Lecture

Bragg's law: Transmission Microscopy

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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 covers Bragg's law as applied to Transmission Electron Microscopy (TEM), explaining the relationship between the wavelength of the electron beam, the crystal lattice spacing, and the angle of diffraction. The instructor discusses the mathematical formula of Bragg's law and its significance in determining the crystal structure in TEM images.

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)

Diffraction

Diffraction is the interference or bending of waves around the corners of an obstacle or through an aperture into the region of geometrical shadow of the obstacle/aperture. The diffracting object or aperture effectively becomes a secondary source of the propagating wave. Italian scientist Francesco Maria Grimaldi coined the word diffraction and was the first to record accurate observations of the phenomenon in 1660.

Fraunhofer diffraction

In optics, the Fraunhofer diffraction equation is used to model the diffraction of waves when plane waves are incident on a diffracting object, and the diffraction pattern is viewed at a sufficiently long distance (a distance satisfying Fraunhofer condition) from the object (in the far-field region), and also when it is viewed at the focal plane of an imaging lens. In contrast, the diffraction pattern created near the diffracting object and (in the near field region) is given by the Fresnel diffraction equation.

Fresnel diffraction

In optics, the Fresnel diffraction equation for near-field diffraction is an approximation of the Kirchhoff–Fresnel diffraction that can be applied to the propagation of waves in the near field. It is used to calculate the diffraction pattern created by waves passing through an aperture or around an object, when viewed from relatively close to the object. In contrast the diffraction pattern in the far field region is given by the Fraunhofer diffraction equation. The near field can be specified by the Fresnel number, F, of the optical arrangement.

Crystal structure

In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions, or molecules in a crystalline material. Ordered structures occur from the intrinsic nature of the constituent particles to form symmetric patterns that repeat along the principal directions of three-dimensional space in matter. The smallest group of particles in the material that constitutes this repeating pattern is the unit cell of the structure.

Cryogenic electron microscopy

Cryogenic electron microscopy (cryo-EM) is a cryomicroscopy technique applied on samples cooled to cryogenic temperatures. For biological specimens, the structure is preserved by embedding in an environment of vitreous ice. An aqueous sample solution is applied to a grid-mesh and plunge-frozen in liquid ethane or a mixture of liquid ethane and propane. While development of the technique began in the 1970s, recent advances in detector technology and software algorithms have allowed for the determination of biomolecular structures at near-atomic resolution.

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