INTERMOLECULAR FORCES, LIQUIDS, & SOLIDS AIM Explore the relationship among structure, intermolecular forces, and physical properties of matter. CONTENTS 11.1- A molecular Comparison of Liquids and Solids 11.2- Intermolecular Forces 11.3- Some Properties of liquids 11.4- Phase Changes 11.5- Vapor Pressure 11.6- Phase Diagrams 11.7- Structures of Solids 11.8- Bonding in Solids REVIEW QUESTIONS AND PROBLEMS 11.1- A Molecular Comparison of Liquids & Solids Liquid molecules are held closer together than gas molecules, but not so rigidly that the molecules can slide past each other. Solid molecules are packed closely together. Molecules are rigidly packed that they cannot easily slide past each other. Converting a gas into a liquid or solid requires the molecules to get closer to each other: cool or compress. Converting a solid into a liquid or gas requires the molecules to move further apart to each other: heat or decrease the pressure 11.1 INTERMOLECULAR FORCES Intermolecular forces are the forces that exist between molecules; they are the attractive forces that hold together the particles of a liquid or a solid. Intermolecular forces are typically much weaker than covalent or ionic bonds (intramolecular forces); So it takes much more energy to break the covalent bond between H and Cl than it does to vaporize HCl When a substance undergoes a physical change, the intermolecular forces are broken and not the intramolecular forces. When a substance condenses the intermolecular forces are formed. The strength of the intermolecular forces in a compound are reflected in its melting point and boiling point. The stronger the intermolecular forces, the more energy is required to overcome those forces Forces that hold together molecules and atoms (both electrically neutral species) are referred to collectively as van der Waals forces. Attractive forces include dipole-dipole attractive forces, hydrogen bonding, and London dispersion forces. Ion-Dipole Forces An ion-dipole force exists between an ion and the partial charge on the end of a polar molecule. The positive ends will orient themselves toward a negative ion, and the negative ends will orient themselves toward a positive ion. As with all electrostatic attraction, the magnitude of the attraction increases with the size of the charge (both on the ion and on the dipole). Ion-Dipole Forces are the strongest of all intermolecular forces. Dipole-Dipole Forces Dipole-Dipole Forces: exist between neutral polar molecules. The positive end of one polar molecule (dipole) is attracted to the negative end of another. The greater the polarity of the molecules, the stronger the attractions between them. For the attraction to be greater the dipoles need to be close together. There is a mix of attractive and repulsive forces as the molecules tumble. The overall effect is a net attraction For molecules of approximately the same size, boiling point increases with increasing dipole moment: Dipole Dipole forces are weaker than ion-dipole forces London Dispersion Forces There are many nonpolar substances exist as condensed phases. The intermolecular forces holding nonpolar atoms or molecules together are known as London dispersion forces. It is possible for two adjacent molecules or atoms to affect each other. The nucleus of one molecule or atom attracts the electron clouds of the adjacent molecule or atom. We say the molecule has become polarized. This creates an instantaneous dipole, which can induce an other instantaneous dipole in the adjacent molecule. Those dipoles attract each other. This attractive force is called London dispersion force. Polarizability is the ease with which an electron cloud can be deformed. The larger the molecule, the greater the polarizability, the more easily the electron cloud can be distorted to give a momentary dipole which leads to a stronger London dispersion forces. London dispesion forces increase as the molecular weights increase boiling points increase London dispesion forces exist in all molecules. London dispersion forces depends on the shape of the molecule (VSEPR) The greater the surface area available for contact, the greater the dispersion forces. Hydrogen Bonding Hydrogen bonding occurs when hydrogen is bound to a small, very electronegative atom. (The most significant hydrogen bonding occurs when H is covalently bonded to F, O, N. The electronegative atom effectively strips hydrogen of its only electron, leaving a nearly unshielded proton exposed. This proton is powerfully attracted to the atoms on neighboring molecules that have unshared electron pairs. Hydrogen bonds significantly impact the properties of some substances Experimentally the boiling points of compounds with H-F, H-O, and H-N bonds are abnormally high The hydrogen bonds are 5-10% as strong as covalent bonds. Hydrogen bonds are generally stronger than dipole-dipole interaction or dispersions forces. Solids are usually more closely packed than liquidsSolids are more dense than liquids Exception: Ice is ordered with an opened structure(regular hexagon) to optimize H-bonding Therefore, ice is less dense than water Comparing Intermolecular Forces Despersion forces are found in all substances. Dipole-dipole forces and hydrogen bonds add to the effect of dispersion forces. None of the intermolecular forces are stronger than ionic or covalent bonds. 