DEPARTMENT OF COMMERCE

BUREAU OF STANDARDS

George K. Burgess, Director

TABLES OF SPECTRAL ENERGY DISTRIBUTION

AND LUMINOSITY FOR USE IN COMPUTING

LIGHT TRANSMISSIONS AND RELATIVE

BRIGHTNESSES FROM SPECTROPHOTOMETRY DATA

By J. F. Skogland

MISCELLANEOUS PUBLICATION OF THE BUREAU OF STANDARDS, No. 86

DEPARTMENT OF COMMERCE

BUREAU OF STANDARDS

George K. Burgess, Director

MISCELLANEOUS PUBLICATION No. 86

TABLES OF SPECTRAL ENERGY DISTRIBUTION

AND LUMINOSITY FOR USE IN COMPUTING

LIGHT TRANSMISSIONS AND RELATIVE

BRIGHTNESSES FROM SPECTROPHOTOMETRY DATA

PRICE 10 CENTS

Sold only by the Superintendent of Documents, U. S. Government Printing Office Washington, D. C.

BY

J. F. SKOGLAND, Associate Physicist Bureau of Standards

JANUARY 7, 1929

UNITED STATES

GOVERNMENT PRINTING OFFICE WASHINGTON

1929
1
TABLES OF SPECTRAL ENERGY DISTRIBUTION AND

LUMINOSITY FOR USE IN COMPUTING LIGHT TRANSMISSIONS AND RELATIVE BRIGHTNESSES FROM SPECTROPHOTOMETRY DATA

By J. F. Skogland

t INTRODUCTION

The tables of this publication are in form for direct use in computations involving radiated energy and luminosity of a radiator

within the range of color temperatures corresponding to that of tungsten lamps employed in experimental work (2,000° to 3,120° K.).

This is a limited temperature range, far smaller than that covered

by curves of energy distribution such as Frehafer and Snow have

presented in a previous publication. 1 It is because of this limited

range that values at closer temperature intervals could be tabulated.

This interval is here 20° K. for the energy tables; that of the Frehafer

and Snow tables is 200° K. within the range 2,000° to 3,200° K.

Between the values tabulated at 20° intervals in the present publication (Table 1) direct linear interpolation yields precise values at other

included temperatures. These and the other tables give all of the

data in compact form without requiring reference to curves. Table 2 presents for the first time luminosity values relative to the maximum at each temperature in steps of 80° K. throughout the

temperature range. At similar intervals Table 3 gives luminosity values so adjusted

that the area of each complete curve within the wave length limits

0.40 to 0.76 n (the practical visible range) is unity. It was found

practicable to simplify somewhat the method of Buckley and

Brookes,2 who derived unit areas and tabulated results at a few

temperatures. These modified values of luminosity are designated

" luminosity factors" because they are used as multipliers of values

of spectral transmission at the corresponding wave lengths to obtain

elements of light transmission. The integral light transmission is

i Tables and Graphs for Facilitating Computations of Spectral Energy Distribution by Planck's Formula; Bureau of Standards Misc. Pub. No. 56; 1925. Temperature range, 1,000° to 28,000° K.; 6=14,350 n deg.

* The Illuminating Engineer (London), 18, p. 239, 1925. 1
2 BUREAU OF STANDARDS

obtained by summation of these elements without further computation. This procedure evaluates the equation

2JX VJX .A\

with denominator unity, approximating with more than requisite

precision the general equation

rp_ fJxVxh.dk

1 fJxVx -d\

Omitting the symbol of summation, the denominator is a luminosity

element of the radiation of the source and the numerator a corre- sponding element of the transmitted light.

II. CONSTANTS USED IN THE COMPUTATIONS

The value assigned to constant C2 of the Planck radiation equation (14,330 p. deg.), which was used directly in computing the values

of Table 1, expressed relative to the energy at wave length 0.59 //, corresponds to that of the International Critical Tables (vol. 1, p. 18).

The value there given is 1.433 cm deg. The values of relative visi- bility chosen for computations of relative luminosity and the derived

luminosity factors are those tabulated on page 67 of the minutes of the 1924 meeting of the International Commission on Illumination.3 These constants are, therefore, those at present having practically

the authority of international agreement. It is true, however, that some laboratories employ other values of C2

. To embody individually all of these values is obviously impracticable, but Table 4 is given

for use in making adjustments of the values in Tables 1 and 3 to con- form to any value of C2 between 14,300 and 14,360, or by which an

appraisal of the effect of such modification may be easily made.

Although the relative energy at wave lengths from 0.32 to 0.39 n has no significance in computations of luminosity, it was felt that the

corresponding energy values might be useful in some other problems.

For this reason Table 1 includes those wave lengths.

III. SUPPLEMENTARY DATA

The constant of Wien's displacement law, which changes with C2 , has been precisely determined as 2886.3 jjl deg. for 6^=14,330.

Under Table 2 the wave lengths corresponding to maximum luminosity are given. Under Table 3 the centroid axes are specified and

also the maximum value of the factors.

3 Recueil des Travauxet Compte Rendu des Seances, Commission Internationale de L'Eclairage, Geneva,

1924, Cambridge 1926. See also Trans. I. E. S., 20, p. 629; July 1925; for the adoption of these values of visibility by the Illuminating Engineering Society. The experimental basis for these values is given in detail in B. S. Sci. Paper No. 475, Visibility of Radiant Energy, by K. S. Gibson and E. P. T. Tyndall.
TABLES FOR COMPUTING TRANSMISSION 3

IV. EFFECT OF CHANGING C2 AND VISIBILITY DATA

In determinations of light transmission or reflection the effect of

changing C2 within the limits given in Section II above is not very

pronounced, the change in transmission generally being less than

the uncertainty inherent in direct measurements such as are practicable on the flicker photometer and usually less precisely made on

equal brightness or contrast instruments if the color difference is large. The choice of different visibility values, however, may produce

a marked effect, because of corresponding changes in luminosity,

particularly for a restricted range of spectral transmission. For ex- ample, use of the Coblentz-Emerson 4 visibility data obtained on the

flicker photometer to obtain the transmission of a medium red filter opaque below \ = 0.60 n resulted in a value of light transmission about

6 per cent higher than that derived from the data of this publication.

This result, however, probably does not conform to the true status of

flicker photometer results, because the conditions of observation

adopted by Coblentz and Emerson were not the ones prescribed as standard for that photometer.

V. ACCURACY OF TABULATED VALUES

Although some parts of the energy table were interpolated, an extra decimal was usually carried to preserve an accuracy equivalent to that

of the directly computed values. These interpolations were made

systematically by halves within the range of negligible fourth differ- ences, employing Bessel's coefficients (0 for third difference) except near the ends of the table, where binomial coefficients were used for

the lower values only. Near the upper limits outside of the range of mean differences required for Bessel's factors it was found simplest to compute most of the values directly. A difference of one in the final decimal may sometimes occur in case the computed value falls near

the half in the next decimal, but it was not deemed advisable, as these

are not, strictly speaking, mathematical tables, to investigate these

values to decide on the final decimal. In general, therefore, the

values of Table 1 are correct to the final decimal, with an occasional

difference of one in that place.

The values in Tables 2 and 3 were individually computed, and any

lack of perfect smoothness there must be attributed to the rounding

of visibility values as they appear in the tables referred to in footnote

3, page 2. By maintaining throughout a degree of accuracy somewhat higher

than may be necessary at the present time these tables should possess

the quality of permanence in application as a whole or in part to such

problems as may arise even under possible future refinements of measurement.

* Relative Sensibility of the Eye to Light of Different Colors; B. S. Sci. Paper No. 303; 1917.
TABLES OF SPECTRAL ENERGY DISTRIBUTION AND LUMINOSITY

FOR USE IN COMPUTING LIGHT TRANSMISSIONS AND RELATIVE

BRIGHTNESSES FROM SPECTROPHOTOMETRY DATA

Table 1.

Relative J\, based on J at X—0.59 fx = 590m n At 0.59 n actual values of are given. In these computations the Planck

radiation equation was employed. This equation is

in which J\ is the intensity of the energy at wave length X, X is the wave-length in microns (/z), e is the Naperian base, 2.71828 9 is the black-body temperature in °K. C2 = 14,330 fx deg.

(Ci = 3.703 X 10~5 erg. sec. per sq. cm, not used in computing rela- tive values.) Constants C\ and C2 are those of the International Critical Tables. Example.—At color temperature 2,296° K. and X = 0.65 /x, the energy radiated

relative to that at 0.59 n is 1.6473-0.8 (.0140) = 1.6361. 4
TABLES FOR COMPUTING TRANSMISSION 5

. Table 1.

Relative J\, based on J at \=0.b~9 n=590 mix—Continued

o aaao XT' Ull. Ull. 2,U4U Ji.. Ull. 2,UoO Jv. Ull. O AQflO XT' Ull. O 1 Af^O 17" 2,100 K.

32 0. 00075 g 0. 00084 8 0. 00092 10 0. 00102 10 0. 00112 11 0. 00123

!33 .' 00128 13 . 00141 14 . 00155 14 169 16 185 17 202

.34 209 19 228 21 249 22 271 23 294 25 319

.35

* 328 29 357 30 387 32 419 34 453 35 488

.36 505 40 545 42 587 46 633 47 680 51 731

.37 75 6 81 6 87 6 93 7 . 0100 7 . 0107

!38 .0110 7 .0117 8 .0125 8 .0133 9 142 9 151 .39 156 10 166 11 177 11 188 11 199 12 211

.40 218 13 231 13 244 14 258 14 272 15 287

.41 299 16 315 17 332 17 349 17 366 19 385

42 402 20 422 20 442 21 463 21 484 23 507

!43 530 25 555 25 580 25 605 26 631 27 658

.44 690 29 719 30 749 30 779 30 809 32 841

.45 886 34 920 34 954 35 989 35 . 1024 36 . 1060

.46 .1122 38 . 1160 40 . 1200 40 . 1240 40 . 1280 41 . 1321

. 47 1403 44 . 1447 44 . 1491 45 . 1536 45 . 1581 46 . 1627

!48 .1735 48 . 1783 49 .1832 49 .1881 50 .1931 50 . 1981 .49 .2123 52 . 2175 51 . 2228 53 .2281 54 . 2335 54 .2389

