In this study, we compare density 0f states' diagrams from LaGaO3, LaGa_0.75Mg_0.25O₃,La_0.75Sr_0.25GaO₃ and La0_.75Sr_0.25Ga_0.75Mg_0.25O₃. With this comparison, we saw that the conduction of LG by adding Sr & Mg was increased. We realized that there are 3 bands of electrons in all this materials.And they all have 2 band gaps. The first one is between core & valence bands and the second is between valence & conduction bands. If doped the gaps are changed & the the valence bands are moved to the Fermi energy then the conductivity will be increased. In other cases the gaps width are the same and therefore the DOS of conduction bands would be important for comparison of their conductivities.We know that these provskite type of materials are ionic conductors. In this study we plot their electrons' states for the total energy. These plots show that the higher density of states increases the conductivity, which means that these electrons are useful for making ions & holes. And notice the diagrams show that LGM, LSG, LSGM & LG have higher conductivity, respectively. Kuan-Zong Fung have measured it experimentally. And these properties will be beneficail for solid oxide fuel cell's electrolyte; because not only they are better conductor but also making them, will be cheaper; because Ga₂O₃ is more expensive than MgO & SrO. We know from 496 to 729 Centigrades (intermediate temperature) this order is true but in higher temperature it means from 729 to 973 degree centigrade(high temperature) it will be different. Because the conductivity equation is liner (Ln∂T≈1/T), so we guess this order will be true from zero to 729 Centigrades. Then these diagrams are for the interval between zero and 729 Centigrades.

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