Review for third exam: Chapter 6 (6.4 to 6.9) De Broglie wavelength; electron diffraction Heisenberg Uncertainty Principle ( x) (p) h/4 Quantum numbers for the electron in hydrogen; restrictions and meaning n - principle quantum number; relationship to energy and distance from nucleus l - angular momentum quantum number; relationship to orbital type (s, p, d, ...) shapes of s, p and d orbitals nodes; relationship between n, , and number of radial nodes ml - magnetic quantum number; relationship to the number of different orbitals ms - spin quantum number; relationship to electron spin Determining possible values for n, l, m, and ms n = 1, 2, 3, … Examples: If n = 3, l = 0, 1, 2 l = 0, 1, 2, … (n-1) If l = 2, ml = -2, -1, 0, +1, +2 ml = -l, …, +l ms = - 1/2, +1/2 Electron configuration for atoms Pauli principle Aufbau principle Hund's rule Order of energy for orbitals 1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < …; mnemonic device Shorthand notation for electron configuration (using noble gases) Orbital filling diagrams; counting unpaired electron spins; diamagnetic and paramagnetic Electron configuration and the periodic table; core and valence electrons Anomolous electron configurations; transfer of one s electron to give a half-filled or filled d orbital (Cr, Mo, Cu, and Ag) Chapter 7 Formation of ions by main group elements; relationship to noble gas configurations Common ions for main group elements Method for finding electron configurations for metal cations (write configuration for the atom, then remove electrons from the highest n, or highest l (for orbitals with same n) to get correct charge) Effective nuclear charge, Zeff; its calculation and interpretation Trends in atomic size (atoms in the same group, atoms in the same row); explanation for trends Trends in ion size (ions with the same charge in the same group, different ions of the same element, ions with the same number of electrons); explanation for trends Definition of first ionization energy and higher ionization energies Trends in first ionization energy (atoms in the same group, atoms in the same row); explanation for trends Jumps in higher ionization energies; relationship to the number of valence electrons Electron affinity; definition; relative values for halogens and noble gases Making predictions about sizes of atoms and ions, ionization energies, and similar questions Metallic character and its trends Chapter 8 General types of bonding; ionic, covalent, metallic General properties of ionic bonding; formation of binary ionic compounds Lewis (dot) structures for atoms; dot structures for main group atoms; octet rule Lewis picture of formation of ionic compounds; dot structure for ions Lattice energy; definition; Born-Haber cycle (you do not have to memorize the cycle) Trends in lattice energy (ion size, ion charge); explanation for trends Failure of ionic bonding of nonmetals with nonmetals Covalent bonding; bonding electrons; lone pair electrons Bond order; single bond, double bond, triple bond; bond order vs bond length Lewis structures for polyatomic molecules and ions Comparison of ionic and covalent bonding and the effects of bonding on properties Electronegativity; trends in electronegativity Bond polarity; representation of polar bonds by partial charges or arrows Nonpolar covalent, polar covalent, and ionic bonding and the relationship of these to electronegativity differences in bonded atoms Dipole moment as a measure of the polarity of a molecule General methods for finding Lewis structures for molecules or ions obeying the octet rule Covalent bonding and Lewis structures for organic molecules Resonance structures Formal charge and rule for assigning formal charge Use of formal charge to find the "best" Lewis structure for a molecule or ion Coordinate covalent bonds Exceptions to the octet rule Less than an octet of electrons (Be, B, Al) Odd number of electrons (example: NO2) Augmented (expanded) octets for elements in the third row and below (example: SF6) Bond dissociation enthalpy; average bond dissociation enthalpy; trends in relation to bond order Estimating Hrxn using a table of average bond energies Average bond length; trends in relation to bond order Metallic bonds and its general description; relationship to properties of metals Chapter 9 Electron geometry and molecular geometry; definition; difference between the two VSEPR (valence shell electron pair repulsion) theory; counting electron containing regions Electron and molecular geometries and bond angles for the common cases (table in powerpoint) 2 regions (linear) 3 regions (trigonal planar; trigonal planar or nonlinear molecular) 4 regions (tetrahedral; tetrahedral, trigonal pyramid, nonlinear molecular) 5 regions (trigonal bipyramid; trigonal bipyramid, see saw, T-shape, linear molecular) 6 regions (octahedral; octahedral, square pyramid, square planar molecular) Geometries for interior atoms in large molecules Deviations from "pure" geometries Drawing three dimensional structures for molecules and ions Polar molecules and the relationship to polar bonds in the molecules Valence bond theory - Overlap of atomic orbitals to make covalent bonds Hybrid orbitals; relation between the number of electron containing regions and hybridization (2 regions = sp, 3 regions = sp 2, 4 regions = sp3, 5 regions = sp3d, 6 regions = sp3d2) Sigma () bond, pi () bonds - appearance, formation, counting sigma and pi bonds Molecular orbital theory - LCAO-MO (linear combination of atomic orbitals to form molecular orbitals) Formation of (bonding) and * (antibonding) molecular orbitals Formation of (bonding) and * (antibonding) molecular orbitals Use of orbital filling diagrams for homonuclear diatomic molecules and ions Electron configuration for homonuclear diatomic molecules and atoms Bond order and its calculation in MO theory Counting unpaired electrons; diamagnetic and paramagnetic molecules and ions Multicentered pi-bonding; relationship to resonance structures Pi-bonding in benzene Chapter 10 General properties of gases Pressure; definition, units for pressure, conversion between units Barometer; manometer Boyle's law Charles' law Relationships derived from Boyle's law and Charles' law Avogadro's hypothesis The ideal gas law State variables; extensive and intensive variables; molar volume (V m = V/n) Assumptions involved in the ideal gas law; limiting conditions for ideal behavior The gas constant (R) in various units Calculations involving the ideal gas law; determination of molecular mass from gas density Gas density; STP (standard temperature and pressure) Dalton's law of partial pressures; mole fraction Kinetic theory; assumptions use in kinetic theory rms average speed, kinetic energy per mole of gas Maxwell velocity distribution Diffusion, effusion; depenence on 1/M1/2 Real gases van der Waals equation; interpretation of a an b coefficients; calculations with the equation