Tables of the Refractive Index for Standard Air and the Rayleigh Scattering Coefficient for the Spectral Region between 0.2 and 20.0 μ and Their Application to Atmospheric Optics
Rudolf Penndorf, "Tables of the Refractive Index for Standard Air and the Rayleigh Scattering Coefficient for the Spectral Region between 0.2 and 20.0 μ and Their Application to Atmospheric Optics," J. Opt. Soc. Am. 47, 176-182 (1957)
The refractive index of standard air has been tabulated for the range 0.2 to 20.0 μ, namely, 0.2(0.01)0.8; 0.8(0.1)2.0; 2.0(0.5)10.0; 10(1)20 μ. The values are based on Edlen’s formula. For computations of Rayleigh scattering, the scattering cross sections, the mass and volume scattering coefficients have been tabulated for the same values of wavelength as for the refractive index. The optical thickness and the transmissivity of the standard atmosphere is given next, and finally, the mean scattering coefficient for visual observations which is βv=1.23×10−7 (cm−1).
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F. T. Gucker and S. Basu, Sci. Rept. No. 1, AF19 (122)-400 (University of Indiana, 1953).
Table III
Rayleigh scattering cross section σ and Rayleigh scattering coefficients κ and β for t0=0°C and p=1013.25 mb.
Wavelength in μ
σ (cm2)
β×108 (cm−1)
0.20
3.551
10−25
7.382
10−3
954.2
0.21
2.802
5.826
753.1
0.22
2.244
4.666
603.1
0.23
1.836
3.818
493.4
0.24
1.511
3.142
406.1
0.25
1.258
2.616
338.2
0.26
1.057
2.199
284.2
0.27
8.959
10−26
1.863
240.8
0.28
7.645
1.590
205.5
0.29
6.568
1.367
176.5
0.30
5.676
1.180
152.5
0.31
4.933
1.026
132.6
0.32
4.309
8.959
10−4
115.8
0.33
3.782
7.863
101.6
0.34
3.334
6.931
89.59
0.35
2.951
6.135
79.29
0.36
2.622
5.450
70.45
0.37
2.337
4.860
62.82
0.38
2.091
4.348
56.20
0.39
1.877
3.902
50.43
0.40
1.689
3.512
45.40
0.41
1.525
3.170
40.98
0.42
1.380
2.869
37.08
0.43
1.252
2.603
33.65
0.44
1.139
2.368
30.60
0.45
1.038
2.158
27.89
0.46
9.482
10−27
1.972
25.48
0.47
8.680
1.805
23.33
0.48
7.961
1.655
21.40
0.49
7.316
1.521
19.66
0.50
6.735
1.400
18.10
0.51
6.211
1.291
16.69
0.52
5.736
1.193
15.42
0.53
5.307
1.103
14.26
0.54
4.917
1.022
13.21
0.55
4.563
10−27
9.486
10−5
12.26
0.56
4.239
8.814
11.39
0.57
3.945
8.201
10.60
0.58
3.675
7.614
9.876
0.59
3.428
7.127
9.212
0.60
3.202
6.657
8.604
0.61
2.994
6.224
8.045
0.62
2.802
5.826
7.531
0.63
2.626
5.460
7.057
0.64
2.464
5.122
6.620
0.65
2.313
4.810
6.217
0.66
2.175
4.521
5.844
0.67
2.046
4.254
5.498
0.68
1.927
4.006
5.178
0.69
1.816
3.776
4.881
0.70
1.713
3.562
4.605
0.71
1.618
3.364
4.348
0.72
1.529
3.179
4.109
0.73
1.446
3.006
3.886
0.74
1.369
2.845
3.678
