I've been reading Jim Pivarski's blog
Coffeeshop Physics for some time, and I always find the topics interesting and the perspective refreshing. However, I think that his latest post "
Viruses have no color" contains a number of fundamental errors, beyond the imprecisions inherent in a simplified account.
Pivarski's stated point is that objects smaller than the wavelength of light have no color, and he explains this by the uncertainty principle. Instead, he illustrates that small objects scatter less light than large ones, using a "geometrical" point of view that ignores the composition of the objects and sees them simply as opaque to the incoming light. Of course, in this approximation even large objects are colorless, since their scattering properties will not change much over the visible spectrum
1.
The relevant parameter when discussing the color of an object is not the wavelength but the
frequency of the incoming light. For instance, gold nanoparticles a few tens of nanometers in diameter both absorb and scatter green light more effectively than at other visible frequencies because in this range the electromagnetic field couples very effectively with the oscillation modes (plasmons) of the conduction electrons in the particle. Dispersions of such particles are therefore green when seen in reflection and red in transmission, as illustrated by the
Lycurgus cup. Even atoms can be said to "have color" if we think of their characteristic transition lines (for instance, sodium lamps glow yellow).
The uncertainty principle
2 only tells us that the image of the nanoparticles cannot be sharper than the wavelength used to look at them, not that this image is colorless (see such colored images
here and
here).
1. I neglect here the λ4 dependence in Thompson scattering, leading to the "blue-sky effect".↩ 2. I preserve here the author's terminology, although "the uncertainty principle" is generally associated with quantum mechanics. Here the reasoning is completely classical, so we might as well call the result "the Abbe resolution limit".↩