Optical constants
Refractive index of Li (Lithium)
Rasigni and Rasigni 1977: n,k 0.116–8.27 µm
- Data
- tabulated nk
- Range
- 0.1164–8.266 µm
- Points
- 36
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 0.211906
- Extinction coefficient k
- 2.67854
- Permittivity ε1
- -7.12966
- Permittivity ε2
- 1.13519
- Absorption coefficient α
- 572830 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 34.9144 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 0.188679 µm⁻¹
- Group index ng
- 0.101038
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — 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
# Li (Lithium): Rasigni and Rasigni 1977: n,k 0.116–8.27 µm
li = ls.fetch_refractiveindex("main", "Li", "Rasigni", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(li.range_nm) # (116.4, 8266) nm
eps = li.eps([633]) # complex permittivity
Downloads 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_28ae17468668/lightsmith"
li = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(li.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (li/rasigni-rasigni-1977).
# ... load li as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=li)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same 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.
References
- doi:10.1364/josa.67.000054 Optical constants of lithium deposits as determined from the Kramers-Kronig analysis, Journal of the Optical Society of America (1977)
Cite
Monique Rasigni and Georges Rasigni. Optical constants of lithium deposits as determined from the Kramers-Kronig analysis. Journal of the Optical Society of America, 67, 54 (1977), doi:10.1364/josa.67.000054; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
36 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.1164 | 0.753 | 0.081 |
| 0.1198 | 0.743 | 0.102 |
| 0.1234 | 0.726 | 0.108 |
| 0.1272 | 0.708 | 0.119 |
| 0.1312 | 0.68 | 0.13 |
| 0.1355 | 0.657 | 0.144 |
| 0.1401 | 0.624 | 0.164 |
| 0.145 | 0.601 | 0.189 |
| 0.1503 | 0.572 | 0.213 |
| 0.156 | 0.546 | 0.246 |
| 0.1621 | 0.518 | 0.282 |
| 0.1687 | 0.492 | 0.32 |
| 0.1759 | 0.466 | 0.364 |
| 0.1837 | 0.44 | 0.407 |
| 0.1922 | 0.408 | 0.46 |
| 0.2016 | 0.377 | 0.522 |
| 0.2119 | 0.342 | 0.594 |
| 0.2234 | 0.31 | 0.688 |
| 0.2362 | 0.299 | 0.795 |
| 0.2505 | 0.302 | 0.906 |
| 0.2666 | 0.317 | 1.01 |
| 0.285 | 0.334 | 1.11 |
| 0.3061 | 0.346 | 1.21 |
| 0.3306 | 0.345 | 1.32 |
| 0.3594 | 0.335 | 1.45 |
| 0.3936 | 0.305 | 1.6 |
| 0.435 | 0.248 | 1.82 |
| 0.4862 | 0.217 | 2.11 |
| 0.551 | 0.205 | 2.48 |
| 0.6358 | 0.221 | 2.94 |
| 0.7514 | 0.265 | 3.54 |
| 0.9184 | 0.338 | 4.36 |
| 1.181 | 0.448 | 5.58 |
| 1.653 | 0.561 | 7.68 |
| 2.755 | 0.662 | 12.6 |
| 8.266 | 0.366 | 38.0 |
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
- —