Diatomic molecule Definition and 29 Threads

Hello! I have a question about selection rules and electronic transitions of a diatomic molecule: I can't find a good explanation about that, and there's so much confusion about the right rules to use. I studied that on Bransden-Joachain's "Physics of atoms and molecules", but there (to whom...

A diatomic molecule ##D_{2}## in ##30K##, in ##t=0##, is in the state ##| \psi (0) \rangle = \frac{1}{\sqrt{26}}(3 | 1,1 \rangle + 4| 7,3 \rangle + | 7,1 \rangle )##, where the kets denote states ##| l,m \rangle##. Use ##\frac{\hbar}{Ic4\pi}=30.4cm^{-1}##. Obtain ##| \psi (t) \rangle ## I...

Hello! Is there any diatomic molecule containing Al (or even a molecular ion), which upon dissociation from a given electronic level, leaves behind Al as a neutral atom? Any reference is appreciated. Thank you!

Hello! Is it possible for the centrifugal distortion constants (D, H and so on) of a diatomic molecules to be negative? It looks like for high enough vibrational distortions they can be negative, but I don't think I've ever seen that in practice so I was wondering if there is something...

Hello! I am analyzing some data from some rotational transitions between 2 electronic energy levels in a diatomic molecule. I noticed that for different runs that covered the same regions, the peaks we observe are shifted with respect to each other when the power of the laser driving the...

I don't know if the value for distance between protons given in the homework is right (##d = 74.14 pm##). Indeed, on the following link : https://brainly.in/question/7147660 , they take a distance equal to ##d = 4\times10^{-10} m##. In all cases, the same formula is applied ...

Homework Statement I have the diatomic molecule hamiltonian given by: $$-\hbar^2/(2\mu)d^2/dr^2+\hbar^2\ell(\ell+1)/(2\mu r^2)+(1/4)K(r-d_0)^2$$ Now it's written in my solutions that if we put: $$K\equiv 2\mu \omega_0^2, \hbar^2\ell(\ell+1)/(2\mu d_0^4)\equiv \gamma_{\ell} K, r-d_0\equiv...

Homework Statement Homework EquationsThe Attempt at a Solution Considering the molecule as collection of two spherical atoms whose centers are joined such that they touch each other, Then, as a rigid body the system has 6 degrees of freedom and around the axis joining the two centers, the...

I have been preforming experiments to study the diffusion of Hydrogen through Molybdenum. According to Sievert's law diatomic molecules would diffuse as atoms. But according to my experiments I notice that the flux of hydrogen is directly proportional to the pressure of hydrogen and not to the...

Hi, How did they break down the following summation? When finding the vibrational partition function ofa diatomic molecule it was approximated that the energy levels of the vibrational part of the diatomic molecule were harmonic and therefore the energy equation for a harmonic oscillator was...

Dear All, May anyone please advise me to the following questions in case of diatomic molecules: 1. How do we choose which Hund's case ((a), (b), or (c)...) that best describes a particular diatomic molecule? 2. How can we deduce from Hund's cases molecular electronic states (2s+1)ΛΩ (e,g...

Has there been a study which concludes that the ionization potential of a diatomic molecule depends on the internuclear distance? For example, let this molecule interact with an EM wave, and hence after the disturbance the molecule vibrates. If subsequently I send an ionizing radiation with...

Hello, I'm working here with a model for a diatomic molecule. The potential is modeled as two finite wells. For a given distance between the wells, the energy of the ground state will be minimized. If you move the "atoms" closer to each other, the energy rises, and if you move them away from...

Homework Statement Two identical carts (of mass m) are free to move on a frictionless, straight horizontal track. The masses are connected by a spring of constant k and un-stretched length l_{0}. Initially the masses are a distance l_{0} apart with the mass on the left having a speed v_{0} to...

Homework Statement I have to find the hamiltonian for a diatomic molecule, where the molecule can only rotate and translate and we supose that potencial energy doesn't change.Homework Equations The Attempt at a Solution Okey so I used Spherical coordinate system such as the kinetic energy of...

Homework Statement The potential energy of two atoms in a diatomic molecule is approximated by U(r)=a/r^12 - b/r^6, where r is the spacing between the atoms and a and b are positive constants. Find the force F(r) on one atom as a function of r. Make two graphs one of U(r)...

Homework Statement Calculate the ratio of frequencies of oscillations of the molecules H2 and HD. Homework Equations f=(1/2pi)(k/m)^0.5 f=frequency k=spring constant m= mass or reduced mass The Attempt at a Solution I got (2/6)^0.5 but the given answer is (4/3)^0.5. I...

Homework Statement Two identical atoms in a diatomic molecule vibrate as harmonic oscillators. However, their center of mass, midway between them, remains at rest. 1)Show that at any instant, the momenta of the atoms relative to the center of mass are p and -p 2)Show that the total...

Homework Statement I have to sketch a phase portrait (in phase space) for a system which is a diatomic molecule. The effective potential is equal to a potential that is attractive at long range and repulsive at short range plus the centrifugal barrier. It basically looks like a Morse...

Homework Statement Using specific heat data for a nitrogen molecule, estimate then vibrational frequency of the diatomic molecule Homework Equations C= 3N_a k = 3R The Attempt at a Solution unable to attempt a solution

Hi, I consider harmonic model of diatomic molecule: two atoms connected with a massless rod. Let one axis be along the rod, other two perpendicular to it. Let rotational velocity have components only trough perpendicular axes. In one book it is said that rotational energy of such diatomic...

The Hamiltonian of the diatomic molecule is given by H = p1^2 / 2m + p2^2 / 2m + 1/2 k R^2, where R equals the distance between atoms. Using this result, given in standard texbooks, I keep geting C = 9/2 kT instead of 7/2 kT for heat capacity. I've traced down my problem to the potential energy...

Does anyone know where I can find information about using quantum mechanics on the diatomic molecule (E.g. Lectures on YouTube or just notes)? Thanks.

Hi there all, I have this problem which I have issues with; there's some stuff I need to do in C and any help would be much appreciated. For V(o) = 36 i need to find the ground state energy and normalised ground state function using matrix methods. I am allowed to use Matlab to find the...

Homework Statement In the rotation spectrum of 12C16O the line arising from the transition l = 4 -> 3 is at 461.04077GHz, while that arising from l = 36 -> 35 is at 4115.6055GHz. Show from these data that in a non-rotating CO molecule the intra-nuclear distance is s ~ 0.113 nm, and that the...

Is this saying that the frequency of vibrations in a diatomic molecule is quantized? http://hyperphysics.phy-astr.gsu.edu/Hbase/quantum/hosc.html#c1

Homework Statement The Hamiltonian for a rigid diatomic molecule is H_0 = {L^2 \over {2I}} where I is the moment of inertia of the molecule. (a) What are the lowest four energy states of this system? (b) An external electric field is applied, leading to a perturbation H_1 = ED\cos\theta...

We have Heteronuclear diatomic molecules with atomic masses m1 and m2 and an internuclear distance R have rotational energy eigenvalues EJ = BJ(J + 1) , J = 0, 1, 2, . . . when they are considered as a rigid rotor. The rotational constant is given by B = h^2/2µR^2 with the reduced mass µ =...

In my thermo text, they consider a diatomic molecule that is rotating about the axis joining the two atoms (also the axis of symetry) and make a quantum argument involving the energy levels of a rigid rotator to conclude that kT<<\Delta E for this particular degree of freedom. But isn't this...