(Solved):   Unit 1. Overview of Quantum Mechanics Course Learning Standard: INT1. (CORE) I can calcula ...

 

Unit 1. Overview of Quantum Mechanics Course Learning Standard: INT1. (CORE) I can calculate the energy of different transitions for atoms and molecules. 1. The \( \mathrm{N}=\mathrm{O} \) bond in nitrosyl chloride has a force constant of \( 1.67 \times 10^{3} \mathrm{~N} / \mathrm{m} \). a. Calculate the wavenumber (in units of \( \mathrm{cm}^{-1} \) ) of the fundamental \( \mathrm{N}=\mathrm{O} \) stretching vibration for the transition from the \( n=0 \) to \( n=1 \) vibrational states. b. What is the relative distribution of ground to excited state for this molecule at room temperature \( \left(25.0^{\circ} \mathrm{C}\right) \) ? Is this transition thermally accessible at room temperature?