IF() syntax

Hi,
I want to perform a function only if a condition is true. If the condition is not met then i want the cell to be empty / null.

I've tried something simple like this

=IF(0>1;1)

This condition will obviously never be met, but rather than leave the cell blank it puts 'FALSE' into the cell.

How can I make it completely empty (ie NULL).

Thanks for any help.