Optical constants

Refractive index of H2O, D2O (Water, heavy water, ice)

Rowe et al. 2020: Water; n,k 0.667–10400 µm; -33 °C

Data
tabulated nk
Range
0.6667–1.04e+04 µm
Points
15556
Temperature
240 K
State
liquid
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.6667–1.04e+04 µm
Refractive index n
1.95334
Extinction coefficient k
0.380835
Permittivity ε1
3.67049
Permittivity ε2
1.4878
Absorption coefficient α
574.516 cm⁻¹
Penetration depth δ = λ/(2πk)
34811.9 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.00388154 µm⁻¹
Group index ng
1.63
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.0148841 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

# H2O, D2O (Water, heavy water, ice): Rowe et al. 2020: Water; n,k 0.667–10400 µm; -33 °C
h2o_d2o = ls.fetch_refractiveindex("main", "H2O", "Rowe-240K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(h2o_d2o.range_nm)  # (666.684, 1.03959e+07) nm
eps = h2o_d2o.eps([83300])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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

Supercooled liquid water (H2O) at -33 °C

Conditions

temperature
240 K

References

P. M. Rowe, M. Fergoda, S. Neshyba. Temperature-dependent optical properties of liquid water from 240 to 298 K. J. Geophys. Res. Atmos. 125, e2020JD032624 (2020) (Numerical data kindly provided by Penny Rowe)
  • doi:10.1029/2020jd032624 Temperature‐Dependent Optical Properties of Liquid Water From 240 to 298 K, Journal of Geophysical Research: Atmospheres (2020)

Cite

P. M. Rowe, M. Fergoda and S. Neshyba. Temperature‐Dependent Optical Properties of Liquid Water From 240 to 298 K. Journal of Geophysical Research: Atmospheres, 125, e2020JD032624 (2020), doi:10.1029/2020jd032624; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

