Abstract

For many purposes the Wien radiation law is a sufficiently close approximation to the Planck equation. When it is not, the subtraction in the denominator of the Planck equation interferes with logarithmic calculation. It has been found possible to construct a table which can be entered with the negative of the exponent of the Wien equation, expressed in terms of common (Briggsian) logarithms: c2 lge/(λT), to get the logarithmic correction to four significant figures. Moreover, the same table can be used if successive approximations are necessary.

© 1947 Optical Society of America

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References

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  1. E. Q. Adams and W. E. Forsythe, Denison Univ. Bulletin, J. Sci. Labs. 38, 52 (1943).
  2. E. Q. Adams, Rev. Sci. Inst. 4, 622 (1933).
    [Crossref]

1943 (1)

E. Q. Adams and W. E. Forsythe, Denison Univ. Bulletin, J. Sci. Labs. 38, 52 (1943).

1933 (1)

E. Q. Adams, Rev. Sci. Inst. 4, 622 (1933).
[Crossref]

Adams, E. Q.

E. Q. Adams and W. E. Forsythe, Denison Univ. Bulletin, J. Sci. Labs. 38, 52 (1943).

E. Q. Adams, Rev. Sci. Inst. 4, 622 (1933).
[Crossref]

Forsythe, W. E.

E. Q. Adams and W. E. Forsythe, Denison Univ. Bulletin, J. Sci. Labs. 38, 52 (1943).

Denison Univ. Bulletin, J. Sci. Labs. (1)

E. Q. Adams and W. E. Forsythe, Denison Univ. Bulletin, J. Sci. Labs. 38, 52 (1943).

Rev. Sci. Inst. (1)

E. Q. Adams, Rev. Sci. Inst. 4, 622 (1933).
[Crossref]

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Tables (1)

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Table I

Equations (906)

