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PHYSICS / WAVE OPTICS

Single-Slit Diffraction Minimum Calculator

Calculate an ideal single-slit dark-minimum angle from wavelength, aperture width, and order.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

METHOD / WORKED EXAMPLE

Understand Single-Slit Diffraction Minimum

Calculate an ideal single-slit dark-minimum angle from wavelength, aperture width, and order. Inputs remain visible so the physical model and units can be checked instead of treated as a black box.

WORKED DEFAULT

Check the calculation with the default inputs

For 500 nm light through a 10 µm slit, the first minimum satisfies sin θ = 0.05 and lies near 2.866°.

  1. Read the measured inputsλ, a, m
  2. Apply the physical modelθ_m = asin(mλ/a).
  3. Check domain and unitsA monochromatic plane wave illuminates one uniform slit and the far-field approximation applies.

READ THE RESULT

Interpret the output in context

The angle marks an ideal zero of the single-slit intensity envelope, not the width of a physical mark on a screen.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Order starts at one because the center is a maximum.
  • Slit width and wavelength use the same converted length basis.

A monochromatic plane wave illuminates one uniform slit and the far-field approximation applies.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

COMMON QUESTIONS

Single-Slit Diffraction Minimum Calculator FAQs

Which model does Single-Slit Diffraction Minimum Calculator use?

Convert wavelength and slit width to metres, form mλ/a, and take inverse sine for a feasible positive order. The equation describes minima, whereas a grating equation commonly locates principal maxima. The calculator evaluates only the stated idealized equation and supplied values. It does not infer missing conditions, choose an experimental convention, or certify a measurement. Keep every quantity in the displayed unit and verify the model against the physical setup before relying on the result.

How should I interpret the Single-Slit Diffraction Minimum Calculator result?

The angle marks an ideal zero of the single-slit intensity envelope, not the width of a physical mark on a screen. Screen distance is unnecessary for angle but is needed for an exact linear position. Numerical precision does not imply experimental accuracy. Compare the output with scale, sign, limiting cases, and an independent source, then account for uncertainty in measured inputs and constants before using it in laboratory, engineering, or safety-sensitive work.

What is outside the scope of Single-Slit Diffraction Minimum Calculator?

A monochromatic plane wave illuminates one uniform slit and the far-field approximation applies. It excludes finite coherence, nonuniform illumination, aperture defects, near-field behavior, and detector response. The result is educational and is not a simulation, calibration, engineering approval, or safety determination. More complete models may require geometry, material response, boundary conditions, relativistic frames, dispersion, losses, uncertainty propagation, or numerical field solutions not represented by these inputs.

Use boundary

Calculation path

Convert wavelength and slit width to metres, form mλ/a, and take inverse sine for a feasible positive order. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

θ_m = asin(mλ/a).