Movements of the face that convey emotional meanings are called

Movements of the face that convey emotional meaning are called displays, or affect displays.

They reveal feelings such as joy, anger or surprise through facial expression.

Emblems are gestures that substitute directly for words, not expressions of emotion.

Eye contact is one narrow facial signal, not the general term for emotional facial movement.

Since displays name the concept precisely, the claim that no answer fits does not hold.

Affect displays were classified by Ekman and Friesen among the categories of non-verbal behaviour.