A Crystal Diffracts a Beam of Electrons, Like a Diffraction

question 36

Short Answer

A crystal diffracts a beam of electrons, like a diffraction 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:

Singlet

In spectroscopy, a singlet represents a state in which all the electron spins are paired, leading to no magnetic spin multiplicity in the atomic or molecular orbital.

Proton Spin Decoupled

A nuclear magnetic resonance technique where the interaction between hydrogen nuclei and neighboring nuclei is removed to simplify the spectrum.

Triplet

In chemistry, a molecular entity with three similar elements or functional groups in its structure or a magnetic quantum state distinguished by three levels.

Doublet

A pattern observed in NMR spectroscopy, indicating two adjacent hydrogen atoms influencing the resonance of another hydrogen or group.