Abstract

Elastic velocity-changing collisions have been observed for the first time to our knowledge in a nonpolar molecule by photon-echo studies of SF6 using a frequency-switched CO2 laser that we have developed. The photon-echo decay is nonexponential and reveals the velocity-changing collision cross section to be σvc = 180 Å2, with an average velocity change per collision of Δu = 155 cm/sec. Using delayed optical nutation, we also determine the cross section for the population decay rate (1/T1) to be σpop = 335 Å2. To within experimental accuracy, we find that phase-interrupting collisions are not important (T1T2). A comparison of these cross sections with those for the polar molecule 13CH3F is made.

© 1981 Optical Society of America

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References

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  1. C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 20, 1087 (1968).
    [CrossRef]
  2. C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 19, 1019 (1967).
    [CrossRef]
  3. R. L. Shoemaker, Ann. Rev. Phys. Chem. 30, 239 (1979).
    [CrossRef]
  4. J. P. Gordon et al., Phys. Rev. 179, 294 (1979).
    [CrossRef]
  5. S. S. Alimpiev, N. V. Karlov, Sov. Phys. JETP 36, 255 (1973).
  6. J. R. Meckley, C. V. Herr, Phys. Lett. 46A, 41 (1973).
  7. C. V. Heer, R. J. Nordstrom, Phys. Rev. A 11, 536 (1975).
    [CrossRef]
  8. W. M. Gutman, C. V. Heer, Phys. Lett. 51A, 437 (1975).
  9. W. M. Gutman, C. V. Heer, Phys. Rev. A 16, 659 (1977).
    [CrossRef]
  10. J. Schmidt, P. R. Berman, R. G. Brewer, Phys. Rev. Lett. 31, 1103 (1973).
    [CrossRef]
  11. P. R. Berman, J. M. Levy, R. G. Brewer, Phys. Rev. A 11, 1668 (1975).
    [CrossRef]
  12. J. L. Hall, in Atomic Physics 3, S. J. Smith, G. K. Walters, eds. (Plenum, New York, 1973), p. 615.
    [CrossRef]
  13. R. G. Brewer, A. Z. Genack, Phys. Rev. Lett. 36, 959 (1976).
    [CrossRef]
  14. R. G. Brewer, R. L. Shoemaker, Phys. Rev. Lett. 27, 631 (1971).
    [CrossRef]
  15. C. Freed, IEEE J. Quantum Electron. QE-4, 404 (1968); IEEE J. Quantum Electron. QE-3, 203 (1967).
    [CrossRef]
  16. R. S. McDowell et al., J. Mol. Spectrosc. 68, 288 (1977).
    [CrossRef]
  17. J. Keilson, J. E. Storer, Q. Appl. Math. 10, 243 (1952).
  18. R. L. Shoemaker, in Laser and Coherence Spectroscopy, J. I. Steinfeld, ed. (Plenum, New York, 1978), p. 197.
    [CrossRef]
  19. P. R. Berman, Department of Physics, New York University, New York, N.Y. 10003, personal communication. Because of an error in the formula used for the cross-section calculation, the cross sections quoted in Ref. 11 are slightly larger than the corrected values given here.

1979 (2)

R. L. Shoemaker, Ann. Rev. Phys. Chem. 30, 239 (1979).
[CrossRef]

J. P. Gordon et al., Phys. Rev. 179, 294 (1979).
[CrossRef]

1977 (2)

W. M. Gutman, C. V. Heer, Phys. Rev. A 16, 659 (1977).
[CrossRef]

R. S. McDowell et al., J. Mol. Spectrosc. 68, 288 (1977).
[CrossRef]

1976 (1)

R. G. Brewer, A. Z. Genack, Phys. Rev. Lett. 36, 959 (1976).
[CrossRef]

1975 (3)

P. R. Berman, J. M. Levy, R. G. Brewer, Phys. Rev. A 11, 1668 (1975).
[CrossRef]

C. V. Heer, R. J. Nordstrom, Phys. Rev. A 11, 536 (1975).
[CrossRef]

W. M. Gutman, C. V. Heer, Phys. Lett. 51A, 437 (1975).

1973 (3)

S. S. Alimpiev, N. V. Karlov, Sov. Phys. JETP 36, 255 (1973).

J. R. Meckley, C. V. Herr, Phys. Lett. 46A, 41 (1973).

J. Schmidt, P. R. Berman, R. G. Brewer, Phys. Rev. Lett. 31, 1103 (1973).
[CrossRef]

1971 (1)

R. G. Brewer, R. L. Shoemaker, Phys. Rev. Lett. 27, 631 (1971).
[CrossRef]

1968 (2)

C. Freed, IEEE J. Quantum Electron. QE-4, 404 (1968); IEEE J. Quantum Electron. QE-3, 203 (1967).
[CrossRef]

C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 20, 1087 (1968).
[CrossRef]

1967 (1)

C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 19, 1019 (1967).
[CrossRef]

1952 (1)

J. Keilson, J. E. Storer, Q. Appl. Math. 10, 243 (1952).

Alimpiev, S. S.

