A simple harmonic oscillator is the name for a system in which a particle is pul

Question

A simple harmonic oscillator is the name for a system in which a particle is pulled toward a central point (X = 0) with a restoring force directly proportional to the distance. That is F = -kX where K is known as the spring constant. This system can be used to model many processes in quantum mechanics including chemical bonding and the vibrating of a disatomic molecule. Using what we have does in clas, answer the following: What are the energies of a harmonic oscillator? What is the energy separation between two adjacent levels? the IR frequency of HI occurs at 2310 cm^-1 and the effective mass of HI is 1.66 times 10^-27 Kg. What is the force (spring)constant for HI?

Explanation / Answer

A) Potential Energy stored in harmonic oscillator U= 1/2 k .x2

B) Every system have two type of energy kinetic enegry and potential energy when spring compressed it have elastic potential energy (U= 1/2 k .x2) which later transfer into kinetic energy. At some points system have both energies.

C) Given frequency of HI f=2310 cm-1

Mass of HI m= 1.66*10-27 kg

we know that f=2pi (m/k)-1/2

hence spring constant k= 4pi2*m/f2 =4*9.8*1.66*10-27/23102*10-4 = 1.2*10-28 N/m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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