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Chapter 3 and 18: Modern Atomic Theory I. Atomic Structure A. The atom is mostly empty space with a solid core composed of protons and neutrons surrounded by a series of “clouds” or “energy levels” containing electrons. 1. Three fundamental particles compose atoms: protons, electrons, and neutrons. 2. Atoms by definition are electrically neutral (# of protons which are positive = # of electrons which are negative) 3. Rutherford Gold Foil experiment (early 1900’s) Topic 2 Atomic Atomic Structure: Structure: Basic Basic Concepts Concepts The Gold Foil Experiment Topic 2 Atomic Atomic Structure: Structure: Basic Basic Concepts Concepts The Nuclear Model of the Atom • The new model of the atom as pictured by Rutherford’s group in 1911 is shown below. 4. Cathode ray tube – used to discover the electron and proton (Thomson) B. Atomic number vs atomic mass 1. Each element (atom) has a unique number of protons and electrons that define it. This number is called the atomic number. 2. Each element is also characterized by an average atomic mass that neglects the number of electrons because they are so small in mass. This number is called the atomic mass. 3. Atomic mass (rounded to the nearest whole number -atomic number # of neutrons 4. Atoms are arranged in the Periodic Table in order of increasing atomic number. C. Nucleus = central core, contains most of the mass of the atom (protons and neutrons) vs energy levels (electrons) 1. protons = positive charge (+1), mass of 1 amu (1.673 x 10-24 g), nucleus 2. neutrons = no net electric charge (0), mass of 1 amu (1.675 x 10-24 g), nucleus 3. electrons = negative charge (-1), mass of 0.0005 amu (9.1 x 10-28 g), energy levels 4. protons are made of 2 “up” and 1 “down” quark 5. neutrons are made of 2 “down” and 1 “up” quark 6. gluons are smaller particles transferred between quarks 7. pions are smaller particles transferred between protons and neutrons 8. quarks, pions, gluons, and other particles (neutrinos, etc.) were discovered by blowing apart the nucleus of atoms in particle accelerators 9. forces inside the nucleus: strong nuclear force holds particles together whereas electrostatic repulsion pushes them apart 10. Electrons fill up energy levels, sublevels, and orbitals in order 1st level = 2 2nd level = 8 3rd level = 18 4th level = 32 5th – 7th level = 32 D. Ions are atoms with a net electrical charge 1. atoms become ions by gaining or losing electrons to satisfy the octet rule (Rule of 8) to become more “stable.” Atoms with 8 electrons in their outermost energy level are stable. 2. Positive ions (cations) form when atoms lose electrons. 3. Negative ions (anions) form when atoms gain electrons. 4. Each ion is assigned a charge, oxidation number, or valence. (+1, +2, +3, +4, -1, -2, -3, -4) written as superscripts. 5. Determining the ionic charge: 6. Writing ionic equations: 7. Periodic Table and Ionic Charge: E. Isotopes: atoms with a different number of neutrons 1. Writing isotopes using the “mass number”: 2. Determining the most common isotope: F. “Particle” nature of matter 1. Democritus (400 BC) – Substances around us are made of tiny “indivisible” particles = “atomos” 2. Law of Definite Proportions – two samples of the same compound have the same proportions by mass Example: NaCl 60.7% - Na; 39.3% - Cl 3. Law of Conservation of Mass: mass of reactants must equal the mass of the products Example: 2H2 + 1O2 2H2O 4. Law of Multiple Proportions: If two or more different compounds are composed of the same two elements, the ratio of the masses of the second element to the first is always a simple whole number. NO NO2 1.14g of O 1.00g of N 2.28g of O 1.00g of N 5. Dalton’s “concept” of matter and atoms a. All matter is composed of atoms which can not be subdivided, created, or destroyed b. Atoms of the same element are identical c. Atoms of different elements are different d. Atoms of different elements combine in simple whole number ratios e. In chemical reactions atoms are rearranged but neither created nor destroyed II. Electrons and Their Properties A. Electrons travel around the nucleus at great speeds in energy levels, sublevels, and orbitals. Atoms can contain as many as 7 energy levels. B. The greater the distance from the nucleus, the higher the energy level of the electron. C. Simplified “Bohr” diagrams of atomic structure D. Electrons have both the properties of matter as well as energy (waves) – De Broglie E. Electromagnetic Energy and “Waves” 1. amplitude 2. wavelength 3. frequency 4. speed 5. Electromagnetic spectrum 6. wavelength x frequency = speed of light F. Quantum Theory of the Atom 1. atoms absorb or emit specific amounts of energy or quanta (Planck); E = hv 2. photoelectric effect – each photon of light carries a specific amount of energy given by the equation E = hv (Einstein) 3. dual nature of light: possesses the properties of energy (waves) and matter (particles) 4. when excited and viewed through a spectroscope, atoms produce various colored “line spectra” of specific colors, wavelengths, and energies. This reflects the “jumps” electrons make between energy levels and the “ground” state and therefore the specific “energies” of electrons. 