The mass to use in the expression for the vibrationalfrequency of a diatomic mol

Question

The mass to use in the expression for the vibrationalfrequency of a diatomic molecule is the effective mass=mAmB/(mA+mB),where mA and mB are the masses of theindividual atoms. The following data on the infraredabsorption wavenumbers (in cm-1) of molecules are takenfrom Spectra of diatomic molecules, G. Herzberd, vanNostrand (1950): H35Cl      H81Br      HI         CO      NO 2990      2650       2310     2170    1904 Calculate the force constants of the bonds and arrange them inorder of increasing stiffness. The mass to use in the expression for the vibrationalfrequency of a diatomic molecule is the effective mass=mAmB/(mA+mB),where mA and mB are the masses of theindividual atoms. The following data on the infraredabsorption wavenumbers (in cm-1) of molecules are takenfrom Spectra of diatomic molecules, G. Herzberd, vanNostrand (1950): H35Cl      H81Br      HI         CO      NO 2990      2650       2310     2170    1904 Calculate the force constants of the bonds and arrange them inorder of increasing stiffness.

Explanation / Answer

We Know that :       = 1 / 2C K /       K = 42C2 2 x                                         K = Force constant                                          C = Velocity of light                                            = Frequency of bond strength                                             = Reduced mass          HCl = 0.9722 ; HBr = 0.9870 ; HI = 0.9921 ; CO = 6.857 ; NO = 7.466     KHCl = 8691565.22 ; KHBr = 6931207.5 ; KHI = 5293944.81 ; KCO = 32288927.3 ; KNO = 27065862.656          KNO > K CO > KHCl > K HBr > K HI          KNO > K CO > KHCl > K HBr > K HI

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