Bonding Strategy of Complex molecules
We
can tell which is the cis and which the trans form just by looking at them.
All we really have to remember is that trans means "across" (as in
transatlantic or transcontinental) and that cis is the opposite. It is a
simple and visual way of telling the two isomers apart. So why do we need another
system?
There
are problems as compounds get more complicated. For example, could we name
these two isomers using cis and trans?
Because
everything attached to the carbon-carbon double bond is different, there
aren't any obvious things which we can think of as being "cis" or
"trans" to each other. The E-Z system gets around this problem
completely - but unfortunately makes things slightly more difficult for the
simple examples we usually meet in introductory courses.
How the E-Z system works
We'll
use the last two compounds as an example to explain how the system works.We
look at what is attached to each end of the double bond in turn, and give the
two groups a "priority" according to a set of rules which we'll
explore in a minute.
In
the example above, at the left-hand end of the bond, it turns out that
bromine has a higher priority than fluorine. And on the right-hand end, it turns
out that chlorine has a higher priority than hydrogen.
If
the two groups with the higher priorities are on the same side of the double
bond, that is described as the (Z)- isomer. So we would write it as (Z)-name
of compound. The symbol Z comes from a German word (zusammen) which means
together.
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If
the two groups with the higher priorities are on opposite sides of the double
bond, then this is the (E)- isomer. E comes from the German entgegen which
means opposite.
So
the two isomers are:
Summary
(E)-
: the higher priority groups are on opposite sides of the double bond.
(Z)-
: the higher priority groups are on the same side of the double bond.
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Note: Three possible
suggestions for remembering this:
E is for
"Enemies", which are on opposite sides.
We don't, of
course, need a way of remembering the Z as well - it's just the other way
around from E.
In Z isomers,
the higher priority groups are on zee zame zide. That works best
if we imagine we are an American speaking with a stage German accent!
This is the way
I remembered it when I first came across E-Z notation. It is more visual than
the other methods.
It relies on
the fact that the shapes of E and Z isomers are the opposite of the shapes of
the letters E and Z.
In the letter
E, the horizontal strokes are all on the same side; in the E
isomer, the higher priority groups are on opposite sides. In
the letter Z, the horizontal strokes are on opposite sides;
in the Z isomer, the groups are on the same side.
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Rules for determining priorities
These
are known as Cahn-Ingold-Prelog (CIP) rules after the people who developed
the system.
The first rule for very simple cases
We
look first at the atoms attached directly to the carbon atoms at each end of
the double bond - thinking about the two ends separately.
The
atom which has the higher atomic number is given the higher priority.
Let's
look at the example we've been talking about.
Just
consider the first isomer - and look separately at the left-hand and then the
right-hand carbon atom. Compare the atomic numbers of the attached atoms to
work out the various priorities.
It
is observed that the atoms with the
higher priorities are both on the same side of the double bond. That counts
as the (Z)- isomer.
The
second isomer obviously still has the same atoms at each end, but this time
the higher priority atoms are on opposite sides of the double bond. That's
the (E)- isomer.
What
about the more familiar examples like 1,2-dichloroethene or but-2-ene? Here's
1,2-dichloroethene.
Think
about the priority of the two groups on the first carbon of the left-hand
isomer.
Chlorine
has a higher atomic number than hydrogen, and so has the higher priority.
That, of course, is equally true of all the other carbon atoms in these two
isomers.
In
the first isomer, the higher priority groups are on opposite sides of the
bond. That must be the (E)- isomer. The other one, with the higher priority
groups on the same side, is the (Z)- isomer.
And
now but-2-ene . . .
This
adds the slight complication that we haven't got a single atom attached to
the double bond, but a group of atoms.
That
isn't a problem. Concentrate on the atom directly attached to the double bond - in this case the
carbon in the CH3 group. For this simple case, we can ignore
the hydrogen atoms in the CH3 group entirely. However, with
more complicated groups we may have to worry about atoms not
directly attached to the double bond. Here is one of the isomers of
but-2-ene:
The
CH3 group has the higher priority because its carbon atom has
an atomic number of 6 compared with an atomic number of 1 for the hydrogen
also attached to the carbon-carbon double bond.
The
isomer drawn above has the two higher priority groups on opposite sides of
the double bond. The compound is (E)-but-2-ene.
A minor addition to the rule to allow for isotopes
of, for example, hydrogen
Deuterium
is an isotope of hydrogen having a relative atomic mass of 2. It still has
only 1 proton, and so still has an atomic number of 1. However, it isn't the
same as an atom of "ordinary" hydrogen, and so these two compounds
are geometric isomers:
The
hydrogen and deuterium have the same atomic number - so on that basis, they
would have the same priority. In a case like that, the one with the higher
relative atomic mass has the higher priority. So in these isomers, the
deuterium and chlorine are the higher priority groups on each end of the
double bond.
That
means that the left-hand isomer in the last diagram is the (E)- form, and the
right-hand one the (Z)-.
Extending the rules to more complicated molecules
If we
are reading this because we are doing a course for 16 - 18 year olds such as
UK A level, we may well not need to know much about this section, but it
really isn't very difficult!
