Abstract

The positions of 38 observed levels of the 4f3 configuration of Pr iii were calculated with a rms error of ±168 cm−1, by use of seven adjustable parameters. The interaction with the 4f5d2 levels is discussed. A calculation of the levels of the 4f25d configuration was obtained with a rms error of ±182 cm−1 relative to the 101 observed levels, utilizing 13 adjustable parameters.

© 1964 Optical Society of America

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References

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  1. J. Sugar, J. Opt. Soc. Am. 53, 831 (1963).
    [Crossref]
  2. G. Racah, Phys. Rev. 85, 381 (1952).
    [Crossref]
  3. R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 1278 (1961).
    [Crossref]
  4. R. E. Trees, W. F. Cahill, and P. Rabinowitz, J. Res. Natl. Bur. Std. 55, 335 (1955).
    [Crossref]
  5. G. Racah, Bull. Res. Council Israel Sect. F 8, 1 (1959).
  6. Z. Goldschmidt (to be published).
  7. R. E. Trees, “704 General Matrix Routine” (unpublished).
  8. G. Racah, Phys. Rev. 76, 1352 (1949).
    [Crossref]
  9. E. Reilly (private communication, unpublished data).
  10. B. R. Judd and R. Loudon, Proc. Roy. Soc. (London) A251, 127 (1959).
  11. A. Ron, M.Sc. Thesis, Jerusalem, 1958 (unpublished).
  12. R. Latter, Phys. Rev. 99, 510 (1955).
    [Crossref]
  13. E. C. Ridley, Proc. Cambridge Phil. Soc. 56, 41 (1960).
    [Crossref]
  14. R. J. Elliott, B. R. Judd, and W. A. Runciman, Proc. Roy. Soc. (London) A240, 509 (1957).
  15. W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).
    [Crossref]

1963 (1)

1961 (1)

R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 1278 (1961).
[Crossref]

1960 (1)

E. C. Ridley, Proc. Cambridge Phil. Soc. 56, 41 (1960).
[Crossref]

1959 (3)

W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).
[Crossref]

G. Racah, Bull. Res. Council Israel Sect. F 8, 1 (1959).

B. R. Judd and R. Loudon, Proc. Roy. Soc. (London) A251, 127 (1959).

1957 (1)

R. J. Elliott, B. R. Judd, and W. A. Runciman, Proc. Roy. Soc. (London) A240, 509 (1957).

1955 (2)

R. Latter, Phys. Rev. 99, 510 (1955).
[Crossref]

R. E. Trees, W. F. Cahill, and P. Rabinowitz, J. Res. Natl. Bur. Std. 55, 335 (1955).
[Crossref]

1952 (1)

G. Racah, Phys. Rev. 85, 381 (1952).
[Crossref]

1949 (1)

G. Racah, Phys. Rev. 76, 1352 (1949).
[Crossref]

Cahill, W. F.

R. E. Trees, W. F. Cahill, and P. Rabinowitz, J. Res. Natl. Bur. Std. 55, 335 (1955).
[Crossref]

Elliott, R. J.

R. J. Elliott, B. R. Judd, and W. A. Runciman, Proc. Roy. Soc. (London) A240, 509 (1957).

Goldschmidt, Z.

Z. Goldschmidt (to be published).

Jørgensen, C. K.

R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 1278 (1961).
[Crossref]

Judd, B. R.

B. R. Judd and R. Loudon, Proc. Roy. Soc. (London) A251, 127 (1959).

R. J. Elliott, B. R. Judd, and W. A. Runciman, Proc. Roy. Soc. (London) A240, 509 (1957).

Latter, R.

R. Latter, Phys. Rev. 99, 510 (1955).
[Crossref]

Loudon, R.

B. R. Judd and R. Loudon, Proc. Roy. Soc. (London) A251, 127 (1959).

Rabinowitz, P.

R. E. Trees, W. F. Cahill, and P. Rabinowitz, J. Res. Natl. Bur. Std. 55, 335 (1955).
[Crossref]

Racah, G.

G. Racah, Bull. Res. Council Israel Sect. F 8, 1 (1959).

G. Racah, Phys. Rev. 85, 381 (1952).
[Crossref]

G. Racah, Phys. Rev. 76, 1352 (1949).
[Crossref]

Reilly, E.

E. Reilly (private communication, unpublished data).

Ridley, E. C.

E. C. Ridley, Proc. Cambridge Phil. Soc. 56, 41 (1960).
[Crossref]

Ron, A.

