We report on the infrared conductivity of YBa2Cu3Ox and YBa2Cu4O8 crys
tals with different oxygen content and Zn doping. We find a correlatio
n between the structure of the scattering rate spectra 1/tau(a)(omega
,T) in the CuO2 planes and the pseudogap that develops in the c-axis c
onductivity of underdoped samples for T < T = 140-250 K. In the pseud
ogap state, the scattering rate is depressed at low frequencies and fo
llows an omega(2 +/- 0.3) law for omega < 400 cm(-1). When the c-axis
pseudogap is suppressed, either by an increase of temperature above T
or by a substitution of Cu with Zn, the spectra of 1/tau(a)(omega, T
) revert to the nearly linear omega dependence of the optimally doped
compounds.