#6 and #7 Please Speed of an electron trapped in a box. Compute the average spee

Question

#6 and #7 Please

Speed of an electron trapped in a box. Compute the average speed of an electron in the ground state trapped in a ID box of length 5 A. State your answer in terms of a percent of the speed of light. This "zero point mean speed" should be non-zero, which implies that quantum mechanically the electron is never truly at rest. UV absorption of hexatriene. A very crude model of the 7r electrons in conjugated molecules treats them as moving in a ID box. Using this approximation, predict the energy of the lowest electronic transition (HOMO rightarrow LUMO; pi rightarrow pi*) for the 1, 3, 5-hexatriene molecule (C_6H_8). and explain your reasoning.

Explanation / Answer

Energy of electron=(h*h)/(8mL*L) =2.4*10(-19)

Equating it to E=0.5mv*v

We got v=7.28*10(5) m/a=0.0024c

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.