Concept:
Chemistry - Acids and Bases (Lewis Theory).
Step 1: Recall the Lewis theory of acids and bases.
According to the theory proposed by G.N. Lewis, acid-base reactions are defined entirely by the transfer of electron pairs, without any requirement for hydrogen or hydroxide ions.
Step 2: Define a Lewis acid.
A Lewis acid is defined as any chemical species that is electron-deficient and capable of accepting a pair of electrons to form a coordinate covalent bond.
Step 3: Define a Lewis base.
Conversely, a Lewis base is defined as any chemical species that has at least one lone pair of electrons and is capable of donating this electron pair to a Lewis acid.
Step 4: Evaluate the given options against the definitions.
Option (A) defines a Lewis acid. Option (C) defines a Brønsted-Lowry base (proton acceptor). Option (D) defines an Arrhenius base (hydroxide donor).
Step 5: Conclude the correct characteristic.
Only Option (B), "donate a pair of electron", correctly matches the fundamental definition of a Lewis base.
$$
\therefore \text{A Lewis base is an electron pair donor.}
$$