The purpose of this work is to determine experimentally the frequency
shift of a quartz crystal resonator in contact with an inert gas, over
a wide range of density of the gas, and to evaluate the various facto
rs affecting this observed behavior. Four different gases were used (A
r, N-2, He, and H-2), allowing a wide range of densities to be studied
, over a range of pressure of 0.5-50 atm. Three types of surfaces were
used: gold, as obtained from the manufacturer of the quartz crystal;
the same electroplated with a rough layer of nickel; the same nickel s
urface polished mechanically. Hydrogen was not studied in combination
with nickel because absorption of the gas occurs spontaneously at room
temperature. The total frequency shift observed can be divided into c
ontributions due to added mass, to the pressure, and to the product of
density and viscosity. Under the present experimental conditions the
effect of added mass is negligible, since adsorption does not occur. T
he effects of pressure, density, and viscosity have been calculated fr
om equations given in the literature. When all these are corrected for
, there is a residual effect associated with the interaction of the fl
uid with a rough surface. A detailed analysis of the effect of roughne
ss on frequency cannot be made, since the roughness is of a random nat
ure. Theories developed for a number of limiting cases indicated that
the frequency shift associated with surface roughness should be propor
tional to the density of the fluid. This relationship was found to hol
d experimentally. The roughness affecting the frequency of the quartz
crystal resonator cannot be related in a simple manner to the surface
roughness determined by standard electrochemical methods or by STM. Ne
vertheless, it will be possible to detect changes in surface morpholog
y by their effect on the frequency in most cases.