MATS 3011 Lecture 12: Lecture 1242014.pdf
Document Summary
Key idea: electrons revolve around nucleus in discrete orbits. Total energy of the system e = k. e. + p. e (kinetic + potential energy) p = mv (momentum) Key idea: angular momentum is quantized (because energy = quantized) Both h and hbar are plank"s constant h=6. 626*10-34 j*s where n = integer (1,2,3,) Force = 0 (b/c = derivative of energy) electrostatic attraction. [convention is that positive force is in positive r direction. After emin, derivative is positive even though function is negative --> attractive. That"s where derivative of energy = 0 and solve for r0 with n = 1 if n = 1. ---> bohr radius (radius approx of h atom) where nu is the frequency of light. Louis de brogllie ----> photons can behave like particles or waves so maybe electrons do this too. What is the wavelength of an electron? length of an orbital integral. E = energy of electron potential ex: coulombic potential.
