Abstract

Two recent detailed models of multiple-photon excitation in SF6 are compared. By performing equivalent vibration–rotation calculations using the two different basis sets, we have found that the results are in complete agreement. Rotational effects in both cases completely overshadow the vibrational structure, making a triply degenerate anharmonic oscillator model sufficient for describing multiple-photon excitation in SF6.

© 1978 Optical Society of America

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References

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  1. J. R. Ackerhalt, H. W. Galbraith, J. Chem. Phys. 69, 1200 (1978).
    [CrossRef]
  2. C. D. Cantrell, K. Fox, Opt. Lett. 2, 151 (1978).
    [CrossRef] [PubMed]
  3. C. D. Cantrell, H. W. Galbraith, Opt. Commun. 18, 5131976; Opt. Commun. 21, 374 (1977).
    [CrossRef]
  4. H. W. Galbraith, Opt. Lett. 2, 000 (1978).
  5. M. F. Goodman, J. Stone, D. A. Dows, J. Chem. Phys. 65, 5052 (1976); J. Stone, M. F. Goodman, D. A. Dows, J. Chem. Phys. 65, 5062 (1976).
    [CrossRef]

1978 (3)

J. R. Ackerhalt, H. W. Galbraith, J. Chem. Phys. 69, 1200 (1978).
[CrossRef]

H. W. Galbraith, Opt. Lett. 2, 000 (1978).

C. D. Cantrell, K. Fox, Opt. Lett. 2, 151 (1978).
[CrossRef] [PubMed]

1976 (2)

M. F. Goodman, J. Stone, D. A. Dows, J. Chem. Phys. 65, 5052 (1976); J. Stone, M. F. Goodman, D. A. Dows, J. Chem. Phys. 65, 5062 (1976).
[CrossRef]

C. D. Cantrell, H. W. Galbraith, Opt. Commun. 18, 5131976; Opt. Commun. 21, 374 (1977).
[CrossRef]

Ackerhalt, J. R.

J. R. Ackerhalt, H. W. Galbraith, J. Chem. Phys. 69, 1200 (1978).
[CrossRef]

Cantrell, C. D.

C. D. Cantrell, K. Fox, Opt. Lett. 2, 151 (1978).
[CrossRef] [PubMed]

C. D. Cantrell, H. W. Galbraith, Opt. Commun. 18, 5131976; Opt. Commun. 21, 374 (1977).
[CrossRef]

Dows, D. A.

M. F. Goodman, J. Stone, D. A. Dows, J. Chem. Phys. 65, 5052 (1976); J. Stone, M. F. Goodman, D. A. Dows, J. Chem. Phys. 65, 5062 (1976).
[CrossRef]

Fox, K.

Galbraith, H. W.

J. R. Ackerhalt, H. W. Galbraith, J. Chem. Phys. 69, 1200 (1978).
[CrossRef]

H. W. Galbraith, Opt. Lett. 2, 000 (1978).

C. D. Cantrell, H. W. Galbraith, Opt. Commun. 18, 5131976; Opt. Commun. 21, 374 (1977).
[CrossRef]

Goodman, M. F.

M. F. Goodman, J. Stone, D. A. Dows, J. Chem. Phys. 65, 5052 (1976); J. Stone, M. F. Goodman, D. A. Dows, J. Chem. Phys. 65, 5062 (1976).
[CrossRef]

Stone, J.

M. F. Goodman, J. Stone, D. A. Dows, J. Chem. Phys. 65, 5052 (1976); J. Stone, M. F. Goodman, D. A. Dows, J. Chem. Phys. 65, 5062 (1976).
[CrossRef]

J. Chem. Phys. (2)

J. R. Ackerhalt, H. W. Galbraith, J. Chem. Phys. 69, 1200 (1978).
[CrossRef]

M. F. Goodman, J. Stone, D. A. Dows, J. Chem. Phys. 65, 5052 (1976); J. Stone, M. F. Goodman, D. A. Dows, J. Chem. Phys. 65, 5062 (1976).
[CrossRef]

Opt. Commun. (1)

C. D. Cantrell, H. W. Galbraith, Opt. Commun. 18, 5131976; Opt. Commun. 21, 374 (1977).
[CrossRef]

Opt. Lett. (2)

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Figures (2)

Fig. 1
Fig. 1

Excitation versus frequency (uncoupled-basis model). Curves labeled 〈N〉, 1, 2, and 3 represent the average number of photons absorbed (time averaged over long pulse lengths) and time-averaged populations in 1, 2, and 3 ν3, respectively.

Fig. 2
Fig. 2

Excitation versus frequency (coupled-basis model). Curves have the same interpretation as those of Fig. (1).

Equations (3)

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E ( n l J R ) = n ν 3 + X 33 n ( n - 1 ) + G 33 l ( l + 1 ) + B J ( J + 1 ) + B ζ 3 [ R ( R + 1 ) - J ( J + 1 ) - l ( l + 1 ) ] .
E ( n l J R ) - E 0 ( J 0 ) = n ν 3 + X 33 n ( n - 1 ) + G ¯ 33 l ( l + 1 ) + B ¯ J ( J + 1 ) - B ¯ 0 J 0 ( J 0 + 1 ) ,
G ¯ 33 = G 33 - B ζ 3 , B ¯ = B - B ζ 3 , B ¯ 0 = B 0 - B ζ 3 ,

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