Question

a) How many values of the quantum number L (lower case cursive L) are possible when n=7?

b) How many values of mL (again lower case cursive L) are possible for an electron in a 6d subshell?

c) How many orbitals are there in a shell with n=3?

Please show work on how yall get the answers yall get. Thank You!

Answer 1

a.   n                  l

       7                0,1,2,3,4,5,6

   n value are equal to 0 to n-1

b. n         l               ml

   6           2             -2,-1,0,+1,+2

c. no of orbital in the shell = n²   = 3²   = 9

     3s² 3p⁶ 3d¹⁰-------> total 9 orbitals    ( 1-s obital, 3-Porbitals,5-d orbitals)