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The shape of a spot changes with: (a) decreased rotation angles around the x-axis; (b) decreased rotation angles around the y-axis; and (c) decreased focal lengths.
Published: March 2023
FIG. 5.4 The shape of a spot changes with: (a) decreased rotation angles around the x-axis; (b) decreased rotation angles around the y-axis; and (c) decreased focal lengths. More about this image found in The shape of a spot changes with: (a) decreased rotation angles around the ...
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Dependence of (a) r11, (b) r22, and (c) r22 on scan rotation angle (A) in the scanning system distortion of a scanning transmission electron microscope (Fujinaka et al., 2020).
Published: March 2023
FIG. 5.16 Dependence of (a) r11, (b) r22, and (c) r22 on scan rotation angle (A) in the scanning system distortion of a scanning transmission electron microscope ( Fujinaka et al., 2020 ). More about this image found in Dependence of (a) r11, (b) r...
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MOEM tunable grating/photonic crystal coupler tuned by (a) bending (Errando-Herranz et al., 2017) or rotation (Miniaturized MEMS Grating Spectrometer, 2021) and (b) stretching (Shih et al., 2003; and Cui et al., 2011).
Published: March 2023
FIG. 7.16 MOEM tunable grating/photonic crystal coupler tuned by (a) bending ( Errando-Herranz et al., 2017 ) or rotation ( Miniaturized MEMS Grating Spectrometer, 2021 ) and (b) stretching ( Shih et al., 2003 ; and Cui et al., 2011 ). More about this image found in MOEM tunable grating/photonic crystal coupler tuned by (a) bending ( Errand...
Images
Kerr rotation spectroscopy studies [taken from Stamm et al. (2017)] are shown. In (a) and (b), the Kerr rotation angles θK as a function of y-scan (in μm) are shown for certain values of the current density, j (j in 106 A/cm2) corresponding to thin films of Pt and W, respectively. (c) and (d) show the linear variation of θK with j for Pt and W. The slopes are opposite in the two cases.
Published: December 2022
FIG. 3.35 Kerr rotation spectroscopy studies [taken from Stamm et al. (2017) ] are shown. In (a) and (b), the Kerr rotation angles θK as a function of y-scan (in μm) are shown for certain values of the current density, j More about this image found in Kerr rotation spectroscopy studies [taken from Stamm et al....
Book Chapter
Series: AIPP Books, Methods
Published: March 2023
10.1063/9780735425743_005
EISBN: 978-0-7354-2574-3
ISBN: 978-0-7354-2572-9
... ; and Natarajan et al., 2022 ). The PDS system uses the point focus method for rotating paraboloidal light-gathering, which results in a substantially higher light-gathering ratio than the previous three heat collecting systems, and the operational temperature can reach 1000 °C or more. However, the dish...
Book Chapter

Series: AIPP Books, Principles
Published: March 2023
0
EISBN: 978-0-7354-2559-0
ISBN: 978-0-7354-2556-9
.... , Zhao , J. , and Ross , N. L. , “ General rules for predicting phase transitions in perovskites due to octahedral tilting ,” Phys. Rev. Lett.   95 , 025503 ( 2005 ). 10.1103/PhysRevLett.95.025503 Balachandran , P. V. and Rondinelli , J. M. , “ Interplay of octahedral rotations...
Book Chapter
Series: AIPP Books, Professional
Published: March 2023
10.1063/9780735425514_007
EISBN: 978-0-7354-2551-4
ISBN: 978-0-7354-2548-4
... of science. Category Component Brief description Intrinsic Simplicity Simple form of theories and explanations Symmetry Invariance or similarities to transformations or rotations Harmony Regularities and order behind nature Complexity Beauty as breaking symmetry and simplicity...
Images
Optical microscopy images of a BP for different values of the rotation angle (scale bar: 10 µm).
Published: December 2022
FIG. 2.1 Optical microscopy images of a BP for different values of the rotation angle (scale bar: 10 µm). Reprinted with permission from Mao et al., J. Am. Chem. Soc. 138 , 300–305 (2016). Copyright 2016 American Chemical Society. More about this image found in Optical microscopy images of a BP for different values of the rotation angl...
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The rotational spectrum of HCl(g) (top) compared to the stick spectrum of our 1DPR model of a proton rotating around a ring of radius 1.275 Å—the bond length of the HCl molecule—at 2000 K.
Published: December 2022
FIG. 6.2 The rotational spectrum of HCl(g) (top) compared to the stick spectrum of our 1DPR model of a proton rotating around a ring of radius 1.275 Å—the bond length of the HCl molecule—at 2000 K. More about this image found in The rotational spectrum of HCl(g) (top) compared to the stick spectrum of o...
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The hydrogen chloride molecule is shown rotating around the x axis (θ) and vibrating by the stretching and compression of the H–Cl bond (re)—two independent one-dimensional phenomena that can be modeled by the 1DPB wave functions for re and the 1DPR wave functions for θ.
