Topic 2 - Chemical Bonds Flashcards
What is the wave function?
Wavefunction: The probability of finding the electron in a particular area.
- The reason why the wave function is used is because electrons show wave-like properties. This means they don’t always have a fixed position (Wave is not a single particle). Hence, the wave function informs us of the probable locations of the electrons.
Note –> diagram shows different shades –> representative of different probabilities.
How does one represent the wave function?
Mathematical description –> Ψ (x,y,z) –>Three axis as we are dealing with three dimensions.
How does the graph of the wave function look like?
What is the electron density?
Electron density (Ψ2)
- Obtained by squaring the wave function
- Gives the number of electrons in a given area.
What is the graphical representation of the electron density?
What is the radial electron distribution?
Radial electron distribution (4πr2)(Ψ2)
- Multiply the volume of a sphere with electron density gives the e- distribution in a given volume. Basically, gives the probability of finding an electron in a given ‘layer’ relative to the nucleus.
- Equation provides us with the most likely radius where e- are found –> represented by maximum on graph.
What does the graphical representation of the radial wave function look like?
What is the wave function + electron distribution of the 2s and 2p orbitals?
Note –> shading/ ± is used to represent wave function direction, not charge.
What is the equation for electrostatic potential energy?
Electrostatic potential energy –> Coulobmb’s Law
E α (q1 x q2)/(r)
which is equivalent to….
E = K (q1 x q2)/(r)
Where…
q = charge
r = seperation distance
k = constant
What can coulomb’s law (Electrostatic potential energy) be used for?
When two objects with charge q1 and q2 respectively are located r distance away from each other we can calculate the electrostatic potential energy using the constant K.
- Greater charges/smaller distance –> greater E (visa versa)
Results:
- Positive E –> forces are repulsive
- Negative E –> forces are attracting
- Neutral object –> 0 interaction.
What is the Aufbau principal?
Electrons are placed in orbitals starting with the lowest energy, working up.
What is the Pauli exclusion principle?
It states that there are a maximum of 2 electrons per orbital and they must spin in opposite directions.
What is Hund’s rule?
It states that when multiple orbitals of the same energy are available, electrons are distributed among them and spin parallel (before pairing electrons).
What are molecular orbitals?
Molecular orbitals explain what happens to the orbitals when a molecule is formed.
They are helpful in explaining a specific type of bonding (delocalization) and properties (magnetism) of molecules which the Lewis structure doesn’t explain.
- Atomic orbitals are associated with atoms
- Molecular orbitals are associated with molecules –> are spread across the entire molecule.
In what situations are molecular orbitals formed?
Atoms only bond to form a molecule when there are more favourable interactions than unfavourable interactions.
For example: H2 –> 4 favourable and 2 unfavourable –> H2 molecule is formed.
What determines whether a successful bond is formed?
When talking about the molecular orbitals - a successful bond depends on whether the wave functions of the two atoms are in-phase or out of phase.
In-Phase –> Succesful bond
Out of phase –> No successful bond
Note:
In-Phase –> Waves combine together –> amplitude of waves is added.
Out of phase –> Waves cancel each other out –> destruction of the wave.
What do the A.O wave function graph, M.O wave function graph, radial distribution and electron density look like for H2.
A.O –> Atomic orbital (before combined)
M.O –> After orbitals are combined.
In phase
- Bond is formed –> cylindrical symmetry
- Bond is always at a fixed distance - energetically favourable.
- Known as bonding molecular orbitals.
Out of phase
- No bond formed (also cylindrical symmetry).
- Known as an anti-bonding orbital
Do the number of atomic orbitals and molecular orbitals need to equal each other?
Yes, the number of atom orbitals and molecular orbitals must equal each other.
What do the energy level diagrams of H2 look like? What can they tell us about the bonding taking place?
The molecular bonding orbital is at a lower energy than the individual atomic orbitals –> hence, the formation of the M.O is energetically favourable –> provides stability.
What do the energy level diagrams of He look like? What can they tell us about the bonding taking place?
In He’s case both of the bonding and anti-bonding orbitals get filled.
Stabilisation gained by the bonding orbitals is counter-balanced by the destabilisation of the anti-bonding orbital. No energetic reason to He2 –> hence it is not found in nature in this form.
Can the molecular orbital theory be extended to π orbitals?
Yes, the M.O theory can also be extended to π bonds.
Draw the bonding and anti-bonding orbitals for the sigma bonds formed by pi bond head-on overlap.
Draw the bonding and anti-bonding orbitals for the formation of π bonds.
Important to realize that the Pi bond isn’t as strong as the sigma bond. This results in destabilisation of the of π* orbital having a lower energy than σ* .
Draw the three different bonds that can be formed in an O2 molecule.
Hint - Think about different Pi overlaps.
The geometry of molecular orbitals in O2.
- Head on collision of 2p orbitals –> sigma bond
- Vertical side-ways overlap of 2p orbitals –> Pi bond
- Horizontal side-ways overlap of 2p orbitals –> Pi bond.
What does the orbitals size correspond to?
The orbital size correspond to the point where there is the highest probability of finding electrons.
When 2p orbitals are involved in bonding what happens to the 2s and 1s Orbitals?
