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1
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2
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3
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4
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5
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- 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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6
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- Sodium vapor lamps - the yellow street lights - emit light with l = 589.2 nm. What is its frequency?
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7
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- 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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8
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- Max Planck
- Blackbody radiation
- Intensity varies with wavelength (red-orange-white)
- Classical physics doesn’t explain
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9
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10
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- 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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11
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- Shine white light through a prism --
rainbow
- A prism separates light of different wavelength, each color represents a different
wavelength.
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12
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- Shine the colored light from our gas discharge tubes through a prism ¾® get distinct bands of color
(light).
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13
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- Energies in atoms are quantized, not continuous.
- Quantized means only certain energies allowed.
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14
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- 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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15
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16
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- 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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17
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- 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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18
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- Calculate the energy of a quantum of blue light with wavelength = 410
nm.
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19
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- 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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20
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- 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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21
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22
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- Calculate the wavelength in nanometers associated with a 0.072 kg golf
ball moving at 30 m/sec?
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23
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24
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25
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26
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27
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28
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29
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- Light behaves like waves --- and particles.
- Particles can behave like waves.
- Energy is quantized.
- ???????
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30
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- 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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31
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- 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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32
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- 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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33
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- · an integer
- · determines energy level of
orbital
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34
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- 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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35
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- · 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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36
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- · 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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37
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- · 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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38
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39
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40
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- · dumbbell shaped
- · three different spatial orientations (ml
=1, 0, -1,)
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41
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- · cloverleaf shaped + one dumbbell in a doughnut
- · five different spatial orientations (ml = 2, 1, 0, -1, -2)
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42
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- · complex shape (8 lobes)
- · seven different spatial orientations (ml = 3, 2, 1, 0,
-1, -2, -3)
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43
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44
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- 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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45
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- 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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46
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- Electrons pair only after each orbital in a subshell is occupied by a
single electron.
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47
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48
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- 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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49
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50
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51
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- Radius decreases as we move across the periodic table to the right.
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52
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53
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54
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- 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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55
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56
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57
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