Topic 2 - Chemical Bonds Flashcards
(126 cards)
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.
































