Difference between revisions of "Diffraction Grating"
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− | + | The [[diffraction]] angle depends on the [[wavelength]] of the [[Visible Light|light]] and the [[Grating Spacing|spacing of the slits]] with the relation given by this formula: | |
*<math>𝑑sin𝜃=𝑛𝜆</math> | *<math>𝑑sin𝜃=𝑛𝜆</math> |
Latest revision as of 17:31, 23 May 2024
Key Stage 5
Meaning
A diffraction grating is a plate with many closely ruled parallel slits that disperses white light into a spectrum or produce several diverging beams from a single laser beam.
About Diffraction Gratings
- Diffraction gratings produce multiple diffraction orders for a single monochromatic beam of laser light.
- When white light is incident upon a diffraction grating it will produce a single white band of light in the centre of the screen followed by a series of repeating spectra. As the distance from the centre of the screen increases with violet closest to the centre and red furthest.
- Diffraction Gratings can resolve very fine details in the spectrum, making them useful in spectroscopy.
This image shows a diffraction grating splitting a red laser beam into a zeroth, first, second and third order beam. | |
This image shows a diffraction grating splitting a green laser beam into a zeroth, first, second, third and fourth order beam. | |
This image shows a diffraction grating splitting a green laser beam into a zeroth, first, second, third, fourth and fifth order beam. |
Formula
The diffraction angle depends on the wavelength of the light and the spacing of the slits with the relation given by this formula:
- \(𝑑sin𝜃=𝑛𝜆\)
Where:
𝑑 is the slit spacing (though frequently the number of slits per mm is given and this must be calculated first)
𝜃 is the angle between the beam order and the central axis
𝑛 is the beam order with the zeroth beam order being along the central axis and the first beam order being smallest angle from beam to central axis
𝜆 is the wavelength of the beam