Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Metallic bonding is the electrostatic attraction between a lattice of positive metal ions (cations) and a 'sea' of delocalized valence electrons. The strength of the bond increases with the number of valence electrons and decreasing ionic radius, e.g., has a higher melting point than because of higher charge density.
Ionic bonding results from the electrostatic attraction between oppositely charged ions in a giant lattice. The strength of the ionic bond is determined by Coulomb's Law, where the force of attraction is proportional to the product of charges () and inversely proportional to the square of the distance between them ().
Alloys are mixtures of metals with other elements. They are often harder than pure metals because atoms of different sizes disrupt the regular lattice layers, preventing them from sliding over each other easily. Examples include steel and brass.
Giant covalent structures like diamond, graphite, and involve atoms linked by covalent bonds in a continuous network. In diamond, each carbon is hybridized, forming a tetrahedral structure, while in graphite, carbon is hybridized, forming layers held by London dispersion forces.
Molecular materials are held together by intermolecular forces (IMFs) such as London dispersion forces, dipole-dipole attractions, and hydrogen bonding. Hydrogen bonding occurs when hydrogen is covalently bonded to highly electronegative elements (, , or ).
The Valence Shell Electron Pair Repulsion (VSEPR) theory predicts molecular geometry based on the principle that electron domains (bonding and non-bonding pairs) around a central atom stay as far apart as possible to minimize repulsion.
Formal charge () is used to determine the most stable Lewis structure among resonance contributors. The structure where the of each atom is closest to zero is generally preferred.
📐Formulae
(where is valence electrons, is non-bonding electrons, and is bonding electrons)
(Coulomb's Law for ionic bond strength)
💡Examples
Problem 1:
Explain why magnesium oxide () has a significantly higher melting point than sodium chloride ().
Solution:
whereas .
Explanation:
In , the ions are and , while in they are and . According to the lattice enthalpy relationship , the product of charges for is , while for it is . The higher charges and smaller ionic radii in result in much stronger electrostatic attractions, requiring more energy to break the lattice.
Problem 2:
Determine the molecular geometry and bond angle of the ammonia molecule ().
Solution:
Geometry: Trigonal Pyramidal; Bond angle: .
Explanation:
Nitrogen has 5 valence electrons. In , there are 3 bonding pairs and 1 lone pair, making 4 electron domains (Tetrahedral electron domain geometry). Because the lone pair-bonding pair repulsion is greater than bonding pair-bonding pair repulsion, the bond angle is reduced from the ideal tetrahedral to approximately .
Problem 3:
Calculate the formal charge of the central Carbon atom in Carbon Dioxide ().
Solution:
Explanation:
Carbon is in group 14 and has valence electrons. In the Lewis structure , the central carbon has 0 non-bonding electrons () and 4 bonding pairs (8 electrons, so ). Using the formula , we get .