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Chapter 4.4b Drawing Lewis Structures
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welcome to the second video for chapter 4
4
section 4 drawing lewis symbols and structures
structures
in this video we'll be focusing on the
step-by-step process to actually draw
lewis structures which depend the
bonding in simple molecules if you've
already got some practice with lewis structures
structures
you will probably be tempted to skip
some of these steps
but i really recommend that you focus on
developing a really solid foundation
with lewis structures
and especially if you've never done
these before or if or if you haven't
done them in a long time this is a
really great review and it's really good
time to focus on the
basics of lewis structures once you get
the hang of it and get your feet under a
little bit
you may be able to start taking some
shortcuts but until you're really really
confident with your lewis structures i
really recommend that you
focus on your foundations and um and
really work through these
this set of of simple steps
i'm going to be showing you these steps
in the context of the formate ion
which is this guy here ch02 minus
just to give you a little bit of context
i think it helps to sort of illustrate
the steps
the first step that you're going to want
to do when you sit down to draw a lewis
structure is calculate the number
of valence electrons in the molecule or ion
ion
essentially we need to know how many
electrons we're working with so that we
can figure out how to distribute them
so we'll do this in uh by looking at the
periodic table so first we'll write down
how many
uh elements or how many atoms of each
type we'll have so we have one carbon
we've got one hydrogen and we've got two
oxygen ions and then plus we just have a
random electron from this
minus charge here so we can go over to
the periodic table
and figure out how many electrons how
many valence electrons each of these
have so i'm using ptable.com because i
think it's a great uh periodic table
uh so if we look here if we look first
at carbon we'll see that we don't
again we don't care about the core
electrons when we're drawing lewis
structures we only care about the
valence electrons
so we're going to be looking for carbon
in the second electron level or
yeah the second level and the second row
when we'll be thinking about
how many electrons it has it's got two
in the s
and it has two in the p so that's going
to be four total
so we'll go ahead and write down this is
going to get us one
molecule times four electrons or one
atom times four electrons is going to be
uh four electrons then we've got hydrogen
hydrogen
we can look that up as well but we also
can remember that hydrogen has one
valence electron it has one total
electron uh so this is going to
contribute one electron to our molecule
and then next we'll go over and look at
oxygen here we've got two of these guys
so whatever number we come up with from
the periodic table we need to multiply
by two
so we'll go and look for oxygen oxygen
is here in the second row
it has two s electrons and it has four
p electrons and so we'll be looking at
six valence electrons for oxygen and
we'll multiply that by 2 and it's going to
to
get us 12 electrons here
and then we have one random electron
which we just need to add
to our total because we have our anion
this is really important if you have a
cation or an anion don't forget to add
or subtract the amount of electrons that
you've got
if you have a neutral molecule it's
easier you don't have to add or subtract
any electrons because
um you don't have any uh so
here is our total electron count if we
add all of these up we will find that we
have 18 total valence electrons
that we can be working with as we're
drawing the structure
again valence electrons are the
electrons that are involved in bonding
um they're the ones that are going to be shared
shared
by covalent molecules or transferred
during the formation of an ionic compound
compound
we're not going to look at the core
molecule the core of electrons because
core electrons are not involved
in uh bonding all right so now that
we've got our total number of valence electrons
electrons
we can start to figure out what this
thing is going to look like
so we need to draw a skeleton structure
um and what that means is we're going to
just sort of try to arrange our atoms
uh in some kind of rational way
and uh and then we're going to figure
out how how exactly everything is connected
connected
so some sort of hints here the least
electronegative atom should be central
so again we're dealing with this
molecule ch02
minus so we can think about which of
these is going to be the least
electronegative technically it's hydrogen
hydrogen
but hydrogen is not ever going to be a
central atom hydrogen can only ever make
one bond
so we are going to ignore hydrogen um
and so here we're looking at the
the the battle is between carbon or
oxygen to be our central molecule
