Unit 12 Bonding and Molecular Architecture

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Chemical Bonding

Chemical bonding involves the joining of two atoms. The oxidation numbers that we learned about in the first semester have to do with whether the atoms involved in a bond “prefer” to lose, gain or share electrons. The ability to lose electrons can be determined by an element’s ionization energy whereas the ability of an element to accept electrons is its electron affinity. Both ionization energy and electron affinity apply to atoms by themselves. We're more interested in how atoms of one element behave in the presence of atoms of other elements.

An element’s electronegativity relates the ability of an element to attract electrons when they combine with another element. The same 4 factors affect electronegativity as electron affinity and ionization energy. We observe the same trends on the periodic table for each. Elements with the highest ionization energy, electron affinity and electronegativity are at the top, right on the periodic table (Noble Gases excluded). Elements with the lowest ionization energy, electron affinity and electronegativity are at the bottom, left of the periodic table.

Metals and Nonmetals and Electronegativity

Since metals lose electrons when they react, they have low electronegativities. Nonmetals can gain or lose electrons, and have higher electronegativities.

Bond Character in a Molecule

One factor that determines the nature of a bond between two atoms is the electronegativity difference (DEN). A rule of thumb most textbooks go by is that if the DEN is less than 1.67, the bond is covalent and electrons are shared. A DEN value greater than or equal to 1.67 results in a bond which is mainly ionic in nature.

An example:

BaO          EN of O = 3.37                                           CH4        EN of C = 2.56
            -  EN of Ba = 0.93                                               - EN of H = 2.20
                                  2.44        ionic bond                                            0.36 covalent bond                                                                                                           

This is a bit of a simplification as a bond can have some sharing and some electron transfer going on.

What Do Ionic and Covalent Bonds Look Like?

Ionic bonds appear as two spheres held together by electrostatic attraction. They resemble two billiard balls in contact.

Covalent bonds appear as two spheres that seem to overlap. This overlap is how the two atoms share electrons.

The bond axis is the imaginary line drawn from the nucleus of one atom (ion) to the nucleus of the other atom (ion). The bond length is the distance measured along the bond axis. Bond angles can be visualized by looking at the angle formed by the bond axes drawn to a central atom, like O in H2O.


Metals

Metals have a unique bonding type, the result of their loose hold on their outer electrons. Electrons of metals can become delocalized by moving from the individual atom to a common electron cloud referred to as the conductivity band. The energy difference between the inner band and the conduction band is so small that electron can easily move into the conduction band.

Nonmetals are generally nonconductors because of a very large difference between the inner band and conduction band. This big energy difference is referred to as the forbidden zone. Under most conditions, it is impossible to get the localized electron to jump to the delocalized conduction band.

Metalloids are sometimes referred to as semiconductors. They conduct under some circumstances but not others. This is due to a relatively small forbidden zone between the inner band and the conduction band. Relatively small amounts of energy will kick an electron from the inner band to the conduction band.

 

What Affects The properties of a Molecule?

When atoms combine to form molecules, the compounds have different properties than any of the atoms. The properties of a molecule are dependent on two factors. The are:

1) the type of chemical bonding taking place.

2) how the atoms arrange themselves in space.

There are several ways of explaining the shape of molecules. We will start with a 2 dimensional model called Lewis dot diagrams.

Lewis Dot Diagrams

We were first introduced to Lewis dot figures when we discussed electron arrangement. For the A groups, the number of dots (electrons) surrounding the symbol of the element is simply equal to the group number. We also know that atoms react in order to acheive a stable octet, 8 outer electrons. Atoms can either share or transfer electrons. In this section we will focus on molecules, which consist of atoms that share electrons.

Knowing that atoms combine to achieve a stable electron configuration, we can use the Lewis dot diagrams to construct the molecules. For example, two hydrogens combine with an oxygen atom to form water.

Another example would be the molecule methane, CH4

While it is easy to see how the atoms go together in Lewis Dot figures, the main weakness is that the dot diagrams are a 2 dimensional representation.

VSEPR - Valence shell electron pair repulsion

Because molecules occupy three dimensions not two, we can easily modify our dot diagram model to account for the electrostatic repulsion that occurs between the electron clouds and visualize molecules in 3-D. Each electron represented as a dot is actually an electron cloud that repels other electron clouds. What shapes do the clouds make?

