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Azimuthal quantum number (l) : It desc...

Azimuthal quantum number (l) :
It describes the shape of electron cloud and the number of subshells in a shell. It can have value from 0 to (n-1)
`{:("Value of l",0,1,2,3),("subshell",s,p,d,r):}`
Number of orbitals in a subshell =2l+1
Orbital angular momentum L`=h/(2pi)sqrt(l(l+1)) =ħsqrt(l(l+1)) " " [ħ=h/(2pi)]`
Magnetic quantum number (m) :
It describes the orientations of the subshells . It can have values from -l to +l including zero, i.e. , total (2l+1) values . Each value corresponds to an orbital. s-subshell has one orbital , p-subshell three orbitals `(p_x ,p_y and p_z)` , d-subshell five orbitals `(d_"xy", d_"yz",d_(x^2-y^2), d_z^2)` and f-subshell has seven orbitals.
Spin quantum number (s) :
It describes the spin of the electron. It has values +1/2 and -1/2 . Signifies clockwise spinning and anticlockwise rotation of electron about its own axis.
Spin of the electron produces angular momentum equal to `S=sqrt(s(s+1)) h/(2pi)` where `s=+1/2`
Total spin of an atom `=+n/2` or `-n/2` (where n is the number of unpaired electron )
The magnetic moment of an atom
`mu_s=sqrt(n(n+2))` B.M. n=number of unpaired electrons
B.M. (Bohr magneton)
The correct order of the maximum spin of `[._25Mn^(4+),._24Cr^(3+), ._26Fe^(3+)]` is :

A

`Fe^(3+) gt Cr^(3+) = Mn^(4+)`

B

`Fe^(3+) = Cr^(3+) gt Mn^(4+)`

C

`Cr^(3+)=Mn^(4+) gt Fe^(3+)`

D

`Fe^(3+) gt Mn^(4+) gt Cr^(3+)`

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Azimuthal quantum number (l) : It describes the shape of electron cloud and the number of subshells in a shell. It can have value from 0 to (n-1) {:("Value of l",0,1,2,3),("subshell",s,p,d,r):} Number of orbitals in a subshell =2l+1 Orbital angular momentum L =h/(2pi)sqrt(l(l+1)) =ħsqrt(l(l+1)) " " [ħ=h/(2pi)] Magnetic quantum number (m) : It describes the orientations of the subshells . It can have values from -l to +l including zero, i.e. , total (2l+1) values . Each value corresponds to an orbital. s-subshell has one orbital , p-subshell three orbitals (p_x ,p_y and p_z) , d-subshell five orbitals (d_"xy", d_"yz",d_(x^2-y^2), d_z^2) and f-subshell has seven orbitals. Spin quantum number (s) : It describes the spin of the electron. It has values +1/2 and -1/2 . Signifies clockwise spinning and anticlockwise rotation of electron about its own axis. Spin of the electron produces angular momentum equal to S=sqrt(s(s+1)) h/(2pi) where s=+1/2 Total spin of an atom =+n/2 or -n/2 (where n is the number of unpaired electron ) The magnetic moment of an atom mu_s=sqrt(n(n+2)) B.M. n=number of unpaired electrons B.M. (Bohr magneton) A d-block element has total spin value of +3 or -3 then the magnetic moment of the element is approximately :

Azimuthal quantum number (l) : It describes the shape of electron cloud and the number of subshells in a shell. It can have value from 0 to (n-1) {:("Value of l",0,1,2,3),("subshell",s,p,d,r):} Number of orbitals in a subshell =2l+1 Orbital angular momentum L =h/(2pi)sqrt(l(l+1)) =ħsqrt(l(l+1)) " " [ħ=h/(2pi)] Magnetic quantum number (m) : It describes the orientations of the subshells . It can have values from -l to +l including zero, i.e. , total (2l+1) values . Each value corresponds to an orbital. s-subshell has one orbital , p-subshell three orbitals (p_x ,p_y and p_z) , d-subshell five orbitals (d_"xy", d_"yz",d_(x^2-y^2), d_z^2) and f-subshell has seven orbitals. Spin quantum number (s) : It describes the spin of the electron. It has values +1/2 and -1/2 . Signifies clockwise spinning and anticlockwise rotation of electron about its own axis. Spin of the electron produces angular momentum equal to S=sqrt(s(s+1)) h/(2pi) where s=+1/2 Total spin of an atom =+n/2 or -n/2 (where n is the number of unpaired electron ) The magnetic moment of an atom mu_s=sqrt(n(n+2)) B.M. n=number of unpaired electrons B.M. (Bohr magneton) Orbital angular momentum of an electron is sqrt3h/pi then the number of orientations of this orbital in spaces are :

Knowledge Check

  • Describe the orbital with following quantum numbers: (i) n=3, l=2 (ii) n=4, l=3

    A
    (i) 3p, (ii) 4f
    B
    (i) 3d, (ii) 4d
    C
    (i) 3f, (ii) 4f
    D
    (i) 3d, (ii) 4f
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