Optical constants

Refractive index of AlN (Aluminium nitride)

Pastrňák and Roskovcová 1966: n(e) 0.22–5 µm

Data
formula 1
Range
0.22–5 µm
Optical axis
e
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.22–5 µm
Refractive index n
2.20011
Extinction coefficient k
0
Permittivity ε1
4.84049
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
44.155
Chromatic dispersion dn/dλ
-0.137794 µm⁻¹
Group index ng
2.28108
Group velocity dispersion
269.102 fs²/mm
Dispersion parameter D
-1468.1 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

# AlN (Aluminium nitride): Pastrňák and Roskovcová 1966: n(e) 0.22–5 µm
aln = ls.fetch_refractiveindex("main", "AlN", "Pastrnak-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(aln.range_nm)  # (220, 5000) nm
eps = aln.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.

Dispersion formula

Sellmeier (formula 1), λ in µm
n2−1=2.0729+1.6173λ2λ2−0.17462+4.139λ2λ2−15.032

Valid from 0.22 to 5.0 µm.

Coefficients as stored
CiValue
C12.0729
C21.6173
C30.1746
C44.139
C515.03

Comments and conditions

Extraordinary ray (e).

Conditions

direction
e

References

J. Pastrňák and L. Roskovcová. Refraction index measurements on AlN single crystals. Phys. Stat. Sol. 14, K5-K8 (1966)

Cite

J. Pastrňák and L. Roskovcová. Refraction Index Measurements on AlN Single Crystals. physica status solidi (b), 14 (1966), doi:10.1002/pssb.19660140127; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library
AlN (Aluminium nitride), Pastrňák and Roskovcová 1966: n(e) 0.22–5 µm: n and k versus wavelength
λ (µm)n
0.222.727898
0.2217292.70719
0.2234722.687676
0.2252282.669255
0.2269982.65184
0.2287822.635351
0.230582.619716
0.2323922.604873
0.2342192.590763
0.236062.577335
0.2379152.564541
0.2397852.552338
0.2416692.540688
0.2435682.529555
0.2454832.518905
0.2474122.508709
0.2493562.49894
0.2513162.489572
0.2532912.480582
0.2552822.471948
0.2572882.46365
0.259312.455671
0.2613482.447992
0.2634022.440598
0.2654722.433473
0.2675592.426606
0.2696622.419981
0.2717812.413588
0.2739172.407414
0.276072.401451
0.2782392.395687
0.2804262.390113
0.282632.384721
0.2848512.379503
0.287092.37445
0.2893462.369556
0.291622.364814
0.2939122.360217
0.2962222.35576
0.298552.351436
0.3008972.34724
0.3032612.343167
0.3056452.339212
0.3080472.33537
0.3104682.331637
0.3129082.328009
0.3153672.324483
0.3178462.321053
0.3203442.317717
0.3228612.314471
0.3253992.311311
0.3279562.308236
0.3305342.305241
0.3331312.302325
0.335752.299483
0.3383882.296715
0.3410482.294017
0.3437282.291386
0.346432.288822
0.3491522.286321
0.3518962.283881
0.3546622.281501
0.3574492.279178
0.3602592.276912
0.363092.274699
0.3659442.272539
0.368822.27043
0.3717182.268369
0.374642.266357
0.3775842.264391
0.3805522.26247
0.3835422.260592
0.3865572.258757
0.3895952.256963
0.3926572.255209
0.3957432.253494
0.3988532.251816
0.4019872.250175
0.4051472.24857
0.4083312.247
0.411542.245463
0.4147742.243959
0.4180342.242487
0.421322.241046
0.4246312.239635
0.4279682.238254
0.4313322.236901
0.4347222.235577
0.4381382.234279
0.4415822.233008
0.4450522.231763
0.448552.230543
0.4520752.229348
0.4556282.228176
0.4592092.227028
0.4628182.225902
0.4664552.224799
0.4701212.223717
0.4738162.222657
0.477542.221617
0.4812932.220597
0.4850762.219597
0.4888882.218616
0.492732.217653
0.4966032.216709
0.5005052.215782
0.5044392.214873
0.5084042.213981
0.5123992.213106
0.5164262.212247
0.5204852.211403
0.5245762.210575
0.5286982.209762
0.5328532.208964
0.5370412.208181
0.5412622.207411
0.5455162.206655
0.5498032.205913
0.5541242.205184
0.5584792.204468
0.5628682.203764
0.5672922.203073
0.5717512.202393
0.5762442.201726
0.5807732.20107
0.5853372.200425
0.5899382.199791
0.5945742.199168
0.5992472.198556
0.6039562.197953
0.6087032.197361
0.6134872.196779
0.6183092.196206
0.6231682.195643
0.6280662.195089
0.6330022.194544
0.6379772.194008
0.6429912.193481
0.6480442.192962
0.6531372.192451
0.658272.191948
0.6634442.191454
0.6686582.190967
0.6739132.190487
0.6792092.190015
0.6845472.18955
0.6899272.189093
0.695352.188642
0.7008152.188198
