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Having asked recently this, I started to look for good references and notes on Transition State Theory and, also, modern versions of it including things like tunneling (which isn't taken into account in Eyring's equation).

Unfortunately, I haven't been able to find any satisfactory reference. I have downloaded a bunch of lecture notes and gained conceptual understanding of TST, but nowhere do I find a explanation with all the mathematical details.

What could you recommend for a thorough and detailed exposition of the TST?

Also, I would like to find stuff about how the theory has been improved over the years (the theory is mainly classical). I guess there are more accurate quantum mechanical versions of the theory.

Thanks a lot.

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    $\begingroup$ I am unaware, that there has been any development for an improvement of TST over the original publication by Eyring. The many flaws of his equation are being ignored to a certain extent and it still works. A short summary of the critical points can be found at Wikipedia or in this question. I think starting with the original publication is your only chance to understand it from a rigorous point of view. $\endgroup$
    – Martin - マーチン ♦
    Commented May 13, 2016 at 12:02
  • $\begingroup$ @Martin-マーチン If my memory serves me correctly, Eyring refered to the coordinate inaccurately as a fourth translational freedom degree. I am unsure if would be simple to catch his idea without a very solid background. Glasstone's "A Treatise on Physical Chemistry" maybe is more friendly as an starting point. $\endgroup$
    – user1420303
    Commented May 13, 2016 at 18:15

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There are many sources that you can check out, in particular the reviews of Truhlar:

This article was used in my undergraduate course of chemical kinetics, so I think that it could be a good source. Also we used:

Maybe they are a bit outdated, but they are good as start points. The abstract of this newer article make it seems to be useful for you

To deeply understand the theory statistical physics is a must. A good source (that also deals with TST) is the Ralph H. Fowler's book.

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    $\begingroup$ Thank you! That last reference is exactly the type of thing I was looking for. It has the details and it clearly shows, for instance, how the ergodic hypothesis is crucial for TST, which is never clear in the chemistry literature, as far as I've seen. Also Atkin's "Physical chemistry" seems to be great for all of this stuff. $\endgroup$
    – user28429
    Commented May 14, 2016 at 15:26
  • $\begingroup$ Your welcome. You should search for articles on Google Scholar, Scopus or similar sites. ;-) $\endgroup$
    – user1420303
    Commented May 15, 2016 at 15:40