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As a fraction of the correct calculated value of
.
Table III
Values of the
(λ) components.
λ
(λ)
(λ)
(λ)
0.360μ
41586
9127
107023
1010
0.365
45469
6452
95973
0006
0.370
31703
9953
84370
5022
0.375
34822
0122
72771
3684
0.380
21245
2687
61533
3800
0.385
22947
6910
67450
7777
0.390
26422
2479
53198
8418
0.395
11292
9461
41220
4590
0.400
2414
1854
44160
5975
0.405
4195
4529
31273
8713
0.410
6808
3915
33520
0480
0.415
01034
9766
38819
1934
0.420
1478
1821
22012
1744
72068
6853
0.425
1989
1182
24198
1678
81024
9839
0.430
2528
6526
28041
1839
84673
1688
0.435
3044
4934
11419
2803
71967
2204
0.440
3480
0367
2316
5668
77670
8720
0.445
3785
1993
3508
4373
62779
2112
0.450
3926
2118
4946
1417
69383
2737
0.455
3891
6718
6510
6905
52960
4224
0.460
3693
4303
8025
1825
58751
3076
0.465
3362
5388
9288
5830
42430
0314
0.470
2941
8596
01012
1690
46353
5934
0.475
2477
5970
1041
0084
31567
8210
0.480
2011
8501
1012
9565
33659
3055
0.485
1577
5610
19346
5740
38095
4056
0.490
1196
3017
8195
6528
21700
9375
0.495
18785
5379
6843
6136
23400
8031
0.500
6256
7737
5452
7920
26482
0910
0.505
4326
5534
4153
4223
11179
9180
0.510
2908
5293
3029
9303
2054
5725
0.515
1903
0543
2120
5555
3427
8571
0.520
1213
2759
1426
1834
5488
1347
0.525
27545
0422
29232
0247
8444
4001
0.530
4581
4229
5760
6554
01250
4587
0.535
2718
9392
3470
0013
1784
4960
0.540
1578
5730
2020
5656
2457
3817
0.545
38973
9627
1138
8833
3269
5096
0.550
4999
5420
36221
5945
4207
9051
0.555
2731
8630
33298
1522
5244
7180
0.560
1465
2503
31698
6137
6337
6903
0.565
47719
9823
48508
6592
7432
8170
0.570
3998
3999
44149
9039
8469
0039
0.575
2037
1483
41972
7600
9384
1173
0.580
1021
6788
59149
5707
1.0121
5282
0.585
55047
0618
54144
1087
1.0636
1396
0.590
52457
3181
51834
6909
1.0898
9850
0.595
51179
8808
67946
5335
1.0899
7537
0.600
65590
0302
63370
0969
1.0646
9894
0.605
62614
7196
61400
5849
1.0166
0988
0.610
61208
0849
75708
4450
09495
6479
0.615
75516
3106
72283
4600
8682
6268
0.620
72490
5090
88971
1823
7777
4279
0.625
71112
2867
83464
0823
6829
2079
0.630
84916
1825
81315
5252
5882
1330
0.635
82151
3344
94916
5656
4972
7909
0.640
99324
7138
91809
4439
4128
8345
(Superscripts refer to number of zeros after the decimal point.)
Table IV
Values of
(λ) at long wave-lengths.
(λ)
(λ)
λ
Two-term
Equation
(λ)
C.I.E.
0.620μ
03421
5254
0
03421
5254
03810
0.625
2912
7976
0
2912
7976
3210
0.630
2457
4614
47429
02461
2456
7185
2650
0.635
2055
3272
21453
6416
2040
7908
2170
0.640
1704
5918
24897
4638
1655
6171
1750
0.645
1402
2572
28632
5712
1315
9315
1382
0.650
1144
5143
11131
2049
1031
3938
1070
0.655
19270
7572
1270
8763
17999
8809
1816
0.660
7454
5224
1309
4349
6145
0875
610
0.665
5951
7054
1281
7318
4669
9735
446
0.670
4719
3551
1215
8222
3503
5329
320
Single-term Equation
0.670
3503
5329
320
0.675
2602
8544
232
0.680
1906
9643
170
0.685
1378
3986
119
Table V
The function
(λ).
λ (micron)
C.I.E. standard
Old analytic
New analytic
100 (new-C.I.E.)
0.36
—
83023
83045
—
0.37
—
74014
74042
—
0.38
44000
64085
64115
−0.004
0.39
31200
53265
53288
−0.012
0.40
34000
42092
42107
−0.038
0.41
21200
31096
31104
−0.11
0.42
24000
34773
34807
−0.35
0.43
11160
21755
21767
−1.4
0.44
2300
25522
25562
−1.7
0.45
3800
11506
11517
−2.3
0.46
6000
13602
13628
−2.4
0.47
9100
17629
17683
−1.4
0.48
01390
01445
01455
+0.65
0.49
2080
2466
2484
+4.0
0.50
3230
3826
3853
+6.2
0.51
5030
5432
5471
+4.4
0.52
7100
7103
7154
+0.54
0.53
8620
8607
8669
+0.49
0.54
9540
9717
9787
+2.47
0.55
9950
1.0272
1.0345
+4.0
0.56
9950
1.0214
1.0287
+3.4
0.57
9520
09595
09664
+1.4
0.58
8700
8549
8610
−0.9
0.59
7570
7250
7302
−2.7
0.60
6310
5872
5914
−4.0
0.61
5030
4556
4589
−4.4
0.62
3810
3397
3422
−3.9
0.63
2650
2440
2457
−1.9
0.64
1750
1692
1656
−0.94
0.65
1070
1136
1031
−0.39
0.66
16100
17402
16145
+0.05
0.67
13200
4686
13504
+0.30
0.68
11700
2889
11907
+0.21
0.69
28200
1737
29834
+0.16
0.70
4100
1021
4821
+0.07
0.71
2100
25870
2254
+0.01.
