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Table 55. Calculated Spectral Intensities J lambda for a Range of Wavelengths for a Blackbody of Unit Area for a Range of Temperatures from 50K to 25,000K

Table 55. Calculated Spectral Intensities J lambda for a Range of Wavelengths for a Blackbody of Unit Area for a Range of Temperatures from 50K to 25,000K

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-



T A B L E 55.-CALCULATED

S P E C T R A L INTENSlTllES JA FOR A RANGE OF

W A V E , L E N G T H S FOR A BLACKBODY O F U N I T A R E A FOR A RANGE

O F T E M P E R A T U R E S F R O M 50°K TO 25,000"K (continued)

800"



A

.10

20

.30

.40

.45



.so



.55

.60

.65

.70



A'



3.2241

1.0851

1.4647

1.1129

9.103



2.9182

4.759

4.692

3.1506

1.5675



.90

1.oo

1.50



6.1514

1.9924

1.3423

5.840

3.0769



2.00

2.50

3.00

4.00

5.00



1.4607

2.8902

3.8565

4.129

3.3793



.75

.80



10.00

50.00

100.00



JA



1.3224

6.949

2.3444

8.906

2.6834



-54

-2 5

-15

-1 1

-9



3.3883

1.1123

6.9122

3.5633

5.517



10

9

8

7



3.8701

3.2828

1.8773

7.950

2.6652



-



8

7

6

6

5



4.671

2.5627

1.0193

3.1748

8.178



-



6

6

5

5

3



7.475

1.7823

7.288

2.1269

3.3803



-



5

4

4

3

2



1.8135

3.5650

1.0450

2.3367

1.6712



-



-2



- 32

- 20

- 14

- 13



- 11



-



.10

20

.30

.40

.45



- 1



-



1:2204

1.2857

1.0313

7.148



-1

-1

-2



2.9286

3.1995

2.8888

1.9221

1.1984



-



3

5

6



1.1643

3.5918

2.4184



-2

-5

- 6



1.6158

4.419

2.9379



-



--7.429

2.7665

1.8994



7.543

5.249

4.190

7.740

3.9513



22000



2000"



It



A'



-27

-11



-6



-4

-3

-2

-2

-2

-1



.50

.55

.60

.65

.70



1.3771

3.6546

7.935

1.4810

2.4599



.75



.90

1.00

1.50



3.7284

5.254

8.845

1.2691

2.4072



-1

-1

-1



2.00

2.50

3.00

4.00

5.00



2.1930

1.6350

1.1538

5.735

3.0360



10.00

50.00

100.00



3.0578

6.908

4.497



.so



JA



2

2

2

2

2



1800'



x



12000

7



n

-44

-19

-12

- 8

-7



- 70



-



1000~

&

I1



n



2.2235

2.8499

6.007

5.703

2.3321



J,



-23



- 9



-5

-3

-2

-2

- 1

-1

-1



1.5338 -20

7.485

- 8

5.308

-4

2.9228 - 2

-2

9.967



-



4

3

3

3



3

3

2

2

1



1.7774

3.0296

7.001

1.2943

5.236



-



2

2

2

1



-1

-1

-1

-1



- 1

-1



-1



6.916

6.398

5.185

3.0340

1.7597



-1

-1

-1



1.3213

1.0814

8.100

4.318

2.3772



-2

-5

-6



2.0858

5.2487

3.4566



-2

-5

-6



2.5678

6.0751

3.9787



*

2400'



J,



0

0

0

-1

- 1



4.626

3.025

1.964

8.855

4.439



0

0

0

1

1



6.151

3.8351

2.4167

1.0518

5.171



- 2

- 5

- 6



4.054

8.570

5.537



3.3001

2.2874

1.5411

7.255

3.7257



-2



3.5536

7.7413

5.020



0



-



-2

-5



-6



(continued)



n



3.5592 -18

1.1402 - 6

3.2616 - 3

1.1408 - 1

3.3440 - 1



0



0

0

0

1

1



SMITHSONIAN PHYSICAL TABLES



1.4334

5.761

1.7677

4.421

9.435



5.348

6.382

8.146

9.371

9.241



0

0



-5

-6



6

5

4

4

4



0

0

0



0

0

0

0

0



A'



