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The coherency of the domain walls forming between the a and c domains in epitaxial lead titanate films forces a tilt in the a-domains with respect to the surface normal of the (001)SrTiO3 substrate. It is shown that the measurement of the relative volume fraction of the domains requires mapping of the x-ray diffraction intensity distribution in the reciprocal space. Maps for lead titanate films of different thickness show that a domains are essentially absent in films less than 50 nm thick and approach 25% volume fraction at a thickness of 350 nm. The tilt angle, which lies in the range 2.65±0.5°, remains unchanged with thickness.
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Hsu et al. (1995) studied this question.
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