15556 rows as published
H2O, D2O (Water, heavy water, ice), Rowe et al. 2020: Water; n,k 0.667–10400 µm; -33 °C: n and k versus wavelength
λ (µm)nk
0.666683731.32778372.4214387e-08
0.666726581.32778372.4214387e-08
0.666769481.32778362.4214387e-08
0.666812341.32778332.4214387e-08
0.666855211.3277832.4214387e-08
0.666898081.32778282.4214387e-08
0.6669411.32778252.4214387e-08
0.666983881.32778222.4214387e-08
0.667026771.32778192.4214387e-08
0.667069671.32778172.4214387e-08
0.667112561.32778142.4214387e-08
0.667155511.32778112.4214387e-08
0.667198421.32778082.4214387e-08
0.667241341.32778052.4214387e-08
0.667284261.32778032.4214387e-08
0.667327231.327782.4214387e-08
0.667370161.32777972.4214387e-08
0.66741311.32777942.4214387e-08
0.667456041.32777912.4214387e-08
0.667499041.32777892.4214387e-08
0.667541991.32777862.4214387e-08
0.667584951.32777832.4214387e-08
0.667627921.3277782.4214387e-08
0.667670931.32777772.4214387e-08
0.667713911.32777752.4214387e-08
0.667756891.32777722.4214387e-08
0.667799881.32777692.4214387e-08
0.667842871.32777662.4214387e-08
0.667885911.32777632.4214387e-08
0.667928921.32777612.4214387e-08
0.667971931.32777582.4214387e-08
0.668014941.32777552.4214387e-08
0.668058011.32777522.4214387e-08
0.668101041.32777492.4214387e-08
0.668144071.32777472.4214387e-08
0.66818711.32777442.4214387e-08
0.668230191.32777412.4214387e-08
0.668273241.32777382.4214387e-08
0.668316291.32777352.4214387e-08
0.668359351.32777332.4214387e-08
0.668402461.3277732.4214387e-08
0.668445531.32777272.4214387e-08
0.668488611.32777242.4214387e-08
0.668531691.32777212.4214387e-08
0.668574781.32777192.4214387e-08
0.668617921.32777162.4214387e-08
0.668661021.32777132.4214387e-08
0.668704121.3277712.4214387e-08
0.668747231.32777072.4214387e-08
0.668790391.32777042.4214387e-08
0.668833511.32777022.4214387e-08
0.668876641.32776992.4214387e-08
0.668919771.32776962.4214387e-08
0.668962951.32776932.4214387e-08
0.669006091.3277692.4214387e-08
0.669049241.32776882.4214387e-08
0.669092391.32776852.4214387e-08
0.669135551.32776822.4214387e-08
0.669178761.32776792.4214387e-08
0.669221931.32776762.4214387e-08
0.669265111.32776732.4214387e-08
0.669308291.32776712.4214387e-08
0.669351521.32776682.4214387e-08
0.669394721.32776652.4214387e-08
0.669437921.32776622.4214387e-08
0.669481121.32776592.4214387e-08
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0.669567591.32776542.4214387e-08
0.669610811.32776512.4214387e-08
0.669654041.32776482.4214387e-08
0.669697311.32776452.4214387e-08
0.669740551.32776422.4214387e-08
0.66978381.3277642.4214387e-08
0.669827041.32776372.4214387e-08
0.66987031.32776342.4214387e-08
0.66991361.32776312.4214387e-08
0.669956871.32776282.4214387e-08
0.670000141.32776252.4214387e-08
0.670043421.32776232.4214387e-08
0.670086741.3277622.4214387e-08
0.670130031.32776172.4214387e-08
0.670173331.32776142.4214387e-08
0.670216631.32776112.4214387e-08
0.670259981.32776082.4214387e-08
0.670303291.32776062.4214387e-08
0.67034661.32776032.4214387e-08
0.670389921.327762.4214387e-08
0.670433251.32775972.4214387e-08
0.670476631.32775942.4214387e-08
0.670519971.32775912.4214387e-08
0.670563311.32775892.4214387e-08
0.670606661.32775862.4214387e-08
0.670650061.32775832.4214387e-08
0.670693421.3277582.4214387e-08
0.670736791.32775772.4214387e-08
0.670780161.32775742.4214387e-08
0.670823581.32775712.4214387e-08
0.670866961.32775692.4214387e-08
0.670910351.32775662.4214387e-08
0.670953751.32775632.4214387e-08
0.670997191.3277562.4214387e-08
0.67104061.32775572.4214387e-08
0.671084011.32775542.4214387e-08
0.671127431.32775522.4214387e-08
0.671170851.32775492.4214387e-08
0.671214321.32775462.4214387e-08
0.671257761.32775432.4214387e-08
0.67130121.3277542.4214387e-08
0.671344641.32775372.4214387e-08
0.671388141.32775342.4214387e-08
0.671431591.32775322.4214387e-08
0.671475051.32775292.4214387e-08
0.671518521.32775262.4214387e-08
