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| 001 | 201762 | ||
| 005 | 20240610120451.0 | ||
| 024 | 7 | _ | |a 10.1016/j.ultramic.2013.09.007 |2 doi |
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| 100 | 1 | _ | |a Lentzen, Markus |0 P:(DE-Juel1)130796 |b 0 |e Corresponding Author |u fzj |
| 245 | _ | _ | |a No surprise in the first Born approximation for electron scattering |
| 260 | _ | _ | |a Amsterdam |c 2014 |b Elsevier Science |
| 336 | 7 | _ | |a Journal Article |b journal |m journal |0 PUB:(DE-HGF)16 |s 1435559190_10713 |2 PUB:(DE-HGF) |
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| 520 | _ | _ | |a In a recent article it is argued that the far-field expansion of electron scattering, a pillar of electron diffraction theory, is wrong (Treacy and Van Dyck, 2012 [1]). It is further argued that in the first Born approximation of electron scattering the intensity of the electron wave is not conserved to first order in the scattering potential. Thus a “mystery of the missing phase” is investigated, and the supposed flaw in scattering theory is seeked to be resolved by postulating a standing spherical electron wave (Treacy and Van Dyck, 2012 [1]). In this work we show, however, that these theses are wrong. A review of the essential parts of scattering theory with careful checks of the underlying assumptions and limitations for high-energy electron scattering yields: (1) the traditional form of the far-field expansion, comprising a propagating spherical wave, is correct; (2) there is no room for a missing phase; (3) in the first Born approximation the intensity of the scattered wave is conserved to first order in the scattering potential. The various features of high-energy electron scattering are illustrated by wave-mechanical calculations for an explicit target model, a Gaussian phase object, and for a Si atom, considering the geometric conditions in high-resolution transmission electron microscopy. |
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| 773 | _ | _ | |a 10.1016/j.ultramic.2013.09.007 |g Vol. 136, p. 201 - 210 |0 PERI:(DE-600)1479043-9 |p 201 - 210 |t Ultramicroscopy |v 136 |y 2014 |x 0304-3991 |
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