As a 400/800 m runner, I found that switching to diaphragmatic breathing helped me immensely. You should note that diaphragmatic breathing is a misnomer. It's actually abdominal breathing. You tighten the abdominal muscles to force air quickly and deeply out of the lungs, then allow the diaphragm to work to gradually pull air into the lungs.
If you're a chest breather, it will take several weeks to learn how to do proper abdominal breathing. Your abdominal muscles/diaphragm aren't strong enough at first. When I first started abdominal breathing, I would practice it for about 20 seconds during my runs and then breathe normally for a while. The second obstacle is that it's difficult to practice abdominal breathing at slow paces because it will cause you to hyperventilate.
I first started abdominal breathing in 2002 after reading John Douillard's book Body Mind Sport. Now, it's part of my race strategy. Whether it's the 400 or the 800, I'll start out with a 1 – 3 pattern... A forceful breath out for 1 to 1 1/2 steps and then slowly breathe in over the next 2 1/2 to 3 steps. Over the last 120 m, I switch to a 1-2 pattern. To me, it feels like a supercharger has kicked in. Unfortunately, even after practicing for years, I still cannot maintain the 1-2 pattern for longer than 120-150m.