Thanks for all the advice/answers coming back so promptly!
Firstly, no, it is not my first tropical tank, but I've always been 'lucky" with my previous tanks and never had anything as disasterous as this!
The tank is a hexagonal 62L. It was set up 5-6 weeks ago. After 2 weeks I added 10 guppies, and have been adding 2-3 fish on a weekly basis since then. However, I had just bought the last lot of fish (neon tetras) at the weekend, and it was after the new additions that I started losing fish!