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One of the major requirement in atomic s...

One of the major requirement in atomic structure is determination of location of electron inside an atom. The wave mechanical model establishes this in accordance with Heisenberg's uncertainty principle through the concept of orbitals. The orbitals are defined as that '3D' space in which probability of finding electron is maximum and are represented by wave functions `Psi_(n,l,m)` where n,l and m are quantum number. The variation of `Psi` is analysed in terms of polar coordinates and hence `Psi = f( r, 0 , phi)` where 'r' represents radius vector and 0 and `phi` represents angle `(/_)` Which the radius vector with x-axis respectively. The expressions of `Psi_(r,0, phi)` are often given in terms of `sigma` instead of r where `sigma=(2Zr)/(nalpha_(0))` and Z = atomic number and n= shell number.
If an orbital is represented as:
`Psi_(r,0,phi)=2/3((1)/(3alpha_(0)))^(3//2).(sigma-1)(sigma^(2)-8sigma+12) .sigma^(-sigma//2).cos0`
belong to which orbital?

A

`6d_(x^(2)-y^(2))`

B

`5p_(z)`

C

`5p_(y)`

D

`6d_(z)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

l=1,n-l-1=3
`n=5 rArr 5 p_(z)`
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One of the major requirement in atomic structure is determination of location of electron inside an atom. The wave mechanical model establishes this in accordance with Heisenberg's uncertainity principle through the concept of orbitals. The orbitals are defined as that '3D' space in which probability of finding electron is maximum and are represented by wave functions Psi_(n,l,m) where n,l and m are quantum number. The variation of Psi is analysed in terms of polar coordinates and hence Psi = f( r, 0 , phi) where 'r' represents radius vector and 0 and phi represents angle (/_) Which the radius vector with x-axis respectively. The expressions of Psi_(r,0, phi) are often given in terms of sigma instead of r where sigma=(2Zr)/(nalpha_(0)) and Z = atomic number and n= shell number. Which of the following wave function cannot represent an atomic orbital of H-atom?

Why did Heisenberg’s uncertainty principle replace the concept of definite orbit by the concept of probability?

Which subshell is represented by the wave function Psi_(431) ?

Probability of finding the electron psi^(2) of 's' orbital does not depend upon

The location and momentum of an electron in an orbital are complementary to each other. The statement is against Heisenberg's uncertainty principle.

Which orbital is represented by the complete wave function Psi_(410) ?

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