S. Siekierski, IONIC-RADII - EFFECT OF SHELL RADIUS, CATION CHARGE AND LONE ELECTRON-PAIR, Comments on modern chemistry. Part A, Comments on inorganic chemistry, 19(2), 1997, pp. 121-131
Radii of ions, r(i), were compared with radii of their outermost orbit
als, <r(nl)>. It has been found that for s and p block elements in the
oxidation state equal to the group number, r(i) is a Linear function
of <r(nl)> and, for a constant value of <r(nl)>, decreases with increa
sing formal charge of the cation. For p block elements in the oxidatio
n state two less than the group number, the difference r(i) - <r(nl)>
as well as the difference in orbital energies, epsilon(np) - epsilon(n
s), exhibit sawtooth behavior, i.e., secondary periodicity, similar to
that in stability of oxidation states. The sawtooth behavior in the r
adii suggests that the lone pair acquires some s(2) character between
the third and fourth period, and becomes mainly an s(2) pair in the si
xth period ions, particularly in Tl(+1). The radii of Lr(+1), 104(+4)
and 105(+5) have been estimated from linear relationships between r(i)
and <r(nl)>, and those of Al(+1), Ga(+1), In(+1) and Si(+2) from the
sawtooth pattern.