Air capture does take a fair amount of energy.
You may be interested in my recent overview in Science (enclosed).
See also http://www.ucalgary.ca/~keith/AirCapture.html, paper #116 which is a longer overview of the engineering design constraints on air capture systems. We do talk about nuclear and solar driven air capture systems. In the long run, I think if air capture makes sense it will be powered by non-fossil energy.
Peter Read has asserted that biomass with capture is far cheaper than air capture. He may turn out to be right, but I can say that I've worked on both, and I published cost analyses on both that use the same (relatively conservative) methodologies for cost estimation. I don't think there is a clear-cut winner for large-scale implementation, particularly not when you consider the environmental impacts of biofuels.
One paper that compares the two is Frank S. Zeman and David W. Keith (2008). Carbon Neutral Hydrocarbons. Philosophical Transactions of the Royal Society (A), 366: 3901-3918, see #103 on the link above.
Yours,
David
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