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lg W λ = lg c 1 5 lg λ c 2 lg e λ T + lg e ( 10 c 2 lg e / λ T + 1 2 10 2 c 2 lg e / λ T + 1 3 10 3 c 2 lg e / λ T + ) ,
lg ( 1 10 c 2 lg e / λ T ) lg e · 10 c 2 lg e / λ T .
lg [ lg ( 1 10 c 2 lg e / λ T ) ] lg lg e c 2 lg e λ T ,
c 2 lg e λ T lg lg e lg [ lg ( 1 10 c 2 lg e / λ T ) ] ,
n lg 10 n lg 10 n ,
n + c 2 lg e λ T lg lg e lg [ 10 n lg ( 1 10 c 2 lg e / λ T ) ] ,
1 ¯ .6378
1 ¯ .6335
1 ¯ .6292
1 ¯ .6249
1 ¯ .6208
1 ¯ .6166
1 ¯ .6125
1 ¯ .6084
1 ¯ .6044
1 ¯ .6004
1 ¯ .5964
1 ¯ .5925
1 ¯ .5886
1 ¯ .5847
1 ¯ .5809
1 ¯ .5771
1 ¯ .5733
1 ¯ .5696
1 ¯ .5659
1 ¯ .5622
1 ¯ .5586
1 ¯ .5550
1 ¯ .5514
1 ¯ .5479
1 ¯ .5444
1 ¯ .5409
1 ¯ .5374
1 ¯ .5340
1 ¯ .5306
1 ¯ .5272
1 ¯ .5238
1 ¯ .5205 +
1 ¯ .5172
1 ¯ .5139
1 ¯ .5107
1 ¯ .5075
1 ¯ .5042
1 ¯ .5011
1 ¯ .4979
1 ¯ .4948
1 ¯ .4917
1 ¯ .4886
1 ¯ .4855
1 ¯ .4824
1 ¯ .4794
1 ¯ .4764
1 ¯ .4734
1 ¯ .4705
1 ¯ .4675 +
1 ¯ .4646
1 ¯ .4617
1 ¯ .4588
1 ¯ .4559
1 ¯ .4531
1 ¯ .4503
1 ¯ .4475
1 ¯ .4447
1 ¯ .4419
1 ¯ .4391
1 ¯ .4364
1 ¯ .4337
1 ¯ .4310
1 ¯ .4283
1 ¯ .4256
1 ¯ .4229
1 ¯ .4203
1 ¯ .4177
1 ¯ .4151
1 ¯ .4125
1 ¯ .4099
1 ¯ .4073
1 ¯ .4048
1 ¯ .4023
1 ¯ .3997
1 ¯ .3972
1 ¯ .3947
1 ¯ .3923
1 ¯ .3898
1 ¯ .3874
1 ¯ .3849
1 ¯ .3825 +
1 ¯ .3801
1 ¯ .3777
1 ¯ .3753
1 ¯ .3730
1 ¯ .3706
1 ¯ .3683
1 ¯ .3659
1 ¯ .3636
1 ¯ .3613
1 ¯ .3590
1 ¯ .3568
1 ¯ .3545
1 ¯ .3522
1 ¯ .3500
1 ¯ .3477
1 ¯ .3455 +
1 ¯ .3433
1 ¯ .3411
1 ¯ .3389
1 ¯ .3368
1 ¯ .3346
1 ¯ .3324
1 ¯ .3303
1 ¯ .3282
1 ¯ .3260
1 ¯ .3239
1 ¯ .3218
1 ¯ .3197
1 ¯ .3176
1 ¯ .3156
1 ¯ .3135 +
1 ¯ .3114
1 ¯ .3094
1 ¯ .3074
1 ¯ .3053
1 ¯ .3033
1 ¯ .3013
1 ¯ .2993
1 ¯ .2973
1 ¯ .2954
1 ¯ .2934
1 ¯ .2914
1 ¯ .2895
1 ¯ .2875 +
1 ¯ .2856
1 ¯ .2837
1 ¯ .2818
1 ¯ .2798
1 ¯ .2779
1 ¯ .2761
1 ¯ .2742
1 ¯ .2723
1 ¯ .2704
1 ¯ .2686
1 ¯ .2667
1 ¯ .2649
1 ¯ .2630
1 ¯ .2612
1 ¯ .2594
1 ¯ .2576
1 ¯ .2558
1 ¯ .2540
1 ¯ .2522
1 ¯ .2504
1 ¯ .2486
1 ¯ .2468
1 ¯ .2451
1 ¯ .2433
1 ¯ .2416
1 ¯ .2398
1 ¯ .2381
1 ¯ .2364
1 ¯ .2347
1 ¯ .2330
1 ¯ .2312
1 ¯ .2295 +
1 ¯ .2279
1 ¯ .2262
1 ¯ .2245
1 ¯ .2228
1 ¯ .2211
1 ¯ .2195
1 ¯ .2178
1 ¯ .2162
1 ¯ .2145 +
1 ¯ .2129
1 ¯ .2113
1 ¯ .2096
1 ¯ .2080
1 ¯ .2064
1 ¯ .2048
1 ¯ .2032
1 ¯ .2016
1 ¯ .2000
1 ¯ .1985
1 ¯ .1969
1 ¯ .1953
1 ¯ .1937
1 ¯ .1922
1 ¯ .1906
1 ¯ .1891
1 ¯ .1875 +
1 ¯ .1860
1 ¯ .1845
1 ¯ .1829
1 ¯ .1814
1 ¯ .1799
1 ¯ .1784
1 ¯ .1769
1 ¯ .1754
1 ¯ .1739
1 ¯ .1724
1 ¯ .1709
