Abstract

The vapor pressure of potassium has been measured in absorption using a cw tunable laser and calibrated against the accurate radiative lifetime of the 4s—4p doublet of potassium. An accurate value of 20,850 ± 30 cal/mol for the heat of vaporization (from the liquid phase) at the melting point was determined.

© 1983 Optical Society of America

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References

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  1. R. Honig, RCA Rev. 23, 567 (1962).
  2. A. N. Nesmeyanov, Vapor Pressure of the Elements (Academic, New York, 1963).
  3. R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, D. D. Wagman, Selected Values of Thermodynamic Properties of the Elements (American Society for Metals, Metal Park, Ohio, 1973).
  4. W. M. Fairbank, T. M. Hansch, A. L. Schawlow, J. Opt. Soc. Am. 65, 199 (1975).
    [CrossRef]
  5. D. M. Bakalyar, J. V. James, C. C. Wang, Appl. Opt. 21, 2901 (1982).
    [CrossRef] [PubMed]
  6. G. Stephenson, Proc. Phys. Soc. London A 64, 458 (1951).
    [CrossRef]
  7. J. K. Link, J. Opt. Soc. Am. 56, 1195 (1966).
    [CrossRef]
  8. M. Ioli, F. Stumia, A. Moretti, J. Opt. Soc. Am. 61, 1251 (1971).
    [CrossRef]
  9. C. M. Huang, C. C. Wang, Phys. Rev. Lett. 46, 1195 (1981).
    [CrossRef]
  10. C. E. Whitings, J. Quant. Spectrosc. Radiat. Transfer 8, 1379 (1969).
    [CrossRef]
  11. C. C. Wang, B. Shirinzadeh, Phys. Rev. A, 28, 1166 (1983).
    [CrossRef]

1983 (1)

C. C. Wang, B. Shirinzadeh, Phys. Rev. A, 28, 1166 (1983).
[CrossRef]

1982 (1)

1981 (1)

C. M. Huang, C. C. Wang, Phys. Rev. Lett. 46, 1195 (1981).
[CrossRef]

1975 (1)

1971 (1)

1969 (1)

C. E. Whitings, J. Quant. Spectrosc. Radiat. Transfer 8, 1379 (1969).
[CrossRef]

1966 (1)

1962 (1)

R. Honig, RCA Rev. 23, 567 (1962).

1951 (1)

G. Stephenson, Proc. Phys. Soc. London A 64, 458 (1951).
[CrossRef]

Bakalyar, D. M.

Desai, P. D.

R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, D. D. Wagman, Selected Values of Thermodynamic Properties of the Elements (American Society for Metals, Metal Park, Ohio, 1973).

Fairbank, W. M.

Gleiser, M.

R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, D. D. Wagman, Selected Values of Thermodynamic Properties of the Elements (American Society for Metals, Metal Park, Ohio, 1973).

Hansch, T. M.

Hawkins, D. T.

R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, D. D. Wagman, Selected Values of Thermodynamic Properties of the Elements (American Society for Metals, Metal Park, Ohio, 1973).

Honig, R.

R. Honig, RCA Rev. 23, 567 (1962).

Huang, C. M.

C. M. Huang, C. C. Wang, Phys. Rev. Lett. 46, 1195 (1981).
[CrossRef]

Hultgren, R.

R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, D. D. Wagman, Selected Values of Thermodynamic Properties of the Elements (American Society for Metals, Metal Park, Ohio, 1973).

Ioli, M.

James, J. V.

Kelley, K. K.

R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, D. D. Wagman, Selected Values of Thermodynamic Properties of the Elements (American Society for Metals, Metal Park, Ohio, 1973).

Link, J. K.

Moretti, A.

Nesmeyanov, A. N.

A. N. Nesmeyanov, Vapor Pressure of the Elements (Academic, New York, 1963).

Schawlow, A. L.

Shirinzadeh, B.

C. C. Wang, B. Shirinzadeh, Phys. Rev. A, 28, 1166 (1983).
[CrossRef]

Stephenson, G.

G. Stephenson, Proc. Phys. Soc. London A 64, 458 (1951).
[CrossRef]

Stumia, F.

Wagman, D. D.

R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, D. D. Wagman, Selected Values of Thermodynamic Properties of the Elements (American Society for Metals, Metal Park, Ohio, 1973).

Wang, C. C.

