Optical constants
Refractive index of CaSO4 (Calcium sulfate)
Querry 1987: n,k(γ) 2.50–55.6 µm
- Data
- tabulated nk
- Range
- 2.5–55.56 µm
- Points
- 383
- Optical axis
- gamma
- Licence
- CC0-1.0
Biaxial crystal, axes: gamma
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.59173
- Extinction coefficient k
- 0.181252
- Permittivity ε1
- 2.50076
- Permittivity ε2
- 0.577009
- Absorption coefficient α
- 1930.24 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 10361.4 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0642398 µm⁻¹
- Group index ng
- 2.34976
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 0.105071 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
# CaSO4 (Calcium sulfate): Querry 1987: n,k(γ) 2.50–55.6 µm
caso4 = ls.fetch_refractiveindex("main", "CaSO4", "Querry-γ", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(caso4.range_nm) # (2500, 55555.6) nm
eps = caso4.eps([11800]) # 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_8c4d89eb2ee3/lightsmith"
caso4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(caso4.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (caso4/querry-1987-3).
# ... load caso4 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=caso4)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=2500, stop_nm=55560, 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.
Comments and conditions
Conditions
- direction
- gamma
References
Cite
M. R. Querry. Optical constants of minerals and other materials from the millimeter to the ultraviolet, Contractor Report CRDEC-CR-88009 (1987); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
383 rows as published| λ (µm) | n | k |
|---|---|---|
| 2.5 | 1.521 | 0.0 |
| 2.5063 | 1.521 | 0.0 |
| 2.5126 | 1.521 | 0.0 |
| 2.5189 | 1.521 | 0.0 |
| 2.5253 | 1.521 | 0.001 |
| 2.5316 | 1.521 | 0.001 |
| 2.5381 | 1.521 | 0.001 |
| 2.5445 | 1.521 | 0.002 |
| 2.551 | 1.521 | 0.002 |
| 2.5575 | 1.521 | 0.002 |
| 2.5641 | 1.521 | 0.002 |
| 2.5707 | 1.521 | 0.002 |
| 2.5773 | 1.521 | 0.002 |
| 2.584 | 1.521 | 0.002 |
| 2.5907 | 1.521 | 0.002 |
| 2.5974 | 1.521 | 0.002 |
| 2.6042 | 1.521 | 0.001 |
| 2.611 | 1.52 | 0.001 |
| 2.6178 | 1.52 | 0.001 |
| 2.6247 | 1.52 | 0.001 |
| 2.6316 | 1.52 | 0.001 |
| 2.6385 | 1.519 | 0.0 |
| 2.6455 | 1.519 | 0.0 |
| 2.6525 | 1.518 | 0.0 |
| 2.6596 | 1.518 | 0.0 |
| 2.6667 | 1.517 | 0.0 |
| 2.6738 | 1.517 | 0.0 |
