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5.4b MO 2p Sigma | General Chemistry | YouTubeToText
YouTube Transcript: 5.4b MO 2p Sigma
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then what do we do about our 2p
and so we have a couple of different
kinds of 2p orbitals
and we can kind of think about them as
the p orbitals that
are along the bond themselves we already
know from valence bond theory that we
can form some sort of bonding interactions
interactions
and we're gonna define this you know as
one of the directions of the pe orbitals
so what does this look like in molecular
orbital theory
so we can start off with one of the two
p's that we have
on each one of the sides and i'm just
going to pick this one and remember
they're all degenerate
with each other and we're going to think
about what happens
if if we look at the signs of them so
remember on each side of the p
orbital one side has positive wave character
character
the other side has negative wave
character what happens if we combine
that over here with something that has
negative wave character
over here and we have positive wave character
character
uh on there so if we do that we end up
getting this kind of interaction
remember the center of the atom is in there
there
on the two sides we're going to just
bring them closer together
and then if we have both sides as the
same wave character
we get some sort of constructive interference
interference
so we end up getting something that
looks like
this over here you get lots of electron
density along
the bond itself and then the other side
so remember these are just opposite wave
characters of each other
it was just arbitrary that i chose the
center to be negative
so we're going to call this uh once
again we have lots of electron density
in the center here
so with this is definitely a sigma bond
based on our definition
so this is going to be our sigma bond
from the 2p
orbital and as a reminder this is just a sim
sim
very similar to what we get down here in
terms of the s orbital we get a sigma
bond with lots of electron density over here
here
and in here we get no electron density
so that's our anti bonding
so these are our sigma 2s down here
now we have a sigma 2p so we can draw
our correlation line
uh to that and then it was arbitrary
that i chose that this one
was positive and negative so we could
have actually had
where we have a positive interaction
wave character
positive wave character over here and
negative wave character over there
so if we try to just to cover um combine
this side with this side
we have opposite wave characters so we
should get cancellation
of our electron density so that's going to
to
create an anti-bonding orbital just like
what we saw in the s
orbitals except the shape is going to be
drawn differently
so we know that this is in higher energy level
level
what we ended up doing over there is we
took this
uh orbital we have
minus wave character over here plus wave character
character
and we brought the other atom close
there this side has
positive wave character this side the p
orbital has negative wave character
and so we end up getting a cancellation
of our orbitals
so our cancellation of our orbitals will
actually leave lots of
wave character on this side lots of wave character
character
on this side and then we get a whole
bunch of cancellation
of wave character so we end up having an
anti-bonding interaction so we are going
to call this one
sigma star and we're going to indicate
that it came from the 2p
just to differentiate between the
uh the sigma star the 2s so if you were
to typically use a
another picture just what this kind of
looks like you know this is what this
actually looks like over here
uh drawn a little bit more nicely uh on
there but it's exactly the same thing
that we saw
um with our hand sketch orbital and this
is our anti-bonding
2s 2p orbital and then we get this kind
of a picture
for this so we can have these nice
little pictures just to give you an idea
of what's happening
in the anti-bonding sigma
2p and also the bonding
uh sigma 2p and we can draw in the
correlation lines
for each one of the sides that comes
from those
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