In the octatetraene (C8H10) molecule, one π electron is from the top filled level. What should be the length of the electromagnetic wave required to excite it to the lowest empty level? The length of the molecule can be taken as 9.5 Å. The experimental value you found is λ4.5 =3020 Å Discuss whether the particle-in-the-box problem is a good approximation by comparing it with

Q: Calculate the expectation value of x of the quantum harmonic oscillator x from equilibrium when the…

A: the oscillator is in the v = 0 and v = 1 quantum states

Q: (a) between 4.95 nm and 5.05 nm (b) between 1.95 nm and 2.05 nm (c) between 9.90 nm and 10.00 nm (d)…

A: As you not specified so I am giving answer of second question as per guidlines Mass of elctron…

Q: Which of the following transitions between terms are allowed in the electronic emission spectrum of…

A:

Q: The wavefunction of one of the d orbitals is proportional to cos θ sin θ cos ϕ. At what angles does…

A:

Q: Vanadium tetrachloride (VCl4 ) is a bright red colored liquid with a vapor pressure of 5x10-2 torr…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Some atomic properties depend on the average value of 1/r rather than the average value of r itself.…

A: a.

Q: To what speed must an electron be accelerated from rest for it to have a de Broglie wavelength of…

A:

Q: The normalized wave function for a particle in a one- dimensional box in which the potential energy…

A:

Q: The wavefunction of one of the d orbitals is proportional to sin2θ sin 2ϕ. At what angles does it…

A:

Q: Calculate the wavelength and frequency at which the intensity of the radiation is a maximum for a…

A: Every substance absorbs or emits radiation relating to some specific wavelength or frequency. A…

Q: What is (a) the energy. (b) the speed of an electron that has been ejected from an orbital of…

A: a) The expression required to determine the energy is as follows, The calculation is as follows,

Q: The particle on a ring is a useful model for the motion of electrons around the porphine ring, the…

A: Solution -

Q: Describe the following terms in 2-3 sentences only. Quantum Number Principal Quantum Number Angular…

A: 1. Quantum Number: Quantum numbers gives information about the energy level of the electron in an…

Q: What are the allowed total angular momentum quantum numbers of a composite system in which j1 = 5…

A: The values of J ranges from j1 + j2...............j1-j2 .

Q: If a nitrogen molecule is trapped in a hypothetical 1-D box of length 1.10 cm, at what value of the…

A: Translational energy :-            It is the energy which is associated with displacement of a…

Q: 4. A quantum simple harmonic oscillator can be treated as a particle of mass m attached to a spring…

A: Concept:  Energy of quantum simple hormonic oscillator:    E = (n+1/2)hv  Where  E = energy  n =…

Q: Consider again the system in quizzes 1 and 2, namely a particle moving in one dimension described by…

A:

Q: 3) Derive the Radial wave function Rn(r) of the Hydrogen-like systems for the following: a) n = 1, l…

A:

Q: Suppose that a proton of an acidic hydrogen atom is confined to an acid that can be represented by a…

A: We have a proton of an acidic hydrogen atom which is confined to the acid that can be represented by…

Q: Explain the origin of spin-orbit coupling and how it affects the appearance of a spectrum.

A: In Quantum Physics, the interaction of a particle's spin with its motion is called spin orbit…

Q: What is the maximum wavelength of light capable of removing an electron from a hydrogen atom in the…

A: Maximum wavelength means minimum energy...

Q: Write down the expression for the radial distribution function of a 2p electron in a hydrogenic atom…

A: An electron can be described by the wave function, which is a combination of radial distribution…

Q: 2. Write down w*W, for the following wave functions: ikx a. y(x) = e" b. w(x) = e¬x С. Ф(х) %3D а +…

A:

Q: The energy required for the excitation from the 2nd to the 3rd excited levels in a particle moving…

A:

Q: If an electron confined to a potential well of width 1.40 nm with infinite barriers on both sides…

A: Given data:

Q: For spherical polar coordinate system - Zr,Zr, (3² exp(x)sin Cosó 4/2 a 1 2a a Ju„VdV = 8 = ?

A: ψpx2a=142Za3/2exrp(-Zr2a)(Zra)sin θcos∅Now, ∫xx=∫-∞+∞ψpxψpx dV=∫-∞+∞ψpx2dV

Q: Which of the following represents "all space" for a harmonic oscillator? -○くXく○ 00 >X>0 -aくX<a O…

A: The wave function for SHO

Q: The C-H bond in ethanol vibrates at a frequency of 3000 cm ¹. What frequency (s 1) of light is…

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Q: In the octatetraene (C8H10) molecule, what should be the length of the electromagnetic wave required…

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Q: To what speed must a proton be accelerated from rest for it to have a de Broglie wavelength of 100…

A: Given: Wavelength = 100 pm or 1×10-10 m The de Broglie wavelength is given by the expression: λ = hp…

Q: Write the radial part of the wavefunction for the following orbitals: 2s, 3px and 3dyz of the Li2+…

A:

Q: Consider a single particle with rest mass m residing in a one-dimensional space, x. = o for x a,…

A:

Q: a. Normalize the wavefunction Ψ(x) = 1 in a space of 0 ≤ x ≤ ℓ b. Find the probability of finding…

A: a. The normalized wave function can be written as shown below.

Q: Find an expression for the value of n of a particle of mass m in a one-dimensional box of length L…

A: For a one-dimensional box, energy is given as: En = n2h28ml2 The symbols stand for: En = Energy of…

Q: Which of the following transitions are allowed in the electronic emission spectrum of a hydrogenic…

A: Only those transition are allowed  in the electronic emission spectrum of a hydrogenic atom for whom…

Q: The electronic spectrum of the molecule butadiene, H2C=CH–CH=CH2, can be approximated using the…

A: The energy value and ∆E for a particle in a 1D box are as:

Q: 4. Sketch the shape of the ground state wavefunction for a harmonic oscillator, and the wavefunction…

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Q: A hydrogen atom rotates in three dimensions at a fixed distance of 100 pm from a fixed point. Ca…

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Q: Which of the following transitions are allowed in the electronic emission spectrum of a hydrogenic…

A:

Q: Consider a particle trapped in a iD box with zero potential energy with walls at x = 0 and x = L.…

A:

Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.