0.72
1050
23307
1007
0
0.73
35200
21829
34319
−0.01
0.74
32500
39933
31780
−0.01
0.75
31200
5307
47073
0
0.76
46000
2792
42714
0
0.77
—
1448
41008
—
0.78
—
47405
53632
—
0.79
—
3741
51271
—
0.80
—
1868
64332
—
Table VI
Calculated values of
(λ),
(λ), and
(λ).
λ
(λ)
(λ)
(λ)
0.360μ
41586
9057
83044
6763
47252
1912
0.365
45469
5855
71148
6943
32499
6279
0.370
31703
9516
4042
3635
37787
2587
0.375
34821
7351
61331
1817
22203
6596
0.380
21245
1154
4114
6825
25690
8780
0.385
22946
9460
51197
2482
11347
0948
0.390
26419
0491
3288
2431
12934
9673
0.395
11291
7257
8546
6177
15908
7638
0.400
2410
0248
42107
3363
01103
2827
0.405
4182
7141
4940
6609
1917
3220
0.410
6773
1910
31103
8183
3111
4349
0.415
01026
1574
2354
8964
4729
8429
0.420
1458
0603
4806
8634
6755
2921
0.425
1947
1365
9405
4185
9090
2702
0.430
2448
2409
21767
2201
1.1555
9426
0.435
2902
5656
3193
9698
1.3913
3350
0.440
3248
3808
5561
5259
1.5903
7679
0.445
3434
3584
9344
1877
1.7298
3609
0.450
3431
6070
11517
0609
1.7942
7880
0.455
3240
6323
2383
2943
1.7784
9401
0.460
2890
9996
3627
7420
1.6878
9766
0.465
2433
9235
5357
0202
1.5366
8024
0.470
1930
3260
7683
4645
1.3444
2986
0.475
1438
1564
01071
5999
1.1322
6183
0.480
1002
5529
01454
8635
09194
1548
0.485
16509
9902
1924
7607
7209
4538
0.490
3937
4578
2483
8580
5467
0987
0.495
2282
0047
3129
5636
4014
9908
0.500
1452
1908
3853
3742
2859
3456
0.505
1353
0492
4640
6104
1977
2349
0.510
1933
1715
5470
7315
1329
1979
0.515
3210
3559
6318
2449
18696
9583
0.520
5275
2272
7154
1489
5544
6710
0.525
8275
7019
7947
7780
3448
0843
0.530
01238
6664
8668
8649
2093
7102
0.535
1776
9854
9289
6090
1242
5552
0.540
2452
9618
9786
5427
27214
0786
0.545
3267
0947
1.0142
0184
4101
1009
0.550
4206
6830
1.0345
1901
2284
7907
0.555
5244
1517
1.0392
4267
1248
4614
0.560
06337
4569
1.0287
1597
36696
1940
0.565
07432
7382
1.0039
2263
33528
0319
0.570
08468
9888
09663
8143
31827
2687
0.575
09384
1238
9180
1388
49309
7677
0.580
1.0121
5388
8609
9964
4669
0722
0.585
1.0636
1487
7976
3215
2306
5072
0.590
1.0898
9912
7301
8655
1122
9944
0.595
1.0899
7576
6608
0749
55392
0552
0.600
1.0646
9916
5914
2238
52554
6438
0.605
1.0166
1000
5236
8178
51194
9269
0.610
09495
6485
4589
2655
65520
9478
0.615
8682
6272
3981
7878
62520
9540
0.620
7777
4281
3421
5254
61138
1626
0.625
6829
2079
2912
7976
75083
1501
0.630
5882
1330
2456
7185
72246
6954
0.635
4972
7909
2040
7908
89831
5983
0.640
4128
8345
1655
6171
84261
3942
0.645
3368
7482
1315
9315
81830
2026
0.650
2702
5049
1031
3938
97791
7013
0.655
2132
8282
17999
8809
93289
3542
0.660
1656
7737
6145
0875
91377
4881
0.665
01267
3808
4669
9735
0.670
19552
1015
3503
5329
0.675
7096
4737
2602
8544
0.680
5199
1854
1906
9643
0.685
3758
0933
1378
3986
0.690
2681
1650
29834
0137
0.695
1888
7796
6927
6916
0.700
11314
3558
4820
8122
0.705
29038
2645
3315
0670
0.710
6144
1054
2253
5434
0.715
4130
3762
1514
9451
0.720
2746
8106
1007
4789
0.725
1807
6814
36630
2388
0.730
21177
6344
4319
3435
0.735
37596
8090
2786
3680
0.740
4854
1877
1780
4256
0.745
3073
2283
1127
2029
0.750
1928
3695
47072
9002
0.755
31199
5635
4399
7755
0.760
47399
6374
2714
0492
0.765
4527
5669
1660
6272
0.770
2748
5025
1008
0995
0.775
1655
8098
56073
2018
0.780
59901
7226
3631
7674
0.785
5878
9118
2156
2753
0.790
3466
2976
1271
3734
0.795
2030
0718
67445
9254
0.800
1181
2035
4332
4345
0.805
66829
5838
2504
9641
0.810
3924
6931
1439
5043
0.815
2242
0349
78223
3666
0.820
1273
4593
4670
8114
0.825
77193
0353
2638
2713
0.830
4041
1029
1482
2013
0.835
2258
5106
88283
7963
0.840
1255
8873
4606
3608
0.845
86949
5272
2548
9571
0.850
3827
3976
1403
8182
0.855
2098
2703
97696
0647
0.860
1145
2300
4200
4905
0.865
6223
8562
2282
7945
0.870
3368
3889
1235
4623
0.875
91815
6804
106659
5775
0.880
109749
1792
3575
8173
0.885
5215
1112
1912
8057
0.890
2779
5840
1019
4996
0.895
1476
2812
115414
7245
0.900
117814
1607
2866
0886
Table VII
The gamma-function.
