Xy. Qin et al., LOW-TEMPERATURE RESISTANCE AND ITS TEMPERATURE-DEPENDENCE IN NANOSTRUCTURED SILVER, Physical review. B, Condensed matter, 56(16), 1997, pp. 10596-10604
The dc resistance and the temperature coefficient of resistance (TCR)
of bulk nanostructured silver (n-Ag), synthesized by inert gas condens
ation and in situ vacuum compaction as well as by the sol-gel method,
was investigated in the temperature range from 4.2 to 300 K. The resul
ts indicated that for all of the n-Ag specimens with larger grain size
s (d>20 nm) and higher densities (relative density D>88%) investigated
, their resistivity decreased with decreasing temperature, showing met
allic behavior; however, it was found that for the n-Ag with smaller g
rain sizes and lower density (D = 45-50 %), the resistance increased w
ith decreasing temperature (negative TCR) as its mean size d < 9 nm, e
xhibiting nonmetallic behavior. Furthermore, it was found that general
ly at a certain (fixed) temperature (at 280 K, for instance). there we
re approximately linear relations (with negative slope) between its TC
R and reciprocals of both grain size and density. In addition, the abs
olute magnitudes of the resistivity of n-Ag were higher than that of p
olycrystalline silver (poly-Ag), and increased with decreasing both gr
ain size and density. With the model of grain boundary reflection, it
was evaluated that the electron mean free path at room temperature was
44 and 33 nm for the n-Ag with grain size 38.5 and 25 nm, respectivel
y, both of which are smaller than that of poly-Ag (51 nm). It was also
evaluated that the electron transmission coefficient through boundari
es decreased monotonically from 0.83 to 0.42 as n-Ag density decreased
from 98.5 to 88%, suggesting greater boundary barriers in the n-Ag's
with lower densities. The fact that transition of TCR sign from positi
ve to negative can be attributed mainly to the dominant scattering cau
sed by interfaces as compared to that caused by intragranular phonons
in n-Ag with extremely fine grain sizes and low densities. [S0163-1829
(97)07936-8].