Deriving the answer for a quantum question

Let P be the operator x(multiply by x). Let Q be the operator d^2/dx^2 Let f(x)=x^3+4x What is the value of PQf(x)? Quantum question.

The problem highlights some key advanced NMR definitions, that are presentated towards the end of the undergraduate NMR course. The solution provides concise informative definitions that are frequently required by examiners.

BRAINMASS PROBLEM 10 Please describe the following terms: 1) Larmor Frequency 2) Nuclear Overhauser Effect 3) 180° Pulse 4) Spin Lattice relaxation 5) Free Induction Decay

Problem with graphing and then using to solve multiple part question.

For the H2 molecule, the well depth is 7.607 x10^-19J. The vibrational frequency is 1.317x10^14 s^-1. parta) Provide a rough sketch of the morse potential for this diatomic. Please lable everything- axes and important features of the graph. You will first need to find an expression linking beta to D in order to find the num ...continues

How to set up vibrational energy level problems

For the H2 molecule, the force constant k is 510Nm^-1. Compute its two lowest vibrational energy levels to 2 sig. Elowest and Efirst exicited state.

Do I need to find what r is to answer the problem?

What is the average distance of an electron from the nucleus at a H atom? The normalized wave function is SI=1/sqrt pi *(1/a0)^3/2 * exp(-r/a0) where a0=0.52918 angstroms.

How to find 1/r? This question is for OTA 103139

What is the average potential energy, in Joules of an electron in a 1s orbital of the H atom? The normalized wave function is Si=1/sqrtpi*(1/a0)^3/2*exp(-r/a0) Where a0=0.52918 This question is for OTA 103139.

How to set-up the problem

I just need to know how to setup this problem. Given the fundamental frequency of vibration for H127I is 2230cm^-1 and the bond length is 160.9pm, compute the following wavenumbers of the lines in the R & P branches: Rbranch beginning in J=0 through J=2 and Pbranch J=0 through J=2. This problem is for OTA 103139

Cannot setup or solve.

You are given the following information for the exicited state of a diatomic molecule. ve'=1126.2cm^-1 xe'(ve')=8.0cm^-1. The 0-3 vibronic transition occurs at 13648.43cm^-1. A) What is the zero point energy of the exicited state? B) What is the value of v00? C) predict the positons of these other vibronic transitions: 0-1 a ...continues

Cannot sketch the answer to the problem.

This problem relates to another question posted #8076. Make a rough yet plausible sketch of the ground and first exicited electronic state of the diatomic molecule in that problem #8076. Sketch in only the vibrational levels that are mentioned in the problem. Label each axes and the vibrational levels. Use appropriate notatio ...continues

Reaction Kinetics

In aqueous solution, the reaction of A to form B has the following rate expression: -d[A]/dt = k[A]{1 + k'[H+]} From the pH dependence of the reaction, k' was found to be 1.0 x 10e5 M-1. In a pH 4.0 buffer, it took 5 min for a 0.30 M solution of A to react to give 0.15 M solution B. Calculate the value of k and g ...continues