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Lewis Dot Structures Gateway to Understanding Molecular Structure 1 Text 187752 and message to 37607

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Lewis Dot Structures

Gateway to Understanding Molecular Structure

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Molecular Structure & Bonding

A molecular structure, unlike a simple molecular formula, indicates the exact 3-D nature of the molecule. It indicates which atoms are bonded to which atoms, and the 3-D orientation of those atoms relative to each other.

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Molecular Formula vs. Molecular Structure

Molecular formula – H2O

Molecular structure: .. ..

O

H H

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Molecular Structure

Two issues:• What is stuck to what?• How are they oriented?

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What is stuck to what?

The first thing you need to do in drawing a molecular structure is to figure out which atom sticks to which other atoms to generate a skeletal model of the molecule.

The skeletal model is called a Lewis Dot Structure.

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Lewis Dot Structures

The first step towards establishing the full 3-D geometry of a molecule is determining what is stuck to what and how each atom is connected.

Lewis Dot Structures provide this information.

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Two Rules

1. Total # of valence electrons – the total number of valence electrons must be accounted for, no extras, none missing.

2. Octet Rule – every atom should have an octet (8) electrons associated with it. Hydrogen should only have 2 (a duet).

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Total Number of Valence Electrons

The total number of available valence electrons is just the sum of the number of valence electrons that each atom possesses (ignoring d-orbital electrons)

So, for H2O, the total number of valence electrons = 2 x 1 (each H is 1s1) + 6 (O is 2s22p4) = 8

CO2 has a total number of valence electrons = 4 (C is 2s22p2) + 2 * 6 (O is 2s22p4) = 16

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Determining the number of valence electrons:

Full d-orbitals do not count as valence electrons. They belong to the inner shell.

For example:

As is [Ar]4s23d104p3

This is FIVE (5) valence electrons. The 3d is part of the inner shell (n=3) which is full.

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How many valence electrons does Ge have?

A. 12B. 14C. 3D. 4E. 5

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12

!

1s1

2s1

3s1

4s1

5s1

6s1

7s1

2s2

3s2

4s2

5s2

6s2

7s2

3d1

4d1

5d1

6d1

3d6

4d6

5d6

6d6

3d7

4d7

5d7

6d7

3d8

4d8

5d8

6d8

3d9

4d9

5d9

6d9

3d10

4d10

5d10

6d10

3d2

4d2

5d2

6d2

3d3

4d3

5d3

6d3

3d4

4d4

5d4

6d4

3d5

4d5

5d5

6d5

1s2

2p6

3p6

4p6

5p6

6p6

7p6

2p5

3p5

4p5

5p5

6p5

7p5

2p4

3p4

4p4

5p4

6p4

7p4

2p3

3p3

4p3

5p3

6p3

7p3

2p2

3p2

4p2

5p2

6p2

7p2

2p1

3p1

4p1

5p1

6p1

7p1

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Take a look at Ge electron structure

[Ar]4s23d104p2

Full d-orbitals don’t count. So there are 4 valence electrons.

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How many valence electrons does Ti have?

A. 1B. 2C. 3D. 4E. 5

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How many valence electrons does Te have?

A. 15B. 16C. 3D. 5E. 6

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Two Rules

1. Total # of valence electrons – the total number of valence electrons must be accounted for, no extras, none missing.

2. Octet Rule – every atom should have an octet (8) electrons associated with it. Hydrogen should only have 2 (a duet).

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Central Atom

In a molecule, there are only 2 types of atoms:

1. “central” – bonded to more than one other atom.2. “terminal” – bonded to only one other atom.

You can have more than one central atom in a molecule.

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BondsBonds are pairs of shared electrons.

Each bond has 2 electrons in it.

You can have multiple bonds between the same 2 atoms. For example:

C-OC=OC OEach of the lines represents 1 bond with 2 electrons in it.

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Lewis Dot Structure

Each electron is represented by a dot in the structure

.

:Cl: ¨

That symbol with the dots indicate a chlorine atom with 7 valence electrons.

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Drawing Lewis Dot Structures

1. Determine the total number of valence electrons.

2. Determine which atom is the “central” atom.3. Stick everything to the central atom using a

single bond.

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Dot structure for H2O

1. Total number of valence electrons: 6 + (2 x 1) =8

2. Central Atom – typically, the central atom will be leftmost and/or bottommost in the periodic table. It is the atom that wants more than one thing stuck to it. H is NEVER the central atom.

