  The scalar and tensor components of the electric quadrupole (E2)
polarizabilities of the first two excited states of all the alkali-metal atoms
are determined. To validate the calculations, we have evaluated the ground
state E2 polarizabilities of these atoms and compared them with the literature
values. We could not find the ground state E2 polarizability value for Fr in
the literature to compare with our result. The dominant parts of these
quantities are estimated by combining the precisely calculated E2 transition
matrix elements of many low-lying transitions with the experimental energies,
while the other contributions are estimated using lower-order methods. Our
estimated values for the ground states of the above atoms are in good agreement
with the literature values suggesting that our estimated E2 polarizabilities
for the excited states of the alkali atoms, which were not known earlier except
for the Li atom, are also quite accurate. These reported E2 polarizabilities
could be useful in guiding many precision measurements in the alkali atoms.