S. S. Alimpiev, N. V. Karlov, Sov. Phys. JETP 36, 255 (1973).

Berman, P. R.

P. R. Berman, J. M. Levy, R. G. Brewer, Phys. Rev. A 11, 1668 (1975).
[CrossRef]

J. Schmidt, P. R. Berman, R. G. Brewer, Phys. Rev. Lett. 31, 1103 (1973).
[CrossRef]

P. R. Berman, Department of Physics, New York University, New York, N.Y. 10003, personal communication. Because of an error in the formula used for the cross-section calculation, the cross sections quoted in Ref. 11 are slightly larger than the corrected values given here.

Brewer, R. G.

R. G. Brewer, A. Z. Genack, Phys. Rev. Lett. 36, 959 (1976).
[CrossRef]

P. R. Berman, J. M. Levy, R. G. Brewer, Phys. Rev. A 11, 1668 (1975).
[CrossRef]

J. Schmidt, P. R. Berman, R. G. Brewer, Phys. Rev. Lett. 31, 1103 (1973).
[CrossRef]

R. G. Brewer, R. L. Shoemaker, Phys. Rev. Lett. 27, 631 (1971).
[CrossRef]

Freed, C.

C. Freed, IEEE J. Quantum Electron. QE-4, 404 (1968); IEEE J. Quantum Electron. QE-3, 203 (1967).
[CrossRef]

Genack, A. Z.

R. G. Brewer, A. Z. Genack, Phys. Rev. Lett. 36, 959 (1976).
[CrossRef]

Gordon, J. P.

J. P. Gordon et al., Phys. Rev. 179, 294 (1979).
[CrossRef]

Gutman, W. M.

W. M. Gutman, C. V. Heer, Phys. Rev. A 16, 659 (1977).
[CrossRef]

W. M. Gutman, C. V. Heer, Phys. Lett. 51A, 437 (1975).

Hall, J. L.

J. L. Hall, in Atomic Physics 3, S. J. Smith, G. K. Walters, eds. (Plenum, New York, 1973), p. 615.
[CrossRef]

Heer, C. V.

W. M. Gutman, C. V. Heer, Phys. Rev. A 16, 659 (1977).
[CrossRef]

W. M. Gutman, C. V. Heer, Phys. Lett. 51A, 437 (1975).

C. V. Heer, R. J. Nordstrom, Phys. Rev. A 11, 536 (1975).
[CrossRef]

Herr, C. V.

J. R. Meckley, C. V. Herr, Phys. Lett. 46A, 41 (1973).

Karlov, N. V.

S. S. Alimpiev, N. V. Karlov, Sov. Phys. JETP 36, 255 (1973).

Keilson, J.

J. Keilson, J. E. Storer, Q. Appl. Math. 10, 243 (1952).

Levy, J. M.

P. R. Berman, J. M. Levy, R. G. Brewer, Phys. Rev. A 11, 1668 (1975).
[CrossRef]

McDowell, R. S.

R. S. McDowell et al., J. Mol. Spectrosc. 68, 288 (1977).
[CrossRef]

Meckley, J. R.

J. R. Meckley, C. V. Herr, Phys. Lett. 46A, 41 (1973).

Nordstrom, R. J.

C. V. Heer, R. J. Nordstrom, Phys. Rev. A 11, 536 (1975).
[CrossRef]

Patel, C. K. N.

C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 20, 1087 (1968).
[CrossRef]

C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 19, 1019 (1967).
[CrossRef]

Schmidt, J.

J. Schmidt, P. R. Berman, R. G. Brewer, Phys. Rev. Lett. 31, 1103 (1973).
[CrossRef]

Shoemaker, R. L.