or our central atom and we're going to
choose carbon because it is less electronegative
electronegative
than oxygen so we'll go ahead and stick
carbon in the middle of what's going to
be our skeleton
structure and then we will connect
everybody else to this carbon
using single bonds to start off with so
i'll just draw my hydrogen and then i
will draw an oxygen and then i will draw another
another
oxygen all right and at this point we're
going to need to do some electron math
so i'm going to just work on my electron tally
tally
so i started out with 18 total valence electrons
electrons
and now i need to subtract out how many
i have used up
when i was making my skeleton structure
so each single
bond is two electrons i've got three
single bonds so i've got two
four six electrons used up
in my skeleton structure that means i
have 12 electrons left
to distribute
all right so the next thing that i'm
going to do is distribute the remaining electron
electron
uh around um around the outer
uh the non-central atoms to complete the
octets so
uh what i like to do is figure out if i
have how many electrons i've got left i
like to figure out how many lone pairs
that translates to because it's easier
for me to count in ones
rather than counting in twos um but you
figure out your favorite method
so i've got 12 electrons that contrib
that that means i've got six
lone pairs which are the uh again those
little dots that aren't involved
in uh in bonding so i'm going to
start by distributing those around the
non-central or the terminal atoms
and again that's because i put the more
electronegative atoms at the ends of the
bond rather than the central so i'm
going to start by giving the electrons
to the more electronegative atom
as that's where they're likely to wind
up anyway and then if i have leftovers
then i will give them to any central atoms
atoms
again hydrogen here hydrogen actually
does not
get an octet um it only ever has
two electrons max because it doesn't
have a p orbital
at all it only has the 1s orbital it
only has s orbitals available and so it
can't actually
uh make more than one bond all right so
we're going to start off with these six
lone pairs and we're going to give them
to the oxygens
so one two three
four five six i am out of electrons so i
have to stop
so uh and then i should i'm just gonna
double check my electron count so i have
one two
three four five six seven eight nine
uh pairs of electrons total which is 18
which is what i started with so life is good
good
all right so now i have done step three
which is distribute the electrons around
the terminal ions
or sorry terminal atoms to fulfill the octets
octets
and then step four is to distribute any remaining
remaining
electrons as lone pairs around the
central atom here i'm done
i'm out of electrons i do not have any
more to distribute so
i'm going to just skip this step and
then the last thing that i'm going to do
is step five so i'm going to check the octets
octets
i'm going to redistribute any lone pairs
as double or triple bonds to
the central atom if i need so again i'm
going to check the octets
i will do this in green so i'm looking
at my oxygens
check right two four six eight oxygen
two four six
eight check hydrogen two
check carbon two four six so i
am missing some electrons here i do not
have a full octet
and i'm going to deal with this by
redistributing some lone pairs from my
terminal atoms
to uh as as double or triple bonds until
i have
all my f fulfilled so i'm going to go
ahead and take one of these
and switch it down to a bond
so let me go ahead and just make that
change i'm going to erase that lone pair
and then i'm going to draw it in as a
double bond
it doesn't matter which one i take it
from uh you would generally start with
the less electronegative
central or terminal atom if you have a
choice but we don't hear they're both oxygens
oxygens
so let's go ahead and check my octets
again i didn't change this guy i didn't
change the hydrogen
two four six eight oxygen is still good and
and
carbon two four six eight carbon is now fulfilled
fulfilled
so um this is my structure with one exception
exception
uh this is an anion so i'm going to just
get rid of some of my extra notations
and the last thing that i need to do
here is put this whole thing in brackets
and add a negative sign this is really important
important
um if you don't put the brackets and you
don't put the negative then your
electron count is off by one
because um this this negative tells you
that you have an extra electron in here from
from
a different molecule or uh ion
and you can't form the structure this
way without this negative charge it's
really important to always put your ions
in brackets all right so that is the
structure of the formate anion
i'm going to move on and do some
examples but now is a really good time
to pause the video and try these on your
own so i'll just give you a second to
look at the examples that i'm going to do
do
i'm going to work on ammonium i'm going
to work on ethylene and then i'm going
