Hi,
A very hot gas is enclosed in an oven with a small window. The gas molecules emits radiation at a characteristic wavelength. I assume that because of the thermal motion of the molecules the emitted wavelengths will form a spectrum of some kind (Doppler broadening.) I am trying to derive...
Yea, thanks. So if there is N atoms we would have Z_{tot} = Z^N?
I think what was confusing me was the fact that I used to think of the heat capacity intuitively as "the amount of energy needed to raise the temperature by 1 degree", and so, the heat capacity approaching 0 seems to imply that...
Hi.
I'm having trouble with this statistical physics thing again. I am given this exercise:
Problem 9 – A spin model
In a solid at temperature T the atoms have spin 1 so that the m quantum number takes on the values m = 0, ±1. Due to an interaction with the electrostatic field in the...
Hi. I've just started a course on statistical physics and the first assignment is this:
A system possesses 3 energy levels, E_1 = \epsilon, E_2 = 2\epsilon and E_3 = 3\epsilon. The degeneracy of the levels are g(E1) = g(E3) = 1, g(E2) = 2. Find the heat capacity of the system.
I've...
Hi,
I was just reading up on some astrophysics and I saw the line element (general relativity stuff) written in spherical coordinates as:
ds^2 = dr^2 + r^2(d\theta^2 + \sin\theta\d\phi)
I don't get this. dr is the distance from origo to the given point, so why isn't ds^2 = dr^2 without...
Ok, but two electrons in two different atoms can have the same set of quantum numbers without violating the exclusion principle. Why is this not a violation and when does it become a violation? (i.e. how close must the atoms be.) I hope you understand my question.
I see. Thanks for taking the time! This is off-topic, but how can we even talk about free space, when electrons are clouds that, theoretically, penetrate all space with some small amplitude.
And also, a totally unrelated question: What is the scope of the Pauli exclusion principle. It states...
Thanks, man. But how do I know that the cations and anions exactly touch (no free space between them), which is the assumption in your calculation (right?). Aren't they, like, hovering with some free space between them? (this is probably a stupid question :-)
Hi,
I have yet another problem with this diffraction thing. I have little clue on these questions:
e) The radius of the O^2- ion is assumed to be 0.126 nm. By x-ray diffraction experiments the dimensions of the unit cells for MgO, CaO, SrO and BaO has been determined to be 0.4213 nm...
Hi,
In the solid form FeO, CoO and NiO all has the NaCl-structure (simple cubic). In a series of diffraction experiments with x-rays (\lambda = 0.15406~\text{nm}) one found reflexes from the (111), (200) and (220)-planes with the following \theta-values (\theta is the angle in Bragg's law...
Hi.
Can anybody help me with this exercise in Introductory Nuclear Physics:
One of the magic numbers for nuclei is 28. How many stable isotopes exist with N = 28. (N being the number of neutrons)
I have no idea on how to solve this.
Thanks.
I have to find the allowed energies of this potential:
\[V(x)=
\begin{cases}
\frac1{2}m\omega^2x^2 & \text{for } x > 0\\
\infty & \text{for } x < 0
\end{cases}
\]
My suggestion is that all the odd-numbered energies (n = 1, 3, 5...) in the ordinary harmonic osc. potential are...