Optical constants
Refractive index of PbTe (Lead telluride)
Weiting and Yixun 1990: n 5.19–12.5 µm; 130 K
- Data
- formula 4
- Range
- 5.189–12.51 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 6.0172
- Extinction coefficient k
- 0
- Permittivity ε1
- 36.2067
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0565194 µm⁻¹
- Group index ng
- 6.47274
- Group velocity dispersion
- 14171.1 fs²/mm
- Dispersion parameter D
- -410.898 ps/(nm·km)
- Photon energy
- 0.153827 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
# PbTe (Lead telluride): Weiting and Yixun 1990: n 5.19–12.5 µm; 130 K
pbte = ls.fetch_refractiveindex("main", "PbTe", "Weiting-130K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pbte.range_nm) # (5189, 12510) nm
eps = pbte.eps([8060]) # complex permittivityDownloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_f42ceadb8310/lightsmith"
pbte = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(pbte.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (pbte/weiting-yixun-1990-130k).
# ... load pbte as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=pbte)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=5189, stop_nm=12510, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelengthSame spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
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
RefractiveIndex.INFO (formula 4), λ in µmValid from 5.189 to 12.51 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.0 |
| C2 | 33.851 |
| C3 | 2.0 |
| C4 | 3.6068 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.009763 |
| C11 | 2.0 |
Comments and conditions
References
F. Weiting and Y. Yixun.
Temperature effects on the refractive index of lead telluride and zinc selenide.
Infrared Phys. 30, 371-373, 1990
(fitting experimental data with dispersion formula: refractiveindex.info)
(fitting experimental data with dispersion formula: refractiveindex.info)
- doi:10.1016/0020-0891(90)90055-z Temperature effects on the refractive index of lead telluride and zinc selenide, Infrared Physics (1990)
Cite
Feng Weiting and Yan Yixun. Temperature effects on the refractive index of lead telluride and zinc selenide. Infrared Physics, 30, 371-373 (1990), doi:10.1016/0020-0891(90)90055-z; 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
CSV comma separated
TXT tab separated
YAML n, k
Full database record original YAML
All quantities CSV
JSON metadata
| λ (µm) | n |
|---|---|
| 5.189 | 6.310622 |
| 5.20046 | 6.308423 |
| 5.21194 | 6.306234 |
| 5.22345 | 6.304057 |
| 5.23498 | 6.30189 |
| 5.24654 | 6.299734 |
| 5.25812 | 6.297589 |
| 5.26973 | 6.295455 |
| 5.28137 | 6.29333 |
| 5.29303 | 6.291217 |
| 5.30471 | 6.289113 |
| 5.31643 | 6.28702 |
| 5.32816 | 6.284938 |
| 5.33993 | 6.282865 |
| 5.35172 | 6.280802 |
| 5.36353 | 6.27875 |
| 5.37538 | 6.276707 |
| 5.38725 | 6.274675 |
| 5.39914 | 6.272652 |
| 5.41106 | 6.270639 |
