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Old 08-20-2011, 02:40 PM
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MonsieurM MonsieurM is offline
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since nothing is done except the matter be decompounded, and because it is not perfected unless the colours be thoroughly passed and accomplished. Know then, that the division that was made upon the water by the ancient philosophers separates it into four substances; one into two, and three into one; the third part of which is colour, as it were-a coagulated moisture; but the second and third waters are the Weights of the Wise.
now read the following two infos : (water is dipolar )

from: James Y Johnson -- Dipolar resonance -- Anomalous dispersion bands

Abstract -- Changes in the energy content of dipolar substances are produced by exposure to a concentrated electromagnetic field having one or more frequencies corresponding to wavelengths between 3 mm. and 6 metres approximately and equal to characteristic periods of the substances treated. The process applies to naturally dipolar substances and to those in which dipoles can be induced by a field. The characteristic periods of the substances are of three kinds depending respectively on (1) the relaxation time of the dipoles when orientated by the field, (2) the natural oscillation-period of the dipoles, (3) the term-difference frequencies of the atoms. They are associated with anomalous variations in the optical and dielectric properties and can be found by examining those properties in a field of varying frequency. They can be varied within limits by changing the temperature, pressure, concentration, &c., and may thus be adjusted to correspond exactly with a field of approximately correct frequency. The fields may be standing ones produced between conductors such as concentric tubes or the plate resonators described in Specification 417,564, or radiated fields concentrated by reflectors. They may comprise several different frequencies and constant electrostatic fields may be superimposed on them. The exposure may be continuous or intermittent and different frequencies may be applied in succession...
...The process applies to naturally dipolar substances and to those in which dipoles can be induced by a field

Modeling of quartz crystal oscillators by using nonlinear (fractal) dipolar method

from: IEEE Xplore - Modeling of quartz crystal oscillators by using nonlinear dipolar method

A quartz crystal oscillator can be thought of as a resonator connected across an amplifier considered as a nonlinear dipole the impedance of which depends on the amplitude of the current that flows through it. The nonlinear amplifier resistance and reactance are obtained by using a time domain electrical simulator like SPICE (Simulation Program with Integrated Circuit Emphasis): the resonator is replaced with a sinusoidal current source of the same frequency and a set of transient analyses is performed by giving the current source a larger amplitude. A Fourier analysis of the steady-state voltage across the dipolar amplifier is performed to calculate both real and imaginary parts of the dipolar impedance as a function of the current amplitude. From these curves, it is then possible to accurately calculate the oscillation amplitude and frequency without having to perform unacceptably long transient analyses needed by a direct oscillator closed loop simulation. This method implemented in the Analyse Dipolaire des Oscillateurs a Quartz or Quartz Crystal Oscillators Dipolar Analysis (ADOQ) program calculates the oscillation start-up condition, the oscillation steady-state features (oscillation amplitude and frequency), and the oscillator sensitivity to various parameters. The oscillation nonlinear differential equation is solved by using the slowly varying function method so that the program quickly and accurately calculates the current amplitude and frequency transients. Measurements performed on an actual amplifier show a very good agreement with the results obtained by the simulation program.

now we have frequencies and a method from James Y. JOHNSON article (read it please )
Signs and symbols rule the world, not words nor laws. -Confucius.

Last edited by MonsieurM; 08-22-2011 at 01:48 AM.
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