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arXiv 0706.4209cond-mat.mtrl-sci
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二维外延生长过程中的弹性弛豫:面内晶格间距振荡的研究

Elastic relaxation during 2D epitaxial growth: a study of in-plane lattice spacing oscillations

P. Muller, P. turban, L. Lapena, S. Andrieu

摘要:

本文的目的是报告一些新的实验和理论结果的分析在二维(2D)同质和异质外延生长的面内晶格间距振荡。这些振荡的物理起源来自应变岛的有限尺寸。因此,2D岛可以通过它们的边缘松弛,导致在这些岛的诞生和扩展期间的面内晶格间距振荡。一方面,我们制定了一个连贯的2D外延存款的弹性松弛的问题,通过使用点力的概念,并证明在岛上的平均变形表现出振荡行为。另一方面,我们通过使用一个平均模型的弱变形层堆积的相干沉积的2D岛屿的衍射强度计算。发现面内晶格间距振荡的幅度线性地依赖于失配和近似线性地依赖于成核密度。我们表明,成核密度可以近似从半覆盖率的衍射棒的半峰全宽。因此,在V/Fe(001),Mn/Fe(001),Ni/Fe(001),Co/Cu(001)和V/V(001)上,实验验证了面内晶格间距振荡幅度与成核密度的预测依赖性。

英文摘要:

The purpose of this paper is to report some new experimental and theoretical results about the analysis of in-plane lattice spacing oscillations during two-dimensional (2D) homo and hetero epitaxial growth. The physical origin of these oscillations comes from the finite size of the strained islands. The 2D islands may thus relax by their edges, leading to in-plane lattice spacing oscillations during the birth and spread of these islands. On the one hand, we formulate the problem of elastic relaxation of a coherent 2D epitaxial deposits by using the concept of point forces and demonstrate that the mean deformation in the islands exhibits an oscillatory behaviour. On the other hand, we calculate the intensity diffracted by such coherently deposited 2D islands by using a mean model of a pile-up of weakly deformed layers. The amplitude of in-plane lattice spacing oscillations is found to depend linearly on the misfit and roughly linearly on the nucleation density. We show that the nucleation density may be approximated from the full-width at half maximum of the diffracted rods at half coverages. The predicted dependence of the in-plane lattice spacing oscillations amplitude with the nucleation density is thus experimentally verified on V/Fe(001), Mn/Fe(001), Ni/Fe(001), Co/Cu(001) and V/V(001).

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