Sealing a lot of air in ice, or liquifying it
If there was a source of extreme cold on the surface of the Earth, how cold would it have to be for it to start depleting the air in the atmosphere? Or to liquify the nitrogen and oxygen? Let's assume that the ice formed is (magically) as cold as the source; would that make it possible for the ice to spread its effect at an exponential rate?
Or maybe it would be better to establish the end result I'm looking for instead of assuming some way of getting there. The ice doesn't have to cover a large area of the world, but the end result should be a worldwide extinction event. I'm hoping to achieve this either by the temperature on Earth being well below freezing on average, or by any number of things caused by a thinning of the atmosphere. In regard to the latter, the effect can be achieved over many years; it doesn't have to be immediate.
Or maybe it would be better to establish the end result I'm looking for instead of assuming some way of getting there. The ice doesn't have to cover a large area of the world, but the end result should be a worldwide extinction event. I'm hoping to achieve this either by the temperature on Earth being well below freezing on average, or by any number of things caused by a thinning of the atmosphere. In regard to the latter, the effect can be achieved over many years; it doesn't have to be immediate.