The first generation of stars (population III) comprised almost entirely of hydrogen and helium with trace quantities of Lithium. However no population III stars have yet been observed, but the detection of the most iron poor star known HE0107-5240 ([Fe/H]=–5.3) has sparked a new wave of interest in these stars. If population III stars formed with a mass of less than 0.8 M⊙, they will still be on the main sequence and may be observable within the galaxy. As H2 has no dipole moment, it may seem that such stars would be devoid of molecular absorption lines. However Harris et al., ApJ 600, 1025, (2004), have shown that H+ 3 line opacity can be a significant source of opacity in a hydrogen-helium gas. We are in the process of constructing new model atmospheres and synthetic spectra for population III stars. Here, we present some of our preliminary results which indicate that H+ 3 rotation-vibration lines may be present in the spectra of dwarf population III stars.