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Atom and its composition

Quantum numbers

Each orbital is determinated by energy, space shape and volume shape. These important characteristics of orbitals are described by quantum number values:
principal quantum number n
azimuthal quantum number - l
magnetic quantum number - m
spin quantum number - s


Principal quantum number

Each electron in electron shell has its energy. The value of principal quantum number is determined by electron energy and also orbital size. The values of principal quantum number can be n = 1, 2, ...
Electron with the same value of n create electron layer. Different layers are marked by letters K, L, M, N, O, P, Q for n = 1, 2, ..., 7.

 


Azimuthal quantum number

Azimuthal quantum number - l determines orbital space shape and orbital energy state.
The values can be l = 0, 1, 2, ..., n-1 (for each n value exists i values of l, that means 0, 1, 2, ..., n-i).

Values of l are marked by letter:

 l value

 0

 1

 2

 3

 orbital type 

 s 

 p 

 d 

 f 

   The letter s, p, d, f are written behind principal quantum number and we can say 1s, 2s, 2p, 3d etc. The orbital energy with the same principal quantum number n increases in the following order s<p<d<f.

 


Magnetic quantum number

Magnetic quantum number - m udetermines space orientation of the orbitals and the values of magnetic quantum number can be (m = -l, ..., -1, 0, 1, ... l)- e.g. for n = 2 and l = 1 the value of m is -1, 0, 1.

 


Spin quantum number  

In each state characterized by 3 quantum numbers (n, l, m) can be most 2 electrons, that differ in 4th quantum number. This number is called spin quantum number - s and its values can be +1/2 alebo -1/2.  
   In each orbital there can be 2 electrons differing in spin quantum number that form electron pair. 

Posledná aktualizácia: 26.11.2000