Calm verb - To free from distress or disturbance.
Usage example: the president's reassuring words did much to calm the public during the national emergency
Mollify is a synonym for calm in soothe topic. In some cases you can use "Mollify" instead a verb "Calm", when it comes to topics like quiet, assuage, placate, pacify.
Mollify verb - To lessen the anger or agitation of.
Usage example: an apology would probably mollify your friend
Calm is a synonym for mollify in pacify topic. You can use "Calm" instead a verb "Mollify", if it concerns topics such as activity, soothe, appease.
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Google Ngram Viewer shows how "calm" and "mollify" have occurred on timeline