Methods for preparing rare earth doped monodisperse, hexagonal phase upconverting nanophosphors, the steps of which include:dissolving one or more rare earth precursor compounds and one or more host metal fluoride compounds in a solvent containing a tri-substituted phosphine or a tri-substituted phosphine oxide to form a solution;heating the solution to a temperature above about 250\xb0 C. The method and system may include using a device to capture a sequence of images being displayed and decrypt an encrypted one time password contained in the sequence of images. An oxide layer may be between the silicon nitride layer and the surface of the silicon carbide layer. The present invention also relates to a method of inducing a CD8+ CTL response in an individual comprising administering to the individual a portion of an ATP binding domain of an hsp joined to the molecule. As such, a zooming lens group and a focusing lens group can be inserted into the loop to carry out the zooming and focusing functions. A value for the selected output metric is received from the simulator.