Optical constants

Refractive index of C2H4(OH)2 (Ethylene glycol)

Sani and Dell'Oro 2014: Dispersion formula; n,k 0.185–2.8 µm

Data
formula 2 + tabulated k
Range
0.185–2.8 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 185.2-2799 nm only; k = 0 elsewhere in the n range 185-2800 nm.

At one wavelength

Range 0.185–2.8 µm
Refractive index n
1.43158
Extinction coefficient k
5.29018e-08
Permittivity ε1
2.04943
Permittivity ε2
1.51467e-07
Absorption coefficient α
0.0113135 cm⁻¹
Penetration depth δ = λ/(2πk)
1.76779e+09 nm
Abbe number Vd
56.651
Chromatic dispersion dn/dλ
-0.039184 µm⁻¹
Group index ng
1.45461
Group velocity dispersion
72.1394 fs²/mm
Dispersion parameter D
-393.559 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

# C2H4(OH)2 (Ethylene glycol): Sani and Dell'Oro 2014: Dispersion formula; n,k 0.185–2.8 µm
c2h4 = ls.fetch_refractiveindex("organic", "ethylene_glycol", "Sani-formula", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h4.range_nm)  # (185, 2800) nm
eps = c2h4.eps([633])  # 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.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.01778λ2λ2−9.02+1.01887λ2λ2−0.01028

Valid from 0.185 to 2.8 µm.

Coefficients as stored
CiValue
C10.0
C20.01778
C39.02
C41.01887
C50.01028

Comments and conditions

Room temperature

Notes on the source data (kept exactly as published):
  • k data cover 185.2-2799 nm only; k = 0 elsewhere in the n range 185-2800 nm

References

1) E. Sani and A. Dell'Oro. Optical constants of ethylene glycol over an extremely wide spectral range. Opt. Mater. 37, 36-41 (2014)
2) E. Sani and A. Dell'Oro. Corrigendum to "Optical constants of ethylene glycol over an extremely wide spectral range". Opt. Mater. 48, 281 (2015)

