### 1D.21

Posted:

**Mon Oct 28, 2019 12:30 am**Write the subshell notation (3d, for instance) and the number of orbitals having the following quantum numbers: (a) n 5 5, l52; (b) n51,l50;(c) n56,l53; (d) n52,l51.

Created by Dr. Laurence Lavelle

https://lavelle.chem.ucla.edu/forum/

https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=21&t=49307

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Posted: **Mon Oct 28, 2019 12:30 am**

Write the subshell notation (3d, for instance) and the number of orbitals having the following quantum numbers: (a) n 5 5, l52; (b) n51,l50;(c) n56,l53; (d) n52,l51.

Posted: **Mon Oct 28, 2019 1:40 am**

i think the question was mistyped but just for reference:

Write the subshell notation (3d, for instance) and the number of orbitals having the following quantum numbers:

a. n=5, l=2 (5d, five)

b. n=1, l=0 (1s, one)

c. n=6, l=2 (6f, seven)

d. n=7, l=3 (2p, three)

Know that

l = 0 corresponds to the s-orbital

l = 1 corresponds to the p-orbital

l = 2 corresponds to the d-orbital

l = 3 corresponds to the f-orbital

Know that

s-orbital = 1 orbital, total of 2 e-

p-orbital = 3 orbitals, total of 6e-

d-orbital = 5 orbitals, total of 10e-

f-orbital = 7 orbitals, total of 14e-

Each orbital has 2 e-

Example using a (n=5, l=2)

--> Since l=2, we can assume this is a d-orbital. We know that the d-orbital has 5 orbitals, each containing 2 electrons

Write the subshell notation (3d, for instance) and the number of orbitals having the following quantum numbers:

a. n=5, l=2 (5d, five)

b. n=1, l=0 (1s, one)

c. n=6, l=2 (6f, seven)

d. n=7, l=3 (2p, three)

Know that

l = 0 corresponds to the s-orbital

l = 1 corresponds to the p-orbital

l = 2 corresponds to the d-orbital

l = 3 corresponds to the f-orbital

Know that

s-orbital = 1 orbital, total of 2 e-

p-orbital = 3 orbitals, total of 6e-

d-orbital = 5 orbitals, total of 10e-

f-orbital = 7 orbitals, total of 14e-

Each orbital has 2 e-

Example using a (n=5, l=2)

--> Since l=2, we can assume this is a d-orbital. We know that the d-orbital has 5 orbitals, each containing 2 electrons

Posted: **Sun Nov 03, 2019 10:05 pm**

For reference for l,

l=0 ---> s orbital

l=1 ---> p orbital

l=2 ---> d orbital

l=3 ---> f orbital (we don't really need to know this)

the principal quantum number, n, just needs to be in the front so,

n=5 l=2 ---> 5d

n=1 l=0 ---> 1s

n=6 l=3 ---> 6f

n=2 l=1 ---> 2p

l=0 ---> s orbital

l=1 ---> p orbital

l=2 ---> d orbital

l=3 ---> f orbital (we don't really need to know this)

the principal quantum number, n, just needs to be in the front so,

n=5 l=2 ---> 5d

n=1 l=0 ---> 1s

n=6 l=3 ---> 6f

n=2 l=1 ---> 2p