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Periodicity and Atomic Structure
  • Chapter 5
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Light and the Electromagnetic Spectrum
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Wave - A vibrational disturbance which transmits energy.
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Definitions
  • Wavelength (l, Greek lambda) - The distance between identical points on successive waves.
  • Frequency (n, Greek nu) - The number of peaks that pass a given point in a second
    • frequency = cycles/sec = hertz = Hz
  • Speed of light, c = ln - 3.00 x 108 m/sec = 3.00 x 1010 cm/sec
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"Sodium vapor lamps - the..."
  • Sodium vapor lamps - the yellow street lights - emit light with l = 589.2 nm.  What is its frequency?
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"KPBS has a frequency of..."
  • KPBS has a frequency of 89.5 MHz (MHz = 106 cycles/sec).  What is the wavelength of this radiation in meters?
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Planck’s Quantum Theory
  • Max Planck
  • Blackbody radiation


  • Intensity varies with wavelength (red-orange-white)
  • Classical physics doesn’t explain
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Try some more experiments
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Experiment 1
  • Add an elemental gas to a cathode ray tube and get ----- colors
    • Hydrogen (H2) purple blue
    • Neon (Ne) red orange
    • Helium (He) yellow pink
    • Argon (Ar) lavender
    • Xenon (Xe) blue
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Experiment 2
  • Shine white light through a prism --  rainbow


  • A prism separates light of different wavelength, each  color represents a different wavelength.
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Experiment 3
  • Shine the colored light from our gas discharge tubes through a prism ¾® get distinct bands of color (light).
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Quantization of energy
  • Energies in atoms are quantized, not continuous.


  • Quantized means only certain energies allowed.
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Bohr model of the atom
  • Electrons orbit the nucleus like little planets (planetary model) each with its own energy.  Electrons can move from one energy level to another by absorbing or releasing energy.
  • Energy is released as radiant energy or light.
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Quantum of energy
  • the smallest quantity of energy that can be emitted (or absorbed) in the form of electromagnetic radiation.
  • Energy (1 quantum) = hn
  • or energy = n h n
      • n = number of quanta of energy (must be a whole number)
      • h = Planck’s constant = 6.626 x 10-34 J sec
      • n = frequency


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"What is the minimum energy..."
  • What is the minimum energy of a sodium lamp (with l = 5.892 x 10-7 m and n = 5.09 x 1014/sec)?
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"Calculate the energy of a..."
  • Calculate the energy of a quantum of blue light with wavelength = 410 nm.
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Photoelectric Effect
  • Observation -
  • Electrons can be ejected from some metals when they are exposed to light.
  • Is light behaving like a particle which can bounce electrons out of atoms?


  • Light can behave as both a wave and a particle and energy is quantized the same either way.
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"If a light with a..."
  • If a light with a wavelength of 200 nm shines on sodium atoms with an ionization energy of 496 kJ/mol, what will be the speed of the electrons emitted?
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deBroglie
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deBroglie Wavelength
  • Calculate the wavelength in nanometers associated with a 0.072 kg golf ball moving at 30 m/sec?


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Quantized Energy
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Energy Levels for H


  • where n in an integer.


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What Next?
  • Light behaves like waves --- and particles.
  • Particles can behave like waves.
  • Energy is quantized.
  • ???????
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Heisenberg Uncertainty Principle
  • The first thing we would like to learn about electrons is where they are and how they travel.
  • Heisenberg Uncertainty principle says this is impossible.
  • (Dx)(Dmv)  ³  h/4p (»10-34 kg m2/sec)


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Schrodinger’s quantum mechanical model of the atom
  •  Ey  =  Hy


  • y is the wave function or orbital
  • y2 (probability function) represents the probability of finding an electron at any given position in an atom.
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Quantum Numbers
  • The behavior of an electron is described mathematically by Schrodinger’s wave equation and each orbital contains as set of three variables called quantum numbers.


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The principal quantum number (n) --
  • ·        an integer
  • ·        determines energy level of orbital
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Angular momentum quantum number (l)--
  •    equal to (n-1) to 0
  • so for n = 1, l = 0
  • for n = 2, l = 0, or 1
  • for n = 3, l = 0, 1, or 2
  • ·        determines type of subshell of an electron
  • quantum number subshell type
  •   0 s
  •   1 p
  •   2 d
  •   3 f
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Magnetic quantum number (ml)
  • ·   equal to -l to +l in integer increments
  • ·   identifies number of orbitals within a sublevel
  • describes spatial orientation orbitals within a sublevel
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Spin quantum number (ms)
  • ·  equal to +1/2 or -1/2


  • ·  necessary because each orbital contains 2 electrons and each electron needs its own space.
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s orbitals
  • ·  spherical in shape
  • ·  one spatial orientation  (ml = 0)
  • ·  contain nodes as move to higher quantum levels (nodes are places probability of finding an electron goes to zero)
  • ·  makes sense if we look at electrons as waves, waves have nodes.
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p orbitals
  • ·   dumbbell shaped
  • ·   three different spatial orientations (ml =1, 0, -1,)
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d orbitals
  • · cloverleaf shaped + one dumbbell in a doughnut
  • · five different spatial orientations (ml = 2, 1, 0, -1, -2)
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f orbitals
  • · complex shape (8 lobes)
  • · seven different spatial orientations (ml = 3, 2, 1, 0, -1, -2, -3)
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Electronic Energy Levels
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Electronic configuration of the atoms
  • 1.  Lowest energy orbitals are filled first.


  • 2.  Only 2 electrons (of different spin) allowed in each orbital.


  • 3.  When sublevels are filling, fill each orbital with 1 electron of same spin  and then pair openly when necessary.
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Pauli Exclusion Principle
  • No more than two electrons can be assigned the same four quantum numbers.


  • This means that no more than 2 electrons may occupy the same orbital.
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Hund’s Rule
  • Electrons pair only after each orbital in a subshell is occupied by a single electron.
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Electronic Configuration of the Ions
  • Cations - Electrons are removed from the highest energy occupied orbital


  • Anions - Electrons are added to the lowest energy unoccupied orbital


  • For transition metals -- The highest ns electrons are removed first (even though they are not the last added)


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Effective nuclear charge
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Atomic Radii
  • Radius decreases as we move across the periodic table to the right.
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Ionic Radii
  • Cations -- radius decreases due to an increase in Zeffective



  • Anions -- radius increases due to crowding of more electrons into a shell


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