Cite

Elisa Sani and Aldo Dell’Oro. Optical constants of ethylene glycol over an extremely wide spectral range. Optical Materials, 37, 36-41 (2014), doi:10.1016/j.optmat.2014.04.035; Elisa Sani and Aldo Dell’Oro. Corrigendum to “Optical constants of ethylene glycol over an extremely wide spectral range” [Opt. Mater. 37 (2014) 36–41]. Optical Materials, 48, 281 (2015), doi:10.1016/j.optmat.2015.06.039; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 1015 wavelengths, the same grid as the API and the library
C2H4(OH)2 (Ethylene glycol), Sani and Dell'Oro 2014: Dispersion formula; n,k 0.185–2.8 µm: n and k versus wavelength
λ (µm)nk
0.1851.5672330
0.18521.5668030.0004897
0.18571.5657360.0004838
0.1862641.5645480.0004782533
0.18631.5644730.0004779
0.18681.5634340.0004721
0.18741.5622030.0004662
0.1875371.5619250.0004618505
0.18791.5611910.0004503
0.18851.5599920.0004313
0.1888181.5593620.0004192092
0.1891.5590050.0004123
0.18961.5578360.0003932
0.1901081.5568580.0003768485
0.19021.5566830.0003739
0.19071.5557340.0003538
0.19131.5546090.0003336
0.1914071.554410.0003300051
0.19191.55350.0003135
0.19251.5524060.0002934
0.1927151.5520170.0002868017
0.19311.5513260.000275
0.19361.5504370.0002567
0.1940321.5496770.0002435256
0.19421.5493830.0002384
0.19481.5483430.0002201
0.1953581.5473890.0002047624
0.19541.5473170.0002036
0.1961.5463040.0001877
0.19661.5453040.0001719
0.1966931.5451510.0001694468
0.19721.5443170.000156
0.19791.5431820.0001417
0.1980371.5429620.0001386735
0.19851.5422220.0001284
0.19911.5412740.0001151
0.199391.540820.0001086787
0.19971.5403380.0001018
0.20041.5392618.936000e-05
0.2007521.5387258.480066e-05
0.2011.538358.159000e-05
0.20161.537457.382000e-05
0.2021241.5366746.800612e-05
0.20231.5364156.605000e-05
0.20291.5355395.828000e-05
0.2035051.5346675.156620e-05
0.20361.534535.051000e-05
0.20421.5336774.303000e-05
0.2048951.5327023.806317e-05
0.20491.5326953.803000e-05
0.20551.5318643.409000e-05
0.20621.5309073.015000e-05
0.2062951.5307782.961322e-05
0.20691.5299632.621000e-05
0.20751.5291652.226000e-05
0.2077051.5288942.110646e-05
0.20821.5282451.832000e-05
0.20891.5273371.537000e-05
0.2091241.5270491.480322e-05
0.20961.5264421.360000e-05
0.21031.5255591.206000e-05
0.2105531.5252431.150327e-05
0.2111.5246871.052000e-05
0.21171.5238288.979000e-06
0.2119921.5234738.337202e-06
0.21241.5229797.439000e-06
0.21311.5221426.098000e-06
0.213441.5217395.828250e-06
0.21381.5213155.543000e-06
0.21461.5203845.082000e-06
0.2148991.520044.885336e-06
0.21531.519584.621000e-06
0.2161.5187874.160000e-06
0.2163671.5183753.918316e-06
0.21671.5180043.699000e-06
0.21751.5171213.330000e-06
0.2178451.5167443.244149e-06
0.21821.5163593.156000e-06
0.2191.51553.032000e-06
0.2193341.5151452.972380e-06
0.21971.5147582.907000e-06
0.22051.5139222.783000e-06
0.2208331.5135772.731872e-06
0.22131.5130972.660000e-06
0.2221.5123852.565000e-06
0.2223411.5120412.546220e-06
0.22281.5115822.521000e-06
0.22361.510792.477000e-06
0.2238611.5105342.462338e-06
0.22441.5100092.432000e-06
0.22521.5092392.388000e-06
0.225391.5090572.377298e-06
0.2261.5084792.343000e-06
0.22681.507732.291000e-06
0.226931.5076092.282204e-06
0.22761.506992.237000e-06
0.22841.5062612.183000e-06
0.2284811.5061882.177440e-06
0.22921.5055422.128000e-06
0.2300421.5047942.076542e-06
0.23011.5047432.073000e-06
0.23091.5040442.009000e-06
0.2316141.5034281.951890e-06
0.23181.5032681.937000e-06
0.23261.5025881.864000e-06
0.2331961.5020871.815621e-06
0.23351.5018331.791000e-06
