Optical constants

Refractive index of CdF2 (Cadmium fluoride)

Bosomworth 1967: n,k 54–1000 µm; 80 K

Data
formula 4 + tabulated k
Range
53–1000 µm
Temperature
80 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 53763-1e+06 nm only; k = 0 elsewhere in the n range 53000-1e+06 nm.

At one wavelength

Range 53–1000 µm
Refractive index n
2.82677
Extinction coefficient k
0.00975355
Permittivity ε1
7.99053
Permittivity ε2
0.0551421
Absorption coefficient α
5.32899 cm⁻¹
Penetration depth δ = λ/(2πk)
3.75306e+06 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.000336644 µm⁻¹
Group index ng
2.9042
Group velocity dispersion
98682.5 fs²/mm
Dispersion parameter D
-3.51386 ps/(nm·km)
Photon energy
0.00539062 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

# CdF2 (Cadmium fluoride): Bosomworth 1967: n,k 54–1000 µm; 80 K
cdf2 = ls.fetch_refractiveindex("main", "CdF2", "Bosomworth-80K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdf2.range_nm)  # (53000, 1e+06) nm
eps = cdf2.eps([230000])  # 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

RefractiveIndex.INFO (formula 4), λ in µm
n2=0.0+7.78λ2.0λ2−44.6432.0−4783.2λ0.0λ2−44.6432.0

Valid from 53.0 to 1000.0 µm.

Coefficients as stored
CiValue
C10.0
C27.78
C32.0
C444.643
C52.0
C6-4783.2
C70.0
C844.643
C92.0

Comments and conditions

80 K

Conditions

temperature
80 K
Notes on the source data (kept exactly as published):
  • k data cover 53763-1e+06 nm only; k = 0 elsewhere in the n range 53000-1e+06 nm

References

D. R. Bosomworth. Far-infrared optical properties of CaF2, SrF2, BaF2, and CdF2. Phys. Rev., 157, 709 (1967)
  • doi:10.1103/physrev.157.709 Far-Infrared Optical Properties of Ca<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Sr<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Ba<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, and Cd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Physical Review (1967)

