Answer to Question #102680 in General Chemistry for sakshi

Question

For a particle in one-dimensional box, write the equations for calculating the energy values corresponding to i) n = 1 ii) n = 2 iii) n = 3

Answer 1

The energy of a particle in the 1D box is represented by a formula:

E=n²h²/8mL²

where h is the Planck constant, m is the mass of a particle, and L is the dimension (length) of the box.

So for n=1, n=2 and n=3 the energy values will be h²/8mL², h²/2mL² and 9h²/8mL² respectively.