Regular multiplet

Multiplicity is brought about due to the splitting of the signal of one set of equivalent nuclei by the magnetic fields of adjacent sets of nuclei i.e., spin-spin interactions. The distance between the peaks of a regular multiplet is termed as the coupling constant, designated as J, and measured in Hz. 

It represents regular multiplets. Actually, J is the separation (in Hertz Hz = sec ) between the peaks of regular multiplets. 

In a (hypothetical) regular octahedral geometry ten members of the 5Eg term are split by the spin-orbit interaction into five multiplets of which T) is the ground state and nonmagnetic. The remaining multiplets are nearly equidistant they lie at energies S/he = 11,22, 32, and 42 cm 1. These energies are well reproduced by the model-Hamiltonian treatment performed in the first iteration. 

For a compressed tetragonal bipyramid (axial strengthening) the separation Ai3 = s(r7) - (/, ) of the lowest multiplets r6 (ground) and r7 increases rapidly when the system deviates from the regular octahedron. 

Therefore, we have attempted to assess the correctness of our results by analysing their possible regular behaviour along the group. As an example, we have collected in Table 4 the RQDO oscillator strengths for a few multiplets that cor-... 

Usually the ground state is a minimum or a maximum of J, depending on whether the multiplet is regular or inverted, and the second or first term, respectively, of equation 17 vanishes. 

A survey of the vast material of catalytic chemistry shows that the structure of index groups is subject to certain regularities it may be compared to the structure of complex compounds which, according to Werner s theory, are subject to certain rules (6). It should be noted that most often such kinds of reactions are found to occur in the course of which two bonds of the initial molecules are broken (I.la) and two new bonds are formed in the products (I.lb). The transition from a to b is accomplished through the state of the multiplet complex (M). 

Some of these regularities were known formerly 424), but the multiplet theory explained them. 

Does Fig. 11.6 contain a violation of the rule given in Section 11.6 for determining whether a multiplet is regular or inverted ... 

Hie spin-orbit interaction energy in diatomic molecules can be shown to be well approximated by A A2, where A depends on A and on the intemuclear distance R but not on 2. The spacing between levels of the multiplet is thus constant. When A is positive, the level with the lowest value of A + 2 lies lowest, and the multiplet is regular. When A is negative, the multiplet is inverted. Note that for A 0 the spin multiplicity 25+1 always equals the number of multiplet components. This is not always true for atoms. 

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