00:01
Alright, so let's say we have a hydrogen atom like this, where the radius of a particular orbit will just cause r.
00:07
So what we know is if the electron has a speed v here, then the angular momentum, which is mvr, is given by n times planck's reduced constant.
00:17
And we should also have that the circumference of the orbit, 2 pi r, is an integer number of wavelengths, because we, or an integer number of de broglie wavelengths.
00:27
So we can write this as n times h over p, assuming that's our de broglie wavelength.
00:35
And we can write this, these basically are like the same statement.
00:40
So the energy we can write as p squared over 2m plus our potential energy, which is minus ke squared over r.
00:53
Alright, so what we'll do is write p as n equal to n h bar over r.
01:03
And so we'll have n squared h bar squared over 2m r squared minus ke squared over r...