what is principal quantum number?

An atomic orbital is defined by a set of quantum numbers and the first one is principal quantum number.It identifies the shell and thus determines the size and the energy of the orbital.It can have only positive integer values and is symbolised as ‘n’.
n can have values 1,2,3 and so on.  Hydrogen and helium atoms have electrons in the first shell and have principal quantum number 1.  Lithium has principal quantum number 2 and thus has two shells in its atom.

  • 2

Hi,

There are four quantum numbers, viz,

  • Principal quantum number (n): It defines the main shell to which an electron belongs. The values of n =1,2,3,4,......... As n
  • increases the size and energy of the orbital increases. It helps us to determine the value of the rest of the three quantum numbers .
  • Azimuthal quantum number (): It tells us the number of subshells present in the main shell and the orbital to which an
  • electron belongs. Its value is equal to 0 to (n-1).
  • Magnetic quantum number (m): It informs the level of degeneracy of the orbitals. Its value is equal to -,0,+.
  • Spin quatum number (s): It tells us whether the electron in an orbital is spinning in upward direction or downward
  • direction. s has two values +1/2 for upward spin and -1/2 for downward spin.

The following table shows the values of different quatum numbers:

he following table shows the values of different quatum numbers:

n =n-1 m = -,0.+ number of degenerate orbitals
  • 1 (K)
  • 0 (s)
  • 0
  • 0
  • 2 (L)
  • 0 (s)
  • 1 (p)
  • 0
  • -1,0,+1
  • 0
  • 3 (px,py,pz)
  • 3 (M)
  • 0 (s)
  • 1 (p)
  • 2 (d)
  • 0
  • -1,0,+1
  • -2,-1,0,+1,+2
  • 0
  • 3 (px,py,pz)
  • 5 (dxy,dyz,dzx,,
  • 4 (N)
  • 0 (s)
  • 1 (p)
  • 2 (d)
  • 3 (f)
  • 0
  • -1,0,+1
  • -2,-1,0,+1,+2
  • -3,-2,-1,0,+1,+2,+3
  • 0
  • 3 (px,py,pz)
  • 5 (dxy,dyz,dzx,,
  • 7 degenerate orbitals

  • 1

The principal quantum number symbolized asnis the 1stof a set of quantum numbers which include principal, azimuthal, magnetic and spin quantum nos.The principal quantum no. basically determines the energy of an electron. It also determines the average distance of an electron from the nucleus.It can have only positive values.

  • 2
What are you looking for?