Abstract

By infrared spectroscopy precise measurements of the wavelengths of forty-three rotational lines in the CO absorption band at 4.67 μ were made. Fifteen lines from J=32 to J=52 in the P branch were measured from the emission spectrum of CO. These data were reduced by the method of least squares, and values of the rotational constants, B0 and D0, of CO were calculated. A second, slightly less precise set of measurements over approximately the same range of J values was similarly reduced, and combined estimates of the constants were obtained. Using the resulting value of B0 with the value obtained from microwave frequency measurements, the velocity of light was estimated to be 299 792 km/sec. The estimated standard deviation of this value is 6 km/sec.

© 1955 Optical Society of America

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Corrections

Earle K. Plyler, L. R. Blaine, and W. S. Connor, "Errata*: Velocity of Light from the Molecular Constants of Carbon Monoxide," J. Opt. Soc. Am. 45, 1115_5-1115 (1955)
https://www.osapublishing.org/josa/abstract.cfm?uri=josa-45-12-1115_5

References

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  1. R. T. Birge, Revs. Modern Phys. 13, 233 (1941); Repts. Progr. in Phys. 8, 92–101 (1941); N. E. Dorsey, Trans. Am. Phil. Soc. 34, Part 1 (1944).
    [Crossref]
  2. J. W. DuMond and E. R. Cohen, Revs. Modern Phys. 25, 691 (1953).
    [Crossref]
  3. Rank, Ruth, and Van der Sluis, J. Opt. Soc. Am. 42, 693 (1952).
    [Crossref]
  4. A. E. Douglas and D. Sharma, J. Chem. Phys. 21, 448 (1953).
    [Crossref]
  5. Leo Goldberg and Edith A. Muller, Astrophys. J. 118, 397 (1953).
    [Crossref]
  6. Bedard, Gallagher, and Johnson, Phys. Rev. 92, 1440 (1953).
    [Crossref]
  7. Gilliam, Johnson, and Gordy, Phys. Rev. 78, 140 (1950).
    [Crossref]
  8. Rank, Shearer, and Wiggins, Phys. Rev. 94, 575 (1954).
    [Crossref]
  9. D. H. Rank, J. Opt. Soc. Am. 44, 341 (1954).
    [Crossref]
  10. R. L. Anderson and T. A. Bancroft, Statistical Theory in Research (McGraw-Hill Book Company, Inc., New York, 1952).
  11. W. G. Cochran and S. P. Carroll, Biometrics 9, 447–459 (1953).
    [Crossref]

1954 (2)

Rank, Shearer, and Wiggins, Phys. Rev. 94, 575 (1954).
[Crossref]

D. H. Rank, J. Opt. Soc. Am. 44, 341 (1954).
[Crossref]

1953 (5)

W. G. Cochran and S. P. Carroll, Biometrics 9, 447–459 (1953).
[Crossref]

J. W. DuMond and E. R. Cohen, Revs. Modern Phys. 25, 691 (1953).
[Crossref]

A. E. Douglas and D. Sharma, J. Chem. Phys. 21, 448 (1953).
[Crossref]

Leo Goldberg and Edith A. Muller, Astrophys. J. 118, 397 (1953).
[Crossref]

Bedard, Gallagher, and Johnson, Phys. Rev. 92, 1440 (1953).
[Crossref]

1952 (1)

1950 (1)

Gilliam, Johnson, and Gordy, Phys. Rev. 78, 140 (1950).
[Crossref]

1941 (1)

R. T. Birge, Revs. Modern Phys. 13, 233 (1941); Repts. Progr. in Phys. 8, 92–101 (1941); N. E. Dorsey, Trans. Am. Phil. Soc. 34, Part 1 (1944).
[Crossref]

Anderson, R. L.

R. L. Anderson and T. A. Bancroft, Statistical Theory in Research (McGraw-Hill Book Company, Inc., New York, 1952).

Bancroft, T. A.

R. L. Anderson and T. A. Bancroft, Statistical Theory in Research (McGraw-Hill Book Company, Inc., New York, 1952).

Bedard,

Bedard, Gallagher, and Johnson, Phys. Rev. 92, 1440 (1953).
[Crossref]

Birge, R. T.

R. T. Birge, Revs. Modern Phys. 13, 233 (1941); Repts. Progr. in Phys. 8, 92–101 (1941); N. E. Dorsey, Trans. Am. Phil. Soc. 34, Part 1 (1944).
[Crossref]

Carroll, S. P.

W. G. Cochran and S. P. Carroll, Biometrics 9, 447–459 (1953).
[Crossref]

Cochran, W. G.

W. G. Cochran and S. P. Carroll, Biometrics 9, 447–459 (1953).
[Crossref]

Cohen, E. R.

J. W. DuMond and E. R. Cohen, Revs. Modern Phys. 25, 691 (1953).
[Crossref]

Douglas, A. E.

A. E. Douglas and D. Sharma, J. Chem. Phys. 21, 448 (1953).
[Crossref]

DuMond, J. W.

J. W. DuMond and E. R. Cohen, Revs. Modern Phys. 25, 691 (1953).
[Crossref]

Gallagher,

Bedard, Gallagher, and Johnson, Phys. Rev. 92, 1440 (1953).
[Crossref]

Gilliam,

Gilliam, Johnson, and Gordy, Phys. Rev. 78, 140 (1950).
[Crossref]

Goldberg, Leo

Leo Goldberg and Edith A. Muller, Astrophys. J. 118, 397 (1953).
[Crossref]

Gordy,

Gilliam, Johnson, and Gordy, Phys. Rev. 78, 140 (1950).
[Crossref]

Johnson,

Bedard, Gallagher, and Johnson, Phys. Rev. 92, 1440 (1953).
[Crossref]

Gilliam, Johnson, and Gordy, Phys. Rev. 78, 140 (1950).
[Crossref]

Muller, Edith A.

