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In the paper.density of states,band structure and electron density difference of Zn1-xCdxO are calculated by first principles.here z varies from 0 to 0.75 at intervals of 0.125,and the band gap obtained from band structure changes from 0.968 eV to 0.043 eV.The lattice strain and p-d repulsion theory are used to investigate variation of the band gap,the results obtained show that the variation is mainly due to the lattice tensile strain.The p-d repulsion in Zn1-xCdxO cannot be neglected.In addition,electron density difference can be used to verify the results.