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quantization

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Image
Published: 01 December 2004
Fig. 2 Sampling, resolution, and quantization. (a) SEM image of a cleaved silicon wafer. (b) Intensity trace (gray graph) along the white line shown on the image. The black dots represent sampling points. The black line is the digital approximation given by the sampling shown. More
Image
Published: 01 December 2004
Fig. 3 The effect of resolution and quantization on a digital image. The same image as Fig. 2 in different levels of resolution and quantization. (a) 64 × 64 pixels and four gray levels. (b) 64 × 64 pixels and 256 gray levels. (c) 512 × 512 pixels and four gray levels. (d) 512 × 512 pixels More
Image
Published: 01 January 1986
Fig. 4 Excitation of electronic energy levels. (a) Transition between two quantized energy levels. (b) Photoejection of electrons by x-radiation More
Image
Published: 15 December 2019
Fig. 10 Excitation of electronic energy levels. (a) Transition between two quantized energy levels. (b) Photoejection of electrons by x-radiation More
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003757
EISBN: 978-1-62708-177-1
... to microscopy of materials. The article describes the basic concepts of sampling and resolution and quantization of light microscopy, scanning electron microscopy, and transmission electron microscopy. It discusses the acquisition of a digital image that accurately represents the sample under observation...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003397
EISBN: 978-1-62708-195-5
... are quantized in the form of stacks of two-dimensional, finite thickness layers or cross sections. If these layers are very thin, then the parts made will be sufficiently accurate to suit a range of applications. Nearly all RP parts can be characterized by a stair-step effect that approximates the original...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001733
EISBN: 978-1-62708-178-8
... characteristic x-rays, as illustrated in Fig. 4 . Figure 4(a) shows a plot of absorbance versus energy for radiation lower in energy than the x-ray region. In this case, photon energy is used to promote electrons from low-lying orbitals to higher ones. The transition is from a stable quantized state...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001729
EISBN: 978-1-62708-178-8
... and negative charges are equal. The electrons are characterized by energy levels related to the radii of the shells from the atomic nucleus, and these energy levels are quantized or have discrete allowed values. If the atom absorbs energy from an external source, the electrons may be raised to higher energy...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001756
EISBN: 978-1-62708-178-8
... is brief, and the stored energy is released as the electrons from other orbitals drop into the vacant orbital. These electron transitions are of distinct energy jumps, that is, they are quantized, and the radiation emitted has specific wavelengths. Therefore, x-rays exiting the target have a few strong...
Book Chapter

By S. Lampman
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006645
EISBN: 978-1-62708-213-6
... is from a stable quantized state to an unstable quantized state. The atom, ion, or molecule that is the target defines the energy difference. The sample absorbs only photons with energy very close to this energy difference. The result is the familiar absorption peak found in visible, ultraviolet...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006643
EISBN: 978-1-62708-213-6
... as the electrons from other orbitals drop into the vacant orbital. These electron transitions are of distinct energy jumps, that is, they are quantized, and the radiation emitted has specific wavelengths. Therefore, x-rays exiting the target have a few strong characteristic concentrations of specific wavelengths...
Series: ASM Handbook
Volume: 2
Publisher: ASM International
Published: 01 January 1990
DOI: 10.31399/asm.hb.v02.a0001109
EISBN: 978-1-62708-162-7
... of this is that the magnetic flux contained in the loop will be quantized in units of the flux quantum (Φ 0 ) ( Ref 57 ). When a thick nonsuperconducting barrier interrupts the current path, the supercurrent through the barrier is zero and the phases on either side of the barrier act independently. If the barrier...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005153
EISBN: 978-1-62708-186-3
... inexpensive and relatively simple to build. However, modifying an analog controller involves effectively rebuilding it. In contrast, digital controllers are relatively expensive and have to be carefully designed to account for issues related to converting analog signals to digital signals such as quantization...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001750
EISBN: 978-1-62708-178-8
... of quantization must differ by one. The two possible orientations of these electrons in the applied field correspond to the projections M s = ± 1 2 along the magnetic-field direction. Each orientation is associated with a different energy; the one with the spins antiparallel to the external field ( M...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005639
EISBN: 978-1-62708-174-0
... by a welding laser are ∼1 eV energy ( Ref 19 ) and react with the valence electrons of the workpiece, which are of comparable energy ( Ref 20 ). This energy transfer is quantized (massless photons travel at only the speed of light, unlike electrons that can have variable velocity); hence, the photon loses all...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005428
EISBN: 978-1-62708-196-2
... into Q orientations and allocated randomly to the orientations of the grains of the 3-D microstructure. This produces a 3-D microstructure with the correct texture but random MDF. This MDF is calculated and quantized into n b bins, such that S k is the number of boundaries with misorientations...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001730
EISBN: 978-1-62708-178-8
... atoms) the fine sample droplets produced by the nebulizer. Next is the monochromator, which isolates a wavelength of light characteristic of a particular quantized transition between electronic energy levels of the outer electrons of the selected analyte element. The third component is the light...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001736
EISBN: 978-1-62708-178-8
... is of higher or lower energy than the incident photon. The energy of the scattered photons in these types of scattering events is h(v 0 ± v n ). Because the energy levels of the molecule are discrete and well defined, energy can be lost or gained by the molecule only in quantized or discrete amounts...
Book Chapter

Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006685
EISBN: 978-1-62708-213-6
... the incident photon. The energy of the scattered photons in these types of scattering events is h(v 0 ± v n ). Because the energy levels of the molecule are discrete and well defined, energy can be lost or gained by the molecule only in quantized or discrete amounts. Therefore, two types of scattered...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006940
EISBN: 978-1-62708-395-9