3. Stick all terminal atoms to the central atom using a single bond.

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Dot structure for H2O

H – O – H

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Drawing Lewis Dot Structures

1. Determine the total number of valence electrons.2. Determine which atom is the “central” atom.3. Stick everything to the central atom using a single

bond.4. Fill the octet of every atom by adding dots.5. Verify the total number of valence electrons in the

structure.

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Dot structure for H2O

..

H – O – H ¨

That is a total of 8 valence electrons used: each bond is 2, and there are 2 non-bonding pairs.

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Do these two structures look the same?

A. YesB. No

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Are they the same?

A. YesB. NoC. What do you mean by “the same?

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Drawing Lewis Dot Structures1. Determine the total number of valence electrons.2. Determine which atom is the “central” atom.3. Stick everything to the central atom using a single bond.4. Fill the octet of every atom by adding dots.5. Verify the total number of valence electrons in the

structure.6. Add or subtract electrons to the structure by

making/breaking bonds to get the correct # of valence electrons.

7. Check the “formal charge” of each atom.

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Formal Charge of an atom“Formal charge” isn’t a real charge. It’s a pseudo-charge on a

single atom.

Formal charge = number of valence electrons – number of bonds – number of non-bonding electrons.

= number of valence - # of lines - # of dots

Formal charge (FC) is ideally 0, acceptably +/-1, on occasion +/- 2. The more 0s in a structure, the better.

The total of all the formal charges of each atom will always equal the charge on the entire structure (0 for neutral molecules).

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Dot structure for H2O

.. H – O – H ¨

FC (H) = 1-1-0 = 0FC (O) = 6 – 2 – 4 = 0

This is excellent, all the FCs are 0!

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DON’T EVER STOP AND THINK ABOUT WHERE THE ELECTRONS CAME FROM!!!

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Clicker

Choose the best Lewis Dot Structure for: SCl2

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N2S

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Another example

Let’s try CO2

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Drawing Lewis Dot Structures1. Determine the total number of valence electrons.2. Determine which atom is the “central” atom.3. Stick everything to the central atom using a single bond.4. Fill the octet of every atom by adding dots.5. Verify the total number of valence electrons in the

structure.6. Add or subtract electrons to the structure by

making/breaking bonds to get the correct # of valence electrons.

7. Check the “formal charge” of each atom.

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CO2

CO2

Total number of valence electrons = 4 from carbon + 2x6 from oxygen = 16

Central Atom?

Either C or O could be a central atom. C is more likely (to the left, to the left, to the left…)

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CO2

CO2

16 total valence electrons

O – C – O

Fill out the octets.. .. ..

:O – C - O: ¨ ¨ ¨

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Drawing Lewis Dot Structures1. Determine the total number of valence electrons.2. Determine which atom is the “central” atom.3. Stick everything to the central atom using a single bond.4. Fill the octet of every atom by adding dots.5. Verify the total number of valence electrons in the

structure.6. Add or subtract electrons to the structure by

making/breaking bonds to get the correct # of valence electrons.

7. Check the “formal charge” of each atom.

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CO2

16 total valence electrons

.. .. ..

:O – C - O: ¨ ¨ ¨Structure has 20 electrons in it. Too many!

I need to lose 4 electrons. What’s the best way to do that?

Make 2 bonds – each new bond costs 2 electrons

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CO2

:O = C = O: ¨ ¨Structure has 16 electrons in it. Just right!Notice, this works because there are 2 ways to count

the electrons:1. When I count the total # of electrons, I count each

electron once.2. When I count the electrons for each atom, I count

the bond twice (once for each atom in the bond)

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CO2

:O = C = O: ¨ ¨Is this the only structure I could have drawn?

I only needed two new bonds, I didn’t specify where they needed to go!

..:O C - O: ¨ .. :O - C O: ¨ Which is correct?

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Choosing between different structures?

The first test is formal charge::O = C = O: ¨ ¨FC (O) = 6 – 2 – 4 = 0FC (C) = 4 – 4 – 0 = 0 ..:O C - O: ¨ FC (left O) = 6 – 3 – 2 = 1FC (C) = 4 – 4 – 0 = 0FC (right O) = 6 – 1 – 6 = -1Based on formal charge the upper structure is the better one.