| 5.42301 | 6.268635 |
| 5.43498 | 6.266642 |
| 5.44698 | 6.264658 |
| 5.45901 | 6.262683 |
| 5.47106 | 6.260718 |
| 5.48314 | 6.258762 |
| 5.49525 | 6.256815 |
| 5.50738 | 6.254878 |
| 5.51954 | 6.25295 |
| 5.53173 | 6.251031 |
| 5.54394 | 6.249121 |
| 5.55618 | 6.24722 |
| 5.56845 | 6.245328 |
| 5.58074 | 6.243445 |
| 5.59306 | 6.24157 |
| 5.60541 | 6.239705 |
| 5.61779 | 6.237848 |
| 5.63019 | 6.236 |
| 5.64262 | 6.23416 |
| 5.65508 | 6.232329 |
| 5.66757 | 6.230506 |
| 5.68008 | 6.228692 |
| 5.69262 | 6.226886 |
| 5.70519 | 6.225089 |
| 5.71779 | 6.223299 |
| 5.73041 | 6.221518 |
| 5.74307 | 6.219745 |
| 5.75575 | 6.21798 |
| 5.76845 | 6.216224 |
| 5.78119 | 6.214475 |
| 5.79395 | 6.212734 |
| 5.80675 | 6.211001 |
| 5.81957 | 6.209275 |
| 5.83242 | 6.207558 |
| 5.84529 | 6.205848 |
| 5.8582 | 6.204146 |
| 5.87114 | 6.202451 |
| 5.8841 | 6.200765 |
| 5.89709 | 6.199085 |
| 5.91011 | 6.197413 |
| 5.92316 | 6.195749 |
| 5.93624 | 6.194091 |
| 5.94934 | 6.192442 |
| 5.96248 | 6.190799 |
| 5.97564 | 6.189163 |
| 5.98884 | 6.187535 |
| 6.00206 | 6.185914 |
| 6.01531 | 6.1843 |
| 6.02859 | 6.182693 |
| 6.0419 | 6.181093 |
| 6.05524 | 6.1795 |
| 6.06861 | 6.177914 |
| 6.08201 | 6.176334 |
| 6.09544 | 6.174762 |
| 6.1089 | 6.173196 |
| 6.12239 | 6.171637 |
| 6.13591 | 6.170084 |
| 6.14945 | 6.168538 |
| 6.16303 | 6.166999 |
| 6.17664 | 6.165466 |
| 6.19028 | 6.16394 |
| 6.20394 | 6.16242 |
| 6.21764 | 6.160906 |
| 6.23137 | 6.159399 |
| 6.24513 | 6.157898 |
| 6.25892 | 6.156404 |
| 6.27273 | 6.154915 |
| 6.28658 | 6.153433 |
| 6.30046 | 6.151957 |
| 6.31438 | 6.150487 |
| 6.32832 | 6.149023 |
| 6.34229 | 6.147565 |
| 6.35629 | 6.146113 |
| 6.37033 | 6.144667 |
| 6.38439 | 6.143227 |
| 6.39849 | 6.141793 |
| 6.41262 | 6.140364 |
| 6.42677 | 6.138942 |
| 6.44096 | 6.137525 |
| 6.45519 | 6.136114 |
| 6.46944 | 6.134708 |
| 6.48372 | 6.133308 |
| 6.49804 | 6.131914 |
| 6.51238 | 6.130525 |
| 6.52676 | 6.129141 |
| 6.54117 | 6.127764 |
| 6.55562 | 6.126391 |
| 6.57009 | 6.125024 |
| 6.5846 | 6.123662 |
| 6.59913 | 6.122306 |
| 6.61371 | 6.120955 |
| 6.62831 | 6.119609 |
| 6.64294 | 6.118268 |
| 6.65761 | 6.116933 |
| 6.67231 | 6.115602 |
| 6.68704 | 6.114277 |
| 6.70181 | 6.112957 |
| 6.7166 | 6.111642 |
| 6.73143 | 6.110331 |
| 6.74629 | 6.109026 |
| 6.76119 | 6.107726 |
| 6.77612 | 6.10643 |
| 6.79108 | 6.10514 |
| 6.80607 | 6.103854 |
| 6.8211 | 6.102573 |
| 6.83616 | 6.101297 |
| 6.85125 | 6.100025 |
| 6.86638 | 6.098758 |
| 6.88154 | 6.097496 |
| 6.89674 | 6.096238 |
| 6.91196 | 6.094985 |
| 6.92722 | 6.093737 |
| 6.94252 | 6.092493 |
| 6.95785 | 6.091254 |
| 6.97321 | 6.090019 |
| 6.98861 | 6.088788 |
| 7.00404 | 6.087562 |
| 7.0195 | 6.08634 |
| 7.035 | 6.085123 |
| 7.05053 | 6.083909 |
| 7.0661 | 6.0827 |
| 7.0817 | 6.081496 |
| 7.09734 | 6.080295 |
| 7.11301 | 6.079099 |
| 7.12871 | 6.077907 |
| 7.14445 | 6.076719 |
| 7.16022 | 6.075535 |
| 7.17603 | 6.074355 |
