05 - Chemistry 1000 Lecture 5: Hydrogenic orbitals Marc R....

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

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

Unformatted text preview: Chemistry 1000 Lecture 5: Hydrogenic orbitals Marc R. Roussel Heisenberg uncertainty principle Fundamental limitation to simultaneous measurements of position and momentum: x p x 1 2 ~ with ~ = h 2 . I Uncertainty is, roughly, the experimental precision of the measurement. I Position and momentum cant simultaneously both be known to arbitrary accuracy. Why not? I Suppose that we want to locate an object in a microscope. I Photons reflect (or refract) from the sample. I Photons have momentum so they give the object a kick (i.e. change the momentum) during interaction with an object. I Resolution x Kick p x h / x p x h > h 4 Example: Suppose that we use X-rays to determine the position of an electron to within 10- 10 m (diameter of a hydrogen atom). Since x p x 1 2 ~ , we have p x ~ 2 x = 5 10- 25 kg ms- 1 , or v p x m e = 6 10 5 m / s . Important consequence: I Bohr theory has orbits of fixed r , i.e. , i....
View Full Document

Page1 / 23

05 - Chemistry 1000 Lecture 5: Hydrogenic orbitals Marc R....

This preview shows document pages 1 - 6. Sign up to view the full document.

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