has a half-life of about years; it is the next most stable uranium isotope after 238U and is also predominantly an alpha emitter, decaying to thorium-231. Uranium-235 is important for both nuclear reactors and nuclear weapons, because it is the only uranium isotope existing in nature on Earth in any significant amount that is fissile. This means that it can be split into two or three fragments (fission products) by thermal neutrons. The decay chain of 235U, which is called the actinium series, has 15 members and eventually decays into lead-207. The constant rates of decay in these decay series makes the comparison of the ratios of parent to daughter elements useful in radiometric dating. Uranium-236 has a half-life of years and is not found in significant quantities in nature. The half-life of uranium-236 is too short for it to be primordial, though it has been identified as an extinct progenitor of its alpha decay daughter, thorium-232. Uranium-236 occurs in spent nuclear fuel when neutron capture on 235U does not induce fission, or as a decay product of plutonium-240. Uranium-236 is not fertile, as three more neutron captures are required to produce fissile 239Pu, and is not itself fissile; as such, it is considered long-lived radioactive waste. Uranium-234 is a member of the uranium series and occurs in equilibrium with its progenitor, 238U; it undergoes alpha decay with a half-life of 245,500 years and decays to lead-206 through a series of relatively short-lived isotopes. Uranium-233 undergoes alpha decay with a half-life of 160,000 years and, like 235U, is fissile. It can be bred from thorium-232 via neutron bombardment, usually in a nuclear reactor; this process is known as the thorium fuel cycle. Owing to the fissility of 233U and the greater natural abundance of thorium (three times that of uranium), 233U has been investigated for use as nuclear fuel as a possible alternative to 235U and 239Pu, though is not in widespread use . The decay chain of uranium-233 forms part of the neptunium series and ends at nearly-stable bismuth-209 (half-life ) and stable thallium-205. Uranium-232 is an alpha emitter with a half-life of 68.9 years. This isotope is produced as a byproduct in production of 233U and is considered a nuisance, as it is not fissile and decays through short-lived alpha and gamma emitters such as 208Tl. It is also expected that thorium-232 should be able to undergo double