Cite

D. R. Bosomworth. Far-Infrared Optical Properties of Ca<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Sr<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Ba<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, and Cd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>. Physical Review, 157, 709-715 (1967), doi:10.1103/physrev.157.709; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 576 wavelengths, the same grid as the API and the library
CdF2 (Cadmium fluoride), Bosomworth 1967: n,k 54–1000 µm; 80 K: n and k versus wavelength
λ (µm)nk
534.5738450
53.39164.5035210
53.7634.4415510.039
53.78624.4378280.03896818
54.0544.3958850.0386
54.18364.3763080.03846776
54.3484.3521090.0383
54.5844.3185670.0379822
54.6454.310110.0379
54.9454.2697840.0375
54.98734.2642590.03744434
55.2494.2309110.0371
55.39364.2130790.03691158
55.5564.1935380.0367
55.80294.1647590.03638138
55.8664.1575830.0363
56.184.1228620.0358
56.21534.1190630.0357555
56.4974.0894210.0354
56.63074.0757790.03519181
56.8184.0570950.0349
57.04914.0347190.03454444
57.1434.0258350.0344
57.47073.9957140.03380062
57.4713.9956840.0338
57.8033.9665010.0333
57.89533.9586120.03313562
58.143.9381620.0327
58.32313.9232760.03237683
58.483.9107990.0321
58.75413.8895830.03162193
58.8243.8842870.0315
59.1723.8585940.0309
59.18823.8574210.03086771
59.5243.8336850.0302
59.62563.8266880.03002877
59.883.809530.0296
60.06623.7972910.02929056
60.2413.7860350.029
60.513.7691450.02855777
60.6063.7632420.0284
60.95713.7421730.02783057
60.9763.7410650.0278
61.353.7195410.0271
61.40763.7163040.02699338
61.7283.6986460.0264
61.86133.6914720.02619167
62.1123.6782510.0258
62.31843.6676170.02553397
62.53.6584470.0253
62.77893.6446840.02487417
62.8933.6391640.0247
63.24283.622620.02426054
63.2913.6203850.0242
63.6943.6020970.0237
63.71013.601380.02368029
64.1033.5842410.0232
64.18093.5809180.0231057
64.5163.5668920.0227
64.65513.5611940.02256717
64.9353.549950.0223
65.13293.542170.02206664
65.3593.5334470.0218
65.61423.523810.02156263
65.7893.5173310.0214
66.0993.5060810.02104448
66.2253.5015950.0209
66.58743.4889530.02057201
66.6673.4862290.0205
67.07953.4723970.0201309
67.1143.471260.0201
67.5683.4566110.0198
67.57513.4563850.01979379
68.0273.4423380.0194
68.07453.4408920.01936945
68.4933.4283730.0191
68.57753.4258960.01904642
68.9663.414710.0188
69.08423.4113720.01872581
69.4443.4013990.0185
69.59473.3973020.01840698
69.933.388350.0182
70.10893.3836640.01809111
70.4233.3755870.0179
70.6273.370440.01781824
70.9223.363130.0177
71.14893.3576130.01756576
71.4293.3509230.0174
71.67463.3451660.01730425
71.9423.339010.0172
72.20423.3330830.01709953
72.4643.3273170.017
72.73783.3213510.01684475
72.9933.3158870.0167
73.27523.3099540.01659469
73.5293.3047140.0165
73.81673.298880.01639443
74.0743.2937540.0163
74.36213.2881160.01614369
74.6273.2830250.016
74.91163.277650.01589853
75.1883.2725230.0158
75.46523.2674710.01570275
75.7583.2622270.0156
76.02283.2575680.01550838
76.3363.2521540.0154
76.58453.2479310.01535766
76.9233.2422820.0153
77.15043.2385510.01522368
77.5193.232610.0151
77.72053.2294170.01503349
78.1253.2231210.0149
78.29483.2205220.01487239
78.743.2138280.0148
78.87333.2118570.01475733
79.3653.2047150.0146
79.45623.2034130.01457129
803.1957810.0144
80.04333.1951840.01439329
80.63473.1871620.01430159
80.6453.1870250.0143
81.23063.179340.01412147
81.3013.1784320.0141
81.83083.1717110.0139409
81.9673.1700140.0139
82.43553.164270.01383091
82.6453.1617460.0138
83.04463.1570090.01368384
83.3333.1536510.0136
83.65823.1499240.01350721
84.0343.1456940.0134
84.27643.1430080.01333191
84.7463.1378980.0132
