What is the role of kinetic energy quantization in covalent bond formation? [keywords: particle-in-a-box, length, quantum...

What is the role of kinetic energy quantization in covalent bond formation? [keywords: particle-in-a-box, length, quantum state, energy, kinetic, hydrogen atom, hydrogen molecule, covalent bond energy...]

Expert Solution

The most important conclusion of this thorough and insightful study was that electron kinetic energy plays a crucial role in the formation of a chemical bond. Ruedenberg's contributions to the understanding of the chemical bond have been summarized in the pedagogical literature (7 - 12) and in review articles (13 - 15). There are also at least two encyclopedia entries which give accurate and clear interpretations of covalent bond formation (16, 17).

It is surprising that none of these efforts to make Ruedenberg's work accessible to the non-specialist have had any noticeable impact on the way chemical bonding is presented by the authors of chemistry textbooks currently used in the undergraduate curriculum. While physical chemistry texts avoid the errors cited above, they generally do not attempt to provide an "explanation" of the chemical bond. For example, after outlining the mathematical techniques required to solve Schr

queen_honey_blossom answered 1 year ago

What is the expectation value of kinetic energy for a particle in a box of length...

What is the expectation value of kinetic energy for a particle in a box of length ( L/2 ) in the ground eigenstate (n=1)? What about for the third excited eignestate (n=3). Explain the difference.

Use the quantum particle wavefunctions for the kinetic energy levels in a one dimensional box to...

Use the quantum particle wavefunctions for the kinetic energy levels in a one dimensional box to qualitatively demonstrate that the classical probability distribution (any value of x is equally allowed) is obtained for particles at high temperatures.

1. Translational motion (Particle in a box) We want to design an experiment about energy quantization...

1. Translational motion (Particle in a box) We want to design an experiment about energy quantization of a hydrogen atom via radiating a light. It is needed to predict which range of light do we have to radiate to excite an electron. Let’s assume the electron feels same potential(V=0) in certain distance(L) from the nucleus of hydrogen. 1. Let’s assume L=5.30x10-11m, me(electron mass)=9.11x10-31kg and ℏ=1.05x10-34m2 kgs-1 . (a) Make a Hamiltonian for an electron in a hydrogen atom. (b) Solve...

The kinetic energy of a particle is equal to the energy of a photon. The particle...

The kinetic energy of a particle is equal to the energy of a photon. The particle moves at 6.1% of the speed of light. Find the ratio of the photon wavelength to the de Broglie wavelength of the particle. Take the speed to be non-relativistic.

Briefly explain the quantization of the rotational kinetic energy in two dimensions with a figure. And...

Briefly explain the quantization of the rotational kinetic energy in two dimensions with a figure. And explain what it means to rotate electrons in a hydrogen atom.

What is wave-particle duality of light? What is energy quantization? What is ultraviolet catastrophe? State and...

What is wave-particle duality of light? What is energy quantization? What is ultraviolet catastrophe? State and describe the Rayleigh-Jeans Law.

What are the most likely locations of a particle in a box of length L in...

What are the most likely locations of a particle in a box of length L in the state n = 2 and where are the nodes for this wavefunction? Express your ansers in terms (fractions) of the length L.

An electron is in a #D quantum box with each side having length a0. a) What...

An electron is in a #D quantum box with each side having length a0. a) What is the largest wavelength of light emitted when the electron in the box transitions between levels? Consider only between levels up to the second excited energy level and express your answer in terms of a0. b) What is the smallest wavelength of light emitted when considering every possible transition?

This is a Physical Chemistry Problem: For a particle in a cubic box of length a,...

This is a Physical Chemistry Problem: For a particle in a cubic box of length a, how many states have energy in the range of 0 to 16(h2/8ma2)?

3. Assume that a particle is confined to a box of length L, and that the...

3. Assume that a particle is confined to a box of length L, and that the system wave function is ψ(x)=sqrt(2/L)*sin[(π*x)/(L)] (1) Is this state an eigenfunction of the momentum operator? Show your work. (2) Calculate the average value of the momentum <p> that would be obtained for a large number of measurements. Explain your result. (3) Calculate the probability that the particle is found between 0.31 L and 0.35 L.

Question