Timeline for Using the fine structure constant to measure atomic and molecular sizes

11 events

when toggle format	what		by	license	comment
May 11, 2014 at 14:35	vote	accept	Jesse
S May 11, 2014 at 12:13	history	suggested	CommunityBot		add more tags
May 11, 2014 at 12:11	review	Suggested edits
S May 11, 2014 at 12:13
May 11, 2014 at 3:22	comment	added	Jesse		yeah i fixed it.
May 11, 2014 at 3:22	comment	added	LDC3		Oh, I found it, it should be: $$\frac{r}{\lambda} = \alpha \pi Z$$ since $\alpha = \frac{ke^2}{\hbar c}$
May 11, 2014 at 3:22	history	edited	Jesse	CC BY-SA 3.0	deleted 2 characters in body
May 11, 2014 at 3:21	comment	added	Jesse		The $m_e$ goes away, $n^2$ goes, $Z^2$ becomes Z. That leaves $\frac{\hbar}{ke^2}\alpha^2\pi Z c$ which, since $\alpha=\frac{ke^2}{\hbar c}$ means it's $\alpha \pi Z$. I think that should work, but I may have messed it. :-)
May 11, 2014 at 3:08	comment	added	LDC3		You have: $$\frac{r}{\lambda} = \frac{n^2 \hbar^2} {Zm_e k e^2}\alpha^2 \frac{\pi Z^2 m_ec}{ n^2 \hbar}$$ $$=\alpha \pi Z c$$ I must have missed a step since I don't see how you cancelled out so many terms. Where did $\frac {\hbar}{ke^2}$ go to?
May 11, 2014 at 2:50	answer	added	DavePhD		timeline score: 3
May 11, 2014 at 1:33	history	edited	Jesse	CC BY-SA 3.0	added 8 characters in body
May 11, 2014 at 1:19	history	asked	Jesse	CC BY-SA 3.0