Downconversion is a promising avenue to boost the efficiency of solar cells by absorbing one higher energy visible photon and emitting two lower energy near-infrared ͑NIR͒ photons. Here the efficiency of downconversion for the ͑Er 3+ ,Yb 3+ ͒ couple is investigated in NaYF 4 , a well-known host lattice for efficient upconversion with ͑Er 3+ ,Yb 3+ ͒. Analysis of the excitation and emission spectra for NaYF 4 doped with 1% Er 3+ and codoped with 0%, 5%, 10%, or 30% Yb 3+ show that visible to NIR downconversion is inefficient. Downconversion by the scheme based on the reverse of the upconversion process is hampered by fast multiphonon relaxation from the 4 F 7/2 level ͑the starting level for downconversion͒ to the 4 S 3/2 level. Energy transfer from the 4 S 3/2 level of Er 3+ to Yb 3+ is shown to be inefficient. Efficient downconversion from the 4 G 11/2 of Er 3+ level is observed, resulting in emission of two photons ͑one around 980 nm and one around 650 nm͒ after absorption of a single 380 nm photon.