296
0.0009177220.999594160.000298
0.0009184010.999595660.000302
0.0009190820.999596920.000302
0.0009197640.999598260.000306
0.0009204470.999601310.000307
0.0009211310.999602720.000307
0.0009218160.999604740.00031
0.0009225010.999608770.000311
0.0009231880.999612220.00031
0.0009238760.999615820.00031
0.0009245650.999620870.000308
0.0009252550.999623240.000301
0.0009259460.999622270.000297
0.0009266380.999621120.000294
0.0009273310.999619240.000291
0.0009280250.999617450.00029
0.0009287210.999615870.000288
0.0009294170.999614120.000287
0.0009301140.999611940.000285
0.0009308120.999608340.000284
0.0009315120.99960580.000286
0.0009322120.999604240.000286
0.0009329130.999602350.000287
0.0009336160.999600960.000288
0.0009343190.999599830.000289
0.0009350240.999599140.00029
0.000935730.999598310.00029
0.0009364360.999596370.00029
0.0009371440.999594510.000292
0.0009378530.999593930.000294
0.0009385630.999593620.000295
0.0009392740.999592850.000296
0.0009399860.999592590.000298
0.0009406990.999593080.000299
0.0009414140.999592910.000299
0.0009421290.999592290.0003
0.0009428460.9995920.000301
0.0009435630.999591840.000302
0.0009442820.999591820.000303
0.0009450010.999592160.000304
0.0009457220.999592170.000304
0.0009464440.999591910.000305
0.0009471670.999592340.000306
0.0009478910.999592810.000306
0.0009486170.99959280.000306
0.0009493430.999592350.000306
0.000950070.999592240.000307
0.0009507990.999592480.000307
0.0009515290.999592360.000307
0.000952260.999592080.000307
0.0009529910.999591660.000307
0.0009537250.999590890.000307
0.0009544590.999590480.000308
0.0009551940.999590420.000308
0.0009559310.999589990.000308
0.0009566680.999589350.000308
0.0009574070.999588270.000308
0.0009581470.999587250.000309
0.0009588880.999586980.00031
0.000959630.99958650.00031
0.0009603730.999585980.000311
0.0009611180.999585430.000311
0.0009618630.999584850.000312
0.000962610.999584190.000312
0.0009633580.999583240.000313
0.0009641070.99958270.000314
0.0009648570.999582560.000315
0.0009656090.999582050.000315
0.0009663620.999581160.000316
0.0009671150.99958060.000317
0.000967870.999580140.000318
0.0009686260.999579860.000319
0.0009693840.999579530.00032
0.0009701420.999579260.000321
0.0009709020.999579040.000322
0.0009716630.999578870.000323
0.0009724250.999578770.000324
0.0009731880.999578770.000325
0.0009739530.999579080.000326
0.0009747180.999578990.000326
0.0009754850.99957850.000327
0.0009762530.999578350.000328
0.0009770230.999578350.000329
0.0009777930.999578690.00033
0.0009785650.999578650.00033
0.0009793380.999578240.000331
0.0009801120.99957820.000332
0.0009808880.999578540.000333
0.0009816640.999578540.000333
0.0009824420.99957840.000334
0.0009832210.99957810.000334
0.0009840010.999577430.000335
0.0009847830.999577030.000336
0.0009855660.999576660.000337
0.000986350.99957620.000338
0.0009871350.999575340.000339
0.0009879220.999574460.000341
0.000988710.999573720.000343
0.0009894990.999573220.000346
0.0009902890.99957290.000349
0.0009910810.999573650.000354
0.0009918730.999575550.000358
0.0009926680.99957930.000364
0.0009934630.999586070.000368
0.000994260.999593880.000369
0.0009950580.999601890.000368
0.0009958570.999609520.000364
0.0009966570.999614770.000357
0.0009974590.999617170.00035
0.0009982620.999617160.000343
0.0009990670.999615570.000338
0.0009998720.999613590.000334
0.0010006790.999611570.000331
0.0010014880.999609290.000328
0.0010022970.999606590.000326
0.0010031080.999604260.000325
0.0010039210.999602420.000324
0.0010047340.999600690.000323
0.0010055490.999598750.000322
0.0010063650.999597250.000322
