rules:
1) atomic radius trend increases from right to left and from top to bottom
2) cations are SMALLER than their atomic counterparts (Na+ < Na)
3) anions are LARGER than their atomic counterparts (F- > F)
4) if asked to rank radii given an isoelectronic set (isoelectronic meaning all atoms have the same number of electrons): calculate the proton/electron ratio for each atom. Whichever atom has the smallest ratio has the LARGEST radius, the 2nd smallest ratio having the SECOND LARGEST radius, and so on...
I agree with everything here except I think it's easier to just look at the atomic number for isoelectronic series. The greater the Z, the smaller the ionic radius.
I believe the OP is having trouble with comparing ionic radii of ions that are not an isoelectronic series, though.
ex. Rank Br-, Ca++, Rb+, and Sr++ from smallest to largest.
To rank this set, you would identify Br-, Rb+, and Sr++ as part of an isoelectronic set so rank them accordingly.
Sr++ < Rb+ < Br-
Now what do you do with Ca++? Here's another rule you can add to your list: When comparing ions of the same charge (ions within the same column), the ionic radii trend follows that of atomic radii. In other words, ionic radii will increase going down.
Since Ca++ is above Sr++, Ca++ would be smaller than Sr++.
So the final order would be: Ca++ < Sr++ < Rb+ < Br-
These rules work fine for a lot of problems, but we still haven't exhausted the possible scenarios.
ex. Rank Br-, Al+++, Sr++, F-, O--, I- from smallest to largest.
The answer would be Al+++ < Sr++ < F- < O-- < Br- < I- according to an ionic radius chart, but I would not know how to get this without looking at a table.
All I could get is:
Sr++ < Br-
Al+++ < F- < O--
and I- > F- > Br-
which are all true, but how would you get the exact order?