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Set 1: (50 pts) 1. (20 pts) The diatomic iodine anion (1:')...
II. (30 pts) The diatomic molecule CO has a vibrational wavenumber of 2170 cm 'and may...
II. (30 pts) The diatomic molecule CO has a vibrational wavenumber of 2170 cm 'and may be treated as a quantized harmonic oscillator. 1. (10 pts) What is the energy of one photon of light which has the same frequency as CO (in J units)? 2. (10 pts) What is the value of the vibrational partition function of CO at 300 K? 3. (10 pts) At what temperature would approximately 5 vibrational quantum states of Co be thermally populated?
Set 1: (50 pts) 1. (20 pts) The diatomic iodine anion (12") has a vibrational frequency...
Set 1: (50 pts) 1. (20 pts) The diatomic iodine anion (12") has a vibrational frequency of approximately 110 cm Predict the total heat capacity of 1, in the gas phase at 300 K.
Problems That Illustrate Core Concepts 1. N2 and CO have approximately the same rota- tion charac...
Problems That Illustrate Core Concepts 1. N2 and CO have approximately the same rota- tion characteristic temperatures of f- 2.9 K and 2.8 K, respectively. Predict the number of thermally populated rotational states in these two molecules at 300 K 2. Cl2 and Br2 have vibrational characteristic temperatures of - 560 K and 323 K, respectively. At what temperature would Cl2 have the same vibrational partition coefficient as Br2 does at 300 K?
Problems That Illustrate Core Concepts 1. N2...
Atkins' Physical C... PZE.4 The force constant for the bond in CO is 1857 Nm ....
Atkins' Physical C... PZE.4 The force constant for the bond in CO is 1857 Nm . Calculate the vibrational frequencies (in Hz) of 'C', 'C', C'80, and 'C'80. Use integer relative atomic masses for this estimate. harmonic the integra and then u 0. (b) Calc section). (c 297 P7E.5 In infrared spectroscopy it is common to observe a transition from the v=0 to v= 1 vibrational level. If this transition is modelled as a harmonic oscillator, the energy of the...
The vibrational frequency of a CO molecule is 6.51x10135-1. What frequency of light is needed to...
The vibrational frequency of a CO molecule is 6.51x10135-1. What frequency of light is needed to excite this molecule from the v=0 vibrational state to the v=1 vibrational state, if it is treated as a harmonic oscillator? Report your frequency as a wavenumber, in units of cm-1. Question 4 1 pts The following table lists the frequency of light absorbed by several different molecules in order to excite their vibrational energy. molecule õ(cm-1) HBr 2649 HCI 2991 NO 1904 In...
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...
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...
8. (10 pts) (a) (6 pts) Suppose a system consists of N noninteracting, indistin guishable, identical particles and th...
8. (10 pts) (a) (6 pts) Suppose a system consists of N noninteracting, indistin guishable, identical particles and that each particle has available to it only two quantum electronic states, whose energies are 0 and a. Find expressions for z, Z and U. Note: Because we don 't consider translational energy here, so the 1/N! should be om itted when writing Z in terms of z (b) (4 pts) For NO, the ground electronic level and the first exited electronic...
please help thank you 7) The position graph allows us to measure the amplitude, period, and...
please help thank you
7) The position graph allows us to measure the amplitude, period, and angular frequency of the oscillations. It should follow the general form for a simple harmonic oscillator: y(t) = Ymaxcos (wt + ), where ymax is the amplitude of the oscillations, o is the angular frequency, and p is a phase constant. To measure the amplitude, use the cursor to measure minimum and maximum displacement values for adjacent oscillations. Take the average of their magnitudes...
could you please help me solving this. like and comment are rewarded. 1. A vacuum bubble...
could you please help me
solving this. like and comment are rewarded.
1. A vacuum bubble forms in a liquid and subsequently collapses. The liquid has density 1g em 3 and pressure equal to 1 standard atmosphere. The initial radius of the bubble is 2 mm. Using dimensional analysis, estimate the duration of the collapse. 2. An astronaut throws a small rock whilst standing on an open plain on Mars. Their hand is moving at approximately 60 km h -...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a). 1) In the application of quantum mechanical and statistical mechanical principles to samples containing large numbers of species (e.g. macroscopic samples of molecules), there is...
II. (30 pts) The diatomic molecule CO has a vibrational wavenumber of 2170 cm 'and may be treated as a quantized harmonic oscillator. 1. (10 pts) What is the energy of one photon of light which has the same frequency as CO (in J units)? 2. (10 pts) What is the value of the vibrational partition function of CO at 300 K? 3. (10 pts) At what temperature would approximately 5 vibrational quantum states of Co be thermally populated?
Set 1: (50 pts) 1. (20 pts) The diatomic iodine anion (12") has a vibrational frequency of approximately 110 cm Predict the total heat capacity of 1, in the gas phase at 300 K.
Problems That Illustrate Core Concepts 1. N2 and CO have approximately the same rota- tion characteristic temperatures of f- 2.9 K and 2.8 K, respectively. Predict the number of thermally populated rotational states in these two molecules at 300 K 2. Cl2 and Br2 have vibrational characteristic temperatures of - 560 K and 323 K, respectively. At what temperature would Cl2 have the same vibrational partition coefficient as Br2 does at 300 K?
Problems That Illustrate Core Concepts 1. N2...
Atkins' Physical C... PZE.4 The force constant for the bond in CO is 1857 Nm . Calculate the vibrational frequencies (in Hz) of 'C', 'C', C'80, and 'C'80. Use integer relative atomic masses for this estimate. harmonic the integra and then u 0. (b) Calc section). (c 297 P7E.5 In infrared spectroscopy it is common to observe a transition from the v=0 to v= 1 vibrational level. If this transition is modelled as a harmonic oscillator, the energy of the...
The vibrational frequency of a CO molecule is 6.51x10135-1. What frequency of light is needed to excite this molecule from the v=0 vibrational state to the v=1 vibrational state, if it is treated as a harmonic oscillator? Report your frequency as a wavenumber, in units of cm-1. Question 4 1 pts The following table lists the frequency of light absorbed by several different molecules in order to excite their vibrational energy. molecule õ(cm-1) HBr 2649 HCI 2991 NO 1904 In...
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...
8. (10 pts) (a) (6 pts) Suppose a system consists of N noninteracting, indistin guishable, identical particles and that each particle has available to it only two quantum electronic states, whose energies are 0 and a. Find expressions for z, Z and U. Note: Because we don 't consider translational energy here, so the 1/N! should be om itted when writing Z in terms of z (b) (4 pts) For NO, the ground electronic level and the first exited electronic...
please help thank you
7) The position graph allows us to measure the amplitude, period, and angular frequency of the oscillations. It should follow the general form for a simple harmonic oscillator: y(t) = Ymaxcos (wt + ), where ymax is the amplitude of the oscillations, o is the angular frequency, and p is a phase constant. To measure the amplitude, use the cursor to measure minimum and maximum displacement values for adjacent oscillations. Take the average of their magnitudes...
could you please help me
solving this. like and comment are rewarded.
1. A vacuum bubble forms in a liquid and subsequently collapses. The liquid has density 1g em 3 and pressure equal to 1 standard atmosphere. The initial radius of the bubble is 2 mm. Using dimensional analysis, estimate the duration of the collapse. 2. An astronaut throws a small rock whilst standing on an open plain on Mars. Their hand is moving at approximately 60 km h -...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a). 1) In the application of quantum mechanical and statistical mechanical principles to samples containing large numbers of species (e.g. macroscopic samples of molecules), there is...
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