eng Science and Education Publishing International Journal of Physics 2333-4576 2023-12-01 11 6 283 290 10.12691/ijp-11-6-2 IJP20231162 article Zhonglin BO bill.b.bo@dupont.com 1 DuPont China Technical Center, 600 Cailun Road, Shanghai 201203, P.R. China A thorough mathematic analysis was conducted to the negative energy solutions to the Dirac equation in a complex plane due to the fact that the solutions are vectors of complex number. An opposite vector with negative energy state was identified when a vector with positive energy state was defined in a complex plane. We concluded that any opposite vectors in a complex plane must have opposite energy state because their vector heads move always in opposite direction. We configured an electron as a small ball with dimetric vectors instead of a structureless mass point. Based on the new electron configuration, we explained the particle wave duality as the feature of electron¡¯s spinvector in motion, explained the reason for the electrons with half spin quantum number. And we concluded that de Broglie¡¯s standing waves theory would be more rational than the interpretation by current quantum theory. https://pubs.sciepub.com/ijp/11/6/2/ijp-11-6-2.pdf Dirac Equation Negative Energy Solution Bi-spinor Antimatter Spin Diametric Vectors Spinvector Electron Configuration