We have been doing a lot of d-splitting diagrams in my inorganic chemistry class.
I was wondering... I am always confused how to tell whether an orbital is a sigma orbital or a pi orbital. For instance for trigonal bipyramidal, how do you know that the two lowest are pi, the next two are pi...
I have a question about something that has been bothering me for a while...
In all of my chemistry classes, my professors have always told me that it is impossible to predict which way a chiral molecule will rotate plane-polarized light (i.e., you will see if a molecule is D or L, but, saying...
mmm, I didn't :) Thanks so much :)
I know it was smth silly I wasn't paying attention to ^_^
It's not dependent on theta or phi, so I should just multiply it by 4 pi after doing the integral in r, right?
Homework Statement
I have a question on my quantum pset relating to calculating <p^2/2m> and <-e^2/r> for the first two spherically symmetric states of the hydrogen atom (in 3D).
The Attempt at a Solution
I started out trying to calculate the averages with \psi ... something like, for...
So I was reading from my quantum book (Gasiorowicz) and I ame across this sentence:
[p^2, x] = p [p, x] + [p, x] p = \frac{2\hbar}{i} p
I don't understand this. I know that p = -i \hbar \frac{\partial}{\partial x} , but I can't see how to get that expression...I just come up with...
Sorry... my message got posted by mistake before I started typing. Here is what I was going to say:
I'm having a problem just understanding something from my quantum book. They're deriving something to do with a wave packet with the Schrodinger equation, and they have the equation of a wave...
I have a question about bound states as they relate to a question on my homework...
From what I can see, bound states in quantum mechanics are associated with energies that are discrete, not continuous. I don't really understand why...
In my homework problem we are given a set of potential...
I am confused about a proof of the Schwarz inequality in my book...
Homework Statement
\left(\sum_{j=1}^n |a_j \overline{b}_j |\right)^2\leq \left(\sum_{j=1}^n |a_j|^2\right) \left(\sum_{j=1}^n |b_j|^2\right).
The Attempt at a Solution
In the proof in my book (Rudin) it sets A =...
I was recently looking at the solutions to a problem set I have in analysis and there was something I didn't understand. This is the problem in the problem set:
Homework Statement
Let A ⊂ R be nonempty. Define −A = {−x / x ∈ A}. Show that sup(−A) = − inf A and inf(−A) = − sup A.
So I...
Homework Statement
Using the values of \hbar, the electron mass and the electron charge, find the characteristic value of the electric field in an atom, in statvolts / cm (cgs).
Homework Equations
r_n = \frac{n^2 h^2}{4 {\pi}^2 m e^2}
The Attempt at a Solution
So I wasn't really...
StatusX - Thanks so much for the help. If the factor divides m^n, how do I show that it also divides m?
EnumaElish - I am assuming m and p are positive integers with no common factors. So yeah, I have assumed q is rational. I am trying to prove that it cannot be rational (unless k is an nth power).
Homework Statement
Let n and k be positive integers. Show that k^{1/n} is either a positive integer or an irrational number.
The Attempt at a Solution
I set q = k^{1/n}. Then I set q = \frac{m}{p} . (Where m and p don't have common factors.) Then m^n = k * p^n . So then k is a factor...