A. Ron, M.Sc. Thesis, Jerusalem, 1958 (unpublished).

Runciman, W. A.

W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).
[Crossref]

R. J. Elliott, B. R. Judd, and W. A. Runciman, Proc. Roy. Soc. (London) A240, 509 (1957).

Sugar, J.

Trees, R. E.

R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 1278 (1961).
[Crossref]

R. E. Trees, W. F. Cahill, and P. Rabinowitz, J. Res. Natl. Bur. Std. 55, 335 (1955).
[Crossref]

R. E. Trees, “704 General Matrix Routine” (unpublished).

Wybourne, B. G.

W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).
[Crossref]

Bull. Res. Council Israel Sect. (1)

G. Racah, Bull. Res. Council Israel Sect. F 8, 1 (1959).

J. Chem. Phys. (1)

W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).
[Crossref]

J. Opt. Soc. Am. (1)

J. Res. Natl. Bur. Std. (1)

R. E. Trees, W. F. Cahill, and P. Rabinowitz, J. Res. Natl. Bur. Std. 55, 335 (1955).
[Crossref]

Phys. Rev. (4)

R. Latter, Phys. Rev. 99, 510 (1955).
[Crossref]

G. Racah, Phys. Rev. 85, 381 (1952).
[Crossref]

R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 1278 (1961).
[Crossref]

G. Racah, Phys. Rev. 76, 1352 (1949).
[Crossref]

Proc. Cambridge Phil. Soc. (1)

E. C. Ridley, Proc. Cambridge Phil. Soc. 56, 41 (1960).
[Crossref]

Proc. Roy. Soc. (London) (2)

R. J. Elliott, B. R. Judd, and W. A. Runciman, Proc. Roy. Soc. (London) A240, 509 (1957).

B. R. Judd and R. Loudon, Proc. Roy. Soc. (London) A251, 127 (1959).

Other (4)

A. Ron, M.Sc. Thesis, Jerusalem, 1958 (unpublished).

E. Reilly (private communication, unpublished data).

Z. Goldschmidt (to be published).

R. E. Trees, “704 General Matrix Routine” (unpublished).

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Tables (7)

Tables Icon

Table I Calculated energy levels, compositions, and g factors for 4f3 configuration.

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Table II Radial parameters for 4f3 (cm−1).

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Table III Radial parameters for f2 d (cm−1).

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Table IV Calculated energy levels, compositions, and g factors for 4f2 5d configuration.

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Table V Calculated energy levels not yet detected.

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Table VI Alternate designations for levels of f2 d.

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Table VII Matrix elements of configuration interaction between 4f2 and 5d2. The squared values are obtained by use of R1 = 9628.5, R3 = 8662.5, and R5 = 7135.1.

Equations (12)

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E 1 = ( 54 P + 35 D + 63 F + 63 G ) / 378 , E 2 = ( 55 D 90 G ) / 37800 , E 3 = ( 99 P 55 D 36 G ) / 5544 , α = + ( 33 P + 55 D + 36 G ) / 3696 , β = ( 66 S 110 D + 77 F 135 G ) / 462 , γ = ( 99 P + 55 D 308 F + 36 G ) / 1848 .
E 1 = 26 , E 2 = 0.05 , E 3 = 1.56 , α = 9.1 , β = 107 , γ = 14.2 .
α = ( 7 P + 15 D 7 F 15 G ) / 280 = 13 .
E 1 : E 2 : E 3 14.68 : 0.082 : 1.57 .
E 1 : E 2 : E 3 14.68 : 0.071 ± 0.003 : 1.43 ± 0.05 ,
E 1 : E 2 : E 3 14.68 : 0.067 ± 0.003 : 1.41 ± 0.05 .
E 1 : E 2 : E 3 14.68 : 0.077 : 1.49 ,
( 35 ) 1 2 ( 3 R 1 + 4 R 3 / 3 + 50 R 5 / 33 )
( 70 ) 1 2 ( 4 R 1 + 2 R 3 / 3 50 R 5 / 33 )
( 294 ) 1 2 ( 36 R 1 / 5 22 R 3 / 15 + 50 R 5 / 33 )
( 735 ) 1 2 ( 9 R 1 8 R 3 / 3 25 R 5 / 33 )
( 11 / 2205 ) + 1 2 ( 3 R 1 + 4 R 3 / 3 + 25 R 5 / 363 )