Unit 10 Electrons in Atoms
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Much of what we know about the atom, has
been determined by the way matter interacts with light. Therefore, in order
for us to gain some insight into the nature of the atom, we need to have a working
understanding of light. For years, there were two competing models
of light. One model, put forth by Isaac Newton, stated that light consists of
tiny particles, called corpuscles. The other model stated that light was a
wave. In 1800, Thomas Young proved that light was a wave by showing that
light could diffract and produce a predicted diffraction pattern after
passing through a double slit. Because light is a wave it has a
wavelength, l and a frequency, f. All waves follow the universal wave equation: speed (c) = l x f |
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Light is a very small part of the
electromagnetic spectrum. Electromagnetic waves are different from sound
waves and other waves because no material is required to transmit electromagnetic radiation. Most of the electromagnetic spectrum is invisible
to the human eye. We can look at an overview of electromagnetic spectrum in the diagram below. |
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The Photoelectric Effect It seemed that Thomas Young’s diffraction
experiment was the last word on the nature of light. Because light can
reflect, refract and diffract, it seemed that the particle model was
completely disproved. In 1900 an experiment called the photoelectric effect
changed our whole understanding of what light was. The photoelectric effect occurs when light
is shined onto a negatively charged metal plate. The prediction before the
experiment was that if the light was bright enough, the energy from the light
would knock the electrons off of the metal plate. The idea was that light
being a wave carries energy just like a water wave. Small waves have little
energy but a tidal wave has lots of energy. Dim light would be like a small
wave and would not have enough energy to eject the electrons from the metal.
Increasing the brightness should increase the energy to the point that
eventually there will be enough energy in the light to knock the electron
free. While this all seems quite reasonable, the light, no matter how bright,
did not eject any electrons. The next step was to see if the color of
light had any effect. White light was broken up into different colors. The
lower frequency red and yellow light had no ability to eject electrons no
matter how bright. At higher frequencies like blue and violet, the electrons
were ejected from the metal. Interestingly enough, even dim blue and violet
light seemed to be able to eject electrons from the metal. It took Albert Einstein nearly 10 years to
develop an explanation for what was actually happening in this experiment.
The explanation changed our whole way of looking at light. Light does have a
particle nature as well as a wave nature. These particles are called photons
and have an energy that is directly related to their frequency. Ephoton = hf Ephoton = energy per photon h = Planck’s constant = 6.63 x 10-34
J*s f = frequency Because f = c/ l , energy can also be calculated in terms of
wavelength Ephoton = h c/ l While this may seem quite abstract, this
model helps explain how matter interacts with light. |
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Absorption and Emission
of Light by Matter When a substance has light passing through
it, some energies of light are absorbed and others are allowed to pass
through. The result is an absorption spectrum. When a substance is heated, it will emit only
certain frequencies (colors) of light.. This is an emission spectrum. The presence of absorption and emission
lines tell us that atoms can only absorb and emit specific energies of light.
Different elements have different absorption and emission spectra. The explanation for why atoms emit or
absorb specific energies is that the electrons are only allowed to be in
certain energy levels. This is the main idea of quantum theory. Electrons can
only have specific amounts of energy. When electrons absorb the right amount
of energy, they can move from a lower to a higher energy level. When they
move from a higher to a lower state, they emit a photon with a specific
amount of energy. This information eventually led to a
modification of |
Electron ConfigurationWhen you
describe where you live, you can be very general to very specific. The more specific,
the easier it is to locate you. For example: Very general
: We can describe
the "location" of the electron similarly using quantum numbers. Very
General: Principle
Quantum Number - Energy level ( n = 1, 2, 3, 4..... ) How
many electrons can go into an energy level? 2n2 |
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Energy
Level (n) |
Maximum Number of
Electrons (2n2) |
Energy |
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1 |
2 |
Lowest |
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2 |
2(2)
2 = 8 |
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3 |
2(3)
2 = 18 |
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4 |
2(4)
2 = 32 |
Higher |
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Second Quantum Number - Energy Sublevel (
l = 0, 1, 2, 3...n-1 ) How
many sublevels are in an energy level? n |
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Energy
level (n) |
Number
of Sublevels |
Sublevels |
Second
Quantum Number |
Number
of Electrons |
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1 |
1 |
1s |
l = 0 |
2 |
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2 |
2 |
2s |
l = 0 |
2 |
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3 |
3 |
3s |
l = 0 |
2 |
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4 |
4 |
4s |
l = 0 |
2 |
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Third Quantum
Number - Orbitals ( m = -l, ....0, ....+l ) How many orbitals are there in a sublevel? |
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Sublevel |
Number
of Orbitals |
Third
Quantum Number (m) |
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s |
1 |
0 |
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p |
3 |
-1 |
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d |
5 |
-2 |
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f |
7 |
-3 |
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The Fourth
Quantum Number - Spin (s) Within an orbital how many electrons can
there be? 2 How do the electrons fill an orbital? One with clockwise spin (+1/2) and one with counterclockwise spin (-1/2). What does this arrangement look like? |
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Electrons fill orbitals from low energy to high
energy. When a sublevel
is filled, the electrons fill the orbital one electron at a time and pair up
only when all the orbitals in that sublevel are filled. Remember, the electrons are actually in an
electron cloud. The s cloud is spherical, the p orbital clouds look like dumb
bells oriented along the x, y and z axes. The drawings above help us
visualize the energy of the electron levels and sublevels. The electron configuration can help us explain why an element
reacts the way it does, why it has a certain oxidation state or several
oxidation states. Orbitals: http://wulff.mit.edu/orbs/ |
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Electron Dot Diagrams Electron dot diagrams are useful because they allow us to
"see" the outer electron configuration of an atom. This helps us
guess how the element will react and what the shape of the resulting molecule
may be. When we draw the electron dot diagram for an element, we include only
the outer electrons. This includes electrons from the s and p sublevels
(orbitals) with the highest quantum number. How do we draw the electron dot diagram for
oxygen? 1) Consult the periodic table and determine the
atomic number for oxygen. 8 2) Draw out the electron configuration of the
element. 1s2 2s2 2p4
3) Identify the sublevels with the largest
principle quantum number and draw the orbital configuration for the electrons
in these sublevels. |
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1s2 |
2s2
2p4 |
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4) Write
the symbol. Place the dots at 12, 3, 6and 9 O'clock, corresponding to the
outer s, px, py and pz orbitals. |