-37

-16

-9

-6

-5



2.5864

3.2297

4.444

5.430

6.391



1.0817

1.4265

2.1492

2.8224

4.115



-



-



JA



7.477

1.3800

2.2141

3.1988

4.267



2.5154

5.126

8.932

1.3838

1.9592



1600"



n



9.2178

5.8022

2.0790

2.5732

2.4766



1

1

1

0

0



6.806

1.5618

3.0050

5.0622

7.701

- 1



-1



n



-



1400"

&



83



4.558

9.401

6.062



-



4



1.8689

5.947

1.5023

3.1867

5.907

9 847

..



1.5079

2.9157

4.674

1.2341



-1



2600'



JA



3.5731

1.1424

1.5160

3.6108

9.313



-16



-



5



-2

-1

-



1



1

0

0

0

0



1.8796

3.1902

4.773

6.502

8.244



0

0



9.890

1.1360

1.3606

1.4880

1.2651



0

1



7.852

4.707

2.8935

1.2233

5.917



0

0



0

0



0

0



-



--



3.4723

3.5613

1.5016

6.376

4.295



0

0

0

1



-2

- 5



-6



5.064

1.0229

6.573



0



0



0

0



0



1



1

1



0



- 01

-2

-4

-6



-31

-13



-7



- 45

-3

-3

-2



-2

-2

-3

-1

-1

-1

0



0

0



-1



-1

-1

-2

-5

-6



2800"

*

A'



1.8569 -14

8.235

-5

5.657

-2

9.695

-1

2.2404

0

4.142

6.543

9.222

1.1941

1.4500



0

0

0

1

1



1.6755

1.8625

2.1128

2.2133

1.6591



1



9.709

5.631

3.3905

1.3989

6.674



0

0



5.571

1.1061

7.097



1

1

1

1



0



0



-1

-2



4

-6



54



T A B L E 55.-CALCULATED

S P E C T R A L INTENSlTliES JA FOR A RANGE OF

W A V E L E N G T H S FOR A BLACKBODY OF U N I T A R E A FOR A RANGE

OF T E M P E R A T U R E S F R O M 50°K T O 25,000'K (concluded)



-



3000"



3200'



x



n

'



.10

20

.30

.40

.45



5.698

4.562

1.7710

2.2819

4.795



-13

-4

-1

0



0



JA

1.1396

2.0402

4.807

4.825

9.330



.50

.55

.60

.65

.70



8.215

1.2195

1.6321

2.0227

2.3657



0

1

1

1

1



1.4957

2.1028

2.6895

3.2083

3.6313



1



.75



1



.90

1.00

1.50



2.6465

2.8600

3.0957

3.1245

2.1026



2.00

2.50

3.00

4.00

5.00



1.1703

6.600

3.9044

1.5780

7.442



1

0



10.00

50.00

100.00



6.081

1.1897

1.9581



JA



.so



1

1

1

1



-



0

0



1



-2



-4

-5



Ji



1.3165

1.2903

1.1884

1.0561

4.9320



2

2

2

2



2

2



1



3.4810

3.2227

2.7040

2.2338

8.487



0

1



2.3215

1.1922

6.650

2.5076

1.1372



1

1

0

0

0



3.6384

1.7735

9.570

3.4705

1.5393



-6



8.657

1.6064

1.0219



1

0

0



-



1.7181

9.178

5.247

2.0369

9.391



6.593

1.2732

8.130



- 2

- 4

- 6



A

'



1

1

1



0

0

0

1



7.361

1.3978

8.926



1

1

1

1

1



1

1

1



-2

-4



- *

10,000"