.50 .2571 56 . 2627 56 . 2683 56 . 2739 57 . 2796 56 .2852

.51 .3084 58 . 3142 59 . 3201 58 . 3259 59 . 3318 59 . 3377

52 .3667 60 .3727 60 .3787 59 .3846 59 . 3905 59 . 3964

.53 .4323 59 .4382 59 .4441 59 .4500 58 . 4558 58 .4616

.54 . 5058 56 . 5114 56 . 5170 56 . 5226 55 . 5281 55 . 5336

.55 . 5873 51 . 5924 51 . 5975 51 6026 50 . 6076 49 .6125

.56 .6773 45 . 6818 43 . 6861 43 .6904 41 . 6945 41 . 6986

. 57 . 7760 33 . 7793 32 . 7825 32 . 7857 31 . 7888 31 . 7919

.'58 .8835 18 . 8853 18 .8871 18 .8889 17 . 8906 17 .8923

.59 . 00007441 . 00008392 . 00009442 . 00010599 . 00011871 . 00013268

.60 1. 1256 22 1. 1234 22 1. 1212 22 1. 1190 21 1. 1169 21 1. 1148

.61 1. 2605 50 i. 2555 48 1. 2507 48 1. 2459 46 1. 2413 45 1. 23f8

.62 1. 4044 81 1. 3963 79 1. 3884 77 1. 3807 76 1.3731 74 1. 3C57

.63 1. 5575 118 1. 5457 115 1. 5342 113 1. 5229 109 1. 5120 106 1. 5014

.64 1. 7195 160 1, 7035 155 1,6880 153 1. 6727 148 1. 6579 144 1. 6435

.65 1. 8903 208 1. 8695 201 1. 8494 196 1. 8298 191 1. 8107 185 1. 7922

.66 2. 0698 262 2. 0436 253 2. 0183 246 1. 9937 238 1. 9699 231 1. 9468

.67 2. 2576 321 2. 2255 310 2. 1945 301 2. 1644 292 2. 1352 283 2. 1069 .68 2. 4534 386 2. 4148 373 2. 3775 362 2. 3413 349 2. 3064 837 2. 2727

.69 2. 6570 457 2. 6113 442 2. 5671 427 2. 5244 413 2. 4831 397 2. 4434

70 536 2. 8143 515 2. 7628 498 2 7130 480 2. 0650 461 2. 6189

.71 3. 086 62 3.024 596 2. 9644 574 2. 9070 553 2. 8517 531 2. 7986

.72 3. 310 71 3.239 68 3. 171 65 3. 106 63 3.043 607 2. 9823

.73 3. 541 80 3. 461 78 3. 383 74 3. 309 71 3. 238 69 3. 169

.74 3. 777 90 3.687 87 3. 600 84 3. 516 80 3. 436 76 3. 360

.75 4. 019 101 3. 918 97 3. 821 93 3. 728 90 3. 638 85 3. 553

.76 4.265 113 4. 152 108 4. 044 103 3. 941 99 3. 842 94 3. 748
G • BUREAU OF STANDARDS

Table 1.

Relative J\, based on J at \=0.59 n=590 mn—Continued

X in n 2,100° K. Dif. 2,120° K. Dif. 2,140° K. Dif. 2,160° K. Dif. 2,180° K. Dit 2,200° K.

0. 32 0. 00123 12 0. 00135 13 0. 00148 14 0. 00162 15 0. 00177 15 0. 00192

. 33 202 18 220 iy OQO 20 259 22 281 noZO 304

.34 319 27 346 28 374 30 404 32 436 33 469 .35 488 37 526 40 566 42 608 45 653 47 700 .36 731 52 783 56 839 58 897 60 957 63 .0102

.37 .0107 7 .0114 7 .0121 8 .0129 8 .0137 8 145

. 38 151 10 161 10 171 10 181 11 192 11 203 .39 211 12 223 12 235 13 248 14 262 14 276 .40 287 15 302 16 318 16 334 17 351 18 369

.41 385 19 404 19 423 20 443 21 464 21 485 .42 507 23 530 23 553 24 577 25 602 26 628

• 43 658 685 28 713 OG-o OQ ou oUU

.44 841 32 873 32 905 33 938 34 972 34 .1006 .45 .1060 37 .1097 37 .1134 38 .1172 38 .1210 39 .1249 .46 .1321 42 .1363 42 .1405 42 .1447 43 .1490 43 .1533 .47 .1627 46 .1673 46 .1719 47 .1766 47 .1813 48 .1861

. 48 . 1981 50 . 2031 50 onc^j . ZUOO 50 . 2133 01 01 .49 .2389 54 .2443 54 .2497 54 .2551 54 .2605 55 .2660 .50 .2852 56 .2909 57 .2966 57 .3023 57 .3080 56 .3136

.51 .3377 58 .3435 58 .3493 59 .3552 58 .3610 58 .3667 .52 .3964 59 .4023 58 .4081 58 .4139 58 .4197 57 .4254

. 53 . 4616 57 . 4673 57 A7QA 57 . 4787 56 00 4COO. .54 .5336 54 .5390 54 .5444 53 .5497 53 .5550 62 .5602

.55 .6125 49 .6174 49 .6223 48 .6271 47 .6318 47 .6365 .56 .6986 41 .7027 41 .7068 40 .7108 39 .7147 39 .7186 .57 .7919 30 .7949 30 .7979 29 .8008 29 .8037 29 .8066

. 58 . 8923 17 . 8940 17 cor. 7 16 . 8973 17 . 8990 16 . 9006 .59 . 00013268 . 00014797 . 00016469 . 00018294 . 00020282 . 00022444 .60 1. 1148 20 1.1128 20 1. 1108 19 1. 1089 19 1. 1070 19 1. 1051 .61 1. 2368 44 1. 2324 43 1.2281 42 1. 2239 42 1. 2197 40 1. 2157 .62 1. 3657 72 1. 3585 70 1. 3515 69 1. 3446 67 1. 3379 65 1. 3314

. 63 1. 5014 104 1. 4910 101 1. 4809 99 1. 4710 96 1. 4614 1. 4520

.64 1. 6435 139 1.6296 136 1. 6160 132 1.6028 129 1. 5899 126 1. 5773 .65 1. 7922 180 1. 7742 175 1. 7567 170 1. 7397 165 1.7232 161 1. 7071 .66 1. 9468 225 1. 9243 218 1. 9025 211 1. 8814 205 1. 8609 199 1. 8410

.67 2. 1069 272 2. 0797 264 2. 0533 256 2. 0277 247 2.0028 242 1. 9786

. 68 2. 2727 326 2. 2401 315 2. 2UoD 305 2. 1781 296 2. 1485 286 2. 1199 .69 2. 4434 383 2. 4051 370 2. 3681 357 2. 3324 347 2. 2977 336 2.2641 .79 2. 6189 445 2. 5744 429 2. 5315 415 2. 4900 402 2. 4498 388 2. 4110

.71 2. 7986 511 2. 7475 492 2. 6983 475 2. 6508 458 2. 6050 442 2. 5608 .72 2. 9823 582 2. 9241 559 2. 8682 539 2. 8143 521 2. 7622 502 2.7120

.73 3.169 65 3. 104 63 3. 041 609 2. 9801 585 2. 9216 564 2. 8652 .74 3. 360 74 3. 286 70 3. 216 68 3. 148 65 3. 083 63 3. 020

.75 3. 553 82 3. 471 78 3. 393 75 3. 318 73 3.246 70 3. 176 .76 3. 748 90 3. 658 87 3. 571 83 3.488 80 3.408 76 3. 332
TABLES FOR COMPUTING TRANSMISSION 7

Table 1.

-Relative J\, based on J at \=0.59 ix—590 mix-—Continued

X in n 2,200 °K. Dif. 2,220 °K. Dif. 2,240 °K. Dif. 2,268 °K. Dif. 2,280 °K. Dif. 2 300 °TT

0. 32 0. 00192 17 0. 00209 18 0. 00227 19 0. 00246 20 0. 00266 —

22 0. 00288

.33 304 25 329 27 356 28 384 30 414 31 445

. 34 469 35 504 38 542 40 582 42 624 44 668

. 35 700 50 Ten / OU 52 802 56 858 58 916 61 977

. 00 . 0102 7 r»i no 7 . UllO 7 . 012o 8 . 0131 8 . 0139

.37 145 9 154 9 163 10 173 10 183 10 193 .38 203 11 214 12 226 12 238 13 251 13 264

. 39 276 14 290 15 305 15 320 16 336 16 352

An . 40 ooy 18 08/ 18 An*. 1UO 19 424 19 443 20 463

At

• 41 485 onZZ 507 oozz 529 OQ. 00^ OQ 575 24 599

.42 628 26 654 26 680 27 707 27 734 28 762

.43 800 30 830 31 , 861 31 892 32 924 32 956

. 44 . 1006 00 . 1041 oo 1 fl7A

. 1U/0 OO . 1112 36 . 1148 37 . 1185

. 10 1 249 oy . 1Zoo An4U 40 . 1368 41 . 1409 41 . 1450

. TOiR 1533 44 1577 4/1 44 1621 44 1665 At, 40 1 7i n . it

w

45 .1/55

.47 !l861 48 !l909 48 !l957 48 !2005 49 . 2054 49 .2103

.48 .2235 51 .2286 52 .2338 52 .2390 52 .2442 52 .2494

. to . 2660 54 071 A . Zl 14 55 . 2769 00 . 2824 55 . 2879 55 . 2934

. 50 . 3136 57 . 3193 K707 . 3249 K767 . 3306 57 .3363 57 . 3420

51 3667 08 3725 57 3782 oo 3840 57 3897 01 . 0904

!52 '. 4254 57 !4311 57 '. 4368 57 !4425 57 !4482 56 .4538

.53 .4899 56 .4955 55 .5010 55 .5065 54 .5119 54 .5173

KA . 0€ . 5602 52 . 5654 51 . 5705 51 . 5756 50 . 5806 50 . 5856

. 55 . 6365 46 . 6411 45 . 6456 45 . 6501 45 . 6546 44 . 6590

KR . oo . / 100 O.C oo . 7/24 oooo . • 2bA oo „. <o00 o7 .loot

_oo

TO TO

. 7o7o

.57 .8066 28 .8094 28 .8122 28 .8150 27 .8177 27 . 8204 .58 .9006 16 .9022 15 .9037 15 .9052 14 .9066 14 .9080

59 0009*1700 nnn^onQQ . UUUOUUoo . UUUoOuuo nnnQG070 . U'JUoo«7(5

. 60 1. 1051 10lo 1. 1033 18lo 1. 1015 18 1. 0997 17 1. 0980 17 1. 0963

. 01 1. ZIOI QOoy

1 01 no

1. 210o oy i. 20 /y oo

i an/1

1. 2041 Q7 1. 2004 00 1. 19oo .62 t 3314 63 1. 3251 62 1. 3189 61 1.3128 60 1. 3068 59 1. 3009

.63 L 4520 91 1. 4429 89 1. 4340 87 1. 4253 85 1. 4168 83 1. 4085

. 64 1. 5773 122 1. 5651 119 1. 5532 116 1. 5416 113 1. 5303 110 1. 5193

. 65 1. 7071 156 1. 6915 152 1. 6763 147 1. 6616 143 1. 6473 140 1. 6333

RR . 00 1. o*iu iyo 1. 821 / loo 1. 8029 182 1. 7847 177 1 / / 1. 7670 170 1 / z1 7-4 QQ i. /iyo .67 1. 9786 234 1. 9552 226 1. 9326 219 1. 9107 213 1. 8894 208 1. 8686 .68 2. 1199 277 2. 0921 269 2. 0652 261 2. 0391 251 2. 0140 245 1.9895

.69 2.2641 325 2.2316 314 2. 2002 303 2. 1699 294 2. 1405 285 2. 1120 .70 2. 4110 2. 3735 362 2. 3373 349 2. 3024 337 2. 2687 326 2. 2361 .71 2. 5608 427 2. 5181 412 2. 4769 399 2. 4370 385 2. 3985 372 2. 3613 .72 2. 7120 484 2. 6636 467 2. 6169 448 2. 5721 432 2. 5289 417 2. 4872

.73 2. 8652 543 2. 8109 522 2. 7587 502 2. 7085 485 2. 6602 466 2. 6136

.74 3. 020 607 2. 9593 581 2. 9012 557 2. 8455 536 2. 7919 516 2. 7403 .75 3. 176 67 3.109 64 3. 045 614 2. 9836 594 2. 9242 572 2. 8670 .76 3. 332 74 3.258 70 3. 188 68 3.120 65 3. 055 619 2. 9931 8912°—29 2
8 BUREAU OF STANDARDS

Table 1.