0.75
1.296
2.695
3.484
0.76
1.229
2.555
3.302
0.77
1.166
2.423
3.132
0.78
1.106
2.300
2.973
0.79
1.051
2.185
2.824
0.80
9.989
10−28
2.077
2.684
0.90
6.212
1.292
1.670
1.00
4.065
8.452
10−6
1.092
1.10
2.771
5.761
0.7447
1.20
1.954
4.062
0.5250
1.30
1.417
2.946
0.3807
1.40
1.052
2.188
0.2828
1.50
7.979
10−29
1.659
0.2144
1.60
6.160
1.281
0.1655
1.70
4.831
1.005
0.1298
1.80
3.842
7.988
10−7
0.1033
1.90
3.094
6.432
0.08314
2.0
2.519
5.238
0.06770
2.5
1.031
2.143
0.02770
3.0
4.968
10−30
1.033
0.01335
3.5
2.681
5.574
10−8
0.007204
4.0
1.571
3.267
0.004222
4.5
9.807
10−31
2.039
0.002636
Wavelength in μ
σ (cm2)
β (cm−1)
5.0
6.434
1.338
1.729
10−11
5.5
4.394
9.136
10−9
1.181
6.0
3.102
6.450
8.337
10−12
6.5
2.252
4.683
6.053
7.0
1.582
3.289
4.251
7.5
1.271
2.642
3.414
8.0
9.815
10−32
2.041
2.637
8.5
7.701
1.601
2.069
9.0
6.127
1.274
1.647
9.5
4.935
1.026
1.326
10.0
4.020
8.358
10−10
1.080
11.0
2.746
5.708
7.378
10−13
12.0
1.938
4.030
5.209
13.0
1.407
2.926
3.782
14.0
1.046
2.175
2.812
15.0
7.940
10−33
1.651
2.134
16.0
6.133
1.275
1.648
17.0
4.813
1.001
1.293
18.0
3.829
7.961
10−11
1.029
19.0
3.084
6.413
8.288
10−14
20.0
2.512
5.223
6.751
Table IV
Rayleigh’s phase function p(cosθ), the angular Rayleigh scattering cross section for air assuming isotropic and anisotropic molecules for 0(1°)180° for visual observations (λ=0.55 μ).
Scattering angle θ
p(cos θ)
σRθ×1028
(1)σRθ×1028
Scattering angle θ
0
1.4739
5.350
5.133
180
1
1.4737
5.350
5.132
179
2
1.4730
5.347
5.130
178
3
1.4719
5.343
5.126
177
4
1.4704
5.338
5.121
176
5
1.4685
5.331
5.114
175
6
1.4661
5.322
5.105
174
7
1.4634
5.312
5.095
173
8
1.4601
5.300
5.083
172
9
1.4565
5.287
5.070
171
10
1.4525
5.273
5.056
170
11
1.4481
5.257
5.040
169
12
1.4432
5.239
5.022
168
13
1.4379
5.220
5.003
167
14
1.4323
5.199
4.983
166
15
1.4263
5.178
4.961
165
16
1.4199
5.154
4.938
164
17
1.4131
5.130
4.914
163
18
1.4060
5.109
4.888
162
19
1.3985
5.077
4.861
161
20
1.3908
5.049
4.833
160
21
1.3826
5.019
4.803
159
22
1.3741
4.988
4.773
158
23
1.3654
4.957
4.741
157
24
1.3563
4.924
4.708
156
25
1.3469
4.889
4.675
155
26
1.3373
4.855
4.640
154
27
1.3274
4.819
4.604
153
28
1.3172
4.782
4.567
152
29
1.3068
4.744
4.530
151
30
1.2962
4.705
4.491
150
31
1.2853
4.666
4.452
149
32
1.2743
4.626
4.412
148
33
1.2630
4.585
4.372
147
34
1.2516
4.543
4.331
146
35
1.2400
4.501
4.289
145
36
1.2283
4.459
4.246
144
37
1.2164
4.416
4.204
143
38
1.2044
4.372
4.160
142
39
1.1923
4.328
4.117
141
40
1.1801
4.284
4.073
140
41
1.1679
4.240
4.028
139
42
1.1556
4.195
3.984
138
43
1.1432
4.150
3.939
137
44
1.1308
4.105
3.895
136
45
1.1184
4.060
3.850
135