(λ)
(λ)
(λ)
(λ)
(λ)
p
365.
3388
500.
0000
336.
0385
182.
1905
1013.
5000
log Γ(p−1)
774.
1439
1840
1128.
6893
3799
699.
6352
2470
329.
7328
7408
2602.
1357
3502
log Γ(p−2)
771.
5836
0662
1125.
9921
0864
697.
1114
2818
327.
4771
4219
2599.
1307
6913
log Γ(p−3)
769.
0244
9178
1123.
2957
5225
694.
5889
3374
325.
2238
2721
2596.
1262
3282
log Γ(p−4)
766.
4665
7718
1120.
6002
7058
692.
0677
4529
322.
9729
4266
2593.
1221
2649
log Γ(p−5)
763.
9098
6615
1117.
9056
6538
689.
5478
6679
320.
7245
0223
2590.
1184
5059
log Γ(p)
776.
7054
2382
1131.
3874
3853
702.
1603
1942
331.
9910
0950
2605.
1411
3005
log Γ(p+1)
779.
2681
1962
1134.
0864
0854
704.
6867
0846
334.
2515
3523
2608.
1469
5381
log Γ(p+2)
781.
8320
0254
1136.
7862
4626
707.
2143
8797
336.
5144
3818
2611.
1532
0586
log Γ(p+3)
784.
3970
6934
1139.
4869
4998
709.
7433
5414
338.
7797
0541
2614.
1598
8578
log Γ(p+4)
786.
9633
1681
1142.
1885
1796
712.
2736
0315
341.
0473
2411
2617.
1669
9317
log Γ(p+5)
789.
5307
4174
1144.
8909
4850
714.
8051
3124
343.
3172
8163
2620.
1745
2759
log Γ(p+6)
792.
0993
4096
1147.
5942
3988
717.
3379
3465
345.
5895
6543
2623.
1824
8862
log Γ(p+7)
794.
6691
1129
1150.
2983
9039
719.
8720
0965
347.
8641
6313
2626.
1908
7585
log Γ(p+8)
797.
2400
4958
1153.
0033
9835
722.
4073
5251
350.
1410
6245
2629.
1996
8886
log Γ(p+9)
799.
8121
5271
1155.
7092
6207
724.
9439
5956
352.
4202
5127
2632.
2089
2723
log Γ(p+10)
802.
3854
1755
1158.
4159
7985
727.
4818
2711
354.
7017
1758
2635.
2185
9055
Table VIII
Difference between
(λ) and
(λ).
λ
(λ)
0.620μ
03421
5254
0
0.625
2912
7976
81
8539
0.630
2457
4614
47429
2461
0.635
2055
3272
21453
6416
0.640
1704
5918
24897
4638
0.645
1402
2572
28632
5712
0.650
1144
5143
11131
2049
0.655
19270
7572
1270
8763
0.660
7454
5224
1309
4349
0.665
5951
7054
1281
7318
0.670
4719
3551
1215
8222
0.675
3717
4289
1114
5744
0.680
2909
4918
1002
5274
0.685
2263
0728
28846
7416
0.690
1749
7507
7663
4929
0.695
1345
0436
6522
7444
0.700
1028
1644
5460
8309
0.705
27816
9128
4501
8457
0.710
5911
9745
3658
3126
0.715
4448
6655
2933
7204
0.720
3331
1926
2323
7137
0.725
2482
6362
1819
6123
0.730
1841
7807
1409
8464
0.735
1360
3177
1081
6809
0.740
1000
4241
38223
8156
0.745
37327
0848
6199
8820
0.750
5344
9223
4637
6323
0.755
3883
9411
3443
9635
0.760
2811
7782
2540
3733
0.765
2028
2478
1862
1851
0.770
1457
9585
1357
1485
0.775
1044
4904
49837
5842
0.780
47458
4468
7095
2700
0.785
5309
1477
5093
5202
0.790
3767
7332
3640
5958
0.795
2665
9952
2591
5359
0.800
1881
0748
1837
7505
Table IX
Relative size of the correction term.
m
(Y/Km)A
(Y/Km)D
Y/Km
(D)/(A)
−1
0.19313
741
0.00110
165
0.19203
577
0.0057
0
0.10759
235
0.00073
884
0.10685
352
0.0069
1
0.06026
983
0.00049
600
0.05977
382
0.0082
2
0.03394
963
0.00033
331
0.03361
632
0.0098
3
0.01923
097
0.00022
419
0.01900
677
0.0117
Table X
Schedule for integration.
Z
X
Y
p
365.33880
500.000
B
182.19050
A
(p−m−1)
log q
2.2173
5390
2.3756
6361
2.0040
5039
log A
32.75260
54.51150
32.41380
log Γ(p−m−1)
−(p−m−1) log q
log (L/Km)
L/Km
p
336.0385
C
1013.50
D
(p−m−1)
log q
2.2990
8304
2.8318
9856
log A
69.59480
262.03010
log Γ(p−m−1)
−(p−m−1) log q
log (L/Km)
L/Km
XA=Z/4.570=X=XA+XC−XB
Y=YA−YD
Table XI
Equal-energy spectrum (m=0).
Z
X
Y
p
365.33880
500.000
B
182.19050
A
(p−m−1)
364.33880
499.000
181.19050
log q
2.2173
5390
2.3756
6361
2.0040
5039
log A
32.75260
54.51150
32.41380
log Γ(p−m−1)
774.14391
840
1128.68933
799
329.73287
408
−(p−m−1) log q
−807.86805
896
−1185.45614
339
−363.11489
270
log (L/Km)
9.02845
944−10
7.74469
460−10
9.03178
138−10
L/Km
0.0055551
348
0.10759
235
p
336.0385
C
1013.50
D
(p−m−1)
335.0385
1012.50
log q
2.2990
8304
2.8318
9856
log A
69.59480
262.03010
log Γ(p−m−1)
699.63522
470
2602.13573
502
−(p−m−1) log q
−770.28133
266
−2867.29728
775
log (L/Km)
8.94869
204−10
6.86854
727−10
L/Km
0.088857
797
0.00073884
XA=Z/4.570=0.02336
3744
X=XA+XC−XB
Y=YA−YD
Table XII
Blackbody radiation, a comparison of the Planck and Wien equations.
