The physical and chemical properties of the elements are periodic functions of their atomic numbers.
The long form of the periodic table consists of 18 vertical columns (groups) and 7 horizontal rows (periods).
Decreases across a period (due to increasing effective nuclear charge). Increases down a group (due to addition of new shells).
The energy required to remove an electron from an isolated gaseous atom. Increases across a period. Decreases down a group.
Enthalpy change when an electron is added to an isolated gaseous atom. Becomes more negative across a period. Becomes less negative down a group.
The ability of an atom in a chemical compound to attract shared electrons to itself. Fluorine is the most electronegative element. Increases across a period, decreases down a group.
Valence: Electrons in the outermost shell determine the valence. Across a period, valence with respect to Hydrogen increases from 1 to 4, then falls to 1.
The first element of each group (Li, Be, B, C, N, O, F) differs from the rest of their group due to small size, large charge/radius ratio, high electronegativity, and absence of d-orbitals.