Optical constants

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

Rowe et al. 2020: Water; n,k 0.667–10400 µm; 0 °C

Data
tabulated nk
Range
0.6667–1.04e+04 µm
Points
15556
Temperature
273.15 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
1.93025
Extinction coefficient k
0.458273
Permittivity ε1
3.51586
Permittivity ε2
1.76916
Absorption coefficient α
691.335 cm⁻¹
Penetration depth δ = λ/(2πk)
28929.5 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.00453315 µm⁻¹
Group index ng
1.55264
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; 0 °C
h2o_d2o = ls.fetch_refractiveindex("main", "H2O", "Rowe-273K", 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 0 °C

Conditions

temperature
273.15 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; 0 °C: n and k versus wavelength
λ (µm)nk
0.666683731.32636382.4214387e-08
0.666726581.32636382.4214387e-08
0.666769481.32636372.4214387e-08
0.666812341.32636342.4214387e-08
0.666855211.32636322.4214387e-08
0.666898081.32636292.4214387e-08
0.6669411.32636262.4214387e-08
0.666983881.32636242.4214387e-08
0.667026771.32636212.4214387e-08
0.667069671.32636192.4214387e-08
0.667112561.32636162.4214387e-08
0.667155511.32636132.4214387e-08
0.667198421.32636112.4214387e-08
0.667241341.32636082.4214387e-08
0.667284261.32636052.4214387e-08
0.667327231.32636032.4214387e-08
0.667370161.326362.4214387e-08
0.66741311.32635972.4214387e-08
0.667456041.32635952.4214387e-08
0.667499041.32635922.4214387e-08
0.667541991.32635892.4214387e-08
0.667584951.32635872.4214387e-08
0.667627921.32635842.4214387e-08
0.667670931.32635812.4214387e-08
0.667713911.32635792.4214387e-08
0.667756891.32635762.4214387e-08
0.667799881.32635732.4214387e-08
0.667842871.32635712.4214387e-08
0.667885911.32635682.4214387e-08
0.667928921.32635652.4214387e-08
0.667971931.32635632.4214387e-08
0.668014941.3263562.4214387e-08
0.668058011.32635572.4214387e-08
0.668101041.32635552.4214387e-08
0.668144071.32635522.4214387e-08
0.66818711.32635492.4214387e-08
0.668230191.32635472.4214387e-08
0.668273241.32635442.4214387e-08
0.668316291.32635412.4214387e-08
0.668359351.32635392.4214387e-08
0.668402461.32635362.4214387e-08
0.668445531.32635332.4214387e-08
0.668488611.32635312.4214387e-08
0.668531691.32635282.4214387e-08
0.668574781.32635252.4214387e-08
0.668617921.32635232.4214387e-08
0.668661021.3263522.4214387e-08
0.668704121.32635172.4214387e-08
0.668747231.32635152.4214387e-08
0.668790391.32635122.4214387e-08
0.668833511.32635092.4214387e-08
0.668876641.32635072.4214387e-08
0.668919771.32635042.4214387e-08
0.668962951.32635012.4214387e-08
0.669006091.32634992.4214387e-08
0.669049241.32634962.4214387e-08
0.669092391.32634932.4214387e-08
0.669135551.32634912.4214387e-08
0.669178761.32634882.4214387e-08
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0.669265111.32634832.4214387e-08
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0.669481121.32634692.4214387e-08
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0.66991361.32634422.4214387e-08
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0.670000141.32634372.4214387e-08
0.670043421.32634342.4214387e-08
0.670086741.32634312.4214387e-08
0.670130031.32634292.4214387e-08
0.670173331.32634262.4214387e-08
0.670216631.32634232.4214387e-08
0.670259981.32634212.4214387e-08
0.670303291.32634182.4214387e-08
0.67034661.32634152.4214387e-08
0.670389921.32634132.4214387e-08
0.670433251.3263412.4214387e-08
0.670476631.32634072.4214387e-08
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0.670606661.32633992.4214387e-08
0.670650061.32633962.4214387e-08
0.670693421.32633942.4214387e-08
0.670736791.32633912.4214387e-08
0.670780161.32633882.4214387e-08
0.670823581.32633862.4214387e-08
0.670866961.32633832.4214387e-08
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0.670953751.32633782.4214387e-08
0.670997191.32633752.4214387e-08
0.67104061.32633722.4214387e-08
0.671084011.32633692.4214387e-08
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0.671170851.32633642.4214387e-08
0.671214321.32633612.4214387e-08
0.671257761.32633592.4214387e-08
0.67130121.32633562.4214387e-08
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0.671388141.3263352.4214387e-08
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0.671518521.32633422.4214387e-08
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0.67252011.3263282.4214387e-08
0.672563711.32632772.4214387e-08
0.672607311.32632742.4214387e-08
0.672650931.32632722.4214387e-08
0.672694591.32632692.4214387e-08
0.672738221.32632662.4214387e-08
0.672781851.32632632.4214387e-08
0.672825491.32632612.4214387e-08
0.672869171.32632582.4214387e-08
0.672912821.32632552.4214387e-08