C. C. Wang, B. Shirinzadeh, Phys. Rev. A, 28, 1166 (1983).
[CrossRef]

D. M. Bakalyar, J. V. James, C. C. Wang, Appl. Opt. 21, 2901 (1982).
[CrossRef] [PubMed]

C. M. Huang, C. C. Wang, Phys. Rev. Lett. 46, 1195 (1981).
[CrossRef]

Whitings, C. E.

C. E. Whitings, J. Quant. Spectrosc. Radiat. Transfer 8, 1379 (1969).
[CrossRef]

Appl. Opt. (1)

J. Opt. Soc. Am. (3)

J. Quant. Spectrosc. Radiat. Transfer (1)

C. E. Whitings, J. Quant. Spectrosc. Radiat. Transfer 8, 1379 (1969).
[CrossRef]

Phys. Rev. A (1)

C. C. Wang, B. Shirinzadeh, Phys. Rev. A, 28, 1166 (1983).
[CrossRef]

Phys. Rev. Lett. (1)

C. M. Huang, C. C. Wang, Phys. Rev. Lett. 46, 1195 (1981).
[CrossRef]

Proc. Phys. Soc. London A (1)

G. Stephenson, Proc. Phys. Soc. London A 64, 458 (1951).
[CrossRef]

RCA Rev. (1)

R. Honig, RCA Rev. 23, 567 (1962).

Other (2)

A. N. Nesmeyanov, Vapor Pressure of the Elements (Academic, New York, 1963).

R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, D. D. Wagman, Selected Values of Thermodynamic Properties of the Elements (American Society for Metals, Metal Park, Ohio, 1973).

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Figures (6)

Fig. 1
Fig. 1

Schematic diagram of the absorption experiment: C.I., confocal interferometer; PMT, photomultiplier tube.

Fig. 2
Fig. 2

Sketch of the absorption cells with (a) 0.5 cm and (b) 20 and 30 cm in length.

Fig. 3
Fig. 3

Calibration factor for the range of frequency scan indicated on the chart recorder. The linear dependence observed herein is a result of the fact that a fixed scanning voltage was used and that, for a given scanning voltage, the frequency range of scanning (in wave number) increases linearly with frequency.

Fig. 4
Fig. 4

Deviations in the least-squares fit of the experimental value logP with Eq. (9) over the temperature range from 20 to 103°C.

Fig. 5
Fig. 5

Values of oscillator strength for some of the transitions measured over different ranges of temperatures. For the sake of clarity, results for other transitions are not included in this figure.

Fig. 6
Fig. 6

Semilogarithmic plot of the experimental and calculated [Eq. (9)] vapor pressure values as a function of 1/T, the inverse of the absolute temperature.

Tables (5)

Tables Icon

Table I Values of the Coefficients α, β, γ, and λ for Potassium Derived by Fitting Eq. (8) to the Specific Heat Data of Ref. 3 for the Range From 250 to 1600 K

Tables Icon

Table II Values of the Constants a, b, c, d, and e for Potassium.a

Tables Icon

Table III Vapor Pressure Values Calculated from Eq. (9) in the Temperature Range from 240 to 1620 K

Tables Icon

Table IV Comparison of the Vapor Pressure Values of Honig with Those Deduced from Present Measurements

Tables Icon

Table V Comparison of the Vapor Pressure Values of Hultgren with Those Deduced from Present Measurements

Equations (10)

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I ( ν ) = I 0 exp [ n l σ ( ν ) ] ,
n l σ ( ν ) = ln [ I 0 / I ( ν ) ] ,
σ ( ν ) d ν = π r 0 c f = 1 n l ln [ I 0 / I ( ν ) ] d ν ,
d d T ( ln P ) = Δ H υ R T 2 .
Δ H υ = Δ H υ 0 ϕ m U ( T T m ) + 0 T Δ cpdT
U ( T T m ) = 1 , T T m = 0 , T < T m
Δ c p = c p ( g ) c p ,
Δ c P = α + β ( T T m ) + γ ( T T m ) 2 + λ ( T T m ) 3 ,
log P f c ( T ) = A / T + B ,
A = Δ H υ m 2.303 R , B = 1 2.303 R ( R ln P m + Δ H υ m T m ) , f c ( T ) = a R log ( T T m ) + b 2.303 R ( T T m ) + c 2 ( T 2 T m 2 ) 2.303 R + e 3 ( T 3 T m 3 ) 2.303 R ( ϕ m d ) 2.303 R ( 1 T 1 T m ) ,

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