Jh



15,000~



?I



'A



-8

-1



1.1225

2.0216

1.2808



-2

-4



-5



-4

0



2

2

2



3

1



1

1

0

0

0



-1

-4



-5



25,000°



20,000~

JA



n



I,



II



5

5



6

5

5

5

4



3

3

3

3



2.1268

8.820

1.2857

1.0313

8.653



2

3

4

4

3



2.5671

9,763

6.571

3.6571

2.7323



4

4

4

4

4



2.8224

3.3001

1.5411

7.255

5.1415



4

4



1.1917

6.981

2.6523

1.1370

7.825



3.3793

2.9415

2.5311

2.1601

1.8485



3

3

3

3

3



7.148

5.869

4.816

3.9614

3.2718



3

3

3

3

3



2.0625

1.5762

1.2201

9.563

7.586



4

4

4

3

3



3.7257

2.7563

2.0780

1.5936

1.2456



4

4

4

4

4



5.542

4.026

2.9907

2.2654

1.7461



4

4

4

4

4



2

2

2

2

2



1.5780

1.3494

9.945

7.429

2.1278



3

3

2

2

2



2.7160

2.2670

1.6067

1.1643

3.0625



3

3

3

3

2



6.084

4.931

3.3311

2.3256

5.505



3

3

3

3

2



9.800

7.836

5.178

3.5536

8.008



3

3

3

3

2



1.3667

1.0845

7.078

4.810

1.0537



4

4

3

3

3



1

1



8.024

3.6391

1.8756

6.438

2.7665



1

1



2

1

1

0

0



1.9004

8.194

4.088

1.3487

5.664



2



2.7017

1.1494

5.684

1.8549

7.741



2

2



0

0



1.1106

4.926

2.5026

8.443

3.5918



3.5077

1.4804

7.280

2.3625

9.818



2

2

1

1

0



1.8994

3.2700

2.0663



-1

4

-5



2.4184

4.099

2.5793



2.00

2.50

3.00

4.00

5.00



5.049

2.3814

1.2584

4.451

1.9460



10.00

50.00

100.00



1.3811

2.4375

1.5391



1

0

0



-4

-5



2

2

2

2

2



1

.



.90

1.00

1.50



-1



3.8137

4.004

4.018

3.9080

3.7175



1.3818

7.607

4.432

1.7598

8.217



6.728

6.007

4.748

3.7449

1.2494



.so



1

2

2

2

2



1



2

2

2

2

2



.7s



9.032

1.0789

1.2052

1.2825

1.3168



6.611

6.754

6.662

6.248

3.4032



9.9983

9.6424

9.024

8.279

7.496



.so



.55

.60

.65

.70



0

1

1



0

1

1



1

I

1

1

1



1

2

2

2



-2



0

0



3.9491

4.164

4.327

4.228

2.5919



0



1.4597

7.302

5.223

9.152

9.906



-1



1.2094

6.647

1.0561

2.7563

3.4034



9.1199

1.8251

9.616

4.565

6.877



-10

- 2



1



5.840

1.4607

3.8565

4.129

3.8032



.10

20

.30

.40

.45



5.3650

1.3998

1.7358

1.2640

2.1962



-11

- 3



&

J,

n



$1



1



8000"



n



4000'



JA



3.2321

4.237

5.113

5.807

6.303



* 6000"



x



3500"



&



n



SMITHSONIAN PHYSICAL TABLES



1



-1

-4

-5



3.7177

6.185

3.8748



1



1

1

0

-1



-4

-5



5.020

8.254

5.194



5



1

1



0

-1



-3

-5



6.318

1.0318

6.448



-1

-3

-5



T A B L E 56.-BLACKBODY



85



SPECTRAL INTENSITIES



Auxiliary table for a short method of calculating JX for any temperature. (Menzel, Harvard University.)

Let J o = intensity for To= 10,000 OK; for another temperature T " K :

J / J o = CAf(exp ( @ d o )

- l)I/[A6(exp ( a / A T )- 111

For ease of calculation To was taken as 10,000 OK.

= tabular JAX 10" watts, for cm* for 2* solid

angle per 0.1~. Choose A = k T o / T ; then JX= Jo( T/T0)'. As an example find JX for 0 . 5 ~and 6oOO "K

~ 1.2857 X lo'. JA

from value of JAfor 0 . 3 ~given in Table 55. 0 . 5 ~= 0 . 3 ~10,000/6000. JX for 0 . 3 =

for A = 0 . 5 ~= 1.2857 X lo4 X (6,000/10,000)6 = 9.998 X 10'.

