OpenWorldLab

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Rays and beams

Scattering and fluorescence

A beam in clear water is invisible from the side. Add a drop of milk and the fat globules scatter some light sideways, more for blue than for red. A dye absorbs the beam and glows at a longer wavelength: fluorescence.

What you are looking at

The green beam scatters in the milky cell and is absorbed in the rhodamine cell, which glows yellow-orange. A spectrometer beside the dye cell sees both the scattered green and the fluorescence.

How the bench is set up

A 532 nm laser, a 100 mm cell of water with milk, a 100 mm cell of rhodamine 6G and a spectrometer looking at the dye from the side.

The theory

Particles much smaller than the wavelength scatter with a coefficient proportional to λ−4\lambda^{-4}. A dye absorbs by the Beer–Lambert law,

P(z)=P0 10−εcz,P(z) = P_0\,10^{-\varepsilon c z},

and re-emits a fraction (its quantum yield) at a longer wavelength: the Stokes shift.

What to measure

Scattering strength against λ⁻⁴; Stokes-shifted emission

  1. Read the spectrometer: a line at 532 nm and a band near 566 nm.
  2. Change the laser to 633 nm: the dye barely absorbs, and the glow disappears.

What the model leaves out

  • Scattering and fluorescence are sent out along a few directions rather than every direction.

Things to try

  • Use a blue laser at 450 nm with the milk cell and see it scatter more strongly.

References

  • E. Hecht (2017), Optics, 5th edition, Pearson.
  • G. G. Stokes (1852), On the change of refrangibility of light, Philosophical Transactions 142, 463.

More experiments, and how the lab works, are in the laser lab’s overview.