Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Notes on minimum size of hydrogen. Often in science we have simple models that give us qualitatively correct (and often near-quantitatively correct) information which we will, without the simple models, need complicated methods. One such case is the size of hydrogen (or hydrogenic systems, such as He+, Li++, etc.). Formally, to get the size of H we need to solve the Schrödinger equation, get the lowest energy orbital (the 1s orbital, which we will see later) and see what its size is. Instead, we can use a very qualitative idea. Let’s approximate the lowest orbital of hydrogen as it is a single blub, of shape, e.g., Let’s call the center of the wavefunction: xcenter, where xcenter is the position of the proton; and the extent of the wavefunction L. We also define the uncertainty in the position of the wavefunction as DeltaX. The wavefunction will extend essentially from Xcenter-DeltaX to Xcenter+ DeltaX , i.e., the extent of the wavefunction is L=2*DeltaX. Next we need the wavelength, Lambda, of the wave; the wave has about ½ an oscillation (a full oscillation requires
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/15/2009 for the course CHEM 20A taught by Professor Neuhauser during the Fall '08 term at Mt. SAC.

Page1 / 3


This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online