46
1.1060
4.015
3.805
134
47
1.0936
3.970
3.760
133
48
1.0812
3.925
3.716
132
49
1.0689
3.880
3.671
131
50
1.0567
3.836
3.627
130
51
1.0445
3.792
3.583
129
52
1.0324
3.748
3.539
128
53
1.0204
3.704
3.496
127
54
1.0086
3.661
3.453
126
55
0.9968
3.619
3.411
125
56
0.9852
3.577
3.369
124
57
0.9738
3.535
3.328
123
58
0.9626
3.494
3.287
122
59
0.9515
3.454
3.247
121
60
0.9407
3.415
3.208
120
61
0.9300
3.376
3.170
119
62
0.9196
3.338
3.132
118
63
0.9095
3.301
3.096
117
64
0.8996
3.265
3.060
116
65
0.8899
3.230
3.025
115
66
0.8805
3.196
2.991
114
67
0.8715
3.164
2.958
113
68
0.8627
3.132
2.927
112
69
0.8542
3.101
2.896
111
70
0.8461
3.071
2.867
110
71
0.8383
3.043
2.838
109
72
0.8308
3.016
2.812
108
73
0.8237
2.990
2.786
107
74
0.8169
2.966
2.762
106
75
0.8105
2.942
2.738
105
76
0.8045
2.920
2.717
104
77
0.7989
2.900
2.696
103
78
0.7936
2.881
2.677
102
79
0.7888
2.863
2.660
101
80
0.7843
2.847
2.644
100
81
0.7803
2.833
2.629
99
82
0.7767
2.819
2.616
98
83
0.7735
2.808
2.605
97
84
0.7707
2.798
2.595
96
85
0.7683
2.789
2.586
95
86
0.7664
2.782
2.579
94
87
0.7649
2.777
2.574
93
88
0.7638
2.773
2.570
92
89
0.7631
2.770
2.567
91
90
0.7629
2.769
2.567
90
Table V
(ns2−1)2 for standard air at air temperature t=15°C.
Wavelength in μ
(ns2−1)2×107
Wavelength in μ
(ns2−1)2×107
Wavelength in μ
(ns2−1)2×107
0.20
4.2024
0.55
3.0884
1.50
2.9882
0.21
4.0315
0.56
3.0841
1.60
2.9864
0.22
3.8887
0.57
3.0801
1.70
2.9849
0.23
3.8010
0.58
3.0763
1.80
2.9836
0.24
3.7085
0.59
3.0728
1.90
2.9826
0.25
3.6360
0.60
3.0694
2.0
2.9816
0.26
3.5746
0.61
3.0661
2.5
2.9786
0.27
3.5219
0.62
3.0631
3.0
2.9770
0.28
3.4762
0.63
3.0602
3.5
2.9759
0.29
3.4363
0.64
3.0574
4.0
2.9753
4.5
2.9749
0.30
3.4012
0.65
3.0547
0.31
3.3702
0.66
3.0522
5.0
2.9747
0.32
3.3425
0.67
3.0498
5.5
2.9743
0.33
3.3177
0.68
3.0475
6.0
2.9741
0.34
3.2955
0.69
3.0453
6.5
2.9740
7.0
2.9739
0.35
3.2754
0.70
3.0432
7.5
2.9738
0.36
3.2572
0.71
3.0412
8.0
2.9737
0.37
3.2406
0.72
3.0393
8.5
2.9737
0.38
3.2255
0.73
3.0375
9.0
2.9736
0.39
3.2116
0.74
3.0357
9.5
2.9736
0.40
3.1989
0.75
3.0340
10.0
2.9736
0.41
3.1873
0.76
3.0324
11.0
2.9735
0.42
3.1765
0.77
3.0309
12.0
2.9734
0.43
3.1665
0.78
3.0293
13.0
2.9734
0.44
3.1572
0.79
3.0279
14.0
2.9734
0.45
3.1486
0.80
3.0265
15.0
2.9734
0.46
3.1407
0.90
3.0151
16.0
2.9734
0.47
3.1332
17.0
2.9734
0.48
3.1263
1.00
3.0071
18.0
2.9733
0.49
3.1198
1.10
3.0012
19.0
2.9733
1.20
2.9967
0.50
3.1137
1.30
2.9932
20.0
2.9733
0.51
3.1080
1.40
2.9904
0.52
3.1026
0.53
3.0976
0.54
3.0928
Table VI
The optical thickness u and the transmissivity τ for a standard atmosphere (isothermal atmosphere).
