Also, you are planning for JEE-19? Which coaching, if any?
@Abcd Understand this simply, Li+ has only 2 electrons. So, one shell. EA=Energy released on adding electron. As its size is small, you can easily add electron
@ACuriousMind Say I have some vector space $V$ and an action of $\rm SO(3)$ on $V$
and I know that this gives rise to a reducible representation
how do I separate it out into its component irreps?
I was doing this before with $\rm SO(2)$ and it was easy but it was a hack, I was just taking some random vector $v\in V$, finding $f(R(\theta))v$ explicitly and taking its Fourier series w.r.t. $\theta$
Random question: Why having a system with charge separation will in general have lower entropy than that of a neutral system?
is it because the coloumb interaction reduces significantly the number of possible microstates the system can take
For example, let the system be a dipole formed by plastic spheres separated at distance d , and one where both plastic spheres are uncharged. How to calculate the entropy of these two different systems?
@Secret It's just combinatorics, here's a toy model: Think about a box with two halves and $n$ positive and $n$ negative particles in it. We say it's neutral when there are equally many positive and negative particles in both halves.. If it's charged, there's $n/2 + m$ positive particles in one half and $n/2 - m$ in the other.
A state is an assignment of each particle to one of the halves. Now you can just compute that there are more states where $n/2$ particles of each kind are in each half than when there's a charge imbalance.
@EmilioPisanty So, you have a map $\theta \mapsto R_z(\theta)$, and you computed $\partial_\theta R_z(\theta)\rvert_{\theta = 0}$ and that's what came out?
@EmilioPisanty When the eigenvalues are integers, one trick is to consider diagonalizing $A+b B$ where $b$ is some irrational number. With $b$ suitably chosen you can remove possible repetitons of eigenvalues of $A$ or $B$ so each eigenspace is 1-dimensional and you get a simultaneous eigenvectors of $A$ anf $B$ directly.
