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DEVIATION FROM BRAGG LAW AND EDGE EFFECT IN DOUBLE-CRYSTAL DIFFRACTION

DEVIATION FROM BRAGG LAW AND EDGE EFFECT IN DOUBLE-CRYSTAL DIFFRACTION
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摘要 A more precise expression for the angular deviation from the Bragg law and the angularrange of X-ray diffracted by perfect crystal are derived. The critical angle of the total re-flection of X-ray from the surface of crystal is obtained naturally by the new expressions,which well coincides with that deduced in optics in consideration of the refraction. Twopeaks appear on the rocking curve when X-rays shoot at the surface at a small glancing angleand simultaneously on the side of crystal although the double-crystal is in (n, -n) setting,which is called the "edge effect". The angle between these two peaks on the rocking curvecan be used to measure the number of electrons in an unit cell of crystal. A more precise expression for the angular deviation from the Bragg law and the angularrange of X-ray diffracted by perfect crystal are derived. The critical angle of the total re-flection of X-ray from the surface of crystal is obtained naturally by the new expressions,which well coincides with that deduced in optics in consideration of the refraction. Twopeaks appear on the rocking curve when X-rays shoot at the surface at a small glancing angleand simultaneously on the side of crystal although the double-crystal is in (n, -n) setting,which is called the 'edge effect'. The angle between these two peaks on the rocking curvecan be used to measure the number of electrons in an unit cell of crystal.
作者 李润身
出处 《Science China Mathematics》 SCIE 1991年第11期1378-1387,共10页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 ANGULAR deviation BRAGG LAW EDGE EFFECT diffraction. angular deviation Bragg law edge effect diffraction.
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