0.0010071830.999596140.000321
0.0010080020.999594660.00032
0.0010088220.999592760.000319
0.0010096430.999591170.000319
0.0010104660.999589840.000318
0.001011290.999587980.000317
0.0010121160.999585460.000316
0.0010129430.999582470.000316
0.0010137710.999579680.000317
0.0010146010.999577570.000319
0.0010154320.999579710.000323
0.0010162640.999579630.000316
0.0010204460.999567150.00032
0.0010246630.999560470.000326
0.0010289140.999555970.000331
0.0010332020.999552490.000336
0.0010375250.999549580.00034
0.0010418840.999546920.000344
0.001046280.99954420.000347
0.0010507130.999540690.00035
0.0010551850.999536870.000354
0.0010596940.999534130.000359
0.0010642420.999531270.000362
0.0010688290.999528180.000367
0.0010734560.999525550.000371
0.0010781230.999523150.000376
0.0010828310.999521140.00038
0.0010875810.999518580.000384
0.0010923720.999516510.000389
0.0010972050.999514440.000393
0.0011020820.999512520.000398
0.0011070020.999510960.000402
0.0011119660.999509040.000406
0.0011169750.999506990.00041
0.0011220290.99950480.000414
0.0011271290.999502620.000418
0.0011322760.999499370.000421
0.001137470.999495180.000426
0.0011427110.999491380.000432
0.0011480020.999488580.000439
0.0011533410.999486080.000445
0.0011587310.999483270.000452
0.0011641710.999481220.00046
0.0011696620.999480170.000468
0.0011752060.999480060.000476
0.0011808020.999480410.000483
0.0011864520.999481140.00049
0.0011921560.999481170.000495
0.0011979150.999479080.000501
0.001203730.999477870.000511
0.0012096020.999480410.000521
0.0012155310.999483710.000527
0.0012215190.999485350.000532
0.0012275660.999485590.000537
0.0012336740.999483710.000542
0.0012398420.999480990.000551
0.0012460720.999482250.000563
0.0012523660.999484050.000568
0.0012587230.99948090.000574
0.0012651450.999488050.00059
0.0012657910.99949280.000589
0.0012664370.999495640.000584
0.0012670840.999495680.00058
0.0012677320.999495240.000577
0.001268380.999493810.000573
0.001269030.999492030.000571
0.0012696790.99948940.000567
0.001270330.999486120.000566
0.0012709810.999483480.000564
0.0012716330.999479990.000562
0.0012722850.999476220.000561
0.0012729380.999472560.00056
0.0012735920.999468480.000559
0.0012742470.999464550.000559
0.0012749020.999460460.000558
0.0012755570.999455890.000558
0.0012762140.999451450.000558
0.0012768710.999446830.000558
0.0012775290.99944170.000558
0.0012781870.999436470.000559
0.0012788470.999431560.00056
0.0012795070.999426720.000561
0.0012801670.999422140.000562
0.0012808280.999417290.000562
0.001281490.999411490.000562
0.0012821530.99940590.000563
0.0012828160.999399860.000562
0.001283480.999392860.000562
0.0012841450.99938530.000561
0.001284810.999376410.00056
0.0012854760.999366240.000559
0.0012861430.999354350.000558
0.001286810.999340630.000558
0.0012874790.999325010.000559
0.0012881470.999308960.000563
0.0012888170.999292010.000566
0.0012894870.999274050.000572
0.0012901580.999255040.000577
0.001290830.999233170.000584
0.0012915020.999210740.000595
0.0012921750.999187950.000606
0.0012928490.999163440.000619
0.0012935230.999138340.000634
0.0012941980.999109380.000647
0.0012948740.999074420.000666
0.0012955510.999043590.000696
0.0012962280.999010150.000712
0.0012969060.998963130.000735
0.0012975840.998907110.000766
0.0012982640.998834510.000802
0.0012989440.998749330.000868
0.0012996250.998646920.000945
0.0013003060.998511640.001071
0.0013009880.998382010.001303
0.0013016710.998296670.001618
0.0013023550.998310560.002068
0.0013030390.998616720.002654
0.0013037240.999160340.002938
0.001304410.9998780.003109
0.0013050971.00051320.002644
0.0013057841.00070570.002085
