What impact does increasing the band gap of a semiconductor material have on the open-circuit voltage (Voc) of a PV cell, assuming all other factors remain constant?

Increasing the band gap of a semiconductor material directly increases the theoretical maximum open-circuit voltage (Voc) of a PV cell. The band gap is the minimum energy required to excite an electron from the valence band to the conduction band, effectively freeing the electron to contribute to electrical current. Open-circuit voltage (Voc) is the maximum voltage available from a solar cell when no current is flowing. A larger band gap means that the electrons need more energy to jump into the conduction band, and this corresponds to a larger potential difference, or voltage, when no current is being drawn. This relationship is not linear in practical devices due to factors like recombination and surface effects, but the theoretical upper limit of Voc is fundamentally limited by the band gap energy. For instance, a material with a band gap of 1.1 eV (like silicon) has a theoretical Voc limit related to that energy level; a material with a larger band gap, such as 1.7 eV, has a proportionally higher theoretical Voc limit, assuming all other loss mechanisms are equal.