Graphs for S orbitals

Question 1

Graph for 1s: wavefunction

Answer 1

Curve with decreasing slope that will go to 0

Question 1

What are the axis’?

Answer 1

Y will be whatever is being investigated e.g. Ψ orΨ^2
X is the Zr/a_o (essentially radius)

Question 2

Graph for 1s: probability density

Answer 2

Similar to Ψ but more decreasing

Question 3

Graph for 1s: Radial distribution function

Answer 3

Polynomial with one max stationary point

Question 4

Graph for 2s: Wavefunction

Answer 4

Decreasing curve with 1 minimum stationary point then goes constant

Question 5

Graph for 2s: Probability Density

Answer 5

Graph will have curve that goes to 0 with a small bump

Question 6

Graph for 3s: Wavefunction

Answer 6

Decreasing curve with 2 stationary points, 1st is minimum, 2nd is max then will go to 0

Question 7

Graph for 2s: Radial distribution function

Answer 7

Polynomial with 2 maximum stationary points with the second a good bit larger than the first

Question 8

Graph for 3s: Probability Density

Answer 8

Decreasing curve with 2 bumps, second bump is smaller than the first

Question 9

Graph for 3s: Radial distribution function

Answer 9

Polynomial with 3 maximum stationary points, each one is larger than the next

Question 10

Will the graphs touch the axis’?

Answer 10

Yes they will

Question 11

How do we find minimum of where electron can be found?

Answer 11

When the RDF = 0

Question 12

How do we find maximum of where electron can be found

Answer 12

Find the stationary points of the RDF (dP/dr), that are maximums (d^2P/dr^2<0)
Or not also a solution for P=0