0.23431.5011721.718000e-06
0.234791.5007711.683167e-06
0.23521.5004381.654000e-06
0.23611.4997141.596000e-06
0.2363941.499481.575412e-06
0.23691.499081.540000e-06
0.23781.4983761.483000e-06
0.2380091.4982131.469741e-06
0.23871.4976821.426000e-06
0.23961.4969971.379000e-06
0.2396361.496971.377456e-06
0.24051.4963221.340000e-06
0.2412731.495751.306503e-06
0.24141.4956571.301000e-06
0.24241.4949281.262000e-06
0.2429221.4945531.240557e-06
0.24331.4942821.225000e-06
0.24421.4936451.193000e-06
0.2445811.4933771.182320e-06
0.24521.4929471.165000e-06
0.24611.4923271.137000e-06
0.2462531.4922231.132880e-06
0.24711.4916491.110000e-06
0.2479351.491091.086800e-06
0.2481.4910471.085000e-06
0.2491.4903881.068000e-06
0.2496291.4899781.057931e-06
0.251.4897381.052000e-06
0.2511.4890981.037000e-06
0.2513351.4888861.031641e-06
0.2521.4884671.021000e-06
0.2531.4878451.006000e-06
0.2530521.4878131.005190e-06
0.2541.4872339.905000e-07
0.2547811.486769.787800e-07
0.2551.4866289.755000e-07
0.2561.4860339.605000e-07
0.2565221.4857259.528758e-07
0.2571.4854469.459000e-07
0.25811.4848099.316000e-07
0.2582751.4847099.290804e-07
0.25911.4842399.172000e-07
0.260041.4837119.049837e-07
0.26021.4836219.029000e-07
0.26131.4830138.900000e-07
0.2618171.482738.847409e-07
0.26241.4824148.788000e-07
0.26341.4818778.678000e-07
0.2636051.4817678.658201e-07
0.26451.4812948.572000e-07
0.2654071.4808218.530790e-07
0.26561.4807218.522000e-07
0.26681.4801048.582000e-07
0.267221.4798918.604915e-07
0.26791.4795488.642000e-07
0.2691.4798.701000e-07
0.2690461.4789778.699736e-07
0.27021.4784118.668000e-07
0.2708841.4780798.596459e-07
0.27131.4778798.553000e-07
0.27251.4773088.436000e-07
0.2727351.4771978.410983e-07
0.27361.4767928.319000e-07
0.2745991.476338.272392e-07
0.27481.4762388.263000e-07
0.2761.4756928.225000e-07
0.2764751.4754788.210353e-07
0.27721.4751548.188000e-07
0.2783641.474648.133674e-07
0.27841.4746248.132000e-07
0.27971.474067.984000e-07
0.2802661.4738177.912760e-07
0.28091.4735477.833000e-07
0.28211.4730417.681000e-07
0.2821811.4730077.670763e-07
0.28341.4725027.517000e-07
0.2841091.4722127.422071e-07
0.28471.4719727.343000e-07
0.28591.4714897.170000e-07
0.2860511.4714297.149393e-07
0.28721.4709756.992000e-07
0.2880051.470666.876819e-07
0.28851.4704686.806000e-07
0.28991.4699326.619000e-07
0.2899731.4699046.608792e-07
0.29121.4694426.437000e-07
0.2919541.4691616.416693e-07
0.29251.4689596.402000e-07
0.29391.4684476.387000e-07
0.2939491.468436.386660e-07
0.29521.467986.378000e-07
0.2959581.4677116.388282e-07
0.29661.4674846.397000e-07
0.297981.4670046.439381e-07
0.2981.4669976.440000e-07
0.29941.4665176.483000e-07
0.3000161.4663086.399418e-07
0.30081.4660456.293000e-07
0.3020661.4656245.990047e-07
0.30231.4655475.934000e-07
0.30371.465095.576000e-07
0.304131.4649525.419560e-07
0.30521.4646095.030000e-07
0.3062081.464294.547677e-07
0.30661.4641674.360000e-07
0.30811.4637013.686000e-07
0.30831.4636393.608628e-07
0.30961.4632423.106000e-07
0.3104071.4629992.832275e-07
0.31111.4627922.597000e-07
0.3125281.4623692.185671e-07
0.31271.4623192.136000e-07
0.31421.4618831.882000e-07
0.3146631.461751.852191e-07
0.31581.4614261.779000e-07
0.3168131.461141.714163e-07
0.31731.4610041.683000e-07
0.31891.4605621.609000e-07
0.3189781.460541.605888e-07
0.32051.4601271.545000e-07
0.3211571.459951.519867e-07
0.32221.4596731.480000e-07
0.3233521.459371.433211e-07
0.32381.4592531.415000e-07
0.32551.4588141.350000e-07
0.3255611.4587991.347746e-07
0.32711.4584081.291000e-07
0.3277861.4582361.268415e-07
