Diffrraction of electron experiment to be observable

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SUMMARY

The discussion centers on the conditions necessary for observing electron diffraction experiments, specifically emphasizing that the De Broglie wavelength of electrons must be comparable to the interatomic spacing. Participants clarify that "same order" refers to the order of magnitude, indicating that both measurements should align within the same power of ten. The conversation also highlights practical methods for verifying this relationship by calculating slit width as a function of wavelength and angular fringe spacing, ultimately leading to a better understanding of observable diffraction patterns.

PREREQUISITES
  • Understanding of De Broglie wavelength and its significance in quantum mechanics.
  • Familiarity with interatomic spacing and its relevance in diffraction experiments.
  • Basic knowledge of angular measurements in physics, particularly in relation to diffraction.
  • Ability to manipulate equations involving wavelength and slit width for practical applications.
NEXT STEPS
  • Research the mathematical derivation of the De Broglie wavelength formula.
  • Explore the relationship between slit width and wavelength in diffraction experiments.
  • Learn about angular fringe spacing and its measurement techniques in electron diffraction.
  • Investigate the implications of order of magnitude in scientific notation for physical measurements.
USEFUL FOR

Physics students, researchers in quantum mechanics, and educators looking to deepen their understanding of electron diffraction and wave-particle duality.

desmond iking
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in my textbook , it states that for the diffrraction of electron experiment to be observable, the De Broglie's wavelength of the particles is of the same order as the interatomic spacing... i have a doubt here... what is the meaning of same order here?
 
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"same order" usually means the "order of magnitude" - it basically means that they should have the same power of ten when placed in scientific notation. It can refer to the order of the Taylor series approximation you may learn about later.

In this context it is a bit hand-wavey but serves as a filler until you learn the real theory.
Read: the dB wavelength has to be in the same ballpark as the slit width.

You can actually check this from the usual equation ... write the slitwidth as a function of the wavelength and the angular fringe spacing.
What is the smallest angle that can be comfortably measured - about 1deg? 2-5deg? plug it in and see what you get for the slit width. Compare with the incoming wavelength.
 
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