Bridgmanite is the most abundant mineral in the Earth's lower mantle. Consequently, it should govern the structure, dynamics, and evolution of the lower mantle. Accordingly, it is important to have the best possible knowledge concerning its chemistry. The major component of bridgmanite is MgSiO 3 . However, it can incorporate Al 3+ , Fe 2+ , and Fe 3+ as secondary elements. Hence, the chemistry of bridgmanite needs to be investigated in the Mg-Fe-Al-Si-O system. Because it too challenging to determine the effect of each individual element on the bridgmanite chemistry when investigating this five-component system, we need to start by investigating bridgmanite in simple systems and then expand to more complex systems. Another essential strategy in our series of investigations is to uniquely control the bridgmanite chemistry via the coexisting phases based on the phase rule. Using these strategies, the phase relations of the MgO-Al 2 O 3 -SiO 2 , MgO-Fe 2 O 3 -SiO 2 , and MgO-FeAlO 3 -SiO 2 systems with specific coexisting phases as a function of pressure and temperature have been investigated in recent studies (