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There's a name for a thing like that in graphs.
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It's the inflection point.
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It's when the curvature changes from being this way,
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like Hooke's law,
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to being this way.
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So when the inflection points cross, then the chain pops.
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Okay, so force laws are going to make a lot of difference
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in how atoms behave, and if really knew the force law
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we'd be in a great position or understanding chemistry.
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It snaps at the inflection point where it changes
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from a direct to an inverse dependence on distance for force.
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Okay, but what are bonds?