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X-ray Tube Cutoff Wavelength Calculator

Find the shortest wavelength of X-rays produced by an X-ray tube at a given voltage.

Inputs

Results

Shortest X-ray wavelength41.32807pm
Shortest wavelength0.04132807nm

Chart

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Describe what you want to find — “X-ray tube minimum wavelength” — and jump to the right calculator.

How to use the x-ray tube cutoff wavelength calculator

Find the shortest wavelength of X-rays produced by an X-ray tube at a given voltage. Enter tube voltage in the field above; the shortest x-ray wavelength, shortest wavelength are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “X-ray tube minimum wavelength”, “Duane Hunt limit”, “shortest X-ray wavelength”, “calculate x-ray tube cutoff wavelength”, “find shortest x-ray wavelength”.

Formula

Shortest X-ray wavelength (pm) = HPLANCK × CLIGHT / (QE × kV × 1000) × 1e12
Shortest wavelength (nm) = [Shortest X-ray wavelength] / 1000

Variables

  • kV — Tube voltage (kV)

Worked example

With tube voltage = 30 kV, the calculator gives shortest x-ray wavelength ≈ 41.32807 pm; shortest wavelength ≈ 0.04132807 nm.

Frequently asked questions

What is the x-ray tube cutoff wavelength calculator used for?

Find the shortest wavelength of X-rays produced by an X-ray tube at a given voltage. It helps with questions such as “X-ray tube minimum wavelength”, “Duane Hunt limit”, “shortest X-ray wavelength”.

What is the formula for the x-ray tube cutoff wavelength calculation?

Shortest X-ray wavelength (pm) = HPLANCK × CLIGHT / (QE × kV × 1000) × 1e12. Shortest wavelength (nm) = [Shortest X-ray wavelength] / 1000. Here kV is tube voltage (kV).

What inputs do I need for the x-ray tube cutoff wavelength calculator?

You need tube voltage in kV. 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 x-ray tube cutoff wavelength 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 x-ray tube cutoff wavelength 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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