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The evolution of the theory is not only of historical interest. Reliable and accurate computation of reaction rates remains a challenge to this very day, especially in view of the development of quantum chemistry methods, which predict the relevant force fields. It is still not possible to compute the numerically exact rate on the fly when the system has more than at most a few dozen anharmonic degrees of freedom, so one must consider various approximate methods, not only from the practical point of view of constructing numerical algorithms but also on conceptual and formal levels. In this Perspective, I present some of the recent analytical results concerning leading order terms in an \u210f2m series expansion of the exact rate and their implications on various approximate theories. A second aspect has to do with the crossover temperature between tunneling and thermal activation. Using a uniform semiclassical transmission probability rather than the \u201cprimitive\u201d semiclassical theory leads to the conclusion that there is no divergence problem associated with a \u201ccrossover temperature.\u201d If one defines a semiclassical crossover temperature as the point at which the tunneling energy of the instanton equals the barrier height, then it is a factor of two higher than its previous estimate based on the \u201cprimitive\u201d semiclassical approximation. In the low temperature tunneling regime, the uniform semiclassical theory as well as the \u201cprimitive\u201d semiclassical theory were based on the classical Euclidean action of a periodic orbit on the inverted potential. The uniform semiclassical theory wrongly predicts that the \u201chalf-point,\u201d which is the energy at which the transmission probability equals 1\/2, for any barrier potential, is always the barrier energy. We describe here how augmenting the Euclidean action with constant terms of order \u210f2 can significantly improve the accuracy of the semiclassical theory and correct this deficiency. This also leads to a deep connection with and improvement of vibrational perturbation theory. The uniform semiclassical theory also enables an extension of the quantum version of Kramers\u2019 turnover theory to temperatures below the \u201ccrossover temperature.\u201d The implications of these recent advances on various approximate methods used to date are discussed at length, leading to the conclusion that reaction rate theory will continue to challenge us both on conceptual and practical levels for years to come.<\/jats:p>","DOI":"10.1063\/5.0199557","type":"journal-article","created":{"date-parts":[[2024,4,19]],"date-time":"2024-04-19T09:57:06Z","timestamp":1713520626000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":16,"title":["A personal perspective of the present status and future challenges facing thermal reaction rate theory"],"prefix":"10.1063","volume":"160","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5947-4935","authenticated-orcid":false,"given":"Eli","family":"Pollak","sequence":"first","affiliation":[{"name":"Chemical and Biological Physics Department, Weizmann Institute of Science , 76100 Rehovoth, Israel"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2024,4,19]]},"reference":[{"key":"2024041909565925300_c1","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1515\/zpch-1889-0416","volume":"4U","year":"1889","journal-title":"Z. 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