10,000~



A



J,



.OLOO

.0150

.0200

.0250

.0300



1.3224

1.1427

6.949

4.005

2.3444



-49

-29

-20

-14

-10



.1450

.15m

.1600

.1700

.1800



2.8776

3.3806

4.458

5.586

6.716



3

3

3

3

3



.5500

.6000

.6500

.7000

.7500



.0350

.0400

.0450

.0500

.0550



1.0214

8.906

2.6833

3.8700

3.2828



-7

-6

-4

-3

-2



1.8773

7.950

2.6652

7.427

1.7823



-1



.0950

.lo00

.lo50

.1100

.1150

.1200

.1250

.1300



7.805

8.820

9.735

1.0536

1.1215

1.1769

1.2204

1.2524

1.2739

1.2859

1.2895

1.2857

1.2601

1.2163

1.1606



.1350

.1400



3

3

3

4

4

4

4

4

4

4

4

4

4

4

4

4

4

3

3

3

3

3



.8000

.8500

.9000

.9500

1.000



.0600

.0650

.07OO

.0750

.0800

.0850



.1900

.2000

.21#

.2m

.2300

.2400



5.869

4.816

3.9614

3.2718

2.7160

2.2670

1.9031

1.6067

1.3641

1.1643

8.613

6.494

4.980

3.8782

3.0625

2.4487

1.9805

1.6183

1.3348

1.1106

7.867

5.724

4.262

3.2372

2.5026

1.4015

8.443



A



J,



n



A



J,



U



1.2894

2.1269

3.3049

4.881

6.899

9.391

1.2365

1.5819



1

1

2

2

2



.2900

.3000

.3200

.3400

.3600



2

2

2

3

3



.3800

.4200

.4400

.4600



1.0977

1.0313

9.640

8.977

8.335



1.9732

2.4062



3

3



.4800

so00



7.724

7.148



3.7891



O

. m 7.288



SMITHSONIAN PHYSICAL TABLES



.4OOo



1.100

1.200

1.300

1.400

1.500

1.600

1.700

1.800

1.900

2.000

2.200

2.400

2.600

2.800

3.000



3.500

4.000



-



A



J ,



3

3

3

3

3



4.500

5.000

6.000

7.000

8.000



5.383

3.5918

1.7761

9.756

5.797



3

3

3

3

3



9.000

10.00

12.00

14.00

16.00



3.6548

2.4184

1.1807

6.433

3.7904



2

2

2

2

2



18.00

20.00

25.00

30.00

35.00



2.3790

1.5667

6.4692

3.1346

1.6954



2

2

2

2

2



40.00

45.00

50.00

55.00

60.00



9.979

6.236

4.099

2.8042

1.9793



1

1

1

1

1



65.00

70.00

80.00

90.00

100.00



1.4390

1.0698

6.306

3.9340

2.5793



1

0



n



-1

-1

-1

-1

-1

-2

-2

-2

-2

-3

-3

-3

-4

-4

-4

-4

-4

-4

-4



0

0

0



-5

-5

-5



86



T A B L E 57.-CHANGES



DUE T O A C H A N G E IN c2



The adoption of a new value for cz changes the calculated values for J A by an amount

that varies indirectly' with both the wavelength and the temperature for values of AT

<3000, as follows:

d h - -d ~ z

JA

AT

that is, a larger value of c;. results in a smaller value of JA. Values of this correction factor

for this change in cz have been calculated and are given in the tables for five temperatures

and a range of wavelengths that cover the visible spectrum. As these percentage correction

factors are given they are the percentage of the J A for 14320, deg that must be subtracted

from it to give J ~ ~ J S O .

A change in cz also results in a different value of the extrapolated temperature as measured with an optical pyrometer for a definite ratio of brightness. Thus



To the accuracy necessary for most work, values for other wavelengths, other temperatures, or other values of cz within these ranges can be found by interpolation.

