Abstract

We have measured the differential Stark shift in the 6s6p3P1 state of mercury. The technique we used was to measure the shift in the magnetic-field level crossing in 199Hg when an additional electric field was applied. We obtained the value E(mJ = ±1) − E(mJ = 0) = −2.367 ± 0.024 kHz/(kV/cm)2 · 2, where is the electric field.

© 1972 Optical Society of America

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References

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  1. J. E. Blamont, Ann. Phys. (Paris) 2, 551 (1957).
  2. J. Brossel and F. Bitter, Phys. Rev. 86, 308 (1952).
    [Crossref]
  3. A. Khadjavi, A. Lurio, and W. Happer, Phys. Rev. 167, 128 (1968).
    [Crossref]
  4. F. D. Colegrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959).
    [Crossref]
  5. B. Budick, S. Marcus, and R. Novick, Phys. Rev. 140, A1041 (1965).
    [Crossref]
  6. B. Cagnac and J. Brossel, Compt. Rend. 249, 77 (1959).
  7. O. Redi and H. H. Stroke, Phys. Rev. A 2, 1135 (1970).
    [Crossref]
  8. E. Klein, Z. Physik 208, 28 (1968).
    [Crossref]
  9. Type PL-40 by Polacoat, Inc., Blue Ash, Ohio 45242.
  10. A. Khadjavi, Ph.D. thesis, Columbia University, 1967.
  11. B. V. Rollin, Rept. Progr. Phys. 12, 22 (1949).
    [Crossref]
  12. E. B. Aleksandrov and V. V. Khromov, Opt. Spectrosk. 18, 545 (1965) [Opt. Spectrosc. (USSR) 18, 313 (1965)].
  13. J. J. Forney and E. Geneux, Phys. Letters 20, 632 (1966).
    [Crossref]
  14. Reference 3, Eq. (33).

1970 (1)

O. Redi and H. H. Stroke, Phys. Rev. A 2, 1135 (1970).
[Crossref]

1968 (2)

E. Klein, Z. Physik 208, 28 (1968).
[Crossref]

A. Khadjavi, A. Lurio, and W. Happer, Phys. Rev. 167, 128 (1968).
[Crossref]

1966 (1)

J. J. Forney and E. Geneux, Phys. Letters 20, 632 (1966).
[Crossref]

1965 (2)

E. B. Aleksandrov and V. V. Khromov, Opt. Spectrosk. 18, 545 (1965) [Opt. Spectrosc. (USSR) 18, 313 (1965)].

B. Budick, S. Marcus, and R. Novick, Phys. Rev. 140, A1041 (1965).
[Crossref]

1959 (2)

B. Cagnac and J. Brossel, Compt. Rend. 249, 77 (1959).

F. D. Colegrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959).
[Crossref]

1957 (1)

J. E. Blamont, Ann. Phys. (Paris) 2, 551 (1957).

1952 (1)

J. Brossel and F. Bitter, Phys. Rev. 86, 308 (1952).
[Crossref]

1949 (1)

B. V. Rollin, Rept. Progr. Phys. 12, 22 (1949).
[Crossref]

Aleksandrov, E. B.

E. B. Aleksandrov and V. V. Khromov, Opt. Spectrosk. 18, 545 (1965) [Opt. Spectrosc. (USSR) 18, 313 (1965)].

Bitter, F.

J. Brossel and F. Bitter, Phys. Rev. 86, 308 (1952).
[Crossref]

Blamont, J. E.

J. E. Blamont, Ann. Phys. (Paris) 2, 551 (1957).

Brossel, J.

B. Cagnac and J. Brossel, Compt. Rend. 249, 77 (1959).

J. Brossel and F. Bitter, Phys. Rev. 86, 308 (1952).
[Crossref]

Budick, B.

B. Budick, S. Marcus, and R. Novick, Phys. Rev. 140, A1041 (1965).
[Crossref]

Cagnac, B.

B. Cagnac and J. Brossel, Compt. Rend. 249, 77 (1959).

Colegrove, F. D.

F. D. Colegrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959).
[Crossref]

Forney, J. J.

J. J. Forney and E. Geneux, Phys. Letters 20, 632 (1966).
[Crossref]

Franken, P. A.

F. D. Colegrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959).
[Crossref]

Geneux, E.

J. J. Forney and E. Geneux, Phys. Letters 20, 632 (1966).
[Crossref]

Happer, W.

A. Khadjavi, A. Lurio, and W. Happer, Phys. Rev. 167, 128 (1968).
[Crossref]

Khadjavi, A.

A. Khadjavi, A. Lurio, and W. Happer, Phys. Rev. 167, 128 (1968).
[Crossref]

A. Khadjavi, Ph.D. thesis, Columbia University, 1967.

Khromov, V. V.

E. B. Aleksandrov and V. V. Khromov, Opt. Spectrosk. 18, 545 (1965) [Opt. Spectrosc. (USSR) 18, 313 (1965)].

Klein, E.

E. Klein, Z. Physik 208, 28 (1968).
[Crossref]

Lewis, R. R.

F. D. Colegrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959).
[Crossref]

Lurio, A.

A. Khadjavi, A. Lurio, and W. Happer, Phys. Rev. 167, 128 (1968).
[Crossref]

Marcus, S.

B. Budick, S. Marcus, and R. Novick, Phys. Rev. 140, A1041 (1965).
[Crossref]

Novick, R.

