December 21, 2024, 12:03:58 PM
Forum Rules: Read This Before Posting


Topic: differentiating orbital for extrema  (Read 3612 times)

0 Members and 1 Guest are viewing this topic.

Offline orgo814

  • Full Member
  • ****
  • Posts: 412
  • Mole Snacks: +11/-6
differentiating orbital for extrema
« on: February 15, 2014, 07:06:52 PM »
I seem to really be struggling with this. The question is "By differentiation of the 2s radial wavefunction, show that it has two extrema in its amplitude and locate them".

The wavefunction given is R(2,0)= (2- p/2)e^-p/4 with p = 2r/a(0)

The book differentiated it as dR/dr = 2/a(0) dR/dP (since p = 2r/a(0)) = 2/a(0) (-1/2 - 1/2 +1/8p)e^-p/4 = 0. This step is where I'm confused. I am confused on how they differentiated it to that. I am aware that the derivative of -p/2 is -1/2 and that the derivative of e^-p/4 = (-1/4)e^-p/4 but confused on how they got that finalized version. Please help.

Offline Corribus

  • Chemist
  • Sr. Member
  • *
  • Posts: 3551
  • Mole Snacks: +546/-23
  • Gender: Male
  • A lover of spectroscopy and chocolate.
Re: differentiating orbital for extrema
« Reply #1 on: February 15, 2014, 09:02:46 PM »
Honestly it's really hard to follow this with the way you've got it formatted. Put it in LaTex and then I will be glad to help you.
What men are poets who can speak of Jupiter if he were like a man, but if he is an immense spinning sphere of methane and ammonia must be silent?  - Richard P. Feynman

Offline orgo814

  • Full Member
  • ****
  • Posts: 412
  • Mole Snacks: +11/-6
Re: differentiating orbital for extrema
« Reply #2 on: February 15, 2014, 09:17:22 PM »
I figured it out anyway

Sponsored Links