Optical constants

Refractive index of HgS (Mercury sulfide)

Bond et al. 1967: α-HgS; n(o) 0.62–11 µm

Data
formula 2
Range
0.62–11 µm
Optical axis
o
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.62–11 µm
Refractive index n
2.64283
Extinction coefficient k
0
Permittivity ε1
6.98456
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.00982577 µm⁻¹
Group index ng
2.66848
Group velocity dispersion
283.125 fs²/mm
Dispersion parameter D
-78.2885 ps/(nm·km)
Photon energy
0.475035 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

# HgS (Mercury sulfide): Bond et al. 1967: α-HgS; n(o) 0.62–11 µm
hgs = ls.fetch_refractiveindex("main", "HgS", "Bond-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hgs.range_nm)  # (620, 11000) nm
eps = hgs.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 (C in µm²) (formula 2), λ in µm
n2−1=3.1506+2.7896λ2λ2−0.1328+1.1378λ2λ2−705.0

Valid from 0.62 to 11.0 µm.

Coefficients as stored
CiValue
C13.1506
C22.7896
C30.1328
C41.1378
C5705.0

Comments and conditions

Ordinary ray (o).

Conditions

direction
o

References

1) W. L. Bond, G. D. Boyd and H. L. Carter Jr.. Refractive indices of HgS (Cinnabar) between 0.62 and 11 μ. J. Appl. Phys., 38, 4090-4091 (1967)
2) G. C. Bhar. Refractive index interpolation in phase-matching. Appl. Opt. 15, 305-307 (1976)
* Ref. 2 provides a dispersion formula based on data from Ref. 1

