2.2 Electron Configuration

Syllabus

What does this mean?

The Electromagnetic Spectrum

This is a topic most students will have studied in Physics for GCSE.

For those who have not:

· E-m waves have perpendicular Electric and Magnetic fields.

· All E-m waves travel at the speed of light (c=νλ allows you to covert wavelength and frequency)

· Wavelength and frequency are inversely proportional (Long wavelength = Low frequency)

· Frequency & energy are directly proportional (High frequency = High energy)

· Learn the order R,M,I,V,U,X,G

VIDEO

Questions

1. Why do E-M waves become more dangerous as their frequencies increase?

2. The speed of light is 300,000, 000 m/s. What is the wavelength of a typical:

a. X-ray with a frequency of 6 x 1018 Hz

b. Microwave with a frequency of 3 x 108 Hz

3. The speed of light is 300,000, 000 m/s. What is the frequency of a typical:

a. Infrared wave with a wavelength of 5 x 10-2 Hz

b. Gamma wave with a wavelength of 3 x 10-12 Hz

Spectra

· A continuous spectrum contains all the frequencies of visible light without gaps

· Energised elements give out light in Emission Spectra. But they give out only a few frequencies so the spectra is mostly black.

· If white light hits the same element it absorbs only a few frequencies , giving an almost continuous Absorption Spectrum that is the opposite of the Emission Spectrum.

Using Emission spectra can allow a researcher to identify an unknown element from the frequencies of light it emits when subjected to high voltage.

So what?

Line Spectra are important evidence for shells (energy levels).

The theory relies on understanding the idea of Quantisation of Energy.

This states that light energy exists as units called photons (rather than waves).

The energy of the photon is given by Planck’s Equation

h – is the Planck Constant (you don’t need to learn it)

{Since, c=νλ we can write ν= c/λ}

When energy is given to an atom its electrons will be in the Ground State but will be raised to a higher energy level (the electron is “excited”).

When it loses energy the electron emits the energy as a photon with energy exactly equal to the difference in the Ground State and the excited state.

And because there are only a limited number of energy states to fall from, there are only a few different colours of light that can be given out.

Lyman, Balmer, Paschen.

· Energy levels converge (get closer as they get further from the nucleus.

Falling back to n=1 is always a bigger drop in energy than dropping back to any other level.

· So, the Lyman Series (frequencies emitted dropping to n=1) have the highest frequency, while the Paschen Series is much lower.

· We can only see the Balmer Series (dropping to n=2)

· Since the levels converge they gradually get so close that it’s impossible to distinguish between them – we call this n=∞, or the Convergence Limit.

· If an electron reaches n=∞ it has left the atom – ionisation.

VIDEOS

Questions.

1. An element’s Emission Spectrum contains a line at 6 x 1014 Hz. The Planck Constant (h) is 6.6 x 10-34.

The speed of light is 300,000,000 m/s.

  • Calculate the difference in energy between n=3 and n=2.


  • It contains another line at 8 x 1014 Hz when the electron drops from 4=4 to n=2. Use this information to find the energy difference between n=3 and n=4.


Heisenberg and Schrödinger

You don’t need to know anything but the bare facts about either Heisenberg or Schrödinger.

Heisenberg’s Uncertainty Principle.

It’s impossible to know both the exact position and the momentum of a particle at the same time. Knowing one makes the other uncertain.

Why? Physics – therefore, no one cares.

Schrödinger Equation.

Light can exist as waves or photons.

Therefore electrons can be waves as well as particles.

Schrodinger generated wavefunctions (Ψ)to describe electrons.

Ψ2 = probability of finding an electron at a point r from the nucleus (probability density)

It is highly unlikely that you’ll be asked anything about this but....

o LEARNthat an orbital is an area with a 99% chance of containing an electron.

Orbitals

If we plotted the position of an electron around a nucleus over a time period it might look something like this....

We could then plot the area that the electron was in 99% of the time and this is the shape of the orbital.

Every shell contains 1 spherical orbital called an s orbital.

The higher the principal quantum number, n, the bigger the s orbital.

Every shell after n=1 also contains 3 p orbitals which are not spherical.


o LEARN – to draw s orbitals and also px, py and pz orbitals.

s, p, d, f orbitals

Every time the principal quantum number increases we add another type of orbital (sub-shell) to the shell

So,

o Shell 1 contains only s

o Shell 2 contains s and p

o Shell 3 contains s p and d

o Shell 4 contains s, p, d and f orbitals

And each new sub-shell contains 2 more orbitals than the previous subshell.

Look at the Periodic Table.

At every Principal Quantum number there is 1 s orbital containing only 2 electrons

Shell 2 (and every subsequent shell) contains 6 more electrons in 3 p orbitals

Shell 3 also contains 10 electrons in 5 d orbitals.

Shell 4 contains 14 electrons in 7 f orbitals.

§ LEARN the rule Total electrons in Shell = 2n2

VIDEOS

Filling the Orbitals

The Aufbau principle – says you must fill the lowest energy orbital before putting any electrons in a higher energy orbital.

So you can’t put any electrons in the 2s orbital until the 1 s orbital is full, and you can’t put any electrons in a 2p orbital until the 2s orbital is full

The Pauli Exclusion principle – says that every orbital holds a maximum of two electrons, and that these must have opposite spin.

Hund’s rule – says that when there are orbitals at the same energy they must be singly filled first.

Applying the rule

Eg Oxygen is 8O so we have 8 electrons to fill the orbitals

  • We have to fill 1s before putting any electrons in 2s

  • We have to fill 2s before putting any electrons in 2p

  • We have to singly fill 2p before pairing the last remaining electron

  • We could write 1s2 2s2 2p4

Carbon is 6C so we have 6 electrons to fill the orbitals.

  • We have to fill 1s before putting any electrons in 2s

  • We have to fill 2s before putting any electrons in 2p

  • We don’t have enough electrons to singly fill all 2p orbitals

  • So, 1s2 2s2 2p2

VIDEOS

Question

Fill in the electron box models for 1H to 18Ar

Breaking the Rules?

We’ve already seen that energy levels get closer as the principal quantum number, n, increases.

And that s orbitals are always lower energy than p, which are lower energy than d etc

Which leads to a problem when we get to the 3d & 4s levels.

Because the 4s level is actually lower than the 3d level.

So, 4s should always be filled first.

And it usually is, but Cr and Cu are exceptions

Question.

Fill the electron boxes for elements 19 to 36

Condensed Electron Configurations

The electron configuration for Sodium is 1s2 2s2 2p6 3s1

The electron configuration for Aluminium is 1s2 2s2 2p6 3s2 3p1

Writing the whole configuration each time is a pain. So we sometimes write condensed configurations based on the nearest Nobel Gas and simply write down the incomplete shell.

So, the electron configuration for Neon is 1s2 2s2 2p6

We can write Sodium as [Ne] 3s1 and Aluminium as [Ne] 3s2 3p1

Questions

Write condensed electron configurations for:

1. Mg

2. Mg2+

3. Sc

4. Zn

5. S

6. F-

7. O2-

8. Na+

9. Al3+

10. P3-

Transition Metal ions.

Everything about 4s and 3d orbitals is a bit of a pain.

LEARN – the first electron Transition Elements lose are always the 4s electrons

So, Iron is Fe = [Ar] 3d6 4s2

But Fe2+ = [Ar] 3d6 4s0 or just [Ar] 3d6

And Fe3+ = [Ar] 3d5 4s0 or just [Ar] 3d5

Question


Write Condensed electron configurations for:

1. Sc 3+

2. Zn2+

3. Cr3+

4. Mn2+

5. Cu+

6. Cu2+