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  1. Hyde and Forsythe: J. Frank. Inst.,  183, pp. 353–354; 1917. E. F. Kingsbury: J. Frank. Inst.,  183, pp. 781–782; 1917.
    [Crossref]
  2. Meeting of American Physical Society, Washington, April, 1921; Phy. Rev. (2) 18, p. 147; Aug., 1921.
  3. J. Op. Soc. Am.,  5, pp. 178–183; March, 1921. Cf. also Phy. Rev. (2),  10, pp. 208–212; 1917, particularly the closing paragraph.
    [Crossref]
  4. Coblentz, ; p. 470; 1916. Forsythe, J. Op. Soc. Am.,  4, p. 332; 1920.
    [Crossref]
  5. In previous papers (J. Op. Soc. Am.,  5, pp. 178–183; March1921and , Vol. 17, pp. 231–265; 1921), the color temperature 2830°K was inferred from these same data. This value was merely a rough approximation as inferred from plotting the data on a small scale and is not accurate enough for the present purpose. The revised value given in the present paper results from a more careful examination of the data, and a more precise and reliable method of reducing it.
    [Crossref]
  6. Compare also:—Jour. Op. Soc. Am.,  4, pp. 389–401; 1920. , Vol. 17, p. 234; 1921.
  7. J. Op. Soc. Am.,  4, pp. 389–401; 1920. , Vol. 17, pp. 234–235; 1921.
  8. It is to be observed that while the visibility of energy enters into the formulas used, it does not enter in such a way as to affect the temperature found so long as the same values of visibility known to be approximately correct, are used in determining all values of λc considered and the spectral distribution approximates Planck’s formula. The values of visibility actually used throughout the present paper are shown by the solid curve in Fig. 8, J. Op. Soc. Am., 4, p. 471.
  9. Letter, W. E. Forsythe, Nela Lab., to I. G. Priest, Aug.11, 1921.
  10. J. Op. Soc. Am.4, pp. 485–486.
  11. Ann. der Phy. (4) 39, pp. 545–568; 1912.
  12. J. Op. Soc. Am.,  5, pp. 178–183; March, 1921.
    [Crossref]
  13. The curve shown in Fig. 6, J. Op. Soc. Am., 5, p. 182, was obtained by this simple process of inspection.
  14. Cf. “Experimental Method” above.
  15. By the same method as described above for deriving the color temperature of the standard lamp No. 1717 from the radiometric data.
  16. Coblentz’s determinations of Lamp 1717 were made in April 1917. His determinations on Lamp 1716 were made in December 1918, after readjusting his apparatus.
  17. Letter, Forsythe to Priest, July29, 1921.
  18. These determinations were made by Ben S. Willis, Photometric Section, Bureau of Standards.
  19. Phy. Rev. (2) 18, p. 147; Aug.1921.
  20. Worthing, Phys. Rev. (2) 10, p. 392; 1917.
  21. Cf. Forsythe, Phy. Rev. (2),  18, p. 147; 1921.
  22. Waidner and Burgess, B. S. Bulletin,  1, pp. 109–124; 1904.
    [Crossref]
  23. B. S. Bulletin, 1, p. 123.

1921 (7)

J. Op. Soc. Am.,  5, pp. 178–183; March, 1921. Cf. also Phy. Rev. (2),  10, pp. 208–212; 1917, particularly the closing paragraph.
[Crossref]

In previous papers (J. Op. Soc. Am.,  5, pp. 178–183; March1921and , Vol. 17, pp. 231–265; 1921), the color temperature 2830°K was inferred from these same data. This value was merely a rough approximation as inferred from plotting the data on a small scale and is not accurate enough for the present purpose. The revised value given in the present paper results from a more careful examination of the data, and a more precise and reliable method of reducing it.
[Crossref]

J. Op. Soc. Am.,  5, pp. 178–183; March, 1921.
[Crossref]

Letter, Forsythe to Priest, July29, 1921.

Phy. Rev. (2) 18, p. 147; Aug.1921.

Letter, W. E. Forsythe, Nela Lab., to I. G. Priest, Aug.11, 1921.

Cf. Forsythe, Phy. Rev. (2),  18, p. 147; 1921.

1920 (2)

Compare also:—Jour. Op. Soc. Am.,  4, pp. 389–401; 1920. , Vol. 17, p. 234; 1921.

J. Op. Soc. Am.,  4, pp. 389–401; 1920. , Vol. 17, pp. 234–235; 1921.

1917 (2)

Worthing, Phys. Rev. (2) 10, p. 392; 1917.

Hyde and Forsythe: J. Frank. Inst.,  183, pp. 353–354; 1917. E. F. Kingsbury: J. Frank. Inst.,  183, pp. 781–782; 1917.
[Crossref]

1912 (1)

Ann. der Phy. (4) 39, pp. 545–568; 1912.

1904 (1)

Waidner and Burgess, B. S. Bulletin,  1, pp. 109–124; 1904.
[Crossref]

Burgess,

Waidner and Burgess, B. S. Bulletin,  1, pp. 109–124; 1904.
[Crossref]

Coblentz,

Coblentz, ; p. 470; 1916. Forsythe, J. Op. Soc. Am.,  4, p. 332; 1920.
[Crossref]

Forsythe,

Cf. Forsythe, Phy. Rev. (2),  18, p. 147; 1921.

