Wave Properties of Electrons

[Blake Salfer 1B]

Could someone explain what constructive and destructive interference have to do with diffraction patterns and electrons having wave like properties. I am confused by what the importance is of the two types of interference

[Luc Lorain 1L]

So basically scientists have been able to create models as to why light behaves the way it does when it is diffracting, and they are dependent on light being organized as a wave. You can see diffraction when white light passes through a prism and splits into a rainbow spectrum on the other side, or (with sound waves) when you can hear someone from around a corner.

With constructive interference, the crest of two waves overlap to make a wave with an amplitude equal to the sum of its components. Think of this like having two identical flashlights and shining them on the same spot of ground. Independently, each flashlight illuminates the ground at about the same intensity; however, shining both beams at the same spot simultaneously creates a beam twice as bright as either flashlight alone. The idea that amplitudes combine is unique to the classical wave model of light, since intensity in the photon model is conveyed by simply having more photons in one spot at once.

With destructive interference, the crest of one wave cancels out the trough of another, essentially subtracting the amplitude of one wave from another. This can be found in radio static: when there are two competing radio frequencies that are close enough in wavelength they may combine to leave a wave with a lower intensity-- which we perceive as "fuzzy" music or complete static.

Electrons can be similarly diffracted, meaning that it can possess similar wavelike properties in addition to the traditional idea of them existing as a particle of sorts.

[Alli Hinmon 3E]

Constructive interference is when the "peaks" and "troughs" line up constructively and the amplitude is enhanced (taller height). Destructive Interference is when the "peaks" coincide with the "troughs" of anther wave, here the amplitude is diminished.
We know that a long amplitude will have a low frequency and a short amplitude will have a high frequency of electromagnetic radiation.
Both Constructive and Destructive Interference are apart of Diffraction. This is the pattern of high and low intensities generated by an object in the path of a ray of light.
Hope these definitions help!