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Electron diffraction
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==== Formation of a diffraction pattern ==== {{anchor|Figure 10}}[[File:ElmagLensScheme.png|left|thumb|300px|Figure 10: Imaging scheme of magnetic lens (center, colored ray diagram) with image (left) and diffraction pattern (right, black background)|alt=Simple comparison of imaging, ray diagram and diffraction in an electron microscope.]] In TEM, the electron beam passes through a thin film of the material as illustrated in [[#Figure 10|Figure 10]]. Before and after the sample the beam is manipulated by the [[electron optics]]<ref name=":8" /> including [[magnetic lens]]es, deflectors and [[apertures]];<ref name="Pella">{{Cite web |title=Apertures, Electron Microscope Apertures |url=https://www.tedpella.com/apertures-and-filaments_html/apertures-overview.aspx |access-date=2023-02-11|website=www.tedpella.com}}</ref> these act on the electrons similar to how glass lenses focus and control light. Optical elements above the sample are used to control the incident beam which can range from a wide and parallel beam to one which is a converging cone and can be smaller than an atom, 0.1 nm. As it interacts with the sample, part of the beam is diffracted and part is transmitted without changing its direction. This occurs simultaneously as electrons are everywhere until they are detected ([[Wave function collapse|wavefunction collapse]]) according to the [[Copenhagen interpretation]].<ref name=":12" /><ref name=":13">{{Cite book |last=Gbur |first=Gregory J. |url=https://www.jstor.org/stable/j.ctvqc6g7s |title=Falling Felines and Fundamental Physics |date=2019 |publisher=Yale University Press |isbn=978-0-300-23129-8 |pages=243β263 |doi=10.2307/j.ctvqc6g7s.17|jstor=j.ctvqc6g7s |s2cid=243353224 }}</ref> Below the sample, the beam is controlled by another set of magnetic lneses and apertures.<ref name=":8" /> Each set of initially parallel rays (a [[#Geometrical considerations|plane wave]]) is focused by the first lens ([[Objective (optics)|objective]]) to a point in the [[back focal plane]] of this lens, forming a spot on a [[Detectors for transmission electron microscopy|detector]]; a map of these directions, often an array of spots, is the diffraction pattern. Alternatively the lenses can form a magnified image of the sample.<ref name=":8" /> Herein the focus is on collecting a diffraction pattern; for other information see the pages on [[transmission electron microscopy|TEM]] and [[scanning transmission electron microscopy]].
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