to work on
cyanide so take a minute and try to work
these out on your own
and then come back and i will show you
all right so we're going to start out
with ammonium
uh so ammonium we're going to just do
all these really systematically we're
going to walk through the first
the steps so the first step is always
going to be calculate your valence electrons
electrons
so if i look on my periodic table i will
find that nitrogen has five valence electrons
electrons
and i've got one nitrogen uh hydrogen has
has
four uh sorry there's four hydrogens
but each of them has one valence
electron so i'll multiply that number by four
four
so this is the number of valence
electrons and then i multiply by four
and then i have a plus charge so this
means that this whole structure has lost
one electron so i actually need to
subtract one electron to get my final
electron count and so when i do this
math very carefully i will find that my
structure is going to have eight electrons
electrons
total all right so step two is to start drawing
drawing
my skeleton and i will do that by
putting the
uh any central atom that can be central
in the middle uh or the least electronegative
electronegative
atom that can be central in the middle
uh hydrogen again cannot be central
because it can only ever make one bond
so i'm stuck here with nitrogen
so i'll put my nitrogen in the middle
and then i will connect everybody else
to the nitrogen
all right so that is step two i need to
do some
electron mass at this point and keep
track of how many electrons i've used up
um so i will go ahead and do this in red
so i have used up two four
six eight electrons i need to subtract
eight electrons
and well i'm out of electrons um
i'm just going to go ahead and walk
through the uh just talk you through the
last three steps just to
for completeness but i'm out of
electrons i can't really do anything here
here
um so the next step is to distribute any
remaining electrons on
external the terminal ions are terminal
atoms i don't have any electrons and
also hydrogen can't take any more
anyway step four is to add any leftover
electrons to the central atom i'm still
out of electrons and then step five
is to check the octets and rearrange as
necessary so here i will check the octets
octets
um hydrogen doesn't get on octet it gets
a duet so i will
check all these guys off because they
each have two electrons
as they are sharing two electrons with
that central nitrogen
and then nitrogen two four six eight
it's got an octet
life is good so my last step uh
anytime i have an ion my last step is to
put that guy in
brackets and apply the appropriate charge
charge
so i will do that so that is the
structure for the ammonium
cation all right and then we will move
on to ethylene
so again first step is to count the
number of valence electrons here i have
carbon carbon has four valence electrons
i've got two carbons so i'll multiply
that by two
and then i have four hydrogens each
hydrogen has one
valence electron and i will multiply
that by four so when i do
my careful addition i will find out that this
this
structure has 12 electrons in it
all right so step two is to sketch this out
out
uh using a a skeleton structure with the
least electronegative atom in the center
here i've got
some hydrogens and i've got some carbons
hydrogen can never be central so i'm
going to go with carbon
uh i have two carbons here which is kind
of interesting and so
i'm going to go ahead and either i can
pick one of them to be central or
i can make a guess that there's probably
some symmetry here and go ahead and
attach those guys and they're gonna sort of
of
share the the duty of being the central atom
atom
um when you when you work on this if you
started out with a different
arrangement you would figure out pretty
quickly that you have to put the two
carbons in the middle
um so i'll go ahead and put the
because that's our skeleton structure
and then i'm going to do
my math my bookkeeping so i will just
count up how many elections i've used
i've used one two three
four five pairs which is 10 electrons
so i have two electrons left which is
one lone pair
so um step three is to
assign any remaining electrons to my
terminal or external atoms
uh hydrogens can't take any so i can
just give them to a carbon so i'll just
go ahead and pick one of my carbons to give
give
that lone pair to um uh
because i that's my central so that's
technically step four is adding the
uh remaining electrons to the central
atoms and then step five is to check my octets
octets
so i'm going to go ahead and check my
octets hydrogen
these are duets they're all good they've
got one bond they are satisfied
carbon two four six eight this carbon is good
good
carbon two one uh two four six
nope this guy does not have a full octet
so anytime i don't have a full octet i'm
going to go ahead and
grab some of these grab a lone pair from
somebody that does have an octet
um usually it's a terminal atom this guy
it is technically a central atom
but it's the only guy that's got a lone