Relative J\, based on J at \=0.59 fi=590 mn—Continued

X in n 2, 300 °K. Dif. 2,320 °K." Dif. 2, 340 °K. Dif. 2,360 °K. Dif. 2, 380 °K. Dif. 2 400 °K.

0.32 0.00288 23 0. 00311 23 0. 00336 25 0. 00361 27 0. 00388 29 0.00417

629 .33 445 33 478 35 513 37 550 39 589 40

. 34 668 46 714 49 763 51 Ol A CO00 887 56 923

] 35 977 63 . 0104 g . 0110 0117 7I . Ul/4 8 . 0132

. 36 . 0139 g 147 g 156 g 165 g 1<4 10 184 !37 193 11 204 11 215 12 227 12 239 12 251 .38 264 13 277 14 291 15 306 15 321 15 336

. 39 352 17 369 17 OOO i e 404 iy 423 19 442

'. 40 463 20 483 21 504 22 OZO 22 548 23 571

. 41 599 24 623 25 648 26 674 OA 2o 726

'.42 762 28 790 29 819 30 849 30 879 31 910 .43 956 33 989 34 .1023 34 .1057 34 .1091 35 .1126

. 44 . 1185 37 . 1222 38 . 1260 oo . 1298 39 1 9.17 . loot 6V . 1376 45 . 1450 42 . 1492 42 1534 43 1 =.77

. 10/ / AOfltd . 1620 43 . 1663

. 46 . 1755 46 . 1801 46 . 1847 47 . 1894 47 1941 10G8 !47 !2103 50 !2153 49 !2202 50 !2252 50 !2302 51 .2353 .48 .2494 53 .2547 53 .2600 53 .2653 53 .2706 54 .2760

. 49 2934 55 . 2989 55 3044 00 3099 55 11 t^A

. OlM 55 . 3209

. 50 . 3420 56 . 3476 57 . 3533 56 . 3589 OD 3645 OD . 3701

. 51 . 3954 57 . 4011 57 . 4068 56 . 4124 56 4180 OO . 4zoo !52 ^4538 56 !4594 56 !4650 55 !4705 55 !4760 55 .4815

.53 .5173 54 .5227 53 .5280 52 .5332 52 .5384 52 .5436

. 54 5856 50 5906 49 5955 49 . DUU4 ASSo . 6052 48 . 6100

55 . 6590 44 . 6634 43 6677 43 6720 43 . D/OO 42 . 6805

. 56 7373 36 . 7409 36 7445 35 . 7480 35 7515 34 . I OVs) !57 .'8204 27 !8231 26 !8257 25 !8282 25 !8307 24 .8331 .58 .9080 14 .9094 14 .9108 14 .9122 13 .9135 13 9148

59 . \JKf\JOQt Co . UUv'l t V±o . UUU01 1 OKI

. ou 1 0963 16 1 0947 15 1 no/io ID 1 0916 15 J Q9Q1 1

A

ID 1. 0885

. 61 1. 1968 36 1. 1932 36 1 1896 34 1 1862 33 1 1829 33 1 1 7QC i. i/yo

•*62 L3009 58 l! 2951 56 L2895 55 L2840 53 L 2787 53 1. 2734 .63 1. 4085 81 1. 4004 79 1. 3925 78 1. 3847 76 1. 3771 74 1. 3697

. 64 I 5193 107 1. 5086 105 1 4981 103 1 4878 100 1 4778 no 1 ARSH 1. IOoU

. DO 1 6333 137 1 6196 134 1. DUO/ 10U 1 5932 1 07 1 =.811=. 1. OOUO lOA 1. 5681

. DO 1 7498 168 1. 7330 164 1 7166 160 1 700G 156 1 6850 151 1 6699

.67 L 8686 202 L 8484 197 L 8287 190 1. 8097 186 l! 7911 181 l! 7730

.68 1. 9895 238 1. 9657 231 1. 9426 225 1. 9201 219 1. 8982 212 1. 8770 .69 2. 1120 276 2. 0844 268 2. 0576 261 2. 0315 253 2. 0062 245 1. 9817 .70 2. 2361 317 2. 2044 307 2. 1737 298 2.1439 289 2. 1150 281 2.0869

.71 2. 3613 360 2. 3253 349 2.2904 338 2. 2566 327 2.2239 317 2. 1922 .72 2. 4872 404 2.4468 392 2. 4076 380 2. 3696 368 2.3328 356 2. 2972 .73 2. 6136 450 2. 5686 437 2. 5249 423 2. 4826 409 2. 4417 396 2. 4021 .74 2. 7403 499 2. 6904 483 2. 6421 467- 2.5954 451 2. 5503 435 2.5068 .75 2. 8670 551 2. 8119 532 2.7587 612 2. 7075 494 2.6581 477 2. 6104 .76 2. 9931 600 2. 9331 582 2. 8749 561 2. 8188 541 2.7647 521 2. 7126
TABLES FOR COMPUTING TRANSMISSION 9

Table 1.

Relative J\, based on J at \ —0.59 n=590 mn—Continued

2,400° K. Dif. 2,420° K. Dif. 2,440° K. Dif. 2,460° K. Dif. 2,480° K. Dif. 2,500° K.

0.32 0. 00417 30 0.00447 31 0. 00479 34 0. 00513 36 0. 00549 38 0. 00587

. 33 629 43 672 45 717 47 764 50 814 52 866

.34 923 56 979 61 .0104 6 .0110 7 .0117 .0124

.35 .0132 8 .0140 8 148 8 156 9 165 9 174 .36 184 10 194 11 205 11 216 11 227 12 239

.37 251 13 264 13 277 14 291 14 305 15 320

. 38 336 16 352 16 368 17 385 17 402 18 420

.39 442 19 461 20 481 20 501 21 522 22 544

.40 571 23 594 24 618 24 642 24 666 25 691

.41 726 27 753 28 781 28 809 29 838 29 867 .42 910 32 942 32 974 32 .1006 33 .1039 34 .1073

. 43 . 1126 36 . 1162 36 . 1198 37 . 1235 37 . 1272 38 . 1310

.44 .1376 40 .1416 40 . 1456 41 .1497 41 .1538 42 .1580

.45 .1663 44 .1707 44 .1751 45 .1796 45 .1841 45 .1886

.46 .1988 47 .2035 48 .2083 48 .2131 49 .2180 48 .2228

.47 .2353 51 .2404 51 .2455 51 .2506 52 . 2558 51 .2609 .48 . 2760 53 . 2813 54 . 2867 53 . 2920 54 . 2974 54 . 3028

.49 .3209 55 .3264 55 .3319 55 .3374 56 .3430 56 .3486

.50 .3701 56 .3757 56 .3813 56 .3869 56 .3925 56 .3981

.51 .4236 56 .4292 56 .4348 56 .4404 55 .4459 56 .4515

.52 .4815 55 .4870 54 .4924 54 .4978 53. .5031 54 .5085

. 53 . 5436 52 . 5488 51 . 5539 51 . 5590 51 . 5641 50 . 5691 .54 .6100 47 .6147 47 .6194 47 .6241 46 .6287 46 .6333

.55 .6805 41 .6846 41 .6887 41 .6928 40 .6968 40 .7008

.56 .7549 34 .7583 34 .7617 33 .7650 32 . 7682 32 .7714

.57 .8331 24 . 8355 24 .8379 24 .8403 23 .8426 23 .8449

. 58 . 9148 13 . 9161 13 . 9174 13 . 9187 13 . 9200 13 . 9213

..59 . 00958321 . 00081235 . 00066485 . 00072080 . 00078085 . 00084428

.60 1.0885 15 1. 0870 16 1. 0854 15 1. 0839 15 1. 0824 14 1. 0810

.61 1. 1796 32 1. 1764 32 1. 1732 31 1. 1701 31 1. 1670 30 1. 1640 .62 1. 2734 52 1. 2682 50 1. 2632 49 1. 2583 49 1. 2534 48 1. 2486

. 63 1. 3697 73 1. 3624 71 1. 3553 69 1. 3484 68 1. 3416 67 1. 3349

.64 L 4680 96 L 4584 93 1. 4491 90 1. 4401 90 1.4311 88 1. 4223

.65 L 5681 121 1. 5560 117 1.5443 114 1. 5329 112 1. 5217 110 1. 5107

.66 1. 6699 147 1. 6552 144 1. 6408 140 1. 6268 136 1. 6132 134 1. 5998

.67 1. 7730 177 1. 7553 171 1. 7382 167 1. 7215 162 1.7053 158 1. 6895

. 68 1. 8770 206 1. 8564 201 1. 8363 196 1. 8167 190 1. 7977 185 1. 7792 .69 1.9817 238 1. 9579 232 1. 9347 226 1.9121 219 1. 8902 213 1. 8689

.70 2. 0869 273 2. 0596 264 2. 0332 257 2. 0075 249 1. 9826 242 1. 9584

.71 2. 1922 308 2. 1614 298 2. 1316 289 2. 1027 281 2. 0746 272 2. 0474

.72 2. 2972 344 2. 2628 332 2. 2296 322 2. 1974 313 2. 1661 304 2. 1357

.73 2. 4021 381 2. 3640 369 2. 3271 357 2. 2914 346 2. 2568 336 2. 2232

.74 2. 5068 421 2. 4647 407 2. 4240 394 2. 3846 382 2. 3464 369 2. 3095

.75 2. 6104 461 2. 5643 446 2. 5197 431 2. 4766 416 2. 4350 403 2. 3947

.76 2. 7126 502 2.6624 483 2. 6141 467 2. 5674 451 2. 5223 437 2. 4786
10 BUREAU OF STANDARDS

Table 1.

