Quantum numbers





Quantum numbers


1. n (Principal(Shell) quantum number)

The energy level contained within an atom

There are 1-7 energy levels

The shell moves away from the nucleus as 'n' increases, and the electron gains energy.

The maximum electrons that can be accommodated in an electronic shell: 2n²

--> K shell = period 1 atoms ex) H, He (n=1)    1n² = 2
      L shell ex) Li, Be (n=2)   2n² = 8
      M shell ex) Na. Mg (n=3)    3n² = 18


2. ℓ (Momentum(Subshell) quantum number)

Describes the orbital shape

One orbital can only have up to two electrons

'ℓ' has the value of (n - 1) 

  -ℓ = 0 (s orbital = spherical)
  -ℓ = 1 (p orbital = dumbbell shape)
  -ℓ = 2 (d orbital = cloverleaf shape)
  -ℓ = 3 (f orbital)

3. ml (Magnetic quantum number)

Describes the orbital's direction or orientation in space

  s : 1 orbital -> 0
  p : possible to 3 orbital -> Px, Py, Pz ; -1. 0. 1
  d : possible to 5 orbital -> dz2, dxz, dyz, dxy, dx^2-y^2 ; -2, -1, 0, 1, 2
  f : possible to  7 orbital -> -3, -2, -1, 0, 1, 2, 3  


4, ms (Spin quantum number)

Describes the electron's spin.

An electron in the same orbital has a spin in the opposite direction.

The spin has clockwise(+1/2) or counterclockwise(-1/2)







Post a Comment

Previous Post Next Post