Wavelength in μ
u
τ
0.20
7.630
0.0005
0.21
6.022
0.0024
0.22
4.823
0.00804
0.23
3.946
0.0193
0.24
3.247
0.0389
0.25
2.704
0.06694
0.26
2.272
0.1031
0.27
1.925
0.1459
0.28
1.643
0.1934
0.29
1.411
0.2439
0.30
1.220
0.2952
0.31
1.060
0.3465
0.32
0.9260
0.3961
0.33
0.8127
0.4392
0.34
0.7164
0.4885
0.35
0.6341
0.5304
0.36
0.5634
0.5693
0.37
0.5023
0.6050
0.38
0.4494
0.6380
0.39
0.4033
0.6681
0.40
0.3630
0.6956
0.41
0.3277
0.7206
0.42
0.2966
0.7433
0.43
0.2691
0.7641
0.44
0.2447
0.7829
0.45
0.2231
0.8000
0.46
0.2038
0.8156
0.47
0.1865
0.8299
0.48
0.1711
0.8427
0.49
0.1572
0.8545
0.50
0.1447
0.8653
0.51
0.1335
0.8750
0.52
0.1233
0.8840
0.53
0.1140
0.8923
0.54
0.1057
0.8997
0.55
0.09805
0.9066
0.56
0.09110
0.9129
0.57
0.08477
0.9187
0.58
0.07897
0.9241
0.59
0.07367
0.9290
0.60
0.06880
0.9335
0.61
0.06433
0.9377
0.62
0.06022
0.9415
0.63
0.05643
0.9451
0.64
0.05294
0.9484
0.65
0.04971
0.9515
0.66
0.04673
0.9543
0.67
0.04397
0.9570
0.68
0.04141
0.9594
0.69
0.03903
0.9617
0.70
0.03682
0.9638
0.71
0.03477
0.9658
0.72
0.03286
0.9677
0.73
0.03107
0.9694
0.74
0.02941
0.9710
0.75
0.02786
0.9725
0.76
0.02641
0.9739
0.77
0.02505
0.9753
0.78
0.02378
0.9765
0.79
0.02258
0.9777
0.80
2.147
10−2
0.9788
0.90
1.335
0.9867
1.00
8.736
10−3
0.9913
1.10
5.955
0.9941
1.20
4.198
0.9958
1.30
3.044
0.9970
1.40
2.261
0.9977
1.50
1.715
10−3
0.9983
1.60
1.324
0.9987
1.70
1.038
0.9990
1.80
8.257
10−4
0.9992
1.90
6.649
0.9994
2.0
5.414
0.9995
2.5
2.215
0.9998
3.0
1.067
0.9999
3.5
5.761
10−5
0.9999
4.0
3.377
1.0000
4.5
2.107
1.0000
5.0
1.382
1.0000
5.5
9.442
10−6
1.0000
6.0
6.666
1.0000
6.5
4.840
1.0000
7.0
3.399
1.0000
7.5
2.730
1.0000
8.0
2.109
1.0000
8.5
1.655
1.0000
9.0
1.317
1.0000
9.5
1.060
1.0000
10.0
8.637
10−7
1.0000
11.0
5.899
1.0000
12.0
4.165
1.0000
13.0
3.024
1.0000
14.0
2.248
1.0000
15.0
1.706
1.0000
16.0
1.318
1.0000
17.0
1.034
1.0000
18.0
8.227
10−8
1.0000
19.0
6.627
1.0000
20.0
5.398
1.0000
Tables (6)
Table I
Refractive indexes n of standard air for selected air temperatures t.