Relative J\, based on J at \=0.59 n=590 mix—Continued

Mn n 2,500° K. Dif. 2,520° K. Dif. 2,540° K. Dif. 2,560° K. Dif. 2,580° K. Dif. 2,600° K.

0.32 0. 00587 39 0.00626 42 0. 00668 43 0. 00711 46 0. 00757 47 0. 00804

. 00 866 54 , 920 i 977 bd . 0104 6 . 0110 6 . 0116 .34 .0124 7 ! .0131 8 .0139 8 147 8 155 9 164 .35 174 g | 183 10 193 10 203 11 214 11 225 .36 239 12 251 12 263' 13 276 13 289 14 303

.37 320 15 335 15 350 16 366 16 382 17 399

. 00 420 19 439 19 458 19 477 20 497 20 517 .39 544 22 566 22 588 23 611 24 635 24 659 .40 691 26 717 26 743 27 770 28 798 28 826

.41 867 30 897 30 927 31 958 32 990 32 .1022 .42 .1073 34 . 1107 34 .1141 35 .1176 36 .1212 36 .1248

. 43 . 1310 38 .1348 38 . 1386 39 . 1425 40 . 1465 40 . 1505 .44 .1580 42 .1622 42 .1664 43 .1707 43 .1750 44 .1794 .45 .1886 46 . 1932 46 .1978 47 .2025 47 .2072 47 .2119 .46 .2228 49 . 2277 50 .2327 50 .2377 50 .2427 50 .2477 .47 .2609 52 '. 2661 52 .2713 52 .2765 52 .2817 53 .2870

. 48 . 3028 54 !3082 64 . 3136 54 . 3190 54 . 3244 54 . 3298 .49 .3486 55 .3541 55 .3596 55 .3651 55 .3706 55 .3761 .50 .3981 55 . 4036 56 .4092 55 .4147 55 .4202 55 .4257

.51 .4515 55 . 4570 54 .4624 54 .4678 54 .4732 54 .4786 .52 .5085 53 . 5138 53 .5191 52 .5243 52 .5295 52 .5347

. 53 . 5691 50 .5741 50 . 5791 49 . 5840 49 . 5889 48 . 5937 .54 .6333 45 .6378 45 .6423 45 .6468 44 .6512 44 .6556

.55 .7008 39 . 7047 39 .7086 39 .7125 38 .7163 38 .7201 .56 .7714 32 . 7746 32 .7778 31 .7809 31 .7840 31 .7871 .57 .8449 23 . 8472 23 .8495 22 .8517 22 . 8539 22 .8561

. 58 . 9213 12 .9225 12 . 9237 12 . 9249 12 . 9261 11 . 9272 .59 . 00084428 . 00091195 . 00098386 . 00106018 .00114110 . 00122681 .60 1. 0810 14 1. 0796 14 1. 0782 13 1. 0769 13 1. 0756 13 1. 0743

.61 1. 1640 29 1. 1611 29 1. 1582 28 1. 1554 28 1. 1526 28 1. 1498 .62 1. 2486 46 1. 2440 45 1. 2395 45 1.2350 44 1. 2306 43 1. 2263

. 63 1. 3349 65 1. 3284 64 1. 3220 62 1. 3158 61 1. 3097 60 1. 3037 .64 1.4223 85 1. 4138 83 1. 4055 82 1. 3973 80 1. 3893 78 1. 3815

.65 1. 5107 107 1. 5000 104 1. 4896 102 1. 4794 100 1. 4694 98 1. 4596

.66 1. 5998 130 1. 5868 127 1. 5741 124 1. 5617 121 1. 5496 118 1. 5378

.67 1. 6895 155 1. 6740 151 1. 6589 147 1.6442 144 1. 6298 141 1. 6157

. 68 1. 7792 181 1. 7611 176 1. 7435 171 1. 7264 167 1. 7097 163 1. 6934 .69 1. 8689 207 1. 8482 203 1. 8279 197 1. 8082 192 1. 7890 186 1. 7704 .70 1. 9584 236 1. 9348 229 1. 9119 223 1. 8896 217 1. 8679 211 1. 8468

.71 2. 0474 265 2. 0209 257 1. 9952 250 1. 9702 243 1. 9459 236 1.9223 .72 2. 1357 295 2. 1062 286 2. 0776 278 2.0498 270 2. 0228 263 1. 9965

.73 2. 2232 326 2. 1906 316 2. 1590 307 2. 1283 298 2. 0985 289 2. 0696 .74 2. 3095 358 2. 2737 346 2. 2391 336 2. 2055 326 2. 1729 316 2. 1413 .75 2. 3947

1 390 2. 3557 378 2. 3179 366 2. 2813 355 2. 2458 343 2. 2115 .76 2. 4786 424 2. 4362 410 2. 3952 396 2. 3556 384 2. 3172 371 2. 2801
TABLES FOR COMPUTING TRANSMISSION 11

Table 1.

Relative J\, based on J at \=0.59 ix=590 m/x—Continued

2,600° K. Dif. 2,620° K. Dif. 2,640° K. Dif. 2,660° K. Dif. 2,680° K. Dif. 2,700° K.

0.32 0. 00S04 50 0. 00854 52 0. 00906 55 0. 00961 59 0. 0102 6 0. 0108

. 33 . 0116 7 . 0123 7 . 0130 7 .0137 8 145 8 153

.34 164 9 173 9 182 9 191 10 201 10 211 35 225 11 236 12 248 12 260 12 272 13 285

.36 303 14 317 14 331 15 346 16 362 16 378

.37 . 399 17 416 18 434 18 452 19 471 19 490 .38 517 21 538 21 559 22 581 22 603 23 626

.39 659 24 683 25 708 26 734 26 760 26 786

.40 826 28 854 29 883 30 913 30 943 30 973

.41 .1022 32 .1054 33 .1087 34 . 1121 34 . 1155 34 .1189

.42 .1248 36 .1284 37 . 1321 38 .1359 38 .1397 38 .1435

. 43 . 1505 40 . 1545 41 . 1586 41 . 1627 42 . 1669 42 . 1711 .44 .1794 44 .1838 45 .1883 45 . 1928 45 . 1973 46 .2019

.45 .2119 47 . 2166 48 .2214 48 .2262 48 .2310 49 .2359

.46 .2477 50 . 2527 51 .2578 51 .2629 51 .2680 51 .2731

.47 .2870 53 .2923 53 .2976 53 .3029 53 .3082 53 .3135

. 48 . 3298 54 . 3352 55 . 3407 54 . 3461 55 . 3516 54 . 3570

.49 .3761 55 .3816 55 .3871 55 .3926 55 .3981 55 .4036 .50 .4257 55 .4312 55 .4367 55 .4422 55 .4477 54 .4531

.51 .4786 54 .4840 54 .4894 54 .4948 53 .5001 53 .5054 .52 .5347 51 .5398 51 .5449 51 .5500 51 . 5551 51 .5602

. 53 . 5937 48 . 5985 48 . 6033 47 . 6080 47 . 6127 47 . 6174

.54 .6556 43 .6599 43 .6642 43 .6685 42 .6697 42 .6739

.55 .7201 37 .7238 37 .7275 37 .7312 36 .7348 36 . 7384

.56 .7871 30 .7901 29 .7930 29 .7959 29 .7988 29 .8017

.57 .8561 22 .8583 21 .8604 21 .8625 21 .8646 20 .8666

. 58 . 9272 11 . 9283 11 . 9294 11 . 9305 11 . 9316 11 . 9327

.59 . 00122681 . 00131750 . 00141336 . 00151459 . 00163142 . 00173402 .60 U 0743 13 1. 0730 12 1. 0718 13 1. 0705 12 1. 0693 12 L 0681

.61 1. 1498 27 1. 1471 26 1. 1445 26 1. 1419 25 1. 1394 25 1. 1369 .62 1. 2263 42 1. 2221 41 1. 2180 41 1. 2139 40 1. 2099 39 1. 2060

. 63 1. 3037 59 1. 2978 58 1. 2920 57 1. 2863 55 1. 2808 55 1. 2753 .64 1. 3815 77 1. 3738 75 1. 3663 72 h 3591 71 1. 3520 71 1. 3449

.65 1. 4596 96 1. 4500 93 1.4407 91 1. 4316 90 1. 4226 88 1. 4138 .66 1. 5378 116 1. 5262 113 1. 5149 111 1. 5038 108 1. 4930 106 1. 4824

.67 1. G157 137 1. 6020 133 1. 5887 130 1. 5757 129 1. 5628 124 1. 5504

. 68 1. 6334 159 1. 6775 155 1. 6620 151 1. 6469 148 1. 6321 144 1. 6177 .69 1. 7704 181 1. 7523 177 L 7346 173 1. 7173 168 1. 7005 164 1. 6841

.70 1. 8468 205 1. 8263 200 1.8063 194 I. 7869 191 1. 7678 185 1. 7493

.71 1. 9223 230 1. 8993 224 L 8769 218 1. 8551 213 1. 8338 207 1. 8131 .72 h 9965 256 L 9709 248 1. 9461 240 L 9221 235 1. 8986 229 1. 8757

.73 2. 0696 281 2. 0415 272 2. 0143 265 1. 9378 257 1. 9621 251 h 9370

.74 2. 1413 307 2. 1106 297 2. 0809 289 2. 0520 281 2. 0239 273 1. 9966

.75 2. 2115 333 2. 1782 323 2. 1459 314 2. 1145 304 2. 0841 296 2. 0545 .76 2.2801 360 2.2441 349 2. 2092 339 2. 1753 329 2. 1424 319 2. 1105
\ 12 BUREAU OF STANDARDS

Table I.Relative J\, based on J at \=0.59 n=590 mn—Continued

X in n 2,700° K. Dif. 2,720° K. Dif. 2,740° K. Dif. 2,760° K. Dif. 2,780° K. Dif. 2,800° K

0.32 0. 0108 6 0. 0114 6 0. 0127 7 0. 0127 7 0. 0134 7 0. 0141

.33 153 8 161 8 169 9 178 9 187 10 197 34 211 H 222 11 233 244 11 255 12 267

• 60 ZOO iilo 298 14 312 14 326 14 340 15 ooo 36 378 16 394 17 411 17 428 17 445 18 463

'.37 490 20 510 20 530 20 550 21 571 22 593 .38 626 23 649 24 673 24 697 25 722 25 747

