Breit-Rabi equation

Bradyrhizobium japonicum frxA, 38 255-257 Br/Br redox couple, 33 81-83 Br /Br redox couple, 33 83 Breathing mode, 35 322 Breit-Rabi equation, 13 221-225 Bridged diphosphoranes, reaction in thionyl chloride, 30 246... 

D. The Breit-Rabi Equation Second-Order Corrections... 

Note. According to the literature g = 2.00228 [J.S. Tiedeman and H.G. Robinson Phys. Rev. Lett. 39, 602 (1977)]. A deviation from the obtained value may in part be ascribed to experimental errors, in part to inaccuracies of the 2nd order approximation. More accurate values for the line positions can be obtained by the Breit-Rabi equation [G. Breit and I.I. Rabi Phys. Rev. 38,2082 (1931)] originally employed to obtain the nuclear spins of Cs andRb. 

Provided the unshifted centres of the transitions can be located the central-atom hyperfine interaction and value may be determined exactly from an iterative solution of the Breit-Rabi equations. Ligand fluorine hyperfine interactions should be determined from the highest-field transition available where spin-spin decoupling is essentially complete. 

K (1 ). Its spectrum has several features of interest, but for the moment we note that the hyperfine interaction of the " As l = 3/2) nucleus is so large that the appearance of the spectrum (Fig. 2) bears little similarity to that of the analogous PF4 radical. Its spectral parameters can, however, readily be obtained with the aid of the Breit-Rabi equations (24). 

The eigenvectors of this Hamiltonian (for the H atom) have been familiar for about 50 years now the energy eigenvalues are shown in frequency units in the Breit-Rabi diagram of Figure 14. The hyperfine frequency of Mu in vacuum is vq = 4463.302 35(52) MHz,24 which can be compared with the corresponding value for the H atom, i o(H) = 1420.405751(1) MHz, to give almost exactly the ratio predicted by Equation 31 when g M i s replaced by OaH-p. for the proton. In fact, a more detailed calculation, combined with the experimental values of g and provides the best test of quantun electro-... 

In zero field, the Hamiltonian of Equation 43 predicts three frequencies, since the I F = 1 M = 0> substate is shifted in energy with respect to the degenerate case depicted in the Breit-Rabi diagram of Figure 14. These frequencies are given by and 1/2 ... 

Finally, by solving the secular equation, determine the energies of the hyperfine sub-levels in fields of arbitrary strength. Verify the correctness of the results using the Breit-Rabi formula and Fig.18.16. 

AMj=0, AMj= 1 transitions at fields which were not quite large enough for the complete Paschen-Back formula, equation (18.37), to be applicable. By expanding the Breit-Rabi formula up to terras of order... 

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