P a r t 1.-Percentage



change in J, for a change in c, from 14320 to 14380, degrees



Xins



2200

K



2300



"K



2:OO

K



2200

K



.32

.34

.36

.38

.40

.42

.44

.46

.48

.SO

.52

.54

.56



9.8

9.2

8.7

8.2

7.8

7.4

7.0

6.7

6.4

6.2

5.9

5.7

5.5



8.5

7.9

7.5

7.1

6.7

6.4

6.1

5.8

5.6

5.3

5.1

4.9

4.8



7.5

7.0

6.6

6.3

5.9

5.7

5.4

5.1

4.9

4.7

4.5

4.4

4.2



6.7

6.3

5.9

5.6

5.3

5.0

4.8

4.6

4.4

4.2

4.1

3.9

3.8



O

3:O



K



Ainu



6.0

5.7

5.3

5.0

4.8

4.6

4.4

4.2

4.0

3.8

3.7

3.5

3.4



.58

.60

.62

.64

.66

.68

.70

.72

.74

.76

.78

.80



2!00

K



2:OO



5.3

5.1

4.9

4.8

4.6

4.5

4.4

4.2

4.1

4.0

3.9

3.8



4.6

4.4

4.3

4.1



K



4.0



3.9

3.8

3.7

3.6

3.5

3.4

3.3



2:OO

K



4.1

3.9

3.8

3.7

3.6

3.5

3.4

3.3

3.2

3.1

3.0

2.9



2200



K



3zOO

K



3.6

3.5

3.4

3.3

3.2

3.1

3.0

2.9

2.8

2.8

2.7

2.6



3.3

3.2

3.1

3.0

2.9

2.8

2.7

2.6

2.6

2.5

2.4

2.3



P a r t 2 . 4 h a n g e in temperatures, AT, extrapolated from 1336 to the temperature T

given, c2 changed from 14320 to 14380, degrees

T"K



AT



1500'K



-.6



1800°K



-2.4



SMITHSONIAN PHYSICAL TABLES



2000°K



2500°K



3000°K



3500°K



4000'K



5000°K



-4.1



-8.7



-15.5



-22.3



-33.0



-56.4



TABLES 58-77 -PHOTOhIETRY



87



Photometry is the measurement of light, and light has been defined by the

Illuminating Engineering Society as radiant energy evaluated according to its

capacity to produce visual sensations.

T A B L E %.-THE



EYE AS A MEASURING I N S T R U M E N T FOR RADIATION

Part 1.-Theory



As a measuring instrument for radiation, the eye is very selective, that is, it does not

respond equally to radiation of various wavelengths. The data in Part 2 give the relative

sensitivity of the eye to radiation of different wavelengths. Another peculiarity of the

eye is that its relative sensitivity changes with the intensity of the radiation that falls upon

it. This is shown by the data in Table 59. Also the absolute sensitivity of the eye varies

with the intensity of the radiation that falls upon it. This is shown by the data given in

Table 60.

The data p6 on which Table 60 is based are not very extensive, but inasmuch as there is

now some active work on this subject by Lowry of the Eastman Kodak Co. there should

soon be available data for a wider range of field brightness. The data in Table 59 show that

the sensitivity of the eye to radiation of lower intensity increases faster toward the blue

end of the spectrum than in the red end. This is called the Purkinje effect.

For light measurement a t very low brightness care must be taken as to the standards

used. From the data given in Table 59 it can be shown that sources giving light of different

colors that were rated as equal by the average eye adapted to a field brightness of about

1 to 2 millilamberts would be rated quite differently for low field brightness, that is, for

niillilamberts.

the eye adapted to a field brightness of

If the brightness given by two sources such as daylight and a carbon lamp be set equal

for a field brightness 1 to 2 niillilamberts and then these brightnesses both reduced

mechanically to about 10" millilamberts, the field of the daylight source would seem to be

about 2) times as bright as that of the carbon lamp.

Manchard, Phys. Rev., vol. 11, p. 81, 1918; Stiles and Crawford, Proc. Roy. SOC.London, ser. B.

vol. 112, p. 428, 1933; Lowry, Journ. Opt. SOC. Amer., vol. 18, p. 29, 1929.



P a r t 2.-Relative



luminosity factors 9 [ K,] (unity a t wavelength of maximum luminosity)



~



X in

mp

380

390

400

410

1-70

430

4-10



450

460

470

480

490

500

510

520

530

540



550

560

570

580

590

600

610

620

630

640

650

660

670

680

690

700

710

720

730

740

750

760



Values interpolated at intervals of one millimicron



Standard

factors

.00004

.00012

.0004

,0012

.0040

,0116

.023

.038

.060

.091

,139

.208

.323

,503

.710

.862

.954

. .