0.0013064721.00064740.001764
0.0013071611.00054290.001622
0.001307851.00054480.001683
0.001308541.0007590.001717
0.0013092311.00103070.001487
0.0013099231.00113570.001089
0.0013106151.0010610.000752
0.0013113081.00089270.0005
0.0013120021.00068650.000359
0.0013126971.00051440.000322
0.0013133921.00039080.000295
0.0013140881.00028760.000279
0.0013147851.00020030.00027
0.0013154821.00012410.000263
0.001316181.00005430.000258
0.0013168790.999989630.000256
0.0013175790.999928740.000255
0.001318280.999869210.000255
0.0013189810.999810470.000258
0.0013196830.999752920.000263
0.0013203850.999694350.000268
0.0013210890.999633230.000276
0.0013217930.999569010.000286
0.0013224980.999497750.000298
0.0013232040.999419090.00032
0.001323910.999336730.000352
0.0013246170.999249350.00039
0.0013253250.999148880.000433
0.0013260340.999020520.000488
0.0013267440.99887470.000592
0.0013274540.998657680.000694
0.0013281650.998410840.001033
0.0013288770.998366810.001589
0.0013295890.998517210.002049
0.0013303020.998842230.002572
0.0013310170.999352080.002921
0.0013317311.0001130.003225
0.0013324471.00091620.002886
0.0013331631.00139360.002325
0.001333881.00153490.001715
0.0013345981.00151550.001344
0.0013353171.00143270.000958
0.0013360371.00125130.000706
0.0013367571.00108350.000596
0.0013374781.00097280.000526
0.00133821.00089480.000463
0.0013389221.00083530.000402
0.0013396451.00077010.000322
0.001340371.00068950.000265
0.0013410951.00061140.000229
0.001341821.00054160.000207
0.0013425471.00048110.000194
0.0013432741.000430.000187
0.0013440021.00038660.000181
0.0013447311.00034780.000176
0.0013454611.00031330.000173
0.0013461911.00028270.00017
0.0013469221.00025460.000167
0.0013476541.00022870.000165
0.0013483871.00020480.000163
0.0013491211.0001830.000162
0.0013498551.00016270.00016
0.001350591.00014330.000159
0.0013513261.00012550.000158
0.0013520631.00010860.000157
0.0013528011.00009240.000156
0.0013535391.00007750.000156
0.0013542781.00006360.000155
0.0013550181.00004970.000154
0.0013557591.00003640.000154
0.0013565011.00002440.000154
0.0013572431.00001270.000153
0.0013579871.00000110.000153
0.0013587310.999990580.000153
0.0013594760.999980130.000152
0.0013602210.999969690.000152
0.0013609680.999959910.000152
0.0013617150.999950540.000152
0.0013624640.999941530.000152
0.0013632130.999932820.000152
0.0013639620.999924390.000152
0.0013647130.999916210.000152
0.0013654650.999908220.000152
0.0013662170.999900180.000152
0.001366970.99989280.000153
0.0013677240.999886060.000153
0.0013684790.999879240.000153
0.0013692350.999872530.000153
0.0013699910.999865950.000153
0.0013707480.999859490.000153
0.0013715060.999853140.000153
0.0013722650.999846870.000153
0.0013730250.999840430.000153
0.0013737860.999834550.000154
0.0013745480.99982920.000154
0.001375310.999823630.000154
0.0013760730.999817830.000154
0.0013768370.999812540.000155
0.0013776020.999807760.000155
0.001380670.999787870.000155
0.0013837520.999769080.000156
0.0013868480.999751890.000157
0.0013899570.999736140.000158
0.0013930810.999720970.000158
0.0013962180.999706470.000159
0.001399370.999692550.000159
0.0014025360.999678930.00016
0.0014057160.999666450.000161
0.0014089110.999654080.000161
0.0014121210.999641730.000162
0.0014153450.999630010.000163
0.0014185830.999618440.000164
0.0014218370.999607650.000166
0.0014251060.999597560.000167
0.0014283890.99958720.000168
0.0014316880.999577460.00017
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0.0360681270.721253880.1805976
0.0361997630.719120580.1849726
0.0363323630.716948270.1893896
0.0364659370.71484810.1941856
