Page 69 - Science at the nanoscale

ch03
RPS: PSP0007 - Science-at-Nanoscale
June 9, 2009
9:2
3.4. Spin
59
(i) The energy of the system is quantised.
(ii) The energy difference between one energy level and
the next higher energy level decreases with increas-
ing quantum number n.
(iii) The electron is in a confining potential.
(iv) The emission spectra of the hydrogen atom are all in
the visible light region.
(v) The properties of the electron are described by a
probability wave function.
3.6 An electron with energy of 4.50 eV incident upon a
potential barrier of 5.00 eV and thickness L = 950 pm.
Calculate the probability that the electron will quantum-
mechanically tunnel through the barrier.