0.32881.4579841.235000e-07
0.3300251.4576831.196078e-07
0.33051.4575681.181000e-07
0.332281.4571391.134514e-07
0.33231.4571341.134000e-07
0.3341.4567321.089000e-07
0.3345511.4566031.077374e-07
0.33581.4563131.051000e-07
0.3368371.4560761.032571e-07
0.33761.4559021.019000e-07
0.3391381.4555579.297852e-08
0.33941.4554989.146000e-08
0.34121.4551026.686000e-08
0.3414551.4550466.277985e-08
0.3431.4547123.811000e-08
0.3437891.4545433.527121e-08
0.34491.4543083.127000e-08
0.3461381.4540483.123743e-08
0.34681.4539113.122000e-08
0.3485031.4535613.137235e-08
0.34871.4535213.139000e-08
0.35061.4531383.156000e-08
0.3508841.4530823.158690e-08
0.35251.4527623.174000e-08
0.3532811.4526093.181033e-08
0.35451.4523743.192000e-08
0.3556951.4521453.202758e-08
0.35651.4519923.210000e-08
0.3581261.4516873.224632e-08
0.35851.4516183.228000e-08
0.36051.451253.246000e-08
0.3605731.4512373.246624e-08
0.36261.4508713.264000e-08
0.3630361.4507933.267949e-08
0.36471.4504993.283000e-08
0.3655171.4503573.290392e-08
0.36681.4501353.302000e-08
0.3680151.4499273.312989e-08
0.36891.4497763.321000e-08
0.3705291.4495033.336516e-08
0.3711.4494253.341000e-08
0.3730611.4490863.358799e-08
0.37321.4490643.360000e-08
0.37541.4487093.380000e-08
0.375611.4486763.381909e-08
0.37761.4483623.400000e-08
0.3781761.4482723.405012e-08
0.37991.4480053.420000e-08
0.380761.4478743.427856e-08
0.38221.4476563.441000e-08
0.3833621.4474823.451610e-08
0.38451.4473133.462000e-08
0.3859821.4470963.475527e-08
0.38681.4469773.483000e-08
0.3886191.4467153.498915e-08
0.38921.4466333.504000e-08
0.3912741.4463413.523014e-08
0.39161.4462963.526000e-08
0.3939481.4459723.547521e-08
0.3941.4459653.548000e-08
0.39651.4456283.570000e-08
0.3966391.4456093.571228e-08
0.3991.4452973.592000e-08
0.399351.4452513.595217e-08
0.40151.4449733.615000e-08
0.4020781.4448993.620321e-08
0.4041.4446553.638000e-08
0.4048261.4445523.645304e-08
0.40661.4443313.661000e-08
0.4075921.444213.670155e-08
0.40921.4440143.685000e-08
0.4103771.4438733.695024e-08
0.41191.4436923.708000e-08
0.4131811.4435413.719859e-08
0.41461.4433763.733000e-08
0.4160041.4432143.745480e-08
0.41731.4430663.757000e-08
0.4188461.4428923.770807e-08
0.42011.4427523.782000e-08
0.4217081.4425753.796892e-08
0.42281.4424563.807000e-08
0.424591.4422623.822429e-08
0.42571.4421443.832000e-08
0.4274911.4419543.848630e-08
0.42851.4418493.858000e-08
0.4304121.4416513.875207e-08
0.43151.441543.885000e-08
0.4333531.4413523.901611e-08
0.43441.4412473.911000e-08
0.4363141.4410573.928224e-08
0.43741.4409513.938000e-08
0.4392951.4407673.955056e-08
0.44041.4406613.965000e-08
0.4422971.4404813.982131e-08
0.44351.4403683.993000e-08
0.4453191.4401994.009428e-08
0.44661.4400824.021000e-08
0.4483621.4399224.036414e-08
0.44981.4397934.049000e-08
0.4514251.4396484.063728e-08
0.4531.439514.078000e-08
0.454511.4393794.091681e-08
0.45621.4392334.107000e-08
0.4576151.4391134.119866e-08
0.45951.4389544.137000e-08
0.4607421.4388514.147959e-08
0.46291.4386734.167000e-08
0.463891.4385934.176028e-08
0.46631.4383994.198000e-08
0.467061.4383394.204928e-08
0.46971.4381314.229000e-08
0.4702511.4380884.233882e-08
0.47321.4378614.260000e-08
0.4734641.4378414.262417e-08
0.4766991.4375974.291995e-08
0.47671.4375974.292000e-08
0.4799571.4373574.321853e-08
0.48031.4373324.325000e-08
0.4832361.4371214.351187e-08
0.4841.4370664.358000e-08
0.4865381.4368884.380636e-08
0.48771.4368074.391000e-08
0.4898621.4366584.410348e-08
0.49151.4365464.425000e-08
0.493211.4364314.440296e-08
0.49531.4362924.459000e-08
