The world of the nanoscale is exciting because it is governed by rules different from those we know in the macroscopic, or even microscopic, realm. It is a world where quantum mechanics dominates the scene and events occuring at the scale of a single molecule, or even a single atom, are critical. What we know about the behavior of material on our scale is no longer true on the nanometer scale. In order to study this quantum world, a quantum-mechanical probe is essential. Electron tunneling provides that quantum mechanical tool.In the Newtonian world, a particle can never be in a region where its potential energy is greater than its total energy. To do so would require a negative kinetic energy-a clear impossibility since mv 2 ͞2 ≥ 0. As the scale shrinks to molecular dimensions, of the order of one nanometer, classical concepts fail and quantum mechanics takes over. Thus, it is possible for a particle to move from one classically allowed region to another through a very small region where its potential energy is greater than its total energy-this is the phenomenon of tunneling. While it can occur for relatively heavy particles such as protons, it is far more common for electrons. Electron tunneling is a particularly useful probe because it is easy to control the flow and energy of electrons and to set up precisely controlled regions through which the electron must tunnel. An early example of an electron-tunneling device was the metal-insulator-metal (M-I-M) tun-nel diode, as shown in Figure 1 (1-5). 1 Also shown in Figure 1 are the equivalent features of a scanning tunneling microscope (STM) (6-9). Both devices rely on exactly the same physics. Within the conductors (metal electrodes in the M-I-M´ case, substrate and atomically sharp tip in the STM case) the electrons are in classically allowed regions I and IIItheir total energy E is greater than their potential energy. In the gap between conductors (the insulator in the M-I-Mć ase, the vacuum or solvent gap in the STM case) however, there is a potential region, region II, where they are classically forbidden but quantum mechanically allowed. A simple quantum mechanical calculation quickly demonstrates that the probability of transmission through the barrier decreases exponentially with the thickness of the barrier and the square root of the height relative to the electron energy. If distance, d, is measured in Angstroms (0.1 nm) and energies (E and U ) are measured in electron volts, then the constant A in Figure 1 is approximately one (5-6).We note that STM has been thoroughly discussed and reviewed (6-8), including in the pages of this Journal (7). Thus, we will assume that the reader is reasonably familiar with the basic aspects of STM imaging. Specific examples of STM-based spectroscopy will be drawn from porphyrins and phthalocyanines on Au(111). These metal-organic systems share the characteristics of good chemical and thermal stability and a rich spectrum of both filled and empty states. Figure 1. Schematic drawings of (A) a tunnel diode, (B) STM, and (...