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Chapter 5: Q34E (page 188)

A 50 electron is trapped between electrostatic walls 200eV high. How far does its wave function extend beyond the walls?

Short Answer

Expert verified

Electron wave extent beyond the walls 未=1.59脳10-11m.

Step by step solution

01

Wave function

Know that, how far the wave function goes beyond the boundaries of the room so utilise the depth of penetration equation.

未=h2m(uo-E)...................(1)

Known values are,

E = 50 ev,

Uo= 200eV.

02

The electron wave beyond the wall.

From the electron volt to joule to convert E and Uo

Multiply by them 1.60218x10-19 then E = 8.0109x10-18 joule and Uo= 3.204x10-17 joule.

Substitute (1) into,

未=1.0545脳10-342脳9.1093脳10-31脳3.204脳10-17-8.0109脳10-18未=1.59脳10-11m

So, the electron wave beyond the wall is 未=1.59脳10-11m.

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