| 2.681 | 1.516 | 0.0 |
| 2.6882 | 1.515 | 0.0 |
| 2.6954 | 1.514 | 0.0 |
| 2.7027 | 1.513 | 0.0 |
| 2.71 | 1.512 | 0.0 |
| 2.7174 | 1.51 | 0.0 |
| 2.7248 | 1.509 | 0.0 |
| 2.7322 | 1.508 | 0.0 |
| 2.7397 | 1.507 | 0.0 |
| 2.7473 | 1.505 | 0.0 |
| 2.7548 | 1.504 | 0.0 |
| 2.7624 | 1.503 | 0.0 |
| 2.7701 | 1.502 | 0.001 |
| 2.7778 | 1.502 | 0.002 |
| 2.7855 | 1.501 | 0.003 |
| 2.7933 | 1.5 | 0.004 |
| 2.8011 | 1.5 | 0.005 |
| 2.809 | 1.5 | 0.006 |
| 2.8169 | 1.499 | 0.006 |
| 2.8249 | 1.499 | 0.007 |
| 2.8329 | 1.499 | 0.008 |
| 2.8409 | 1.499 | 0.009 |
| 2.849 | 1.499 | 0.009 |
| 2.8571 | 1.499 | 0.009 |
| 2.8653 | 1.499 | 0.009 |
| 2.8736 | 1.499 | 0.01 |
| 2.8818 | 1.499 | 0.01 |
| 2.8902 | 1.498 | 0.01 |
| 2.8986 | 1.498 | 0.01 |
| 2.907 | 1.498 | 0.011 |
| 2.9155 | 1.497 | 0.011 |
| 2.924 | 1.497 | 0.011 |
| 2.9326 | 1.496 | 0.011 |
| 2.9412 | 1.496 | 0.012 |
| 2.9499 | 1.496 | 0.012 |
| 2.9586 | 1.495 | 0.012 |
| 2.9674 | 1.494 | 0.012 |
| 2.9762 | 1.494 | 0.013 |
| 2.9851 | 1.493 | 0.013 |
| 2.994 | 1.492 | 0.014 |
| 3.003 | 1.492 | 0.014 |
| 3.012 | 1.491 | 0.016 |
| 3.0211 | 1.49 | 0.016 |
| 3.0303 | 1.49 | 0.017 |
| 3.0395 | 1.49 | 0.018 |
| 3.0488 | 1.49 | 0.019 |
| 3.0581 | 1.49 | 0.02 |
| 3.0675 | 1.49 | 0.02 |
| 3.0769 | 1.489 | 0.02 |
| 3.0864 | 1.489 | 0.021 |
| 3.096 | 1.488 | 0.022 |
| 3.1056 | 1.488 | 0.022 |
| 3.1153 | 1.487 | 0.024 |
| 3.125 | 1.487 | 0.024 |
| 3.1348 | 1.487 | 0.026 |
| 3.1447 | 1.487 | 0.027 |
| 3.1546 | 1.487 | 0.028 |
| 3.1646 | 1.488 | 0.029 |
| 3.1746 | 1.488 | 0.03 |
| 3.1847 | 1.489 | 0.031 |
| 3.1949 | 1.489 | 0.032 |
| 3.2051 | 1.49 | 0.033 |
| 3.2154 | 1.49 | 0.033 |
| 3.2258 | 1.491 | 0.034 |
| 3.2362 | 1.492 | 0.035 |
| 3.2468 | 1.493 | 0.035 |
| 3.2573 | 1.494 | 0.036 |
| 3.263 | 1.495 | 0.036 |
| 3.2787 | 1.496 | 0.036 |
| 3.2895 | 1.497 | 0.035 |
| 3.3003 | 1.497 | 0.035 |
| 3.3113 | 1.498 | 0.034 |
| 3.3223 | 1.498 | 0.034 |
| 3.3333 | 1.498 | 0.033 |
| 3.3445 | 1.498 | 0.033 |
| 3.3557 | 1.498 | 0.033 |
| 3.367 | 1.498 | 0.033 |
| 3.3784 | 1.498 | 0.033 |
| 3.3898 | 1.498 | 0.032 |
| 3.4014 | 1.498 | 0.032 |
| 3.413 | 1.498 | 0.032 |
| 3.4247 | 1.498 | 0.032 |
| 3.4364 | 1.498 | 0.032 |
| 3.4483 | 1.499 | 0.033 |
| 3.4602 | 1.499 | 0.033 |
| 3.4722 | 1.5 | 0.033 |
| 3.4843 | 1.5 | 0.033 |
| 3.4965 | 1.501 | 0.032 |
| 3.5088 | 1.501 | 0.032 |
| 3.5211 | 1.502 | 0.032 |
| 3.5336 | 1.502 | 0.031 |
