The TCA cycle synthesizes ATP by liberating energy from carbon bonds through electron transfer.

“these these carbon-carbon carbon and hydrogen bonds have this potential that this entire cycle with three names that's so wonderful basically liberates it basically says we're going to take that chemical energy and we're going to liberate it through electron transferring apparati and then at the last second using that i love the turnstile analogy right we're basically going to quickly shunt it right back into a chemical bond which is the p binding to the adp to make the atp”