Abstract

Sixty high odd levels of Yb ii are interpreted as 4f135d2 levels. A least-squares fit with 10 parameters results in a rms error of 239 cm−1 (1.1% of the total width). Good agreement is also obtained between calculated and observed g factors. Designations in JILII coupling are given.

© 1968 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. Racah, J. Opt. Soc. Am. 50, 396 (1960).
  2. G. Racah, private communication (1962).
  3. W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 71A, 396 (1967).
    [Crossref]
  4. J. B. Ganz, Bull. Res. Counc. Israel 9F, 31 (1960).
  5. G. Racah, Phys. Rev. 62, 438 (1942).
    [Crossref]
  6. G. Racah, Bull. Res. Counc. Israel 8F, 1 (1959).
  7. E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, 1950), p. 298.
  8. P. Camus, private communication (1967).
  9. N. Spector, J. Opt. Soc. Am. 56, 341 (1966), Fig. 3.
    [Crossref]

1967 (1)

W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 71A, 396 (1967).
[Crossref]

1966 (1)

1960 (2)

G. Racah, J. Opt. Soc. Am. 50, 396 (1960).

J. B. Ganz, Bull. Res. Counc. Israel 9F, 31 (1960).

1959 (1)

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

1942 (1)

G. Racah, Phys. Rev. 62, 438 (1942).
[Crossref]

Camus, P.

P. Camus, private communication (1967).

Condon, E. U.

E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, 1950), p. 298.

Ganz, J. B.

J. B. Ganz, Bull. Res. Counc. Israel 9F, 31 (1960).

Meggers, W. F.

W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 71A, 396 (1967).
[Crossref]

Racah, G.

G. Racah, J. Opt. Soc. Am. 50, 396 (1960).

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

G. Racah, Phys. Rev. 62, 438 (1942).
[Crossref]

G. Racah, private communication (1962).

Shortley, G. H.

E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, 1950), p. 298.

Spector, N.

Bull. Res. Counc. Israel (2)

J. B. Ganz, Bull. Res. Counc. Israel 9F, 31 (1960).

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

J. Opt. Soc. Am. (2)

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

W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 71A, 396 (1967).
[Crossref]

Phys. Rev. (1)

G. Racah, Phys. Rev. 62, 438 (1942).
[Crossref]

Other (3)

G. Racah, private communication (1962).

E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, 1950), p. 298.

P. Camus, private communication (1967).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

Observed energy levels of 4f135d2 of Yb ii grouped in JILII coupling.

Fig. 2
Fig. 2

Observed energy levels of 4f115d6s2 of Er i grouped in JILII coupling.

Tables (2)

Tables Icon

Table I Parameters for 4f135d2.

Tables Icon

Table II Energy levels, g factors, and percentage composition of 4f135d2 of Yb ii.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

G 1 : [ 3 + 3 70 ( u f ( 1 ) · U ( 1 ) ) 15 6 ( u f ( 2 ) · U ( 2 ) ) + 21 2 15 ( u f ( 3 ) · U ( 3 ) ) 9 2 55 ( u f ( 4 ) · U ( 4 ) ) + 6 ( s f · S ) 120 70 ( υ f ( 11 ) · V ( 11 ) ) + 60 6 ( υ f ( 12 ) · V ( 12 ) ) 42 15 ( υ f ( 13 ) · V ( 13 ) ) + 18 55 ( υ f ( 14 ) · V ( 14 ) ) ] G 3 : [ 12 + 9 2 70 ( u f ( 1 ) · U ( 1 ) ) + 55 2 6 ( u f ( 2 ) · U ( 2 ) ) 28 15 ( u f ( 3 ) · U ( 3 ) ) 18 55 ( u f ( 4 ) · U ( 4 ) ) + 24 ( s f · S ) 18 70 ( υ f ( 11 ) · V ( 11 ) 110 6 ( υ f ( 12 ) · V ( 12 ) ) + 112 15 ( υ f ( 13 ) · V ( 13 ) ) + 72 55 ( υ f ( 14 ) · V ( 14 ) ] G 5 : [ 66 99 2 70 ( u f ( 1 ) · U ( 1 ) ) 275 2 6 ( u f ( 2 ) · U ( 2 ) ) 77 2 15 ( u f ( 3 ) · U ( 3 ) ) 9 2 55 ( u f ( 4 ) · U ( 4 ) ) + 132 ( s f · S ) + 198 70 ( υ f ( 11 ) · V ( 11 ) ) + 550 6 ( υ f ( 12 ) · V ( 12 ) ) + 154 15 ( υ f ( 13 ) · V ( 13 ) ) + 18 55 ( υ f ( 14 ) · V ( 14 ) ) ] .
A = 6930 G 1 = G ¯ 1 = 7 F 2 = 165 G 3 = G ¯ 3 = 297 F 4 = 45 G 5 = G ¯ 5 = 25 ,
( f d 2 ( P ) 2 I | E | f d 2 ( P ) 2 I ) should read A 8 B + 5 F 2 9 F 4 + 15 G 1 / 2 + 35 G 3 / 2 + 4 G 5 ( f d 2 ( G ) 2 D | E | f d 2 ( G ) 2 D ) should read A + 4 B + 2 C + ( 165 F 2 143 F 4 + 5 G 1 / 2 + 95 G 3 / 2 1562 G 5 / 7 ) ( f d 2 ( D ) 2 F | E | f d 2 ( P ) 2 F ) should read + ( 15 G 1 495 G 5 / 2 ) ( 3 / 7 ) 1 2 ( f d 2 ( F ) 2 F | E | f d 2 ( D ) 2 F ) should read ( 15 G 1 / 2 + 165 G 5 ) ( 6 / 7 ) 1 2 ( f d 2 ( G ) 2 F | E | f d 2 ( P ) 2 F ) should read ( 3 G 1 + 42 G 3 + 24 G 5 ) ( 11 / 14 ) 1 2 ( f d 2 ( G ) 2 F | E | f d 2 ( F ) 2 F ) should read + ( 3 G 1 / 2 + 21 G 3 114 G 5 ) ( 11 / 7 ) 1 2 .