Exam 42: Molecules and Condensed Matter

The vibrational frequency of an HF molecule is 8.72 × 10¹³ Hz and the reduced mass of the molecule is 1.589 × 10^-27 kg.What is the ground state vibrational energy of an HF molecule? (1 eV = 1.60 × 10^-19 J,h = 1.055 × 10^-34 J • s,h = 6.626 × 10^-34 J • s)

The energy gap between the valence and conduction bands in a certain semiconductor is .What is the threshold wavelength for optical absorption in this substance? ,1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J • s)

If one metal has double the number of conduction electrons per unit volume of a second metal,then its Fermi level (energy)is how many times that of the second metal?

A diatomic molecule has 18 × 10^-5 eV of rotational energy in the l = 2 quantum state.What is its rotational energy in the l = 0 quantum state?

A diatomic molecule is vibrating in its first excited quantum state above the ground state.In that excited state,its frequency is 2.0 × 10¹³ Hz.What is the energy of the molecule in this state? (h = 6.626 × 10^-34 J • s,h = 1.055 × 10^-34 J • s,1 eV = 1.60 × 10^-19 J

An unfilled electron state in the valence band is called

If a metal had a Fermi level (energy)of 5.0 eV,what would be the average energy of the electrons at 0 K?

A certain diatomic molecule emits a photon of energy 1.20 eV when it makes a transition from the n = 1 vibrational state to the next lower vibrational state.What is the frequency of vibration of the molecule? (h = 6.626 × 10^-34 J • s,h = 1.055 × 10^-34 J • s,

In a p-type semiconductor,a hole is

A metal has a Fermi level (energy)of 5.50 eV.At 1200 K,what energy will have a 90% occupancy probability? (m_el = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J • s,Boltzmann constant =

When a certain diatomic molecule undergoes a transition from the l = 5 to the l = 3 rotational level,the emitted photon has wavelength Calculate the moment of inertia of the molecule.(c = 3.00 × 10⁸ m/s,e = 1.60 × 10^-19 C,h = 6.626 × 10^-34 J • s, h = 1.055 × 10^-34 J • s)

What is the occupancy probability at an energy of 12.00 eV for a material with a Fermi energy (level)of 11.63 eV at a temperature of 500 K? (m_el = 9.11 × 10^-31 kg, ,Boltzmann constant = 1.38 × 10^-23,1 eV = 1.60 × 10^-19 J)

A p-type semiconductor has a net positive charge.

A rotating diatomic molecule in its l = 1 quantum state has energy E.What is the energy of the same molecule in its l = 2 quantum state?

Estimate the rotational energy (in eV)for a diatomic hydrogen molecule in the l = 2 quantum state.(The equilibrium separation for the H₂ molecule is 0.074 nm.) , ,h = 1.055 × 10^-34 J • s,m_h ≈ m_proton = 1.67 × 10^-27 kg)

A certain molecule has 2.00 eV of rotational energy in the l = 1 state.In the l = 4 state,what would its rotational energy be?

A diatomic has a moment of inertia of 7.73 × 10^-45 kg∙ m².What is its rotational energy in the quantum state characterized by l = 2? (h = 6.626 × 10^-34 J • s,h = 1.055 × 10^-34 J • s,

A vibrating diatomic molecule has vibrational quantum number n.The energy DIFFERENCE between adjacent energy levels

A certain diatomic molecule emits a photon of energy 1.20 eV when it makes a transition from the n = 1 vibrational state to the next lower vibrational state.If the molecule made a transition from the n = 2 state to the n = 1 state,what would be the energy of the photon it would emit? (h = 6.626 × 10^-34 J • s,h = 1.055 × 10^-34 J • s,1 eV = 1.60 × 10^-19 J)

Approximately how many states in the range from 5.0 eV to 5.2 eV are there in a copper bar of volume 5.3 cm³? (h = 6.626 × 10^-34 J • s,h = 1.055 × 10^-34 J • s, ,