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本文用不可约张量法导出了链型BAAB四核体系的自旋Hamilton算符的矩阵元的一般表达式,用此式系统处理了M·Cu·Cu·M(其中M是氧化数为2的Zn,Cu,Ni,Co,Fe,Mn)即S_2=S_=1/2,S_1=S_4=0,1/2,1,3/2,2,5/2的六个体系,分别得出它们的能级和磁化率公式,我们又合成了七个链型BAAB四核配合物(CuLMX_4)_2,其中L为双(N-氧化吡啶-2-甲醛)缩乙二胺(L′)或双(N-氧化吡啶-2-甲醛)缩-1,2-丙二胺(L″).用CF-1型提拉样品磁强计测定了它们在4.2-300K范围内的变温磁化率,然后用理论得出的公式对实验数据进行最小二乘法拟合,得出磁交换常数J值和J′值以及分裂因子g值,所得J值说明了本文中的七个(CuLMX_4)_2型分子中,中间两个Cu原子之间有弱的铁磁性交换作用,而所得的J′值则表明链端的M与相邻的Cu之间有弱的反铁磁性相互作用,最后用AGK理论对交换途径作了说明。
In this paper, we derive the general expression of the matrix elements of the spin Hamiltonian of the chain-type BAAB quadrature kernel by using the irreducible tensor method, and use this system to deal with M · Cu · Cu · M (where M is Zn , Cu, Ni, Co, Fe, Mn), namely S_2 = S_ = 1/2 and S_1 = S_4 = 0,1 / 2,1,3 / 2,2,5 / 2, , We have synthesized seven tetrabasic BAAB tetranuclear complexes (CuLMX_4) _2, in which L is bis (N-oxide pyridine-2-carbaldehyde) ethylenediamine (L ’) or bis (N-oxide pyridine-2-carbaldehyde) -1,2-propanediamine (L "). Their temperature-dependent magnetic susceptibilities were measured in the range of 4.2-300 K using a pulsating sample magnetometer Model CF-1 and then The experimental data were fitted by the least square method with the theoretical formula, and the values of J and J ’and the value of splitting factor g were obtained. The obtained J value showed that in the seven (CuLMX_4) _2 type molecules , The middle two Cu atoms have a weak ferromagnetic exchange between the results of the J ’value indicates that the chain end of the M and the adjacent Cu weak anti-ferromagnetic interactions, and finally AGK theory of the exchange path Made a note.