Using data from Table 9-8,

(a) Compute the vibrational energy of the LiH molecule in its lowest vibrational state.

(b) Compute the reduced mass of LiH.

(c) Determine the force constant for LiH.

(d) From those results, compute an estimate of the LiH bond length and compare your result with the value in the table.

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Table 9-8 Rotational and vibrational constants for selected diatomic molecules Molecule H₂ Liz 0₂ LiH H³5Cl Na ³5C1 K35 Cl K7⁹Br Equilibrium separation ₁ (nm) 0.074 0.267 0.121 0.160 0.127 0.251 0.279 0.294 Frequency f (Hz) 1.32 × 10¹4 1.05 × 10¹3 4.74 × 10¹3 4.22 x 10¹3 8.97 × 1013 1.14 × 10¹3 8.40 × 10¹2 6.93 X 10¹2 Eor (ev) 7.56 × 10-3 8.39 x 10-5 1.78 x 104 9.27 x 104 1.32 x 10-3 2.36 x 10-5 1.43 x 10-5 9.1 x 10-6