1
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1answer
43 views

Eigenfunctions for $1s$ hydrogen Schrodinger equation

I am a computer scientist and started my Phd in material science. The second course os my Phd is material simulation by computer. One the task is show the verification of the eigenfunction $1s$ from ...
0
votes
1answer
26 views

Use microwave cavity in atomic clock

In most of the papers regarding atomic clocks, the author talks about a microwave cavity. In this box, all the unwanted frequencies of the electromagnetic radiation are absorbed and the other ...
1
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0answers
79 views

Thermal expansion of two bolts

I have this question asking me about the thermal expansions of two bolts, a steel one, and a brass one. I have the equation: $\ (\delta L/L)/T = \alpha $ I don't understand how I can use this ...
0
votes
3answers
108 views

Ground state of hydrogen atom

My interpretation: When we have no angular momentum, the potential well looks like this, my question is: How do you find the point where the wavefunction penetrates its classical forbidden region, ...
0
votes
1answer
21 views

Lowest Frequency De-excitation problem

Before the formation of the molecule it is possible for the muonic hydrogen atom to be formed in an excited state and for radiation to be observed from a single transition to the ground state. ...
0
votes
1answer
41 views

modern physics :emission spectrum [closed]

If in a hydrogen atom all possible transactions take place. The ratio of maximum frequency to minimum frequency is 135/7.what is the principal quantum number of excited state. The max frequency case ...
0
votes
1answer
59 views

What does this sort of notation mean?

I'm revising for my exams at the moment and am seeing this notation everywhere Can anyone tell me what these mean?
1
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1answer
91 views

The degeneracy of the ground state

I wonder how can i know the degeneracy of the ground state of certain elements? I'm doing Boltzmann distribution problems, and I'm not sure what to do. I have to calculate ratio of ions in 3p ...
1
vote
1answer
99 views

Hydrogen ionization energy [closed]

Proton and electron have a distance equal to the Bohr radius apart in the hydrogen atom. Knowing this, what's the ionization energy of the atom? So we know $U = -kq^2/a_B$, but this is potential ...
3
votes
2answers
67 views

Electron Shell Configuration

Is there a way to predict the electron configuration of an element, for example Copper is 1s^2 2s^2 2p^6 3s^2 3p^6 4s^1 3d^10 ?
2
votes
0answers
65 views

Limits of integration for the radial wave function of the Hydrogen atom in the WKB approximation

I am working a problem where we have to find the energy eigenvalues for the radial wave function of the hydrogen atom for $\ell=0$ using the WKB approximation. I am sure that I set up the integral ...
3
votes
2answers
312 views

What is the expected distance of the electron from the nucleus in the hydrogen atom?

Specifically, I would like to know the general formula, in terms of $n$ and $l$, assuming the electron is in an orbital (i.e. simultaneous eigenstate of $H$, $L^2$, and $L_z$). I understand that it ...
0
votes
2answers
86 views

Energy required to remove both electrons [closed]

The question is: Q. An energy of $24.6$eV is required to remove one of the electrons from a neutral Helium atom. The energy(in eV) required to remove both the electrons from a neutral Helium atom is: ...
1
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1answer
87 views

energy difference uniqueness in hydrogen atom

Is the energy difference between two energy levels unique for that particular pair of levels for a hydrogen atom ? If so how can one prove it?
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1answer
132 views

What happens when you give excess energy to an atom?

So this is my question: An electron in a hydrogen atom in its ground state absorbs energy equal to the ionisation energy of $Li^{2+}$. The wavelength of the emitted electron is? I started off by ...
4
votes
0answers
90 views

Is the relative atomic mass directly proportional to the size of an atom? [closed]

I have a piece of homework, i have to make a pair of models depicting pure metals and alloys. I want it to be as accurate as possible, and so i'm asking this: Is the relative atomic mass directly ...
2
votes
1answer
150 views

Volume charge density of H-atom

I have a problem where I am supposed to calculate the volume charge density of a neutral hydrogen atom. The potential is given to be $$ \Phi = k \frac{e^{-ar}}{r} \left(1 + \frac{ar}{2}\right) $$ Now ...
1
vote
1answer
313 views

Hydrogen ground state energy calculation?

We want to find the energy of a hydrogen atom ($Z=1$) in the ground state $$ \psi_{100} = \frac{1}{\sqrt{\pi}}e^{-r}\ \ \ \ \ \ (\mbox{atomic units}) $$ with Hamiltonian $$ H = ...
2
votes
1answer
178 views

Distinction between Larmor frequency and Rabi frequency

Wikipedia said "In the context of a nuclear magnetic resonance experiment, the Rabi frequency is the nutation frequency of a sample's net nuclear magnetization vector about a radiofrequency field. ...
1
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1answer
237 views

Derivation for 7.14 in Atomic Physics by Foot

I was going thru Ch7 of Foot and trying to fill in the gaps. However I got stuck on (7.14). So Foot was working with a two level system with a small perturbation in the Hamiltonian resulted from an ...
1
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0answers
62 views

How to absorb a characteristic line in a spectrum

I have an x-ray tube. When I see the spectrum, I notice the characteristic lines of the anode. What do I have to do if I want to absorb a characteristic line? I have thought that I can add a filter. ...
1
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1answer
997 views

Energy required for ionizing Helium

The energy required to remove both electrons from the helium atom in its ground state is 79.0 eV. How much energy is required to ionize helium (i.e., to remove one electron)? ...
1
vote
1answer
532 views

Finding the wavelength of an electron in its ground state?

To find the wavelength of an electron in its ground state in a hydrogen atom, would I or could I do the following? Use the ground state energy (-13.6eV) in $E^2 = m^2c^4 + p^2c^2$ Solve for $p$ Use ...
1
vote
0answers
36 views

Electron Configuration and Binding [closed]

Boron with an electron configuration of $1s^22s^22p^1$ has an atomic weight of $10.811u$. What is the total binding energy for 11Bs if $Mn = 1.008665u$ and $Mp = 1.007825u$. I cannot find anything ...
3
votes
1answer
429 views

Spin-orbit coupling constant for rubidium

I have come across the following question in my course notes: The $5s\to 5p$ transition in rubidium is split into two components with wavelengths of 780nm and 795nm respectively. For the $5p$ state, ...