When an electron beam penetrates a sample in the SEM microscope chamber, the properties of the electron beam (i.e., its energy, E, or equivalently, wavelengthe) are related to the spacing of the atomic planes, d, through the Bragg's diffraction relation: ηλ = 2d sin 0 Where n is the integer order of diffraction. When Bragg's condition for a certain set of planes is met, a diffraction pattern can be produced and collected by a detector in order to analyze the crystal orientations and texture of the grains. Consider an incident beam energy of (1.47x10^1) keV, where the electron wavelength is given by the de Broglie equation: h 2m (Eo) ле = where m is the mass of an electron and E is expressed in joules. If the electron beam is directed at a silicon crystal that has a diamond-cubic crystal lattice with a lattice parameter of (4.8800x10^-10) meters, what is the value of the incident angle (0) produced to satisfy the first order diffraction of the (220) plane? Express you answer in degrees.
When an electron beam penetrates a sample in the SEM microscope chamber, the properties of the electron beam (i.e., its energy, E, or equivalently, wavelengthe) are related to the spacing of the atomic planes, d, through the Bragg's diffraction relation: ηλ = 2d sin 0 Where n is the integer order of diffraction. When Bragg's condition for a certain set of planes is met, a diffraction pattern can be produced and collected by a detector in order to analyze the crystal orientations and texture of the grains. Consider an incident beam energy of (1.47x10^1) keV, where the electron wavelength is given by the de Broglie equation: h 2m (Eo) ле = where m is the mass of an electron and E is expressed in joules. If the electron beam is directed at a silicon crystal that has a diamond-cubic crystal lattice with a lattice parameter of (4.8800x10^-10) meters, what is the value of the incident angle (0) produced to satisfy the first order diffraction of the (220) plane? Express you answer in degrees.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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