Abstract: We construct a one-dimensional trapezoid potential barrier model with potential application in super -lattice physics, and obtain the transmission coefficient for the tunneling of particles analytically. By using the low energy approximation and small slope approximation, we get the asymptotic behavior of the transmission coefficient, which can be treated as the correction for square potential barrier model. Besides, unlike the square model, the peak values of the trapezoid barrier are not necessary to be the resonance tunneling. The incoming energy of the particles at peak satisfies the rule that it is the sum of the height of the potential barrier and the corresponding energy level for particles confined into trapezoid potential well approximately.

Key words: trapezoid potential barrier, transmission coefficient, resonance tunneling