0.496581.4362084.470483e-08
0.49921.4360374.494000e-08
0.4999731.4359884.501131e-08
0.50311.4357894.530000e-08
0.5033891.4357714.532536e-08
0.5068281.4355574.562737e-08
0.50721.4355344.566000e-08
0.5102911.4353464.594595e-08
0.51121.4352914.603000e-08
0.5137781.4351384.625712e-08
0.51541.4350434.640000e-08
0.5172891.4349334.657088e-08
0.51961.43484.678000e-08
0.5208231.4347314.689094e-08
0.52391.4345584.717000e-08
0.5243821.4345324.721371e-08
0.5279651.4343354.753868e-08
0.52821.4343224.756000e-08
0.5315721.4341414.786658e-08
0.53261.4340874.796000e-08
0.5352051.433954.819151e-08
0.53711.4338524.836000e-08
0.5388611.4337624.851700e-08
0.54171.4336184.877000e-08
0.5425431.4335764.884537e-08
0.546251.4333934.917664e-08
0.54641.4333864.919000e-08
0.5499831.4332134.951780e-08
0.55111.4331594.962000e-08
0.5537411.4330344.985657e-08
0.55591.4329345.005000e-08
0.5575241.4328595.019587e-08
0.56081.432715.049000e-08
0.5613341.4326865.053805e-08
0.5651691.4325155.088324e-08
0.56581.4324875.094000e-08
0.5690311.4323465.123143e-08
0.57091.4322665.140000e-08
0.5729191.432185.158250e-08
0.57611.4320475.187000e-08
0.5768341.4320165.193633e-08
0.5807751.4318555.229257e-08
0.58131.4318335.234000e-08
0.5847441.4316955.264609e-08
0.58671.4316185.282000e-08
0.5887391.4315385.300536e-08
0.59221.4314045.332000e-08
0.5927621.4313835.337106e-08
0.5968121.431235.373927e-08
0.59771.4311975.382000e-08
0.600891.4310795.410541e-08
0.60341.4309885.433000e-08
0.6049961.430935.447305e-08
0.6091291.4307835.484367e-08
0.60921.4307815.485000e-08
0.6132911.4306385.521754e-08
0.61511.4305765.538000e-08
0.6174821.4304955.559438e-08
0.62111.4303745.592000e-08
0.6217011.4303545.597420e-08
0.6259491.4302155.635721e-08
0.62721.4301755.647000e-08
0.6302261.4300785.673899e-08
0.63351.4299745.703000e-08
0.6345321.4299425.712504e-08
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2.4291.4096190.0005855
2.4361.4094140.0006088
2.4431.4092040.0006448
2.443491.4091890.0006479707
2.4511.4089580.0006964
2.4581.4087360.0007694
2.460191.4086660.0008004312
2.4651.4085090.0008687
2.4731.4082420.0009943
2.4771.4081050.001060373
2.481.4080010.00111
2.4871.4077550.0012
2.493921.4075040.001234612
2.4951.4074640.00124
2.5031.4071640.00122
2.511.4068940.00118
2.510961.4068560.001175186
2.5181.4065760.00114
2.5251.4062890.00108
2.528121.4061580.001048802
2.5331.405950.001
2.5411.4055990.0009342
2.545391.4054010.0009055296
2.5491.4052360.000882
2.5571.404860.0008219
2.562791.404580.0007637495
2.5651.4044710.0007415
2.5731.4040660.0006537
2.58031.4036840.0006003396
2.5811.4036470.0005952
2.5891.4032110.0005706
2.5971.4027580.000569
2.597931.4027040.0005713775
2.6051.4022860.0005895
2.6131.4017950.0006281
2.615681.4016260.000641733
2.6221.4012180.0006739
2.631.4006820.0007097
2.633551.4004360.0007194663
2.6381.4001220.0007317
2.6471.3994620.0007452
2.651551.3991150.0007548033
2.6551.3988460.0007621
2.6641.3981180.0007882
2.669661.397640.0008186411
2.6721.3974380.0008312
2.6811.3966310.000896
2.68791.3959820.0009338227
2.691.3957790.0009453
2.6991.3948750.000987
2.706271.3941040.001035168
2.7071.3940250.00104
2.7161.3930110.00102
2.724761.3919610.001166036
2.7251.3919320.00117
2.7341.3907790.00142
2.7431.3895460.00183
2.743381.3894920.001855749
2.7521.3882230.00244
2.7621.3866360.00311
2.762121.3866150.00312471
2.7711.3850890.00417
2.781.3834160.00548
2.7811.3832220.005649655
2.791.3813880.00718
2.7991.3793910.00924
2.81.3791580

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
—