http://en.wikipedia.org/wiki/Crookes_radiometer

Crookes radiometer

>From Wikipedia, the free encyclopedia.


The Crookes radiometer was invented by the chemist Sir William Crookes as
the by-product of some chemical research. In the course of very accurate
quantitative chemical work, he was weighing samples in a partially evacuated
chamber to reduce the effect of air currents, and noticed the weighings were
disturbed when sunlight shone on the balance. Investigating this effect, he
devised the device named after him, still manufactured and sold to this day
as a curiosity item.

The radiometer consists of a glass bulb, from which much of the air has been
removed to form a partial vacuum. Inside the bulb, on a low friction
spindle, are several (usually four) lightweight metal vanes. Each vane is
polished on one side, and blackened on the other. In sunlight, or exposed to
a source of infrared radiation (even the heat of a hand nearby can be
enough), the vanes turn with no apparent motive power.

Over the years, there have been many attempts to explain how a Crookes
radiometer works:

1) Crookes incorrectly suggested that the force was due to the pressure of
light. This theory was originally supported by James Clerk Maxwell who had
predicted this force. This explanation is still often seen in leaflets
packaged with the device. The first experiment to disprove this theory was
done by Arthur Schuster in 1876, who observed that there was a force on the
glass bulb of the Crookes radiometer that was in the opposite direction to
the rotation of the vanes. This showed that the force turning the vanes was
generated inside the radiometer. If light pressure was the cause of the
rotation, then the better the vacuum in the bulb, the less air resistance to
movement, and the faster the vanes should spin. In 1901, with a better
vacuum pump, Pyotr Lebedev showed that in fact, the radiometer only works
when there is low pressure gas in the bulb, and the vanes stay motionless in
a `hard' vacuum. Finally, if light pressure were the motive force, the
radiometer would spin in the opposite direction as the photons on the shiny
side being reflected would deposit more momentum than on the black side
where the photons are absorbed.

The actual pressure exerted by light, though it exists, and can be measured
with devices such as the Nichols radiometer, is far too small to move these
vanes.

2) Another incorrect theory was that the heat on the dark side was causing
the material to outgas, which pushed the radiometer around. This was
effectively disproved by both Schuster's and Lebedev's experiments.

3) A partial explanation is that gas molecules hitting the warmer side of
the vane will pick up some of the heat i.e. will bounce off the vane with
increased speed. Giving the molecule this extra boost effectively means that
a minute pressure is exerted on the vane. The imbalance of this effect
between the warmer black side and the cooler silver side means the net
pressure on the vane is equivalent to a push on the black side, and as a
result the vanes spin round with the black side trailing. The problem with
this idea is that the faster moving molecules produce more force, they also
do a better job of stopping other molecules from reaching the vane, so the
force on the vane should be exactly the same -- the greater temperature
causes a decrease in density which results in the same force on both sides.
Years after this explanation was dismissed, Albert Einstein showed that,
because of the temperature difference at the edges, the two pressures do not
cancel out exactly at the edges of the vanes. The force predicted by
Einstein would be enough to move the vanes, but not fast enough.

4) The final piece of the puzzle, thermal transpiration, was theorized by
Osborne Reynolds, but first published by James Clerk Maxwell in the last
paper before his death in 1879. In addition to the temperature differential
at the edges that Einstein considered, there is an additional factor due to
how the gas interacts with the surface. Reynolds original work was on how a
porous plate could be used to pump gas by heating one side and cooling the
other. Reynolds found that the fast moving molecules could more easily move
through a pore in a plate, or more easily move over a surface. Maxwell
showed how this would cause an air current within a Crookes radiometer. On
the black side, the slower moving molecules at the edges get caught in the
microscopic bumps on the surface, while the faster moving molecules in the
center can skip over the bumps. This causes a slight outward air flow, and
creates a lower pressure in the center of the black face. Similarly on the
white face, there is a slight inward air flow and a corresponding higher
pressure.

Both Einstein's and Reynolds' force appear to cause a Crookes radiometer to
rotate, although it still isn't clear which one is stronger.
[edit]


References

*    Loeb, Leonard B. (1934) The Kinetic Theory Of Gases (2nd
Edition);McGraw-Hill Book Company; pp 353-386
*    Kennard, Earle H. (1938) Kinetic Theory of Gases; McGraw-Hill Book
Company; pp 327-337

External links

http://math.ucr.edu/home/baez/physics/General/LightMill/light-mill.html




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