| 7.19188 | 6.073179 |
| 7.20776 | 6.072007 |
| 7.22367 | 6.070839 |
| 7.23962 | 6.069675 |
| 7.2556 | 6.068515 |
| 7.27162 | 6.067358 |
| 7.28768 | 6.066206 |
| 7.30377 | 6.065057 |
| 7.3199 | 6.063912 |
| 7.33606 | 6.062771 |
| 7.35226 | 6.061634 |
| 7.36849 | 6.0605 |
| 7.38476 | 6.05937 |
| 7.40106 | 6.058244 |
| 7.4174 | 6.057121 |
| 7.43378 | 6.056002 |
| 7.45019 | 6.054886 |
| 7.46664 | 6.053774 |
| 7.48313 | 6.052665 |
| 7.49965 | 6.05156 |
| 7.51621 | 6.050459 |
| 7.5328 | 6.04936 |
| 7.54944 | 6.048266 |
| 7.56611 | 6.047174 |
| 7.58281 | 6.046086 |
| 7.59955 | 6.045001 |
| 7.61633 | 6.04392 |
| 7.63315 | 6.042841 |
| 7.65 | 6.041766 |
| 7.66689 | 6.040694 |
| 7.68382 | 6.039626 |
| 7.70079 | 6.03856 |
| 7.71779 | 6.037498 |
| 7.73483 | 6.036438 |
| 7.75191 | 6.035382 |
| 7.76902 | 6.034329 |
| 7.78617 | 6.033279 |
| 7.80337 | 6.032232 |
| 7.8206 | 6.031188 |
| 7.83786 | 6.030146 |
| 7.85517 | 6.029108 |
| 7.87251 | 6.028073 |
| 7.88989 | 6.02704 |
| 7.90731 | 6.02601 |
| 7.92477 | 6.024983 |
| 7.94227 | 6.023959 |
| 7.95981 | 6.022938 |
| 7.97738 | 6.02192 |
| 7.99499 | 6.020904 |
| 8.01265 | 6.019891 |
| 8.03034 | 6.01888 |
| 8.04807 | 6.017872 |
| 8.06584 | 6.016867 |
| 8.08365 | 6.015865 |
| 8.10149 | 6.014865 |
| 8.11938 | 6.013867 |
| 8.13731 | 6.012873 |
| 8.15527 | 6.01188 |
| 8.17328 | 6.01089 |
| 8.19133 | 6.009903 |
| 8.20941 | 6.008918 |
| 8.22754 | 6.007935 |
| 8.2457 | 6.006955 |
| 8.26391 | 6.005977 |
| 8.28215 | 6.005002 |
| 8.30044 | 6.004029 |
| 8.31877 | 6.003058 |
| 8.33714 | 6.00209 |
| 8.35554 | 6.001123 |
| 8.37399 | 6.000159 |
| 8.39248 | 5.999197 |
| 8.41101 | 5.998238 |
| 8.42958 | 5.99728 |
| 8.44819 | 5.996325 |
| 8.46685 | 5.995372 |
| 8.48554 | 5.994421 |
| 8.50427 | 5.993472 |
| 8.52305 | 5.992525 |
| 8.54187 | 5.99158 |
| 8.56073 | 5.990637 |
| 8.57963 | 5.989696 |
| 8.59857 | 5.988757 |
| 8.61756 | 5.98782 |
| 8.63659 | 5.986885 |
| 8.65565 | 5.985952 |
| 8.67477 | 5.985021 |
| 8.69392 | 5.984091 |
| 8.71311 | 5.983164 |
| 8.73235 | 5.982238 |
| 8.75163 | 5.981314 |
| 8.77096 | 5.980392 |
| 8.79032 | 5.979472 |
| 8.80973 | 5.978553 |
| 8.82918 | 5.977636 |
| 8.84867 | 5.976721 |
| 8.86821 | 5.975807 |
| 8.88779 | 5.974895 |
| 8.90742 | 5.973985 |
| 8.92708 | 5.973076 |
| 8.94679 | 5.972169 |
| 8.96655 | 5.971264 |
| 8.98634 | 5.97036 |
| 9.00618 | 5.969457 |
| 9.02607 | 5.968556 |
| 9.046 | 5.967657 |
| 9.06597 | 5.966759 |
| 9.08599 | 5.965863 |
| 9.10605 | 5.964967 |
| 9.12615 | 5.964074 |
| 9.1463 | 5.963181 |
| 9.1665 | 5.962291 |
| 9.18674 | 5.961401 |
| 9.20702 | 5.960513 |
| 9.22735 | 5.959626 |
| 9.24772 | 5.95874 |
| 9.26814 | 5.957856 |
| 9.2886 | 5.956973 |
| 9.30911 | 5.956091 |
| 9.32967 | 5.95521 |
| 9.35027 | 5.954331 |
| 9.37091 | 5.953452 |
| 9.3916 | 5.952575 |
| 9.41234 | 5.951699 |
| 9.43312 | 5.950824 |
| 9.45394 | 5.94995 |
| 9.47482 | 5.949078 |
| 9.49574 | 5.948206 |
| 9.5167 | 5.947335 |
