The J=0 to J=1 transition fro 12C16O carbon monoxide occurs at 1.153x105 MHz. Calculate the value of the bond length in CO.
2B = h/(4π2I)
μ = m1*m2/(m1+m2)
I = μr2
The Attempt at a Solution
I = 6.61x10-34/ (4*π2*1.153x108) = 1.45x10-43 kg m2
μ = 12.01*16.00/(12.01+16.00) *1.661x10-27 = 1.14x10-26kg
r = √(I/μ) = √(1.45x10-43/1.14x10-26) = 2.52x10-9 m or 2520 pm, which is significantly larger than the observed value of 113 pm.
Does anyone see where I went wrong?