Similar to electron diffraction, neutron diffraction microscope is also used for the determination of the structure of molecules. If the wavelength used here is 800 pm, calculate the characteristic velocity associated with the neutron.
Given:
Mass of electron, m = 1.675× 10-27 kg
Wavelength, λ = 800 pm
According to the de Broglie’s Equation:
λ = h/mv
Where,
λ = wavelength of moving particle
m = mass of electron
v= velocity of particle
h= Planck’s constant [6.62× 10-34]
v = {[6.62× 10-34] / [1.675× 10-27] × [800 × 10-12]}
= {[6.62× 10-34] / [1.34× 10-36]
= 494.4776 m / s
Therefore, the velocity is 494.48 m / s.