/SO 27 813 28 841 28 29 898 29 927

. 40 973 31 . 1004 32 . 1036 32 . 1068 33 . 1101 33 . 1134

. 41 . 1189 35 . 1224 36 . 1260 36 . 1296 36 . 1332 37 . 1369 'A2 '. 1435 39 ! 1474 39 !l513 40 '. 1553 40 ! 1593 41 !l634

.43 .1711 43 .1754 43 . 1797 43 .1840 44 .1884 44 .1928

44 2019 46 2065 46 . 2111 47 . 2158 47 . 2205 47 . 2252

*y . ZWo 49 2457 50 2507 50 2557 ou . 2607

. 46 2731 52 2783 51 2834 52 . 2886 52 . 2938 53 . 2991

'.47 ! 3135 54 ^3189 53 !3242 54 !3296 53 !3349 54 !3403 .48 .3570 55 .3625 54 .3679 55 .3734 54 .3788 55 .3843

49 Af\"ifi 00 OO 4146 55 4201 54 4255 54 4309

. 50 4531 54 4585 54 . 4639 54 . 4693 54 . 4747 53 . 4800

51 . 5054 52 . 5106 53 . 5159 52 . 5211 62 . 5263 61 5314 !62 !5602 50 !5652 50 !5702 49 !5751 49 ^5800 49 15849

.53 .6174 46 .6220 46 .6266 46 .6312 46 .6358 45 .6403

. 54 6739 41 6810 41 6851 41 . 6892 41 . 6933 40 . 6973

. 55 . 7384 35 . 7419 35 . 7454 35 . 7489 35 . 7524 34 . 7558

. 56 8017 28 8045 28 8073 28 8101 28 8129 27 8156

'.57 !8666 20 18686 20 ^8706 20 !8726 19 !8745 19 !8764 .58 .9327 11 .9338 11 .9349 11 .9360 10 .9370 9 .9379

. 59 00994R49

. 60 1 0681 H 1 0670 12 1 0658 12 1 0646 11 1. 0635 U 1 0624

. 61 1. 1369 25 1 1344 24 1 1320 24 1 1296 23 1. 1273 23 1 1250 !62 L 2060 38 L 2022 38 L 1984 37 l". 1947 36 l! 1911 36 l! 1875 .63 1. 2753 53 1. 2700 52 1. 2648 51 1. 2597 51 1.2546 49 1. 2497

. 64 1 3449 1 3378 69 1 3309 67 1 3242 65 1 3177 63 1 3114

. 65 1. 4138 OO 1 4052 84 i. oyoo CQOO l. OooO 01 I. OOIM IV

. 66 1 4824 104 1 4720 101 1 4619 99 1 4520 07 1 4423 OAy» 1 4329

.*67 l! 5504 122 L 5382 119 l! 5263 116 1. 5147 114 1. 5033 111 1. 4922 .68 1. 6177 141 1. 6036 136 1. 5898 134 1. 5764 131 L 5633 128 1. 5505 .69 1. 6841 161 1. 6680 156 1. 6524 153 1. 6371 149 1. 6222 146 L 6076 .70 1. 7493 181 1. 7312 176 1. 7136 172 1. 6964 168 1. 6796 163 1. 6633

.71 1. 8131 201 1. 7930 196 1. 7734 191 L 7543 186 1. 7357 181 1. 7176 .72 1. 8757 222 1. 8535 216 1.8319 2il 1. 8108 205 1. 7903 199 1. 7704

.73 1. 9370 244 1. 9126 237 1. 8889 231 1. 8658 224 1. 8434 218 1.8216 .74 I 9966 265 1. 9701 259 1. 9442 251 1.9191 244 1. 8947 237 1. 8710

.75 2. 0545 287 2. 0258 279 L 9979 271 1. 9708 264 1. 9444 256 1.9188 .76 2. 1105 309 2. 0796 300 2.0496 292 2.0204 283 1.9921 274 1. 9647
TABLES FOR COMPUTING TRANSMISSION 13

Table 1.

Relative J\, based on J at \ —0.59 n—590 m/x—Continued

X in n 2,800 °K. Dif. 2,820 °K. Dif. 2,840 °K. Dif. 2,860 °K. Dif. 2.880 °K. Dif. 2,900 °K.

0.32 0. 0141 7 0. 0148 8 0. 0156 8 0. 0164 9 0. 0173 9 0. 0182

.33 197 10 207 10 217 10 227 11 238 11 249

34 267 12 279 13 292 13 305 14 Q1Q oiy 1 A 333

. 35 355 15 370 16 386 16 402 17 419 1 7 160

. 36 463 19 482 19 501 19 520 20 540 21 OOl

!37 593 22 615 23 638 23 651 24 685 24 709

.38 747 26 773 27 800 '27 827 27 854 28 882

. 39 927 30 957 30 987 31 . 1018 31 . 1049 32 1081 40 1134 34 . 1163 34 . 1202 34 . 1236 35 1271 35 . iouo

. 41 . 1369 38 . 1407 38 . 1445 38 . 1483 39 . 1522 39 . 1551 !42 !l634 41 '. 1675 42 ! 1717 42 !l759 42 !l801 43 !l844

.43 . 1928 44 .197? 45 .2017 45 .2062 46 .2108 46 .2154

. 44 . 2252 48 . 2300 48 . 2348 48 . 2396 49 . 2445 49 . 2494

. 45 . 2607 50 . 2657 51 . 2708 51 . 2759 61 2810 51 2861

. 46 2991 52 . 3043 52 3095 53 . 3148 53 . 3201 53 . 3254

!47 !3403 54 !3457 54 1 3511 54 !3565 54 !3619 54 !3673

.48 .3843 55 .3898 54 .3952 55 .4007 54 .4061 55 .4116

. 59 . 4309 54 4363 55 . 4418 54 . 4472 54 . 4526 55 . 4581 4800 54 . 4854 53 . 4907 53 . 4960 53 5013 Oo 5066

. 51 . 5314 52 . 5366 51 . 5417 51 . 5468 50 5518 51 5569

!52 !5849 49 !5898 48 !5946 48 !5994 48 !eo42 48 !6090

.63 .6403 45 .6448 44 .6492 44 .6536 44 .6580 44 .6624

54 6973 40 . 7013 40 7053 40 . 7093 39 7132 oo 7170

. 55 . 7558 34 . 7592 34 . 7626 34 . 7660 33 . 7693 33 . 7726

56 8156 27 . 8183 27 8210 27 . 8237 26 . 8263 26 . 8289

.57 !8764 19 .' 8783 19 !8S02 19 !8821 18 !8839 18 !8857

.58 .9379 10 . 93S9 10 .9399 10 .9409 9 .9418 10 .9428

. 59 . WfrOUOTI

. 60 1. 0624 n 1. 0613 1. 0602 10 1. 0592 10 1. 0582 1. 0571

. 61 1. 1250 23 1. 1227 22 1. 1205 22 1. 1183 21 1. 1162 21 1. 1141 !62 l! 1875 35 L 1840 35 L 1805 35 i 1770 33 L 1737 33 1. 1704 .63 1. 2497 49 1. 2448 48 1. 2400 48 1. 2352 46 1.2306 45 1. 2261

OA

. 04 1 3114 63 1 3051 61 1 2990 60 1 2930 60 1 2870 58 1 2812

. 65 1 3725 77 1 3640 76 1 3572 75 1. 3497 73 1 3424 72 1. 3352

. 66 1 4329 93 1. 4236 91 1. 4145 90 1 4055 87 1 3968 86 1. 3882

!67 l! 4922 109 L 4813 106 1. 4707 104 L 4603 103 L4500 100 1. 4400

.68 1. 5505 125 1. 5380 123 1. 5257 120 1. 5137 117 1. 5020 115 1. 4905

.69 1.6076 142 1. 5934 139 1. 5795 136 1. 5659 133 1. 5526 130 1. 5396

.70 1. 6633 159 1. 6474 156 1. 6318 152 1. 6166 149 1. 6017 145 1. 5872

.71 1. 7176 177 1. 6999 172 1. 6827 169 1. 6658 165 1. 6493 161 1. 6332

.72 1. 7704 195 1. 7609 190 1. 7319 185 1. 7134 181 1. 6953 177 1. 6776

.73 1. 8216 213 1. 8003 207 1. 7796 202 1. 7594 198 1. 7396 192 1. 7204

.74 1. 8710 231 1. 8479 225 1. 8254 219 1. 80J,'» 213 1. 7822 208 1. 7614

.75 1. 9188 249 1. 8939 243 1. 8696 236 I. 8460 230 1. 8230 224 1. 8006

.76 1.9647 267 1. 9380 260 1.9120 „ 254 1. 8866 246 1. 8620 240 1. 8380
14 BUREAU OF STANDARDS

Table 1.

Relative J\, based on J at \=0.59 n—590 m\i—Continued

2,900° K. Dif. 2,920° K. Dif. 2,940° K. Dif. 2,960° K. Dif. 2,980° K. Dif. 3,000° K.

0.32 0. 0182 9 0. 0191 9 0. 0200 10 0. 0210 10 0.0220 10 0. 0230

. 33 249 11 zou to 979 19IZ 284 13 297 13 9in o\M .34 333 14 347 15 362 15 377 16 393 16 409 .35 436 17 454 18 472 18 490 19 509 19 528 .36 561 21 582 21 603 22 625 22 647 23 670 .37 709 25 734 25 759 25 784 26 810 26 836 90 . oo QUO 28 910 29 939 29 968 30 998 31 1029 .39 .1031 32 .1113 33 .1146 33 .1179 34 1213 34 ! 1247 .40 .1306 36 .1342 37 .1379 37 . 1416 38 . 1454 38 .1492

.41 .1551 40 .1601 41 .1642 40 .1682 41 . 1723 42 .1765 .42 .1844 43 . 1887 44 . 1931 44 . 1975 44 !2019 45 .2064

• to . 2154 47 99fl1 AHtl . 2248 AQ 99QA 47 .2343 48 99Q1 .44 .2494 49 .2543 50 .2593 50 .2643 50 . 2693 50 .2743 .45 .2861 51 .2912 52 .2964 52 .3016 52 . 3068 52 .3120 .46 .3254 53 .3307 53 .3360 54 .3414 63 . 3467 53 .3520

.47 .3673 54 .3727 54 .3781 55 .3836 54 !3890 54 .3944

AS.