R. L. Shoemaker, Ann. Rev. Phys. Chem. 30, 239 (1979).
[CrossRef]

R. G. Brewer, R. L. Shoemaker, Phys. Rev. Lett. 27, 631 (1971).
[CrossRef]

R. L. Shoemaker, in Laser and Coherence Spectroscopy, J. I. Steinfeld, ed. (Plenum, New York, 1978), p. 197.
[CrossRef]

Slusher, R. E.

C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 20, 1087 (1968).
[CrossRef]

C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 19, 1019 (1967).
[CrossRef]

Storer, J. E.

J. Keilson, J. E. Storer, Q. Appl. Math. 10, 243 (1952).

Ann. Rev. Phys. Chem. (1)

R. L. Shoemaker, Ann. Rev. Phys. Chem. 30, 239 (1979).
[CrossRef]

IEEE J. Quantum Electron. (1)

C. Freed, IEEE J. Quantum Electron. QE-4, 404 (1968); IEEE J. Quantum Electron. QE-3, 203 (1967).
[CrossRef]

J. Mol. Spectrosc. (1)

R. S. McDowell et al., J. Mol. Spectrosc. 68, 288 (1977).
[CrossRef]

Phys. Lett. (2)

J. R. Meckley, C. V. Herr, Phys. Lett. 46A, 41 (1973).

W. M. Gutman, C. V. Heer, Phys. Lett. 51A, 437 (1975).

Phys. Rev. (1)

J. P. Gordon et al., Phys. Rev. 179, 294 (1979).
[CrossRef]

Phys. Rev. A (3)

W. M. Gutman, C. V. Heer, Phys. Rev. A 16, 659 (1977).
[CrossRef]

C. V. Heer, R. J. Nordstrom, Phys. Rev. A 11, 536 (1975).
[CrossRef]

P. R. Berman, J. M. Levy, R. G. Brewer, Phys. Rev. A 11, 1668 (1975).
[CrossRef]

Phys. Rev. Lett. (5)

R. G. Brewer, A. Z. Genack, Phys. Rev. Lett. 36, 959 (1976).
[CrossRef]

R. G. Brewer, R. L. Shoemaker, Phys. Rev. Lett. 27, 631 (1971).
[CrossRef]

J. Schmidt, P. R. Berman, R. G. Brewer, Phys. Rev. Lett. 31, 1103 (1973).
[CrossRef]

C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 20, 1087 (1968).
[CrossRef]

C. K. N. Patel, R. E. Slusher, Phys. Rev. Lett. 19, 1019 (1967).
[CrossRef]

Q. Appl. Math. (1)

J. Keilson, J. E. Storer, Q. Appl. Math. 10, 243 (1952).

Sov. Phys. JETP (1)

S. S. Alimpiev, N. V. Karlov, Sov. Phys. JETP 36, 255 (1973).

Other (3)

R. L. Shoemaker, in Laser and Coherence Spectroscopy, J. I. Steinfeld, ed. (Plenum, New York, 1978), p. 197.
[CrossRef]

P. R. Berman, Department of Physics, New York University, New York, N.Y. 10003, personal communication. Because of an error in the formula used for the cross-section calculation, the cross sections quoted in Ref. 11 are slightly larger than the corrected values given here.

J. L. Hall, in Atomic Physics 3, S. J. Smith, G. K. Walters, eds. (Plenum, New York, 1973), p. 615.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Photon-echo decay curve for the ν3 = 0 → 1 Q(38) line of SF6 at 5.5 mTorr. The logarithm of the photon-echo amplitude versus time delay after the initial excitation pulse is shown. The solid line indicates the result that would be obtained for a single exponential decay.

Fig. 2
Fig. 2

Delayed optical nutation decay curve for the ν3 = 0 → 1 Q(38) line of SF6 at 13.5 mTorr. The plot shows a single exponential decay of the population difference back to thermal equilibrium.

Equations (6)

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peak exp ( 2 γ ab τ 2 Γ vc τ + 4 Γ vc k Δ u 0 k Δ u τ / 2 e η 2 d η ) ,
peak exp ( 2 γ a b τ ) exp ( Γ vc k 2 Δ u 2 τ 3 / 6 ) ,
peak exp ( 2 γ a b τ ) exp ( 2 Γ vc τ ) .
S ( τ ) S ( ) e γ a τ + e γ b τ ,
σ vc = 180 Å 2 , Δ u = 155 cm / sec ; σ pop = 335 Å 2 , Δ u / u ¯ = 0 . 0084 .
σ vc = 380 Å 2 , Δ u = 85 cm / sec ; σ pop = 440 Å 2 , Δ u / u ¯ = 0 . 0022 .

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