Atomic bonding in solids results from electrostatic attractions between atoms and determines material properties. Metallic bonding creates delocalized electrons enabling high conductivity; ionic bonding features discrete charged ions providing hardness; covalent bonding creates directed electron sharing yielding high stiffness. The type and strength of bonding controls melting point, electrical conductivity, and mechanical behavior.
You already understand the three primary bond types individually — ionic, covalent, and metallic — from your chemistry prerequisites. In a materials science context, the key shift is thinking about what bonding means at the bulk scale: how the cumulative effect of billions of atomic bonds per cubic centimeter determines the properties you measure in a laboratory or rely on in a structure. Every macroscopic property — stiffness, melting point, conductivity, optical transparency — traces back to the nature and strength of the bonds holding the solid together.
The bond energy well is the unifying picture. Plot potential energy versus interatomic separation for any pair of atoms: at large distances, there is a weak attractive force; at very short distances, a strong repulsive force (electron shell overlap) dominates. The equilibrium bond length r₀ is the separation at the energy minimum. The depth of the well sets the bond energy and directly controls the melting point — a deep well means you need to supply a lot of thermal energy to break bonds and disorder the structure. The curvature at the bottom of the well (the second derivative of the energy-distance curve at r₀) sets the stiffness of the bond and therefore the elastic modulus of the material. Steep-walled wells mean stiff bonds and high moduli; shallow, broad wells mean compliant bonds and lower moduli.
Metallic bonding gives a distinctive electron structure: valence electrons leave individual atoms and become delocalized across the entire crystal, forming a "sea of electrons" that glues the positive ion cores together. This delocalization is why metals conduct electricity and heat so well — electrons can move freely under an applied field. It also explains why metals are ductile: when you plastically deform a metal and shift planes of atoms relative to each other, the electron sea redistributes smoothly, so bonds do not snap. By contrast, ionic bonds are directional in the sense that positive and negative ions must maintain local charge neutrality. Shifting planes can bring like charges into opposition, causing brittle fracture rather than plastic flow — a key reason why ionic ceramics are brittle.
Covalent bonds are the most directionally specific: electrons are shared along precise angular orientations dictated by orbital geometry. This directionality creates high stiffness and high melting points (diamond is the extreme case), but it also makes plastic deformation difficult — there is no electron sea to redistribute, and breaking a covalent bond to allow slip requires overcoming the full bond energy. Most real engineering materials are not purely one bond type: silicate ceramics are mixed ionic-covalent, semiconductors span a range from fully covalent (silicon) to more ionic (gallium arsenide), and polymers have strong covalent bonds along chains but weak van der Waals forces between chains. Reading a material's property profile — rigid or flexible, conductive or insulating, high melting point or low — is largely an exercise in recognizing which bond type dominates and how strongly.