Question

The Morse Potential gives a reasonable analytical representation for the internuclear potential in a diatomic molecule

V(x)=D_e(1-e^-βx)²

For the diatomic molecule, H 35Cl, the equilibrium bond length is

R_e = 1.275 Å

the dissociation energy is

D_e = 4.436 eV

and the vibrational constant ω_e is

ω_e = 2991 cm^-1

a. What is the value of the dissociation constant of HCl in units of cm-1 and kJ/mol?

b. What are the values of ν and ω?

c. Using a Taylor Series expansion about x=0, show that the harmonic force constant for the Morse potential is

d. Determine the value of β for H35Cl.