Question

what is the maximum number of electrons that an atom can have with the following quantum numbers?
n=2, l=1, m=1, s=-1/2

Answer 1

Hello @Rebss !

What do u think it should be ?

Answer 2

Ok let's see !

Do u know Pauli's exclusion principle ?

Answer 3

im afraid i dont have any idea. :(

Answer 4

Don worry !
:)

Answer 5

\(\large \sf \text{Pauli's exclusion law}\) states that "No two electrons in an atom can have identical quantum numbers."

Answer 6

is there some kind of formula?

Answer 7

no it's a conceptual Question !

Answer 8

according to pauli's law as i stated above no two electrons can have all the 4 quantum numbers similar.

Answer 9

So what do u think now, what should be the answer ?

Answer 10

ok let's make it simple !

Answer 11

hmmm

Answer 12

Suppose my cell no is 4457868 !
How many people can have same cell no ?

Answer 13

i still dont get it

Answer 14

answer the above question

Answer 15

no one. ryt? ;o

Answer 16

BINGO !

Answer 17

Similarly for an electron the 4 quantum numbers (n=2, l=1, m=1, s=-1/2) are like there cell numbers.

Answer 18

Now how many electrons do u think can have same set of quantum numbers ?

Answer 19

Getting it ?

Answer 20

still loading. wait a minute. ;)

Answer 21

ok

Answer 22

does the maximum numbers of electrons also refer to the shell electrons? gosh. sooo hard!

Answer 23

U understand the meaning of 4 quantum numbers ?

Answer 24

I mean what is n, l, m and s ?

Answer 25

n is the energy level.

Answer 26

l is the shape of orbitals?

Answer 27

m is the magnetic quantum number which i could nt understand and s is the spin

Answer 28

Lets see what these represent. Take (n=2, l=1, m=1, s=-1/2) as an example

Answer 29

Basically quantum numbers are like address of an electron. The first one (n=2) tells us about the shell of the electron. Here it is second shell.

Answer 30

which is 2p? because 1 is p, right?

Answer 31

The second one tells us that to which subshell within the \(2^{nd}\) shell it belongs to. In the same way we define our address like i belong to some xxx state within the yyy country

Answer 32

@Rebss Correct !!

Answer 33

okkaay. i get that one. i still cant understand the m and s

Answer 34

Now m tells us about the city i.e the exact orbital to which the electron belongs.

Answer 35

Do u know how to calculate possible values of m for l=1 ?

Answer 36

yes. -1, 0, 1. is that it?

Answer 37

@Rebss \(\huge\color{green}\checkmark\)

Answer 38

thankyou :) i felt good. :D

Answer 39

Now, s tells us about the house number i.e exact spin of the electron.

Answer 40

Do u know the possible values of s ?

Answer 41

it is either negative or postive one half?

Answer 42

\(\huge\color{green}\checkmark\)

Answer 43

Now let's conclude what we learned yet through a diagram.