Does the husband's statement to his wife in a state of anger, "If you don't shut up, you'll go to your parents' house," count as a divorce? And what should he do if it is a divorce, and how can he atone for his sin?

The pronouncement of divorce is of two types: explicit and allusive. Explicit is that which admits no other meaning than divorce, and divorce takes effect by it even if the husband did not intend it. As for allusive, such as saying, "If you don't keep quiet, you will go to your parents' house," this is a phrase that could mean divorce or something else, and divorce does not take effect by it unless the husband intended it. If you intended divorce by it, it takes effect upon the fulfillment of the condition; if you did not intend it, nothing takes effect. If your intention was merely to prevent (an action) without intending divorce, divorce does not take effect, but you are liable for an expiation for a broken oath. If you intended to threaten divorce in the future, you may retract it. The matter hinges on your intention at the time of utterance. Using divorce pronouncements for threat is a mistake, as divorce might take effect, and you would regret it.