The datasheet says 12 deg as the half angle, in other words it is a very narrow beam. As you cant see the IR you may simply not be pointing the IR LED at the detector right. ?
It is possible you may have a boroken/damaged one, you could measure that you still have th e1.6V forward voltage drop when passing 20mA through it.
I'm trying to make an infrared emitter-detector circuit using this infrared LED
That is only an emitter what are you using for the detector?
Does the detector use modulated light? All IR remotes use modulated light.
If so then you need to modulate the IR diode at the same frequency as the detector expects.
... in this context means that it can't just be "on". It has to be going on/off/on/off so rapidly that when viewed with an IR sensive webcam or video camera, or digital camera with screen, not optical viewfinder... it seems, to a human to be "just on".
The speed at which it is going on/off/on/off matters too.
Point that TV remote at whatever webcam, etc, you have avialable. If you can see the IR from the remote, you SHOULD see the IR from your LED...
Sorry about that, I thought I'd made it clear in my earlier post. The LED is connected between the 5V pin and ground through a resistor (I've tried a range of values...), and is definitely connected the right way round as this circuit works fine with a normal LED.