When 2p orbitals are bonding the 2s and 1s orbital can’t participate in bonding as they lack the sufficient size –> they can’t physically reach.
Draw the energy level diagram for O2 .
The formula for calculating bond order?
Bond order = (e- in bonding orbitals - e- in anti-bonding orbitals)/2
Bond order –> gives the net number of shared pairs of electrons. i.e. A double bond corresponds to a bond order of 2.
Explain the bonding in methane (reference hybridisation)
According to the atomic structure of carbon, carbon wouldn’t be able to form the tetrahedral shape of methane.
This is overcome by the hybridisation of orbitals to form Sp3 hybrid orbitals.
- One electron in 2s orbital promoted to 2p
- 2s and 2p orbitals hybridize to form Sp3 orbitals.
Each orbital has one electron so it can now form 4 sigma bonds with hydrogen –> this has a tetrahedral arrangement (109.5o).
What is a Fisher projection?
A diagram that shows 3D nature of the molecule.
- Atoms coming out from the side –> go out of the plane of the paper.
- Atoms at the top and bottom go into the plane of the paper.
Explain the bonding in ethene (reference hybridisation).
The carbons in ethene need to form 3 sigma bonds and one double bond. Orbitals need to be hybridized to Sp2 hybrid orbitals in order to make this possible.
- The electron is promoted to P orbital
- Orbitals hybridize to form Sp2
- Sp2 form sigma bonds and the extra P orbital forms Pi bond.
- Note we would expect the electron in the P orbital to move down to the Sp2 orbital but the orbitals are close in terms of energy that pairing electrons is more energetically unfavourable.
Explain the energy level diagram for the bonds in methane.
Explain the energy level diagram for the double bond in ethene.
What is the average bond energy + bond length of a single and double bond?
Single bond (σ) –> 350 KJ/Mole –> 1.54 Å (0.154nm)
Double bond (σ + π) –> 600 KJ/mole –> 1.34 Å (0.134nm)
As we can see from this a Pi bond is roughly 50 kJ/mole weaker than a sigma bond.
Definition of an isomer?
Isomer –> same molecular formula but a different structural formula (different arrangement of atoms)
Structural isomer definition? Characteristics?
Same molecular formula but a completely different arrangement of atoms.
- Chemically different
- Same number of bonds
- Composition is the same –> different arrangement
What is geometric isomerism?
This type of isomerism involves the restricted rotation of a bond due to the presence of a double bond or ring structure. Results in the formation of Cis (same) and trans (opposite) isomers.
The only way to interconvert would be to break the bond and rotate the bond by 180 degrees –> This process requires energy as electrons need to be returned to their atomic orbitals (higher energy level).
What are different types of stereoisomers?
Stereoisomerism: Molecules that have the same molecular formula but have a different arrangement of the atoms in space.
Types
- Configurational –> interconverted by breaking bonds
a) Optical Isomerism
b) Geometric isomers
C) Diastereomers
- Conformational –> no bonds need to break
When are two chiral molecules enantiomers?
They are enantiomers (isomers of each other) if they are mirror images and non-superimposable.
Note - Chiral centre must have 4 different groups attached.
What are diastereomers?
These are stereoisomers that are not mirror images and non-superimposable.
Both molecules have different chemical and physical properties.
What’s the difference between absolute and relative stereochemistry?
Absolute stereochemistry: is the precise arrangement of atoms in space –> use the stereochemical description of R and S.
Relative stereochemistry: Compares the arrangement of atoms in space of one compound with those of another. Use the stereochemical description of L and D.
Basically comparing and matching similar functional groups to figure out whether something is L or D.
Explain the stereoisomerism of glucose.
All carbons on the glucose molecules are diastereomers apart from one which is an enantiomer.
- Change in the position of the -OH only takes place on one carbon which is carbon 4 –> involves breaking bonds to interconvert.
CHECK SLIDE!!!
What is conformational isomerism?
Conformational isomers (or conformers or rotational isomers or rotamers) are stereoisomers produced by rotation (twisting) about σ bonds.
What are the different conformations?
There are a total of 4 different conformations that one must consider.
- One must examine the molecule in order to see whether it is eclipsed or staggered.
- If it is staggered one must examine the bond angles between the two groups (usually examine the atom with the most protons –> repel the most –> further away –> more stable).
Furthest angle –> Called Anti
Anything else –> Gauche
Differences in in eclipsed and staggered on an energy level diagram?
Differences between anti and gauche on an energy level diagram?
What is a Newman projection?
Diagram used to show different conformations.
Note the angle between the groups on the different carbons –> known as a torsion angle.
Explain the dissociation of H2O and how the value of Kw is derived.
Dissociation of H2O
H2O <—> H+ + OH-
Equilibrium expression:
Kw = Keq = ([H+][OH-])/(1) = 10-14
Note that H2O is ingored –> concentration is so large that change have minimal impact on Equilibrium constant.
Hence, in a neutral solution….
[H+][OH-] = 10-7
What’s the definition of pH?
pH = -log[H+]
Write out the equation for the dissociation of a proton from acetic acid and create an expression for Ka.
CH3COOH <—–> CH3COO- + H+
Acid <—–> Conjugate base (acetate) + proton
Ka = ([CH3COO-][H+])/[CH3COOH]