9.19 (a) Calculate Ax Apx for a particle in a linear box for n = 1, 2, and 3 using the equation in Example 9.13. Compare these values with the minimum product of uncertainties from the Heisenberg uncertainty principle. (b) What is the uncer- tainty in x for a particle in a 0.2-nm box when its quantum num- ber is unity? In a 2-nm box?

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Q: Imagine a particle free to move in the x direction. Which of the following wavefunctions would be…

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Q: 8.11a Confirm that the operator i = (h/i)d/dø, where ø is an angle, is hermitian.

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Q: 7.2(a) A light atom rotating around a heavy atom to which it is bonded is described by a…

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Q: (a) The position of an electron is known to within 7.18 À (7.18×10-10 m). What is the minimum…

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Q: For a 3d electron in a hydrogenic atom with atomic number Z calculate the most probable radial…

A: Atomic No. = ZBohr radius = a0Probable radial distance = rmp = Need to determine

Q: To what orbitals may a 5f electron in a hydrogenic atom make spectroscopic transitions?

A:

Q: Sketch and ||2 for the n=4 and n=5 states of a particle in a one-dimensional box.

A: n=4 and n=5 states of a particle in a one-dimensional box:

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A: Microstate is defined as total number of distinct arrangements for number of electrons to be placed…

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A:

Q: An electron in an atom is known to be in a state with magnetic quantum number m₁=-1. What is the…

A: There are different types of quantum numbers, such as -Principal quantum number (n)Azimuthal quantum…

Q: Figure 2 shows the boundary surface of 2p orbitals of a hydrogenic atom hree dimensions. (i) What…

A:

Q: 2) Using the Rydberg equation expenimental wavelength for the red line, and the assumption that the…

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A:

Q: 9. The wavefunction for a particle on a ring is: -imp (4) = e what is the normalization constant for…

A: -> Normalisation constant is constant which when multiplied with wave function then it's…

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

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Q: 9. For a spherical harmonic given by (a) What is the value of 1? (b)What is the value of my ? 3 Y…

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Q: Evaluate the probability density at r=1.2a0 for an electron in a 2s orbital of a hydrogen atom

A: Solution -

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A: Given: dV=1.0pm3 Cartesian point- (0,0,75)

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.