More Equations!!!!!

Question 1

Equation for equilibrium bond length.

Answer 1

R_e² = h ÷ 8π²µB_ec

Question 2

B₀ B₁ alpha

Answer 2

B_v = B_e - alpha (v + 1/2)

B_e = B₀ + 0.5 x alpha

alpha = B₀ - B₁

Question 3

Rotational constants - both equations.

Answer 3

Originating from the same level:

• v_R (J) - v_P (J) = ∆₂F’(J) = 2B₁(2J+1)

Terminating at the same level:

• v_R (J-1) - v_P (J-1) = ∆₂F” (J) = 2B₀(2J+1)

Question 4

Change in energy (∆v~)

Answer 4

∆v~ = S(v’, J’) - S(v”, J”)

Question 5

Energy of the harmonic oscillator.

Answer 5

E_n = hv (n + 1/2)

where v = 1/2π `|k_f/µ

Question 6

Energy of anharmonic oscillator.

Answer 6

E_n = hv (n+1/2) - hv²/4De x (n+1/2)²