(n−1)×108 for
Wavelength in μ
t=−30°C
t=−15°C
t=±0°C
t=+15°C
t=+30°C
0.20
38406
36174
34187
32408
30802
0.21
37617
35430
33484
31742
30169
0.22
36945
34797
32886
31175
29621
0.23
36526
34403
32514
30821
29294
0.24
36079
33982
32116
30444
28936
0.25
35725
33648
31800
30145
28652
0.26
35422
33363
31530
29889
28408
0.27
35160
33116
31297
29668
28198
0.28
34931
32900
31093
29475
28015
0.29
34730
32711
30915
29306
27845
0.30
34552
32544
30756
29156
27711
0.31
34392
32395
30616
29022
27584
0.32
34253
32262
30490
28903
27471
0.33
34126
32142
30377
28796
27369
0.34
34011
32034
30275
28699
27277
0.35
33907
31936
30182
28611
27194
0.36
33813
31847
30098
28532
27118
0.37
33727
31766
30022
28459
27049
0.38
33648
31692
29951
28393
26986
0.39
33576
31624
29887
28332
26928
0.40
33509
31561
29828
28276
26875
0.41
33448
31504
29773
28224
26825
0.42
33392
31450
29723
28176
26780
0.43
33339
31401
29676
28132
26737
0.44
33290
31355
29633
28091
26699
0.45
33245
31312
29592
28052
26662
0.46
33203
31273
29555
28017
26629
0.47
33164
31235
29520
27984
26597
0.48
33127
31201
29487
27953
26568
0.49
33092
31168
29457
27924
26540
0.50
33060
31138
29428
27896
26514
0.51
33030
31109
29401
27871
26490
0.52
33001
31083
29376
27847
26467
0.53
32974
31057
29352
27824
26445
0.54
32949
31034
29329
27803
26425
0.55
32925
31011
29308
27783
26406
0.56
32903
30990
29288
27764
26388
0.57
32881
30970
29269
27746
26371
0.58
32861
30951
29251
27729
26355
0.59
32842
30933
29234
27712
26339
0.60
32824
30915
29218
27697
26325
0.61
32806
30899
29202
27682
26311
0.62
32790
30884
29188
27669
26298
0.63
32775
30869
29174
27656
26285
0.64
32760
30855
29161
27643
26273
0.65
32746
30842
29148
27631
26262
0.66
32732
30829
29136
27620
26251
0.67
32719
30817
29124
27609
26241
0.68
32707
30805
29113
27598
26231
0.69
32695
30794
29103
27589
26222
0.70
32684
30784
29093
27579
26213
0.71
32673
30774
29084
27570
26204
0.72
32663
30764
29074
27561
26196
0.73
32653
30754
29065
27553
26188
0.74
32644
30746
29057
27545
26180
0.75
32634
30737
29049
27537
26173
0.76
32626
30729
29041
27530
26166
0.77
32617
30721
29034
27523
26159
0.78
32609
30713
29027
27516
26153
0.79
32601
30706
29020
27509
26146
0.80
32594
30699
29013
27503
26140
0.90
32533
30641
28959
27451
26091
1.00
32489
30600
28920
27415
26056
1.10
32457
30570
28891
27388
26031
1.20
32433
30547
28870
27367
26011
1.30
32414
30529
28853
27351
25996
1.40
32399
30515
28840
27339
25984
1.50
32387
30504
28829
27329
25974
1.60
32377
30495
28820
27320
25966
1.70
32369
30487
28813
27313
25960
1.80
32362
30481
28807
27308
25954
1.90
32356
30475
28802
27303
25950
2.0
32351
30470
28797
27298
25946
2.5
32335
30455
28782
27285
25933
3.0
32326
30447
28775
27277
25925
3.5
32321
30442
28770
27272
25921
4.0
32317
30438
28767
27270
25918
4.5
32315
30436
28765
27268
25916
5.0
32314
30435
28763
27267
25915
5.5
32312
30433
28762
27265
25914
6.0
32311
30432
28761
27264
25913
6.5
32310
30432
28760
27264
25913
7.0
32309
30431
28760
27263
25912
7.5
32309
30431
28759
27263
25912
8.0
32309
30430
28759
27262
25912
8.5
32308
30430
28759
27262
25911
9.0
32308
30430
28759
27262
25911
9.5
32308
30429
28758
27262
25911
10.0
32308
30429
28758
27262
25911
11.0
32307
30429
28758
27261
25910
12.0
32307
30429
28758
27261
25910
13.0
32307
30429
28757
27261
25910
14.0
32307
30428
28757
27261
25910
15.0
32307
30428
28757
27261
25910
16.0
32306
30428
28757
27261
25910
17.0
32306
30428
28757
27261
25910
18.0
32306
30428
28757
27260
25910
19.0
32306
30428
28757
27260
25910
20.0
32306
30428
28757
27260
25910
∞
32305.7
30427.5
28756.5
27259.9
25909.2
Table II
Depolarization factor ρn of atmospheric gases for incident unpolarized light.
