Optical constants

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

Rowe et al. 2020: Water; n,k 0.667–10400 µm; -20 °C

Data
tabulated nk
Range
0.6667–1.04e+04 µm
Points
15556
Temperature
253 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
1.94617
Extinction coefficient k
0.409152
Permittivity ε1
3.62019
Permittivity ε2
1.59256
Absorption coefficient α
617.234 cm⁻¹
Penetration depth δ = λ/(2πk)
32402.6 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.00409839 µm⁻¹
Group index ng
1.60478
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; -20 °C
h2o_d2o = ls.fetch_refractiveindex("main", "H2O", "Rowe-253K", 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 -20 °C

Conditions

temperature
253 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; -20 °C: n and k versus wavelength
λ (µm)nk
0.666683731.32729932.4214387e-08
0.666726581.32729932.4214387e-08
0.666769481.32729922.4214387e-08
0.666812341.3272992.4214387e-08
0.666855211.32729872.4214387e-08
0.666898081.32729842.4214387e-08
0.6669411.32729812.4214387e-08
0.666983881.32729792.4214387e-08
0.667026771.32729762.4214387e-08
0.667069671.32729732.4214387e-08
0.667112561.3272972.4214387e-08
0.667155511.32729682.4214387e-08
0.667198421.32729652.4214387e-08
0.667241341.32729622.4214387e-08
0.667284261.32729592.4214387e-08
0.667327231.32729572.4214387e-08
0.667370161.32729542.4214387e-08
0.66741311.32729512.4214387e-08
0.667456041.32729482.4214387e-08
0.667499041.32729462.4214387e-08
0.667541991.32729432.4214387e-08
0.667584951.3272942.4214387e-08
0.667627921.32729372.4214387e-08
0.667670931.32729352.4214387e-08
0.667713911.32729322.4214387e-08
0.667756891.32729292.4214387e-08
0.667799881.32729262.4214387e-08
0.667842871.32729242.4214387e-08
0.667885911.32729212.4214387e-08
0.667928921.32729182.4214387e-08
0.667971931.32729152.4214387e-08
0.668014941.32729132.4214387e-08
0.668058011.3272912.4214387e-08
0.668101041.32729072.4214387e-08
0.668144071.32729042.4214387e-08
0.66818711.32729022.4214387e-08
0.668230191.32728992.4214387e-08
0.668273241.32728962.4214387e-08
0.668316291.32728932.4214387e-08
0.668359351.32728912.4214387e-08
0.668402461.32728882.4214387e-08
0.668445531.32728852.4214387e-08
0.668488611.32728822.4214387e-08
0.668531691.3272882.4214387e-08
0.668574781.32728772.4214387e-08
0.668617921.32728742.4214387e-08
0.668661021.32728712.4214387e-08
0.668704121.32728682.4214387e-08
0.668747231.32728662.4214387e-08
0.668790391.32728632.4214387e-08
0.668833511.3272862.4214387e-08
0.668876641.32728572.4214387e-08
0.668919771.32728552.4214387e-08
0.668962951.32728522.4214387e-08
0.669006091.32728492.4214387e-08
0.669049241.32728462.4214387e-08
0.669092391.32728442.4214387e-08
0.669135551.32728412.4214387e-08
0.669178761.32728382.4214387e-08
0.669221931.32728352.4214387e-08
0.669265111.32728322.4214387e-08
0.669308291.3272832.4214387e-08
0.669351521.32728272.4214387e-08
0.669394721.32728242.4214387e-08
0.669437921.32728212.4214387e-08
0.669481121.32728192.4214387e-08
0.669524381.32728162.4214387e-08
0.669567591.32728132.4214387e-08
0.669610811.3272812.4214387e-08
0.669654041.32728072.4214387e-08
0.669697311.32728052.4214387e-08
0.669740551.32728022.4214387e-08
0.66978381.32727992.4214387e-08
0.669827041.32727962.4214387e-08
0.66987031.32727932.4214387e-08
