Optical constants

Refractive index of HgS (Mercury sulfide)

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

Data
formula 2
Range
0.62–11 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 0.62–11 µm
Refractive index n
2.90732
Extinction coefficient k
0
Permittivity ε1
8.4525
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0133114 µm⁻¹
Group index ng
2.94206
Group velocity dispersion
391.562 fs²/mm
Dispersion parameter D
-108.273 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(e) 0.62–11 µm
hgs = ls.fetch_refractiveindex("main", "HgS", "Bond-e", 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=3.0101+4.3736λ2λ2−0.1284+1.5604λ2λ2−705.0

Valid from 0.62 to 11.0 µm.

Coefficients as stored
CiValue
C13.0101
C24.3736
C30.1284
C41.5604
C5705.0

Comments and conditions

Extraordinary ray (e).

Conditions

direction
e

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(e) 0.62–11 µm: n and k versus wavelength
λ (µm)n
0.623.25215
0.6244853.244944
0.6290023.237926
0.6335533.231088
0.6381363.224425
0.6427523.21793
0.6474013.211599
0.6520853.205425
0.6568023.199403
0.6615533.193529
0.6663393.187797
0.6711593.182203
0.6760143.176743
0.6809043.171411
0.685833.166205
0.6907913.161121
0.6957883.156154
0.7008213.151302
0.7058913.14656
0.7109973.141925
0.7161413.137395
0.7213213.132966
0.7265393.128635
0.7317953.1244
0.7370883.120257
0.742423.116205
0.7477913.11224
0.75323.108361
0.7586493.104564
0.7641373.100848
0.7696653.09721
0.7752323.093649
0.780843.090162
0.7864893.086747
0.7921783.083403
0.7979093.080127
0.8036813.076918
0.8094943.073774
0.815353.070694
0.8212483.067675
0.8271893.064717
0.8331733.061818
0.83923.058975
0.8452713.056189
0.8513853.053458
0.8575443.050779
0.8637473.048153
0.8699963.045577
0.8762893.043051
0.8826283.040574
0.8890133.038143
0.8954443.035759
0.9019223.033419
0.9084463.031124
0.9150183.028872
0.9216373.026661
0.9283043.024492
0.9350193.022363
0.9417833.020273
0.9485953.018222
0.9554583.016208
0.9623693.014231
0.9693313.012289
0.9763433.010383
0.9834063.008511
0.9905193.006673
0.9976853.004868
1.00493.003094
1.012173.001353
1.019492.999642
1.026872.997961
1.03432.99631
1.041782.994688
1.049312.993094
1.056912.991528
1.064552.98999
1.072252.988477
1.080012.986991
1.087822.985531
1.095692.984095
1.103622.982684
1.11162.981297
1.119642.979934
1.127742.978594
1.13592.977276
1.144112.975981
1.152392.974707
1.160732.973455
1.169122.972224
1.177582.971013
1.18612.969822
1.194682.968651
1.203322.9675
1.212032.966367
1.220792.965253
1.229632.964157
1.238522.963079
1.247482.962019
1.25652.960976
1.265592.95995
1.274752.958941
1.283972.957947
1.293262.95697
1.302612.956009
1.312042.955063
1.321532.954132
1.331092.953216
1.340722.952314
1.350412.951427
1.360182.950554
1.370022.949694
1.379932.948848
1.389922.948016
1.399972.947196
1.41012.946389
1.42032.945595
1.430572.944813
1.440922.944044
1.451342.943286
1.461842.94254
1.472422.941805
1.483072.941082
1.49382.94037
1.50462.939668
1.515492.938978
1.526452.938298
1.537492.937628
1.548612.936968
1.559822.936319
1.57112.935679
1.582472.935048
1.593912.934427
1.605442.933816
1.617062.933213
1.628752.93262
1.640542.932035
1.65242.931459
1.664362.930891
1.67642.930332
1.688522.929781
1.700742.929238
1.713042.928703
1.725432.928176
1.737922.927656
1.750492.927144
1.763152.926639
1.77592.926142
1.788752.925651
1.801692.925168
1.814722.924691
1.827852.924221
1.841072.923758
1.854392.923301
1.867812.922851
1.881322.922407
1.894932.921969
1.908642.921538
1.922442.921112
1.936352.920692
1.950362.920278
1.964462.919869
1.978682.919466
1.992992.919069
2.007412.918677
2.021932.91829
2.036552.917908
2.051292.917532
2.066122.91716
2.081072.916793
