CHE 2A Study Guide - Standing Wave

• School: UC-Davis
• Department: Chemistry
• Course: CHE 2A
• Professor: A N D R E A S T O U P A D A K I S

Document Summary

Linear waves vs. circular waves a)standing wave with an integral number of wavelengths. an allowed orbit. b)an eliminating wave. a disallowed orbit. Electrons can be viewed as a circular standing wave. De broglie an electron bound to the nucleus behaves like a standing wave. to be a standing wave length of wave must fit exactly the circumference of the orbit n(wavelength)=2(pie)r but wavelength=h/mu therefore r=n (x) h/2(pie)meve. Heisenberg"s principle assumption of the wave character of the e creates an uncertainty of its position. Hup- there is a limit on how much we can know about the properties of subatomic particles. Is a consequence of the wave nature of matter. Insignificant for macroscopic objects (cid:0)x=uncertainty in position (cid:0)p= uncertainty in momentum ((cid:0)x)((cid:0)p)>= h/4(pie) x and p are inversely proportional. Electrons have both wavelength and particle like properties wavelike properties must be taken into account when describing the structure of atoms the position and velocity remain unknown lower limit of uncertainty=h/(4)(pie)