particle in a box

Question 1

for a particle in a box, what is the potential energy outside the box?

Answer 1

infinity

Question 1

for a particle in a box, what is the potential energy inside the box?

Answer 1

zero

Question 2

what is a characteristic of a wave function that fits?

Answer 2

the number of oscillations perfectly fits corner to corner in the box

Question 3

what is a characteristic of a wave function that does not fit

Answer 3

the number of oscillations will not perfectly fit from corner to corner

Question 4

what is a node?

Answer 4

it is a region where the wave function is zero

Question 5

if you increase the quantum number n, what happens to the amount of nodes and energy?

Answer 5

the amount of nodes increases and the energy will increase as well

Question 6

for the ground state energy level, is the energy for a particle in a box zero?

Answer 6

no, it is a nonzero value because it always has some kinetic energy and is moving

Question 7

what is the zero point energy

Answer 7

it is the energy of the ground state

Question 8

for a conjugated system, how long is the box?

Answer 8

length of carbon chain