Answer to Question #126772 in Physical Chemistry for Aeshel Tabuzo

Question

What is the ground state energy for an electron that is confined to a potentialwell with a width of 0.2 micrometer um?

Answer 1

 Potential well of width (L) = 0.2 × 10^–6 m

For ground state n = 1,

Energy = n²h² / 8mL² .

So , Energy = (1 )². (6.63*10^-34)² / 8 * ( 9.1 *10^-31 ) * ( 10^-6 )² .

Energy = ( 6.63 )² * 10^-25 / 8 * ( 9.1)

Energy = 0.603 *10^-25 j = 6.03 * 10^-26 j . (Answer ) .

Energy = 6.03 *10 ^-26 / 1.6 * 10^-19 = 3.76 * 10 ^-7 ev . ( ANSWER .) .