pair that might be able to share it
so you're looking for somebody that does
have an octet and a lone pair to share
with the atom that doesn't have a lone pair
pair
or sorry it doesn't have a full octet so
we'll go ahead and just transfer this over
over
so i'm just going to clean up my
structure at this point i will clean up
my little notations here
um and we will move
that lone pair to
being a double bond all right so now
we'll check again the hydrogens are still
still
all fulfilled carbon two four
six eight and then the other carbon two
four six eight so this is my structure
and it turns out this is in fact the
structure of ethylene
um just real quick i wanna show you what
happens if you draw
this um out a different way so let's say
you put a carbon
and then you put a carbon and then you
put three hydrogens around one side
and one hydrogen around the other side
um when
you try well let's go ahead and just do this
this
so our step two would be to assign any
remaining lone pairs so let me just
count up one two three four five i still
have the same number of
electrons left over i've got one lone
pair left over so i'm going to go ahead
and give it to
my well most external atom that doesn't have
have
a full octet and i'll give it to carbon
so what happens is
the next uh step that right to move this
guy around to fulfill an octet
i can't because this one already this
two four six it doesn't this is this
doesn't have an octet
two four six eight this already has an
octet the only option here is to move
this guy and make a double bond with
this carbon
um and when you do that we have a big
problem here
which is this if we look here this
carbon still doesn't have a phyllo octet
two four six this carbon is still only
has six electrons and this carbon
two four six eight ten this has ten
electrons around it we're
we're breaking the octet this is a this
is not a good structure you can't do this
this
um so anytime this happens where you
have somebody that doesn't have an octet
and you can't
do anything without breaking somebody
else's octet um with too many electrons
what that means is that one of these
hydrogens is in the wrong spot
um so that's a good clue to you need to
start moving
you need to redraw your skeleton
structure with a different arrangement
and uh and try again
all right uh so we're going to go
look at uh cyanide here for our last
example uh here before we talk about our
expanded octets or exceptions to the octet
octet
so cyanide we're going to start off with
the exact same
process that we have for the last ones
so we need to figure out how many
valence electrons
cyanide has we've got one carbon atom
carbon has four electrons
and we've got one nitrogen nitrogen has
five electrons
and then we have a negative charge uh
which means we have one
additional electron so when we add this
all up we wind up with 10
electrons total in our cyanide
anion all right the next step is to draw
the skeleton structure
there isn't really a central atom when
you only have two atoms so we'll just go
ahead and connect those guys
whoops helps if i draw the correct atom
we'll just go ahead and correct our two
atoms with a single bond so that's step two
two
then step three is to distribute any
remaining lone pairs
so i need to do my bookkeeping and
figure out how many remaining lone pairs
i've got
all right so i used up two electrons i
will subtract two
i wind up with eight electrons which
means that's four
lone pairs so i've got four pairs of
electrons to assign
so i'm going to go ahead and assign them
here i don't have a central atom so i
don't really have a terminal atom that i should
should
choose first but i am going to choose
nitrogen first because it is more electronegative
electronegative
so i'm going to give i'm going to give
the nitrogen the extra electrons before
i give them to the less electronegative atom
atom
all right so i have four lone pairs to
work with and i need to fill my octets
so nitrogen already has two four
six eight there's my octet and then i
have one more lone pair to give and that
goes to carbon
because is the other one all right step
four is to distribute any remaining
electrons i have already done that
and then step five is to check my octets
so here i'm gonna look
nitrogen i filled up my octet as i was
doing it two four six
eight carbon two four so i've got a
problem uh all right so i need to start rearranging
rearranging
my lone pairs into double bonds so i'll
start with one
move this guy down again i'm already
always going to start with a lone pair from
from
the guy that's already got electrons
that already has a full octet and try to
share them with the atom that doesn't
have a full octet so let me just go
ahead and erase
that and redraw it and then i'm going to
check my
octet again nitrogen still has my still
has an octet carbon
2 4 6 still doesn't have an octet so i'm
going to take another lone pair off
the nitrogen and share that again so i
will erase this
just for clarity and draw that out
now i'm going to check this again 2 4 6
