This

**preview**shows half of the first page. to view the full**1 pages of the document.**Lecture 16

deBroglie Matter Waves (1921)

● combined Einstein’s expression for the energy of a photon with general expression for

energy from Einstein’s theory of relativity

● assumed that electrons had same “wave-particle” relation between wavelength and

momentum

● applying this equation to the Bohr orbits, he found:

○ n * lambda electron = 2 π rn

○ E = h*(c/lambda) = p*c

○ p = h/lambda

○ lambda = h/p

○ lambda electron = 2πrn/n

● Modern Quantum Mechanics

○ Schrodinger Wave Equation

○ H = hv

○ p = h/lambda

● Hydrogen Atom

○ Quantized Energy Levels

■ En = -1/n^2 RH*hc = -1/n^2 & 13.6eV

○ 1/lambdaphoton = Rh(1/n^2 - 1/n^2)

● Orbitals

○ Energies of hydrogenic atomic orbitals only depends on the principle quantum

number, n

○ Each row represents a shell

○ Nodal Planes (or Angles)

○ p orbitals 1 nodal plane

○ d orbitals 2 nodal planes

● p type orbitals

○ l = 1

○ d type orbitals l = 2

● Electron Spin

○ electron behaves as if it were spinning about an axis through its center. Electron

spin generates a magnetic field. The directions of spin correspond to the two

possible values. ms = +- 1/2

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