T (°K)
Planck
Z (ostwalds) Wien
Percent difference
Planck
Xc (munsells) Wien
Percent difference
Planck
YA (youngs) Wien
Percent difference
1000
494500
494500
0
125287
125287
0
114659
114659
0
1500
2.0149
2.0149
0
55.366
55.366
0
38.573
38.573
0
2000
326.03
326.03
0
2768.1
2768.1
0
2250.1
2250.1
0
2500
7135.5
7135.5
0
29583
29580
0.01
26952
26950
0.008
3000
56643
56641
0.004
144891
144841
0.03
143761
143721
0.028
3500
250581
250541
0.016
453041
452531
0.11
479941
479551
0.082
4000
767521
767191
0.043
106892
106612
0.26
119232
119002
0.20
4500
183812
183632
0.098
208962
207932
0.49
242932
242042
0.37
5000
370392
369672
0.19
358132
355142
0.83
430672
427952
0.63
6000
106433
105863
0.54
808792
794032
1.8
102413
100953
1.4
7000
227373
224843
1.1
145913
141233
3.2
191733
186803
2.6
8000
403813
395983
1.9
228893
217673
4.9
309193
296763
4.0
9000
634293
615353
3.0
327193
304843
6.8
451453
425723
5.7
10000
914513
875873
4.2
438253
399203
8.9
614893
568463
7.5
14000
242574
217454
10.4
971383
799453
17.7
142044
119824
15.7
20000
540904
430714
20.4
191594
134714
29.6
288334
210024
27.2
Note—Superscripts refer to number of zeros between the given figures and the decimal point. For instance, 250581=250580.
Table XIII
Calculation for Planckian radiation, T=14000°K.
log Zn=828.28376
626−(p+4) log (q+nC2/T),
(p+4)=369.33880,
q=164.95060, C2/T=1.0228
57142.
n
(q+nC2/T)
log (q+nC2/T)
(p+4) log (q+nC2/T)
log Zn
Zn
1
165.
97
34571
2.22003
86400
819.94640
725
8.33735
901
2.1744
980×108
2
166.
99
63143
2.22270
68859
820.93189
399
7.35187
227
2.2483
932×107
3
168.
01
91714
2.22535
88386
821.91136
302
6.37240
324
2.3572
369×106
4
169.
04
20286
2.22799
46957
822.88488
732
5.39887
894
2.5054
108×105
5
170.
06
48857
2.23061
46513
823.85253
857
4.43122
769
2.6991
541×104
6
171.
08
77429
2.23321
88967
824.81438
744
3.46937
882
2.9469
909×103
7
172.
11
06000
2.23580
76186
825.77050
288
2.51326
338
326.03
437×1
8
173.
13
34571
2.23838
10009
826.72095
282
1.56281
344
36.543
778
9
174.
15
63143
2.24093
92249
827.66580
420
0.61796
206
4.1491
780
10
175.
17
91714
2.24348
24677
828.60512
244
9.76786
438−10
0.58595
516
Z=2.4257
180×108
Table XIV
Planckian radiation.
T (°K)
1/T (mireds)
X (munsells)
Y (youngs)
Z (ostwalds)
1000
1000
1252
948
1134
395
4944
996
1023
977
1422
666
1227
210
3183
551
1125
888
0322
323
0182
430
2254
347
1143
875
0443
656
0253
336
2384
659
1200
833
1.15
911
0680
568
1133
424
1286
777
4.18
939
2.56
049
1705
159
1333
750
7.98
011
4.98
249
0162
570
1400
714
18.3
333
11.7
642
0585
955
1421
704
23.4
134
15.1
754
0656
317
1500
667
55.6
036
37.1
962
2.01
486
1556
643
97.0
509
66.3
027
4.14
918
1600
625
14.7
480
102
394
7.13
927
1740
571
519
527
379
277
36.5
438
1800
555
755
356
559
973
59.3
661
2000
500
281
2.39
220
2.97
326
034
2046
488
367
2.88
290
9.85
460
638
2222
450
924
4.33
761
8.78
152
0.36
2250
445
105
55.3
874
9.23
180
4.75
2333
429
154
29.9
129
97.9
294
6.99
2500
400
306
22.8
265
56.7
713
5.53
2667
375
559
24.2
497
30.3
154
96.3
2800
357
861
21.9
779
41.9
269
92.1
2842
352
978
71.1
890
30.4
318
08.2
2857
350
102
398
933
16.7
337
07.8
3000
333
153
506
142
131
566
42.9
3333
300
346
514
330
671
160
296
3500
286
492
209
475
429
250
578
4000
250
119
1241
118
2561
767
515
4500
222
238
6951
241
1701
183
8101
4667
214
291
5551
295
8541
236
0191
5000
200
418
7211
427
8251
370
3891
6000
167
986
0721
101
8202
106
4262
6667
150
152
4352
157
8402
180
9492
7000
143
184
1292
190
7312
227
3752
8000
125
297
2942
307
6892
403
8132
9000
111
435
2542
449
3792
634
2932
10000
100
594
7592
612
1902
914
5112
14000
71.4
139
0953
141
4803
242
5723
20000
50.0
285
8073
287
2713
540
9023
Note—The superscripts refer to the number of zeros between the given numbers and the decimal point. For instance, at T=1000, X=1252948=0.0252948. T=20000, X=2858073=285,807,000.
