A Crystal Diffracts a Beam of Electrons,like a Grating,as They

question 27

Short Answer

A crystal diffracts a beam of electrons,like a grating,as they hit it perpendicular to its surface.The crystal spacing is 0.18 nm,and the first maximum scattering occurs at 80° relative to the normal to the surface.(e = 1.60 × 10^-19 C,m_electron = 9.11 × 10^-13 kg,h = 6.626 × 10^-34 J ∙ s)
(a)What is the wavelength of the electrons?
(b)What potential difference accelerated the electrons if they started from rest?

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Definitions:

Density Function

A mathematical function that describes the probability distribution of a continuous random variable, indicating the likelihood of a variable taking on a particular value.

Exponential Distribution

A probability distribution used to model the time between events in a process where events occur continuously and independently at a constant rate.

Parameter

A measurable feature or characteristic that helps to define or classify a system, often a constant in mathematical models and statistical analyses.

Exponentially Distributed

A statistical term used to describe the time between events in a Poisson point process, where events occur continuously and independently at a constant average rate.