Lord Rayleigh (R. J. Strutt). Proc. Roy. Soc. (London) A95, 155 (1919).
R. Gans, Ann. Physik 65, 97 (1921).
J. Cabannes and J. Granier, J. phys. radium 4, 429 (1923).
S. R. Rao, Indian J. Phys. 2, 61 (1927).
R. Anantakrishnan, Proc. Indian Acad. Sci. 2, 153 (1935).
H. Volkmann, Ann. Physik 24, 457 (1935).
G. de Vaucouleur, Compt. rend. 288, 1485 (1949).
S. Parthasarathy, Indian J. Phys. 25, 21 (1951).
F. T. Gucker and S. Basu, Sci. Rept. No. 1, AF19 (122)-400 (University of Indiana, 1953).
Table III
Rayleigh scattering cross section σ and Rayleigh scattering coefficients κ and β for t0=0°C and p=1013.25 mb.
Wavelength in μ
σ (cm2)
β×108 (cm−1)
0.20
3.551
10−25
7.382
10−3
954.2
0.21
2.802
5.826
753.1
0.22
2.244
4.666
603.1
0.23
1.836
3.818
493.4
0.24
1.511
3.142
406.1
0.25
1.258
2.616
338.2
0.26
1.057
2.199
284.2
0.27
8.959
10−26
1.863
240.8
0.28
7.645
1.590
205.5
0.29
6.568
1.367
176.5
0.30
5.676
1.180
152.5
0.31
4.933
1.026
132.6
0.32
4.309
8.959
10−4
115.8
0.33
3.782
7.863
101.6
0.34
3.334
6.931
89.59
0.35
2.951
6.135
79.29
0.36
2.622
5.450
70.45
0.37
2.337
4.860
62.82
0.38
2.091
4.348
56.20
0.39
1.877
3.902
50.43
0.40
1.689
3.512
45.40
0.41
1.525
3.170
40.98
0.42
1.380
2.869
37.08
0.43
1.252
2.603
33.65
0.44
1.139
2.368
30.60
0.45
1.038
2.158
27.89
0.46
9.482
10−27
1.972
25.48
0.47
8.680
1.805
23.33
0.48
7.961
1.655
21.40
0.49
7.316
1.521
19.66
0.50
6.735
1.400
18.10
0.51
6.211
1.291
16.69
0.52
5.736
1.193
15.42
0.53
5.307
1.103
14.26
0.54
4.917
1.022
13.21
0.55
4.563
10−27
9.486
10−5
12.26
0.56
4.239
8.814
11.39
0.57
3.945
8.201
10.60
0.58
3.675
7.614
9.876
0.59
3.428
7.127
9.212
0.60
3.202
6.657
8.604
0.61
2.994
6.224
8.045
0.62
2.802
5.826
7.531
0.63
2.626
5.460
7.057
0.64
2.464
5.122
6.620
0.65
2.313
4.810
6.217
0.66
2.175
4.521
5.844
0.67
2.046
4.254
5.498
0.68
1.927
4.006
5.178
0.69
1.816
3.776
4.881
0.70
1.713
3.562
4.605
0.71
1.618
3.364
4.348
0.72
1.529
3.179
4.109
0.73
1.446
3.006
3.886
0.74
1.369
2.845
3.678
0.75
1.296
2.695
3.484
0.76
1.229
2.555
3.302
0.77
1.166
2.423
3.132
0.78
1.106
2.300
2.973
0.79
1.051
2.185
2.824
0.80
9.989
10−28
2.077
2.684
0.90
6.212
1.292
1.670
1.00
4.065
8.452
10−6
1.092
1.10
2.771
5.761
0.7447
1.20
1.954
4.062
0.5250
1.30
1.417
2.946
0.3807
1.40
1.052
2.188
0.2828
1.50
7.979
10−29
1.659
0.2144
1.60
6.160
1.281
0.1655
1.70
4.831
1.005
0.1298
1.80
3.842
7.988
10−7
0.1033
1.90
3.094
6.432
0.08314
2.0
2.519
5.238