In an atom like Beryllium, there are two outer electrons. Since these electron clouds repel each other, they orient themselves as far away from each other as possible into a linear configuration. In a molecule of Beryllium hydride, BeH2, the H-Be-H bond angle is 180 degrees. The shape of the BeH2 molecule is linear.

H : Be : H

Boron on the other hand has 3 outer electrons, which orient themselves in the 12, 4, 8 O'clock positions. In this arrangement, the three electron clouds orient themselves along a plane at angles of 120 degrees from each other.


A molecule of Boron hydride has a similar shape, just with the hydrogens covalently bonded tothe Boron where the unshared electrons are. The shape of the BH3 molecule is trigonal planar.

Carbon has four outer electrons, which arrange themselves in a 3 dimensional configuration. If you can visualize the carbon atom in the center of a tetrahedron, the electrons would be at the corners of the tetrahedron. We cannot represent a tetrahedron using Lewis dot diagrams. The best we can do is to draw the dots at 12, 3, 6 and 9 O'clock.

If you use your imagination, the electrons at 12 and 6 O'clock come out of the screen slightly while the 3 and 9 O'clock electrons go into the screen. A molecule of methane has hydrogens where each unpaired electron is located. The shape of the CH4 molecule is a tetrahedral. The H-C-H bond angle in a tetrahedral shaped molecule is 109.5 degrees.

Molecules like PCl5 and SF6 have 3 dimensional arrangements that really cannot be represented in a Lewis Dot figure, but can be drawn out.


This arrangement is referred to as a trigonal bipyramidal arrangement. The three planar chlorines are at the edges of a equilateral triangle. The "polar" Chlorines lie on an imaginary line that passes through the Phosphorous perpendicular to the triangle. The Cl-P-Cl  angle on the plane is 120 degrees. The Cl-P-Cl angle the "polar" chlorines make is 180 degrees. Finally the Cl-P-Cl angle between the polar Cl and the Cl at the corner of the triangle is 90 degrees.

 

This is an octahedral arrangement. The 4 planar fluorines lie at the corners of a square. The fluorines that are at the “North and South Poles” lie on an imaginary line that passes through the S perpendicular to the plane of the square. Notice every F-S-F angle is 90 degrees.


 Knowing the shape of the electron clouds can help us predict the shape of a molecule. If all the surrounding electron clouds are bonded to atoms, the resulting shape of the molecule matches the shape of the electron clouds. However, if there are some unshared pairs of electrons, the shape of the molecule is different.

For example, in water, there are 4 surrounding electron clouds which assume a tetrahedral configuration.Two of the clouds are unshared pairs of electrons, two of the clouds are electrons shared with hydrogen atoms. The shape of the water molecule is bent, with the H-O-H angle a little less than 109.5 degrees.

In the ammonia molecule, NH3, the nitrogen atom has a pair of unshared electrons in one cloud while three electrons (clouds) are shared with three hydrogen atoms. There are four electron clouds surrounding the nitrogen, but only 3 of those clouds are involved in bonding. While the electron clouds assume a tetrahedral configuration, the molecule has a trigonal pyramidal shape with the H-N-H bond angle a little less than 109.5 degrees.


There are certain factors that can modify the shapes explained by VSEPR theory. Since the basis for the various shapes is repulsion of neighboring electron clouds, any difference in size or shape of an electron cloud can affect the amount of repulsion. Shared pairs of electrons occupy less space than unshared electron pairs. Also triple bonds occupy more space followed by double bonds, then single bonds.

If you’d like to learn more about molecular structure, click on this link: Advanced Molecular Structure

 

Characterizing A Chemical Bond: A Closer Look

Summarizing, we have identified 3 kinds of bonds. They are:

1) metallic bonds - see above discussion

2) ionic bonds - a large difference in electronegativities between the two atoms results in a transfer of electrons from the atom with low EN to the atom with high EN. This results not in a molecule, but a positively charged ion attracted to a negatively charged ion. For example salt, NaCl is not really a molecule, but a collection of Na+1 ions and Cl-1 ions stuck together in a repeating pattern.

