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New trends in physics teaching, v.4; The ... - unesdoc - Unesco

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<strong>New</strong> Trends <strong>in</strong> Physics Teach<strong>in</strong>g IV<br />

In much the same way as a half wave antenna provides the best length to absorb and reradiate,<br />

or scatter, radio waves, the best size for titanium dioxide particles is a half wavelength of light.<br />

Figure 22 shows a plot of scatter<strong>in</strong>g versus wavelengths for different particle sizes. Very small<br />

and very large particles do not scatter well. Suppose we mix a grey dye with our white scatterer,<br />

as shown <strong>in</strong> figure 23. <strong>The</strong> grey absorbs equally throughout the spectrum. If the white pigment<br />

scatters more <strong>in</strong> the red than the blue, the red light wil not penetrate very deeply <strong>in</strong>to the pa<strong>in</strong>t<br />

before it is scattered back out. On the other hand, blue light will penetrate more deeply before<br />

it is backscattered, and <strong>in</strong> do<strong>in</strong>g so wil be absorbed. Hence, the effect of mix<strong>in</strong>g the white<br />

pigment and the grey dye wil be to produce a red pa<strong>in</strong>t, a quite unexpected result.<br />

Blue<br />

Red<br />

t<br />

100per cent<br />

Reflected<br />

100per cent<br />

White Pigment<br />

with no absorption<br />

Blue<br />

Deep Penetration<br />

1 leads to absorption<br />

Red<br />

very little<br />

absorbed<br />

White Pigment<br />

I'<br />

J<br />

Figure 23. Scatter<strong>in</strong>g by a white pigment, undyed, and with a grey dye.<br />

216

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