As a fraction of the correct calculated value of
.
Table III
Values of the
(λ) components.
λ
(λ)
(λ)
(λ)
0.360μ
41586
9127
107023
1010
0.365
45469
6452
95973
0006
0.370
31703
9953
84370
5022
0.375
34822
0122
72771
3684
0.380
21245
2687
61533
3800
0.385
22947
6910
67450
7777
0.390
26422
2479
53198
8418
0.395
11292
9461
41220
4590
0.400
2414
1854
44160
5975
0.405
4195
4529
31273
8713
0.410
6808
3915
33520
0480
0.415
01034
9766
38819
1934
0.420
1478
1821
22012
1744
72068
6853
0.425
1989
1182
24198
1678
81024
9839
0.430
2528
6526
28041
1839
84673
1688
0.435
3044
4934
11419
2803
71967
2204
0.440
3480
0367
2316
5668
77670
8720
0.445
3785
1993
3508
4373
62779
2112
0.450
3926
2118
4946
1417
69383
2737
0.455
3891
6718
6510
6905
52960
4224
0.460
3693
4303
8025
1825
58751
3076
0.465
3362
5388
9288
5830
42430
0314
0.470
2941
8596
01012
1690
46353
5934
0.475
2477
5970
1041
0084
31567
8210
0.480
2011
8501
1012
9565
33659
3055
0.485
1577
5610
19346
5740
38095
4056
0.490
1196
3017
8195
6528
21700
9375
0.495
18785
5379
6843
6136
23400
8031
0.500
6256
7737
5452
7920
26482
0910
0.505
4326
5534
4153
4223
11179
9180
0.510
2908
5293
3029
9303
2054
5725
0.515
1903
0543
2120
5555
3427
8571
0.520
1213
2759
1426
1834
5488
1347
0.525
27545
0422
29232
0247
8444
4001
0.530
4581
4229
5760
6554
01250
4587
0.535
2718
9392
3470
0013
1784
4960
0.540
1578
5730
2020
5656
2457
3817
0.545
38973
9627
1138
8833
3269
5096
0.550
4999
5420
36221
5945
4207
9051
0.555
2731
8630
33298
1522
5244
7180
0.560
1465
2503
31698
6137
6337
6903
0.565
47719
9823
48508
6592
7432
8170
0.570
3998
3999
44149
9039
8469
0039
0.575
2037
1483
41972
7600
9384
1173
0.580
1021
6788
59149
5707
1.0121
5282
0.585
55047
0618
54144
1087
1.0636
1396
0.590
52457
3181
51834
6909
1.0898
9850
0.595
51179
8808
67946
5335
1.0899
7537
0.600
65590
0302
63370
0969
1.0646
9894
0.605
62614
7196
61400
5849
1.0166
0988
0.610
61208
0849
75708
4450
09495
6479
0.615
75516
3106
72283
4600
8682
6268
0.620
72490
5090
88971
1823
7777
4279
0.625
71112
2867
83464
0823
6829
2079
0.630
84916
1825
81315
5252
5882
1330
0.635
82151
3344
94916
5656
4972
7909
0.640
99324
7138
91809
4439
4128
8345
(Superscripts refer to number of zeros after the decimal point.)
Table IV
Values of
(λ) at long wave-lengths.
(λ)
(λ)
λ
Two-term
Equation
(λ)
C.I.E.
0.620μ
03421
5254
0
03421
5254
03810
0.625
2912
7976
0
2912
7976
3210
0.630
2457
4614
47429
02461
2456
7185
2650
0.635
2055
3272
21453
6416
2040
7908
2170
0.640
1704
5918
24897
4638
1655
6171
1750
0.645
1402
2572
28632
5712
1315
9315
1382
0.650
1144
5143
11131
2049
1031
3938
1070
0.655
19270
7572
1270
8763
17999
8809
1816
0.660
7454
5224
1309
4349
6145
0875
610
0.665
5951
7054
1281
7318
4669
9735
446
0.670
4719
3551
1215
8222
3503
5329
320
Single-term Equation
0.670
3503
5329
320
0.675
2602
8544
232
0.680
1906
9643
170
0.685
1378
3986
119
Table V
The function
(λ).
λ (micron)
C.I.E. standard
Old analytic
New analytic
100 (new-C.I.E.)
0.36
—
83023
83045
—
0.37
—
74014
74042
—
0.38
44000
64085
64115
−0.004
0.39
31200
53265
53288
−0.012
0.40
34000
42092
42107
−0.038
0.41
21200
31096
31104
−0.11
0.42
24000
34773
34807
−0.35
0.43
11160
21755
21767
−1.4
0.44
2300
25522
25562
−1.7
0.45
3800
11506
11517
−2.3
0.46
6000
13602
13628
−2.4
0.47
9100
17629
17683
−1.4
0.48
01390
01445
01455
+0.65
0.49
2080
2466
2484
+4.0
0.50
3230
3826
3853
+6.2
0.51
5030
5432
5471
+4.4
0.52
7100
7103
7154
+0.54
0.53
8620
8607
8669
+0.49
0.54
9540
9717
9787
+2.47
0.55
9950
1.0272
1.0345
+4.0
0.56
9950
1.0214
1.0287
+3.4
0.57
9520
09595
09664
+1.4
0.58
8700
8549
8610
−0.9
0.59
7570
7250
7302
−2.7
0.60
6310
5872
5914
−4.0
0.61
5030
4556
4589
−4.4
0.62
3810
3397
3422
−3.9
0.63
2650
2440
2457
−1.9
0.64
1750
1692
1656
−0.94
0.65
1070
1136
1031
−0.39
0.66
16100
17402
16145
+0.05
0.67
13200
4686
13504
+0.30
0.68
11700
2889
11907
+0.21
0.69
28200
1737
29834
+0.16
0.70
4100
1021
4821
+0.07
0.71
2100
25870
2254
+0.01.
