Electric hexadecapole

In formulas (22.12) and (22.13) k acquires only even values for k = 2 we have the usual electric quadrupole interaction, whereas for k = 4 we have the electric hexadecapole interaction, already observed in [145]. The expressions for the matrix elements of the hyperfine structure operators considered above for the closed shells follow straightforwardly from the... 

Electric hexadecapole. In microsystems of higher e.g. octahedral) symmetry, as we shall see further on, all the above defined moments vanish and it is necessary to define multipoles of higher orders, beginning by a hexadecapole system the permanent moment of which is defined by a symmetric tensor of rank 4 ... 

In the ligand polarization mechanism for optical activity, the potential of the electric hexadecapole component, Hxy(x>-y>), produces a determinate correlation of the induced electric dipole moment in each ligand group which does not lie in an octahedral symmetry plane of the [Co Ng] chromophore (Fig. 8). The resultant first-order electric dipole transition moment has a non-vanishing component collinear with the zero-order magnetic moment of the dxy dxj yj transition in chiral complexes, and the scalar product of these two moments affords the z-component of the rotational strength, RJg, of the Aj -> Ti octahedral excitation. 

The dynamic coupling between the electric hexadecapole moment of a d—d transition in the metal ion and an induced electric dipole in each ligand is forbidden in a four-coordinate complex containing a tetrahedral chromophore, although the mechanism becomes formally allowed on reduction to D2(i or lower chromophoric symmetry. In tetrahedral complexes the dynamic coupling between a d—d quadrupolar... 

The contributions of the magnetic octupole (M ) and the electric hexadecapole (M ) terms are always much smaller than the magnetic dipole and electric quadrupole terms and are therefore not considered here. 

Mentioned briefly here are some highlights of the most recent developments relating to the quadrupolar halogens. Cederberg has investigated the potential evidence for a non-zero nuclear electric hexadecapole interaction by analysirw... 

Indium Halides.— The radiofrequency spectrum of In F has been unsuccessfully examined with the aim of finding an electric hexadecapole interaction of the indium nucleus (the upper limit for any such interaction was 2 kHz). 7... 

It should be noted that the quadrupole interaction is only the first nonzero term in the mathematical expression governing the variation of the electric potential V over the nuclear volume the second is the nuclear hexadecapole interaction. " which depends on the coupling between the nuclear electric hexadecapole moment H and the fourth derivative of the electric potential The nuclear... 

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