Grating Constant Calculator

Formula

The formula to calculate the Grating Constant (d) is:

\[ d = \frac{m \lambda}{\sin(\theta)} \]

Where:

\(d\) is the grating constant (lines/mm)
\(m\) is the diffraction order
\(\lambda\) is the wavelength (nm)
\(\theta\) is the diffraction angle (degrees)

Grating Constant Definition

The grating constant is a measure of the density of lines on a diffraction grating, which is a material used to disperse light into its component wavelengths. It is typically expressed in lines per millimeter. The grating constant is crucial in determining the angles at which different wavelengths will be diffracted by the grating. It is an essential parameter in spectroscopy and other applications involving the analysis of light.

Example Calculation

Let's assume the following values:

Diffraction Order (m) = 1
Wavelength (λ) = 500 nm
Diffraction Angle (θ) = 30 degrees

Using the formula:

\[ d = \frac{1 \times 500}{\sin(30)} = \frac{500}{0.5} = 1000 \text{ nm} \]

Convert to lines/mm:

\[ \text{lines/mm} = \frac{1}{1000 \text{ nm}} = \frac{1}{0.001 \text{ mm}} = 1000 \text{ lines/mm} \]

The Grating Constant (d) is 1000 lines/mm.