84.89913.1362570.0131577
85.473.130250.013
85.52653.1296640.01298467
86.15853.1232260.01281317
86.2073.122740.0128
86.79513.1169380.01272159
86.9573.1153690.0127
87.43643.1107940.01257416
87.7193.1081460.0125
88.08253.1047910.01240643
88.4963.1010440.0123
88.73343.0989240.01226995
89.2863.094080.0122
89.38913.093190.01217436
90.04963.0875850.01201005
90.093.0872470.012
90.7153.0821040.01192369
90.9093.0805360.0119
91.38533.0767440.01184289
91.7433.0739490.0118
92.06063.0715030.01172528
92.5933.0674770.0116
92.74083.0663760.01161709
93.42613.061360.01169631
93.4583.061130.0117
94.11653.0564530.01155069
94.343.0548940.0115
94.81193.051650.01144745
95.2383.0487760.0114
95.51253.0469510.01137003
96.1543.0427640.0113
96.21833.042350.01129311
96.92923.0378470.01121691
97.0873.0368650.0112
97.64553.0334390.01114134
98.0393.0310690.0111
98.3673.0291220.01106622
99.013.0253760.011
99.09383.0248940.01099153
99.82613.0207540.01091757
1003.0197880.0109
100.5643.0166990.01084419
101.013.01430.0108
101.3073.0127270.0108
102.043.0089140.0108
102.0553.0088350.01079854
102.8093.0050220.01072672
103.093.003630.0107
103.5693.0012850.0107
104.172.9984020.0107
104.3342.9976230.01068491
105.1052.9940350.01061418
105.262.9933270.0106
105.8822.9905170.0106
106.382.9883120.0106
106.6642.9870690.01057526
107.4532.9836880.01050673
107.532.9833610.0105
108.2472.9803740.0105
108.72.9785210.0105
109.0462.9771240.0105
109.8522.9739370.0105
109.892.973790.0105
110.6642.9708120.0105
111.112.9691290.0105
111.4822.9677460.0105
112.3052.964740.0105
112.362.9645430.0105
113.1352.961790.0105
113.642.9600340.0105
113.9712.9588970.0105
114.8132.9560580.0105
114.942.9556380.0105
115.6622.9532730.01055387
116.282.9512890.0106
116.5162.950540.0106
117.3772.9478580.0106
117.652.9470240.0106
118.2452.9452270.0106
119.052.9428440.0106
119.1192.9426440.01060479
119.9992.9401080.01066634
120.482.938750.0107
120.8852.937620.0107
121.7792.9351770.0107
121.952.9347160.0107
122.6792.9327790.01074825
123.462.9307460.0108
123.5852.9304250.0108
124.4982.9281130.0108
1252.9268680.0108
125.4182.9258430.0108
126.3452.9236150.0108
126.582.9230580.0108
127.2782.9214260.0108
128.212.9192970.0108
128.2192.9192770.0108
129.1662.9171660.0108
129.872.9156330.0108
130.1212.9150930.01081467
131.0822.9130570.0108709
131.582.9120230.0109
132.0512.9110570.0109
133.0272.9090920.0109
133.332.9084910.0109
134.012.9071620.0109
1352.9052660.0109
135.142.9050010.0109
135.9972.9034030.0109
136.992.9015950.0109
137.0022.9015720.0109
138.0152.8997740.0109
138.892.8982550.0109
139.0352.8980070.0109
140.0622.896270.0109
140.852.8949670.0109
141.0972.8945640.0109
142.1392.8928870.0109
142.862.8917520.0109
143.192.8912390.0109
144.2482.8896190.0109
144.932.8885960.0109
145.3142.8880270.0109
146.3872.8864620.0109
147.062.8855020.0109
147.4692.8849240.01088132
148.5592.8834120.01083156
149.252.8824720.0108
149.6572.8819260.0108
150.7622.8804650.0108
151.522.8794850.0108
151.8762.8790290.0108
152.9992.8776170.0108
153.852.8765680.0108
154.1292.8762280.0108
155.2682.8748630.0108
156.252.8737130.0108
156.4152.8735210.01079333
157.5712.8722020.01074673
158.732.870910.0107
158.7362.8709040.0107
159.9082.8696280.0107
161.092.8683730.0107
161.292.8681640.0107
162.282.8671390.01066249
163.482.8659260.01061706
163.932.8654770.0106
164.6872.8647320.0106
165.9042.8635590.0106
166.672.8628340.0106
167.132.8624040.01058368
168.3652.8612690.01053988
169.492.8602580.0105
169.6092.8601520.0105
170.8632.8590540.0105
172.1252.8579730.0105
172.412.8577330.0105
173.3972.856910.0105
174.6782.8558650.0105
175.442.8552550.0105
175.9692.8548360.0105
177.2692.8538250.0105
