For very small energy width, the ensemble does not exist at all for most values of since no states fall within the range.
2.
Where ?E det defines as the energy width of a channel in a multichannel analyzer, and dE det / dx is the effective stopping power of the recoiled particles.
3.
The microcanonical ensemble is defined by taking the limit of the density matrix as the energy width goes to zero, however a problematic situation occurs once the energy width becomes smaller than the spacing between energy levels.
4.
The microcanonical ensemble is defined by taking the limit of the density matrix as the energy width goes to zero, however a problematic situation occurs once the energy width becomes smaller than the spacing between energy levels.
5.
Non-monochromatic magnesium X-rays have a wavelength of 9.89 angstroms ( 0.989 nm ) which corresponds to a photon energy of 1253 eV . The energy width of the non-monochromated X-ray is roughly 0.70 eV, which, in effect is the ultimate energy resolution of a system using non-monochromatic X-rays.
6.
For a well optimized monochromator, the energy width of the monochromated aluminum " K "-alpha X-rays is 0.16 eV, but energy broadening in common electron energy analyzers ( spectrometers ) produces an ultimate energy resolution on the order of FWHM = 0.25 eV which, in effect, is the ultimate energy resolution of most commercial systems.
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