11.3 Some Properties of Liquids Viscosity is the resistance of a liquid to flow The stronger the intermolecular forces, the higher the viscosity. The viscosity decreases with increasing temperature. Surface Tension Bulk molecules (those in the liquid) are equally attracted to their neighbors. Surfaces molecules are attracted sidewises and inwards towards the bulk molecules Therefore, surface molecules are packed more closely than the bulk molecules causing the liquid to behaves like a skin. Surface tension is the amount of energy required to increase the surface area of a liquid. Cohesive forces bind the molecules to each other Adhesive forces bind the molecules to surface of the container If the adhesive forces are large than cohesive forces, the liquid is attracted to the surface of the container more than the bulk molecules. Therefore, the meniscus is U-shaped (water in glass) If the cohesive forces are greater than adhesive forces, the liquid is attracted to the bulk molecules more the surface of the container. Therefore, the meniscus is downward (mercury in glass). 11.4 Phase Changes Energy Changes Accompanying Phase Changes Energy change of the system for the above processes are: Sublimation: sub > 0 (endothermic). Vaporization: Hvap > 0 (endothermic). Melting or Fusion: fus > 0 (endothermic). Deposition:dep < 0 (exothermic). Condensation:Hcon < 0 (exothermic). Freezing: Hfre < 0 (exothermic). Generally heat of fusion (enthalpy of fusion) is less than heat of vaporization: it takes more energy to completely separate molecules, than partially separate them. The sequence solid + heat liquid (fusion) liquid + heat gas (vaporization) solid + heat gas (sublimation) is endothermic. The sequence gas (cool) liquid + heat (condensation) Liquid (cool) solid +heat (freezing) gas (cool) solid + heat (deposition) is exothermic. Heating Curves Plot of temperature changes versus heat added is a heating curve. During a phase change, adding heat causes no temperature change. These points are used to calculate Hfus and Hvap Supercooling: When a liquid is cooled below its melting point and it still remains a liquid. 11.5 Vapor Pressure Explaining Vapor Pressure on the Molecular Level Some of the molecules on the surface of a liquid have enough energy to escape the attraction of the bulk liquid. These molecules move into the gas phase. As the number of molecules in the gas phase increases, some of the gas phase molecules strike the surface and return to the liquid. Dynamic Equilibrium occurs when as many molecules escape the surface as strike the surface. A liquid and its vapor are in dynamic equilibrium when evaporation and condensation occur at equal rates. Vapor pressure is the pressure exerted when the liquid and vapor are in dynamic equilibrium. Volatility, Vapor Pressure, and Temperature If equilibrium is never established then the liquid evaporates (e.g water in an open container). Volatile substances evaporate rapidly (e.g gasoline). The higher the temperature, the higher the average kinetic energy, the faster the liquid evaporates. Vapor Pressure and Boiling Point Liquids boil when the external pressure acting on the surface of the liquids equals the vapor pressure. Temperature of boiling point increases as pressure increases. Pressure cookers operate at high pressure. At high pressure the boiling point of water is higher than 1 atm. Therefore, there is a higher temperature at which the food would be cooked. 11.6 Phase Diagrams Phase diagram: plot of Pressure vs. Temperature summarizing all equilibria between phases. Features of a phase diagram: Triple point: temperature and pressure at which all three phases are in equilibrium. Vapor-pressure curve: generally as pressure increases, temperature increases. Critical point: Critical Temperature and Pressure Critical temperature: A temperature above which the gas cannot be liqufefy regardless of the pressure. Critical pressure: pressure required for liquefaction. Melting point curve: as pressure increases, the solid phase is favored if the solid is more dense than the liquid. Normal melting point: melting point at 1 atm. Any temperature and pressure combination not on a curve represents a single phase. Phase Diagrams of H2O and CO2 For H2O The melting point curve slopes to the left because ice is less dense than water. Triple point occurs at 0.0098o C and 4.58 mmHg. Normal melting (freezing) point is 0o C. Normal boiling point is 100 oC. Critical point is 374o C and 218 atm. For CO2 Triple point occurs at -56.4o C and 5.11 atm. Normal sublimation point is -78.5o C (At 1 atm CO2 sublimes it does not melt.) Critical point occurs at 31.1o C and 73 atm. 11.7 Structures of Solids Crystalline solid: well-ordered, definite arrangements of molecules, atoms or ions. Examples: quartz, salt, sugar. Tend to melt at specific temperatures. Therefore, have a narrow range of intermolecular forces. Amorphous solid: molecules, atoms or ions do not have an orderly arrangement. Examples: rubber, glass. Tend to melt over a range of temperatures. Therefore, amorphous solids have variable intermolecular forces. Unit Cells Crystals have an ordered, repeated structure. The smallest repeating unit in a crystal is a unit cell. Unit cell is the smallest unit with all the symmetry of the entire crystal. Three dimensional stacking of unit cells is the crystal lattice. Three types of unit cell . 