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The equation can be used to fit (regress) discrete values of the shift factor a T vs. temperature. Here, values of shift factor a T are obtained by horizontal shift log(a T ) of creep compliance data plotted vs. time or frequency in double logarithmic scale so that a data set obtained experimentally at temperature T superposes with the data set ...
The time–temperature shift factor can also be described in terms of the activation energy (E a). By plotting the shift factor a T versus the reciprocal of temperature (in K), the slope of the curve can be interpreted as E a /k, where k is the Boltzmann constant = 8.64x10 −5 eV/K and the activation energy is expressed in terms of eV.
For any complex number written in polar form (such as r e iθ), the phase factor is the complex exponential (e iθ), where the variable θ is the phase of a wave or other periodic function. The phase factor is a unit complex number , i.e. a complex number of absolute value 1 .
The Q factor is a parameter that describes the resonance behavior of an underdamped harmonic oscillator (resonator). Sinusoidally driven resonators having higher Q factors resonate with greater amplitudes (at the resonant frequency) but have a smaller range of frequencies around that frequency for which they resonate; the range of frequencies for which the oscillator resonates is called the ...
Figure 10. The relativistic Doppler shift formula is applicable to both sound and light. First-year physics textbooks almost invariably analyze Doppler shift for sound in terms of Newtonian kinematics, while analyzing Doppler shift for light and electromagnetic phenomena in terms of relativistic kinematics.
If the emitted photon has more energy than the absorbed photon, the energy difference is called an anti-Stokes shift; [9] this extra energy comes from dissipation of thermal phonons in a crystal lattice, cooling the crystal in the process. Anti-Stokes shifts may also be due to triplet-triplet annihilation processes, resulting in the formation ...
In physics, the Lamb shift, named after Willis Lamb, is an anomalous difference in energy between two electron orbitals in a hydrogen atom. The difference was not predicted by theory and it cannot be derived from the Dirac equation , which predicts identical energies.
While in a modern context this experiment is assumed to only measure speed, the mechanical wave theory of the time expected a fringe shift to match the "additional path length." It was calculated to result in a offset arrival time at the detector and a phase shift of 0.4 wavelengths.