Consider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height V0 with E> V0. The electrons are traveling in the x direction and they are originated from x = -00. i. Find the transmission coefficient between regions I and |I. ii. Find the reflection coefficient between regions I and II. iii. Assume the electron velocity is 7.5x10^5 cm/s, E = V0/0.15 Find the probability that there is an electron at the distance "a = 50" A° after the barrier. iv. Determine the de Broglie wavelength in A? * Please use Schrodinger theory V(x) Incident particles Vo Region I Region II X = 0 Figure 2. The step potential function

Consider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height V0 with E> V0. The electrons are traveling in the x direction and they are originated from x = -00. i. Find the transmission coefficient between regions I and |I. ii. Find the reflection coefficient between regions I and II. iii. Assume the electron velocity is 7.5x10^5 cm/s, E = V0/0.15 Find the probability that there is an electron at the distance "a = 50" A° after the barrier. iv. Determine the de Broglie wavelength in A? * Please use Schrodinger theory V(x) Incident particles Vo Region I Region II X = 0 Figure 2. The step potential function