Question

Electron density in the yz plane of 3dₓ₂₋ᵧ₂ orbital is
a) zero
b) 0.50
c) 0.75
d) 0.90

Answer 1

Final Answer : b) 0.5

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Steps :
1) Electron Density is the probability of finding an electron at a specified location.

2) Here,
In d(x^2 -y^2) ,
Lobes lie along x and y - axis and these are parts of maximum electron density.

3) These lobes which are along x and y are symmetrical to each other .
So, If the probability of finding an electron along x-axis is 'a'.
Then, Probability along y-axis is also 'a'.

4) By YZ plane, we have probability as:

P = P(Y) / P(X) + P(Y)

$= \frac{a}{2a} \\ = \frac{1}{2}$

Hence, Required Electron Density is 0.5 .

Answer 2

Answer:

In 3dx² – y² , the orientation of electron is along the X–axis and Y–axis .

Hence , orientation component along Z–Axis is zero .

Hence , there is no probability of finding electron in YZ plane .

This answer is correct and another one with answer 0.5 is totally wrong .