Hyde and Forsythe: J. Frank. Inst.,  183, pp. 353–354; 1917. E. F. Kingsbury: J. Frank. Inst.,  183, pp. 781–782; 1917.
[Crossref]

Hyde,

Hyde and Forsythe: J. Frank. Inst.,  183, pp. 353–354; 1917. E. F. Kingsbury: J. Frank. Inst.,  183, pp. 781–782; 1917.
[Crossref]

Waidner,

Waidner and Burgess, B. S. Bulletin,  1, pp. 109–124; 1904.
[Crossref]

Willis, Ben S.

These determinations were made by Ben S. Willis, Photometric Section, Bureau of Standards.

Worthing,

Worthing, Phys. Rev. (2) 10, p. 392; 1917.

Ann. der Phy. (4) (1)

Ann. der Phy. (4) 39, pp. 545–568; 1912.

B. S. Bulletin (1)

Waidner and Burgess, B. S. Bulletin,  1, pp. 109–124; 1904.
[Crossref]

J. Frank. Inst. (1)

Hyde and Forsythe: J. Frank. Inst.,  183, pp. 353–354; 1917. E. F. Kingsbury: J. Frank. Inst.,  183, pp. 781–782; 1917.
[Crossref]

J. Op. Soc. Am. (4)

J. Op. Soc. Am.,  5, pp. 178–183; March, 1921. Cf. also Phy. Rev. (2),  10, pp. 208–212; 1917, particularly the closing paragraph.
[Crossref]

In previous papers (J. Op. Soc. Am.,  5, pp. 178–183; March1921and , Vol. 17, pp. 231–265; 1921), the color temperature 2830°K was inferred from these same data. This value was merely a rough approximation as inferred from plotting the data on a small scale and is not accurate enough for the present purpose. The revised value given in the present paper results from a more careful examination of the data, and a more precise and reliable method of reducing it.
[Crossref]

J. Op. Soc. Am.,  4, pp. 389–401; 1920. , Vol. 17, pp. 234–235; 1921.

J. Op. Soc. Am.,  5, pp. 178–183; March, 1921.
[Crossref]

Jour. Op. Soc. Am. (1)

Compare also:—Jour. Op. Soc. Am.,  4, pp. 389–401; 1920. , Vol. 17, p. 234; 1921.

Letter, Forsythe to Priest (1)

Letter, Forsythe to Priest, July29, 1921.

Letter, W. E. Forsythe, Nela Lab., to I. G. Priest (1)

Letter, W. E. Forsythe, Nela Lab., to I. G. Priest, Aug.11, 1921.

Phy. Rev. (2) (2)

Phy. Rev. (2) 18, p. 147; Aug.1921.

Cf. Forsythe, Phy. Rev. (2),  18, p. 147; 1921.

Phys. Rev. (2) (1)

Worthing, Phys. Rev. (2) 10, p. 392; 1917.

Other (10)

B. S. Bulletin, 1, p. 123.

J. Op. Soc. Am.4, pp. 485–486.

These determinations were made by Ben S. Willis, Photometric Section, Bureau of Standards.

The curve shown in Fig. 6, J. Op. Soc. Am., 5, p. 182, was obtained by this simple process of inspection.

Cf. “Experimental Method” above.

By the same method as described above for deriving the color temperature of the standard lamp No. 1717 from the radiometric data.

Coblentz’s determinations of Lamp 1717 were made in April 1917. His determinations on Lamp 1716 were made in December 1918, after readjusting his apparatus.

It is to be observed that while the visibility of energy enters into the formulas used, it does not enter in such a way as to affect the temperature found so long as the same values of visibility known to be approximately correct, are used in determining all values of λc considered and the spectral distribution approximates Planck’s formula. The values of visibility actually used throughout the present paper are shown by the solid curve in Fig. 8, J. Op. Soc. Am., 4, p. 471.

Coblentz, ; p. 470; 1916. Forsythe, J. Op. Soc. Am.,  4, p. 332; 1920.
[Crossref]

Meeting of American Physical Society, Washington, April, 1921; Phy. Rev. (2) 18, p. 147; Aug., 1921.

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Figures (8)

Fig. 1
Fig. 1

Spectral distribution of energy, B. S. Lamp No. 1717 and Planckian radiator at 2820° and 2850°

Fig. 2
Fig. 2

Spectral distribution of light, Planckian radiator at various temperatures.

Fig. 3
Fig. 3

Relation between temperature and wave-length of center of gravity, Planckian radiator

Fig. 4
Fig. 4

Essential parts of apparatus

Fig. 5
Fig. 5

Form of photometric field

Fig. 6
Fig. 6

Spectral distributions of energy, Planckian radiator at various temperatures compared with distributions obtained by rotatory dispersion.

Fig. 7
Fig. 7

Relation between ϕ and temperature

Fig. 8
Fig. 8

Color temperature of 500-watt gas-filled photometric standard lamp as a function of efficiency

Tables (2)

Tables Icon

Table 1 Precision of color matching lamps at about 2850° K. Circular photometric field divided on a diameter. Angular diameter of whole field about 6° (Martens Photometer). Observer sets voltage on test lamp to color match comparison standard. Assistant records voltages. Observed deviations in volts have been reduced to corresponding deviations in temperature.

Tables Icon

Table 2 Departure of individual observer’s means (20 observations) from mean of four observers.Substitution method.Circular photometric field divided on a diameter. Angular diameter of whole field about 6° (Martens Photometer).

Equations (2)

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λ c = V · E · λ d λ V · Ed λ
λ c = Σ V · E · λ Σ V · E