Sir Erik Christopher Zeeman FRS (4 February 1925 – 13 February 2016), was a British mathematician, known for his work in geometric topology and singularity theory.
To find ##\delta## for the 1st order, all I need to do is to square the diameter of the 2nd ring and subtract it to the square of the diameter of the first ring.
$$\delta_{1st \; order} = {d^2}_{2nd \; ring} - {d^2}_{1st \; ring}$$
To find ##\Delta##, I can use the below equation...
I have been analyzing a set of data from a lab activity on the Zeeman effect. The data (i.e. images) gathered can be previewed via this Google drive link here.
While I am provided with the numerical data on the current (##I##), I am not provided with any data on the magnetic field. With the...
*Data Location:
Recently, I have been working on a lab project on the Zeeman effect. After conducting the laboratory work necessary to produce the Zeeman effect, the results were saved as a photo and pasted together as a PDF file. To view the images (in PDF format), please refer to the Google...
Suppose we have a hamiltonian $$H_0$$ and we know the eigenvectors/values:
$$H_0 |E_i \rangle = E_i|E_i \rangle $$
We then add to it another perturbing Hamiltonian:
$$H’$$ which commutes with $$H_0.$$ According to nondegenerate first order perturbation theory:
$$\langle H \rangle \approx...
Homework Statement: Hello, I have to explain using numbers the Zeeman effect for hydrogen and the setup needed. I have done some research and if I'm not wrong, then a magnetic field of 1 Tesla is needed. I have no idea how to achieve that using commercially available products and how to even...
Homework Statement
From near to the center of the solar disc, Fe I line emission from point X shows a spectral line with components 666.823, 666.830 and 666.837 nm, around the rest wavelength of 666.800 nm. The central component is not as bright as those at the longer and shorter wavelengths...
Hi,
As far as I understand spin orbit coupling is the interaction between proton of atom and electron. Proton's motion(from the frame of electron) around electron creates magnetic field. Hence electron experiences magnetic field. Does this magnetic field produces a Zeeman effect which cause...
Homework Statement
The Lyman-α line (n = 2 → n = 1) has a wavelength of 121.6nm in the absence of a magnetic field.
When B = 1 Tesla, into how many wavelengths will this split and what are their wavelengths?
(You may need the values
μ B = 9.274 × 10 −24 J/T, h̄ = 1.054 × 10 −34 Js and c =...
Hello, I have a doubt about the Complete Set of commuting observables (CSCO) in the cases when there are a magnetic field ##B## in z.
The statement is find the constant of motion and CSCO for a particle of mass m and spin 1/2, not necessary a electron or any atomic particle.
I know that the...
Let's say you take a beam of particles and pass it through a Stern Gerlach apparatus and you select one of the outgoing beams, therefore collapsing the wavefunction to certain values of orbital angular momentum and spin angular momentum.
If you performed the Zeeman experiment on that beam, I'm...
Hi all,
Say we have a model in a solid state system where we have an effective mass, \begin{equation}m^*,\end{equation}some fraction of the free electron mass. Now we apply an external magnetic field. Then the Zeeman energy splitting should be:
\begin{equation}
E_{Zeeman}=\pm 1/2 g \mu_B B...
Recently I have been asked to solve the problem of an electron in a Zeeman-field that couples the spin of the electron to the magnetic field.
I am not sure how to correctly set up the problem. I think, however, that what I have done on the picture is correct. The usual p^2/2m + V term in the...
I'm unsure about the sign of the circular polarization.
Assume the magnetic field is pointed toward the observer.
In the Zeeman effect spectrum, is the CCW polarized emission at higher or lower wavelength than the CW polarized emission.
I think the CCW polarized emission is higher, and this is...
I know that orbital angular momentum is quantized. If the potential energy is developed because of the external magnetic field applying a torque on the magnetic dipole, then from the dot product of the dipole moment and magnetic field we have a cosine term, shouldn't this give rise to all the...
Background: I have limited knowledge on QM and only know that magnetic fields split the energy levels of an atom
It seems counter-intuitive to me that as the atoms slow down along the tube the magnetic field strength decreases
http://es1.ph.man.ac.uk/AJM2/Atomtrapping/Zeeman-B-field.jpg
as...
