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340. Thermonuclear fusion: some basic facts about thermonuclear reactions

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When I wrote Ten open problems in physics, the ultimate plan behind the post was that I first list those problems and then discuss every single one of them to some details – just to learn something new and relevant about each of the problems would already be enough fun for me to consider this idea seriously. As I said before, discussing important open problems is a) fun, b) it makes physics interesting and c) it makes it also relevant.

Somehow, the plan got crippled (I am lazy), and so far I was only able to discuss the only problem in the list to some extent – the problem of turbulence. Although I did not finish with turbulence yet, let me switch to something else: problem N 7 in the list – thermonuclear fusion and recall…

Some basic facts about thermonuclear reactions

Thermonuclear reactions are reactions between light atomic nuclei that proceed at very high temperatures, >10^7\div{}10^8 K. Wikipedia has a great article about nuclear fusion, and it would be stupid to reproduce it here, so I’ll try to be as original as possible in the given context :-)

Thermonuclear reactions belong to the class of processes (actually, relatively rare) where nuclei overcome Coulomb repulsion and get close enough in order for weak interactions to cease to be negligible.

Potential energy in nuclei

In practice, the latter means that once the Coulomb interaction gets overcomed, the system basically falls into the deep potential well on the picture above and gets restructured with subsequent (kinetic) energy release.

Weakly bound nuclei get transformed into strongly bound ones. Since nuclei with the largest binding energy per nucleon are located in the middle part of the Mendeleev table, the most typical thermonuclear reactions are fusions of lighter nuclei with production of heavier ones. Such reactions as {}^{11}B+p\to{}3{}^4He+8.7{\rm MeV}  (decay of light nuclei with production of heavier ones) are also possible in Nature, though.

In Nature, the Coulomb barrier gets usually overcomed in two ways (correspondingly, we will classify thermonuclear reactions as A-reactions and B-reactions).

In the first case, the basic idea is to lower the Coulomb barrier in order to overcome it. The potential can be deformed for example due to high pressure (this naturally happens in really dense stars with \rgo\gg{}10^4{\rm g/cm}^3), screening of the Coulomb field of the proton by captured negatively charged muon living on the Bohr orbit (so called muon catalisis) etc. etc. This is what is called cold fusion – since you don’t need to keep kintic energy of the nuclei too high in order to start the fusion.

In the second case, the (undeformed) Coulomb barrier can be overcomed by very high kinetic energy of nuclei (for example, you collide these nuclei on LHC or a much less powerful device) or high temperature (essentially, the same story since temperature is a characteristic kinetic energy of particle in plasma) etc. etc. This is a  non-elegant, unsportsman-like way to start thermonuclear fusion but that’s how it typically happens in stars like our Sun.

Sometimes, it seems that we find reactions which belong to neither type A nor B, like in the effect observed by Fleischmann and Pons in 1989 The work of those two guys is considered pseudoscience nowadays but – who knows… according to Wikipedia

“Triple tracks” in a CR-39 plastic radiation detector claimed as evidence for neutron emission from palladium deuteride, suggestive of a deuterium-tritium reaction. On 22-25 March 2009, the American Chemical Society held a four-day symposium on “New Energy Technology”, in conjunction with the 20th anniversary of the announcement of cold fusion. At the conference, researchers with the U.S. Navy’s Space and Naval Warfare Systems Center (SPAWAR) reported detection of energetic neutrons in a palladium-deuterium co-deposition cell using CR-39, a result previously published in Die Naturwissenschaften.

By the way, if we have an expert here on NEQNET reading my post, can please comment on those experiments?

So, why one should be interested to learn about thermonuclear fusion? There are several reasons: a) as I said above, thermonuclear fusion is the main mechanism of the energy release in stars and Sun in particular, b) it does seem that thermonuclear synthesis is the way of the future for the global economics – it is cheap once we learn how to control it and it should make Greenpeace happy.

Next time I am going to talk about rates of thermonuclear reactions and will try to keep the level of the discussion basic.

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If you liked the post, please kindly consider to leave a comment, subscribe to the RSS feed or get new posts sent directly to your Inbox. If you want to chat with me in real time, you can find me on Twitter. The posts below are probably related to the subject of this one:

379. Thermonuclear fusion: list of posts
364. Thermonuclear reactors. More on inertial confinement
346. Thermonuclear fusion. Nuclear reaction rates – second part
341. Nuclear fusion – energy of the future: video of the day
358. Thermonuclear reactors. Inertial confinement

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9 Comments »

Comment by Jed Rothwell
2009-04-08 00:13:02

Wikipedia is not a valid source of information about cold fusion. I suggest you read peer-reviewed journal papers and papers issued by Los Alamos, the U.S. Navy and BARC instead. See:

http://lenr-canr.org

 
Comment by Arjen Dijksman Subscribed to comments via email
2009-04-09 22:14:39

Hello Dmitry,

The figure shows a nice smooth Coulomb repulsion curve for radius > 20 fm. Is that Coulomb repulsion experimentally verified (for example with slow protons)? So yes, what’s the procedure?

Kind regards,
Arjen

Comment by Dmitry
2009-04-10 16:56:50

Hi Arjen,

Is that Coulomb repulsion experimentally verified (for example with slow protons)?

Oh yes, and at much smaller distances too – like in experiments involving QED precision measurements.

So yes, what?s the procedure?

Sorry, I did not understand your question.

Cheers,
Dmitry.

Comment by Arjen Dijksman Subscribed to comments via email
2009-04-10 18:01:09

I’ve been looking for papers with experiments with slow protons, showing how the Coulomb repulsion behaves increasing the energy. I couldn’t find some. Could you help? Thanks.

Greetings,
Arjen

Comment by Dmitry
2009-04-11 20:02:35

You are probably interested in some really old QM stuff (1930s) – check out the book “The completion of quantum mechanics” by Mehra & Rechenberg, p. 960 and further.

If you want to know more about tests of Coulomb interaction, you’ll have to increase projectile energy, so that particles become relativistic. There are corrections to Coulomb law that come from renormalization (basically effective charge is a slow function of r). This was checked in 1950s-1960s.

Cheers,
Dmitry.

Comment by Arjen Dijksman Subscribed to comments via email
2009-04-12 23:08:44

Thanks for that tip. I also found info in chapter 1 of Introduction to nuclear and particle physics, by Ashok Das.

I’ve been reading lately much early original work in electricty and magnetism pioneering (Franklin, Coulomb, Faraday, Orsted, Ohm, Maxwell, etc.) and watching some Walter Lewin lectures and other demos on web. I was intrigued by the fact that experiments on Coulomb repulsion were always done with negatively charged objects. I’ve not yet found any experiment on Coulomb repulsion with positive charges, older than Rutherford, Geiger and Marsden. So I was wondering if one has ever measured an undistorted Coulomb repulsion between positive charges. If not, it could be of interest to modelize proton-proton repulsion without starting from Coulomb interaction.

Greet,
Arjen

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