| 3.5461 | 1.502 | 0.03 |
| 3.5587 | 1.502 | 0.03 |
| 3.5714 | 1.503 | 0.029 |
| 3.5842 | 1.503 | 0.028 |
| 3.5971 | 1.504 | 0.027 |
| 3.6101 | 1.505 | 0.027 |
| 3.6232 | 1.505 | 0.025 |
| 3.6364 | 1.505 | 0.023 |
| 3.6496 | 1.505 | 0.021 |
| 3.663 | 1.504 | 0.019 |
| 3.6765 | 1.502 | 0.017 |
| 3.69 | 1.501 | 0.016 |
| 3.7037 | 1.5 | 0.015 |
| 3.7175 | 1.498 | 0.014 |
| 3.7313 | 1.497 | 0.013 |
| 3.7453 | 1.496 | 0.013 |
| 3.7594 | 1.494 | 0.012 |
| 3.7736 | 1.493 | 0.011 |
| 3.7879 | 1.491 | 0.011 |
| 3.8023 | 1.489 | 0.01 |
| 3.8168 | 1.488 | 0.01 |
| 3.8314 | 1.486 | 0.01 |
| 3.8462 | 1.484 | 0.01 |
| 3.861 | 1.482 | 0.01 |
| 3.876 | 1.481 | 0.011 |
| 3.8911 | 1.479 | 0.011 |
| 3.9063 | 1.478 | 0.011 |
| 3.9216 | 1.477 | 0.012 |
| 3.937 | 1.476 | 0.012 |
| 3.9526 | 1.475 | 0.012 |
| 3.9683 | 1.473 | 0.012 |
| 3.9841 | 1.471 | 0.012 |
| 4.0 | 1.469 | 0.012 |
| 4.0161 | 1.468 | 0.013 |
| 4.0323 | 1.466 | 0.014 |
| 4.0486 | 1.465 | 0.015 |
| 4.065 | 1.464 | 0.016 |
| 4.0816 | 1.463 | 0.016 |
| 4.0984 | 1.461 | 0.017 |
| 4.1152 | 1.46 | 0.018 |
| 4.1322 | 1.459 | 0.019 |
| 4.1494 | 1.458 | 0.02 |
| 4.1667 | 1.457 | 0.021 |
| 4.1841 | 1.456 | 0.022 |
| 4.2017 | 1.455 | 0.023 |
| 4.2194 | 1.455 | 0.024 |
| 4.2373 | 1.454 | 0.025 |
| 4.2553 | 1.453 | 0.026 |
| 4.2735 | 1.452 | 0.027 |
| 4.2918 | 1.452 | 0.027 |
| 4.3103 | 1.451 | 0.028 |
| 4.329 | 1.45 | 0.029 |
| 4.3478 | 1.45 | 0.03 |
| 4.3668 | 1.449 | 0.031 |
| 4.386 | 1.449 | 0.032 |
| 4.4053 | 1.448 | 0.032 |
| 4.4248 | 1.446 | 0.033 |
| 4.4444 | 1.445 | 0.034 |
| 4.4643 | 1.446 | 0.036 |
| 4.4843 | 1.446 | 0.036 |
| 4.5045 | 1.445 | 0.036 |
| 4.5249 | 1.445 | 0.037 |
| 4.5455 | 1.445 | 0.038 |
| 4.5662 | 1.443 | 0.037 |
| 4.5872 | 1.442 | 0.037 |
| 4.6083 | 1.439 | 0.038 |
| 4.6296 | 1.435 | 0.04 |
| 4.6512 | 1.434 | 0.045 |
| 4.6729 | 1.436 | 0.052 |
| 4.6948 | 1.441 | 0.054 |
| 4.717 | 1.447 | 0.052 |
| 4.7393 | 1.447 | 0.048 |
| 4.7619 | 1.445 | 0.046 |
| 4.7847 | 1.444 | 0.045 |
| 4.8077 | 1.442 | 0.045 |
| 4.8309 | 1.441 | 0.046 |
| 4.8544 | 1.441 | 0.047 |
| 4.878 | 1.441 | 0.046 |
| 4.902 | 1.44 | 0.046 |
| 4.9261 | 1.439 | 0.046 |
| 4.9505 | 1.439 | 0.048 |
| 4.9751 | 1.439 | 0.048 |
| 5.0 | 1.439 | 0.047 |
| 5.0251 | 1.437 | 0.047 |
| 5.0505 | 1.437 | 0.047 |
| 5.0761 | 1.436 | 0.047 |
| 5.102 | 1.435 | 0.046 |
| 5.1282 | 1.435 | 0.046 |
| 5.1546 | 1.435 | 0.045 |
| 5.1813 | 1.433 | 0.043 |