Homework Statement
A zeeman experience is made in the transition 3s4s ## ^3S_1## -> 3s3p ##^3P_2## in Magnesium with a magnetic field of 2Teslas (20 000 Gauss). With no magnetic field the emission occurs in 518.360nm.
a) Draw the spectrum of what you hoped you observe when you're watching the...
Hi all,
Just a quick theory based question regarding the Zeeman Effect.
The effect of the applied magnetic field in the Zeeman effect separates the possible angular momentum states (each of which has a magnetic dipole associated with it) into different energy levels. However, if the...
This may be a stupid question, but I am reviewing for the physics gre and can't help but see the zeeman effect and stern-gerlach experiments as contradictions. In the Zeeman effect, a neutral atom energy level will split into 3 levels (or 2 or more if take into account anomalous zeeman), but in...
I have a question about the Zeeman effect and pertubation theory. I read in Griffiths that with the strong Zeeman effect the total angular momentum is not conserved but Lz and Sz are. I don't really understand why this is in a physical sense, because I thought that angularmomentum always was...
Homework Statement
Part (a):Find the first order shift in energy
Part(b): What is the degeneracy after perturbation? Find Show average shift in energy is zero.
Homework Equations
The Attempt at a Solution
I've shown part (a), the troubling part is part (b).
Part (b)
With the perturbation...
Homework Statement
In the calculation of the Zeeman Effect, the most important calculation is
\langle L_z + 2S_z \rangle = \langle J_z + S_z\rangle
Suppose we want to find the Zeeman Effect for ##(2p)^2##, meaning ##l=1##.
In Sakurai's book,
My question is, what is ##m##? They say that...
Homework Statement
Part (a): What's the origin of that expression?
Part(b): Estimate magnetic field, give quantum numbers to specify 2p and general nl-configuration
Part (c): What is the Zeeman effect on states 1s and 2s?
Homework Equations
The Attempt at a Solution
Part (b)
H =...
Why does the "anomalous" Zeeman effect not show up on some atoms?
I read this:
I don't see why the electron spin affected the number of lines to go up in some atoms and not in others. The electron(s) on the H atom also have spin.
Thank you.
Homework Statement
Consider the splitting of the n=2 and n=3 energy levels for a hydrogen atom placed in a 2T
magnetic field. Consider only the normal Zeeman effect (ignore spin). (a) What is the separation
in energy between adjacent ml levels for the same l? (b) How many different...
Homework Statement
I'm having huge issues on the Zeeman Effect lab- the goal being to get the Bohr magneton. The problem is I do not know how to measure the rings. Can I simply measure this with a ruler? How many of the rings do I have to measure in one picture?
Hello,
In the image below, we see the result of the Zeeman and Paschen-Back effect in a magnetic field which we worked out, together with the exact result, described in different basesets (coupled J,mj and uncoupled mlms).
I understand that each effect can be better described in a...
I'm studying the hydrogen atom and have this question. Apparently it can be solved without perturbation theory, however I'm having trouble justifying it.
Homework Statement
2. The attempt at a solution
Avoiding perturbation theory I simply get:
E = E(n) - constant*(mh) where m...
Hello.
I am confused with my teacher argument with the two pictures that shows the Zeeman effect. The addresses to them is
http://www7b.biglobe.ne.jp/~kcy05t/paschen.html (the first pictures)
http://psi.phys.wits.ac.za/teaching/Connell/phys284/2005/lecture-03/lecture_03/node14.html
My...
Homework Statement
The red line of the Balmer series in hydrogen has a
wavelength of 656.5 nm. Suppose that this line is observed to
split into three diﬀerent spectral lines when placed in a magnetic ﬁeld, B, due to the Normal Zeeman Eﬀect. What is the
value of the magnetic ﬁeld if the...
Please refer to picture (1). This the equation of motion for an electron in a magnetic field along the z direction and moving with a certain velocity. Where Ω is the Larmor's frequency.
Then refer to picture (2), that is the matrix representing the previous equation. How was this matrix...
Homework Statement
The magnetic moment for an electron is \mue = -e/m Se.
