Consider the following combinations of quantum numbers describing an electron in a hydrogen atom. Which combinations are allowed? N L mi m Allowed or forbidden? If forbidden, give reason(s):
1 0 0 1
1 3 3 1/2
3 2 3 -1/2
0 1 0 1/2
2 1 -1 0
2 -1 -1 1/2

1 0 0 1- forbidden

1 3 3 1/2- forbidden

3 2 3 -1/2- forbidden

0 1 0 1/2- forbidden

2 1 -1 0- forbidden

2 -1 -1 1/2- forbidden

Explanation:

1 0 0 1 is a forbidden combination because the spin quantum number can only take values of ±1/2.

1 3 3 1/2 is forbidden because it refers to an electron in a 1f orbital which does not exist.

3 2 3 -1/2 refers to an electron in a 3d orbital. However, the allowed values of the magnetic quantum number are only -2,-1,0,1,2. Hence 3d orbital cannot have a magnetic quantum number of 3.

No electron can be found in an n=0 energy level hence 0 1 0 1/2 does not exist.

Given 2 1 -1 0, the combination is forbidden because the allowed values of the spin quantum number are only ±1/2.

For 2 -1 -1 1/2, this combination is forbidden because the values of the orbital quantum number must be positive integers and not negative integers.

conduction is the transfer of thermal energy (heat in transfer) due to collisions between the molecules in the object. collisions between adjacent atoms and molecules transfer kinetic energy from the warmer to the cooler object. the objects must be in physical contact.