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Modern Physics

Electron Wavelength (Accelerated)

λ=h2meeV\lambda = \frac{h}{\sqrt{2m_e eV}}

Wavelength of an electron accelerated through potential V. Used in electron microscopy and diffraction experiments.

Variables

\lambda
de Broglie wavelength
m
h
Planck constant
J·s
m_e
Electron mass
kg
e
Electron charge
C
V
Accelerating voltage
V

Derivation

Combining kinetic energy eV = p²/2m with de Broglie relation λ = h/p.

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Common questions

What is the Electron Wavelength (Accelerated) formula?

Electron Wavelength (Accelerated) is written λ= frac{h}{√(2mₑ eV)}. Wavelength of an electron accelerated through potential V. Used in electron microscopy and diffraction experiments. It belongs to Modern Physics, under Quantum Mechanics.

What are the units in λ= frac{h}{√(2mₑ eV)}?

In SI units, \lambda is de broglie wavelength, measured in m; h is planck constant, measured in J·s; m_e is electron mass, measured in kg; e is electron charge, measured in C; V is accelerating voltage, measured in V.

How is the Electron Wavelength (Accelerated) formula derived?

Combining kinetic energy eV = p²/2m with de Broglie relation λ = h/p. The result is λ= frac{h}{√(2mₑ eV)}.