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arXiv 0802.4316cond-mat.mtrl-scicond-mat.otherphysics.chem-ph
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由NMR T1测量估算纳米铁电体中的畴尺寸

Estimation of Domain Size in Nano Ferroelectrics from NMR T1 Measurements

Alok Shukla, Mrignayani Kotecha, Lakshman Pandey

摘要:

研究了有序-无序铁电体中I=3/2四极自旋体系由于畴壁引起的自旋晶格弛豫,提出了一种测量纳米铁电体畴宽的通用方法。基于电极化的强度在从一个畴向另一个畴移动时经历螺旋取向的事实,假设在低温下,由于畴壁中的电极化的强度可能容易重新取向,畴壁处和附近的自旋经历弛豫,即使畴主体中的这种弛豫几乎已经停止。存在于畴内的自旋通过最近邻相互作用通过自旋扩散过程将磁化转移到畴壁而经历弛豫。速率方程的自旋人口形成代表铁电畴由一个一维链的等距自旋具有偶极耦合。自旋布居计算作为时间的函数为不同比例的四极偶极跃迁概率的样品进行选择性射频脉冲。用畴宽和四极与偶极跃迁几率比导出了自旋-晶格弛豫时间T_1的表达式。结果表明,对于正常晶粒尺寸的晶体,只要已知自旋晶格弛豫时间T1,就可以估算出磁畴宽度。结果具有普遍性,适用于任何具有纳米尺寸畴和自旋I=3/2核的有序无序铁电体。

英文摘要:

The spin lattice relaxation of I=3/2 quadrupolar spin system due to domain walls in order-disorder ferroelectrics has been studied and a general method is proposed for the measurement of domain width in nano ferroelectrics. Based on the fact that electric polarization undergoes spiral orientation as one moves from one domain to the other, it is assumed that at low temperatures the spins at and near domain walls undergo relaxation due to possible easy reorientation of electric polarization in domain walls even though such a relaxation in the main body of the domain has almost ceased. The spins present inside the domain undergo relaxation through transfer of magnetization to the domain walls through a spin diffusion process by nearest neighbour interaction. Rate equations for spin populations are formed by representing the ferroelectric domain by a one-dimensional chain of equidistant spins having dipolar coupling. Spin populations are calculated as a function of time for different ratios of quadrupolar to dipolar transition probabilities for a sample subjected to selective rf pulse. Expression for spin- lattice relaxation time T1 is derived in terms of domain width and ratio of quadrupolar to dipolar transition probabilities. It is found that the domain width can be estimated provided the value of spin lattice relaxation time T1 is known for the corresponding crystal with normal sized grains. The results are quite general and can be applied to any order disorder ferroelectric with nano sized domains and having spin I=3/2 nuclei.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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