8 nitrogen still has an octet
2 4 6 8. now carbon has an octet
um so my last step as always is to
put some brackets around this and redraw
it uh sorry and add the at the charge
i can if i want to redraw this a little
bit more neatly
with um and this is just a thing that
we'll talk about when we get to the geometry
geometry
section but we tend to put uh we tend to
try to distribute the
lone pairs sort of evenly around
our atoms it doesn't matter um that's
just sort of
because it looks nicer and it's a little
bit more realistic that the electrons
are further away from the other
electrons as we'll talk about
in the geometry section but this is
all right so now we're going to move on
to talking about exceptions to the octet
rule and how that changes
or doesn't change our our process of drawing
drawing
lewis structures so we talked before
about the fact that some molecules are
going to have odd electrons
they're going to have an odd number of
valence electrons which means that just
by definition not all atoms will have an octet
octet
because it's not possible um so what's
going to happen is we're going to have
one unpaired electron
and we need to give that to the less
electronegative atom
that is more likely to have an unfilled octet
octet
so we'll just do this exactly the same
way we start off with
figuring out how many valence electrons
we have so nitrogen has five valence electrons
electrons
oxygen has six so we wind up with 11
electrons all right then our step two is
to draw our skeleton structure
we don't have a central atom so we'll
just go ahead and connect our
two atoms with a single bond and then we
will do our electron bookkeeping and
subtract two electrons
so we are left with nine electrons
all right so our next step is to assign
these lone pairs which
here is where it gets a little weird
right we've got basically four
lone pairs plus one electron so we need
to assign these to
our molecule and we'll start with the
more electronegative atoms and we'll
move to the less electronegative atoms
so we've got four lone pairs to
distribute we need to fill octets oxygen
already has two
so we'll give it six more
so that's three of our lone pairs so
we'll give nitrogen our last lone pair
and we will also give it the unpaired electron
electron
so uh that's all the electrons we've got
to work with we are done
so then step five is to check our
valence uh our octets oxygen two four six
six
eight has our octet nitrogen two four
five doesn't have an octet and in fact
it's pretty far off from an octet
um and so with these ones it's not so
much meeting the octet
but trying to get to seven um we can't
get to eight but we can get to seven
so let's go ahead and reassign one of
these lone pairs
to be a double bond so when we do that
we will find uh now we'll double check
again we've got two four six
eight still hasn't still has an octet
and then two four
six seven so nitrogen doesn't
technically have an octet here but it is
close as
as we can get uh given that it it is
stuck with that odd electron
um and this is not this is uh it's not a charged
charged
particle it's not an ion or anything so
we don't put it in brackets we just
leave it alone
all right um next we will talk about atoms
atoms
that are electron deficient so uh for
example bf3
where uh somebody in here might not have
a filled octet uh this can happen with
groups two
and thirteen um
all right so we'll start off exactly the
same way we're gonna start off by
uh calculating the number of valence
electrons boron has
three valence electrons and fluorine
each one has seven
and then we need to multiply that by
three because we have uh
three fluorines and so when we finish
off our
math we will find that this is going to
have 24
electrons all right our step two
is to draw a skeleton structure boron
goes in the middle because it is less
electronegative than fluorine
and then we will surround it with the three
three
fluorines all right and then we will do
our electron bookkeeping
two four six subtract six electrons so
we've got eighteen
electrons left over which means six
uh nope nope it does not mean six it
all right so now we need to go ahead and
assign them
uh so step three is to assign them
assign them to our external
um external atoms so we'll go ahead and
do that
uh so each of these fluorines has two so
far so it can
have it needs three more lone pairs
we'll go ahead and do that so
one two three
one two three
one two three all right so that is
actually all of our electrons so
2 4 6 8 10 12 14 16 18
20 22 24. so that's it we're done this
is all of our electrons we don't have
anybody left over to give to the boron
so normally our uh our step four we
don't have anybody left step five we
would we would be checking our
our octets and we would see that boron
doesn't have an octet it's only got six
electrons around it
and we would be choosing one of these
guys to give to make a double bond
um and it turns out that when you're
dealing with a group
uh 2 or 13 element
you're just not going to do that you're
