The theory of the feedback mode of scanning electrochemical microscopy is extended for probing heterogeneous electron transfer at an unbiased conductor. A steady-state SECM diffusion problem with a pair of disk ultramicroelectrodes as a tip and a substrate is solved numerically. The potential of the unbiased substrate is such that the net current flow across the substrate/solution interface is zero. For a reversible substrate reaction, the potential and the corresponding tip current depend on SECM geometries with respective to the tip radius including not only the tip-substrate distance and the substrate radius but also the thickness of the insulating sheath surrounding the tip. A larger feedback current is obtained using a probe with a thinner insulating sheath, enabling identification of a smaller unbiased substrate with a radius that is approximately as small as the tip radius. An intrinsically slow reaction at an unbiased substrate as driven by a SECM probe can be quasireversible. The standard rate constant of the substrate reaction can be determined from the feedback tip current when the SECM geometries are known. The numerical simulations are extended to an SECM line scan above an unbiased substrate to demonstrate a "dip" in the steady-state tip current above the substrate center. The theoretical predictions are confirmed experimentally for reversible and quasi-reversible reactions at an unbiased disk substrate using disk probes with different tip radii and outer radii.Scanning electrochemical microscopy (SECM) is a powerful electroanalytical technique for probing interfacial reactions at a variety of substrates. 1-3 SECM is versatile partially because the substrates do not require an electrical connection to an external circuit, 4 which is in contrast to traditional electroanalytical techniques. 5 SECM measurement of unbiased substrates is advantageous when the substrates can not be conveniently connected to an external circuit or when the application of a potential causes an undesirable effect on the substrates. In particular, SECM feedback mode has been used in recent studies of charge transport at unbiased nanostructured systems such as metal nanoparticle arrays/films, 6-13 carbon nanotube network, 14 individual nanobands, 15 an array of protein nanopores, 16 and nanometer-thick polymer films. 17-20 A heterogeneous electron transfer process at an unbiased conductor can be studied by SECM in the feedback mode, where the process is driven and monitored using an ultramicroelectrode (UME) probe. Consider a disk UME positioned within a short distance (usually within about the tip diameter) of a disk-shaped conductive substrate (Figure 1). The UME tip is biased for electrolysis of a redox-active mediator, O, in the electrolyte solution (O + ne − → R; process 1 in Figure 1). The tip-generated species, R, diffuses to and reacts at the surface of the conductive