But I thought the LED voltage corresponded to the energy level of the
photons... don't have the equation handy but can look it up. Hence my
question about whether the internal resistance is higher now. Maybe it is.
Voltage drop across the LED is often but not always close to that of the
"electron volts" of the emitted photons.
One thing that can happen is that when an electron "drops" from the
conduction band back to the valence band, it may have an intermediate stop
on the way down, causing the descent to have more than one step - one of
which radiates a photon that has less energy than that required to push an
electron from the valence band to the conduction band.
I suspect this is what happens in InGaN green LEDs, with voltage drop
well above the "electron volts" of their emitted photons even at 10% of
the current they were designed for.
Another thing that can happen is that factors besides bandgap energy
affect the wavelength of the emitted light. For example, the chip may
have layers of such thickness that have interference effects that
reinforce a particular wavelength. Of course, efficiency may be reduced
if this is a wavelength other than that at which the chip would otherwise
emit, especially if the wavelength has photon energy greater than the
bandgap energy.
Still another thing that could happen is that an electron has more than
one mode of descending from the conduction band to the valence band - a
radiating mode and a non-radiating one.
If the radiating one has average photon energy greater than the bandgap
energy, what happens is that most photons take the non-radiating path.
Thermal agitation gives a few electrons the above-average energy needed to
take the radiating route, but thermal agitation is actually detremental as
a net by causing what I believe is "thermal quenching" - kicking electrons
onto the non-radiating route. At lower temperature, fewer electrons take
the non-radiating route, and the voltage drop is higher.
Example: GaP and InGaP green LEDs. A really efficient one with
wavelength in the upper 560's or around 570 nm - the usual "chartreuse"
color - is about 1.5-2% efficient. The "pure green" varieties of these
chemistries (wavelength around 550-555 nm, still "lime green" as in less
yellowish but still yellowish) are much less efficient - and have average
photon energy around 2.25 eV and voltage drop maybe usually 2.1 V.
- Don Klipstein (don@misty.com)