Published: December 2022
FIG. 10.3 The hydrogen chloride molecule is shown rotating around the x axis (θ) and vibrating by the stretching and compression of the H–Cl bond (re)—two independent one-dimensional phenomena that can be modeled by the 1DPB wave functions More about this image found in The hydrogen chloride molecule is shown rotating around the x...
Images
The first two vibrational states (black, horizontal) with 12 rotational states (blue, horizontal) shown on each, the harmonic oscillator potential (black, dashed), the Morse potential (black, solid), the 1DPB wave functions (green, v = 0 and orange, v = 1), and the change in bond length with vibrational excitation (gray, dotted) are shown for the H35Cl molecule.
Published: December 2022
FIG. 10.4 The first two vibrational states (black, horizontal) with 12 rotational states (blue, horizontal) shown on each, the harmonic oscillator potential (black, dashed), the Morse potential (black, solid), the 1DPB wave functions (green, v = 0 and orange, v = 1 More about this image found in The first two vibrational states (black, horizontal) with 12 rotational sta...
Images
The assignment of vibrational and rotational quantum numbers to the rovibrational infrared absorption spectrum of HCl(g).
Published: December 2022
FIG. 10.6 The assignment of vibrational and rotational quantum numbers to the rovibrational infrared absorption spectrum of HCl(g). More about this image found in The assignment of vibrational and rotational quantum numbers to the rovibra...
Book Chapter
Series: AIPP Books, Principles
Published: March 2023
10.1063/9780735425590_001
EISBN: 978-0-7354-2559-0
ISBN: 978-0-7354-2556-9
... symmetry of a crystal from its macroscopic form. Although all single crystals possess translational symmetry, based on permissible symmetry operations such as n-fold proper rotation, inversion about center of symmetry, combination of rotation and inversion, reflection across a mirror plane, one...
Images
Plot showing spin wave excitation. Each spin is slightly rotated with respect to its neighbor. A complete cycle of the rotation is shown. These spin wave excitations are called “magnons“ (analogous to phonons denoting lattice excitations).
Published: December 2022
FIG. 1.6 Plot showing spin wave excitation. Each spin is slightly rotated with respect to its neighbor. A complete cycle of the rotation is shown. These spin wave excitations are called “magnons“ (analogous to phonons denoting lattice excitations). More about this image found in Plot showing spin wave excitation. Each spin is slightly rotated with respe...
Book Chapter
Series: AIPP Books, Methods
Published: March 2023
10.1063/9780735425743_008
EISBN: 978-0-7354-2574-3
ISBN: 978-0-7354-2572-9
... ] Another gate that is critical to this work is a gate referred to as a controlled phase rotation gate Zk, which is represented as (8.2) Z k = [ 1 0 0 e 2 π i 2 k ] Quantum Fourier transform (QFT) and QFT-based addition Algorithms...
Images
(a) Micromachined interferometric accelerometer showing the two optical beams, one from the diffraction grating and second from the mirror, which will interfere at the photodetector. (b) SiN nanobeam pair acting as “zipper” photonic crystal optomechanical cavity for accelerometry (Krause et al., 2012). (c) Microdisk coupled to cantilever acting as a force sensor (Doolin et al., 2014). The cantilever can deflect in both out-of-plane and in-plane mechanical modes. This results in the modulation of the disk's optical resonance frequency and is read out optically using a coupled fiber. (d) Split beam nano-cavity torque sensor (Wu et al., 2014) showing the three degrees of freedom. One is out-of-plane rotation of the suspended mirror about the torsion beam, the second is in-plane bending about the torsion beam, and the third is out-of-plane bending of the cantilever mirror.
Published: March 2023
using a coupled fiber. (d) Split beam nano-cavity torque sensor ( Wu et al., 2014 ) showing the three degrees of freedom. One is out-of-plane rotation of the suspended mirror about the torsion beam, the second is in-plane bending about the torsion beam, and the third is out-of-plane bending More about this image found in (a) Micromachined interferometric accelerometer showing the two optical bea...
Book Chapter

Series: AIPP Books, Professional
Published: March 2023
10.1063/9780735425514_024
EISBN: 978-0-7354-2551-4
ISBN: 978-0-7354-2548-4
.... This coordinate system can be arbitrarily rotated to be easier to interpret. Many factor rotations exist; Table I uses varimax rotations, which seeks factor loadings with a few large values and as many zeros as possible and leads to orthogonal factors. In EFA, other rotations allow factors to be correlated...
Book Chapter
Series: AIPP Books, Professional
Published: March 2023
10.1063/9780735425712_019
EISBN: 978-0-7354-2571-2
ISBN: 978-0-7354-2568-2
... High school, Introductory college MCT R5 Force, Velocity and Acceleration Test (FVA) Force, velocity, acceleration Introductory college MCT R6 Three Tier Circular Motion Test Uniform circular motion, central forces High school, Introductory college 3-tier MCT R7 Rotational...