Question

Vibration and Rotation Exercise 4 Part E ReviewI Constants Periodic Table Assume that for H5Cl molecule the rotational quantum number J is 9 and vibrational quantum number n0. The isotopic mass of H atom is 1.0078 amu and the isotopic mass of 35CI atom is 34.9688 amu, k 516 N m-1, and Ze = 127.5 pm. Calculate the period for vibration. Express your answer in seconds to three significant figures. Tvibrastional Submit tAn ▼ Part F Calculate the period for rotation. Express your answer in seconds to four significant figures. rotational Submit Part G Complete previous part(s)

Answer 1

Part E:

The period of vibration, T_vib, can be calculated from the following formula:

2π

Reduced mass:

mHMcu 1.0078 * 34.9688 mH + Mc 1.0078 +34.9688

Given, k=516 Nm^-1=516 kg sec^-2.

Therefore, T_vib=2*3.14159/(516/1.627*10^-27)^1/2 sec=1.12*10^-14 sec.

Part F:

1-μ.r2-1.627 * 10-27 * 127,52 kgpm2-1.627 * 10-51 * 127,52 kgm2 21.5 kap 121. kgm

From $\frac{1}{2}I \omega^2=j(j+1)\frac{\hbar^2}{2 I}$ , one has

$\omega=\sqrt{j(j+1)}\frac{\hbar}{ I}$, where j=9.

Therefore,

-2.65 10-4sec.