Cite

W. L. Bond, G. D. Boyd and H. L. Carter. Refractive Indices of HgS (Cinnabar) between 0.62 and 11 μ. Journal of Applied Physics, 38, 4090-4091 (1967), doi:10.1063/1.1709079; Gopal C. Bhar. Refractive index interpolation in phase-matching. Applied Optics, 15, 305_1 (1976), doi:10.1364/ao.15.0305_1; 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
HgS (Mercury sulfide), Bond et al. 1967: α-HgS; n(o) 0.62–11 µm: n and k versus wavelength
λ (µm)n
0.622.900343
0.6244852.894828
0.6290022.889461
0.6335532.884238
0.6381362.879154
0.6427522.874203
0.6474012.869381
0.6520852.864683
0.6568022.860106
0.6615532.855644
0.6663392.851294
0.6711592.847052
0.6760142.842915
0.6809042.838879
0.685832.834942
0.6907912.831098
0.6957882.827347
0.7008212.823685
0.7058912.820109
0.7109972.816616
0.7161412.813204
0.7213212.809871
0.7265392.806613
0.7317952.80343
0.7370882.800318
0.742422.797276
0.7477912.794301
0.75322.791392
0.7586492.788547
0.7641372.785764
0.7696652.783041
0.7752322.780377
0.780842.777769
0.7864892.775217
0.7921782.772719
0.7979092.770274
0.8036812.767879
0.8094942.765534
0.815352.763238
0.8212482.760988
0.8271892.758785
0.8331732.756626
0.83922.754511
0.8452712.752439
0.8513852.750408
0.8575442.748417
0.8637472.746466
0.8699962.744553
0.8762892.742678
0.8826282.740839
0.8890132.739036
0.8954442.737268
0.9019222.735534
0.9084462.733833
0.9150182.732165
0.9216372.730528
0.9283042.728922
0.9350192.727347
0.9417832.725801
0.9485952.724284
0.9554582.722795
0.9623692.721333
0.9693312.719899
0.9763432.718491
0.9834062.717109
0.9905192.715752
0.9976852.714419
1.00492.713111
1.012172.711826
1.019492.710564
1.026872.709325
1.03432.708108
1.041782.706913
1.049312.705739
1.056912.704585
1.064552.703452
1.072252.702339
1.080012.701245
1.087822.70017
1.095692.699114
1.103622.698076
1.11162.697056
1.119642.696054
1.127742.695068
1.13592.6941
1.144112.693148
1.152392.692212
1.160732.691292
1.169122.690388
1.177582.689499
1.18612.688624
1.194682.687765
1.203322.68692
1.212032.686088
1.220792.685271
1.229632.684467
1.238522.683676
1.247482.682899
1.25652.682134
1.265592.681381
1.274752.680641
1.283972.679913
1.293262.679197
1.302612.678492
1.312042.677799
1.321532.677117
1.331092.676446
1.340722.675785
1.350412.675135
1.360182.674496
1.370022.673866
1.379932.673247
1.389922.672637
1.399972.672037
1.41012.671447
1.42032.670866
1.430572.670293
1.440922.66973
1.451342.669175
1.461842.668629
1.472422.668092
1.483072.667563
1.49382.667042
1.50462.666529
1.515492.666023
1.526452.665526
1.537492.665036
1.548612.664553
1.559822.664078
1.57112.66361
1.582472.663149
1.593912.662695
1.605442.662248
1.617062.661807
1.628752.661373
1.640542.660946
1.65242.660524
1.664362.660109
1.67642.6597
1.688522.659297
1.700742.6589
1.713042.658509
1.725432.658123
1.737922.657743
1.750492.657369
1.763152.657
1.77592.656636
1.788752.656277
1.801692.655923
1.814722.655575
1.827852.655231
1.841072.654892
1.854392.654558
1.867812.654229
1.881322.653904
1.894932.653584
1.908642.653268
1.922442.652957
1.936352.652649
1.950362.652346
1.964462.652047
1.978682.651752
1.992992.651461
2.007412.651174
2.021932.650891
2.036552.650611
2.051292.650336
2.066122.650063
2.081072.649795
2.096122.64953
2.111292.649268
2.126562.64901
2.141942.648755
2.157442.648503
2.173052.648254
2.188772.648008
2.20462.647766
2.220552.647527
2.236612.64729
2.252792.647056
2.269092.646826
2.28552.646598
2.302032.646372
2.318692.64615
2.335462.64593
2.352352.645712
2.369372.645497
2.386512.645285
2.403772.645075
2.421162.644867
2.438682.644662
2.456322.644458
2.474092.644258
2.491982.644059
2.510012.643862
2.528172.643668
2.546462.643475
2.564882.643285
2.583432.643097
2.602122.64291
2.620942.642725
2.63992.642542
2.6592.642361
2.678232.642182
2.697612.642004
2.717122.641828
2.736782.641654
2.756572.641481
2.776512.64131
2.79662.64114
2.816832.640972
2.837212.640805
2.857732.64064
2.87842.640476
2.899232.640313
2.92022.640151
2.941322.639991
2.96262.639832
2.984032.639674
3.005622.639517
3.027362.639362
3.049262.639207
3.071322.639053
3.093532.638901
3.115912.638749
3.138452.638599
3.161162.638449
3.184022.6383
3.207062.638152
3.230262.638004
3.253622.637858
3.277162.637712
3.300872.637567
3.324742.637422
3.348792.637279
3.373022.637135
3.397422.636993
3.4222.636851
3.446752.636709
3.471682.636568
3.49682.636427
3.522092.636287
3.547572.636147
3.573232.636007
3.599082.635868
3.625122.635729
3.651342.63559
3.677752.635451
3.704362.635313
3.731162.635175
3.758152.635037
3.785332.634899
3.812722.634761
3.84032.634623
3.868082.634485
3.896062.634347
3.924242.634209
3.952632.634071
3.981222.633933
4.010022.633794
4.039032.633656
4.068252.633517
4.097682.633378
4.127322.633238
4.157182.633099
4.187252.632959
4.217542.632818
4.248052.632678
4.278782.632536
4.309732.632395
4.340912.632252
4.372312.63211
4.403942.631966
4.435792.631822
4.467882.631678
4.50022.631532
4.532762.631386
4.565552.63124
4.598572.631092
4.631842.630944
4.665342.630794
4.699092.630644
4.733082.630493
4.767322.630341
4.801812.630188
4.836552.630034
4.871532.629879
4.906772.629723
4.942272.629565
4.978022.629407
5.014032.629247
5.05032.629086
5.086832.628923
5.123632.62876
5.16072.628595
5.198032.628428
5.235632.62826
5.27352.62809
5.311652.627919
5.350072.627747
5.388782.627572
5.427762.627396
5.467022.627219
5.506572.627039
5.54642.626858
5.586532.626675
5.626942.626489
5.667642.626302
5.708642.626113
5.749942.625922
5.791532.625729
5.833432.625533
5.875632.625336
5.918132.625136
5.960942.624933
6.004062.624729
6.047492.624522
6.091242.624312
6.13532.6241
6.179692.623885
6.224392.623668
6.269422.623447
6.314772.623224
6.360452.622999
6.406462.62277
6.45282.622538
6.499482.622303
6.54652.622066
6.593852.621825
6.641552.62158
6.68962.621333
6.737992.621082
6.786732.620827
6.835832.620569
6.885282.620307
6.935082.620042
6.985252.619773
7.035782.6195
7.086682.619223
7.137942.618942
7.189582.618657
7.241592.618367
7.293972.618074
7.346732.617776
7.399882.617473
7.453412.617166
7.507332.616854
7.561632.616538
7.616332.616216
7.671432.61589
7.726922.615558
7.782822.615221
7.839122.614879
7.895832.614532
7.952942.614179
8.010472.61382
8.068422.613456
8.126792.613085
8.185582.612709
8.244792.612326
8.304432.611937
8.36452.611541
8.425012.611139
8.485962.61073
8.547342.610315
8.609172.609892
8.671452.609462
8.734182.609024
8.797362.608579
8.8612.608127
8.92512.607666
8.989662.607198
9.054692.606721
9.12022.606235
9.186172.605742
9.252622.605239
9.319552.604727
9.386972.604206
9.454872.603675
9.523272.603135
9.592162.602585
9.661552.602025
9.731442.601454
9.801842.600873
9.872742.600281
9.944162.599677
10.01612.599062
10.08852.598436
10.16152.597797
10.2352.597146
10.30912.596483
10.38372.595807
10.45882.595117
10.53442.594414
10.61062.593696
10.68742.592965
10.76472.592219
10.84262.591458
10.9212.590681
112.589888

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
—