Diamagnetic interaction

To observe a 7s — 9 transition requires that there be a 9p admixture in the 9 state. For odd this admixture is provided by the diamagnetic interaction alone, which couples states of and 2, as described in Chapter 9. For even states the diamagnetic coupling spreads the 9p state to all the odd 9( states and the motional Stark effect mixes states of even and odd (. Due to the random velocities of the He atoms, the motional Stark effect and the Doppler effect also broaden the transitions. Together these two effects produce asymmetric lines for the transitions to the odd 9t states, and double peaked lines for the transitions to even 9( states. The difference between the lineshapes of transitions to the even and odd 9i states comes from the fact that the motional Stark shift enters the transitions to the odd 9( states once, in the frequency shift. However, it enters the transitions to the even 9( states twice, once in the frequency shift and once in the transition matrix element. Although peculiar, the line shapes of the observed transitions can be analyzed well enough to determine the energies of the 9( states of >2 quite accurately.25... 

These formulae and numerical estimates don t take into account the mixing of nZra)-states with equal parity by the diamagnetic interaction. 

Since the zero-order wave function of a diamagnetic state is a linear combination of the degenerate basis wave functions and the diamagnetic interaction allows for extension of dipole selection rules to Al = 1, 3, the equation for the coefficient q is modified to read (we consider the lower state to be non-degenerate, with l = m ) ... 

These represent the nuclear spin Zeeman interaction, the rotational Zeeman interaction, the nuclear spin-rotation interaction, the nuclear spin-nuclear spin dipolar interaction, and the diamagnetic interactions. Using irreducible tensor methods we examine the matrix elements of each of these five terms in turn, working first in the decoupled basis set rj J, Mj /, Mi), where rj specifies all other electronic and vibrational quantum numbers this is the basis which is most appropriate for high magnetic field studies. In due course we will also calculate the matrix elements and energy levels in a ry, J, I, F, Mf) coupled basis which is appropriate for low field investigations. Most of the experimental studies involved ortho-H2 in its lowest rotational level, J = 1. If the proton nuclear spins are denoted I and /2, each with value 1 /2, ortho-H2 has total nuclear spin / equal to 1. Para-H2 has a total nuclear spin / equal to 0. 

The fifth term in (8.2) describes the diamagnetic interaction of the molecule with the external magnetic field. Ramsey [7] showed that this interaction could be represented by the term,... 

In addition Freund and Miller [24] included the diamagnetic interaction between the magnetic susceptibility and the applied magnetic field we will not describe the details here. 

It was established that in some doubly-bridged, dimeric, dshydroxoaqua complexes of chromium(III) there is a low temperature diamagnetic interaction between the two chromium (HI) atoms It is remarkable that this effect exists despite the long Cr...Cr distance ( 5 A) and is almost as strong as that found in the corresponding diols, which have a much smaller separation ( 3... 

In this section we consider the interactions of nematic liquid crystals with applied fields (electric or magnetic) we will limit our discussion to only dielectric and diamagnetic interactions. 

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