An expression for the fourth-order rotational correction terms of the effective dipole moments of nonrigid asymmetric rotors has been derived using the method of contact transformation. The treatment takes into account the large-amplitude bending motion. The correction terms have been calculated for the different bending states of the H(2)O molecule. A poor convergence of the rotational series for this molecule has been obtained and some different nonpolynomial forms for these series, obtained by different summation methods, have been proposed and tested. Copyright 2001 Academic Press.
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http://dx.doi.org/10.1006/jmsp.2001.8306 | DOI Listing |
J Sports Sci
November 2024
School of Sport and Exercise Sciences, University of Chichester, Chichester, UK.
Conventional low-pass filtering of 3D motion capture signals prior to estimating knee joint moments and ACL injury risk has known limitations. This study aimed to evaluate the fractional Fourier filter (FrFF), which employs a time-varying cut-off frequency, for assessing peak knee moments during common ACL injury risk screening tasks. Ground reaction force and motion data were collected from 23 team sport athletes performing 45° unanticipated sidesteps and drop jumps.
View Article and Find Full Text PDFJ Chem Phys
September 2024
Department of Chemistry and Biochemistry, Utah State University, Logan, Utah 84322, USA.
Two-dimensional electronic spectroscopy (2D-ES) has become an important technique for studying energy transfer, electronic coupling, and electronic-vibrational coherence in the past ten years. However, since 2D-ES is not interface specific, the electronic information at surfaces and interfaces could not be demonstrated clearly. Two-dimensional electronic sum-frequency generation (2D-ESFG) is an emerging spectroscopic technique that explores the correlations between different interfacial electronic transitions and is the extension of 2D-ES to surface and interfacial specificity.
View Article and Find Full Text PDFExceptional points (EPs) of non-Hermitian systems are sensitive to perturbations and facilitate the development of highly sensitive gyroscopes. We propose a compact multi-mode optical gyroscope protocol that incorporates two coupled rings and exhibits a fourth-order EP, achieving higher sensitivity compared to gyroscopes based on second-order EPs. We show that the gyroscope sensitivity can be further improved by deviating from the fourth-order EP due to the gain dependence on the cavity intensity.
View Article and Find Full Text PDFSensors (Basel)
May 2024
Key Laboratory of Electronics and Information Technology for Space Systems, National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China.
Spaceborne synthetic aperture radar (SAR) is an advanced microwave imaging technology that provides all-weather and all-day target information. However, as spaceborne SAR resolution improves, traditional echo signal models based on airborne SAR design become inadequate due to the curved orbit, Earth rotation, and increased propagation distance. In this study, we propose an accurate range model for high-resolution spaceborne SAR by analyzing motion trajectory and Doppler parameters from the perspective of the space geometry of spaceborne SAR.
View Article and Find Full Text PDFPNAS Nexus
April 2024
Departement d'informatique de l'ENS, ENS, CNRS, PSL University, 75014 Paris, France.
Physicists routinely need probabilistic models for a number of tasks such as parameter inference or the generation of new realizations of a field. Establishing such models for highly non-Gaussian fields is a challenge, especially when the number of samples is limited. In this paper, we introduce scattering spectra models for stationary fields and we show that they provide accurate and robust statistical descriptions of a wide range of fields encountered in physics.
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