Аннотация:Cryptochrome photoreceptors contain a photochemically generated radical pair, which is thought to mediate sensing of the geomagneticfield direction in many living organisms. To gain insight into the response of the cryptochrome to a weak magnetic field, we have studied thequantum-mechanical hyperfine spin states of the radical pair. We identify quantum states responsible for the precise detection of the magneticfield direction, taking into account the strongly axial hyperfine interactions of each radical in the radical pair. The contribution of these statesto the formation of the cryptochrome signaling state sharply increases when the magnetic field becomes orthogonal to the hyperfine axis ofeither radical. Due to such a response, the radical pair may be able to detect the particular field direction normal to the plane containing thehyperfine axes of the radicals.