0.66991361.32727912.4214387e-08
0.669956871.32727882.4214387e-08
0.670000141.32727852.4214387e-08
0.670043421.32727822.4214387e-08
0.670086741.3272782.4214387e-08
0.670130031.32727772.4214387e-08
0.670173331.32727742.4214387e-08
0.670216631.32727712.4214387e-08
0.670259981.32727682.4214387e-08
0.670303291.32727662.4214387e-08
0.67034661.32727632.4214387e-08
0.670389921.3272762.4214387e-08
0.670433251.32727572.4214387e-08
0.670476631.32727542.4214387e-08
0.670519971.32727522.4214387e-08
0.670563311.32727492.4214387e-08
0.670606661.32727462.4214387e-08
0.670650061.32727432.4214387e-08
0.670693421.3272742.4214387e-08
0.670736791.32727382.4214387e-08
0.670780161.32727352.4214387e-08
0.670823581.32727322.4214387e-08
0.670866961.32727292.4214387e-08
0.670910351.32727272.4214387e-08
0.670953751.32727242.4214387e-08
0.670997191.32727212.4214387e-08
0.67104061.32727182.4214387e-08
0.671084011.32727152.4214387e-08
0.671127431.32727132.4214387e-08
0.671170851.3272712.4214387e-08
0.671214321.32727072.4214387e-08
0.671257761.32727042.4214387e-08
0.67130121.32727012.4214387e-08
0.671344641.32726992.4214387e-08
0.671388141.32726962.4214387e-08
0.671431591.32726932.4214387e-08
0.671475051.3272692.4214387e-08
0.671518521.32726872.4214387e-08
0.671562041.32726842.4214387e-08
0.671605521.32726822.4214387e-08
0.6716491.32726792.4214387e-08
0.671692491.32726762.4214387e-08
0.671735991.32726732.4214387e-08
0.671779541.3272672.4214387e-08
0.671823041.32726682.4214387e-08
0.671866561.32726652.4214387e-08
0.671910071.32726622.4214387e-08
0.671953641.32726592.4214387e-08
0.671997171.32726562.4214387e-08
0.672040711.32726542.4214387e-08
0.672084251.32726512.4214387e-08
0.672127841.32726482.4214387e-08
0.672171391.32726452.4214387e-08
0.672214951.32726422.4214387e-08
0.672258511.3272642.4214387e-08
0.672302131.32726372.4214387e-08
0.67234571.32726342.4214387e-08
0.672389281.32726312.4214387e-08
0.672432871.32726282.4214387e-08
0.672476461.32726252.4214387e-08
0.67252011.32726232.4214387e-08
0.672563711.3272622.4214387e-08
0.672607311.32726172.4214387e-08
0.672650931.32726142.4214387e-08
0.672694591.32726112.4214387e-08
0.672738221.32726082.4214387e-08
0.672781851.32726062.4214387e-08
0.672825491.32726032.4214387e-08
0.672869171.327262.4214387e-08
0.672912821.32725972.4214387e-08
0.672956481.32725942.4214387e-08
0.673000141.32725922.4214387e-08
0.67304381.32725892.4214387e-08
0.673087521.32725862.4214387e-08
0.673131191.32725832.4214387e-08
0.673174881.3272582.4214387e-08
0.673218561.32725772.4214387e-08
0.67326231.32725752.4214387e-08
0.6733061.32725722.4214387e-08
0.673349711.32725692.4214387e-08
0.673393421.32725662.4214387e-08
0.673437181.32725632.4214387e-08
0.67348091.3272562.4214387e-08
0.673524631.32725582.4214387e-08
0.673568361.32725552.4214387e-08
0.673612151.32725522.4214387e-08
0.673655891.32725492.4214387e-08
0.673699641.32725462.4214387e-08
0.67374341.32725432.4214387e-08
0.673787161.32725412.4214387e-08
0.673830971.32725382.4214387e-08
0.673874751.32725352.4214387e-08
0.673918521.32725322.4214387e-08
0.673962311.32725292.4214387e-08
0.674006141.32725262.4214387e-08
0.674049941.32725242.4214387e-08
0.674093741.32725212.4214387e-08
0.674137551.32725182.4214387e-08
0.674181411.32725152.4214387e-08
0.674225231.32725122.4214387e-08
