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Electron Wavelength from Accelerating Voltage Calculator

Find the de Broglie wavelength of an electron accelerated through a given voltage, as used in electron microscopes.

Inputs

Results

Electron de Broglie wavelength0.1226426nm
Electron wavelength122.6426pm

Chart

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How to use the electron wavelength from accelerating voltage calculator

Find the de Broglie wavelength of an electron accelerated through a given voltage, as used in electron microscopes. Enter accelerating voltage in the field above; the electron de broglie wavelength, electron wavelength are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “electron microscope wavelength”, “electron de Broglie”, “electron wavelength from voltage”, “calculate electron wavelength from accelerating voltage”, “find electron de broglie wavelength”.

Formula

Electron de Broglie wavelength (nm) = HPLANCK / √(2 × ME × V × QE) × 1e9
Electron wavelength (pm) = [Electron de Broglie wavelength] × 1000

Variables

  • V — Accelerating voltage (V)

Worked example

With accelerating voltage = 100 V, the calculator gives electron de broglie wavelength ≈ 0.1226426 nm; electron wavelength ≈ 122.6426 pm.

Frequently asked questions

What is the electron wavelength from accelerating voltage calculator used for?

Find the de Broglie wavelength of an electron accelerated through a given voltage, as used in electron microscopes. It helps with questions such as “electron microscope wavelength”, “electron de Broglie”, “electron wavelength from voltage”.

What is the formula for the electron wavelength from accelerating voltage calculation?

Electron de Broglie wavelength (nm) = HPLANCK / √(2 × ME × V × QE) × 1e9. Electron wavelength (pm) = [Electron de Broglie wavelength] × 1000. Here V is accelerating voltage (V).

What inputs do I need for the electron wavelength from accelerating voltage calculator?

You need accelerating voltage in V. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the electron wavelength from accelerating voltage calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the electron wavelength from accelerating voltage result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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