1 ¯ .1694
1 ¯ .1680
1 ¯ .1665
1 ¯ .1650 +
1 ¯ .1636
1 ¯ .1621
1 ¯ .1607
1 ¯ .1592
1 ¯ .1578
1 ¯ .1563
1 ¯ .1549
1 ¯ .1535
1 ¯ .1521
1 ¯ .1506
1 ¯ .1492
1 ¯ .1478
1 ¯ .1464
1 ¯ .1450 +
1 ¯ .1436
1 ¯ .1422
1 ¯ .1409
1 ¯ .1395
1 ¯ .1381
1 ¯ .1367
1 ¯ .1354
1 ¯ .1340
1 ¯ .1326
1 ¯ .1313
1 ¯ .1299
1 ¯ .1286
1 ¯ .1272
1 ¯ .1259
1 ¯ .1246
1 ¯ .1232
1 ¯ .1219
1 ¯ .1206
1 ¯ .1193
1 ¯ .1180
1 ¯ .1166
1 ¯ .1153
1 ¯ .1140
1 ¯ .1127
1 ¯ .1114
1 ¯ .1102
1 ¯ .1089
1 ¯ .1076
1 ¯ .1063
1 ¯ .1050 +
1 ¯ .1038
1 ¯ .1025
1 ¯ .1012
1 ¯ .1000
1 ¯ .0987
1 ¯ .0975
1 ¯ .0962
1 ¯ .0950
1 ¯ .0937
1 ¯ .0925
1 ¯ .0912
1 ¯ .0900
1 ¯ .0888
1 ¯ .0876
1 ¯ .0863
1 ¯ .0851
1 ¯ .0839
1 ¯ .0827
1 ¯ .0815
1 ¯ .0803
1 ¯ .0791
1 ¯ .0779
1 ¯ .0767
1 ¯ .0755
1 ¯ .0743
1 ¯ .0731
1 ¯ .0719
1 ¯ .0708
1 ¯ .0696
1 ¯ .0684
1 ¯ .0672
1 ¯ .0661
1 ¯ .0649
1 ¯ .0638
1 ¯ .0626
1 ¯ .0614
1 ¯ .0603
1 ¯ 0591
1 ¯ .0580
1 ¯ .0569
1 ¯ .0557
1 ¯ .0546
1 ¯ .0535
1 ¯ .0523
1 ¯ .0512
1 ¯ .0501
1 ¯ .0490
1 ¯ .0478
1 ¯ .0467
1 ¯ .0456
1 ¯ .0445
1 ¯ .0434
1 ¯ .0423
1 ¯ .0412
1 ¯ .0401
1 ¯ .0390
1 ¯ .0379
1 ¯ .0368
1 ¯ .0357
1 ¯ .0346
1 ¯ .0336
1 ¯ .0325
1 ¯ .0314
1 ¯ .0303
1 ¯ .0293
1 ¯ .0282
1 ¯ .0271
1 ¯ .0261
1 ¯ .0250 +
1 ¯ .0239
1 ¯ .0229
1 ¯ .0218
1 ¯ .0208
1 ¯ .0197
1 ¯ .0187
1 ¯ .0176
1 ¯ .0166
1 ¯ .0156
1 ¯ .0145 +
1 ¯ .0135 +
1 ¯ .0125
1 ¯ .0114
1 ¯ .0104
1 ¯ .0094
1 ¯ .0084
1 ¯ .0074
1 ¯ .0063
1 ¯ .0053
1 ¯ .0043
1 ¯ .0033
1 ¯ .0023
1 ¯ .0013
1 ¯ .0003
2 ¯ .9993
2 ¯ .9983
2 ¯ .9973
2 ¯ .9963
2 ¯ .9953
2 ¯ .9943
2 ¯ .9933
2 ¯ .9924
2 ¯ .9914
2 ¯ .9904
2 ¯ .9894
2 ¯ .9884
2 ¯ .9875
2 ¯ .9865 +
2 ¯ .9855 +
2 ¯ .9846
2 ¯ .9836
2 ¯ .9826
2 ¯ .9817
2 ¯ .9807
2 ¯ .9798
2 ¯ .9788
2 ¯ .9778
2 ¯ .9769
2 ¯ .9760
2 ¯ .9750 +
2 ¯ .9741
2 ¯ .9731
2 ¯ .9722
2 ¯ .9713
2 ¯ .9703
2 ¯ .9694
2 ¯ .9685
2 ¯ .9675 +
2 ¯ .9666
2 ¯ .9657
2 ¯ .9648
2 ¯ .9638
2 ¯ .9629
2 ¯ .9620
2 ¯ .9611
2 ¯ .9602
2 ¯ .9593
2 ¯ .9584
2 ¯ .9574
2 ¯ .9565 +
2 ¯ .9556
2 ¯ .9547
2 ¯ .9538
2 ¯ .9529
2 ¯ .9520
2 ¯ .9511
2 ¯ .9503
2 ¯ .9494
2 ¯ .9485
2 ¯ .9476
2 ¯ .9467
2 ¯ .9458
2 ¯ .9449
2 ¯ .9441
2 ¯ .9432
2 ¯ .9423
2 ¯ .9414
2 ¯ .9406
2 ¯ .9397
2 ¯ .9388
2 ¯ .9379
2 ¯ .9371
2 ¯ .9362
2 ¯ .9354
2 ¯ .9345
2 ¯ .9336
2 ¯ .9328
2 ¯ .9319
2 ¯ .9311
2 ¯ .9302
2 ¯ .9294
2 ¯ .9285 +
2 ¯ .9277
2 ¯ .9268
2 ¯ .9260
2 ¯ .9251
2 ¯ .9243
2 ¯ .9235
2 ¯ .9226
2 ¯ .9218
2 ¯ .9209
2 ¯ .9201
2 ¯ .9193
2 ¯ .9185
2 ¯ .9176
2 ¯ .9168
2 ¯ .9160
2 ¯ .9152
2 ¯ .9143