0.674269051.32725092.4214387e-08
0.674312881.32725072.4214387e-08
0.674356761.32725042.4214387e-08
0.67440061.32725012.4214387e-08
0.674444451.32724982.4214387e-08
0.67448831.32724952.4214387e-08
0.674532161.32724922.4214387e-08
0.674576071.32724892.4214387e-08
0.674619941.32724872.4214387e-08
0.674663821.32724842.4214387e-08
0.67470771.32724812.4214387e-08
0.674751631.32724782.4214387e-08
0.674795521.32724752.6077032e-08
0.674839421.32724722.6077032e-08
0.674883331.32724692.6077032e-08
0.674927281.32724672.6077032e-08
0.67497121.32724642.6077032e-08
0.675015121.32724612.6077032e-08
0.675059051.32724582.6077032e-08
0.675102981.32724552.6077032e-08
0.675146961.32724522.6077032e-08
0.675190911.3272452.6077032e-08
0.675234861.32724472.6077032e-08
0.675278811.32724442.6077032e-08
0.675322821.32724412.6077032e-08
0.675366791.32724382.6077032e-08
0.675410761.32724352.6077032e-08
0.675454741.32724322.6077032e-08
0.675498771.3272432.6077032e-08
0.675542761.32724272.6077032e-08
0.675586751.32724242.6077032e-08
0.675630761.32724212.6077032e-08
0.675674811.32724182.6077032e-08
0.675718821.32724152.6077032e-08
0.675762841.32724122.6077032e-08
0.675806861.3272412.6077032e-08
0.675850891.32724072.6077032e-08
0.675894981.32724042.6077032e-08
0.675939021.32724012.6077032e-08
0.675983071.32723982.6077032e-08
0.676027121.32723952.6077032e-08
0.676071221.32723922.6077032e-08
0.676115291.32723892.6077032e-08
0.676159361.32723872.6077032e-08
0.676203431.32723842.6077032e-08
0.676247561.32723812.6077032e-08
0.676291651.32723782.6077032e-08
0.676335741.32723752.6077032e-08
0.676379841.32723722.6077032e-08
0.676423951.32723692.6077032e-08
0.67646811.32723672.6077032e-08
0.676512221.32723642.6077032e-08
0.676556341.32723612.6077032e-08
0.676600471.32723582.6077032e-08
0.676644651.32723552.6077032e-08
0.676688791.32723522.6077032e-08
0.676732931.32723492.6077032e-08
0.676777081.32723462.6077032e-08
0.676821291.32723442.6077032e-08
0.676865451.32723412.6077032e-08
0.676909621.32723382.6077032e-08
0.676953791.32723352.6077032e-08
0.676998021.32723322.6077032e-08
0.67704221.32723292.6077032e-08
0.677086391.32723262.6077032e-08
0.677130591.32723232.6077032e-08
0.677174791.3272322.6077032e-08
0.677219051.32723182.6077032e-08
0.677263261.32723152.6077032e-08
0.677307481.32723122.6077032e-08
0.677351711.32723092.6077032e-08
0.677395991.32723062.6077032e-08
0.677440221.32723032.6077032e-08
0.677484471.327232.6077032e-08
0.677528721.32722972.6077032e-08
0.677573021.32722952.6077032e-08
0.677617281.32722922.6077032e-08
0.677661541.32722892.6077032e-08
0.677705821.32722862.6077032e-08
0.677750091.32722832.6077032e-08
0.677794421.3272282.6077032e-08
0.677838711.32722772.6077032e-08
0.677883011.32722742.6077032e-08
0.677927311.32722712.6077032e-08
0.677971661.32722692.6077032e-08
0.678015981.32722662.6077032e-08
0.678060291.32722632.6077032e-08
0.678104621.3272262.6077032e-08
0.6781491.32722572.6077032e-08
0.678193331.32722542.6077032e-08
0.678237671.32722512.6077032e-08
0.678282021.32722482.6077032e-08
0.678326421.32722452.6077032e-08
0.678370781.32722422.6077032e-08
0.678415141.3272242.6077032e-08
0.678459511.32722372.6077032e-08
0.678503891.32722342.6077032e-08
0.678548321.32722312.6077032e-08
0.678592711.32722282.6077032e-08
0.67863711.32722252.6077032e-08
0.67868151.32722222.6077032e-08