5. electrons behave as matter “waves” – DeBroglie 6. We can not know the exact position nor momentum of an electron simultaneously – Heisenberg uncertainty principle G. Quantum Mechanical Model of the Atom – Schrodinger and the “Wave” Equation 1. Electrons in an atom can be described by a “wave” equation using 4 quantum numbers that describe the properties of electrons 2. 1st quantum number – describes the average distance from the nucleus or principal energy level (1-7) (n) 3. 2nd quantum number – describes the sublevel (s,p,d, and f) and shape of the cloud (spherical, barbel, cloverleaf, etc) (l) 4. 3rd quantum number – describes the orientation in space and orbital (m) s p d f sublevels – 1 orbital sublevels – 3 orbitals sublevels – 5 orbitals sublevels – 7 orbitals Orbital = space occupied by a pair of electrons 5. 4th quantum number – describes the electron spin rotation (s) positive spin ↑ - clockwise negative spin ↓ - counterclockwise 6. writing electron configurations: 7. writing orbital filling diagrams: 8. writing electron dot diagrams: 9. guiding principles a. Aufbau principle b. Pauli exclusion principle c. Hund’s rule III. Counting Atoms Using the Mole A. Mole = SI unit for the quanitity of particles (abbreviation for “molecule”) 1. One mole of any kind of particles (atoms, molecules, ions, or formula units) contains 6.02 x 10 23 particles (similar to a dozen: 1 dozen = 12 objects) 2. particles: Fe = atoms H2O = molecules (covalent bonds) NaCl = formula units (ionic bonds) Na+, Cl- = ions 3. One particle has a mass in amu’s equivalent to the mass of one mole of particles in grams 1 Fe atom = 55.85 amu (atomic mass) 1 mole of Fe atoms = 55.85g (molar mass) 1 H2O molecule = 18.02amu (molecular mass) 1 mole of H2O molecules = 18.02g (molar mass) 4. Calculating the molecular/molar mass a. molecular mass of CH4 = b. molar mass of Ag = c. formula mass of CuCl2 = B. We can use the mole to “count” particles indirectly by massing them. 1. Why do we need to “count” particles? (because chemicals react with each other in specific proportions based upon the number of particles or moles) 2. 3CuCl2 + 2Al 3Cu + 2AlCl3 3. 2H2 + 1O2 2H2O C. Mole calculations 1. Changing grams to moles 2. Changing moles to grams 3. Changing grams to particles 4. Changing particles to grams 5. Changing moles to particles 6. Changing particles to moles 7. Changing to volume of a gas at STP (Standard temperature and pressure = 1 atm or 101.3kPa, 0 degrees Celsius or 273K) a. 1 mol of any gas occupies 22.4L at STP (molar volume) b. Sample calculations 8. Mole “Road Map” IV. Nuclear stability and radioactivity (Chapter 18) A. Nuclear Stability 1. Not all combinations of protons and neutrons make a stable nucleus (one that remains in tact). a. nucleons = b. nuclides = 2. The strong nuclear force holds the nucleus together by overcoming the “repulsion” force of like charges. 3. Atoms that contain more or less neutrons than the number of protons become less stable and begin to emit radiation. a. small atoms with an equal number of protons and neutrons are stable!!! b. Larger atoms with an unequal number of protons and neutrons are unstable c. Uranium – unstable and radioactive, last “naturally occurring” element 4. Forms of radioactivity: a. alpha particles (stopped by a piece of paper or your skin) b. beta particles (stopped by several sheets of aluminum foil) c. gamma radiation (stopped by a thick sheet of lead!) 5. Writing nuclear decay equations: B. Nuclear reactions (Fission vs Fusion) – Chapter 18 1. Fission = splitting heavy atoms to produce smaller ones 2. Fusion = combining smaller atoms to make heavier ones 3. E = mc2 a. nucleons nucleus + energy b. when a nucleus is formed from separate nucleons, the mass of the nucleus is less than the total mass of the nucleons that compose it = mass defect, the nucleus is at a lower energy state than the individual nucleons composing it c. nuclear binding energy = energy released when nucleons come together d. in nuclear reactions, mass may be converted into energy e. even a very small amount of mass converted into energy releases huge amounts of energy f. 1 g of U-235 releases the same amount of energy in fission as burning 7 500 000g of coal. (16,500 lbs)