http://www.ck12.org Chapter 24. Atomic Physics
1
λ=R(
1
n^2 l−1
n^2 h)
wherenlis the lower state andnhis the higher state.
- Bohr’s assumptions for hydrogen atom are:
a. The allowed radii of the atom
rn=n^2 r 1 ,n= 1 , 2 ,...
wherer 1 is the smallest orbital radius of the hydrogen atom, commonly referred to as theBohr radius.
b. The allowable energy levels, or stationary states of the atom
E=En 21 ,n= 1 , 2 ,...
c. The difference between allowable energy levels can be expressed as
h f=Eh−El
whereEhis a higher energy state of the electron andElis a lower energy state of the electron.
- The square of the amplitude of the matter wave in Schrodinger’s equation assigns probabilities for the location of
the electron. - The Heisenberg uncertainty principle is
∆x∆p≥ 2 hπ
where∆xis the uncertainty in position of the particle and∆pis the uncertainty in momentum of the particle.