Using the interfacial force microscope in an indentation mode, we have
quantitatively investigated the mechanical properties for the (111),
(001), and (110) surfaces of Au single crystals. Nanoscale indentation
s of wide, atomically flat terraces provide a measure of the nanomecha
nical properties of Au in the absence of bulk and surface defects. The
elastic indentation modulus for the (111) surface was found to be 36%
greater than for the (001) and 3% greater than for the (110) surfaces
. These results are compared to earlier theoretical predictions of the
effect of anisotropy on indentation based on continuum mechanics and
atomistic simulations. Additionally, we have quantified the yield poin
t of the three crystal orientations by measuring the stress at which i
nitial plastic deformation occurs. By resolving the applied stresses o
n {111} slip planes, we have estimated maximum shear stresses at the y
ield point. For each orientation, plastic deformation occurred when th
e maximum resolved shear stress reached approximately 1.8 GPa on all {
111} planes that appeared to contribute to deformation. Based on this
estimate, we propose that the critical resolved shear stress for plast
ic indentation of Au is 1.8 GPa and that the yield criterion is that t
his stress be attained on all {111} slip planes noncoplanar with the s
urface.