.995

.995

,953

,870

.757

,631

.SO3

.381

,265

.175

.lo7

.061

,032



ni7



1

.000045

.000138

.00045

,00138

.00455

,01257

,0243

.0399

.0627

,0950

.1448

,2173

.3382

.5229

,7277

,8739

.9604

,9969

,9926

.9455

.8600

,7449

.6183

.4905

,3690

.2548

,1672

,1014

,0574



7



.OOOOJ9

.000155

,00049

.00156

,00515

,01358

.0257

,0418

.0654

,0992

,1507

,2270

.3544

.5436

,7449

,8851

,9661

.9983

,9898

.9386

,8496

,7327

,6054

,4781

.3570

,2450

,1596

,0961

,0539

,0280

,01477

.ooin5

,00355

.00181

.000907

.000447

.000214

,000103

.000052



4

3

.000059

.000054

,000193

.000173

,00059

.00054

,00195

,00174

.00651

.00581

,01571

,01463

,0284

,0370

.0459

,0438

,0709

,0681

,1080

.lo35

,1629

,1567

,2476

,2371

.3890

,3714

,5865

.5648

,7776

,7615

,9056

.a956

,9760

.9713

1.0000

,9994

,9828

,9865

,9235

.931

,8277

,8388

,7076

,7202

.5797

,5976

,4535

.-I658

,3329

,3449

,2261

2354

,1452

.1523

,0862

,0910

,0475

,0506

,0247

,0263

,01281

.01376

.on612

,00656

.00310

,00332

,001587

,001699

,000845

,000788

.000387

.000415

.000198

.000185

.000096

.onno90

.000048

.000045



5

6

.000071

.000064

.000241

.000215

.00064

.00071

,00118

,00244

,00726

.00806

,01684

,01800

,0298

,0313

.0480

.0502

,0739

.0769

,1126

,1175

,1693

,1761

,2586

,2701

,4259

,4073

.6082

.6299

,7932

.808?

,9149

,9638

,9803

,9840

1.0002

1.0001

.9786

.9741

,9154

,9069

.8163

,8046

,6949

,6822

,5668

,5539

.1412

,4291

.3210

,3092

,2170

,2082

,1382

,1316

,0816

,0771

,0446

,0418

,0232

,0219

,01192

.01108

,00572

.00536

,00291

,00273

. n o i - 1 ~ 3 .001387

,000736

,000688

. n o o ~ n .on0335

.onni72

.no0160

.noon84

.on0078

.000042

.000039



7

.000080

.000272

.00080

.00274

.00889

.01920

.0329

.0525

,0802

,1225

.1833

.2823

.4450



,6511

,8315

.9320

,9873

,9995

,9691

.8981

,7928

,6694

,5410

.4 170

2977

.1996

.1251

,0729

,0391

,0206

,01030

,00503

,00256

.001297

,000644

.onn313

.ooni-19

.000074

,000037



8

.000090

.000308

.00090

,00310

,00976

.02043

.0345

.0549

,0836

,1278

,1909

,2951

,4642

,6717

,8363

,9398

,9902

,9984

.9638

,8890

,7809

,6565

,5282

,4049

,2864

,1912

,1188

,0688

,0366

,0194

,00956

,00471

,00241

,001212

,000601

.000291

.000139

.000069

.000035



9

.000104

.000350

.00104

,00352

.01066

,02170

.0362

.0574

,0872

.1333

.1991

.3087

,4836

,6914

,8495

,9471

,9918

,9969

,9581

,8796

,7690

,6437

,5156

,3929

.2755

.1830

,1128

.0648

,0343

, ,0182

,00886

,00440

.00225

.001130

.000560

.000170

.000130

.000064

.000032



I.E.S.Nomenclature and photometric standards, .\merican Standards Association. ASA C-42. 1941.

SMlTHSONlAN PHYSICAL TABLES



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Table 55. Calculated Spectral Intensities J lambda for a Range of Wavelengths for a Blackbody of Unit Area for a Range of Temperatures from 50K to 25,000K

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