0.0366004980.712927610.1990507
0.0367360560.711108760.2040686
0.0368726210.709403850.2092207
0.0370102050.707773170.2145223
0.037148820.706384770.2201885
0.0372884770.705286390.2258291
0.0374291890.704375650.2316306
0.0375709660.704189020.237798
0.0377138210.704174870.242661
0.0378577670.70364350.247719
0.0380028160.703022170.252969
0.0381489810.702390730.25838
0.0382962740.701846160.264019
0.0384447090.701319010.269669
0.03859430.700926960.275752
0.0387450590.700742290.281774
0.0388970.700620130.287989
0.0390501380.7007350.29445
0.0392044860.701039260.300863
0.039360060.701485930.307495
0.0395168720.702184520.314223
0.039674940.702983160.320931
0.0398342770.703966710.328045
0.0399948990.705449210.33535
0.0401568220.707281520.342428
0.0403200610.709203420.349518
0.0404846330.711494360.356994
0.0406505530.714272390.364279
0.0408178390.717362030.371501
0.0409865080.720705330.378603
0.0411565770.724481890.385871
0.0413280620.728686930.392704
0.0415009830.732946180.399284
0.0416753570.737435030.406109
0.0418512030.742568350.412916
0.0420285380.748041170.419031
0.0422073830.753869460.425216
0.0423877560.759714650.430355
0.0425696780.765635560.43611
0.0427531680.772031990.441193
0.0429382470.778603520.446044
0.0431249350.785090950.450237
0.0433132530.791925340.454947
0.0435032240.798739650.458218
0.0436948680.805544090.462488
0.0438882080.813383540.466077
0.0440832670.820525030.467675
0.0442800670.827598450.471087
0.0444786320.83511140.472573
0.0446789860.842408940.474491
0.0448811540.849453910.475009
0.0450851590.85578340.475963
0.0452910270.862176890.477134
0.0454987840.869015410.478294
0.0457084560.875911120.47843
0.0459200690.882208610.478223
0.0461336510.888533520.478468
0.0463492290.894668940.47762
0.0465668310.900330470.477208
0.0467864860.905717210.476463
0.0470082230.911136680.47647
0.0472320710.916988240.476004
0.0474580620.922541330.474926
0.0476862260.927961280.474299
0.0479165940.933764760.473397
0.0481491990.939229310.471573
0.0483840730.944645430.47044
0.048621250.949985370.468117
0.0488607640.954897380.466222
0.0491026480.959847590.464024
0.049346940.964737850.461628
0.0495936750.969115530.458538
0.0498428890.973128850.456131
0.0500946210.977561210.453684
0.0503489090.981899760.450264
0.0506057910.98553370.446584
0.0508653080.988866290.443231
0.05112750.992051930.439521
0.0513924090.994948620.435718
0.0516600780.997214670.431386
0.051930550.998843460.427615
0.0522038681.0003530.42408
0.0524800791.00155940.420458
0.0527592291.0028650.417476
0.0530413641.00427830.4135615
0.0533265321.00380080.408502
0.0583999151.0066770.378022
0.0672001020.958862630.314192
0.0734999870.836920240.27769
0.0778013220.744200550.3581
0.0835079060.660866010.4346
0.0870999650.594706880.505122
0.0920002870.536698740.659256
0.0985002120.558016620.883132
0.1047995770.642531081.025796
0.1135091850.750341191.1473833
0.1156065610.775306061.1691333
0.1180539480.797526111.1908833
0.1207775440.816167951.2194
0.1239841870.838747621.2603639
0.1271632690.866325661.3032485
0.1305096710.900433391.3457882
0.1340369590.939805591.3867623
0.1377602080.983672331.4250921
0.1416962141.03110441.4599478
0.145863751.08101721.4908263
0.1502838641.13226971.5175903
0.1549802341.18377011.5404624
0.1599795971.23457171.5599693
0.165312251.28393191.5768366
0.1710126721.33123451.5918401
0.1771202681.37544941.6056234
0.1836802781.40424331.6184987
0.1845597861.40952271.6365167
0.2019999261.5330571.6795333
0.2246429471.6529321.7273833
0.251022481.76450281.7752333
0.286967221.87210441.8375833
0.3231138941.95077221.9289333

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
—