The magnetic moment for a positron is \mue = +e/m Se.
In the ground state, the quantum numbers are n=1 and l=0.
a) What is the physical mechanism for the Zeeman shift?
b) Write the Hamiltonian and identify H0 and...
Homework Statement
A source which emits a line at 500 nm is found to exhibit the normal Zeeman effect
when placed in a magnetic fi eld. Calculate the magnetic field given that the separation
of adjacent components in the Zeeman pattern is 12.0 pm.
Homework Equations
E=hc/lambda...
Hey
I have this problem
Homework Statement
A source which emits a line at 500nm is found to exhibit the normal Zeeman effect
when placed in a magnetic field. Calculate the magnetic field given that the separation
of adjacent components in the Zeeman pattern is 12.0pm...
I have a couple of questions regarding laser cooling. I should preface this by saying that I've taken a course in Modern Physics, so I don't have more than a very basic understanding of QM. In this case, I am familiar with absorption/emission lines, Zeeman effect, degeneracy and quantum numbers...
Why is there a central line when a magnet is used to split the electrons? I would have thought that since electrons have two characteristic states that one type would go one way and the other type the other way so the middle should be blank.
I have a couple of questions regarding laser cooling. I should preface this by saying that I've taken a course in Modern Physics, so I don't have more than a very basic understanding of QM. In this case, I am familiar with absorption/emission lines, Zeeman effect, degeneracy and quantum...
There are two types of zeeman effect, one normal and the other one anormal, but why are they called so?
I mean what is so normal about the normal zeeman effect and what is so anormal about the anormal zeeman effect??
Homework Statement
"The normal Zeeman effect splits a spectral line at frequency \nu_{0} and two satellite lines at \nu_{0} ± eB/(4\pi m_{e}). By what amount (in angstroms) are the satellite lines of the hydrogen Balmer \alpha line (\lambda_{0} = 6562.81 Å) split from the central component...
Hi,
I am trying to find a resource that can explain how σ and ∏ lines obtain their polarizations.
I have not found resource that actually show the calculation or solid explanation that show this.The references are usually state that σ and ∏ have circular polarization and linear polarization...
Homework Statement
Have to find the applied magnetic field for strong zeeman effect for sodium.
Given three resonance line components
580nm 585nm and 590 nm
Homework Equations
Ezeeman=B*Bohr Magneton*ml
ml= 0,1 or -1The Attempt at a Solution
Change energy = hf = hc/wavelength
Can't get...
the spin orbit coupling removes the degeneracy but not completely, should we still use the degenerate perturbation theory. is it because of relativistic corrections?
Thanks!
As far as I know: the possible orientations that the total angular momentum can take (given my Mj) are degenerate. if we apply a magnetic field, degeneracy will be lost and different states arise. this is the zeeman effect
but when looking up on google for zeeman effect, a webpage used as an...
With the normal Zeeman effect, I think the splitting of the emission/absorbtion lines is worth \Delta E = \mu _B B m_l. That was before they knew about the spin.
When they discovered the spin they realized that in fact the energy splitting was worth \Delta E =g_l \mu _B B m_l where...
Homework Statement
A magnetic resonancy experiment is realized using hydrogen atoms in their ground state. A constant magnetic field B_0 duplicate the magnetic energy levels in the atoms and an oscillating magnetic field B_ \omega is synchronized to the frequency that corresponds to the...
Homework Statement
The \alpha lines of Paschen in the hydrogen spectrum are due to transitions n=4 \to n=3. Identify the allowed 4p \to 3d transitions and determine the change in wavelength for each transition if there's an external B field of 2T.Homework Equations
\Delta E=m_l \mu _B B...
Homework Statement
The anomalous Zeeman effect is studied in an advanced student laboratory. A spectral lamp is filled with the vapor of an unknown atom. (It is unknown to the student.) The atoms are excited to the 2D5/2 state with a high frequency electromagnetic field. When a static magnetic...
Homework Statement
When specially prepared Hydrogen atoms with their electrons in the 6d state are placed into a strong uniform magnetic field, the degenerate energy levels split into several levels. This is the so called normal Zeeman effect.
A) Ignoring the electron spin what is the...