Ionic radii are a measure of the size of ions, which are atoms or molecules that have gained or lost electrons and therefore have a net electric charge. The ionic radii of elements within a group or a period can show certain trends due to the properties of the elements and the way in which their electron configurations change.
Within a group:
Within a group, ionic radii tend to increase as you go down the group. This is because elements in the same group have the same number of valence electrons (the electrons in the outermost energy level of an atom), but as you go down the group, the number of energy levels (shells) increases. This means that the outermost electrons are farther away from the nucleus, which leads to a larger atomic radius. When an atom loses or gains an electron to become an ion, the ionic radius will be similar to the atomic radius, so the ionic radii of elements within a group will also increase as you go down the group.
Across a period:
Across a period, ionic radii tend to decrease as you go from left to right. This is because elements in the same period have the same number of shells, but as you go from left to right, the number of protons (and therefore the atomic number) increases. This increases the positive charge of the nucleus, which attracts the electrons more strongly. As a result, the electrons are held closer to the nucleus, leading to a smaller atomic radius. When an atom loses or gains an electron to become an ion, the ionic radius will be similar to the atomic radius, so the ionic radii of elements across a period will also decrease as you go from left to right.
It is important to note that these trends are not always absolute and there can be some exceptions due to other factors such as electron shielding and the electron configurations of the elements.