Pathokinesis

Pathokinesis is the ability to manipulate emotions, feelings, and moods either by increasing or decreasing the amount of a particular emotion that another individual feels.

Jasper Hale (Twilight)
Because he was charismatic as a human, Jasper can sense and change the emotions of others as a vampire, though he must be careful not to constantly manipulate those around him so as not to create a false reality of others simply feeling what he wants them to feel. His gift is one of few that can affect Bella without getting blocked by her mental shield because his power can actually influence people's feeligns rather than create an illusion. Jasper also becomes very connected to Bella because of her constantly joyful mood as a vampire.

He mainly uses his gift to calm people down who have been angered in order to end a situation peacefully. During his years with Maria and her coven, his power allowed him to control the newborn vampire soldiers better, which is what made him Maria's favorite. He could constantly sense the pain of those he killed, either for position or sustenance. This experience made him emotionally damaged as he found killing the other way for survival until he met Alice and started the process of satisfying his thirst with animal blood.

Although his power is useful, the mood he inflicts only lasts for as long as his targets are within his range.