just going to leave leave that lone pair
alone and let that boron
stay with six electrons um this is what
you find experimentally you do find that
this uh this atom or that sorry this
this molecule does act like a boron with
three single bonds around it um we can
tell with bond length then we can also
look at reactivity
this is a super reactive molecule it it
does act like the boron
is electron deficient
all right so our last kind of
exceptions to the octet rule are
hypervalent molecules
where the central atom can exceed the octet
octet
so as i mentioned before only elements
in the third and higher period
uh can have this happen and it's because
they have mtd orbitals
so phosphorus in the third energy level
doesn't have any electrons in the 3d uh orbitals
orbitals
because they they don't fill up until
the fourth energy level but they do
exist and so
um basically they can because there are
those empty d orbitals
um elements in the third row and below
can exceed the octet
all right so let's go ahead and talk
about how you would draw
some of this so if we look at
phosphorous and phosphorus pentachloride
five chlorines
it's exactly the same process we start
off with figuring out how many electrons
um there are how many valence electrons
we've got
so phosphorus lives just below nitrogen
in the periodic table it's going to have
five valence electrons and then we have
chlorines which each have seven valence
electrons and there are five of them
and when we figure this out we find out
we have 40 electrons
in our structure then we will go ahead
and draw out a skeleton structure and
we'll put the least electronegative atom
in the center and then everybody else
attached to it by a single bond
here phosphorus is less electronegative
than chlorine and we'll go ahead and
draw this
and yeah we're going to go ahead and put
five chlorines around
our phosphorus um
so here's our five chlorines around our
phosphorus um it feels weird but it it
this is what actually uh happens in uh
in reality
all right so now i need to do my
electron bookkeeping two four six
eight ten subtract 10 electrons
which is 15 lone pairs all right and
then i'm going to start assigning them
to my
terminal external more electronegative
atoms first i'll go ahead and do this in green
green
so i'm just going to keep track of how
many electrons i use up
one two three four
five six
7 8 9
10 11 12
13 14 15. all right that's it that's as
many electrons as i've got
um i should go ahead and double check my
octets um and i i can do that so
look at the chlorines each of these
chlorines has eight electrons around it
uh they are all fulfilled uh phosphorus
technically has 10 electrons around it so
so
it is exceeding its octet um it is
fulfilled i don't need to rearrange
anybody to
try to get that phosphorus more electron
all right so then we're going to look at
one more example and this is
uh this is um xenon
tetrafluoride xenon is a noble gas so it
seems very strange
xenon actually can make uh stable
compounds under certain conditions and
this is one of them
so we're gonna exactly the same way we
would we're just gonna treat this
um like like any other compound we're
going to go ahead and figure out how
many valence electrons this structure
should have
um xenon has eight valence electrons and
the four fluorines each have seven so
we'll do
seven times four um and so when we
finish off our electron math we're going
to find
that this structure has 36 electrons
all right then we're going to put the uh
least electronegative atom in the center
which turns out to be
xenon and then we will arrange the
fluorines around
it attached by single bonds
and then step three after i do my electron
electron
bookkeeping so subtract one two three four
four
four lone pairs or eight electrons so
subtract eight electrons
we wind up with 28 electrons left over
which is 14 millimeters
all right so now we're going to start
assigning these lone pairs to my
terminal or external
atoms so 14 lone pairs so let's go
1 2 3 4
5 6 7
8 9 10
11 12. all right so i have used up 12
lone pairs
i have two lone pairs left
all right um step four is to assign lone
pairs to
my central atom so even though xenon
technically has
eight electrons here i have two more
electrons i need to deal with
and i'm going to put them around my
xenon so
this is what it looks like fluorine we
can check our octet so fluorine
atoms each have eight electrons and the xenon
xenon
atom has 12. um so and
yeah again this is this is what we
actually see we can we can
we can look at some properties and
understand that this is is in fact
likely the correct structure for this
molecule um it's important to note we
can extend the octet right we've
extended it
uh phosphorus here has 10 uh 10
electrons around it instead of eight
here xenon's got 12. we don't generally
see anything above 12 when we're looking
at main group elements so
um six lone pairs or six six
regions of density is pretty much the
max for
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