PLEASE WRITE LARGE AND CLEAR A new planet is discovered to have diatomic hydrogen molecules. On...
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...
There are two main types of isotopes of Bromine in the nature, one is 79Br with the atomic mass of 79 amu, and another one is 81Br with the atomic mass of 81 amu. The force constant (k) of both the diatomic molecule H79Br and H81Br is 381 N/m. Assuming both molecules are harmonic oscillators. (a) Calculate the fundamental vibrational frequency (ν) of H79Br. Report your value in Hz. (b) Calculate the zero-point energy (E0) of H79Br. Report your value...
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...
A gas bottle contains 7.72x1023 Hydrogen molecules at a temperature of 337.0 K. What is the thermal energy of the gas? (You might need to know Boltzmann's constant: kB = 1.38x10-23 J/K.) Submit Answer How much energy is stored in ONE degree of freedom for the whole system? Submit Answer Tries 0/12 What is the average energy of a single molecule? Submit Answer Tries 0/12 On average how much energy is stored by ONE degree of freedom for ONE single...
8. (32 points) Scientists have studied excited electronic states of molecules by a variety of experimental techniques. The following data were obtained for an excited electronic state of Mgo. rotational constant, B = 0.5014 cm vibrational constant, .= 632.5 cm a) At what energy (in cm) and wavelength (in um, where 1 um = 10 m) will the J = 6 to J - 7 rotational transition occur for this electronic state of Mgo? b) What is the value for...
SOLVE THE 3RD ONE INCLUDE ALL THE STEPS 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 rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant...
Solve 1st one asap 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 rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant k-1,550 N m In...
This problem is a GRADED problem. As you do these calculations, notice the effect of the reduced mass of the molecule on the spacing of the rotational lines in its spectrum. Assume the molecules are rigid rotors. Use Equation 1 on in Model 1 of Spectroscopy 8.1 to derive an equation for the energy difference between a rotational energy level with J and a rotational energy level with J+1. Then determine the energy difference for LH (Be- 7.5137315 cm-1) for...
need # 4 or 5 o Vibrational spectroscopy of the NO molecule (with absorption at 1878 cm isotope masses of No14 and 0-16, respectively) reveals Assuming that this transition represents the energy spacing between vibrational energy levels, calculate the force constant of the bond Assuming that the "N"O molecule has a bond with the same force constant as in part a, predict the position (in cm) of the absorbance peak for this molecule. 1. a. b 2. Normalize the first...
Mass-String-Damper system: The molecular bond due to intermolecular forces is flexible. A diatomic molecule like oxygen (O_2), if disturbed, will oscillate to and fro the equilibrium position ( minimum potential energy) approximated by the equation: mu d^2x/dt^2+kx=0 Where mu is the reduced mass of the system mu = m_02 / 2 and k is the spring constant. The mu for the Oxygen molecule (O_2) is 1.33 x 10^-26 kg and k =1195 N/m. What is the natural frequency of O_2...