Carbon catalyst, battery electrode, and battery

A carbon catalyst, comprising:

• two kinds of transition metals;
• and
• a carbon structure having an interplanar spacing d002 of 0.374 nm or more, the interplanar spacing d002 being determined from a Bragg angle of a diffraction peak fbroad which is one of three diffraction peaks fbrothreead, fmiddle, and fnarrow obtained by separating a diffraction peak around a diffraction angle (2θ) of 26° in an X-ray diffraction pattern of the carbon structure by powder X-ray diffraction with a CuKα ray, wherein:
• the diffraction peak fbroad has a diffraction angle (2θ) of 24.0°±4.0°,
• the diffraction peak fmiddle has a diffraction angle (2θ) of 26.2°±0.3°, and
• the diffraction fnarrow peak has a diffraction angle (2θ) of 26.5°±0.5°.