Let's
illustrate this by taking a fairly scary-looking molecule, and seeing how
easy it is to find out whether it is a (Z)- or (E)- isomer by applying an
extra rule.
Focus
on the left-hand end of the molecule. What is attached directly to
the carbon-carbon double bond?
In
both of the attached groups, a carbon atom is attached directly to the bond.
Those two atoms obviously have the same atomic number and therefore the same
priority. So that doesn't help.
In
this sort of case, we now look at what is attached directly to
those two carbons (but without counting the carbon of the double bond) and
compare the priorities of these next lot of atoms.
We
can do this in wer head in simple cases, but it is sometimes useful to write
the attached atoms down, listing them with the highest priority atom first.
It makes them easier to compare. Like this . . .
In
the CH3 group:
The
atoms attached to the carbon are H H H.
In
the CH3CH2 group:
The
atoms attached directly to the carbon of the CH2 group are C
H H.
In
the second list, the C is written first because it has the highest atomic
number.
Now
compare the two lists atom by atom. The first atom in each list is an H in
the CH3 group and a C in the CH3CH2 group.
The carbon has the higher priority because it has the higher atomic number.
So that gives the CH3CH2 group a higher priority
than the CH3 group.
Now
look at the other end of the double bond. The extra thing that this
illustrates is that if we have a double bond, we count the attached atom
twice. Here is the structure again.
So,
again, the atoms attached directly to the carbon-carbon double bond are both
carbons. We therefore need to look at what is attached to those carbons.
In
the CH2OH group:
The
atoms attached directly to the carbon are O H H.
In
the CHO group:
The
atoms attached directly to the carbon are O O H. Remember that the oxygen is
counted twice because of the carbon-oxygen double bond.
In
both lists, the oxygens are written first because they have a higher atomic
number than hydrogen.
So,
what is the priority of the two groups? The first atom in both lists is an
oxygen - that doesn't help. Look at the next atom in both lists. In the CH2OH
group, that's a hydrogen; in the CHO list, it's an oxygen.
The
oxygen has the higher priority - and that gives the CHO group a higher
priority than the CH2OH group.
The
isomer is therefore a (Z)- form, because the two higher priority groups (the
CH3CH2 group and the CHO group) are both on the
same side of the bond.
That's
been a fairly long-winded explanation just to make clear how it works. With a
bit of practice, it takes a few seconds to work out in any but the most
complex cases.
One
more example to make a couple of additional minor points . . .
Here's
an even more complicated molecule!
Before
we read on, have a go at working out the relative priorities of the two
groups on the left-hand end of the double bond, and the two on the right-hand
end. There's another bit of rule that I haven't specifically told we yet, but
it isn't hard to guess what it might be when we start to look at the problem.
If we can work this out, then we won't have any difficulty with any problem we
are likely to come across at this level.
Look
first at the left-hand groups.
In
both the top and bottom groups, we have a CH2 group attached
directly to the carbon-carbon double bond, and the carbon in that CH2 group
is also attached to another carbon atom. In each case, the list will read C H
H.
There
is no difference between the priorities of those groups, so what are we going
to do about it? The answer is to move out along the chain to the next group.
And if necessary, continue to do this until we have found a difference.
Next
along the chain at the top left of the molecule is another CH2 group
attached to a further carbon atom. The list for this group is again C H H.
But
the next group along the chain at the bottom left is a CH group attached to
two more carbon atoms. Its list is therefore C C H.
Comparing
these lists atom by atom, leads we to the fact that the bottom group has the
higher priority.
Now
look at the right-hand groups. Here is the molecule again:
The
top right group has C H H attached to the first carbon in the chain.
The
bottom right one has Cl H H.
The
chlorine has a higher atomic number than carbon, and so the bottom right
group has the higher priority of these two groups.
The
extra point I am trying to make with this bit of the example is that we must
just focus on one bit of a chain at a time. We never get around to
considering the bromine at the extreme top right of the molecule. We don't
need to go out that far along the chain - we work out one link at a time
until we find a difference. Anything beyond that is irrelevant.
For
the record, this molecule is a (Z)- isomer because the higher priority groups
at each end are on the same side of the double bond.
Can we easily translate cis- and trans- into (Z)-
and (E)-?
We
might think that for simple cases, cis- will just convert into (Z)- and
trans- into (E)-.
Look
for example at the 1,2-dichloroethene and but-2-ene cases.
But
it doesn't always work! Think about this relatively uncomplicated molecule .
. .
This
is clearly a cis- isomer. It has two CH3 groups on the same
side of the double bond. But work out the priorities on the right-hand end of
the double bond.
The
two directly attached atoms are carbon and bromine. Bromine has the higher
atomic number and so has the higher priority on that end. At the other end,
the CH3 group has the higher priority.
That
means that the two higher priority groups are on opposite sides of the double
bond, and so this is an (E)- isomer - NOT a (Z)-.
Never
assume that we can convert directly from one of these systems into the other.
The only safe thing to do is to start from scratch in each case.
Does
it matter that the two systems will sometimes give different results? No! The
purpose of both systems is to enable we to decode a name and write a correct
formula. Properly used, both systems will do this for we - although the
cis-trans system will only work for very straightforward molecules.
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