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AP Chem: SAP‑4 (EU), SAP‑4.C (LO), SAP‑4.C.1 (EK), SAP‑4.C.2 (EK)

In the previous video,
we used VSEPR theory for 5 electron clouds. In this video, we're just
going to do a few more examples of 5 electron clouds. So let's say we want to find the
shape of chlorine trifluoride. We start by drawing a
dot structure, which means we have to figure
out the valence electrons. So for chlorine in group 7,
therefore, 7 valence electrons. Fluorine is in group 7,
and we have 3 fluorines. So 7 times 3 is
21, plus 7 means we have a total of 28
valence electrons that we need to show
in our dot structure. Chlorine's going
to go in the center since it is not as
electronegative as fluorine. And we know that the chlorine
is bonded to 3 fluorines, so we can go ahead and put
it in our 3 fluorines in here like that. We have represented 2, 4, and
6 valence electrons so far. So 28 minus 6 means we have
22 valence electrons left. And we know we start by
putting those leftover valence electrons on our terminal
atoms, which are our fluorine. Fluorine is going to
follow the octet rule, and each fluorine already
has 2 electrons around it, and so therefore, each
fluorine needs 6 more. So when we put 6 more valence
electrons around each fluorine, now each fluorine has an octet. We just represented 6 times 3
more valence electrons, so 6 times 3 is 18, and
22 minus 18 is 4. So we're left with
4 valence electrons. And when you have
leftover valence electrons after assigning them
to your terminal atoms, you're going to give them
to your central atoms. So we're going to assign
4 valence electrons to our central atom,
and it makes sense to put those in lone pairs. So there's one lone
pair, and there's another lone pair
on the chlorine. And so now that takes care of
all of our valence electrons. In terms of looking
at the dot structure and thinking about
chlorine there, it actually is exceeding
the octet rule. And that's OK for chlorine to
exceed the octet rule, because of its position in the third
period on the periodic table. I like to think
about formal charge. So if you actually assign a
formal charge to that chlorine, you'll see it has a formal
charge of 0, which to me just helps me understand these dot
structures a little bit more. And so we've drawn a dot
structure that makes sense, and so we can move on now
to the second step, which is where we count the
number of electron clouds that surround our central atom. So remember, electron
clouds are regions of electron density, which means
that bonding and non-bonding electrons would fit
into that category. So here we have a
bonding pair of electrons occupying an electron cloud. Here's another bonding pair of
electrons in an electron cloud. Here's another one. And then we have our
lone pairs of electrons. Our non-bonding
electrons are still regions of electron density, and
so there is an electron cloud, and then our last
lone pair there. So a total of 5 electron clouds
surrounding our central atom. In step 3, you
predict the geometry of those electron clouds
around your central atom. And in the previous video,
we used VSEPR theory to talk about why 5
electron clouds are going to form a trigonal
bipyramidal geometry. So they're going to repel each
other as much as they possibly can. It turns out that's a trigonal
bipyramidal geometry here. So our electron clouds are
going to be in the same geometry here. So the only tricky part
for this dot structure is where do you put your
lone pairs of electrons? Lone pairs of electrons
take up more space. These non-bonding lone
pairs of electrons take up more space
than bonding electrons, and therefore,
they repel more, so where you put them is
extremely important for the overall structure
of the molecule. In the last video, we talked in
a lot of detail about the fact that you're going to put
non-bonding electrons, or lone pairs of electrons,
in the equatorial position to minimize electron
pair repulsion. And so we're going to
do the same thing here. We're going to put our lone
pairs of electrons equatorial. So let me go ahead and put
in my central chlorine atom. I'm going to put a lone pair
of electrons in the equatorial here, and then the other
lone pair of electrons also equatorial right here. And that means that
I have one more spot. I'm going to put
one of the fluorines in the last equatorial position. And so that leaves
2 more fluorines, which we're going to put axial,
so one fluorine axial here and one fluorine axial here. Again, putting your
lone pairs equatorial minimizes electron
pair repulsion, and watch the previous video
for more details about that. This is actually a more
complicated example than what I talk about
in the previous video, but the same ideas
apply here as well. I could probably spend a
whole video talking about just this one molecule, but we don't
really have time for that. So when you're talking
about 5 electron clouds, just think about
putting your lone pairs in the equatorial position. And so now we have the
general structure here. Let's go ahead and talk
about the final shape. So when you're talking
about the final shape, you ignore any
lone pairs, and you predict the geometry
of the molecule here. So if we ignore lone pairs, let
me go ahead and redraw that. So we're going to go ahead
