The Landauer electrical resistivity R of one-dimensional (1D) layered
nanostructures is calculated. The analysis of the logarithm of the res
istance as a function of grain size reveals that there is a minimum va
lue of resistivity R(min) when the grain size takes a value of d(c), w
here d(c) depends on the barrier height and excess volume of interface
. R increases in the region of d(cl) > d > d(c), where d is the grain
size, and d(cl) is another critical value of grain size. The mechanism
of the anomalous resistivity behavior is discussed briefly.