Intermediate coupling calculation

Intermediate coupling calculations have been used to determine the spectroscopic properties and dissociation curves for several low-lying states of Tl2 (102). All three lowest energy states are bound, but only weakly. In contrast... 

Another application of intermediate coupling calculations has been to use the calculated results to reevaluate dissociation energies derived using the third-law method and mass- spectral data. Balasubramanian and Pitzer have shown how this can be accomplished in their calculations on Sn2 and Pb2 (90). This method requires the molecular partition function, which can be written... 

Another trend that has been observed in intermediate coupling calculations is that, for a given molecular state, A-S coupling is generally more important for the equilibrium atomic separation and becomes less important as the interatomic distance is increased. That is, bonding tends to favor A-S coupling (or vice versa). This is particularly apparent for the T1H and Bi2 ground states. 

Though it is interesting that intermediate coupling calculations in Oh for CrFJ (A = 16100 cm" ) provide doublet-like levels (in cm" ) U 14586 U 15296 E 15345, and four % levels E" 16032 U 16077 E 16165 and U 16174, followed by the next doublet U 21 773 and E" 21858, it is perfectly clear today that such a treatment cannot be carried out the same way as for an atomic spectrum. The minimum requirement is an intrinsic band-width proportional to the (t2) (e) character of the excited level and a nagging doubt is that one may have to take 16-dimensional potential surfaces into account. 

The wave functions obtained from LS, jj and intermediate coupling calculations enable predictions of spin, magnetic moment, electric quadrupole moment, radiative transition probability and reduced width to be made. The coupling scheme may then be deduced by comparison with experiment (e.g, Sect. 61). 

The parameter ajK may also be deduced from the intermediate-coupling calculations of reduced width, beta-decay lifetime, and M1 transition probability given by Lane . Of these quantities the reduced width is most sensitive to... 

Elliott, J. P., and B. H. Flowers The structure of the nuclei of mass 18 and 19. Proc. Roy. Soc. Lond., Ser. A 229, 536 (1955)- — This basic paper is the first to extend intermediate coupling calculations to the d — s shell. It gives a full account of the mathematical technique and of calculations of energy level sequences, static moments and transition probabilities. 

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