. to 4116 54 4170 55 4225 54 4279 55 .4334 54 4388 .49 !4581 54 !4635 54 [4689 53 !4742 54 . 4796 53 !4849 .50 .5066 52 .5118 52 .5170 52 .5222 52 5274 52 .5326

.51 .5569 51 .5620 50 .5670 49 .5719 50 5769 49 .5818 .52 .6090 47 .6137 47 .6184 46 .6230 46 !6276 46 .6322

K9 AA9/1 to AAA7 A'i to ,OiJU 42 . 6752 42 .6794 42 AQ9A . OOOO

.54 .7170 38 .7208 37 .7245 37 .7282 37 7319 37 .7356

.55 .7726 32 .7758 32 .7790 31 .7821 31 . 7852 31 .7883 .56 .8289 25 .8314 25 .8339 25 .8364 25 8389 24 .8413 .57 .8857 18 .8875 17 .8892 17 .8909 17 !8926 17 .8943

Rfi 9428 y 9437 V 9446 QV 9 .9464 g0/179 .59 ! 00322489 ! 00341544 ! 00361432 '. 00382189 . 00426387 .60 1. 0571 10 1. 0561 10 1. 0551 9 1. 0542 in 1 0532 9 1. 0523

.61 L 1141 21 1. 1120 21 1. 1099 20 1. 1079 20 1 1059 20 1. 1039 .62 1. 1704 32 1. 1672 32 1. 1640 31 1. 1609 30 1. 1579 30 1. 1549

A9 . DO 1. 2269 44 1. 2217 43 1. 2174 42 1. 2132 42 1. 2090 AOtL 1. 2048 .64 h 2812 57 1. 2755 56 1. 2699 55 1. 2644 54 53 1. 2537 .65 1. 3352 70 1. 3282 69 1. 3213 67 1. 3146 67 1 3079 65 1. 3014 .66 1. 3882 83 1. 3799 83 1. 3716 80 1. 3636 80 1 3556 77 1. 3479 .67 1. 4400 98 1. 4302 96 1. 4206 94 1. 4112 92 1. 4020 91 1. 3929

AQ . 08 1. 4905 112 1. 4793 no 1. 4683 101 1. 4575 106 1. 4469 103 1. 4366 .69 1. 5396 127 1. 5269 124 1. 5145 122 1. 5023 119 1. 4904 116 1. 4788 .70 1. 5872 142 1. 5730 138 1. 5592 136 1. 5456 133 1. 5323 130 I. 5193

.71 1. 6332 157 1. 6175 153 1. 6022 150 1. 5872 147 1. 5725 143 1. 5582 .72 1.6776 172 1. 6604 168 1. 6436 164 1. 6272 160 1. 6112 157 1. 5955 .73 1. 7204 188 1. 7016 183 1. 6833 178 1. 6655 174 1. 6481 170 1. 6311 .74 1. 7614 203 1. 7411 198 1. 7213 193 1. 7020 188 1. 6832 184 1. 6648 .75 1. 8006 218 1. 7788 213 1. 7575 207 1. 7368 202 1. 7166 197 1. 6969 .76 1. 8380 233 1. 8147 227 1. 7920 221 1. 7699 216 1.7483 211 1.7272
TABLES FOR COMPUTING TRANSMISSION

Table 1.

Relative J\, based on J at \ =0.59 n—590 mn—Continued

15

X in n 3,000° K. Dif. 3,020° K. Dif. 3,040° K. Dif. 3,060° K. Dif. 3,080° K. Dif. 3,100° K. Dif. 3,120° K.

0.32 0. 0230 11 0. 0241 11 0. 0252 11 0. 0263 12 0. 0275 12 0. 0287 12 0299

.33 310 13 323 14 337 14 351 15 366 15 381 15 396

. 34 409 16 425 17 442 17 459 18 477 18 495 19 514

\ 35 528 20 548 20 568 21 589 21 610 22 632 22 654

.36 670 23 693 24 717 24 741 24 765 26 791 27 818

.37 836 27 863 28 891 28 919 29 948 29 977 30 1007 .38 .1029 31 . 1060 31 . 1091 32 . 1123 32 . 1155 33 . 1188 33 1221 .39 . 1247 35 . 1282 35 . 1317 36 . 1353 36 . 1389 36 . 1425 37 1462 .40 . 1492 38 . 1530 39 . 1569 39 . 1608 40 . 1648 40 . 1688 41 1729

.41 . 1765 42 . 1807 42 . 1849 43 . 1892 43 . 1935 44 . 1979 44 2023

.42 .2064 45 .2109 46 .2155 46 .2201 46 .2247 47 .2294 47 2341

.43 . 2391 48 . 2439 48 . 2487 49 . 2536 49 . 2585 49 . 2634 50 2681

. 44 . 2743 50 . 2793 51 . 2844 51 .2895 51 . 2946 52 . 2998 52 3050

. 45 .3120 52 .3172 53 .3225 52 .3277 53 . 3330 '53 .3383 54 3437

.46 . 3520 54 .3574 54 .3628 54 .3682 54 . 3736 54 . 3790 54 3844

.47 .3944 54 .3998 55 .4053 54 .4107 54 .4161 a

.4215 55 4270

.48 .4388 54 . 4442 54 . 4496 54 . 4550 54 . 4604 54 .4658 53 4711 .49 .4849 53 .4902 53 .4955 53 .5008 53 . 5061 53 . 5114 52 5166

.50 . 5326 52 . 5378 51 .5429 51 . 5480 61 .5531 61 . 5582 51 5633

.51 . 5818 49 . 5867 49 .5916 49 . 5965 48 .6013 48 . 6061 48 6109

.62 .6322 46 .6368 45 .6413 45 .6458 45 .6503 45 .6548 44 6592

.53 . 6836 41 . 6877 41 . 6918 41 . 6959 41 .7000 40 . 7040 40 7080

.54 .7356 37 . 7393 36 .7429 36 . 7465 36 .7501 35 . 7536 35 7571 .55 .7883 31 .7914 30 .7944 30 .7974 30 .8004 29 .8033 29 8062

.56 . 8413 24 .8437 23 .8460 24 .8484 24 .8508 23 .8531 23 8554

.57 .8943 17 .8960 16 .8976 17 .8993 16 .9009 16 .9025 16 9041

.58 . 9473 9 .9482 8 . 9490 9 .9499 8 . 9507 9 . 9516 8 9524

. 59 . 00426387 . 0044D880 . 00474333 . 00499770 . 00526213 . 00553689 00582220 .60 1. 0523 10 1. 0513 9 1. 0504 10 1. 0494 9 1. 0485 9 1. 0476 8 l' 0468

.61 1. 1039 19 1. 1020 19 1. 1001 19 1. 0982 19 1. 0963 18 1. 0945 18 1 0927

.62 1. 1549 30 1. 1519 30 1. 1489 29 1. 1460 29 1.1431 281. 1403 28 1 1375

.63 1. 2048 42 1. 2006 40 1. 1966 39 1. 1927 39 1. 1888 38 1. 1850 38 1 1812

.64 1. 2537 52 1. 2485 52 1. 2433 51 1. 2382 49 1. 2333 49! 1. 2284 48 1 2236

.65 1. 3014 64 1. 2950 63 1. 2887 62 1. 2825 61 1. 2764 601. 2704 58 1 2646

.66 1. 3479 77 1. 3402 74 1. 3328 74 1. 3254 72 1. 3182 71 1. 3111 69 1 3042

.67, 1.3929 88 1. 3841 87 1. 3754 85 1. 3669 84 1. 3585 821.3503 80 1 3423

.68 1.4366 101 1. 4265 99 1. 4166 98

110

1. 4068 95 1. 3973 93' 1. 3880 92 1 3788

.69 1. 4788 114 1. 4674 112 1. 4562 1. 4452 107 1. 4345 105 1. 4240 103 1 4137

.70 1. 5193 127 1: 5066 124 L 4942 122 1. 4820 119 1. 4701 117|1. 4584 114 1 4470

.71 1. 5582 140 1. 5442 137 1. 5305 134 1. 5171 131 1. 5040 128' 1.4912 125 1 4787

.72 1. 5955 153 1. 5802 150 1. 5652 146 1. 5506 143|1. 5363 140 1. 5223 137 1 5086

.73 1.6311 166 1. 6145 163 1. 5982 159 1. 5823 155! 1. 5668 15l!l. 5517 148 1 5369 .74 1. 6648 179 1. 6469 175 1. 6294 171 1. 6123 167 1. 5956 163 1. 5793 158 1 5635 .75 1. 6969 192 1. 6777 187 1. 6590 183 1. 6407 178 1. 6229 174' 1.6055 171 1 5884 .76 1. 7272 205 1.7067 199 1. 6868 195 1. 6673 191 1. 6482 185 1. 6297 180 1 6117
16 BUREAU OF STANDARDS

Table 2.Luminosity relative to maximum value at each temperature

Example.—At color temperature 2,680°K. and X=0.55 m, the luminosity

relative to that at 0.5720 m is 0.8824+0.5 (.0099) =0.8874.

X in n 2,000° K. Dif. 2,080° K. Dif. 2,160° K. Dif. 2,240° K. Dif. 2,320° K. Dif. 2,400° K.

0. 40 A AAAA1

O

0. 000012 2 A AAAA1 A 0. 000014 3

A AAAA1 1

0. 000017 3

A AAAAOA 0. 000020 4 0. 000024 4 0. 000028

. 41 47 10 57 11 68 13 81 14 95 15 .000110

. 42 aaaoaa

. 000209 41 AAAOEA. 000250 46 AAAOA£t. 000296 49 . 000345 53 . 000398 57 455 .43 799 146 945 157 .001102 167 . 001269 177 . 001446 187 .001633 .44 .002062 339 . 002401 362 .002763 385 3145 397 3542 415 3957

. 45 43/4 649 5023 682 5/05 (09 6414 «33 714/ /54 7901

. 46 8747 1165 9912 1208 . 01112 124 . 01236 127 . 01363 129 . 01492

. 47 . 01660 197 . 01857 201 2058 204 2262 207 2469 208 2677 .48 3135 330 3465 332 3797 334 4131 333 4464 332 4796 .49 5739 530 6269 527 6796 523 7319 517 7836 508 8344

. 50 . 1079 87 . 1166 85 . 1251 83 . 1334 82 . 1416 79 . 1495

. 51 . 2016 138 . 2154 134 . 2288 130 . 2418 126 . 2544 121 . 2665

. 52 . 3383 194 . 3577 187 . 3764 178 . 3942 170 . 4112 168 . 4274 .53 .4843 227 .5070 215 .5285 203 ..5488 191 .5679 180 .5859

54 .6270 231 .6501 215 .6716 200 .6916 186 .7102 173 .7275

. 55 . 7595 206 . 7801 189 . /990 1(3 . 8163 158 . 8321 144 . 8465

. 56 . 8758 159 . 8917 141 . 9058 125 . 9183 110 . 9293 97 . 9390

. 57 . 9600 90 . 9690 75 . 9765 62 . 9827 50 . 9877 40 . 9917 .58 .9988 11 .9999 .9999 10 .9989 17 .9972 22 .9950

