Abstract

Transition probabilities for the array 5p46p–5p46s of Xe ii are calculated using semiempirical intermediate coupling coefficients and ab initio relativistic transition integrals. Our results agree well with Andersen’s observations and also corroborate new measurements by Helbig and Boge, who introduce a correction to Boltzmann statistics due to “quasibound” states.

© 1976 Optical Society of America

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References

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  1. V. Helbig and G. Böge (private communication, 1975).
  2. M. A. Levchenko, Izv. Vyssh. Uchebn. Zaved. Fiz. 10, 147 (1971).
  3. M. Miller, R. Roig, and R. D. Bengtson, Phys. Rev. A 8, 480 (1973).
    [CrossRef]
  4. K. E. Donnelly, P. J. Kindlmann, and W. R. Bennett, J. Opt. Soc. Am. 63, 1438 (1973).
    [CrossRef]
  5. E. Jiménez, J. Campos, and C. Sánches del Rio, J. Opt. Soc. Am. 64, 1009 (1974).
    [CrossRef]
  6. L. Allen, D. G. C. Jones, and D. G. Schofield, J. Opt. Soc. Am. 59, 842 (1969).
    [CrossRef]
  7. T. Andersen, O. H. Madsen, and G. Sørensen, Phys. Scr. 6, 125 (1972).
    [CrossRef]
  8. I. Martinsson (private communication, 1975).
  9. U. Fink, S. Bashkin, and W. S. Bickel, J. Quant. Spect. Rad. Trans. 10, 1241 (1970).
    [CrossRef]
  10. Th. M. Z. El Sherbini, Physik Z. 275, 1 (1975).
    [CrossRef]
  11. L. Holmgren and S. Garpman, Phys. Scr. 10, 215 (1974).
    [CrossRef]
  12. N. Spector and S. Garpman (to be published, 1976).
  13. J. L. Tech, N. B. S. J. Res. 67A, 55 (1963).
    [CrossRef]
  14. C. J. Humphreys, J. Res. Nat. Bur. Stand. 22, 19 (1939).
    [CrossRef]
  15. L. Minnhagen (private communication, 1975).
  16. C. J. Humphreys, W. F. Meggers, and T. L. de Bruin, J. Res. Nat. Bur. Stand. 23, 683 (1939).
    [CrossRef]

1975 (1)

Th. M. Z. El Sherbini, Physik Z. 275, 1 (1975).
[CrossRef]

1974 (2)

1973 (2)

1972 (1)

T. Andersen, O. H. Madsen, and G. Sørensen, Phys. Scr. 6, 125 (1972).
[CrossRef]

1971 (1)

M. A. Levchenko, Izv. Vyssh. Uchebn. Zaved. Fiz. 10, 147 (1971).

1970 (1)

U. Fink, S. Bashkin, and W. S. Bickel, J. Quant. Spect. Rad. Trans. 10, 1241 (1970).
[CrossRef]

1969 (1)

1963 (1)

J. L. Tech, N. B. S. J. Res. 67A, 55 (1963).
[CrossRef]

1939 (2)

C. J. Humphreys, J. Res. Nat. Bur. Stand. 22, 19 (1939).
[CrossRef]

C. J. Humphreys, W. F. Meggers, and T. L. de Bruin, J. Res. Nat. Bur. Stand. 23, 683 (1939).
[CrossRef]

Allen, L.

Andersen, T.

T. Andersen, O. H. Madsen, and G. Sørensen, Phys. Scr. 6, 125 (1972).
[CrossRef]

Bashkin, S.

U. Fink, S. Bashkin, and W. S. Bickel, J. Quant. Spect. Rad. Trans. 10, 1241 (1970).
[CrossRef]

Bengtson, R. D.

M. Miller, R. Roig, and R. D. Bengtson, Phys. Rev. A 8, 480 (1973).
[CrossRef]

Bennett, W. R.

Bickel, W. S.

U. Fink, S. Bashkin, and W. S. Bickel, J. Quant. Spect. Rad. Trans. 10, 1241 (1970).
[CrossRef]

Böge, G.

V. Helbig and G. Böge (private communication, 1975).

Campos, J.

de Bruin, T. L.

C. J. Humphreys, W. F. Meggers, and T. L. de Bruin, J. Res. Nat. Bur. Stand. 23, 683 (1939).
[CrossRef]

Donnelly, K. E.

El Sherbini, Th. M. Z.

Th. M. Z. El Sherbini, Physik Z. 275, 1 (1975).
[CrossRef]

Fink, U.

U. Fink, S. Bashkin, and W. S. Bickel, J. Quant. Spect. Rad. Trans. 10, 1241 (1970).
[CrossRef]

Garpman, S.

L. Holmgren and S. Garpman, Phys. Scr. 10, 215 (1974).
[CrossRef]

N. Spector and S. Garpman (to be published, 1976).

Helbig, V.