0.7063222.187761
0.7118742.18733
0.7174682.186906
0.7231072.186487
0.728792.186075
0.7345182.185669
0.7402912.185269
0.7461092.184874
0.7519722.184485
0.7578822.184101
0.7638392.183723
0.7698422.183349
0.7758922.182981
0.781992.182618
0.7881362.18226
0.794332.181906
0.8005732.181557
0.8068652.181213
0.8132062.180873
0.8195972.180537
0.8260392.180206
0.8325312.179878
0.8390742.179555
0.8456682.179235
0.8523142.17892
0.8590132.178608
0.8657642.178299
0.8725682.177994
0.8794262.177693
0.8863382.177395
0.8933042.1771
0.9003242.176809
0.90742.17652
0.9145312.176235
0.9217192.175952
0.9289632.175673
0.9362642.175396
0.9436222.175122
0.9510382.17485
0.9585132.174581
0.9660462.174315
0.9736382.174051
0.981292.173789
0.9890022.173529
0.9967752.173272
1.004612.173016
1.01252.172763
1.020462.172511
1.028482.172262
1.036562.172014
1.044712.171768
1.052922.171524
1.06122.171281
1.069542.17104
1.077942.170801
1.086412.170562
1.094952.170325
1.103562.17009
1.112232.169855
1.120972.169622
1.129782.16939
1.138662.169159
1.147612.168929
1.156632.168699
1.165722.168471
1.174882.168243
1.184122.168016
1.193422.16779
1.20282.167564
1.212252.167339
1.221782.167114
1.231382.16689
1.241062.166666
1.250822.166443
1.260652.166219
1.270552.165996
1.280542.165773
1.29062.16555
1.300752.165327
1.310972.165104
1.321272.164881
1.331662.164657
1.342122.164434
1.352672.16421
1.36332.163986
1.374022.163761
1.384812.163536
1.39572.16331
1.406672.163084
1.417722.162857
1.428862.162629
1.440092.162401
1.451412.162172
1.462822.161942
1.474322.161711
1.48592.161479
1.497582.161246
1.509352.161011
1.521212.160776
1.533172.160539
1.545222.160301
1.557362.160062
1.56962.159821
1.581942.159578
1.594372.159335
1.60692.159089
1.619532.158842
1.632262.158593
1.645092.158342
1.658022.158089
1.671052.157834
1.684182.157577
1.697422.157318
1.710762.157057
1.72422.156794
1.737752.156528
1.751412.15626
1.765172.15599
1.779052.155717
1.793032.155441
1.807122.155163
1.821322.154882
1.835642.154598
1.850062.154311
1.86462.154022
1.879262.153729
1.894032.153433
1.908912.153134
1.923922.152831
1.939042.152525
1.954282.152216
1.969632.151903
1.985112.151587
2.000722.151266
2.016442.150942
2.032292.150614
2.048262.150283
2.064362.149947
2.080582.149606
2.096932.149262
2.113412.148913
2.130022.14856
2.146762.148202
2.163642.147839
2.180642.147472
2.197782.1471
2.215052.146723
2.232462.146341
2.252.145953
2.267692.14556
2.285512.145162
2.303472.144759
2.321582.144349
2.339822.143934
2.358212.143514
2.376742.143087
2.395422.142654
2.414252.142214
2.433222.141769
2.452352.141316
2.471622.140858
2.491052.140392
2.510622.13992
2.530362.13944
2.550242.138953
2.570282.138459
2.590492.137958
2.610842.137449
2.631362.136932
2.652042.136407
2.672892.135874
2.693892.135332
2.715072.134783
2.73642.134224
2.757912.133657
2.779582.133081
2.801432.132496
2.823452.131901
2.845642.131297
2.8682.130684
2.890542.13006
2.913262.129427
2.936162.128783
2.959232.128128
2.982492.127463
3.005932.126788
3.029552.126101
3.053362.125402
3.077362.124692
3.101542.12397
3.125922.123237
3.150492.122491
3.175252.121732
3.20022.120961
3.225352.120176
3.25072.119379
3.276252.118568
3.3022.117742
3.327952.116903
3.354112.11605
3.380472.115181
3.407032.114298
3.433812.113399
3.46082.112485
3.4882.111555
3.515412.110608
3.543042.109645
3.570882.108665
3.598952.107668
3.627232.106653
3.655742.10562
3.684472.104568
3.713432.103498
3.742612.102408
3.772032.101299
3.801672.10017
3.831552.09902
3.861662.09785
3.892012.096658
3.92262.095444
3.953432.094208
3.98452.092949
4.015822.091667
4.047382.090361
4.079192.089031
4.111242.087676
4.143562.086295
4.176122.084889
4.208942.083456
4.242022.081995
4.275362.080507
4.308962.078991
4.342832.077446
4.376962.075871
4.411362.074265
4.446032.072629
4.480972.07096
4.516182.069259
4.551682.067525
4.587452.065757
4.62352.063953
4.659842.062114
4.696462.060238
4.733382.058325
4.770582.056373
4.808072.054382
4.845862.05235
4.883942.050278
4.922322.048162
4.961012.046004
52.0438

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
—