3) covalent bonds - a difference in electronegativities of less than 1.67 results in sharing of electrons between two atoms. We can identify two kinds of covalent bonds. They are:


A) Nonpolar Covalent - DEN = 0 or close to zero. The electrons are shared equally between the two atoms, like in a diatomic F2 molecule.

B) Polar Covalent -  0 < DEN < 1.67. The electrons are shared but shared unequally. The electron pair spends more time with the atom with a higher electronegativity. For example, in water, oxygen is more elctronegative than hydrogen, so the electrons spend more time with oxygen and less time with hydrogen, This gives oxygen a partial negative charge (d-) and hydrogen a partial positive charge (d +).


The Dipole Moment (m) is the measure of the polarity of a bond. It is dependent on the size of the partial charge and the distance between them. A larger difference in EN can result in a larger dipole moment as can a larger bond length.

What Determines the Characteristics of a Substance?

We have learned that both shape of the molecule and bonding type affect the properties of a molecule. We can categorize substances as belonging to 4 different classes. They are metals, ionic substances, nonpolar covalent and polar covalent molecules.

1) Metals are malleable, ductile, shiny and conduct heat and electricity. They tend to lose electrons when they react.

2) Ionic substances are hard, brittle materials with fairly high melting points. They are nonconductors in the solid state but will conduct electricity in the molten phase and in the aqueous state.

3) Non-polar Covalent Molecules are mostly low boiling liquids or gases, though there are some solid non-polar substances. They tend not to be soluble in water and do not conduct electricity in any state.

4) Polar Covalent Molecules are mostly higher boiling liquids or solids. They are soluble in water and are nonconductors in any state.

What Determines Polarity of a Molecule

A substance with non-polar covalent bonds will always be non-polar. A molecule with polar covalent bonds can be either polar or non-polar depending on how the bonds are arranged in space.

If the bonds are symmetrical, the dipole moments "cancel" and the net result is a nonpolar molecule.

If the bonds are asymmetrical, the molecule will be polar.


Molecules with similar dipole moments will be more likely to dissolve in each other. Substances with very different dipole moments tend to be insoluble or immiscible in each other. The term like dissolves like can be useful when comparing the relative polarities of two materials.

For example:


Water and methanol have very similar dipole moments and will mix homogeneously.

mwater
6.14 x10-30 C*m 

mmethanol
5.64 x 10-30 C*m
 

Two polar materials

Water and benzene have very different dipole moments and will not dissolve in each other.

 mwater
6.14 x10-30 C*m 

mbenzene =  0 C*m
 

A polar material mixed with a non-polar material

Benzene and CCl4 have the same dipole moment and will mix homogeneously.

mbenzene =  0 C*m

mCCl4 = 0 C*m

Two non-polar materials


In general, most polar and ionic solutes will dissolve in water, which is a polar solvent. Most nonpolar solutes are either insoluble or barely soluble in water. Remember, this is a generalization.

Intermolecular Forces - van der waals Forces

Molecules must interact with their neighbors, otherwise all matter would exist only in the gas state. What holds molecules together in the solid and liquid states?

Intermolecular forces provide the "glue" that holds molecules of a solid or liquid together. There are three types of intermolecular forces. They are:



1) Dipole / Dipole Interaction - two polar molecules arrange themselves so that their opposite (and attracting) dipoles line up. The neighboring molecules attract each other holding them together in the solid or liquid state. 


2) Dipole / Induced Dipole Interactions - two molecules of differing polarities, one polar and the other non-polar interact. The dipole of the polar molecule alters the position of the shared pair of electrons in the non-polar molecule in such a way that the non-polar molecule becomes an induced dipole which can now interact with the polar molecule.

3) London (Dispersion) Forces - Since the electrons in a non-polar bond are shared, at any given moment, they may be more to one side of the molecule giving that side a negative pole and the other side a positive pole. This momentary dipole continually "flips" back and forth, inducing its neighbors to do the same. Dispersion forces help us visualize how non-polar molecules can exist in the liquid or solid states.


These intermolecular forces are much weaker than covalent bonds and can be broken by heating to the boiling point.

