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Old 22-May-2005, 08:54 AM
Sylas Sylas is offline
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Join Date: Mar 2005
Location: Newcastle, Australia
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Quote:
Originally Posted by lyndonashmore
Sylas,
In your fairy tale over the page why did you choose:
Quote:
I'll pick a really generous time. Let's use about the time it would take a photon to get to the next particle in the plasma. This is 3.33e-9 s
What has this got to do with anything?
You spoke earlier, in this post, of how long the absorption interaction would take, but gave no numbers of your own. So I tried to pick a generous number.

The number I picked is the time it takes a photon to move from one particle to another in the plasma. The order of magnitude of distance between particles is a meter or so. Light travels that distance in 3.33e-9 seconds. It's also a nice round magnitude (1/3) for back of the envelope calculations, which is all we really needed. You've been speaking of an interaction between a photon and a particular individual electron, so this time is a sensible upper bound. More than this, and we can't really be talking about a particular electron any more.

Another way to proceed is to think of the cycle time for the photon. For the 500 nm photon we have been considering, the frequency is 600 teraHz, and the cycle time is1.67e-15 seconds. I've allowed enough time for 2 million cycles.

You tell me. It's your absorption reaction. How long do you want to allow for the absorption of an photon by an electron? Is 2000000 cycles not enough?

In other reactions used in real physics, it's nothing like that big, but hey. You gave no numbers and no analysis of your own, and I knew there was plenty of room to spare. So I picked a large time interval, and showed that even this is nowhere near enough to allow for the transfers of energy and momentum required to make up for the fundamental mismatch that has been pointed out lo these many threads.

Cheers -- Sylas