Is it certain that crystals will precipitate from saturated solution? What is the relationship between the quality of precipitated crystals and solubility?

Is it certain that crystals will precipitate from saturated solution? What is the relationship between the quality of precipitated crystals and solubility?

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Why can crystals be precipitated by cooling the hot saturated solution? This question seems like an idiot. I'm going to clear up all my doubts! Only heat saturated solution can precipitate crystals? If the unsaturated solution is cooled, will it also precipitate crystals? My idea is to cool the unsaturated solution, make it a saturated solution, and then cool it down to form crystals. Also, evaporative crystallization is not suitable for both saturated and unsaturated solutions.

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