2 ¯ .9135 +
2 ¯ .9127
2 ¯ .9119
2 ¯ .9111
2 ¯ .9102
2 ¯ .9094
2 ¯ .9086
2 ¯ .9078
2 ¯ .9070
2 ¯ .9062
2 ¯ .9054
2 ¯ .9046
2 ¯ .9038
2 ¯ .9030
2 ¯ .9022
2 ¯ .9014
2 ¯ .9006
2 ¯ .8998
2 ¯ .8990
2 ¯ .8982
2 ¯ .8974
2 ¯ .8966
2 ¯ .8958
2 ¯ .8951
2 ¯ .8943
2 ¯ .8935
2 ¯ .8927
2 ¯ .8919
2 ¯ .8912
2 ¯ .8904
2 ¯ .8896
2 ¯ .8888
2 ¯ .8880
2 ¯ .8873
2 ¯ .8865 +
2 ¯ .8857
2 ¯ .8850
2 ¯ .8842
2 ¯ .8834
2 ¯ .8827
2 ¯ .8819
2 ¯ .8811
2 ¯ .8804
2 ¯ .8796
2 ¯ .8789
2 ¯ .8781
2 ¯ .8774
2 ¯ .8766
2 ¯ .8759
2 ¯ .8751
2 ¯ .8744
2 ¯ .8736
2 ¯ .8729
2 ¯ .8721
2 ¯ .8714
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2 ¯ .8699
2 ¯ .8691
2 ¯ .8684
2 ¯ .8677
2 ¯ .8669
2 ¯ .8662
2 ¯ .8655
2 ¯ .8647
2 ¯ .8640
2 ¯ .8633
2 ¯ .8625 +
2 ¯ .8618
2 ¯ .8611
2 ¯ .8604
2 ¯ .8596
2 ¯ .8589
2 ¯ .8582
2 ¯ .8575
2 ¯ .8567
2 ¯ .8560
2 ¯ .8553
2 ¯ .8546
2 ¯ .8539
2 ¯ .8532
2 ¯ .8525
2 ¯ .8517
2 ¯ .8510
2 ¯ .8503
2 ¯ .8496
2 ¯ .8489
2 ¯ .8482
2 ¯ .8475
2 ¯ .8468
2 ¯ .8461
2 ¯ .8454
2 ¯ .8447
2 ¯ .8440
2 ¯ .8433
2 ¯ .8426
2 ¯ .8419
2 ¯ .8412
2 ¯ .8405 +
2 ¯ .8398
2 ¯ .8391
2 ¯ .8384
2 ¯ .8378
2 ¯ .8371
2 ¯ .8364
2 ¯ .8357
2 ¯ .8350 +
2 ¯ .8343
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2 ¯ .8330
2 ¯ .8323
2 ¯ .8316
2 ¯ .8309
2 ¯ .8302
2 ¯ .8296
2 ¯ .8289
2 ¯ .8282
2 ¯ .8276
2 ¯ .8269
2 ¯ .8262
2 ¯ .8255 +
2 ¯ .8249
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2 ¯ .8229
2 ¯ .8222
2 ¯ .8215 +
2 ¯ .8209
2 ¯ .8202
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2 ¯ .8189
2 ¯ .8182
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2 ¯ .8169
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2 ¯ .7896
2 ¯ .7890
2 ¯ .7884
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2 ¯ .7871
2 ¯ .7865 +
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2 ¯ .7835
2 ¯ .7829
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2 ¯ .7686
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2 ¯ .7650 +
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2 ¯ .7627
2 ¯ .7621
2 ¯ .7616
2 ¯ .7610
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2 ¯ .7581
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2 ¯ .7570
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2 ¯ .7541
2 ¯ .7536
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2 ¯ .6417
2 ¯ .6413
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2 ¯ .6400
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