178.572.8528360.0105
178.5792.8528290.01049972
179.8992.851850.01045911
181.2282.8508870.01041821
181.822.8504650.0104
182.5672.8499390.0104
183.9162.8490070.0104
185.192.8481460.0104
185.2752.8480890.0104
186.6442.8471860.0104
188.0232.8462980.0104
188.682.8458830.0104
189.4132.8454240.01037981
190.8122.8445640.01034125
192.2222.8437180.01030241
192.312.8436660.0103
193.6432.8428860.0103
195.0742.8420660.0103
196.082.8415010.0103
196.5152.841260.0102889
197.9672.8404660.01025186
199.432.8396860.01021454
2002.8393860.0102
200.9042.8389170.01017785
202.3882.8381610.01014147
203.8842.8374170.01010481
204.082.837320.0101
205.392.8366840.0101
206.9082.8359630.0101
208.332.8353030.0101
208.4372.8352540.0100976
209.9772.8345550.01006291
211.5292.8338680.01002796
212.772.8333290.01
213.0922.8331910.009997216
214.6662.8325250.009983583
216.2522.831870.00996985
217.392.8314090.00996
217.852.8312250.009952376
219.462.830590.009925714
221.0822.8299640.009898854
222.222.8295340.00988
222.7152.8293490.009872154
224.3612.8287430.009846083
226.0192.8281470.00981982
227.272.8277060.0098
227.6892.827560.009792872
229.3712.8269820.009764248
231.0662.8264130.009735413
232.562.8259220.00971
232.7742.8258530.009706529
234.4942.8253020.009678586
236.2262.8247590.009650437
237.9722.8242250.00962208
238.12.8241860.00962
239.732.8236980.00959189
241.5022.823180.009561348
243.2862.822670.00953058
243.92.8224980.00952
245.0842.8221680.009498649
246.8952.8216740.009465992
248.7192.8211870.009433093
2502.8208520.00941
250.5572.8207080.009400438
252.4092.8202360.009368666
254.2742.8197720.009336659
256.1532.8193140.009304416
256.412.8192530.0093
258.0452.8188640.009268503
259.9522.8184210.00923178
261.8732.8179840.009194786
263.162.8176970.00917
263.8082.8175540.009157239
265.7572.8171310.009118856
267.7212.8167140.009080189
269.6992.8163030.009041236
270.272.8161860.00903
271.6922.8158990.009001593
273.72.8155010.008961494
275.7222.8151090.008921099
277.762.8147230.008880406
277.782.8147190.00888
279.8122.8143430.008838999
281.882.8139680.008797282
283.9632.81360.008755257
285.712.8132970.00872
286.0612.8132370.008713326
288.1752.8128790.008673111
290.3042.8125270.0086326
292.4492.8121810.008591789
294.122.8119160.00856
294.612.8118390.008550099
296.7872.8115030.008506121
298.982.8111720.008461817
301.1892.8108460.008417186
303.032.8105790.00838
303.4152.8105240.008372279
305.6572.8102080.008327297
307.9152.8098970.008281982
310.1912.809590.008236333
312.4832.8092880.008190346
312.52.8092850.00819
314.7922.808990.008139982
317.1182.8086970.008089214
319.4612.8084080.008038072
321.8222.8081240.007986551
322.582.8080340.00797
324.22.8078440.007932334
326.5952.8075680.007876622
329.0092.8072960.007820499
331.442.8070290.007763962
333.332.8068250.00772
333.8892.8067650.007707368
336.3562.8065060.007651588
338.8412.806250.007595396
341.3452.8059980.007538789
343.8672.805750.007481764
344.832.8056570.00746
346.4082.8055060.007430511
348.9682.8052650.007382686
351.5472.8050280.007334507
354.1442.8047950.007285973
356.7612.8045650.007237079
357.142.8045320.00723
359.3972.8043380.00719417
362.0532.8041150.007152016
364.7282.8038950.007109552
367.4232.8036790.007066773
370.1382.8034660.007023678
370.372.8034480.00702
372.8732.8032550.006981352
375.6292.8030490.006938815
378.4042.8028450.006895964
381.22.8026440.006852795
384.0172.8024460.006809308
384.622.8024040.0068
386.8552.8022510.006768035
389.7132.802060.006727145
392.5932.8018710.006685953
395.4942.8016840.006644457
398.4162.8015010.006602654
4002.8014030.00658
401.362.801320.006562048
404.3262.8011420.006522908
407.3142.8009670.006483479
