Practical computation of amplitudes and phases in electron diffraction

Self, Peter; O’Keefe, Michael A.; Buseck, Peter R.; Spargo, A.E.C.

doi:10.1016/0304-3991(83)90053-0

Cited by 134 publications

(57 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(i) The oscillation periodicities of both the amplitudes and the phases for different beams in our result are systematically a little smaller than those reported by Self et al (1983). We suspect that this may be due to different ways of calculating the scattering factor.…”

Section: Consistency In Theemcontrasting

confidence: 54%

See 1 more Smart Citation

Bloch waves and multislice in transmission and reflection diffraction

Ma¹,

Marks²

1990

Acta Cryst Sect A

View full text Add to dashboard Cite

The consistency between Bloch-wave and multislice approaches to calculating high-energy electron diffraction is investigated in both transmission and reflection cases, the emphasis being upon the latter. It is first shown, in more detail than previously published, that in transmission the two yield identical results. Next, the Bloch-wave approach for reflection is shown to yield a stationary solution in multislice, except for a small effect from the surface truncation. It is pointed out that the multislice approach can be exploited to solve exactly for the reflected wave for an arbitrary surface potential by using it as a Picard iteration solution of the Schr6dinger equation. The surface potential scattering is not incidence-angle related and is not significant as might be expected. The introduction of absorption improves the consistency between the two methods. Finally, the stationary solutions are compared with solutions obtained using a top-hat incident wave. The latter approach leads to partially stationary solutions, although it is very hard to identify these.

show abstract

Section: Consistency In Theemcontrasting

confidence: 54%

“…(ii) The sign of the phase in our plots is opposite to that of Self et al (1983); this is possibly due to a different choice of zero reference point -we have taken the (000) beam as the reference point.…”

Section: Consistency In Theemmentioning

confidence: 94%

Bloch waves and multislice in transmission and reflection diffraction

Ma¹,

Marks²

1990

Acta Cryst Sect A

View full text Add to dashboard Cite

show abstract

“…For these computations 2267 diffracted beams were propagated through the crystal. In order to do this, interactions were considered with 9089 phase-grating coefficients out to 25.85nm-l. For accurate representation of the phase-grating by the 128 x 128 array, 16 Results and Discussion For specimen thickness greater than 20nm at Scherzer defocus, the computer HREM images contain additional non-structural detail ( fig. 7, 100% perfect).…”

Section: Computationsmentioning

confidence: 99%

Damage of zeolite Y in the TEM and its effects on TEM images

Csencsits

Gronsky

1987

Ultramicroscopy

View full text Add to dashboard Cite

“…The multislice simulation algorithm (Cowley & Moodie, 1957) is one of the most valuable simulations for CTEM. New applications, modifications, and analysis of the algorithm appear regularly (Goodman & Moodie, 1974;lshizuka & Uyeda, 1977;O'Keefe & Buseck, 1979;Self, O'Keefe, Buseck & Spargo, 1983;Van Dyck, 1985). A recent modification of the algorithm has extended its applicability to include the simulation of ADF STEM images (Kirkland, Loane & Silcox 1987).…”

Section: Introductionmentioning

confidence: 99%

Visibility of single heavy atoms on thin crystalline silicon in simulated annular dark-field STEM images

Loane¹,

Kirkland²,

Silcox³

1988

Acta Cryst Sect A

186

View full text Add to dashboard Cite

The multislice method, pioneered by Cowley and Moodie, has recently been adapted to simulate annular dark-field scanning transmission electronmicroscope (ADF STEM) images. This paper presents a series of calculations using this new approach with experimental parameters appropriate for a VG-HB501 STEM to investigate the visibility of single heavy adatoms on thin crystalline silicon membranes. The tendency for electrons to channel along columns of atoms in crystals can greatly increase the intensity incident on an adatom on the exit surface, thereby increasing the adatom visibility. The simulations indicate that an adatom on the exit surface on a column of crystal atoms is up to three times as visible as an adatom on the entrance surface, and that the adatom remains highly visible as the crystal thickness is increased. Tilting the specimen or displacing the adatom from the column appears to lower the visibility of the adatom dramatically. These calculations suggest that, with the appropriate imaging conditions, a single gold adatom may be visible on at least 235 of (111) silicon.

show abstract

Practical computation of amplitudes and phases in electron diffraction

Cited by 134 publications

References 37 publications

Bloch waves and multislice in transmission and reflection diffraction

Bloch waves and multislice in transmission and reflection diffraction

Damage of zeolite Y in the TEM and its effects on TEM images

Visibility of single heavy atoms on thin crystalline silicon in simulated annular dark-field STEM images

Contact Info

Product

Resources

About