Lecture

Deviation from Bragg Scattering

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In course

MSE-450: Electron microscopy: advanced methods

With this course, the student will learn about advanced methods in transmission electron microscopy, especially what is the electron optical setup involved in the acquisition, and how to interpret the data. After the course, students will be able to unders ...

Description

This lecture explores the effect of sample shape on the reciprocal lattice nodes in 2-beam electron diffraction, using Fourier transforms. It discusses scattering deviations from the perfect Bragg condition, introducing the 'excitation error' within a kinematical approximation.

In MOOC

Transmission Electron Microscopy for Materials Sciences

This course provides a comprehensive introduction to transmission electron microscopy (TEM) in the field of materials science. For an instrument operated by a single user, modern TEM provides an analytical platform with unsurpassed versatility, giving access to structural and chemical information from the micrometer to the sub-angstrom scale. In a thin, electron-transparent sample one can measure the crystallinity, grain structure, size, and defects, and the chemical composition. The crystal lattice can be

Instructors (2)

Cécile Hébert

Cécile Hébert was born in France in 1970. She obtained her Ingeneer degree (physics) and her PhD degree (design of a new energy filter for transmission electron microscopy, under the direction of Prof. B. Jouffrey) at the Ecole Centrale in Paris. As a post doc with Prof. P. Schattschneider, she was working on the calculation of the fine structure of ionisation edges in EELS. As a research assistant at the Vienna University of Technology, she was one of the main participant to the CHIRALTEM project dealing with the measurement of magnetic circular dichroism in the electron microscope.

Duncan Thomas Lindsay Alexander

Duncan Alexander graduated with a PhD in Materials Science and Metallurgy at the University of Cambridge in 2003 for a thesis on the kinetics of metallurgical phase transformations under the direction of Lindsay Greer. From 2003 to 2007 he held a Royal Society Overseas Research Fellowship at the University of Sydney, and then post-doctoral positions at the University of Cambridge and Arizona State University, working first on materials electrochemistry with Carsten Schwandt and Derek Fray, and then the characterization of atmospheric aerosol particles with Peter Crozier and Jim Anderson. In 2007 he came to EPFL as a scientific collaborator in the group of László Forró, and from 2008 to 2017 he was a staff scientist at EPFL’s Interdisciplinary Centre for Electron Microscopy (CIME), specializing in the application of advanced transmission electron microscopy techniques and enabling electron microscopy research activities for groups across EPFL through teaching, training and support. In 2018 he joined the Electron Spectrometry and Microscopy Laboratory (LSME) as a full-time research scientist dedicated to advancing transmission electron microscopy techniques, and was promoted to the status of Research and Teaching Associate. In 2019, together with LSME director Cécile Hébert, he launched the first MOOC on transmission electron microscopy for materials science: https://www.coursera.org/learn/microscopy/For a complete list of peer-reviewed publications, see:https://orcid.org/0000-0003-4350-8587

Official source

Related concepts (32)

Scanning transmission electron microscopy

A scanning transmission electron microscope (STEM) is a type of transmission electron microscope (TEM). Pronunciation is [stɛm] or [ɛsti:i:ɛm]. As with a conventional transmission electron microscope (CTEM), images are formed by electrons passing through a sufficiently thin specimen. However, unlike CTEM, in STEM the electron beam is focused to a fine spot (with the typical spot size 0.05 – 0.2 nm) which is then scanned over the sample in a raster illumination system constructed so that the sample is illuminated at each point with the beam parallel to the optical axis.

Transmission electron microscopy

Transmission electron microscopy (TEM) is a microscopy technique in which a beam of electrons is transmitted through a specimen to form an image. The specimen is most often an ultrathin section less than 100 nm thick or a suspension on a grid. An image is formed from the interaction of the electrons with the sample as the beam is transmitted through the specimen. The image is then magnified and focused onto an imaging device, such as a fluorescent screen, a layer of photographic film, or a sensor such as a scintillator attached to a charge-coupled device.

Fourier analysis

In mathematics, Fourier analysis (ˈfʊrieɪ,_-iər) is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. The subject of Fourier analysis encompasses a vast spectrum of mathematics.

Discrete Fourier transform

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency. The interval at which the DTFT is sampled is the reciprocal of the duration of the input sequence. An inverse DFT (IDFT) is a Fourier series, using the DTFT samples as coefficients of complex sinusoids at the corresponding DTFT frequencies.

Precession electron diffraction

Precession electron diffraction (PED) is a specialized method to collect electron diffraction patterns in a transmission electron microscope (TEM). By rotating (precessing) a tilted incident electron beam around the central axis of the microscope, a PED pattern is formed by integration over a collection of diffraction conditions. This produces a quasi-kinematical diffraction pattern that is more suitable as input into direct methods algorithms to determine the crystal structure of the sample.

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