Bleaney-Bowers expression

Bix(alkoxy)osmium(IV) prophyrins, 39 255 Bk, see Berkelium BLAST (software), 47 85 Bleaney-Bowers expression, 41 308 Bleomycin... 

Confirm that the Bleaney-Bowers expression for a dimer with 5 equals... 

While the singlet ground state will be unaffected by an external magnetic field, the S 1 state will become Zeeman split into the Ms =—1,0, 1 sublevels. Thus, the energies of the four possible 15, Ms) states are known (10, 0)) = Jex (ll, + 1)) = —g/rB77 (ll, 0)) = 0 (ll, —1))= I /ab//. When these four expressions are introduced into the Van Vleck equation, the Bleaney-Bowers equation7 is obtained. This equation describes the temperature dependence of the susceptibility (for the zero-field limit), independent of the sign of Jcx ... 

This equation is often referred to as the expression of Bleaney and Bowers [152]. Observe that, for negative J, Xm should have a maximum since y ->0 both for T- 0 and T->oo. The temperature Tm of the maximum is determined by J/V.T —4/5. Perhaps the most widely studied binuclear complex is copper(II) acetate monohydrate, Cu(CHjCOO)2 HjO, the molecular structure of which is illustrated by Fig. S. The variation of the magnetic susceptibility with temperature which is shown in Fig. 9 is in complete accord with the result of Eq. (52) for g=2.16, J= —295 cm" and a TIP contribution Na = 60x 10" emu/g-atom [153,154]. It has been found that replacement of the axial H O molecule by pyridine produces an analogous magnetic and crystallographic situation [155,156,157] and similar results are obtained for various other base adducts as well as when acetate is replaced by other alkanoates. 

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