0.06770
2.5
1.031
2.143
0.02770
3.0
4.968
10−30
1.033
0.01335
3.5
2.681
5.574
10−8
0.007204
4.0
1.571
3.267
0.004222
4.5
9.807
10−31
2.039
0.002636
Wavelength in μ
σ (cm2)
β (cm−1)
5.0
6.434
1.338
1.729
10−11
5.5
4.394
9.136
10−9
1.181
6.0
3.102
6.450
8.337
10−12
6.5
2.252
4.683
6.053
7.0
1.582
3.289
4.251
7.5
1.271
2.642
3.414
8.0
9.815
10−32
2.041
2.637
8.5
7.701
1.601
2.069
9.0
6.127
1.274
1.647
9.5
4.935
1.026
1.326
10.0
4.020
8.358
10−10
1.080
11.0
2.746
5.708
7.378
10−13
12.0
1.938
4.030
5.209
13.0
1.407
2.926
3.782
14.0
1.046
2.175
2.812
15.0
7.940
10−33
1.651
2.134
16.0
6.133
1.275
1.648
17.0
4.813
1.001
1.293
18.0
3.829
7.961
10−11
1.029
19.0
3.084
6.413
8.288
10−14
20.0
2.512
5.223
6.751
Table IV
Rayleigh’s phase function p(cosθ), the angular Rayleigh scattering cross section for air assuming isotropic and anisotropic molecules for 0(1°)180° for visual observations (λ=0.55 μ).
Scattering angle θ
p(cos θ)
σRθ×1028
(1)σRθ×1028
Scattering angle θ
0
1.4739
5.350
5.133
180
1
1.4737
5.350
5.132
179
2
1.4730
5.347
5.130
178
3
1.4719
5.343
5.126
177
4
1.4704
5.338
5.121
176
5
1.4685
5.331
5.114
175
6
1.4661
5.322
5.105
174
7
1.4634
5.312
5.095
173
8
1.4601
5.300
5.083
172
9
1.4565
5.287
5.070
171
10
1.4525
5.273
5.056
170
11
1.4481
5.257
5.040
169
12
1.4432
5.239
5.022
168
13
1.4379
5.220
5.003
167
14
1.4323
5.199
4.983
166
15
1.4263
5.178
4.961
165
16
1.4199
5.154
4.938
164
17
1.4131
5.130
4.914
163
18
1.4060
5.109
4.888
162
19
1.3985
5.077
4.861
161
20
1.3908
5.049
4.833
160
21
1.3826
5.019
4.803
159
22
1.3741
4.988
4.773
158
23
1.3654
4.957
4.741
157
24
1.3563
4.924
4.708
156
25
1.3469
4.889
4.675
155
26
1.3373
4.855
4.640
154
27
1.3274
4.819
4.604
153
28
1.3172
4.782
4.567
152
29
1.3068
4.744
4.530
151
30
1.2962
4.705
4.491
150
31
1.2853
4.666
4.452
149
32
1.2743
4.626
4.412
148
33
1.2630
4.585
4.372
147
34
1.2516
4.543
4.331
146
35
1.2400
4.501
4.289
145
36
1.2283
4.459
4.246
144
37
1.2164
4.416
4.204
143
38
1.2044
4.372
4.160
142
39
1.1923
4.328
4.117
141
40
1.1801
4.284
4.073
140
41
1.1679
4.240
4.028
139
42
1.1556
4.195
3.984
138
43
1.1432
4.150
3.939
137
44
1.1308
4.105
3.895
136
45
1.1184
4.060
3.850
135
46
1.1060
4.015
3.805
134
47
1.0936
3.970
3.760
133
48
1.0812
3.925
3.716
132
49
1.0689
3.880
3.671
131
50
1.0567
3.836
3.627
130
51
1.0445
3.792
3.583
129
52
1.0324
3.748
3.539
128
53
1.0204
3.704
3.496
127
54
1.0086
3.661
3.453
126
55
0.9968