0.72
1050
23307
1007
0
0.73
35200
21829
34319
−0.01
0.74
32500
39933
31780
−0.01
0.75
31200
5307
47073
0
0.76
46000
2792
42714
0
0.77
—
1448
41008
—
0.78
—
47405
53632
—
0.79
—
3741
51271
—
0.80
—
1868
64332
—
Table VI
Calculated values of
(λ),
(λ), and
(λ).
λ
(λ)
(λ)
(λ)
0.360μ
41586
9057
83044
6763
47252
1912
0.365
45469
5855
71148
6943
32499
6279
0.370
31703
9516
4042
3635
37787
2587
0.375
34821
7351
61331
1817
22203
6596
0.380
21245
1154
4114
6825
25690
8780
0.385
22946
9460
51197
2482
11347
0948
0.390
26419
0491
3288
2431
12934
9673
0.395
11291
7257
8546
6177
15908
7638
0.400
2410
0248
42107
3363
01103
2827
0.405
4182
7141
4940
6609
1917
3220
0.410
6773
1910
31103
8183
3111
4349
0.415
01026
1574
2354
8964
4729
8429
0.420
1458
0603
4806
8634
6755
2921
0.425
1947
1365
9405
4185
9090
2702
0.430
2448
2409
21767
2201
1.1555
9426
0.435
2902
5656
3193
9698
1.3913
3350
0.440
3248
3808
5561
5259
1.5903
7679
0.445
3434
3584
9344
1877
1.7298
3609
0.450
3431
6070
11517
0609
1.7942
7880
0.455
3240
6323
2383
2943
1.7784
9401
0.460
2890
9996
3627
7420
1.6878
9766
0.465
2433
9235
5357
0202
1.5366
8024
0.470
1930
3260
7683
4645
1.3444
2986
0.475
1438
1564
01071
5999
1.1322
6183
0.480
1002
5529
01454
8635
09194
1548
0.485
16509
9902
1924
7607
7209
4538
0.490
3937
4578
2483
8580
5467
0987
0.495
2282
0047
3129
5636
4014
9908
0.500
1452
1908
3853
3742
2859
3456
0.505
1353
0492
4640
6104
1977
2349
0.510
1933
1715
5470
7315
1329
1979
0.515
3210
3559
6318
2449
18696
9583
0.520
5275
2272
7154
1489
5544
6710
0.525
8275
7019
7947
7780
3448
0843
0.530
01238
6664
8668
8649
2093
7102
0.535
1776
9854
9289
6090
1242
5552
0.540
2452
9618
9786
5427
27214
0786
0.545
3267
0947
1.0142
0184
4101
1009
0.550
4206
6830
1.0345
1901
2284
7907
0.555
5244
1517
1.0392
4267
1248
4614
0.560
06337
4569
1.0287
1597
36696
1940
0.565
07432
7382
1.0039
2263
33528
0319
0.570
08468
9888
09663
8143
31827
2687
0.575
09384
1238
9180
1388
49309
7677
0.580
1.0121
5388
8609
9964
4669
0722
0.585
1.0636
1487
7976
3215
2306
5072
0.590
1.0898
9912
7301
8655
1122
9944
0.595
1.0899
7576
6608
0749
55392
0552
0.600
1.0646
9916
5914
2238
52554
6438
0.605
1.0166
1000
5236
8178
51194
9269
0.610
09495
6485
4589
2655
65520
9478
0.615
8682
6272
3981
7878
62520
9540
0.620
7777
4281
3421
5254
61138
1626
0.625
6829
2079
2912
7976
75083
1501
0.630
5882
1330
2456
7185
72246
6954
0.635
4972
7909
2040
7908
89831
5983
0.640
4128
8345
1655
6171
84261
3942
0.645
3368
7482
1315
9315
81830
2026
0.650
2702
5049
1031
3938
97791
7013
0.655
2132
8282
17999
8809
93289
3542
0.660
1656
7737
6145
0875
91377
4881
0.665
01267
3808
4669
9735
0.670
19552
1015
3503
5329
0.675
7096
4737
2602
8544
0.680
5199
1854
1906
9643
0.685
3758
0933
1378
3986
0.690
2681
1650
29834
0137
0.695
1888
7796
6927
6916
0.700
11314
3558
4820
8122
0.705
29038
2645
3315
0670
0.710
6144
1054
2253
5434
0.715
4130
3762
1514
9451
0.720
2746
8106
1007
4789
0.725
1807
6814
36630
2388
0.730
21177
6344
4319
3435
0.735
37596
8090
2786
3680
0.740
4854
1877
1780
4256
0.745
3073
2283
1127
2029
0.750
1928
3695
47072
9002
0.755
31199
5635
4399
7755
0.760
47399
6374
2714
0492
0.765
4527
5669
1660
6272
0.770
2748
5025
1008
0995
0.775
1655
8098
56073
2018
0.780
59901
7226
3631
7674
0.785
5878
9118
2156
2753
0.790
3466
2976
1271
3734
0.795
2030
0718
67445
9254
0.800
1181
2035
4332
4345
0.805
66829
5838
2504
9641
0.810
3924
6931
1439
5043
0.815
2242
0349
78223
3666
0.820
1273
4593
4670
8114
0.825
77193
0353
2638
2713
0.830
4041
1029
1482
2013
0.835
2258
5106
88283
7963
0.840
1255
8873
4606
3608
0.845
86949
5272
2548
9571
0.850
3827
3976
1403
8182
0.855
2098
2703
97696
0647
0.860
1145
2300
4200
4905
0.865
6223
8562
2282
7945
0.870
3368
3889
1235
4623
0.875
91815
6804
106659
5775
0.880
109749
1792
3575
8173
0.885
5215
1112
1912
8057
0.890
2779
5840
1019
4996
0.895
1476
2812
115414
7245
0.900
117814
1607
2866
0886
Table VII
The gamma-function.
