Penfold L3

Question 1

What is the zero point energy

Answer 1

zero point energy is the lowest possible energy that a quantum mechanical system may have.

Question 2

How does translational energy arise

Answer 2

translation energy arises due to whole body movements in x,y and z directions

Question 3

How does rotational energy arise

Answer 3

rotational energy arises due to whole body rotation around one or two independent axes

Question 4

How does vibrational energy arise

Answer 4

vibrational energy arises due to oscillation of bond length or angle

Question 5

Describe particle in a box

Answer 5

quantum particle has been placed in a box, the potential energy in the box is 0 but at the edge of the box at the boundary the potential goes to infinity.

Question 6

Why does the potential energy go to infinity at the boundary

Answer 6

Is to confide the particle within the boundary of the box

Question 7

For the particle in a box what doe the following terms in the equation mean
E, n, ħ, m, L

Answer 7

E - energy of the particle at quantum level n
n - quantum number/ energy level
ħ - reduced mass
m - mass of the particle
L - length of the box

Question 8

What is n

Answer 8

n is the quantum number

Question 9

How do we calculate the number of nodes

Answer 9

number of nodes = n-1

Question 10

Describe the consequence of quantisation

Answer 10

the particle in a box never comes to rest and always have some kinetic energy n=1 level is the lowest energy we can energy

Question 11

How do we calculate zero point energy

Answer 11

ZPE = h^2/8mL^2 = ħ^2pi^2/2mL^2

Question 12

What are the uses for particles in a box

Answer 12

Particle in the box can calculate transitions that correspond to the absorption spectra in the polyenes

Question 13

What is the equation for particles in a ring

Answer 13

Ej = j^2ħ^2/2mR^2
J - rotational level
ħ - h/2pi
m- mass
R - radius