0.671562041.32775232.4214387e-08
0.671605521.3277522.4214387e-08
0.6716491.32775172.4214387e-08
0.671692491.32775142.4214387e-08
0.671735991.32775122.4214387e-08
0.671779541.32775092.4214387e-08
0.671823041.32775062.4214387e-08
0.671866561.32775032.4214387e-08
0.671910071.327752.4214387e-08
0.671953641.32774972.4214387e-08
0.671997171.32774942.4214387e-08
0.672040711.32774922.4214387e-08
0.672084251.32774892.4214387e-08
0.672127841.32774862.4214387e-08
0.672171391.32774832.4214387e-08
0.672214951.3277482.4214387e-08
0.672258511.32774772.4214387e-08
0.672302131.32774742.4214387e-08
0.67234571.32774722.4214387e-08
0.672389281.32774692.4214387e-08
0.672432871.32774662.4214387e-08
0.672476461.32774632.4214387e-08
0.67252011.3277462.4214387e-08
0.672563711.32774572.4214387e-08
0.672607311.32774542.4214387e-08
0.672650931.32774512.4214387e-08
0.672694591.32774492.4214387e-08
0.672738221.32774462.4214387e-08
0.672781851.32774432.4214387e-08
0.672825491.3277442.4214387e-08
0.672869171.32774372.4214387e-08
0.672912821.32774342.4214387e-08
0.672956481.32774312.4214387e-08
0.673000141.32774292.4214387e-08
0.67304381.32774262.4214387e-08
0.673087521.32774232.4214387e-08
0.673131191.3277422.4214387e-08
0.673174881.32774172.4214387e-08
0.673218561.32774142.4214387e-08
0.67326231.32774112.4214387e-08
0.6733061.32774082.4214387e-08
0.673349711.32774062.4214387e-08
0.673393421.32774032.4214387e-08
0.673437181.327742.4214387e-08
0.67348091.32773972.4214387e-08
0.673524631.32773942.4214387e-08
0.673568361.32773912.4214387e-08
0.673612151.32773882.4214387e-08
0.673655891.32773852.4214387e-08
0.673699641.32773822.4214387e-08
0.67374341.3277382.4214387e-08
0.673787161.32773772.4214387e-08
0.673830971.32773742.4214387e-08
0.673874751.32773712.4214387e-08
0.673918521.32773682.4214387e-08
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0.674006141.32773622.4214387e-08
0.674049941.32773592.4214387e-08
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0.674137551.32773542.4214387e-08
0.674181411.32773512.4214387e-08
0.674225231.32773482.4214387e-08
0.674269051.32773452.4214387e-08
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0.67470771.32773162.4214387e-08
0.674751631.32773132.4214387e-08
0.674795521.3277312.6077032e-08
0.674839421.32773072.6077032e-08
0.674883331.32773042.6077032e-08
0.674927281.32773012.6077032e-08
0.67497121.32772992.6077032e-08
0.675015121.32772962.6077032e-08
0.675059051.32772932.6077032e-08
0.675102981.3277292.6077032e-08
0.675146961.32772872.6077032e-08
0.675190911.32772842.6077032e-08
0.675234861.32772812.6077032e-08
0.675278811.32772782.6077032e-08
0.675322821.32772752.6077032e-08
0.675366791.32772722.6077032e-08
0.675410761.3277272.6077032e-08
0.675454741.32772672.6077032e-08
0.675498771.32772642.6077032e-08
0.675542761.32772612.6077032e-08
0.675586751.32772582.6077032e-08
0.675630761.32772552.6077032e-08
0.675674811.32772522.6077032e-08
0.675718821.32772492.6077032e-08
0.675762841.32772462.6077032e-08
0.675806861.32772432.6077032e-08
0.675850891.3277242.6077032e-08
0.675894981.32772382.6077032e-08
0.675939021.32772352.6077032e-08
0.675983071.32772322.6077032e-08
0.676027121.32772292.6077032e-08
0.676071221.32772262.6077032e-08
0.676115291.32772232.6077032e-08
0.676159361.3277222.6077032e-08
0.676203431.32772172.6077032e-08
0.676247561.32772142.6077032e-08
0.676291651.32772112.6077032e-08
0.676335741.32772082.6077032e-08
0.676379841.32772052.6077032e-08
0.676423951.32772032.6077032e-08
0.67646811.327722.6077032e-08
0.676512221.32771972.6077032e-08
0.676556341.32771942.6077032e-08
0.676600471.32771912.6077032e-08
0.676644651.32771882.6077032e-08
0.676688791.32771852.6077032e-08
0.676732931.32771822.6077032e-08
0.676777081.32771792.6077032e-08
0.676821291.32771762.6077032e-08
0.676865451.32771732.6077032e-08
0.676909621.3277172.6077032e-08
0.676953791.32771672.6077032e-08
0.676998021.32771652.6077032e-08