(λ)
(λ)
(λ)
(λ)
(λ)
p
365.
3388
500.
0000
336.
0385
182.
1905
1013.
5000
log Γ(p−1)
774.
1439
1840
1128.
6893
3799
699.
6352
2470
329.
7328
7408
2602.
1357
3502
log Γ(p−2)
771.
5836
0662
1125.
9921
0864
697.
1114
2818
327.
4771
4219
2599.
1307
6913
log Γ(p−3)
769.
0244
9178
1123.
2957
5225
694.
5889
3374
325.
2238
2721
2596.
1262
3282
log Γ(p−4)
766.
4665
7718
1120.
6002
7058
692.
0677
4529
322.
9729
4266
2593.
1221
2649
log Γ(p−5)
763.
9098
6615
1117.
9056
6538
689.
5478
6679
320.
7245
0223
2590.
1184
5059
log Γ(p)
776.
7054
2382
1131.
3874
3853
702.
1603
1942
331.
9910
0950
2605.
1411
3005
log Γ(p+1)
779.
2681
1962
1134.
0864
0854
704.
6867
0846
334.
2515
3523
2608.
1469
5381
log Γ(p+2)
781.
8320
0254
1136.
7862
4626
707.
2143
8797
336.
5144
3818
2611.
1532
0586
log Γ(p+3)
784.
3970
6934
1139.
4869
4998
709.
7433
5414
338.
7797
0541
2614.
1598
8578
log Γ(p+4)
786.
9633
1681
1142.
1885
1796
712.
2736
0315
341.
0473
2411
2617.
1669
9317
log Γ(p+5)
789.
5307
4174
1144.
8909
4850
714.
8051
3124
343.
3172
8163
2620.
1745
2759
log Γ(p+6)
792.
0993
4096
1147.
5942
3988
717.
3379
3465
345.
5895
6543
2623.
1824
8862
log Γ(p+7)
794.
6691
1129
1150.
2983
9039
719.
8720
0965
347.
8641
6313
2626.
1908
7585
log Γ(p+8)
797.
2400
4958
1153.
0033
9835
722.
4073
5251
350.
1410
6245
2629.
1996
8886
log Γ(p+9)
799.
8121
5271
1155.
7092
6207
724.
9439
5956
352.
4202
5127
2632.
2089
2723
log Γ(p+10)
802.
3854
1755
1158.
4159
7985
727.
4818
2711
354.
7017
1758
2635.
2185
9055
Table VIII
Difference between
(λ) and
(λ).
λ
(λ)
0.620μ
03421
5254
0
0.625
2912
7976
81
8539
0.630
2457
4614
47429
2461
0.635
2055
3272
21453
6416
0.640
1704
5918
24897
4638
0.645
1402
2572
28632
5712
0.650
1144
5143
11131
2049
0.655
19270
7572
1270
8763
0.660
7454
5224
1309
4349
0.665
5951
7054
1281
7318
0.670
4719
3551
1215
8222
0.675
3717
4289
1114
5744
0.680
2909
4918
1002
5274
0.685
2263
0728
28846
7416
0.690
1749
7507
7663
4929
0.695
1345
0436
6522
7444
0.700
1028
1644
5460
8309
0.705
27816
9128
4501
8457
0.710
5911
9745
3658
3126
0.715
4448
6655
2933
7204
0.720
3331
1926
2323
7137
0.725
2482
6362
1819
6123
0.730
1841
7807
1409
8464
0.735
1360
3177
1081
6809
0.740
1000
4241
38223
8156
0.745
37327
0848
6199
8820
0.750
5344
9223
4637
6323
0.755
3883
9411
3443
9635
0.760
2811
7782
2540
3733
0.765
2028
2478
1862
1851
0.770
1457
9585
1357
1485
0.775
1044
4904
49837
5842
0.780
47458
4468
7095
2700
0.785
5309
1477
5093
5202
0.790
3767
7332
3640
5958
0.795
2665
9952
2591
5359
0.800
1881
0748
1837
7505
Table IX
Relative size of the correction term.
m
(Y/Km)A
(Y/Km)D
Y/Km
(D)/(A)
−1
0.19313
741
0.00110
165
0.19203
577
0.0057
0
0.10759
235
0.00073
884
0.10685
352
0.0069
1
0.06026
983
0.00049
600
0.05977
382
0.0082
2
0.03394
963
0.00033
331
0.03361
632
0.0098
3
0.01923
097
0.00022
419
0.01900
677
0.0117
Table X
Schedule for integration.
Z
X
Y
p
365.33880
500.000
B
182.19050
A
(p−m−1)
log q
2.2173
5390
2.3756
6361
2.0040
5039
log A
32.75260
54.51150
32.41380
log Γ(p−m−1)
−(p−m−1) log q
log (L/Km)
L/Km
p
336.0385
C
1013.50
D
(p−m−1)
log q
2.2990
8304
2.8318
9856
log A
69.59480
262.03010
log Γ(p−m−1)
−(p−m−1) log q
log (L/Km)
L/Km
XA=Z/4.570=X=XA+XC−XB
Y=YA−YD
Table XI
Equal-energy spectrum (m=0).
Z
X
Y
p
365.33880
500.000
B
182.19050
A
(p−m−1)
364.33880
499.000
181.19050
log q
2.2173
5390
2.3756
6361
2.0040
5039
log A
32.75260
54.51150
32.41380
log Γ(p−m−1)
774.14391
840
1128.68933
799
329.73287
408
−(p−m−1) log q
−807.86805
896
−1185.45614
339
−363.11489
270
log (L/Km)
9.02845
944−10
7.74469
460−10
9.03178
138−10
L/Km
0.0055551
348
0.10759
235
p
336.0385
C
1013.50
D
(p−m−1)
335.0385
1012.50
log q
2.2990
8304
2.8318
9856
log A
69.59480
262.03010
log Γ(p−m−1)
699.63522
470
2602.13573
502
−(p−m−1) log q
−770.28133
266
−2867.29728
775
log (L/Km)
8.94869
204−10
6.86854
727−10
L/Km
0.088857
797
0.00073884
XA=Z/4.570=0.02336
3744
X=XA+XC−XB
Y=YA−YD
Table XII
Blackbody radiation, a comparison of the Planck and Wien equations.
