Calculate the energies, in Joules, of the v = 0, 1, 2, and 3 vibrational statesfor HCI (osc = 2991 cm-1) and 12 (˜osc = 214.5 cm-1). Make asketch of the energy levels on the same scale

The objective of the question is to calculate the energies of the vibrational states for HCl and I2…

Answered: Calculate the energies, in Joules, of…

Fundamentals Of Analytical Chemistry

9th Edition

ISBN:9781285640686

Author:Skoog

Publisher:Skoog

Chapter27: Molecular Fluorescence Spectroscopy

Section: Chapter Questions

Problem 27.6QAP

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The force constants for ¹H₂ and 79 Br2 are 575 and 246 N-m¹, respectively. The atomic masses for ¹H₂ and 79Br2 are 1.0078 amu and 78.9183 amu, respectively. ▼ ▼ Part F Calculate the ratio of the vibrational state populations n₁/no for 79Br2 at 1190. K. Express your answer to three significant figures. n₁/no = 0.452 Submit Previous Answers Request Answer ΑΣΦ Part G X Incorrect; Try Again; 5 attempts remaining Calculate the ratio of the vibrational state populations no/no for 79Br2 at 280. K. Express your answer to three significant figures. Submit VE ΑΣΦ n2/mo= 0.9679 PRZ Previous Answers Request Answer ?
14.44) The lowest triplet state in naphthalene (C10H8) is about 11,000 cm-1 below then lowest excited singlet electronic level at 77 K. Calculate the ratio of the population in these two states. [Hint: The Boltzmann equation is given by N2/N1 = (g2/g1 exp(-ΔE/kBT), where g1 and g2 are the degeneracies for level 1 and 2.]
The first five vibrational energy levels of ¹H¹27 I are at 1144.83, 3374.90, 5525.51, 7596.66, and 9588.35 cm¹. Treating the molecule as an anharmonic oscillator, estimate the dissociation energy of the molecule in units of reciprocal centimetres (cm-¹). [Note: m(¹H) = 1.0078 u, m(¹271) = 126.9045 u; assume the second order anharmonicity constant, Ye, to be zero.] [Note: Use graph paper in your answer.]
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The three normal modes of water are the symmetric stretch (3652 cm¹), the antisymmetric stretch (3756 cm¹), and the bend (1595 cm¹). (a) Calculate the molecular vibrational partition function of water at 500 K. (b) At 500 K, what fraction of water molecules have the bend excited to v₂=1. What fraction of water molecules have the symmetric stretch excited to v₁=1? Why do more molecules have the bend excited? (c) At 500 K, what fraction of water molecules have both v2-1 and v₁=1 excited?
Starting from the formula for the rotational energy levels: ħ² EJ J(J+1) = J = 0, 1, 2... 21 Show that: ħ² AE = 1/² (J+1) Δε J = 0,1,2...
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Calculate the energies, in Joules, of the v = 0, 1, 2, and 3 vibrational states for HCI (osc = 2991 cm-1) and 12 (˜osc = 214.5 cm-1). Make a sketch of the energy levels on the same scale