Question

If the force constant of 14n16o is 1550. n·m−1, determine the wave number of a line in the infrared spectrum of no. the atomic mass of 14n is 14.003 amu, and the atomic mass of 16o is 15.995 amu.

Answer 1

Nitrogen forms : N ≡ N , Oxygen forms: O = O N: 2s2 2p3 O: 2s2 2p4 Bond order for ¹⁴N - ¹⁶O bond: = (number of bonding electrons - number of antibonding electrons)/2 = [ (2 from N +4 from O) - 1 from N ] / 2 = 2.5 m1 = 14u m2 = 16u reduced mass = μ = m1 * m2 / (m1 + m2) = 112/15 = 7.47 u μ = 7.47 * 0.001 kg / 6.023 * 10²³ = 1.239 * 10⁻²⁶ kg k = force constant = 1150 N/m c = speed of light = 3 * 10¹⁰ cm/s