1 Force constant 'k' is 1896.88 N/m
2. ∆E for the first two vibrational levels is 4.306 * 10^-20 J
03 (5 points) Consider the vibrational spectra of the Co diatomic molecule in its ground electronic...
In the ro-vibrational model for spectra of diatomic molecules, the total rotational and vibrational energy for a given state is: Évj = ū(v + 3) + BJC +1) (Equation 1) where v is the vibrational quantum number and J is the rotational quantum number. Complete the following steps to create a model energy level diagram for a hypothetical diatomic molecule with ✓ = 2000 cm-1 and B = 1 cm-1. i) Draw a horizontal line to represent the ground vibrational...
5.A homonuclear diatomic molecule in its molecular ground state has the following electronic configuration: a) What is the link order? b) What is the multiplicity of spin? c) What is the difference in the stability of the molecule, when ionizing it, removing an electron from the 1π_g molecular orbital or doing it from the 3Sigma_g molecular orbital i'll give you a like so please explain step by step thank you! N a 1o21022032011143017 09 bo
Quantum, 1D harmonic oscillator. Please answer in full. Thanks. Q3. The energy levels of the 1D harmonic oscillator are given by: En = (n +2)ha, n=0. 1, 2, 3, The CO molecule has a (reduced) mass of mco = 1.139 × 10-26 kg. Assuming a force constant of kco 1860 N/m, what is: a) The angular frequency, w, of the ground state CO bond vibration? b) The energy separation between the ground and first excited vibrational states? 7 marks] The...
-26 Problem # 3 (15 points) Consider a CO molecule. The reduced mass is 1.14 x 10 kg. a) In CO the l = 0 to l = 1 rotational absorption line occurs at a wavelength of 2.6 mm (or frequency f= 1.15 x 104 Hz). What is the bond length R (or equilibrium distance between the 2 atoms) of the CO molecule? b) When CO is dissolved in liquid carbon tetrachloride, infrared radiation of wavelength 4.67 um (or frequency...
Problem # 3 (15 points) Consider a CO molecule. The reduced mass is 1.14 x 10-26 kg. a) In CO the l = 0 to l = 1 rotational absorption line occurs at a wavelength of 2.6 mm (or frequency f = 1.15 x 1011 Hz). What is the bond length R (or equilibrium distance between the 2 atoms) of the CO molecule? b) When CO is dissolved in liquid carbon tetrachloride, infrared radiation of wavelength 4.67 μm (or frequency...
-26 Problem #3 (15 points) Consider a CO molecule. The reduced mass is 1.14 x 10kg. a) In Co the l = 0 to l = 1 rotational absorption line occurs at a wavelength of 2.6 mm (or frequency f = 1.15 x 10^1 Hz). What is the bond length R (or equilibrium distance between the 2 atoms) of the CO molecule? b) When CO is dissolved in liquid carbon tetrachloride, infrared radiation of wavelength 4.67 um (or frequency f...
4&5 only thnkyouu :) 3. The force constant for 119F molecule is 966 N/m. a) Calculate the zero-point vibrational energy using a harmonic oscillator potential. b) Calculate the frequency of light needed to excite this molecule from the ground state to the first excited state. 4. Is 41(x) = *xe 2 an eigenfunction for the kinetic energy operator? Is it an eigenfunction for potential energy operator? 5. HCI molecule can be described by the Morse potential with De = 7.41...
Consider a CO molecule. The reduced mass is 1.14 x 10-26 kg. a) In Co the l = 0 to l = 1 rotational absorption line occurs at a wavelength of 2.6 mm (or frequency f = 1.15 x 1041 Hz). What is the bond length R (or equilibrium distance between the 2 atoms) of the CO molecule? b) When CO is dissolved in liquid carbon tetrachloride, infrared radiation of wavelength 4.67 um (or frequency f = 6.42 x 103...
Solve the LAST ONE INCLUDE ALL THE STEPS The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited...
Explain why it is necessary to conduct vibrational tests for structures Q5 (a) (5 marks) The block shown in Figure Q5 has a mass m and is supported on the solid ground by a spring with stiffness k and a parallel viscous damper with damping constant d. An out of balance force F(t) is exerted on the block. Suclh force F(t) is approximated by a harmonic function causing a steady state displacement x(t) shown in Figure Q5 The following relationship...