That is a whoopee!

Scientists Create a Material That Captures CO2 And Turns It Into Organic Matter

Those ions are able to selectively capture CO2 molecules with 10 times greater efficiency than other PCPs, the scientists say. What's more, the material is reusable, and was still running at maximum efficiency after 10 reaction cycles.
"We have successfully designed a porous material which has a high affinity towards CO2 molecules and can quickly and effectively convert it into useful organic materials," says materials chemist Ken-ichi Otake, from Kyoto University in Japan.
The idea of carbon sequestration has been around for some time, but the low reactivity of carbon dioxide means it's difficult to capture and lock away without using a lot of energy along the way – which kind of defeats the point.
PCPs (also known as metal-organic frameworks or MOFs) might hold the key to overcoming this obstacle. The one outlined in this new study uses a clever trick: an organic component with a propeller-like structure.

Using X-ray structural analysis, the researchers found that as CO2 molecules approach the PCP, its molecular structure rotates and rearranges, allowing the carbon dioxide to be trapped in the material.

Add a little solar energy in place to boost it. If it scales, our atmospheric liquid fuel efficiency gets up to 10%, competitive with solar from a few years ago.   But is captures the largest cost of storage, up front. A side effect of liquid fuels, but also the largest cost of conversion.  Once it is captured, a slower, more adiabatic method can be used for complete conversion, upstream efficiency gain.

My key take away.  If we can lower that initial upfront cost, concentrate extracted CO2 long enough to expand choices upstream, then we have a better comparison. We can get a fair estimate of that upfront cost, then compare more fairly the back end costs. The cost of lithium storage, vs centralized refineries. pipeline vs electric delivery. Velocity equation works because we have a measure on the largest stumbling block, a bound on largest costs. Things like, acres per CO2 equivalent, as a measure of national lung capacity are much more accurate. We know where to throw our research dollars, build a pilot plant.

Collect it at the tail pipe?

If it is a fast reaction, use the PCP as a disposable catalytic converter. So, you have this simple methanol combustive engine, fixed speed. Runs in your car whenever the capacitive storage needs a boost. Collect a bunch of the CO2 in the converter. You replace the converter and fill the alcohol tank. If the converter where a liquid then it would be a flush and fill. Mix in the CO2 and cool into a pressure tank. You waste tank much larger than your fuel tank, but still weight less than equivalent battery. But you carry around a combustion motor generator, and get great electro drive without lithium.

Li + H2O = LiOH + H -> H2

Make the reaction above reversible and get hydrogen storage. You go to hydrogen station and infuse you lithium, much faster than charging lithium ion. But much more dangerous. Dealing with pure hydrogen is a nightmare, which is why god made carbon.
But it is not lithium,

Metal–organic framework

It is Zinc and a few other.