0.678725951.32722192.6077032e-08
0.678770361.32722162.6077032e-08
0.678814781.32722132.6077032e-08
0.67885921.32722112.6077032e-08
0.678903681.32722082.6077032e-08
0.678948111.32722052.6077032e-08
0.678992551.32722022.6077032e-08
0.6790371.32721992.6077032e-08
0.67908151.32721962.6077032e-08
0.679125961.32721932.6077032e-08
0.679170421.3272192.6077032e-08
0.679214891.32721872.6077032e-08
0.679259371.32721842.6077032e-08
0.679303891.32721812.6077032e-08
0.679348381.32721792.6077032e-08
0.679392871.32721762.6077032e-08
0.679437371.32721732.6077032e-08
0.679481921.3272172.6077032e-08
0.679526431.32721672.6077032e-08
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0.679660041.32721582.6077032e-08
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0.679927381.32721412.6077032e-08
0.679971951.32721382.6077032e-08
0.680016521.32721352.6077032e-08
0.680061151.32721322.6077032e-08
0.680105741.32721292.6077032e-08
0.680150331.32721262.6077032e-08
0.680194931.32721232.6077032e-08
0.680239581.3272122.6077032e-08
0.680284191.32721172.6077032e-08
0.68032881.32721142.6077032e-08
0.680373421.32721112.6077032e-08
0.68041811.32721092.6077032e-08
0.680462731.32721062.6077032e-08
0.680507371.32721032.6077032e-08
0.680552011.327212.6077032e-08
0.680596671.32720972.6077032e-08
0.680641371.32720942.6077032e-08
0.680686031.32720912.6077032e-08
0.68073071.32720882.6077032e-08
0.680775371.32720852.6077032e-08
0.68082011.32720822.6077032e-08
0.680864791.32720792.6077032e-08
0.680909481.32720762.6077032e-08
0.680954171.32720732.6077032e-08
0.680998921.3272072.6077032e-08
0.681043631.32720672.6077032e-08
0.681088351.32720652.6077032e-08
0.681133071.32720622.6077032e-08
0.68117781.32720592.6077032e-08
0.681222581.32720562.6077032e-08
0.681267321.32720532.6077032e-08
0.681312061.3272052.6077032e-08
0.681356811.32720472.6077032e-08
0.681401611.32720442.6077032e-08
0.681446381.32720412.6077032e-08
0.681491141.32720382.6077032e-08
0.681535921.32720352.6077032e-08
0.681580741.32720322.6077032e-08
0.681625531.32720292.6077032e-08
0.681670321.32720262.6077032e-08
0.681715121.32720232.6077032e-08
0.681759971.3272022.6077032e-08
0.681804781.32720182.6077032e-08
0.681849591.32720152.6077032e-08
0.681894411.32720122.6077032e-08
0.681939241.32720092.6077032e-08
0.681984121.32720062.6077032e-08
0.682028961.32720032.6077032e-08
0.68207381.32722.6077032e-08
0.682118661.32719972.6077032e-08
0.682163561.32719942.6077032e-08
0.682208421.32719912.6077032e-08
0.682253291.32719882.6077032e-08
0.682298161.32719852.6077032e-08
0.682343091.32719822.6077032e-08
0.682387981.32719792.6077032e-08
0.682432871.32719762.6077032e-08
0.682477771.32719732.6077032e-08
0.682522671.3271972.6077032e-08
0.682567631.32719672.6077032e-08
0.682612541.32719642.6077032e-08
0.682657461.32719612.6077032e-08
0.682702391.32719582.6077032e-08
0.682747371.32719562.6077032e-08
0.682792311.32719532.6077032e-08
0.682837251.3271952.6077032e-08
0.682882211.32719472.6077032e-08
0.682927211.32719442.6077032e-08
0.682972171.32719412.6077032e-08
0.683017141.32719382.6077032e-08
0.683062121.32719352.6077032e-08
0.683107141.32719322.6077032e-08
0.683152131.32719292.6077032e-08
0.683197121.32719262.6077032e-08
0.683242121.32719232.6077032e-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
—