7B The fundamental vibrational wavenumber ( ) for 12C 16O molecule is 2169.8 cm-1 A. Determine the force constant (k) of 12C 16O.
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7B
The fundamental vibrational wavenumber ( ) for 12C
16O molecule is 2169.8 cm-1
A. Determine the force constant (k) of 12C
16O.
B. Calculate the value of for 13C
16O.
Show all calculations and units. Explain reasoning.
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- SAMPLE PROBLEMS & SOLUTIONS Example 1: The interacting potential energy between two ions is represented by the following expression: -1.252 5.625 x 10-6 U = ..Eqn(1) r8 Where (r) is the distance in nm (1nm = 10-m) (U) is in kJ Calculate: a) The equilibrium distance ro in nm. b) The minimum bond energy in kJ. c) The maximum interionic force for the bond in kN.1. Cohesive energy of bcc and fcc neon. Using the Lennard-Jones potetial, calculate the ratio of the cohesive energies of neon in the bcc and fcc structures (Ans. 0.958). The lattice sums for the bcc structures are Σ;pi12 = 9.11418; Σ;pij6 = 12.25331. Enumerate the microstates of p3. Determine the MS and ML values for each microstate. 2. On a table of possible MS and ML values, tally the microstates in no. 1 for a particular combination of MS and ML 3. Based on the table in no. 2, determine the atomic term symbols for the allowed atomic states of p3 resulting from the coupling of orbital and spin angular momentums. 4. Arrange the term symbols in no. 3 according to increasing energy.
- 6. Consider the bond vibration of a homo-atomic diatomic molecule. In the harmonic approximation the vibrational energy levels are given by, E₂ = (v + 1 ) Aes -1 S Where v = 0,1,..., ∞ and w = 6.1 × 10¹4 s−¹. Let us assume this vibrational mode is IR active. A photon of energy E = hc/ is absorbed by the molecule and induces a fundamental vibrational transition. (a) What is the wavelength of the resulting IR absorption peak in nm?.7 The fundamental vibrational wavenumber ( ṽ) for 1H 127I molecule is 23096 cm-1 A. Determine the force constant (k) of 1H 127I B. Calculate the value of for 2H 127I. Show all calculations and the units. Explain the reasoning