| 5.2083 | 1.43 | 0.044 |
| 5.2356 | 1.428 | 0.045 |
| 5.2632 | 1.427 | 0.045 |
| 5.291 | 1.426 | 0.046 |
| 5.3191 | 1.426 | 0.045 |
| 5.3476 | 1.425 | 0.044 |
| 5.3763 | 1.423 | 0.043 |
| 5.4054 | 1.42 | 0.043 |
| 5.4348 | 1.418 | 0.043 |
| 5.4645 | 1.416 | 0.043 |
| 5.4945 | 1.414 | 0.043 |
| 5.5249 | 1.412 | 0.044 |
| 5.5556 | 1.41 | 0.045 |
| 5.5866 | 1.409 | 0.045 |
| 5.618 | 1.406 | 0.045 |
| 5.6497 | 1.404 | 0.046 |
| 5.6818 | 1.402 | 0.046 |
| 5.7143 | 1.4 | 0.046 |
| 5.7471 | 1.397 | 0.047 |
| 5.7803 | 1.396 | 0.048 |
| 5.814 | 1.394 | 0.048 |
| 5.848 | 1.392 | 0.048 |
| 5.8824 | 1.39 | 0.049 |
| 5.9172 | 1.388 | 0.049 |
| 5.9524 | 1.385 | 0.048 |
| 5.988 | 1.382 | 0.049 |
| 6.0241 | 1.38 | 0.05 |
| 6.0606 | 1.379 | 0.05 |
| 6.0976 | 1.374 | 0.049 |
| 6.135 | 1.371 | 0.052 |
| 6.1728 | 1.371 | 0.054 |
| 6.2112 | 1.371 | 0.053 |
| 6.25 | 1.368 | 0.05 |
| 6.2893 | 1.363 | 0.048 |
| 6.3291 | 1.359 | 0.048 |
| 6.3694 | 1.355 | 0.047 |
| 6.4103 | 1.35 | 0.047 |
| 6.4516 | 1.346 | 0.047 |
| 6.4935 | 1.342 | 0.048 |
| 6.5359 | 1.338 | 0.048 |
| 6.5789 | 1.333 | 0.047 |
| 6.6225 | 1.328 | 0.047 |
| 6.6667 | 1.323 | 0.046 |
| 6.7114 | 1.318 | 0.045 |
| 6.7568 | 1.311 | 0.043 |
| 6.8027 | 1.304 | 0.042 |
| 6.8493 | 1.296 | 0.043 |
| 6.8966 | 1.29 | 0.042 |
| 6.9444 | 1.281 | 0.04 |
| 6.993 | 1.272 | 0.04 |
| 7.0423 | 1.262 | 0.041 |
| 7.0922 | 1.254 | 0.04 |
| 7.1429 | 1.243 | 0.039 |
| 7.1942 | 1.23 | 0.039 |
| 7.2464 | 1.218 | 0.039 |
| 7.2993 | 1.206 | 0.039 |
| 7.3529 | 1.192 | 0.037 |
| 7.4074 | 1.175 | 0.036 |
| 7.4627 | 1.158 | 0.034 |
| 7.5188 | 1.137 | 0.032 |
| 7.5758 | 1.114 | 0.03 |
| 7.6336 | 1.085 | 0.029 |
| 7.6923 | 1.05 | 0.024 |
| 7.7519 | 1.02 | 0.042 |
| 7.8925 | 0.996 | 0.046 |
| 7.874 | 0.968 | 0.033 |
| 7.9365 | 0.9 | 0.02 |
| 8.0 | 0.824 | 0.016 |
| 8.0645 | 0.733 | 0.015 |
| 8.1301 | 0.605 | 0.031 |
| 8.1967 | 0.406 | 0.052 |
| 8.2645 | 0.137 | 0.325 |
| 8.3333 | 0.116 | 0.599 |
| 8.4034 | 0.122 | 0.855 |
| 8.4746 | 0.142 | 1.092 |
| 8.547 | 0.174 | 1.359 |
| 8.6207 | 0.238 | 1.678 |
| 8.6957 | 0.349 | 2.094 |
| 8.7719 | 0.607 | 2.735 |
| 8.8496 | 1.75 | 3.972 |
| 8.9286 | 3.898 | 1.864 |
| 9.009 | 3.171 | 0.92 |
| 9.0909 | 2.764 | 0.572 |
| 9.1743 | 2.491 | 0.438 |
| 9.2593 | 2.321 | 0.371 |
| 9.3458 | 2.203 | 0.327 |
| 9.434 | 2.106 | 0.297 |
| 9.5238 | 2.041 | 0.279 |
| 9.6154 | 1.982 | 0.261 |
| 9.7087 | 1.936 | 0.247 |
