Quantum Mechanics and Quantum Numbers

 

I.     Quantum Mechanics

       A.   de Broglie Relation

1.    Explanation –

              2.    Relation

                     σ = h / mv

                     σ –

h – Planck’s constant –

                     m –

                     v –

              3.    Wave Functions

a.    Quantum mechanics – wave mechanics –

b.    Uncertainty Principle –

       B.   Quantum Numbers and Atomic Orbitals

              1.    Atomic orbital –

2.    Quantum Numbers

                     a.    Principle Quantum Number – n

 

                     b.    Angular Momentum Quantum Number (l) – aka Azimuthal QN

 

c.               Magnetic QN (m1)

 

d.              Spin QN (ms)

 

3.    Using the Rules for QN

State whether each of the following sets of qn is permissible for an electron in an atom. If a set is not permissible, explain why.

a.               n = 1, l = 1, ml = 0, ms = +1/2

b.              n = 3, l = 1, ml = - 2, ms = - ½

C.            Atomic Orbital Shapes

1.              s – orbital

2.              p – orbital

3.              d - orbital