It's often used to describe someone who has a lot of passion and excitement for something, or who performs something with a lot of energy and style.
For example, you might say:
* "She danced with such elan that everyone was mesmerized."
* "He approached the challenge with elan and determination."
* "The team had a new sense of elan after their victory."
Elan is a powerful word that evokes a sense of dynamism and passion.