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I drew a happy Lewis structure (0,0,0). Is it the CORRECT structure

a. Yesb. Noc. Stop with the nonsensed. It’s another effing trick

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Are these even different?

..:O C - O: ¨ .. :O - C O: ¨ Depends on what I mean by different!

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Are they different? ..:O1 C – O2 : ¨ .. :O1 - C O2 : ¨ If I label them, I can see a difference. (Isotopic

labeling).If I don’t label them, they are interchangeable, just

rotate the top one to get the bottom one.

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Resonance ..:O1 C – O2 : ¨ .. :O1 - C O2 : ¨

O=C=OStructures that are identical, but differ only in the arrangement of

bonds are called resonance structures.

Resonance is always GOOD!

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Resonance

When you have resonance, the real structure is not any one of the individual structures but the combination of all of them.

You can always recognize resonance – there are double or triple bonds involved.

If you take the 3 different CO2 structures, the “average” is the original one we drew with 2 double bonds.

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ResonanceResonance is indicated by drawing all resonance

structures, separated by “ ”

.. .. :O C - O: :O - C O: :O = C = O: ¨ ¨ ¨ ¨

But this is not necessary in this case, as the last structure is also the combination of the 3 structures

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Nitrite ion

Draw the Lewis Dot structure for NO2-

How many valence electrons?N has 5, O has 6, but there’s one extra (it’s an

ion!)

5 + 2 (6) = 17 valence electrons + 1 extra = 18 valence electrons

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Nitrite LDS

What’s the central atom?

NitrogenO – N – O .. .. .. :O – N - O: ¨ ¨ ¨Total number of electrons?20 electrons – too many

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Nitrite LDS.. .. .. :O – N - O: ¨ ¨ ¨How do you fix the problem?Make a bond

.. .. .. :O = N - O: ¨What do you think?RESONANCE

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Nitrite LDS

.. .. .. .. .. ..:O = N - O: :O - N = O: ¨ ¨What’s the real structure look like?It’s an average of those 2. Kind of 1-1/2 bonds between

each N and O! In fact, if you measure the bond angles in nitrite, you find that they are equal (a double bond would be shorter than a single bond)

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Let’s try another…

CO32-

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N2H2

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PO43-

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Exceptions to the Octet Rule

There are exceptions to the octet rule:

1. Incomplete octets – less than 8 electrons.2. Expanded octets – more than 8 electrons

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Incomplete OctetsThe most common elements that show incomplete octets are B,

Be besides H.

So, for example, BCl3 has the Lewis structure: .. ..

: Cl – B – Cl: ¨ | ¨

: Cl : ¨Total valence electrons is correct at 24. FC (B) = 3 - 3 – 0 = 0FC (Cl) = 7- 1 - 6 = 0

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H, B, Be, Li

ALMOST NEVER HAVE COMPLETE OCTETS.

They are just too electron poor.

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Expanded OctetsThe most common atoms to show expanded octets are P and S.

It is also possible for some transition metals.

An example of an expanded octet would be PCl5: .. .. :Cl: :Cl: Total valence e- = 40 .. .. :Cl – P - Cl : FC(P) = 5 – 5 – 0 =0 ¨ | ¨ : Cl: FC (Cl) = 7 – 1 – 6 = 0 ¨

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How many resonance structures does SO42-

have

A. 2B. 3C. 4D. 5E. 6F. 7G. 8H. 9I. 10J. 11

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Those pesky d-orbitals

Once you get to n=3, you have d-orbitals available.

The octet rule really arises from the sum of the s-orbitals (2 electrons) and p-orbitals (6 electrons).

Anything with d-orbitals (10 electrons) COULD expand its octet when necessary.

So anything beyond P in the periodic table COULD. S & P USUALLY DO.

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Let’s talk bonds!

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What holds molecules together?

Bonds

Bonds are made up of?

Electrons

How do the electrons hold atoms together?

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Two ways:

• Ionic Bonds – attraction between ions of opposite charges

Na+ Cl-

• Covalent Bonds – sharing of electrons between adjacent atoms

PF3

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Are they really different?

Let’s share a pie!

Which pie are we actually sharing?

Mine YoursYours Mine

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Sharing doesn’t have to be equal!

