There are multiple definitions - click on the translation that matches your context.
emigration means:
Substantiv
partial
noun
The German term literally means "away move". In the context of a move away from one's country of residence to another country for a potentially permanent period of time, the better English translation would be "emigration".
the act or process of leaving a country to go and live permanently in another country
She grew up in rural Ireland before her emigration to America where she began her career as a nurse in New York.