Its the projection.. If you could see the light emitted, the angle is critical.... Most LED's, not just IR ones, have a quirky angle of radiation.
Half angle will be the degree from the max point... So a 5 degree half angle will be a 10 degree angled LED... IMHO....
If the device has a 10 degree angle.. then if misaligned by half this, the thing will not work..
I use 15 degree red LED's in my Obstruction lights... 7.5 degrees above or 7.5 degrees below, you don't notice it..