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以具有m个磁等性核的异核lmS(l=1/2,S=1/2;m=2,3)自旋体系为例,从群论出发。引入了对称化乘积算符完备集;并表明各算符间普遍存在简单循环对易关系,这种对易关系反映了不同极化态矢及各阶量子相干在脉冲序列各时间域哈密顿量作用下的演化规律。运用对称化乘积算符代数对一些典型的多脉冲及二维FT-NMR实验,特别是DEPT脉冲序列进行了分析,得到了与通常乘积算符分析相一致的结果,但推导过程得以简化,物理意义更加明确。A complete set of symmetry-adapted product operator was introduced to analyse multipulse FT-NMR experiments for spin-1/2 I2S and I3S systems. General cyclic commutation relations exist among the symmetrized product operators. These commutation relations govern the evolution rules of different order coherences under the action of the Hamiltonian in various stage of pulse sequence. The use of symmetry-adapted product operator algebra simplified the analysis of experiments and revealed more evident physical meaning. The procedure was demonstrated by the treatment of DEPT experiment performed on spin-1/2 I2S and l3S systems.
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