and put in our chlorine here. So there's our chlorine. We ignore lone pairs. So we have our 2
axial fluorines, and then we have our
equatorial fluorine 90 degrees to our axial fluorines. And so-- well, that's of
course, an ideal bond angle. So let's talk about
the bond angles here. So if you look at
the shape, so it looks kind of like
these are linear here, and then this is
90 degrees to that, so you can see kind
of a T-shape here. And so we actually call
this molecule, the shape, T-shaped, right? Because we're ignoring the
lone pair of electrons, and so we see a
T-shape right here, so this is a T-shaped geometry. In terms of the ideal bond
angles, since it is T-shaped, it makes it simple. So you could think about
for your bond angles, this one you would expect
to find a 90-degree bond angle for the
fluorine-chlorine-fluorine bond angle here, and then 180
degrees on this side. But once again, those are
just ideal bond angles. That's what you would
predict thinking about a simple T-shape. The actual bond
angles you would have to get to experimentally,
so T-shaped geometry here. All right. Let's do one more example
of 5 electron clouds. So this is the triiodide ion, so
I3 with a negative charge here. So we need to draw
the dot structures, and we need the
valence electrons. Iodine's in group
7, so 7 times 3 gives us 21 valence electrons. But this is an ion, so
it has a negative charge. It has an extra electron,
so we have to add 1 to that. So 21 plus 1 gives us a
total of 22 valence electrons to show in our dot structure. So we have 3 iodines, so we can
go ahead and show our 3 iodines bonded together like that. And we've already represented
4 valence electrons, so 2 here and 2 here. So 22 minus 4 means we have
18 valence electrons left. And we start by putting those
leftover valence electrons on our terminal atoms,
which are our iodines. So we're going to think
about our terminal atoms as following the octet rule. Here, and so we're going to put
6 more electrons on each iodine to give each iodine an octet. And so I just represented
12 more valence electrons, so 18 minus 12 gives us 6
valence electrons left over. And those leftover
electrons are, of course, going to be assigned
to our central atom. And so with 6 valence
electrons, you would expect 3 lone
pairs of electrons. So let's go ahead and put
those last 6 valence electrons around our central iodine
in the form of 3 lone pairs. And since this is an ion, we
should put this in brackets and put a negative 1
charge outside like that. So this is our dot structure. And if we look at
our central iodine, it's once again
exceeding our octet. So it's once again OK for iodine
to expand its valence shell, because of its position
on the periodic table. And if you assign a formal
charge to that iodine, you'll see it's a negative
1 formal charge, which, once again, I always
like to do just to help me understand what's
going on a little bit better here. So this is a dot
structure that makes sense, that follows
all of our rules. And so let's go back up
here to our next step. So number 1, we've already
drawn a dot structure to show our valence electrons. In step 2, we count the
number of electron clouds that surround our central atom. So let's go ahead and
look at our central atom and figure out how many
electron clouds surround it. So these bonding electrons
are an electron cloud. These bonding electrons
are an electron cloud. And our non-bonding electrons,
our lone pairs of electrons, are still regions
of electron density. And so you can see we
have a total of 5 electron clouds for this structure, too. So for 5 electron
clouds, that's going to be a trigonal bipyramidal
arrangement of our electron clouds around our central atom. So go ahead and put in
our central atom here. We think about our
electron clouds being in a trigonal
bipyramidal arrangement. And we have seen that we
put lone pairs of electrons into the equatorial positions
to minimize electron pair repulsion. So we have 3 lone
pairs of electrons that surround our
central iodine. So we're going to put those
3 lone pairs equatorial. So we have our 3 lone pairs
of electrons and equatorial like that, and then we
still have 2 iodines. And so one iodine would
have to go axial up here. And the same thing for the
other iodine down here. And so I'll just leave off
the lone pairs of electrons. And so this is what
our ion looks like. Let's go back up
here to our steps. And let's look at-- let's see,
we've already done step 3. We predicted the
geometry of the electron clouds to be
trigonal bipyramidal. But when you're
trying to predict the geometry of, in
this case, the ion, you ignore any lone
pairs of electrons. So let's go back down
and look at it again. And so we're going to ignore
the lone pairs of electrons around the central atom. And when we do that,
we look for the shape. And we can see the shape
is just a straight line, so we say it's a linear shape. So this is a linear shape,
and since it's linear, we would predict the bond angle
to be approximately 180 degrees since it's a straight line. And so that's the
way to approach drawing this dot structure. And so we've done four
examples of 5 electron clouds. And each example has
been slightly different in terms of the number of lone
pairs around the central atom.

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