Leo Goldberg and Edith A. Muller, Astrophys. J. 118, 397 (1953).
[Crossref]

Rank,

Rank, D. H.

Ruth,

Sharma, D.

A. E. Douglas and D. Sharma, J. Chem. Phys. 21, 448 (1953).
[Crossref]

Shearer,

Rank, Shearer, and Wiggins, Phys. Rev. 94, 575 (1954).
[Crossref]

Van der Sluis,

Wiggins,

Rank, Shearer, and Wiggins, Phys. Rev. 94, 575 (1954).
[Crossref]

Astrophys. J. (1)

Leo Goldberg and Edith A. Muller, Astrophys. J. 118, 397 (1953).
[Crossref]

Biometrics (1)

W. G. Cochran and S. P. Carroll, Biometrics 9, 447–459 (1953).
[Crossref]

J. Chem. Phys. (1)

A. E. Douglas and D. Sharma, J. Chem. Phys. 21, 448 (1953).
[Crossref]

J. Opt. Soc. Am. (2)

Phys. Rev. (3)

Bedard, Gallagher, and Johnson, Phys. Rev. 92, 1440 (1953).
[Crossref]

Gilliam, Johnson, and Gordy, Phys. Rev. 78, 140 (1950).
[Crossref]

Rank, Shearer, and Wiggins, Phys. Rev. 94, 575 (1954).
[Crossref]

Revs. Modern Phys. (2)

R. T. Birge, Revs. Modern Phys. 13, 233 (1941); Repts. Progr. in Phys. 8, 92–101 (1941); N. E. Dorsey, Trans. Am. Phil. Soc. 34, Part 1 (1944).
[Crossref]

J. W. DuMond and E. R. Cohen, Revs. Modern Phys. 25, 691 (1953).
[Crossref]

Other (1)

R. L. Anderson and T. A. Bancroft, Statistical Theory in Research (McGraw-Hill Book Company, Inc., New York, 1952).

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Figures (1)

Fig. 1
Fig. 1

A diagram showing the optical arrangement of the spectrometer, the standard sources, and the interferometer. The mirror M9 is mounted on a lever and may be inserted or removed from the beam. A detailed description of the instrument and its operation is given in the text.

Tables (2)

Tables Icon

Table I Table of observed and calculated rotational lines of CO at 4.7 μ.

Tables Icon

Table II Constants of CO.

Equations (11)

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ν = 2 B 0 ( J + 1 ) - 4 D 0 ( J + 1 ) 3 ,
ν = ν 0 + ( B 1 + B 0 ) m + ( B 1 - B 0 - D 1 + D 0 ) m 2 - 2 ( D 1 + D 0 ) m 3 - ( D 1 - D 0 ) m 4 ,
c = B 0 micro / B 0 I R .
C = 299 792 ± 6 km / sec .
ν = ν 0 + ( B 1 + B 0 ) m + ( B 1 - B 0 ) m 2 - 4 D m 3
y i = ν 0 + ( B 1 + B 0 ) m i + ( B 1 - B 0 ) m i 2 - 4 D m i 3 + e i             ( i = 1 , , N ) .
i = 1 N ( y i - ν 0 - ( B 1 + B 0 ) m i - ( B 1 - B 0 ) m i 2 + 4 D m i 3 ) 2
N [ ν 0 ] + m [ ( B 1 + B 0 ) ] + m 2 [ ( B 1 - B 0 ) ] + m 3 [ ( - 4 D ) ] = y , m [ ν 0 ] + m 2 [ ( B 1 + B 0 ) ] + m 3 [ ( B 1 - B 0 ) ] + m 4 [ ( - 4 D ) ] = m y , m 2 [ ν 0 ] + m 3 [ ( B 1 + B 0 ) ] + m 4 [ ( B 1 - B 0 ) ] + m 5 [ ( - 4 D ) ] = m 2 y , m 3 [ ν 0 ] + m 4 [ ( B 1 + B 0 ) ] + m 5 [ ( B 1 - B 0 ) ] + m 6 [ ( - 4 D ) ] = m 3 y .
[ ν 0 ] = C 11 y + C 12 m y + C 13 m 2 y + C 14 m 3 y , [ B + B ] = C 21 y + C 22 m y + C 23 m 2 y + C 24 m 3 y , [ B - B ] = C 31 y + C 32 m y + C 33 m 2 y + C 34 m 3 y , [ - 4 D ] = C 41 y + C 42 m y + C 43 m 2 y + C 44 m 3 y ,
[ σ 2 ] = 1 ( N - 4 ) i = 1 N [ e i 2 ] ,
of [ B 1 ] = 1 2 [ ( B 1 + B 0 ) ] + [ ( B 1 - B 0 ) ] is 1 4 ( C 22 + C 33 + 2 C 23 ) σ 2 , of [ B 0 ] = 1 2 [ ( B 1 + B 0 ) ] - [ ( B 1 - B 0 ) ] is 1 4 ( C 22 + C 33 - 2 C 23 ) σ 2 ,