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Exercise:
For the investigation of the crystalline structure of metals electrons with a wavelength of laO are used. Calculate the corresponding momentum and kinetic energy of the electrons.

Solution:
The momentum is p pF fracnchla resultpS The kinetic energy is then sscEkin EkF fracp^timesncme Ek resultEkeVP The kinetic energy is a significant fraction of the rest energy so it would be better to treat the electron as a relativistic particle. With the relativistic energy-momentum-mass relation E^ E_+sscEkin^ E_^+pc^ it follows for the kinetic energy: sscEkin EkrelF sqrtm^+leftptimesnccright^-m sqrtm^+pceV^-m resultEkrelP The classical approximation is slightly to high.
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Exercise:
For the investigation of the crystalline structure of metals electrons with a wavelength of laO are used. Calculate the corresponding momentum and kinetic energy of the electrons.

Solution:
The momentum is p pF fracnchla resultpS The kinetic energy is then sscEkin EkF fracp^timesncme Ek resultEkeVP The kinetic energy is a significant fraction of the rest energy so it would be better to treat the electron as a relativistic particle. With the relativistic energy-momentum-mass relation E^ E_+sscEkin^ E_^+pc^ it follows for the kinetic energy: sscEkin EkrelF sqrtm^+leftptimesnccright^-m sqrtm^+pceV^-m resultEkrelP The classical approximation is slightly to high.
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quantum physics
Tags
electron, momentum, particle wave, wavelength
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(2, default)
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Language
ENG (English)
Type
Calculative / Quantity
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