.59 .9838 69 .9769 73 . 9696 76 .9620 78 .9542 78 .9464

. 60 . 9231 136 . 9095 133 . 8962 129 . 8833 126 . 8(07 122 .8585

. 61 . 8239 181 . 8058 173 . 7885 164 . 7721 155 . 7566 148 . 7418

. 62 . 69.54 203 . 6751 189 . 6562 177 . 6385 165 . 6220 154 . 6066 .63 .5363 192 .5171 178 .4993 164 .4829 151 .4678 141 .4537

.64 .3910 166 .3744 151 .3593 138 .3455 127 .3328 116 .3212 .65 .2629 129 .2500 115 .2385 104 .2281 96 .2185 87 .2098 .66 .1641 90 .1551 81 . 1470 73 . 1397 65 . 1332 59 .1273 .67 .09388 570 .08818 506 .0S312 449 .07863 402 . 07461 364 .07097 .68 5420 360 5060 317 4743 281 4462 249 4213 223 3990 .69 2832 205 2627 188 2449 157 2292 138 2154 123 2031 .70 1528 117 1411 103 1308 90 1218 79 1139 70 1069 .71 . 008421 692 .007729 598 . 007131 522 .006609 455 .006154 401 . 005753 .72 4517 394 4123 338 3785 293 3492 254 3238 224 3014 .73 2392 219 2173 188 1985 162 1823 140 16S3 122 1561 .74 1227 118 1109 101 1008 86 . 000922 74 .000848 64 .000784 .75 .000626 62 .000564 54 .000510 45 465 39 426 34 392 .76 333 35 298 30 268 25 243 21 222 19 203 Sum

Max. at n=

10. 4645

0. 5818

10. 4811

0. 5806

10. 4966

0. 5794

10. 5108

0. 5782

10. 5236 0.5770

10. 5351 0.5758
TABLES FOR COMPUTING TRANSMISSION 17

Table 2.

Luminosity relative to maximum value at each temperature—Continued

X in n

TVS* Ull. J,OOU IV. JJ1I. 2,04U &.. Dlf. O TOAO T7" Dlf. 2,800 K.

0. 40 0. 000028 5 0. 000033 5 0. 000038 5 0. 000043 5 0. 000048 o 0. 000054

.41 .000110 15 . 000125 16 . 000141 17 . 000158 19 . 000177 20 . 000197 .42 455 60 515 63 578 66 644 68 712 71 783

.43 . 001633 196 . 001829 204 . 002033 210 . 002243 216 .002459 222 . 002681

.44 3957 429 4386 442 4828 452 5280 460 5740 468 6208

.45 7901 771 8672 783 9455 795 . 010125 81 .01106 81 .01187

.46 . 01492 132 . 01622 132 . 01754 132 1886 132 . 02018 132 2150 .47 2677 208 2885 208 3093 208 3301 206 3507 205 3712 .48 4796 329 5125 326 5451 322 5773 317 6090 312 6402 .49 8344 499 8843 491 9334 481 9815 475 . 1029 45 .1074

.50 . 1495 77 . 1572 75 . 1647 73 . 1720 71 . 1791 68 . 1859 .51 .2665 116 .2781 112 .2893 107 .3000 1Q4 .3104 100 .3204 .52 .4274 154 . 4428 147 .4575 141 . 4716 134 .4850 127 .4977 .63 .5859 169 .6028 159 . 6187 151 .6338 142 .6480 134 .6614 .54 . 7275 161 . 7436 150 .7586 138 . 7724 128 .7852 120 .7972 .55 . 8465 131 . 8596 119 .8715 109 8824 99 . 8923 91 .9014 .56 .9390 86 .9476 75 .9551 66 .9617 58 .9675 51 .9726

.57 .9917 29 .9946 22 .9968 16 .9984 10 .9994 5 .9999 .58 .9950 27 .9923 32 . 9891 35 .9856 37 .9819 39 .9780

.59 . 9464 79 .9385 79 .9306 79 .9227 78 .9149 76 .9073 .60 . 8585 118 ' .8467 114 .8353 109 . 8244 106 . 8138 103 .8035 .61 .7418 141 .7277 133 .7144 127 .7017 120 .6897 115 .6782 .62 . 6066 145 .5921 136 .5785 128 .5657 121 .5536 114 .5422

.63 .4537 130 .4407 121 .4286 112 .4174 106 . 4068 99 .3969

.64 .3212 107 . 3105 99 . 3006 92 . 2914 85 . 2829 78 .2751

. 65 . 2098 80 . 2018 72 . 1946 66 . 1880 62 . 1818 57 . 1761 .66 . 1273 53 . 1220 49 . 1171 45 . 1126 41 .1085 37 .1048

. 67 . 07097 329 . 06768 299 . 06469 272 . 06197 248 . 05949 226 .05723 .68 3990 201 3789 182 3607 164 . 03443 149 3294 135 3159

.69 2031 109 1922 99 1823 90 1733 80 1653 73 1580 .70 1069 61 1008 555 . 009525 498 . 009027 448 . 008579 405 . 008174

.71 . 005753 353 . 005400 315 5085 281 4804 253 4551 228 4323

. 72 3014 195 2819 1 71 I/O * 2646 154 139 2353 2228 !73 1561 107 1454 95 1359 83 1276 74 1202 67 1135 .74 . 000784 56 . 000728 50 . 000678 44 .000634 39 . 000595 34 .000561

.75 392 30 362 26 336 23 313 20 293 17 276 .76 203 16 187 13 174 12 162 11 151 10 141 Sum 10. 5351 10.5447 10. 5532 10. 5606 10. 5667 10. 5719 Max. at n= 0. 5758 0. 5747 0. 5736 0. 5725 0. 5715 0. 5705
18 BUREAU OF STANDARDS

Table 2.Luminosity relative to maximum value at each temperature—Continued

Xin/i 2,800° K. Def. 2,880° K. Def. 2,960° K. Def. 3,040° K. Def. 3,120° K. Equal

energy (= visi- bility)

0.40

.41 .42

.43 .44

0. 000054

.000197

783 .002681 6208

620

73

227 476

0. 000060

. 000217 856 .002908

6684

7

2175

231

481

0.000067

. 000238

931

. 003139

7165

722

77 235

483

0. 000074 .000260

. 001008

3374

7648

62278

237 488

0. 000080

.000282

. 001086

3611 8136

0.0004

.0012

40 .0116

.023

.45 .46

.47

.48

.49

. 01187 2150 3712

6402 .1074

82

132

203 308

45

. 01269

. 02282

3915 6710 .1119

82

132 200

30344

. 01351 2414

4115

7013 .1163

83

132

197 294

43

. 01434 2546

4312

7307 .1206

81 129 196 288

41

. 01515

2675 4508

7595 .1247

3860

91 .139

.208 .50

.51 .52

.53

.54

.1859 .3204

.4977

.6614 .7972

6696

121

127 113

.1925 .3300 .5098

.6741 .8085

6492 116

120

106

.1989

.3392

.5214

.6861

.8191

6288

110

11296

.2051 .3480

.5324

.6973 .8287

5984

105 10690

.2110

.3564

.5429

.7079

.8377

.323

.503 .710

.862 .954 .55 .56

.57

.58

.59

.9014

.9726

.9999 .9780

.9073

84

45

1 4175

.9098

.9771 1.0000 .9739

.8998

76

39

242

74

.9174 .9810

.9998 .9697 .8924

68

33

542

72

.9242

.9843

.9993 .9655 .8852

6328

945

71

.9305

.9S71 .9984

.9610

.8781

.995

.995 .952

.870

.757 .60

.61 .62

.63 .64

.8035

.6782

.5422

.3969

.2751

98

108

10792

73

.7937

.6674

. 5315 .3877

.2678

95

104

10187

69

.7842 .6570

.5214

.3790 .2609

92

10096

82

65

.7750

.6470

.5118 .3708

.2544

88

95

917760

.7662

.6375

.5027

.3631 .2484

.631 .503

.381 .265 .175

.65

.66

.67

. 68

.1761 .1048

.05723 3159

1580

5335

209

12467

.1708

.1013

. 05514 3035

1513

49 324

193 114

61

.1659 .09806

5321 2921

1452

47 299

175 10556

.1612

.09507

5146

2816

1396

43

279

16497

52

.1569 .09228

4982

2719

1344

.107

.06132

17 .0082

.70

.71 .72

. 73 .74

. 008174

4323 2228

1135

. 000561

369

206

11260

31

.007805

4117

2116

1075 .000530

335

187

1015428

. 007470

3930

2015

1021

. 000502

307

17294

49

26

. 007163 3758

1921 476

281

15684

4522

.006882 3602

1837 454

41

21

10s

. UUUOJ

2s .75 276 16

9 260 14 246 13 233 136

220 It .76 141 132 7 125 7 118 112 .0000s Sum

Max. at m=

10. 5719 10. 5767 10. 5S05 10. 5824 10. 5834 10. 6856 .5705 .5696 .5687 .5678 .5669 .555
TABLES FOR COMPUTING TRANSMISSION 19

Table 3.

Luminosity factors These factors are exactly proportional to the corresponding values of Table 2, but here they are so adjusted that the area of each complete curve of luminosity

factors at a given temperature between the wave-length limits 0.40 to 0.76 n is equal to unity. Consequently, to obtain the light transmission of a glass screen

or colored solution, multiply the spectral transmission at each wave length by

the corresponding tabulated or interpolated factor, obtaining in each case an

element of light transmission for the wave-length interval X—0.005 n to X+0.005

ix. The integral light transmission of the screen or solution is then obtained as the sum of these elements without further computation.

The same procedure is followed in the case of spectral reflection.

X in m 2,000° K. Dif. 2,080° K. Dif. 2,160° k. Dif. 2,240° K. Dif. 2,320° K. Dif. 2,400° K.

