Question

Consider the diatomic molecule LiH. Calculate its anharmonicity constant assuming the values given for the fundamental ω¯0→1ω¯0→1 and first overtone ω¯0→2ω¯0→2 vibrational transitions.
[ ω01=1.3588×103cm−1,ω02=2.6716×103cm−1]

Select one:

1.7987×10-2

1.2362×10-2

1.5899×10-2

2.0217×10-2

1.5064×10-2

1.6375×10-2

2.1824×10-2

2.7563×10-2

1.2128×10-2

2.6797×10-2

1.902×10-2

1.6135×10-2

Answer 1

caue Consider the diatomic molecule litt. Fundamental Transition & Won W₂ = (1-2 xe) First overtone WoWg 25 (1-3 xe) 0, 1, 2 are vibrational quantum numbe 7 → Equilibrium position whave number ít - A hau 800 us onstant - WoW = 1,3588x103 aut av (1-2de) – ③ WoW, = 2.67164103 Cm » = 25 (1-3xe) @ 1.3588 x 103 cm 2,6716 x 103 au - C1-2xe) 261-x) (1-2xe) 241.3588x103 (1-3xe) 2.67164103 1-dxe - 1.017218 1-300 - 1-2xe = 1.017218 ( 1 - 3 xe) 1-axe = 1.0172 18- 3.051654 Xe 1.051654X= 0.017218 xe=0.017218 = 0.016372 1.051654 xe = 1.637x10-2 - Answer. 1 xe = 1.6375x1027