Searches for scalar top and bottom quarks have been performed with dat
a collected by the ALEPH detector at LEP. The data sample consists of
21.7 pb(-1) taken at root s = 161, 170, and 172 GeV and 5.7 pb(-1) tak
en at root s = 130 and 136 GeV. No evidence for scalar top quarks or s
calar bottom quarks was found in the channels (t) over tilde --> c chi
, (t) over tilde --> bl<(nu)over tilde>, and (b) over tilde --> b chi.
For the channel (t) over tilde --> c chi a limit of 67 GeV/c(2) has b
een set on the scalar top quark mass, independent of the mixing angle
between the supersymmetric partners of the left and right-handed state
s of the top quark. This limit assumes a mass difference between the (
t) over tilde and the chi of at least 10 GeV/c(2). For the channel (t)
over tilde --> bl<(nu)over tilde> the mixing-angle independent scalar
top limit is 70 GeV/c(2), assuming a mass difference between the (t)
over tilde and the <(nu)over tilde> of at least 10 GeV/c(2). For the c
hannel (b) over tilde --> b chi, a limit of 73 GeV/c(2) has been set o
n the mass of the supersymmetric partner of the left-handed state of t
he bottom quark. This limit is valid if the mass difference between th
e (b) over tilde and the chi is at least 10 GeV/c(2). (C) 1997 Elsevie
r Science B.V.