We report an NQR-NMR study of the chain copper and apex oxygen in the high-
temperature superconductor YBa2Cu4O8. Above T-c, the temperature dependence
s of the Cu spin-lattice relaxation rate and the Knight shift are quantitat
ively described in the framework of the one-dimensional electron gas model,
where the anisotropy and the correlation of the chain electron system are
taken into account. Electric-field-gradient fluctuations due to charge carr
iers in the chains contribute partly to the chain Cu relaxation and dominat
e the apex oxygen relaxation. The different temperature dependences of the
magnetic and quadrupolar relaxation rates of the chain Cu seem to confirm t
he separation of low-energy spin and charge excitations (spin-charge separa
tion), expected in the framework of the one-dimensional electronic gas mode
l. Finally, we present experimental evidence that below T-c the Cu-O chains
become superconducting through the proximity effect. [S0163-1829(99)03329-
9].