C) [10 pts) The predicted spring constant of the hydrogen-hydrogen bond from the calculation is 652...
100 a) (10 pts) What are the vibrational wavenumbers and frequencies for the C-H bond and the CC bond? Transmittance Jimmy CEC CEC Alkyne 1,000 500 4,000 3,000 2,000 1,500 cm-1 b) (10 pts) Calculate the force constant of the CC bond. c) (10 pts) Can we use the reduced mass only to explain the difference in wavenumbers of the C-H and CC bonds? Support your answer by detailed calculations. d) Calculate the optical transition energy and wavelength of light...
(20 pts) 6. (a) Consider a molecule with two Franck-Condon active vibrations with "Trequencies" Vi = 600 and v2=1500 cm-1, with displacement parameters λι = 1.0 and λ2-2.0 for electronic excitation to a certain excited electronic state. All other vibrations have λ=0. Make a table of the transition wavenumbers and Frack-Condon values for all vibronic transitions from the 0 vibrational level of the ground state that includes all combinations and overtones with vibrational energy below 4000 cm. (b) What fraction...
The molecule 'H'F has a bond length of 0.9256 Å (9.256 x 10-11 m) and a spring constant, k, of 920 Nm"! The atomic masses are 1.007825 g mol-' for 'H and 18.998403 g mol-' for ''F. (a) Calculate the energy difference between the two lowest rotational states for 'H°F? Express your answer in cm! Calculate the energy difference between the two lowest vibrational states for 'H'F? Express your answer in cm! Assuming that we have a 1 cm x...
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...
Question 5 1 pts A horizontal spring with spring constant 30 N/m is compressed by 5 cm by a 10 gram mass. After the mass is released, it accelerates due to the potential energy of the spring. Use conservation of energy to determine what speed the 10 gram mass reaches after being pushed by the spring. Answer in units of m/s and round to 3 significant figures.
A H2 molecule can be approximated by a simple harmonic oscillator with spring constant 1000 N/m. Note: you must use the reduced mass µ H = 1 2mH for this kind of problem. (a) Find the ground state energy in eV. (b) Find all possible wavelengths of photons emitted as the molecule decays from the third excited state eventually to the ground state.
35. When the electron in a hydrogen atom falls from its first excited energy level to the ground state energy level, a photon with wavelength l is emitted. A proton having this same wavelength would have a velocity of a. 3.87 m/s. b. 5990 m/s. c. 1.21 ´ 10-7 m/s. D. 3.26 m/s. e. 5.99 m/s. answer is D
What is the force constant of the bond (spring constant) of Br2 if the wavenumber of the fundamental vibrational transition takes the value given? Assume the vibrations of the molecule can be represented by a simple harmonic oscillator in this case. Use mass bromine = 79.904 . Please give your answer in SI units. w = 5.6471 x 10^2 cm-1
10. The electron in a hydrogen atom undergoes a transition from the 3rd excited state (n=4) to the ground state (n=1). How much energy, in eV, will be given off by the electron? Use three significant figures. Note that, for hydrogen, E1 -13.6 eV.
Tim Question 1 1 pts Atte OM The force constant for the bond in an HCl molecule is k = 5 16 J m2. The mass of an 1H atom is 1.008 g/mol and the mass of a 35CI atom is 34.97 g/mol. Use this information to calculate the vibrational frequency, Ve, for a molecule of 1H35CI. Report your answer in units of 1/s. Question 2 1 pts The vibrational frequency for the H2 molecule is v=1.32x 1014 s 1...