2.096122.916432
2.111292.916074
2.126562.915722
2.141942.915374
2.157442.91503
2.173052.914691
2.188772.914356
2.20462.914026
2.220552.913699
2.236612.913377
2.252792.913059
2.269092.912744
2.28552.912434
2.302032.912127
2.318692.911824
2.335462.911524
2.352352.911228
2.369372.910936
2.386512.910647
2.403772.910361
2.421162.910079
2.438682.9098
2.456322.909524
2.474092.909251
2.491982.908981
2.510012.908715
2.528172.908451
2.546462.90819
2.564882.907931
2.583432.907676
2.602122.907423
2.620942.907173
2.63992.906925
2.6592.90668
2.678232.906437
2.697612.906197
2.717122.905959
2.736782.905723
2.756572.90549
2.776512.905259
2.79662.90503
2.816832.904803
2.837212.904578
2.857732.904355
2.87842.904133
2.899232.903914
2.92022.903697
2.941322.903481
2.96262.903267
2.984032.903055
3.005622.902844
3.027362.902635
3.049262.902428
3.071322.902222
3.093532.902018
3.115912.901814
3.138452.901613
3.161162.901412
3.184022.901213
3.207062.901015
3.230262.900818
3.253622.900623
3.277162.900428
3.300872.900235
3.324742.900042
3.348792.899851
3.373022.89966
3.397422.89947
3.4222.899281
3.446752.899093
3.471682.898906
3.49682.898719
3.522092.898533
3.547572.898348
3.573232.898163
3.599082.897979
3.625122.897795
3.651342.897612
3.677752.897429
3.704362.897246
3.731162.897064
3.758152.896882
3.785332.896701
3.812722.896519
3.84032.896338
3.868082.896157
3.896062.895976
3.924242.895795
3.952632.895614
3.981222.895433
4.010022.895252
4.039032.89507
4.068252.894889
4.097682.894708
4.127322.894526
4.157182.894344
4.187252.894161
4.217542.893978
4.248052.893795
4.278782.893612
4.309732.893428
4.340912.893243
4.372312.893058
4.403942.892872
4.435792.892685
4.467882.892498
4.50022.89231
4.532762.892121
4.565552.891931
4.598572.891741
4.631842.891549
4.665342.891357
4.699092.891164
4.733082.890969
4.767322.890773
4.801812.890577
4.836552.890378
4.871532.890179
4.906772.889979
4.942272.889777
4.978022.889573
5.014032.889368
5.05032.889162
5.086832.888954
5.123632.888745
5.16072.888534
5.198032.888321
5.235632.888106
5.27352.88789
5.311652.887671
5.350072.887451
5.388782.887229
5.427762.887005
5.467022.886778
5.506572.88655
5.54642.886319
5.586532.886086
5.626942.885851
5.667642.885613
5.708642.885373
5.749942.88513
5.791532.884885
5.833432.884637
5.875632.884386
5.918132.884132
5.960942.883876
6.004062.883617
6.047492.883355
6.091242.883089
6.13532.882821
6.179692.882549
6.224392.882274
6.269422.881996
6.314772.881714
6.360452.881429
6.406462.88114
6.45282.880848
6.499482.880551
6.54652.880251
6.593852.879947
6.641552.879639
6.68962.879327
6.737992.87901
6.786732.87869
6.835832.878365
6.885282.878035
6.935082.877701
6.985252.877362
7.035782.877018
7.086682.87667
7.137942.876316
7.189582.875958
7.241592.875594
7.293972.875224
7.346732.87485
7.399882.87447
7.453412.874084
7.507332.873692
7.561632.873294
7.616332.87289
7.671432.87248
7.726922.872064
7.782822.871641
7.839122.871212
7.895832.870775
7.952942.870332
8.010472.869882
8.068422.869425
8.126792.86896
8.185582.868488
8.244792.868008
8.304432.86752
8.36452.867024
8.425012.866519
8.485962.866007
8.547342.865485
8.609172.864955
8.671452.864416
8.734182.863868
8.797362.86331
8.8612.862743
8.92512.862166
8.989662.861579
9.054692.860981
9.12022.860373
9.186172.859754
9.252622.859125
9.319552.858483
9.386972.857831
9.454872.857166
9.523272.85649
9.592162.855801
9.661552.855099
9.731442.854384
9.801842.853656
9.872742.852914
9.944162.852159
10.01612.851389
10.08852.850604
10.16152.849805
10.2352.84899
10.30912.848159
10.38372.847312
10.45882.846449
10.53442.845568
10.61062.84467
10.68742.843754
10.76472.84282
10.84262.841867
10.9212.840894
112.839902

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
—