We report here direct measurements of the destruction of charge quantizatio
n in a single-electron box, the first over the full range of box-to-lead co
nductance values from G congruent to 0 to the conductance quantum G(Q) = 2e
(2)/h, using a sensitive single-electron transistor (SET) electrometer. The
sensitivity of the electrometer is measured to be delta q congruent to 6 x
10(-5) e/root Hz and its superiority to conductance measurements of charge
fluctuations is clearly demonstrated. As the rate of quantum mechanical tu
nneling from the box to its lead is increased, the quantization of charge i
s destroyed, disappearing entirely at G = G(Q) in agreement with theory. (C
) 1999 American Institute of Physics. [S0003-6951(99)04303-X].