| 9.8039 | 1.897 | 0.239 |
| 9.901 | 1.867 | 0.23 |
| 10.0 | 1.836 | 0.221 |
| 10.101 | 1.809 | 0.214 |
| 10.2041 | 1.786 | 0.208 |
| 10.3093 | 1.767 | 0.203 |
| 10.4167 | 1.745 | 0.199 |
| 10.5263 | 1.728 | 0.193 |
| 10.6383 | 1.709 | 0.184 |
| 10.7527 | 1.696 | 0.186 |
| 10.8696 | 1.679 | 0.184 |
| 10.989 | 1.664 | 0.186 |
| 11.1111 | 1.656 | 0.184 |
| 11.236 | 1.642 | 0.181 |
| 11.3636 | 1.626 | 0.183 |
| 11.4943 | 1.618 | 0.18 |
| 11.6279 | 1.605 | 0.178 |
| 11.7647 | 1.594 | 0.181 |
| 11.9048 | 1.585 | 0.182 |
| 12.0482 | 1.577 | 0.179 |
| 12.1951 | 1.567 | 0.178 |
| 12.3457 | 1.553 | 0.179 |
| 12.5 | 1.545 | 0.18 |
| 12.6582 | 1.533 | 0.178 |
| 12.8205 | 1.521 | 0.182 |
| 12.987 | 1.512 | 0.176 |
| 13.1579 | 1.495 | 0.176 |
| 13.3333 | 1.482 | 0.183 |
| 13.5135 | 1.469 | 0.182 |
| 13.6986 | 1.455 | 0.184 |
| 13.8889 | 1.439 | 0.187 |
| 14.0845 | 1.416 | 0.191 |
| 14.2857 | 1.398 | 0.2 |
| 14.4928 | 1.406 | 0.21 |
| 14.7059 | 1.394 | 0.182 |
| 14.9254 | 1.357 | 0.148 |
| 15.1515 | 1.272 | 0.14 |
| 15.3846 | 1.186 | 0.123 |
| 15.625 | 1.053 | 0.117 |
| 15.873 | 0.522 | 0.271 |
| 16.129 | 0.347 | 0.956 |
| 16.3934 | 0.797 | 2.238 |
| 16.6667 | 3.008 | 0.951 |
| 16.9492 | 2.088 | 0.343 |
| 17.2414 | 1.873 | 0.307 |
| 17.5439 | 1.775 | 0.279 |
| 17.8571 | 1.705 | 0.267 |
| 18.1818 | 1.653 | 0.256 |
| 18.5185 | 1.617 | 0.254 |
| 18.8679 | 1.583 | 0.243 |
| 19.2308 | 1.559 | 0.242 |
| 19.6078 | 1.536 | 0.236 |
| 20.0 | 1.511 | 0.231 |
| 20.4082 | 1.489 | 0.228 |
| 20.8333 | 1.473 | 0.222 |
| 21.2766 | 1.447 | 0.217 |
| 21.7391 | 1.427 | 0.215 |
| 22.2222 | 1.406 | 0.212 |
| 22.7273 | 1.379 | 0.2 |
| 23.2558 | 1.35 | 0.199 |
| 23.8095 | 1.331 | 0.198 |
| 24.3902 | 1.294 | 0.191 |
| 25.0 | 1.263 | 0.186 |
| 25.641 | 1.226 | 0.177 |
| 26.3158 | 1.186 | 0.169 |
| 27.027 | 1.136 | 0.166 |
| 27.7778 | 1.088 | 0.169 |
| 28.5714 | 1.048 | 0.137 |
| 29.4118 | 0.976 | 0.13 |
| 30.303 | 0.897 | 0.12 |
| 31.25 | 0.798 | 0.109 |
| 32.2581 | 0.658 | 0.099 |
| 33.3333 | 0.465 | 0.108 |
| 34.4828 | 0.291 | 0.331 |
| 35.7143 | 0.209 | 0.5 |
| 37.037 | 0.168 | 0.678 |
| 38.4615 | 0.158 | 0.839 |
| 40.0 | 0.163 | 1.006 |
| 41.6667 | 0.203 | 1.196 |
| 43.4783 | 0.388 | 1.454 |
| 45.4545 | 0.823 | 1.349 |
| 47.619 | 0.917 | 1.058 |
| 50.0 | 0.925 | 0.761 |
| 52.6316 | 0.68 | 0.263 |
| 55.5556 | 0.24 | 0.033 |
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
- —
nγ, kγ.