Ch7 Lec 5

(4/27/20, bes)

Welcome to your afternoon lecture...as opposed to online..."lab"...as always...please take notes (no need to turn anything in), the WA will test your understanding...

Atomic Orbitals

Here is a slightly different version of the hydrogen atom energy level diagram. As you will recall, this idea of "quantized" energy levels was a result of some experiments that resulted in the formulation of quantum mechanics. The electron exists in the lowest energy state, the 1s orbital, unless this electron is excited to higher energy levels.

In the following version of the energy level diagram, i have places a few "excited" electrons...complete the following table to identify the quantum numbers with each of these electrons.

color	n - principal	l -angular	ml - magnetic	ms - spin
purple
orange
green
red

Multi-electron Energy Levels

The hydrogen atom is special in that it only contains 1 electron. When a second electron (or more) is added into the atom, there is a BIG change in the energy levels. Below is the energy level diagram for a multi-electron system...note the following:

1) relative to the s-orbitals, the p-orbital energy levels is shifted up,

2) relative to the p-orbitals, the d-orbital energy levels are shifted up,

3) relative to the d-orbitals, the f-orbital energy levels are shifted up,

Electron Configuration

It is best to keep the above picture of the multi-electron energy level diagram in your "head." Let's start to discuss how the electrons are placed into these energy levels..

2-electrons or Helium

Keep in mind that electrons are lazy...they prefer to be in the lowest energy state. So for a 2-electron system (aka He) on first observation you might suggest that electron 1 be placed in to the 1s orbital and then electron 2 be placed in the next orbital, 2s orbital. Well...as you probably know (if you took chem in high school) that each orbital can contain 2 electrons. The first problem that arises from having 2 electrons in the same orbital is that you cannot specifically distinguish the electrons from each other using quantum numbers...

n = principal quantum number

l = angular momentum quaantum number

m_l = magnetic quantum number...and now...we add a 4th Q#...

m_s = spin quantum number.

The "Pauli Exclusion Principle" says that all electrons must have a unique set of quantum number...this makes perfect sense...it is like an personal mailing address or email...2 people cannot have the same email!!!

Below are the helium electron energy levels with 2 electrons...note that there is a red and blue electrons denoted by a half-arrow:

- the red electron is "spin up" assigned an m_s = +1/2

- the blue electron is "spin down" assigned the m_s = -1/2

- the electron configuration is abbreviated as 1s² <--this means the 1s orbital has "2" electrons in it.

3-electrons or Lithium / 4-electrons or Beryllium

in the 3-electron system or lithium, the 3rd electron goes into the 2s orbital. Additionally, the 4-electron system or Beryllium fills the 2s orbital:

- The electron configuration for Lithium is 1s² 2s¹ (one - s -two, two - s - one <-- this is how we say it)

- The electron configuration for Beryllium is 1s² 2s² (one - s -two, two - s - two <-- this is how we say it)

5-electrons or Boron / 6-electrons or Carbon

As before, the next electron is added into the next orbital, 2p. Carbon has 6 electrons so where does the 6th on go?

- it could pair up with the 5th electron, or

- it could go into its own orbital, another 2p.

ANSWER: Hund's rule tell us the when filling electrons into orbitals at the same energy level that we need to fill all empty orbitals before pairing up...if you have 2 bedrooms for your kids, the kids would not share a room until the third kid can along.

The electron configuration for boron is 1s² 2s² 2p¹ (one - s -two, two - s - two, two - p - one)

The electron configuration for carbon is 1s² 2s² 2p² (one - s -two, two - s - two, two - p - one)

Note: the electron configuration does NOT have information about which p-orbital the electron is in.

Can you identify each electron is the figures above using quantum numbers?

END of "lab"...have a great evening...bes