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I don't just mean reactions that require heat to proceed, storing surplus energy in chemical bonds. I wonder about strongly endothermic reactions that suck heat out of environment.

You take some substance A (e.g. Ammonium Nitrate), and some substance B (e.g. water), both at room temperature. You mix them together in a beaker which is room temperature, all performed in room temperature air. As the reaction begins, the two substances binding into substance C, the beaker cools down quite a bit below room temperature.

This is what we observe on macroscopic scale.

I wonder what happens on the microscopic scale - chemical particles, atoms, elementary particles, their energy. Normally entropy would suggest everything would remain in equilibrium but suddenly we have a higher energy concentration within the substance at cost of energy of the environment. It is not easily reversed. What happens that makes particles "want" to bind so much that they specifically "steal energy" from the environment just so that they can react?

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The actual subject you want here is thermodynamic/statistical mechanics/physical chemistry. – dmckee Feb 15 at 18:00
@dmckee: Not really - I don't really want the maths of the averages of real thermodynamics but the micro-scale view of what happens with and within the atoms, how they absorb stray photons, how the electrons skip energy levels etc. – SF. Feb 15 at 18:21
SF, Yeah, really. Those averages tell you about the entropy/free-energy costs of having the system in various macroscopic states. Then you can ask for a microscopic explanation of each term. Why that work? Why that pressure? Why that chemical potential? And so on... But you have to ask about each term for each process. When you ask about photons you introduce a third level of consideration. Quantum processes occur because they are not forbidden and the question is always "At what rate?". – dmckee Feb 15 at 18:34

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