| 9.53772 | 5.946466 |
| 9.55877 | 5.945597 |
| 9.57988 | 5.944729 |
| 9.60103 | 5.943863 |
| 9.62223 | 5.942997 |
| 9.64347 | 5.942132 |
| 9.66477 | 5.941268 |
| 9.68611 | 5.940405 |
| 9.70749 | 5.939543 |
| 9.72892 | 5.938681 |
| 9.75041 | 5.937821 |
| 9.77193 | 5.936961 |
| 9.79351 | 5.936102 |
| 9.81513 | 5.935244 |
| 9.8368 | 5.934387 |
| 9.85852 | 5.93353 |
| 9.88029 | 5.932674 |
| 9.9021 | 5.931819 |
| 9.92397 | 5.930964 |
| 9.94588 | 5.93011 |
| 9.96784 | 5.929257 |
| 9.98985 | 5.928404 |
| 10.0119 | 5.927552 |
| 10.034 | 5.926701 |
| 10.0562 | 5.92585 |
| 10.0784 | 5.924999 |
| 10.1006 | 5.92415 |
| 10.1229 | 5.9233 |
| 10.1453 | 5.922451 |
| 10.1677 | 5.921603 |
| 10.1901 | 5.920755 |
| 10.2126 | 5.919908 |
| 10.2352 | 5.91906 |
| 10.2578 | 5.918214 |
| 10.2804 | 5.917367 |
| 10.3031 | 5.916522 |
| 10.3259 | 5.915676 |
| 10.3487 | 5.914831 |
| 10.3715 | 5.913986 |
| 10.3944 | 5.913141 |
| 10.4174 | 5.912297 |
| 10.4404 | 5.911453 |
| 10.4634 | 5.910609 |
| 10.4865 | 5.909765 |
| 10.5097 | 5.908921 |
| 10.5329 | 5.908078 |
| 10.5561 | 5.907235 |
| 10.5794 | 5.906392 |
| 10.6028 | 5.905549 |
| 10.6262 | 5.904706 |
| 10.6497 | 5.903864 |
| 10.6732 | 5.903021 |
| 10.6967 | 5.902178 |
| 10.7204 | 5.901336 |
| 10.744 | 5.900493 |
| 10.7677 | 5.899651 |
| 10.7915 | 5.898808 |
| 10.8154 | 5.897966 |
| 10.8392 | 5.897123 |
| 10.8632 | 5.896281 |
| 10.8871 | 5.895438 |
| 10.9112 | 5.894595 |
| 10.9353 | 5.893752 |
| 10.9594 | 5.892909 |
| 10.9836 | 5.892065 |
| 11.0079 | 5.891222 |
| 11.0322 | 5.890378 |
| 11.0565 | 5.889534 |
| 11.0809 | 5.88869 |
| 11.1054 | 5.887846 |
| 11.1299 | 5.887001 |
| 11.1545 | 5.886156 |
| 11.1791 | 5.885311 |
| 11.2038 | 5.884465 |
| 11.2286 | 5.883619 |
| 11.2533 | 5.882773 |
| 11.2782 | 5.881926 |
| 11.3031 | 5.881079 |
| 11.328 | 5.880232 |
| 11.3531 | 5.879384 |
| 11.3781 | 5.878536 |
| 11.4032 | 5.877687 |
| 11.4284 | 5.876837 |
| 11.4537 | 5.875988 |
| 11.4789 | 5.875137 |
| 11.5043 | 5.874286 |
| 11.5297 | 5.873435 |
| 11.5551 | 5.872583 |
| 11.5807 | 5.87173 |
| 11.6062 | 5.870877 |
| 11.6319 | 5.870023 |
| 11.6575 | 5.869169 |
| 11.6833 | 5.868314 |
| 11.7091 | 5.867458 |
| 11.7349 | 5.866601 |
| 11.7608 | 5.865744 |
| 11.7868 | 5.864886 |
| 11.8128 | 5.864027 |
| 11.8389 | 5.863168 |
| 11.865 | 5.862307 |
| 11.8912 | 5.861446 |
| 11.9175 | 5.860584 |
| 11.9438 | 5.859721 |
| 11.9702 | 5.858858 |
| 11.9966 | 5.857993 |
| 12.0231 | 5.857128 |
| 12.0496 | 5.856261 |
| 12.0762 | 5.855394 |
| 12.1029 | 5.854525 |
| 12.1296 | 5.853656 |
| 12.1564 | 5.852786 |
| 12.1833 | 5.851915 |
| 12.2102 | 5.851042 |
| 12.2371 | 5.850169 |
| 12.2641 | 5.849295 |
| 12.2912 | 5.848419 |
| 12.3183 | 5.847542 |
| 12.3455 | 5.846665 |
| 12.3728 | 5.845786 |
| 12.4001 | 5.844906 |
| 12.4275 | 5.844024 |
| 12.4549 | 5.843142 |
| 12.4824 | 5.842258 |
| 12.51 | 5.841374 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
130 K (-143 °C)