So what would happen to the non magnetic atoms if they had too much of external magnetic force directed at them? Whilst they dont repel or attract like magnetic

So what would happen to the non magnetic atoms if they had too much of external magnetic force directed at them? Whilst they dont repel or attract like magnetic atoms, they must be influenced repelled or attracted in some way by a really strong external magnetic force (like this article is suggesting) or would/could it break apart the orbiting electrons?