410.3232.8007940.006443759
413.3552.8006240.006403745
416.412.8004560.006363435
416.672.8004420.00636
419.4872.8002910.006324228
422.5862.8001290.006284861
425.7092.7999680.006245204
428.8552.799810.006205253
432.0242.7996550.006165008
434.782.7995220.00613
435.2162.7995020.006124709
438.4322.7993510.006085669
441.6712.7992020.006046341
444.9352.7990560.006006722
448.2232.7989110.00596681
451.5352.7987690.005926604
454.552.7986430.00589
454.8712.7986290.005886288
458.2322.7984910.005847458
461.6182.7983550.005808341
465.0292.7982220.005768935
468.4662.798090.005729237
471.9272.797960.005689246
475.4142.7978320.00564896
476.192.7978040.00564
478.9272.7977060.005611258
482.4662.7975810.005574101
486.0312.7974590.005536668
489.6232.7973380.005498959
493.2412.7972190.005460972
496.8852.7971020.005422704
5002.7970040.00539
500.5572.7969870.005384499
504.2562.7968740.005347961
507.9822.7967620.005311153
511.7352.7966510.005274074
515.5172.7965430.00523672
519.3262.7964360.005199091
523.1632.796330.005161183
526.322.7962450.00513
527.0292.7962260.005123452
530.9232.7961240.005087492
534.8472.7960230.005051267
538.7992.7959240.005014773
542.782.7958260.00497801
546.7912.795730.004940975
550.8312.7956350.004903667
554.9012.7955410.004866083
555.562.7955260.00486
559.0022.7954490.004833672
563.1322.7953580.004802074
567.2932.7952680.004770241
571.4852.795180.004738174
575.7082.7950930.004705869
579.9622.7950080.004673326
584.2472.7949230.004640543
588.242.7948460.00461
588.5652.794840.004607881
592.9142.7947580.004579487
597.2952.7946780.004550883
601.7082.7945980.004522067
606.1552.794520.004493039
610.6342.7944430.004463796
615.1462.7943670.004434337
619.6912.7942920.004404661
624.272.7942180.004374765
6252.7942060.00437
628.8832.7941450.004349499
633.532.7940740.004324965
638.2112.7940030.00430025
642.9272.7939340.004275352
647.6782.7938650.00425027
652.4642.7937980.004225003
657.2852.7937310.004199549
662.1422.7936660.004173907
666.672.7936060.00415
667.0352.7936010.004148239
671.9632.7935370.004124433
676.9292.7934750.004100452
681.9312.7934130.004076293
686.972.7933520.004051955
692.0462.7932920.004027437
697.1592.7932330.004002739
702.3112.7931750.003977858
707.52.7931180.003952793
712.7282.7930610.003927543
714.292.7930450.00392
717.9952.7930060.003903816
723.32.7929510.003880639
728.6452.7928970.003857292
734.0292.7928430.003833772
739.4532.7927910.003810078
744.9172.7927390.003786209
750.4212.7926880.003762164
755.9662.7926380.003737941
761.5522.7925890.003713539
767.182.792540.003688957
769.232.7925230.00368
772.8492.7924920.003665887
778.5592.7924450.003643614
784.3122.7923980.003621177
790.1082.7923520.003598574
795.9462.7923070.003575804
801.8272.7922620.003552865
807.7522.7922180.003529757
813.7212.7921750.003506478
819.7342.7921330.003483028
825.7912.7920910.003459404
831.8932.7920490.003435605
833.332.792040.00343
838.042.7920080.003414458
844.2322.7919680.003394023
850.4712.7919290.003373438
856.7552.791890.0033527
863.0862.7918510.003331809
869.4632.7918130.003310764
875.8882.7917760.003289563
882.362.7917390.003268206
888.882.7917030.003246691
895.4482.7916670.003225017
902.0652.7916320.003203182
908.732.7915970.003181187
909.092.7915950.00318
915.4452.7915630.003162523
922.212.791530.003143921
929.0242.7914960.003125182
935.8892.7914640.003106304
942.8042.7914320.003087287
949.7712.79140.003068129
956.7892.7913690.003048829
963.8592.7913380.003029387
970.9812.7913070.003009801
978.1562.7912770.002990071
985.3842.7912480.002970194
992.6652.7912190.002950171
10002.791190.00293

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
—