0.40 0. 0000011 0. 0000013 0. 0000016 0. 0000019 0. 0000023 0. 0000027

1 45 54 65 77 90 . 000010

2 . 000020 . 000024 . 000028 . 000033 . 000038 43

3 76 90 00010 . 00012 . 00014 . 00015

4 .00020 3 .00023 3 26 4 30 4 34 4 38

5 42 6 48 6 54 7 61 7 68 7 75

6 84 11 95 11 . 00106 12 . 00118 12 . 00130 12 .00142

7 . 00159 18 . 00177 19 196 19 215 20 235 19 254

8 300 31 331 31 362 31 393 31 424 31 455

9 548 50 598 49 647 49 696 49 745 47 792 .50 . 01301 81 .01112 80 . 01192 77 . 01269 76 . 01345 74 . 01419

I 1926 129 2055 125 2180 121 2301 118 2417 112 2529 2 3233 180 3413 173 3586 164 3750 157 3907 150 4057 3 4628 209 4837 198 5035 186 5221 175 5396 165 5561 4 5992 211 6203 195 6398 182 6580 169 6749 156 6905 7257 186 7443 169 7612 154 7766 141 7907 128 8035

g 8370 138 8508 122 8630 107 8737 94 8831 83 8914

7 9174 71 9245 58 9303 47 9350 35 9385 28 9413 8 9545 5 9540 14 9526 22 9504 28 9476 31 9445

9 9401 80 9321 84 9237 84 9153 86 9067 84 8983 .60 8821 143 8678 140 8538 134 8404 130 8274 125 8149

1 7873 185 7688 176 7512 166 7346 156 7190 149 7041 2 6645 204 6441 189 6252 177 6075 165 5910 152 5758

3 5125 191 4934 177 4757 163 4594 149 4445 138 4307

4 3737 165 3572 149 3423 136 3287 125 3162 113 3049

5 2512 127 2385 113 2272 102 2170 94 2076 85 1991

6 1568 88 1480 80 1400 71 1329 63 1266 58 1208

7 .00897 56 .00841 49 .00792 44 .00748 39 .00709 35 . 00674

8 518 35 483 31 452 28 424 24 400 21 379

9 271 20 251 18 233 15 218 13 205 12 193 .70 146 11 135 10 125 9 116 8 108 6 102

1 .00080 6 .00074 6 .00068 5 . 00063 5 .00058 3 .00055 2 43 39 36 33 31 29

3 23 21 19 17 16 15 4 12 11 10 . 000088 . 000081 .000074

5 .000060 . 000054 . 000049 44 40 37

6 32 29 26 23 21 19 Max. value .09556 .09541 . 09527 . 09514 . 09502 . 09491 Max. at m= .5818 .5806 .5794 .5782 . 5770 .5758 Centroid oiim= .5830 .5818 .5806 .5794 .5782 .5770
20 BUREAU OF STANDARDS

Table 3.

Luminosity factors—Continued

X in fi 2 400° K. Dif. 2 480° K. Dif. 2 560° K. Dif. 2 640° K. Dif. 2 720° K. Dif. 2 800° I

0.40 0. 0000027 0. 0000031 0. 0000036 0. 0000041 0. 0000046 0.000005

. 41 . 000010 . 000012 . 000013 . 000015 . 000017 .000019 .42 43 49 55 61 67 74 .43 . 00015 . 00017 . 00019 . 00021 . 00023 . 00025 .44 38 4 42 4 46 4 50 4 54 5 59 .45 75 7 82 8 90 7 97 8 .00105 7 .00112

.46 . 00142 12 . 00154 12 . 00166 12 . 00178 13 191 12 203 .47 254 20 274 19 293 20 313 19 332 19 351

. 48 455 31 486 31 517 30 547 29 576 30 606 .49 792 47 839 45 884 45 929 44 973 43 . 01016 .60 .01419 73 . 01491 69 . 01560 69 . 01629 65 . 01694 64 1758 .51 2529 108 2637 104 2741 100 2841 96 2937 93 3030

. 52 4057 143 4200 136 4336 130 4466 124 4590 118 4708

. 53 5561 156 5717 147 5864 138 6002 132 6134 123 6257

.54 6905 146 7051 136 7187 127 7314 117 7431 110 7541 .55 8035 116 8151 107 8258 97 8355 90 8445 81 8526

. 56 8914 73 8987 64 9051 56 9107 49 9156 44 9200

. 57 9413 19 9432 14 9446 8 9454 4 9458 9458

. 58 9445 35 9410 37 9373 40 9333 41 9292 41 9251 .59 8983 83 8900 82 8818 81 8737 78 8659 77 8582 .60 8149 120 8029 114 7915 111 7806 106 7700 100 7600

.61 7041 140 6901 133 6768 123 6645 118 6527 111 6416 .62 5758 143 5615 133 5482 125 5357 118 5239 109 5130

. 63 4307 128 4179 117 4062 110 3952 102 3850 95 3755 .64 3049 104 2945 96 2849 89 2760 82 2678 76 2602 .65 1991 77 1914 70 1844 64 1780 60 1720 55 1665

. 66 1208 51 1157 47 1110 43 1067 40 1027 36 . 00991

. 67 . 00674 32 . 00642 29 . 00613 26 . 00587 24 . 00563 22 541 .68 379 20 359 17 342 16 326 14 312 13 299 .69 193 11 182 ' 9 173 9 164 7 157 7 150

. 70 102 6 . 00096 6 . 00090 5 . 00085 4 . 00081 4 . 00077

.71 . 00055 4 51 3 48 3 45 2 43 2 41 .72 29 27 25 24 22 21 .73 15 14 13 12 11 11 .74 .000074 .000069 . 000064 . 000060 .000056 .000053 .75 37 34 32 30 28 26 .76 19 18 17 15 14 13 Max. value .09491 . 00483 . 09476 . 09469 . 09464 . 09460 Max. at n= .5758 . 5747 . 5736 .5725 .5715 .5705 Centroid on m= .5770 .5761 .5748 .5737 .5727 .5717
TABLES FOR COMPUTING TRANSMISSION

Table 3.

Luminosity factors—Continued

21

2,800° K. Dif. 2,880° K. Dif. 2,960° K. Dif. 3,040° K. Dif. 3,120° K.

0.40 0.0000051

.41 ! .000019

.42 74

.45

.40

.47 .48

.49 .50

.51 .52

.53

.54 .55

.56

.57

.63

.64

.65

.67

.70

00025

59 00112

203

351

. 01016

1758 3030

4708

6257

7541 8526 9200

9458

9251 8582

7600

6416

5130

3755

2602

1665

. 00991

541 299

150

. 00077

41

21

11

. 000053

26

13

42

6190

113

117 100

7640

2

43

7596

107

10590

71

5134

20

127

0. 0000057

. 000021

81 .00027

63

. 00120

216

370

634

. 01058

1819 3120

4821 6374

7646 8602

9240

9456

9208

8507

7504

6309

5025 3665

2531 1614

. 00957

521 287

143

. 00074

3920

10

. 000050

25

12

5

8

12

1929

41

6186

107

11195

43

7393

100

97

83

0546

30

18

116

0. 0000063

. 000023

00030

00128

228

663

. 01099

1880 3206 4928

6485

7741

8671 9273 9449 9165

8434

7411 6209 4928

3582

2466

1568

. 00927

503

276

137

. 00071

37

19

10

. 000047

23

12

47

13

182740

5882

103

10490

6329

0. 0000070

. 000025

95 .0003272

. 00135

241 407

. 01139

1938 3288

5031

7831 8734

9302

9443

9123

8365

7324 6114 4836

3504

2404

1524 00898

486

132

. 00068

35

18

. 000092

45

22

11

10084

58

25

1043

68

8590

0. 0000076

. 000027

. 000102

77

. 00143

253 426

718

.01178

1994 3368

5129

7915 8792

9327

9433

8297

7239

6024 4750

3431 2347

1483 .00872

471

257

127 .00065

34

17

. 09460

.5705

.5717

. 09456

. 5696

,5708

, 09452

,5687 094505678 5690

, 09449

. 5669

,5681
22 BUREAU OF STANDARDS

Table 4.

Percentage change in computed J\ for a change of ±30 in constant C2 of the Planck radiation equation

[Supplementary constants Qine A) to obtain corresponding changes in the luminosity factors of Table 3] Example.—At color temperature 2,300° K, the value tabulated below for 0.44 n is 0.75 per cent, corresponding to a change of 30 in C2 . For a change of 20 in C2 the change in J .u is %j of 0.75=0.50 per cent; for a change of 15 in C2, % of 0.75=0.38 per cent, etc. Algebraic sign of tabulated values:

Tabulated values To line A

Change in C2— Above X Below X In line A

Increase.-. —- + +

Decrease + — —

Color temperature X in n

2,000° K. 2,300° K. 2,600° K. 2,900° K. 3,200° K.

jrer ceni jrer etui Jrer ceni i^tr ceni rtj cent

0. 32 2. 05 1. 86 1. 67 1. 48 1. 29

3 1.93 1.74 1.56 1.39 1.21

4 1.82 1.63 1.46 1.30 1. 14

. 35 1.71 1.52 1.36 1. 21 1.07

6 1. 60 1.42 1.26 1. 13 1.01

7 1.50 1.32 1. 17 1.05 .95

.38 1.40 1.23 1.09 .98 .89

9 1.30 1. 14 1.01 .91 .83

.40 1. 21 1. 05 . 93 . 84 . 77

.41 1. 12 .97 .86 . 77 .71

2 1.04 .89 .79 .71 .06

3 .95 .82 .72 .65 .60

.44 .87 .75 .66 .60 .55

5 .79 .69 .60 .55 .50

6 .72 .63 .54 .50 .46 .47 . 65 . 56 . 49 . 45 . 41 8 .58 .50 .44 .40 .37

9 .52 .45 .39 .36 .33

. 50 .46 .40 .35 .32 .29

1 .40 .35 .31 .28 .25

2 .34 .30 .26 . 24 . 21 .53 .28 .25 .22 .20 .18

.23 .21 .18 . 16 . 15 5 .18 . 16 .14 .12 .11 .56 .13 .12 . 11 .09 .08

7 .08 .08 .07 -.06 .05 8 .04 .04 .04 .03 .03

.59 X

.60 .04 .03 .03 .03 .03

1 .08 .07 .06 .05 .05 .62 .12 .10 .09 .08 .07

3 .16 . 14 . 12 . 11 .10

4 .20 .17 .15 .13 .12

.65 .23 .ro .18 . 16 .15

6 .27 .23 .20 .18 .17

7 .30 .26 .23 .21 .19

.68 .33 .29 .26 .23 .21

9 .36 .32 .29 .26 .23 .70 .39 .34 .31 .28 .25

.71 .42 .37 .33 .30 .27

2 .45 .39 .35 .32 .29

3 .48 .42 .37 .34 .31 .74 .51 .44 .39 .36 .33

5 .54 .47 .41 .37 .35

6 .57 .49 .43 .39 .36 A, all X .04 .06 .07 .07 .07
TABLES FOR COMPUTING TRANSMISSION 23

In line A are given constants for adjustment of the percentage values above

in Table 2 to obtain the percentage change in the luminosity factors of Table

3. Each of these constants applies to all values given above it in the table; that is, one constant for each temperature. Combine the given constant by

algebraic addition with the individual values at each wave length.

Example—Color temp. 2,600° K; \=0.52 M; C2 changed from 14330 to 14310. At 0.52 n, 2,600° K., 0.26 per cent is tabulated. Its sign is +, as it is above line X and C2 is decreased. The corresponding constant in line A is —0.07, the minus sign corresponding to a decrease in C2 . For a change of —30 in C2 , the

percentage change for Table 3 is 0.26 — 0.07 = 0.19 per cent. For the assigned

change of —20 in C2 , the required adjustment to the value in Table 3 is ^ of 0.19 = 0.13 per cent. At X=.71 n, the adjustment would be ££(— 0.33 — 0.07) =

—0.27 per cent, etc. o