0.67704221.32771622.6077032e-08
0.677086391.32771592.6077032e-08
0.677130591.32771562.6077032e-08
0.677174791.32771532.6077032e-08
0.677219051.3277152.6077032e-08
0.677263261.32771472.6077032e-08
0.677307481.32771442.6077032e-08
0.677351711.32771412.6077032e-08
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0.677661541.32771212.6077032e-08
0.677705821.32771182.6077032e-08
0.677750091.32771152.6077032e-08
0.677794421.32771122.6077032e-08
0.677838711.32771092.6077032e-08
0.677883011.32771062.6077032e-08
0.677927311.32771032.6077032e-08
0.677971661.327712.6077032e-08
0.678015981.32770972.6077032e-08
0.678060291.32770942.6077032e-08
0.678104621.32770912.6077032e-08
0.6781491.32770882.6077032e-08
0.678193331.32770852.6077032e-08
0.678237671.32770822.6077032e-08
0.678282021.32770792.6077032e-08
0.678326421.32770762.6077032e-08
0.678370781.32770732.6077032e-08
0.678415141.32770712.6077032e-08
0.678459511.32770682.6077032e-08
0.678503891.32770652.6077032e-08
0.678548321.32770622.6077032e-08
0.678592711.32770592.6077032e-08
0.67863711.32770562.6077032e-08
0.67868151.32770532.6077032e-08
0.678725951.3277052.6077032e-08
0.678770361.32770472.6077032e-08
0.678814781.32770442.6077032e-08
0.67885921.32770412.6077032e-08
0.678903681.32770382.6077032e-08
0.678948111.32770352.6077032e-08
0.678992551.32770322.6077032e-08
0.6790371.32770292.6077032e-08
0.67908151.32770262.6077032e-08
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0.679214891.32770172.6077032e-08
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0.680016521.32769642.6077032e-08
0.680061151.32769612.6077032e-08
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0.680150331.32769552.6077032e-08
0.680194931.32769522.6077032e-08
0.680239581.32769492.6077032e-08
0.680284191.32769462.6077032e-08
0.68032881.32769432.6077032e-08
0.680373421.3276942.6077032e-08
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0.680462731.32769342.6077032e-08
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0.680552011.32769282.6077032e-08
0.680596671.32769252.6077032e-08
0.680641371.32769222.6077032e-08
0.680686031.32769192.6077032e-08
0.68073071.32769162.6077032e-08
0.680775371.32769132.6077032e-08
0.68082011.3276912.6077032e-08
0.680864791.32769072.6077032e-08
0.680909481.32769042.6077032e-08
0.680954171.32769022.6077032e-08
0.680998921.32768992.6077032e-08
0.681043631.32768962.6077032e-08
0.681088351.32768932.6077032e-08
0.681133071.3276892.6077032e-08
0.68117781.32768872.6077032e-08
0.681222581.32768842.6077032e-08
0.681267321.32768812.6077032e-08
0.681312061.32768782.6077032e-08
0.681356811.32768752.6077032e-08
0.681401611.32768722.6077032e-08
0.681446381.32768692.6077032e-08
0.681491141.32768662.6077032e-08
0.681535921.32768632.6077032e-08
0.681580741.3276862.6077032e-08
0.681625531.32768572.6077032e-08
0.681670321.32768542.6077032e-08
0.681715121.32768512.6077032e-08
0.681759971.32768482.6077032e-08
0.681804781.32768452.6077032e-08
0.681849591.32768422.6077032e-08
0.681894411.32768392.6077032e-08
0.681939241.32768362.6077032e-08
0.681984121.32768332.6077032e-08
0.682028961.3276832.6077032e-08
0.68207381.32768272.6077032e-08
0.682118661.32768242.6077032e-08
0.682163561.32768212.6077032e-08
0.682208421.32768182.6077032e-08
0.682253291.32768152.6077032e-08
0.682298161.32768122.6077032e-08
0.682343091.32768092.6077032e-08
0.682387981.32768062.6077032e-08
0.682432871.32768032.6077032e-08
0.682477771.327682.6077032e-08
0.682522671.32767972.6077032e-08
0.682567631.32767942.6077032e-08
0.682612541.32767912.6077032e-08
0.682657461.32767882.6077032e-08
0.682702391.32767852.6077032e-08
0.682747371.32767822.6077032e-08
0.682792311.32767792.6077032e-08
0.682837251.32767762.6077032e-08
0.682882211.32767732.6077032e-08
0.682927211.3276772.6077032e-08
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Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—