V. Helbig and G. Böge (private communication, 1975).

Holmgren, L.

L. Holmgren and S. Garpman, Phys. Scr. 10, 215 (1974).
[CrossRef]

Humphreys, C. J.

C. J. Humphreys, J. Res. Nat. Bur. Stand. 22, 19 (1939).
[CrossRef]

C. J. Humphreys, W. F. Meggers, and T. L. de Bruin, J. Res. Nat. Bur. Stand. 23, 683 (1939).
[CrossRef]

Jiménez, E.

Jones, D. G. C.

Kindlmann, P. J.

Levchenko, M. A.

M. A. Levchenko, Izv. Vyssh. Uchebn. Zaved. Fiz. 10, 147 (1971).

Madsen, O. H.

T. Andersen, O. H. Madsen, and G. Sørensen, Phys. Scr. 6, 125 (1972).
[CrossRef]

Martinsson, I.

I. Martinsson (private communication, 1975).

Meggers, W. F.

C. J. Humphreys, W. F. Meggers, and T. L. de Bruin, J. Res. Nat. Bur. Stand. 23, 683 (1939).
[CrossRef]

Miller, M.

M. Miller, R. Roig, and R. D. Bengtson, Phys. Rev. A 8, 480 (1973).
[CrossRef]

Minnhagen, L.

L. Minnhagen (private communication, 1975).

Roig, R.

M. Miller, R. Roig, and R. D. Bengtson, Phys. Rev. A 8, 480 (1973).
[CrossRef]

Sánches del Rio, C.

Schofield, D. G.

Sørensen, G.

T. Andersen, O. H. Madsen, and G. Sørensen, Phys. Scr. 6, 125 (1972).
[CrossRef]

Spector, N.

N. Spector and S. Garpman (to be published, 1976).

Tech, J. L.

J. L. Tech, N. B. S. J. Res. 67A, 55 (1963).
[CrossRef]

Izv. Vyssh. Uchebn. Zaved. Fiz. (1)

M. A. Levchenko, Izv. Vyssh. Uchebn. Zaved. Fiz. 10, 147 (1971).

J. Opt. Soc. Am. (3)

J. Quant. Spect. Rad. Trans. (1)

U. Fink, S. Bashkin, and W. S. Bickel, J. Quant. Spect. Rad. Trans. 10, 1241 (1970).
[CrossRef]

J. Res. Nat. Bur. Stand. (2)

C. J. Humphreys, J. Res. Nat. Bur. Stand. 22, 19 (1939).
[CrossRef]

C. J. Humphreys, W. F. Meggers, and T. L. de Bruin, J. Res. Nat. Bur. Stand. 23, 683 (1939).
[CrossRef]

N. B. S. J. Res. (1)

J. L. Tech, N. B. S. J. Res. 67A, 55 (1963).
[CrossRef]

Phys. Rev. A (1)

M. Miller, R. Roig, and R. D. Bengtson, Phys. Rev. A 8, 480 (1973).
[CrossRef]

Phys. Scr. (2)

L. Holmgren and S. Garpman, Phys. Scr. 10, 215 (1974).
[CrossRef]

T. Andersen, O. H. Madsen, and G. Sørensen, Phys. Scr. 6, 125 (1972).
[CrossRef]

Physik Z. (1)

Th. M. Z. El Sherbini, Physik Z. 275, 1 (1975).
[CrossRef]

Other (4)

I. Martinsson (private communication, 1975).

N. Spector and S. Garpman (to be published, 1976).

L. Minnhagen (private communication, 1975).

V. Helbig and G. Böge (private communication, 1975).

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Tables (7)

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TABLE I Interaction parameters for 5p46s.

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TABLE II Comparison between predicted and observed 5p46s levels.

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TABLE III Intermediate coupling coefficients for 5p46s.

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TABLE IV Interaction parameters for 5p46p.

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TABLE V Comparison between predicted and observed 5p46p levels.

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TABLE VI Calculated transition probabilities and oscillator strengths for Xe ii.

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TABLE VII Lifetimes of 5p46p levels of Xe+.

Equations (4)

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( J M T ( k ) J M ) = S L S L ( J M S L ) ( S L T ( k ) S L ) ( S L J M ) ,
A ( J , J ) = [ 64 π 2 / 3 h λ 3 ( 2 J + 1 ) ] S ( J , J ) .
S ( J , J ) = e 2 | S L S L ( J M S L ) ( S L J M ) ( - ) s + s c + L + L c + 1 / 2 + l > ( 3 / 2 ) 1 / 2 [ J , J , L , L , S , S ] 1 / 2 × { S S 0 L L 1 J J 1 } { 1 2 1 2 0 S S S c } { l l 1 L L L c } | 2 l > , ( 0 R 6 p ( r ) r R 6 s ( r ) d r ) 2 ,
p 4 S c L c ; 1 2 l ; S L J M ) .