B. Budick, S. Marcus, and R. Novick, Phys. Rev. 140, A1041 (1965).
[Crossref]

Redi, O.

O. Redi and H. H. Stroke, Phys. Rev. A 2, 1135 (1970).
[Crossref]

Rollin, B. V.

B. V. Rollin, Rept. Progr. Phys. 12, 22 (1949).
[Crossref]

Sands, R. H.

F. D. Colegrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959).
[Crossref]

Stroke, H. H.

O. Redi and H. H. Stroke, Phys. Rev. A 2, 1135 (1970).
[Crossref]

Ann. Phys. (Paris) (1)

J. E. Blamont, Ann. Phys. (Paris) 2, 551 (1957).

Compt. Rend. (1)

B. Cagnac and J. Brossel, Compt. Rend. 249, 77 (1959).

Opt. Spectrosk. (1)

E. B. Aleksandrov and V. V. Khromov, Opt. Spectrosk. 18, 545 (1965) [Opt. Spectrosc. (USSR) 18, 313 (1965)].

Phys. Letters (1)

J. J. Forney and E. Geneux, Phys. Letters 20, 632 (1966).
[Crossref]

Phys. Rev. (3)

B. Budick, S. Marcus, and R. Novick, Phys. Rev. 140, A1041 (1965).
[Crossref]

J. Brossel and F. Bitter, Phys. Rev. 86, 308 (1952).
[Crossref]

A. Khadjavi, A. Lurio, and W. Happer, Phys. Rev. 167, 128 (1968).
[Crossref]

Phys. Rev. A (1)

O. Redi and H. H. Stroke, Phys. Rev. A 2, 1135 (1970).
[Crossref]

Phys. Rev. Letters (1)

F. D. Colegrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959).
[Crossref]

Rept. Progr. Phys. (1)

B. V. Rollin, Rept. Progr. Phys. 12, 22 (1949).
[Crossref]

Z. Physik (1)

E. Klein, Z. Physik 208, 28 (1968).
[Crossref]

Other (3)

Type PL-40 by Polacoat, Inc., Blue Ash, Ohio 45242.

A. Khadjavi, Ph.D. thesis, Columbia University, 1967.

Reference 3, Eq. (33).

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Figures (3)

Fig. 1
Fig. 1

Zeeman energy-level diagram for the 6s6p 3P1 state of 199Hg. The observed level-crossing region is boxed in.

Fig. 2
Fig. 2

(a) Enlargement of the level-crossing region where the F = 3 2 , m F = - 3 2 and F = 1 2 , m F = + 1 2 levels become degenerate. The levels are shown with the electric field on and off. Dashed lines—electric field on. Solid lines—electric field off. (b) Output of lock-in amplifier for a single increasing magnetic-field sweep through the level-crossing region. Electric field on for first half of sweep and off for second half. Note transient that occurs as electric field is switched off in middle of sweep. Sweep rate 1 G/min. Lock-in time constant 10 s. Magnetic-field modulation 0.9 G peak to peak at 40 Hz.

Fig. 3
Fig. 3

Drawing of Stark cell.

Equations (19)

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E ( m J = ± 1 ) - E ( m J = 0 ) = - 2.130 ± 0.050 kHz / ( kV / cm ) 2 · 2
E ( m J = ± 1 ) - E ( m J = 0 ) = - 2.355 ± 0.090 kHz / ( kV / cm ) 2 · 2
H 0 = A I · J + g J μ 0 H J z + g I μ 0 H I z .
F = 3 2 , m F = - 3 2 = m J = - 1 , m I = - 1 2 ,
F = 1 2 , m F = + 1 2 = 2 3 m J = 0 , m I = + 1 2 - 1 3 m J = + 1 , m I = - 1 2 .
H = - 1 2 [ α 0 + α 2 ( 3 J z 2 - 2 ) ] 2 ,
Δ E ( F = 3 2 , m F = - 3 2 ) = 3 2 , - 3 2 H 3 2 , - 3 2 = - 1 2 α 0 2 - 1 2 α 2 2 ,
Δ E ( F = 1 2 , m F = + 1 2 ) = 1 2 , + 1 2 H 1 2 , + 1 2 = - 1 2 α 0 2 + 1 2 α 2 2 .
Δ H = - Δ E ( F = 3 2 , m F = - 3 2 ) - Δ E ( F = 1 2 , m F = + 1 2 ) d E / d H ( F = 3 2 , m F = - 3 2 ) - d E / d H ( F = 1 2 , m F = + 1 2 ) .
d E / d H ( F = 3 2 , m F = - 3 2 ) = - g J μ 0 ,
d E / d H ( F = 1 2 , m F = + 1 2 ) = + 1 3 g J μ 0 .
Δ f p = 2 μ p Δ H / h ,
Δ f p = - 3 2 g J h ( μ p μ 0 ) α 2 2
α 2 = 2 g J h 3 ( μ 0 μ p ) Δ f p 2 .
g J = 1.4861
( μ 0 / μ p ) = 657.46
α 2 = 651.37 Δ f p 2 .
E ( m J = ± 1 ) - E ( m J = 0 ) = - 3 2 α 2 2 .
E ( m J = ± 1 ) - E ( m J = 0 ) = - 2.367 ± 0.024 kHz / ( kV / cm ) 2 · 2