3.619
3.411
125
56
0.9852
3.577
3.369
124
57
0.9738
3.535
3.328
123
58
0.9626
3.494
3.287
122
59
0.9515
3.454
3.247
121
60
0.9407
3.415
3.208
120
61
0.9300
3.376
3.170
119
62
0.9196
3.338
3.132
118
63
0.9095
3.301
3.096
117
64
0.8996
3.265
3.060
116
65
0.8899
3.230
3.025
115
66
0.8805
3.196
2.991
114
67
0.8715
3.164
2.958
113
68
0.8627
3.132
2.927
112
69
0.8542
3.101
2.896
111
70
0.8461
3.071
2.867
110
71
0.8383
3.043
2.838
109
72
0.8308
3.016
2.812
108
73
0.8237
2.990
2.786
107
74
0.8169
2.966
2.762
106
75
0.8105
2.942
2.738
105
76
0.8045
2.920
2.717
104
77
0.7989
2.900
2.696
103
78
0.7936
2.881
2.677
102
79
0.7888
2.863
2.660
101
80
0.7843
2.847
2.644
100
81
0.7803
2.833
2.629
99
82
0.7767
2.819
2.616
98
83
0.7735
2.808
2.605
97
84
0.7707
2.798
2.595
96
85
0.7683
2.789
2.586
95
86
0.7664
2.782
2.579
94
87
0.7649
2.777
2.574
93
88
0.7638
2.773
2.570
92
89
0.7631
2.770
2.567
91
90
0.7629
2.769
2.567
90
Table V
(ns2−1)2 for standard air at air temperature t=15°C.
Wavelength in μ
(ns2−1)2×107
Wavelength in μ
(ns2−1)2×107
Wavelength in μ
(ns2−1)2×107
0.20
4.2024
0.55
3.0884
1.50
2.9882
0.21
4.0315
0.56
3.0841
1.60
2.9864
0.22
3.8887
0.57
3.0801
1.70
2.9849
0.23
3.8010
0.58
3.0763
1.80
2.9836
0.24
3.7085
0.59
3.0728
1.90
2.9826
0.25
3.6360
0.60
3.0694
2.0
2.9816
0.26
3.5746
0.61
3.0661
2.5
2.9786
0.27
3.5219
0.62
3.0631
3.0
2.9770
0.28
3.4762
0.63
3.0602
3.5
2.9759
0.29
3.4363
0.64
3.0574
4.0
2.9753
4.5
2.9749
0.30
3.4012
0.65
3.0547
0.31
3.3702
0.66
3.0522
5.0
2.9747
0.32
3.3425
0.67
3.0498
5.5
2.9743
0.33
3.3177
0.68
3.0475
6.0
2.9741
0.34
3.2955
0.69
3.0453
6.5
2.9740
7.0
2.9739
0.35
3.2754
0.70
3.0432
7.5
2.9738
0.36
3.2572
0.71
3.0412
8.0
2.9737
0.37
3.2406
0.72
3.0393
8.5
2.9737
0.38
3.2255
0.73
3.0375
9.0
2.9736
0.39
3.2116
0.74
3.0357
9.5
2.9736
0.40
3.1989
0.75
3.0340
10.0
2.9736
0.41
3.1873
0.76
3.0324
11.0
2.9735
0.42
3.1765
0.77
3.0309
12.0
2.9734
0.43
3.1665
0.78
3.0293
13.0
2.9734
0.44
3.1572
0.79
3.0279
14.0
2.9734
0.45
3.1486
0.80
3.0265
15.0
2.9734
0.46
3.1407
0.90
3.0151
16.0
2.9734
0.47
3.1332
17.0
2.9734
0.48
3.1263
1.00
3.0071
18.0
2.9733
0.49
3.1198
1.10
3.0012
19.0
2.9733
1.20
2.9967
0.50
3.1137
1.30
2.9932
20.0
2.9733
0.51
3.1080
1.40
2.9904
0.52
3.1026
0.53
3.0976
0.54
3.0928
Table VI
The optical thickness u and the transmissivity τ for a standard atmosphere (isothermal atmosphere).
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