We present a graphical method for a unifying, quantitative analysis of mole
cular bonding-force measurements by atomic force microscopy (AFM). The meth
od is applied to interpreting a range of phenomena commonly observed in the
experimental AFM measurements of noncovalent, weak bonds between biologica
l macromolecules. The analysis suggests an energy landscape underlying the
intermolecular force and demonstrates that many observations, such as "snap
s-on," "jumps-off," and hysteresis loops, are different manifestations of a
double-well energy landscape. The analysis gives concrete definitions for
the operationally defined "attractive" and "adhesive" forces in terms of mo
lecular parameters. It is shown that these operationally defined quantities
are usually functions of the experimental setup, such as the stiffness of
the force probe and the rate of its movement. The analysis reveals a mechan
ical instability due to the multistate nature of molecular interactions and
provides new insight into macromolecular viscosity. The graphical method c
an equally be applied to a quantitative analysis of multiple unfolding of s
ubunits of the giant muscle protein titin under AFM. Proteins 1999;37:576-5
81, (C) 1999 Wiley-Liss, Inc.