Chemistry, asked by Roshna2468, 11 months ago

How can we determine a particular element using the quantum no.s
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Answers

Answered by pradeepjohnsasp3xfzp
0

m

l

is the magnetic quantum number, corresponding to the projection of the angular momentum of an orbital, i.e. its orientation in space.

As the symbol suggests, it has to do with  

l

, the angular momentum quantum number.  

l

describes the shape of the orbital. Let's look at various values of  

l

and their corresponding  

m

l

.

l

=

0

m

l

=

0

, orbital =  

s

l

=

1

m

l

=

1

,

0

,

+

1

, orbital =  

p

l

=

2

m

l

=

2

,

1

,

0

,

+

1

,

+

2

, orbital =  

d

l

=

3

m

l

=

3

,

2

,

1

,

0

,

+

1

,

+

2

,

+

3

, orbital =  

f

and so on.

The general pattern is that we have:

m

l

=

l

,

l

+

1

,

l

+

2

,

.

.

.

,

0

,

+

1

,

+

2

,

.

.

.

,

+

l

2

,

+

l

1

,

+

l

or

m

l

=

0

,

±

1

,

±

2

,

.

.

.

,

±

l

In short, we have  

2

l

+

1

values of  

m

l

for a particular  

l

for a particular orbital.

If, let's say, we chose boron (

Z

=

5

), it has access to the valence orbitals  

2

s

and  

2

p

, but it also has the  

1

s

technically as a core orbital.

1

s

:

(

n

,

l

,

m

l

)

=

(

1

,

0

,

0

)

Hence, there is only one  

1

s

orbital.

2

s

:

(

n

,

l

,

m

l

)

=

(

2

,

0

,

0

)

So, there is only one  

2

s

orbital.

2

p

:

(

n

,

l

,

m

l

)

=

(

2

,

1

,

[

1

,

0

,

+

1

]

)

Therefore, there are only three  

2

p

orbitals (

2

p

x

,  

2

p

y

, and  

2

p

z

).

For its valence orbitals, since it has one  

2

s

and three  

2

p

orbitals, it can have up to  

2

×

1

+

3

×

2

=

8

valence electrons. Thus, it is not expected to exceed  

8

valence electrons in its molecular structures.m

l

is the magnetic quantum number, corresponding to the projection of the angular momentum of an orbital, i.e. its orientation in space.

As the symbol suggests, it has to do with  

l

, the angular momentum quantum number.  

l

describes the shape of the orbital. Let's look at various values of  

l

and their corresponding  

m

l

.

l

=

0

m

l

=

0

, orbital =  

s

l

=

1

m

l

=

1

,

0

,

+

1

, orbital =  

p

l

=

2

m

l

=

2

,

1

,

0

,

+

1

,

+

2

, orbital =  

d

l

=

3

m

l

=

3

,

2

,

1

,

0

,

+

1

,

+

2

,

+

3

, orbital =  

f

and so on.

The general pattern is that we have:

m

l

=

l

,

l

+

1

,

l

+

2

,

.

.

.

,

0

,

+

1

,

+

2

,

.

.

.

,

+

l

2

,

+

l

1

,

+

l

or

m

l

=

0

,

±

1

,

±

2

,

.

.

.

,

±

l

In short, we have  

2

l

+

1

values of  

m

l

for a particular  

l

for a particular orbital.

If, let's say, we chose boron (

Z

=

5

), it has access to the valence orbitals  

2

s

and  

2

p

, but it also has the  

1

s

technically as a core orbital.

1

s

:

(

n

,

l

,

m

l

)

=

(

1

,

0

,

0

)

Hence, there is only one  

1

s

orbital.

2

s

:

(

n

,

l

,

m

l

)

=

(

2

,

0

,

0

)

So, there is only one  

2

s

orbital.

2

p

:

(

n

,

l

,

m

l

)

=

(

2

,

1

,

[

1

,

0

,

+

1

]

)

Therefore, there are only three  

2

p

orbitals (

2

p

x

,  

2

p

y

, and  

2

p

z

).

For its valence orbitals, since it has one  

2

s

and three  

2

p

orbitals, it can have up to  

2

×

1

+

3

×

2

=

8

valence electrons. Thus, it is not expected to exceed  

8

valence electrons in its molecular structures.


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