Topic 3:

Question 1

What are the spherical coordinates of the Nucleus?

Answer 1

(0,0,0)

Question 2

What are the spherical coordinates of the Electron?

Answer 2

(r, theta, phi)

Question 3

What is the central thesis of the Hamiltonian?

Answer 3

there is always going to be a wavefunction that satisfies

Question 4

What kind of wavefunction is this: psi(r, Theta, phi)

Answer 4

radical

Question 5

What kind of wavefunction is this: R(r)Y(theta, phi)

Answer 5

angular

Question 6

What are the two quantum numbers for radial wavefunctions?

Answer 6

n and l

Question 7

What are the possibilities for n?

Answer 7

{1,2,3…}

Question 8

What are the possibilities for l for radial wavefunctions?

Answer 8

{0,…,n-1}

Question 9

What is the minimum value of l?

Answer 9

0

Question 10

What is the principle quantum number?

Answer 10

n

Question 11

What is the angular momentum quantum number?

Answer 11

l

Question 12

When n=1 what is l?

Answer 12

0

Question 13

When n=2 what is l?

Answer 13

{0,1}

Question 14

When n=3 what is l?

Answer 14

{0,1,2}

Question 15

What is a ‘Hydrogen-like system’?

Answer 15

an element with any # protons but 1 electron

Question 16

What orbital is R10?

Answer 16

1s orbital

Question 17

What orbital is R20?

Answer 17

2s orbital

Question 18

What orbital is R21?

Answer 18

2p orbital

Question 19

What is ao?

Answer 19

Bohr Radius

Question 20

What is a node?

Answer 20

a place where the wavefunction goes to 0

Question 21

What is the probability of finding an electron at the nucleus and why?

Answer 21

0 because there is a spherical geometry to worry about

Question 22

On the graph, where is the most probable place to find an electron?

Answer 22

At the maximum

Question 23

Why doesn’t 2p have a node?

Answer 23

Because the equation would because it to be 0

Question 24

What is the shape of 1s in 3D?

Answer 24

donut

Question 25

What is the shape of 2s in 3D?

Answer 25

bowtie-ish

Question 26

How many nodes does 3p have?

Answer 26

3 nodes

Question 27

What is the equation to find the number of nodes for s orbitals?

Answer 27

n-1

Question 28

What is the equation to find the number of nodes for p orbitals?

Answer 28

n-l-1

Question 29

What kind of nodes do p orbitals have?

Answer 29

angular nodes

Question 30

What are the two quantum number for spherical harmonic wavefunctions?

Answer 30

l and m_l

Question 31

What are the options for l in spherical harmonic wavefunctions?

Answer 31

l= {0,…n-1}

Question 32

What are the options for m_l in spherical harmonic wavefunctions?

Answer 32

m_l= {-l,…,0…,l}

Question 33

What kind of dependence doesn’t the first spherical harmonic wavefunction have?

Answer 33

no angular dependence

Question 34

What is degeneracy?

Answer 34

When multiple wavefunctions give the same outcome

Question 35

What happens when theta = pi/2 for harmonic wave functions?

Answer 35

theta goes to 0 and there is a node