Which of the following is a possible set of quantum numbers for an electron n, l, m subscript l, m subscript ?
(1, 0, 0, +1)
(2, 2, 1, +½)
(4, -3, 0, -½)
(3, 2, 1, -½)
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OpenStudy (superhelp101):
@Abhisar is this like the first problem we did?
OpenStudy (abhisar):
What is n, l, m subscript l, m subscript ?
OpenStudy (abhisar):
is it n, l, \(\huge\text{m}\)\(\huge_l\), \(\huge\text{m}_s\) ?
OpenStudy (abhisar):
if yes then yes it's like the first question
OpenStudy (abhisar):
Let's see if (2, 2, 1, +½) is possible or not
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OpenStudy (abhisar):
For n=2, l is 0 to (n-1)
l = 0,1 (l can never be equal to n)
OpenStudy (abhisar):
So the option is incorrect !
OpenStudy (abhisar):
Check the first option
OpenStudy (superhelp101):
ok
OpenStudy (superhelp101):
yes it works
0 to (1-1)
0=0
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OpenStudy (abhisar):
Hint: \(\huge\text{m}_s\) has only two values +1/2 and -1/2
OpenStudy (abhisar):
yes it works for l but does it works for \(\huge\text{m}_s\) too ?
check it !
OpenStudy (abhisar):
u will have to check each quantum number in a given option
OpenStudy (abhisar):
Lets see one more example
(4, -3, 0, -½)
OpenStudy (abhisar):
do with me
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OpenStudy (superhelp101):
ok
OpenStudy (abhisar):
Lets first check l
OpenStudy (abhisar):
n=4, so l = ?
OpenStudy (superhelp101):
0 to (4-1)
0 to 3
i.e 1,2,3
OpenStudy (abhisar):
yes i.e 0,1,2,3 ryt ?
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OpenStudy (superhelp101):
oh yes
OpenStudy (abhisar):
now check if the option says the same ?
OpenStudy (superhelp101):
no
OpenStudy (abhisar):
very good !
OpenStudy (abhisar):
it says -3, so the option is wrong
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OpenStudy (abhisar):
ok ?
OpenStudy (superhelp101):
ok
OpenStudy (abhisar):
Now Lets check
(1, 0, 0, +1)
OpenStudy (abhisar):
n=1, so l= ?
OpenStudy (superhelp101):
they all work
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OpenStudy (abhisar):
wait, first tell me l=?
OpenStudy (superhelp101):
0 to (n-1)
0 to (1-1)
0=0
0 to (1-1)
0=0
and what is the difference between 1 and +1
OpenStudy (abhisar):
no difference between +1 and 1, both are same but -1 & 1 or -1 & +1 are different
OpenStudy (abhisar):
ohkay so l will have only one value this time and that is 0
OpenStudy (superhelp101):
yes
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OpenStudy (abhisar):
even the option says 0, so it is correct upto l. Now lets move to \(\huge\text{m}_l\) in the same option
OpenStudy (superhelp101):
wait so are you saying that the first option is incorrect?
OpenStudy (abhisar):
no i am just saying that it is correct upto l. To say that it is completely correct we will have to check the rest two quantum numbers too
OpenStudy (abhisar):
getting it ?
OpenStudy (superhelp101):
oh yea ok
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OpenStudy (superhelp101):
so are we doing the second option now?
OpenStudy (abhisar):
no u have to check the rest quantum numbers in the first option. Check if \(\huge m_s\) is correct or not
OpenStudy (superhelp101):
oh ok
OpenStudy (abhisar):
\(\huge m_s\) = -l to +l
OpenStudy (abhisar):
we got l=0 ryt ?
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OpenStudy (superhelp101):
yes
OpenStudy (superhelp101):
so that can't be right
OpenStudy (abhisar):
so \(\huge m_s\) will be -0,0 &+0 or simply say only 0
OpenStudy (abhisar):
getting it ?
OpenStudy (superhelp101):
ooo yes
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OpenStudy (abhisar):
Option A also says that \(\huge m_s\) = 0, so we know now that 3 out of four quantum numbers are correct, lets check the final one
OpenStudy (superhelp101):
alright
OpenStudy (abhisar):
oh man !
Sorry \(\huge m_s\) will be \(\huge m_l\) in my last 4 replies. i typed it wrong. Please correct it
OpenStudy (superhelp101):
yea I was thinking that
OpenStudy (abhisar):
now lets check the fourth one which is \(\huge m_s\)
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OpenStudy (abhisar):
\(\huge m_s\) has only 2 values (always), either +1/2 or -1/2. check what is given in option A
OpenStudy (superhelp101):
0 to (1/2)-1)
0 to 1-(1/2)
0 to 1/2
OpenStudy (abhisar):
what r u doin ?
Just check the 4th quantum number in option A
OpenStudy (abhisar):
Simply see if it is one among +1/2 or -1/2 or not
OpenStudy (superhelp101):
Huh? like this.
0 to (1-1)
0=0
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OpenStudy (abhisar):
u r not getting the pont....each quantum number has its own way of calculation. Formula for calculating every quantum number is different. There are four different ways to calculate the four different quantum numbers
OpenStudy (superhelp101):
ooo
OpenStudy (abhisar):
(1, 0, 0, +1), this means 4 different quantum numbers
OpenStudy (abhisar):
|dw:1403815416057:dw|
OpenStudy (superhelp101):
It is among 1/2 but not -1/2
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OpenStudy (abhisar):
u have quantum numbers given in ur textbook ?
OpenStudy (superhelp101):
huh?
OpenStudy (abhisar):
read it !
I will see u tmrw !
it's 2:20 AM here
OpenStudy (superhelp101):
oh ok thanks thanks! what country are u in?
OpenStudy (superhelp101):
@Abhisar
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