0.672956481.32632532.4214387e-08
0.673000141.3263252.4214387e-08
0.67304381.32632472.4214387e-08
0.673087521.32632442.4214387e-08
0.673131191.32632422.4214387e-08
0.673174881.32632392.4214387e-08
0.673218561.32632362.4214387e-08
0.67326231.32632332.4214387e-08
0.6733061.32632312.4214387e-08
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0.673437181.32632222.4214387e-08
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0.673524631.32632172.4214387e-08
0.673568361.32632142.4214387e-08
0.673612151.32632122.4214387e-08
0.673655891.32632092.4214387e-08
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0.67374341.32632032.4214387e-08
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0.673830971.32631982.4214387e-08
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0.675102981.32631182.6077032e-08
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0.675190911.32631132.6077032e-08
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0.675278811.32631072.6077032e-08
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0.675410761.32630992.6077032e-08
0.675454741.32630962.6077032e-08
0.675498771.32630932.6077032e-08
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0.675850891.32630712.6077032e-08
0.675894981.32630682.6077032e-08
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0.675983071.32630632.6077032e-08
0.676027121.3263062.6077032e-08
0.676071221.32630572.6077032e-08
0.676115291.32630552.6077032e-08
0.676159361.32630522.6077032e-08
0.676203431.32630492.6077032e-08
0.676247561.32630462.6077032e-08
0.676291651.32630432.6077032e-08
0.676335741.32630412.6077032e-08
0.676379841.32630382.6077032e-08
0.676423951.32630352.6077032e-08
0.67646811.32630322.6077032e-08
0.676512221.3263032.6077032e-08
0.676556341.32630272.6077032e-08
0.676600471.32630242.6077032e-08
0.676644651.32630212.6077032e-08
0.676688791.32630182.6077032e-08
0.676732931.32630162.6077032e-08
0.676777081.32630132.6077032e-08
0.676821291.3263012.6077032e-08
0.676865451.32630072.6077032e-08
0.676909621.32630052.6077032e-08
0.676953791.32630022.6077032e-08
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0.67704221.32629962.6077032e-08
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0.677130591.32629912.6077032e-08
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0.677883011.32629432.6077032e-08
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0.678015981.32629352.6077032e-08
0.678060291.32629322.6077032e-08
0.678104621.32629292.6077032e-08
0.6781491.32629272.6077032e-08
0.678193331.32629242.6077032e-08
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0.678282021.32629182.6077032e-08
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0.678503891.32629042.6077032e-08
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0.678592711.32628992.6077032e-08
0.67863711.32628962.6077032e-08
0.67868151.32628932.6077032e-08
0.678725951.3262892.6077032e-08
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0.678814781.32628842.6077032e-08
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0.6790371.3262872.6077032e-08
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0.679170421.32628622.6077032e-08
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0.681133071.32627382.6077032e-08
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0.681312061.32627262.6077032e-08
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0.681401611.32627212.6077032e-08
0.681446381.32627182.6077032e-08
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0.681535921.32627122.6077032e-08
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0.681625531.32627072.6077032e-08
0.681670321.32627042.6077032e-08
0.681715121.32627012.6077032e-08
0.681759971.32626982.6077032e-08
0.681804781.32626952.6077032e-08
0.681849591.32626922.6077032e-08
0.681894411.32626892.6077032e-08
0.681939241.32626872.6077032e-08
0.681984121.32626842.6077032e-08
0.682028961.32626812.6077032e-08
0.68207381.32626782.6077032e-08
0.682118661.32626752.6077032e-08
0.682163561.32626722.6077032e-08
0.682208421.3262672.6077032e-08
0.682253291.32626672.6077032e-08
0.682298161.32626642.6077032e-08
0.682343091.32626612.6077032e-08
0.682387981.32626582.6077032e-08
0.682432871.32626552.6077032e-08
0.682477771.32626522.6077032e-08
0.682522671.3262652.6077032e-08
0.682567631.32626472.6077032e-08
0.682612541.32626442.6077032e-08
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0.682702391.32626382.6077032e-08
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0.683017141.32626182.6077032e-08
0.683062121.32626152.6077032e-08
0.683107141.32626122.6077032e-08
0.683152131.3262612.6077032e-08
0.683197121.32626072.6077032e-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
—