Electrochemically generated magnetic forces at a disk-shaped ultramicroelectrode have been
investigated in large, nonuniform magnetic fields. Two sources of magnetic force are simultaneously operative
in the electrochemical experiment, both having a significant influence on molecular transport of the
electrochemical reactants and products. First, the magnetohydrodynamic (MHD) force, F
MHD, described by
the Lorentz equation, arises from the diffusion
of
electrogenerated
ions in the magnetic field. The magnitude
of F
MHD is dependent upon the strength and orientation of the magnetic field. Second, the gradient magnetic
force, F
∇
B, which is proportional to the gradient of the magnetic field, arises from electrogeneration
of
paramagnetic
molecules in a nonuniform magnetic field. F
∇
B is dependent on the magnetic field strength, its
spatial gradient, and the magnetic properties of the redox-active molecules. F
∇
B and F
MHD may be experimentally
decoupled and investigated by variation of the field homogeneity and the electrode orientation. Specifically,
F
MHD is negligibly small when the surface of the ultramicroelectrode is oriented perpendicular to the magnetic
field, thus allowing F
∇
B to be investigated without interference from magnetohydrodynamic flows. Order-of-magnitude theoretical estimates of F
MHD and F
∇
B are correlated with voltammetric data for the electrochemical
reduction of nitrobenzene at a 25-μm-radius Pt microdisk electrode in a superconducting cryomagnet.
Enhancements in the voltammetric limiting current as large as ∼400% (B = 9.4 T, ∇B = 0 T/m) and ∼100%
(B = 6 T, ∇B ∼ 75 T/m) are associated with F
MHD and F
∇
B, respectively.