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 =...
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...