Why Does the Atomic Radius Decrease Across a Period?

The atomic radius measures an atom’s size, defined as the distance from the nucleus to the outermost electron shell. Across the periodic table, a distinct trend emerges: as one moves horizontally from left to right across a row, or period, the atoms consistently get smaller. This contraction occurs despite the fact that each successive element contains more electrons and protons. This phenomenon is governed by the interplay between the atom’s internal structure and electromagnetic forces.

The Context of Electron Shells and Periods

The atom is organized into specific energy levels called electron shells. These shells are designated by the principal quantum number, \(n\). A horizontal row, known as a period, corresponds to the filling of electrons into the same outermost principal quantum shell. This means that every element within the same period has its highest-energy electrons residing in the same general distance level from the nucleus. As you move across a period, the new electron being added is placed into this existing outermost valence shell, ensuring the number of electron shells remains constant across the row.

The Driving Force of Nuclear Charge

The primary cause for the shrinking atomic radius is the steady increase in the positive nuclear charge. Moving one step across a period means adding exactly one proton to the nucleus, increasing the atomic number \(Z\). This addition increases the total positive charge concentrated in the central nucleus. This stronger positive charge generates a greater electrostatic force of attraction for all surrounding negatively charged electrons. This increasing attraction is the dominant force driving the electrons inward. For instance, when comparing Lithium (\(Z=3\)) to Neon (\(Z=10\)) in Period 2, the nucleus of Neon has a significantly greater pull on its electrons due to the seven additional protons. This escalating positive charge is the reason the atom’s electron cloud is compressed toward the center.

The Limiting Effect of Electron Shielding

A counteracting force to the nuclear attraction is electron shielding, also known as screening. Shielding describes how the inner, core electrons block some of the nucleus’s positive pull from reaching the outermost, or valence, electrons. The inner electrons act as a screen, reducing the attractive charge experienced by the periphery electrons. However, moving across a period, the shielding effect remains relatively constant. The electrons primarily responsible for shielding are the inner-shell electrons, which do not change in number within a given period. Since the number of core electrons stays the same, the overall screening of the nucleus does not significantly increase. The new electrons being added are placed into the same valence shell, and electrons within the same shell do not effectively shield each other from the nucleus.

The Net Result: Atomic Contraction

The decrease in atomic radius results from a “tug-of-war” between the increasing nuclear charge and the relatively constant electron shielding. The increase in the positive charge of the nucleus is a much stronger effect than the minor increase in electron-electron repulsion within the same shell. Consequently, the valence electrons experience an increasing effective nuclear charge (\(Z_{eff}\)). This is the net positive charge felt by an electron after accounting for the shielding from inner electrons. Because \(Z_{eff}\) increases across the period, the outermost electrons are pulled more tightly toward the nucleus. This stronger net attraction compresses the entire electron cloud, leading to a systematic decrease in the atomic radius, making the elements on the right side of the periodic table the smallest in their rows.