Mine

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Ionic and covalent are part of a continuum

Ionic Covalent

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Two extremes

Mine Yours

Ours

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Something in the middle

Mine YoursYours Mine

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Ionic and covalent are part of a continuum

Ionic Uneven sharing Equal sharing

Non-polarPolar

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The truth about bonds

Covalent – bonding by sharing of electrons

Ionic – bonding by attraction between oppositely charged ions

Really, they are exactly the same thing!

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So, consider a bond, any bond:

Cl – Cl

Which case is this?

Equal sharing!

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So, consider a bond, any bond:

H-Cl

Which case is this?

Unequal sharing! How do you know?

They are on opposite sides of the Periodic table!

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.

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A metal + a non-metal =

An ionic compound!

Non-metals love electrons, metals don’t!

There is a periodic trend for “electron love”: electronegativity or electron affinity.

Electronegativity increases to the right and going up (F is most electronegative, Fr is least)

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Electronegativity

Electronegativity is the ability of an atom to attract electrons to itself.

Electronegativity is important in predicting whether a bond is ionic or covalent.

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Loving electrons

I love pie.

I have a pie sitting in front of me.

You sort of like pie (or maybe you’re smaller than me!).

You get no pie!

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Loving electrons

I love pie.

I have a pie sitting in front of me.

You really, really, really love pie (or maybe you’re bigger than me!).

I get no pie.

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Loving electrons

I like pie.

I have a pie sitting in front of me.

You like pie.

We each get ½ the pie.

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Electrons are like pie!

The “sharing” of electrons is really a sliding scale from completely equal (non-polar bond) to completely unequal (ionic).

The electronegativity helps me decide.

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Suppose I’m oxygen…

…you need me to live!

I’m oxygen. How much do I like pie…er, electrons?

Check my electronegativity…

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I’m oxygen, I need a friend…

ONLY O has an electronegativity of 3.5. The only completely equal sharing of electrons is with O.

O2 – completely equal covalent bond. Non-polar.

Suppose, I make a new friend that is not myself (that would be NICE!) like N.

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O (EN = 3.5)N (EN = 3.0)

Close, but not the same. The difference is 0.5. What kind of bond is this?

POLAR covalent.

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Arbitrarily:

The polarity of a bond is determined by the difference in electronegativity between the atoms at either end of the bond.

E.N. = Larger E.N. – smaller E.N.

E.N. = 0 to 0.4 - NON-polar covalent bond

E.N. = 0.401 to 1.999 – POLAR covalent bond

E.N. = 2.0+ IONIC bond89Text 187752 and message to 37607

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Cl – Cl

E.N. = 3.0 – 3.0 = 0Non-polar

H-Cl

E.N. = 3.0 – 2.1 = 0.9Polar

NaCl E.N. = 3.0 – 0.9 = 2.1Ionic

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Polarity is represented as an arrow…

…pointing toward the more negative atom.

Cl – Cl

ᵟ+ ᵟ-

H-Cl

Na+ Cl-

NaCl92Text 187752 and message to 37607

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Bond polarity is local…

The polarity of a bond refers only to the bond itself: the two atoms that are bonded together.

For molecules as a whole, there is still “polarity” but it is a more complicated thing that depends on 3-D geometry.

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H2O

Polarity is a “vector”, it has size and direction. You can’t separate the two. Think of it as travel directions.

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If I leave my house and go 1 mile North and then 1 mile South, where am I?

1 mile North1 mile South

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If I leave my house and go 1 mile North, and then 1 mile West, where am I?

1 mile North

1 mile West

1.414 mi NW

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Page 97: Lewis Dot Structures Gateway to Understanding Molecular Structure 1Text 187752 and message to 37607.

H2O

A polarity vector is just the direction that a proton would go (toward the negative), and the length of the vector is its magnitude.

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Page 98: Lewis Dot Structures Gateway to Understanding Molecular Structure 1Text 187752 and message to 37607.

H2O

The polarity of the molecule is distinct from the polarity of the bonds in the molecule.

Non-polar bonds = Non-polar molecule

Polar bonds…depends on the geometry!

NetDipole

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Vector Addition

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Page 101: Lewis Dot Structures Gateway to Understanding Molecular Structure 1Text 187752 and message to 37607.

Molecule Polarity

101

The O-C bond is polar. The bonding electrons are pulled equally toward both O ends of the molecule. The net result is a nonpolar molecule.

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Molecule Polarity

102

The H-O bond is polar. The both sets of bonding electrons are pulled toward the O end of the molecule. The net result is a polar molecule.

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