The intermolecular forces vary with the size of the molecules. In general, the larger the molecule, the larger the intermolecular forces. This explains why fluorine (F2) exists as a gas whereas iodine (I2) exists as a solid. The I2 molecule is much larger than the F2 molecule which results in stronger intermolecular forces holding the iodine together as a solid.


Hydrogen "Bonding"

When we plotted boiling point vs. molar mass of VIA elements bonded with hydrogen, a clear pattern emerged with the higher molar mass H2Te boiling at a higher temperature with lower molar mass H2Se and H2S boiling at still lower temperatures. From our study of van der waals attractions we can explain this because the intermolecular forces increase with molar mass. Stronger intermolecular forces contribute to a higher boiling point.

When we added the boiling point of H2O to the graph, it didn't seem to fit. Based on the trends observed with H2Te, H2Se and H2S, we would expect water to boil at a much lower temperature due to its smaller molar mass. Instead, it has the highest boiling temperature in the series.


A similar pattern is observed in compounds containing hydrogen and VIIA and hydrogen and VA. HF and NH3, being molecules with the lowest molar mass in their respective series all boil at unexpectedly high temperatures. What causes this unexpected deviation?

All 3 series of molecules contain hydrogen. When we look at the electronegativities of F, O and N we see that they are the three most electronegative elements on the periodic table. There must be something about hydrogen bonded to a highly electronegative element that results in a large intermolecular force and therefore a higher boiling point.


Because hydrogen has only one electron, if it is pulled away by a highly polar covalent bond with F, O or N, the resulting partial positive charge (d+) is highly concentrated. Other IA elements such as Li and Na have inner electrons. When their outer electron is lost, the positive charge is spread out over the size of the Li+1 or Na+1 ion. Since H+1 doesn't have any electrons left, the +1 charge is concentrated on a proton, which is thousands of times smaller than the Li+1 or Na+1 ion. This high charge concentration is extremely unstable. 


The positively charged hydrogen can help "diffuse" its highly concentrated positive charge by interacting with the partial negative charges (d-) on neighboring molecules. 
 

This special case of intermolecular forces is referred to as hydrogen bonding
 

This is actually a dipole/ dipole interaction and not a covalent bond. The strength of a single hydrogen bond is much weaker than a covalent bond, but when they are added up, they contribute to the higher than expected boiling points


Water: Some Interesting Properties Due to Hydrogen Bonding

Most substances expand when heated and contract when cooled. This should make sense based on our understanding of kinetic theory. Any heat added will result in more movement of the particles which would result in a spreading out. The same should hold true for melting or freezing. Most substances expand when melted and contract when cooled. Water behaves like most materials except between 0 and approximately 4 C. When ice is heated to its melting temperature it begins to melt. After melting, we notice that it has contracted instead of expanded. Furthermore, when liquid water at 0 C is heated to 4 C, it contracts. After 4 C water behaves like most other substances expanding when heated and contracting when cooled.


The most interesting consequence of this behavior is that unlike most substances solid water is less dense than liquid water. We can see why this is when we look at the hydrogen bonding between neighboring molecules in ice. The result of the hydrogen bonding is much empty space between the molecules, which explains the lower density. This explains why ice floats on water. The layer of ice on lakes and ponds in the winter provides insulation and prevents the entire lake or pond from freezing over. If water was like most substances, ice would be more dense than water and it would sink to the bottom of the lake. With no insulation, the lake would freeze solid.

Surface Tension

Because of the hydrogen bonding, water molecules exert forces on their neighbors and are also pulled at by their neighbors. Molecules below the surface are pulled equally in all directions but surface molecules are not. Since surface molecules do not have any molecules above them, the result is a net force downwards. This net force acting on the surface molecules contributes to surface tension. Some interesting results of surface tension are the beading up of water on cars, water striders being able to walk on water and the spherical shape of water droplets created from a splash.



Surface tension is due to cohesive forces holding the water molecules together. Attraction of water to other objects is referred to as adhesion. The concave meniscus created by water is due to the adhesive forces between the water and glass being greater than the cohesive forces between water molecules. This also explains capillary rise. Mercury has a much stronger surface tension, which cannot be overcome by adhesive forces of glass in a graduated cylinder. This explains the convex meniscus.


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