Quantum, 1D harmonic oscillator. Please answer in full. Thanks.
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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...
2. The force constant for the CO molecule is 1860 N m-1 a. Calculate the reduced mass of CO. The ...
2. The force constant for the CO molecule is 1860 N m-1 a. Calculate the reduced mass of CO. The ses of C and O are 12.0000 amu and 15.994915 amu. b. Calculate the zero-point vibrational energy of CO If this much energy were converted to translational kinetic energy how fast would the molecule be moving c. d. Calculate the average speed for CO at 298 K using the equation we derived for the kinetic theory of gases and compare...
2. The vibrational frequency of gaseous N O is 1904 cm. Assume this molecule is a harmonic oscillator 2.1 What is the energy of the electromagnetic wave corresponding to this vibrational frequenc...
2. The vibrational frequency of gaseous N O is 1904 cm. Assume this molecule is a harmonic oscillator 2.1 What is the energy of the electromagnetic wave corresponding to this vibrational frequency? 2.2 Calculate the force constant of "NO 2.3 Calculate the vibrational frequency of gaseous N O. The isotopic effect does not change the force constant of the harmonic oscillator. 2.4 When "N'O is bound to hemoglobin A (Hb or Hgb, the iron-containing oxygen-transport metalloprotein in the red blood...
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...
-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...
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...
4&5 only thnkyouu :) 3. The force constant for 119F molecule is 966 N/m. a) Calculate...
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...
i need a solution for these provlems. plz~~ 3) The vibrational energy of a carbon monoxide,...
i need a solution for these provlems. plz~~
3) The vibrational energy of a carbon monoxide, co, molecule in its first excited vibrational state is 3.42 x 10-20 J. Assuming that a carbon monoxide molecule may be treated as a harmonic oscillator with a force constant of k 2170 N m-1, calculate the classical amplitude of vibration for the molecule in this state. a. 5.61 nm *b. 5.61 pm c. 5.61 A d. 56.1 nm 4) The Rydberg constant for...
-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...
(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...
Q 1: For particle in a box problem, answer the following questions, a) Why n=0 is...
Q 1: For particle in a box problem, answer the following questions, a) Why n=0 is not an allowed quantum number? b) En = 0 is not allowed for particle in a box, why? c) Ground state wavefunction is orthogonal to the first excited state wavefunction, what does it mean? Q 2: An electronic system that is treated as particle in 3-D box with dimensions of 3Å x 3Å x 4Å. Calculate the wavelength corresponding to the lowest energy transition...
2. The force constant for the CO molecule is 1860 N m-1 a. Calculate the reduced mass of CO. The ses of C and O are 12.0000 amu and 15.994915 amu. b. Calculate the zero-point vibrational energy of CO If this much energy were converted to translational kinetic energy how fast would the molecule be moving c. d. Calculate the average speed for CO at 298 K using the equation we derived for the kinetic theory of gases and compare...
2. The vibrational frequency of gaseous N O is 1904 cm. Assume this molecule is a harmonic oscillator 2.1 What is the energy of the electromagnetic wave corresponding to this vibrational frequency? 2.2 Calculate the force constant of "NO 2.3 Calculate the vibrational frequency of gaseous N O. The isotopic effect does not change the force constant of the harmonic oscillator. 2.4 When "N'O is bound to hemoglobin A (Hb or Hgb, the iron-containing oxygen-transport metalloprotein in the red blood...
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...
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...
i need a solution for these provlems. plz~~
3) The vibrational energy of a carbon monoxide, co, molecule in its first excited vibrational state is 3.42 x 10-20 J. Assuming that a carbon monoxide molecule may be treated as a harmonic oscillator with a force constant of k 2170 N m-1, calculate the classical amplitude of vibration for the molecule in this state. a. 5.61 nm *b. 5.61 pm c. 5.61 A d. 56.1 nm 4) The Rydberg constant for...
-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...
(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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