Optical constants
Refractive index of Li (Lithium)
Callcott and Arakawa 1974: n,k 0.115–0.207 µm
- Data
- tabulated nk
- Range
- 0.1153–0.2066 µm
- Points
- 20
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 0.547319
- Extinction coefficient k
- 0.217681
- Permittivity ε1
- 0.252173
- Permittivity ε2
- 0.238282
- Absorption coefficient α
- 177627 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 112.595 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -5.31915 µm⁻¹
- Group index ng
- 1.36647
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 8.05092 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): Callcott and Arakawa 1974: n,k 0.115–0.207 µm
li = ls.fetch_refractiveindex("main", "Li", "Callcott", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(li.range_nm) # (115.3, 206.6) nm
eps = li.eps([154]) # 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_ebc839f02c84/lightsmith"
li = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(li.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (li/callcott-arakawa-1974).
# ... 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=116, stop_nm=206, 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.
References
- doi:10.1364/josa.64.000839 Ultraviolet optical properties of Li, Journal of the Optical Society of America (1974)
Cite
T. A. Callcott and E. T. Arakawa. Ultraviolet optical properties of Li. Journal of the Optical Society of America, 64, 839 (1974), doi:10.1364/josa.64.000839; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
20 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.1153 | 0.755 | 0.096 |
| 0.1181 | 0.747 | 0.103 |
| 0.121 | 0.735 | 0.11 |
| 0.124 | 0.72 | 0.117 |
| 0.1272 | 0.701 | 0.124 |
| 0.1305 | 0.681 | 0.132 |
| 0.134 | 0.66 | 0.141 |
| 0.1378 | 0.638 | 0.152 |
| 0.1417 | 0.615 | 0.164 |
| 0.1459 | 0.59 | 0.18 |
| 0.1503 | 0.567 | 0.198 |
| 0.155 | 0.542 | 0.223 |
| 0.16 | 0.52 | 0.25 |
| 0.1653 | 0.498 | 0.285 |
| 0.171 | 0.478 | 0.324 |
| 0.1771 | 0.462 | 0.372 |
| 0.1837 | 0.445 | 0.425 |
| 0.1907 | 0.428 | 0.49 |
| 0.1984 | 0.414 | 0.588 |
| 0.2066 | 0.398 | 0.638 |
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
- —