1. Primitive cubic, atoms at the corners of a simple cube, each atom shared by 8 unit cells; 2. Body-centered cubic (bcc), atoms at the corners of a cube plus one in the center of the body of the cube, corner atoms shared by 8 unit cells, center atom completely enclosed in one unit cell; 3. Face-centered cubic (fcc), atoms at the corners of a cube plus one atom in the center of each face of the cube,corner atoms shared by 8 unit cells, face atoms shared by 2 unit cells. Only in the sample cubic that the atoms at the corners of the cube touch each other. In the body centered cubic cell atom contact is a body diagonal. In the face centered cubic atoms touche a face diagonal. Close Packing of Spheres Solids have maximum intermolecular forces. Molecules, atoms or ions can be modeled by spheres. Molecular crystals are formed by close packing of the molecules. We rationalize maximum intermolecular force in a crystal by the close packing of spheres. When spheres are packed as closely as possible, there are small spaces between adjacent spheres called interstitial holes. A crystal is built up by placing close packed layers of spheres on top of each other. If unequally sized spheres are used, the smaller spheres are placed in the interstitial holes X-Ray Diffraction When waves of X rays hit a crystal , the electron’s clouds of the atoms of the crystal are diffracted giving a diffraction pattern Efficient diffraction occurs when the wavelength of light is close to the size of the atoms of the crystal. X-rays are scattered by atoms interference (constructive or destructive). The spacing between layers in a crystal is 2 - 20 Ao , which is the wavelength range for X-rays. X-ray diffraction (X-ray crystallography): X-rays are passed through the crystal and are detected on a photographic plate. The photographic plate has one bright spot at the center (incident beam) as well as a diffraction pattern. Each close packing arrangement produces a different diffraction pattern. Knowing the diffraction pattern, we can calculate the positions of the atoms required to produce that pattern. We calculate the crystal structure based on a knowledge of the diffraction pattern. Bragg equation: 2 d sin = n d: spacing between 2 successive layers of particles : angle at which X rays enter & leave the layers n: diffraction order (an integer) : wavelength of the X rays The Bragg equation serves as the basis for the study of crystalline structures by XRD. Method: measure and calculate d then compare structure of the solid Intensities of diffracted rays atomic positions 11.8 Bonding in Solids There are four types of solids: 1. Molecular solids Molecular (formed from molecules) - usually soft with low melting points and poor conductivity. Intermolecular forces: dipole-dipole, London dispersion and H-bonds. Weak intermolecular forces give rise to low melting points. Room temperature gases and liquids usually form molecular solids and low temperature. 2.Covalent-Network Solids (formed from atoms) - very hard with very high melting points and poor conductivity. Atoms held together in large networks. Examples: diamond, graphite, quartz (SiO2 ), silicon carbide (SiC), and boron nitride (BN). In diamond: each C atom has a coordination number of 4; each C atom is tetrahedral; there is a three-dimensional array of atoms. Diamond is hard, and has a high melting point (3550o C). In Graphite each C atom is arranged in a planar hexagonal ring; layers of interconnected rings are placed on top of each other; the distance between C atoms is close to benzene (1.42 Ao vs. 1.395 Ao in benzene); the distance between layers is large (3.41 Ao ); electrons move in delocalized orbitals (good conductor). 3.Ionic Solids (formed form ions ) - hard, brittle, high melting points and poor conductivity . F = k Q1Q2 d2 Ions (spherical) held together by electrostatic forces of attraction: The higher the charge (Q) and smaller the distance (d) between ions, the stronger the ionic bond. There are some simple classifications for ionic lattice types: NaCl Structure Each ion has a coordination number of 6. Face-centered cubic lattice. Cation to anion ratio is 1:1. Examples: LiF, KCl, AgCl and CaO. CsCl Structure Cs has a coordination number of 8. Different fron the NaCl structure (Cs+ is larger than Na+). Cation to anion ratio is 1:1. Zinc Blende Structure Typical example ZnS. S2- ions adopt a fcc arrangement. Zn2+ ions have a coordination number of 4. The S2- ions are placed in a tetrahedron around the Zn2+ ions. Example: CuCl. Fluorite Structure Typical example CaF2 Ca2+ ions in a fcc arrangement. There are twice as many F- per Ca2+ ions in each unit cell. Examples: BaCl2, PbF2 4. Metallic Solids Meltallic Solids (formed from metal atoms) - soft or hard, high melting points, good conductivity, malleable and ductile Metallic solids have metal atoms in hcp, fcc or bcc arrangements. Coordination number for each atom is either 8 or 12. Problem: the bonding is too strong for London dispersion and there are not enough electrons for covalent bonds. Resolution: the metal nuclei float in a sea of electrons. Metals conduct because the electons are delocalized and are mobile.