THEORY OF SPECTRAL DIFFUSION DECAY USING AN UNCORRELATED-SUDDEN-JUMP MODEL

THEORY OF SPECTRAL DIFFUSION DECAY USING AN UNCORRELATED-SUDDEN-JUMP MODEL
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DOI:
10.1103/physrevb.9.1
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发表时间:
1974-01-01
期刊:
影响因子:
3.7
通讯作者:
HARTMANN, SR
HARTMANN, SR
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
HU, P;HARTMANN, SR

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一个脉冲的自由感应,两个脉冲的回波,和三个脉冲的受激回波信号的衰减行为的计算系统的A自旋,彼此隔离,其局部场波动,因为不相关的翻转系统的B自旋随机定位。衰减行为是在封闭的形式,是有效的所有时间。我们发现,偶极线的形状,这是自由感应衰减的傅里叶变换,总是由翻转的B自旋变窄。双脉冲回波首先随着B自旋翻转率W的增大而减小,然后随着W的进一步增大而增大。除自由感应衰减外,我们的公式在很短和很长时间的范围内与Klauder和安德森以及Mims的计算结果一致。
The decay behavior of the one-pulse free-induction, two-pulse echo, and three-pulse stimulated-echo signals is calculated for a system of A spins, isolated from each other, whose local field fluctuates because of the uncorrelated flipping of a system of B spins randomly located. The decay behavior is obtained in closed form and is valid for all time. We find that the dipolar line shape, which is the Fourier transform of the free-induction decay, is always narrowed by the flipping of the B spins. The two-pulse echo first decreases as the B-spin-flip rate W increases and then increases as W is further increased. Except for the free-induction decay our formulas coincide in the limits of very short and very long times with those calculated by Klauder and Anderson and by Mims.