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Vibration Overtone Hyperpolarizability Measured for H2 Using Electric Field Induced Second Harmonic Generation

2020
The vibrational contribution to the second hyperpolarizability (γ) of gas phase H2 was measured using electric field induced second harmonic generation. Measurements were made for the pure vibrational 3-0 Q(J) overtone transitions (v=0,J → v’=3,J for J = 0,1,2,3). Measured intensities were found to be 4-14% larger than ab initio calculations. The first
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Decay of local stretching overtones for terminal groups attached to a hydrocarbon chain: A theoretical investigation based on a Morse-harmonic model

The Journal of Chemical Physics, 1989
The decay of excited stretching overtones of some local modes (C–H, C 3/4 C,C=C, C=O) attached to a hybrocarbon chain is theoretically investigated. The assumptions used in a previous paper [A. Lami and G. Villani, J. Chem. Phys. 88, 5186 (1988)] are critically examined and the model is improved by allowing the transfer of up to three quanta from the ...
A Lami, G Villani
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Bechmann's number for harmonic overtones of thickness-shear vibrations of rotated-y-cut quartz plates

International Journal of Solids and Structures, 1969
Abstract A method is developed for calculating Bechmann's Number for the harmonic overtones of antisymmetric thickness-shear vibrations of crystal plates. In most cases the solution can be expressed as a simple, explicit formula. Values of Bechmann's Number for the AT-cut-quartz plate for the first ten modes are calculated for the ranges of ...
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The Departure of the Overtones of a Vibrating String from a True Harmonic Series

The Journal of the Acoustical Society of America, 1938
The changes in frequency caused by variations in tension due to the amplitude of vibration of a wire are treated by the method of perturbations. The constraints introduced by the bridges at the end nodes as studied by Raman, and on the bending moments due to the stiffness of the wire are included in the treatment. The overtones do not, in general, form
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Special Nonlinear Effects of the Harmonic 3rd Overtone Thickness-Shear Mode on its Fundamental Mode in F-3F Modal Interactions and Drive Level Dependency

2018 IEEE International Ultrasonics Symposium (IUS), 2018
Previous papers and experiments have well documented the drive level dependency in a single mode. The parameters governing drive level dependency in quartz resonators however are still not well understood. We show in this paper the nonlinear interactions of the 3rdovertone of thickness shear (f3) mode and the fundamental thickness shear mode (f1) on ...
Yook-Kong Yong, Xiangnan Pang, Ji Wang
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Bechmann's Number for Harmonic Overtones of Thickness/Twist Vibrations of Rotated-Y-Cut Quartz Plates

The Journal of the Acoustical Society of America, 1967
Two methods are described for calculating Bechmann's number for harmonic overtones of thickness/twist modes in rotated Y-cut quartz plates: one based on an exact solution of the equations of elasticity and the other based on an asymptotic form of the exact solution.
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A new nonlinear coupling of the fundamental and its harmonic overtone thickness shear modes for improvement of resonator Q

2012 IEEE International Ultrasonics Symposium, 2012
Ultra high frequency resonators have higher noise levels due to their greater miniaturization and higher power density. This paper proposes a new method using nonlinear acoustic coupling for improving the resonator Q and hence reducing noise levels in third overtone thickness shear resonators.
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Phase-Locked EMF Resonance Subjugation for DNA Correction via Harmonic Overtone Convergence

This white paper presents a conceptual framework for a phase-locked electromagnetic field (EMF)resonance subjugation system aimed at correcting damaged DNA through harmonic overtone convergence.The approach drives damaged DNA back toward its native conformational and electronic state bylocking external EM fields to the molecule’s measured spectral ...
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The Departure of the Overtones of a Vibrating Wire From a True Harmonic Series

The Journal of the Acoustical Society of America, 1939
R. S. Shankland, J. W. Coltman
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