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1. Explain the difference the difference in the way the experiments are set up and the...
The rotational constant of CO is 1.92 cm - 1 : (a) What is the bond...
The rotational constant of CO is 1.92 cm - 1 : (a) What is the bond length of CO? (b) Calculate the lowest three energy levels of CO , the energies of transitions between them, and sketch out their absorptionspectrum.
In the ro-vibrational model for spectra of diatomic molecules, the total rotational and vibrational energy for...
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...
1. Carbon nanotubes are large cylindrical molecules made up of a network of covalently bound carb...
1. Carbon nanotubes are large cylindrical molecules made up of a network of covalently bound carbon atoms. The electrons in carbon nanotubes can be considered as particles in a one-dimensional box. For a nanotube of length 30 nm what is the probability of an electron being within 10 nm of the centre of nanotube if the electron is in the state n 3? a. b. What wavelength of light is needed to excite the electron from the n-2 to n...
SECTION A Question 1. Quantum Mechanics and Mathematics for Chemists (a) Chlorine has two isotopes, 35Cl...
SECTION A Question 1. Quantum Mechanics and Mathematics for Chemists (a) Chlorine has two isotopes, 35Cl and Cl; the vibrational frequency The force constant of the H-CI bond can be considered to be indepen vibrational frequency of HasCl is 2980 cm . considered to be independent of the isotopes that constitute the molecule. For the molecule D"CI, calculate: () The force constant for the bond. (ii) The vibrational wavenumber in cm- (b) An IR spectrum was collected from a mixture...
Consider a CO molecule. The reduced mass is 1.14 x 10-26 kg. a) In Co the...
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...
Problem # 3 (15 points) Consider a CO molecule. The reduced mass is 1.14 x 10-26...
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...
-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...
-26 Problem #3 (15 points) Consider a CO molecule. The reduced mass is 1.14 x 10kg....
-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...
1. For each of the diatomic hydrides listed below, do the following: (a) For each hydride,...
1. For each of the diatomic hydrides listed below, do the following: (a) For each hydride, calculate the force constant in centimetre-gram-second (CGS) units (b) For each hydride, calculate the bond length (in A) from the rotational constant. (c) Assuming the force constant does not change upon isotopic substitution, cal- culate the harmonic vibrational frequency, we, (in cm-) of the deuteride. (d) Assuming the bond length does not change upon isotopic substitution, calculate the rotational constant, B, (in cm1) of...
The molecule 'H'F has a bond length of 0.9256 Å (9.256 x 10-11 m) and a...
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...
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...
1. Carbon nanotubes are large cylindrical molecules made up of a network of covalently bound carbon atoms. The electrons in carbon nanotubes can be considered as particles in a one-dimensional box. For a nanotube of length 30 nm what is the probability of an electron being within 10 nm of the centre of nanotube if the electron is in the state n 3? a. b. What wavelength of light is needed to excite the electron from the n-2 to n...
SECTION A Question 1. Quantum Mechanics and Mathematics for Chemists (a) Chlorine has two isotopes, 35Cl and Cl; the vibrational frequency The force constant of the H-CI bond can be considered to be indepen vibrational frequency of HasCl is 2980 cm . considered to be independent of the isotopes that constitute the molecule. For the molecule D"CI, calculate: () The force constant for the bond. (ii) The vibrational wavenumber in cm- (b) An IR spectrum was collected from a mixture...
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...
-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...
-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...
1. For each of the diatomic hydrides listed below, do the following: (a) For each hydride, calculate the force constant in centimetre-gram-second (CGS) units (b) For each hydride, calculate the bond length (in A) from the rotational constant. (c) Assuming the force constant does not change upon isotopic substitution, cal- culate the harmonic vibrational frequency, we, (in cm-) of the deuteride. (d) Assuming the bond length does not change upon isotopic substitution, calculate the rotational constant, B, (in cm1) of...
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...
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