A lattice is a 3D system of points designating the position of the components that make up a solid.
Silicon is hard with a high melting point.
Graphite has a high melting point because the covalent bonds between the carbon atoms making up each layer are relatively strong.
Diamond has a very high boiling point due to the large number of covalent bonds between its atoms.
Metallic solids are malleable and ductile, but ionic solids are brittle.
Metallic solids are good conductors of heat and electricity, but ionic solids only conduct when molten or dissolved in water.
Ionic solids tend not to dissolve in nonpolar solvents, but dissolve in water.
In interstitial alloys, smaller atoms fill up spaces between bigger atoms. In substitutional alloys, atoms replace other atoms because they have the same size.