T (°K)
Planck
Z (ostwalds) Wien
Percent difference
Planck
Xc (munsells) Wien
Percent difference
Planck
YA (youngs) Wien
Percent difference
1000
494500
494500
0
125287
125287
0
114659
114659
0
1500
2.0149
2.0149
0
55.366
55.366
0
38.573
38.573
0
2000
326.03
326.03
0
2768.1
2768.1
0
2250.1
2250.1
0
2500
7135.5
7135.5
0
29583
29580
0.01
26952
26950
0.008
3000
56643
56641
0.004
144891
144841
0.03
143761
143721
0.028
3500
250581
250541
0.016
453041
452531
0.11
479941
479551
0.082
4000
767521
767191
0.043
106892
106612
0.26
119232
119002
0.20
4500
183812
183632
0.098
208962
207932
0.49
242932
242042
0.37
5000
370392
369672
0.19
358132
355142
0.83
430672
427952
0.63
6000
106433
105863
0.54
808792
794032
1.8
102413
100953
1.4
7000
227373
224843
1.1
145913
141233
3.2
191733
186803
2.6
8000
403813
395983
1.9
228893
217673
4.9
309193
296763
4.0
9000
634293
615353
3.0
327193
304843
6.8
451453
425723
5.7
10000
914513
875873
4.2
438253
399203
8.9
614893
568463
7.5
14000
242574
217454
10.4
971383
799453
17.7
142044
119824
15.7
20000
540904
430714
20.4
191594
134714
29.6
288334
210024
27.2
Note—Superscripts refer to number of zeros between the given figures and the decimal point. For instance, 250581=250580.
Table XIII
Calculation for Planckian radiation, T=14000°K.
log Zn=828.28376
626−(p+4) log (q+nC2/T),
(p+4)=369.33880,
q=164.95060, C2/T=1.0228
57142.
n
(q+nC2/T)
log (q+nC2/T)
(p+4) log (q+nC2/T)
log Zn
Zn
1
165.
97
34571
2.22003
86400
819.94640
725
8.33735
901
2.1744
980×108
2
166.
99
63143
2.22270
68859
820.93189
399
7.35187
227
2.2483
932×107
3
168.
01
91714
2.22535
88386
821.91136
302
6.37240
324
2.3572
369×106
4
169.
04
20286
2.22799
46957
822.88488
732
5.39887
894
2.5054
108×105
5
170.
06
48857
2.23061
46513
823.85253
857
4.43122
769
2.6991
541×104
6
171.
08
77429
2.23321
88967
824.81438
744
3.46937
882
2.9469
909×103
7
172.
11
06000
2.23580
76186
825.77050
288
2.51326
338
326.03
437×1
8
173.
13
34571
2.23838
10009
826.72095
282
1.56281
344
36.543
778
9
174.
15
63143
2.24093
92249
827.66580
420
0.61796
206
4.1491
780
10
175.
17
91714
2.24348
24677
828.60512
244
9.76786
438−10
0.58595
516
Z=2.4257
180×108
Table XIV
Planckian radiation.
T (°K)
1/T (mireds)
X (munsells)
Y (youngs)
Z (ostwalds)
1000
1000
1252
948
1134
395
4944
996
1023
977
1422
666
1227
210
3183
551
1125
888
0322
323
0182
430
2254
347
1143
875
0443
656
0253
336
2384
659
1200
833
1.15
911
0680
568
1133
424
1286
777
4.18
939
2.56
049
1705
159
1333
750
7.98
011
4.98
249
0162
570
1400
714
18.3
333
11.7
642
0585
955
1421
704
23.4
134
15.1
754
0656
317
1500
667
55.6
036
37.1
962
2.01
486
1556
643
97.0
509
66.3
027
4.14
918
1600
625
14.7
480
102
394
7.13
927
1740
571
519
527
379
277
36.5
438
1800
555
755
356
559
973
59.3
661
2000
500
281
2.39
220
2.97
326
034
2046
488
367
2.88
290
9.85
460
638
2222
450
924
4.33
761
8.78
152
0.36
2250
445
105
55.3
874
9.23
180
4.75
2333
429
154
29.9
129
97.9
294
6.99
2500
400
306
22.8
265
56.7
713
5.53
2667
375
559
24.2
497
30.3
154
96.3
2800
357
861
21.9
779
41.9
269
92.1
2842
352
978
71.1
890
30.4
318
08.2
2857
350
102
398
933
16.7
337
07.8
3000
333
153
506
142
131
566
42.9
3333
300
346
514
330
671
160
296
3500
286
492
209
475
429
250
578
4000
250
119
1241
118
2561
767
515
4500
222
238
6951
241
1701
183
8101
4667
214
291
5551
295
8541
236
0191
5000
200
418
7211
427
8251
370
3891
6000
167
986
0721
101
8202
106
4262
6667
150
152
4352
157
8402
180
9492
7000
143
184
1292
190
7312
227
3752
8000
125
297
2942
307
6892
403
8132
9000
111
435
2542
449
3792
634
2932
10000
100
594
7592
612
1902
914
5112
14000
71.4
139
0953
141
4803
242
5723
20000
50.0
285
8073
287
2713
540
9023
Note—The superscripts refer to the number of zeros between the given numbers and the decimal point. For instance, at T=1000, X=1252948=0.0252948. T=20000, X=2858073=285,807,000.