Final answer:
The radius of an atom decreases from left to right across a period due to an increased effective nuclear charge, and increases from top to bottom within a group due to additional principal energy levels.
Step-by-step explanation:
In general, the radius of an atom is related to the atom's attraction for outer-level electrons through the concept of effective nuclear charge (Zeff). As you move from left to right across a period, the atomic radius tends to decrease despite the addition of electrons. This is because along with electrons, protons are added to the nucleus, and because the additional protons pull the electrons closer, the effective nuclear charge increases. Electrons added to the same principal energy level do not fully compensate for the increased pull from the nucleus. Thus, with a stronger effective nuclear charge, the electrons are held more tightly, resulting in a smaller atomic radius.
When considering the group trend in the periodic table, the atomic radius generally increases from top to bottom within a group. This increase is due to a higher number of occupied principal energy levels in atoms further down a group, with these higher energy levels containing orbitals that are larger. Although there is also an increase in positive nuclear charge, the effect of additional principal energy levels is dominant, leading to an increase in atomic radius.