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1,2,3-Dithiazolyl and 1,2,35-Dithiadiazolyl Radicals as Spin-Bearing ...

1,2,3-Dithiazolyl and 1,2,35-Dithiadiazolyl Radicals as Spin-Bearing ...

1,2,3-Dithiazolyl and 1,2,35-Dithiadiazolyl Radicals as Spin-Bearing ...

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a<br />

b<br />

c d e<br />

Figure 1-16. a) Nonorthogonal overlap of d xz <strong>and</strong> p z orbitals, b) Orthogonal overlap of d yz <strong>and</strong> p z orbitals,<br />

c) Orthogonal overlap of d xy <strong>and</strong> p z orbitals, d) Orthogonal overlap of d z 2 <strong>and</strong> p z orbitals, e) Orthogonal<br />

overlap of d x<br />

2<br />

-y 2 <strong>and</strong> p z orbitals.<br />

The other portions of Figure 1-16 show potential interactions that can take place with<br />

the other t 2g orbitals <strong>and</strong> the e g set of d-orbitals. Figure 1-16c shows the p z <strong>and</strong> d xy<br />

orbitals, d shows the p z orbital <strong>and</strong> the d 2 2<br />

z orbital <strong>and</strong> e shows the d 2 x -y <strong>and</strong> the p z<br />

orbitals. In each of these c<strong>as</strong>es the amount of constructive <strong>and</strong> destructive interference are<br />

equal, resulting in an overlap integral of zero. This is referred to <strong>as</strong> orthogonal overlap<br />

<strong>and</strong> Hund’s Rule of Maximum Multiplicity states that for two electrons in orthogonal,<br />

adjacent orbitals, the lowest energy state is one that maximizes the multiplicity.<br />

Therefore the electrons must have the same value of m s . These interactions are related to<br />

the concepts of antiferromagnetic (<strong>as</strong> in the c<strong>as</strong>e of the former) <strong>and</strong> ferromagnetic (<strong>as</strong> in<br />

the c<strong>as</strong>e of the latter) that we have examined already <strong>and</strong> will dictate the magnetic<br />

properties that are of interest in the systems that will be examined.<br />

39

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