Optical constants
Refractive index of SiO2 - Quartz (o) (CRYSTRAN)
SiO2 - Quartz (o): n,k 0.193–2.01 µm
- Data
- tabulated n + tabulated k
- Range
- 0.193–2.01 µm
- Points
- 29
- Optical axis
- o
- State
- crystalline
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.54412
- Extinction coefficient k
- 1.31623e-07
- Permittivity ε1
- 2.38432
- Permittivity ε2
- 4.06485e-07
- Absorption coefficient α
- 0.0281488 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 7.10509e+08 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0517241 µm⁻¹
- Group index ng
- 1.57452
- 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
# SiO2 - Quartz (o) (CRYSTRAN): SiO2 - Quartz (o)
mat = ls.fetch_refractiveindex("specs", "CRYSTRAN-optical", "quartz-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (193, 2010) nm
eps = mat.eps([633]) # 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_28bf0f0753a1/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (crystran-quartz-o/crystran).
# ... load mat as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
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 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.
Comments and conditions
Conditions
- direction
- o
Properties
- density
- value: 2649
- thermal dispersion
- type: constant, value: -5.5e-06, direction: para, wavelength: 0.633; type: constant, value: -6.5e-06, direction: perp, wavelength: 0.633
- thermal expansion
- value: 7.1e-06, direction: para, temperature: 323; value: 13.2e-06, direction: perp, temperature: 323
- hardness
- type: Knoop, value: 7.27e9, indenter mass: 0.5
- melting point
- value: 1983
- thermal conductivity
- value: 10.7, direction: para, temperature: 323; value: 6.2, direction: perp, temperature: 323
- youngs modulus
- value: 97.2e9, direction: para; value: 76.5e9, direction: perp
- solubility
- value: 0.017
Thermo-optic coefficient
- dn/dT = -5.50e-06 K⁻¹ at 633 nm (para)
- dn/dT = -6.50e-06 K⁻¹ at 633 nm (perp)
References
See also Crystran Crystal Quartz SiO2 online data sheet
Cite
Crystran Ltd. The Crystran handbook of infra-red and ultra-violet optical materials (5th edition, 2023); See also Crystran Crystal Quartz SiO2 online data sheet; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 29 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.193 | 1.661 | 2.360000e-07 |
| 0.213 | 1.632 | 1.710000e-07 |
| 0.222 | 1.622 | 1.747640e-07 |
| 0.226 | 1.619 | 1.742920e-07 |
| 0.248 | 1.602 | 1.716960e-07 |
| 0.257 | 1.596 | 1.706340e-07 |
| 0.28 | 1.585 | 1.679200e-07 |
| 0.308 | 1.576 | 1.646160e-07 |
| 0.325 | 1.571 | 1.626100e-07 |
| 0.351 | 1.565 | 1.595420e-07 |
| 0.4 | 1.558 | 1.537600e-07 |
| 0.458 | 1.552 | 1.469160e-07 |
| 0.488 | 1.55 | 1.433760e-07 |
| 0.515 | 1.548 | 1.401900e-07 |
| 0.532 | 1.547 | 1.381840e-07 |
| 0.59 | 1.544 | 1.313400e-07 |
| 0.633 | 1.543 | 1.262660e-07 |
| 0.67 | 1.541 | 1.219000e-07 |
| 0.694 | 1.541 | 1.190680e-07 |
| 0.755 | 1.539 | 1.118700e-07 |
| 0.78 | 1.539 | 1.089200e-07 |
| 0.8 | 1.538 | 1.065600e-07 |
| 0.82 | 1.538 | 1.042000e-07 |
| 0.86 | 1.537 | 9.948000e-08 |
| 0.98 | 1.535 | 8.532000e-08 |
| 1.064 | 1.534 | 7.540800e-08 |
| 1.32 | 1.531 | 5.860000e-07 |
| 1.55 | 1.528 | 1.130000e-06 |
| 2.01 | 1.521 | 1.960000e-06 |
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
- —
Optically, Crystalline Quartz is used extensively as a wave retardation medium. The birefringent properties of Quartz are of use in quarter-wave plates and in polarisers. Quartz should not be processed or used at temperatures greater than 490 °C. Crystalline quartz is also used for electronic filters and resonators. However, Crystran Ltd. does not deal in material for this application. Quartz is mined naturally, but more commonly produced synthetically in large, long-faceted crystals. Quartz is positive birefringent. Be careful not to confuse terminology in this material, as "Fused Quartz" is often used to denote the glassy non-crystalline form better known as Silica. Normal Quartz is Alpha Quartz and normally RH rotating. LH rotating is available on special order. See our guide on distinguishing the types.At temperatures >490°C, Crystal Quartz starts to revert to glassy state, a process which is complete by 530°C. At this time, as annealling is unlikely, fracture of component is probable.
REFERENCES:
(1)J.V.Atansoff and P.J.Hart, Phys. Rev. Vol.59, pp 85-96 1941
(2)A.W.Lawson, Phys. Rev. Vol 59, pp.838-839, 1941
(3) F.J.Micheli, Ann.Physik 4:7 (1902)
(4) Toyoda & Yabe J. Phys. D: Appl. Phys.,1 6 (1983)
Optical data are for ordinary ray (o).