Home
Class 12
CHEMISTRY
Which of the following orbitals are dege...

Which of the following orbitals are degenerate?
`3d_(xy), 4d_(xy), 3d_(z)^(2), 3d_(yz), 5d_(z)^(2)`

A

`3d_(xy), 3d_(z)^(2), 3d_(yz)`

B

`4d_(xy), 3d_(z)^(2), 3d_(yz)`

C

`3d_(z)^(2), 3d_(yz), 5d_(z)^(2)`

D

None

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given orbitals are degenerate, we need to analyze the principal quantum number (n) and the azimuthal quantum number (l) for each orbital. Degenerate orbitals have the same values of n and l. ### Step-by-Step Solution: 1. **Identify the given orbitals:** - 3d_(xy) - 4d_(xy) - 3d_(z)^(2) - 3d_(yz) - 5d_(z)^(2) 2. **Determine the n and l values for each orbital:** - For **3d_(xy)**: - n = 3 (principal quantum number) - l = 2 (d-orbital) - For **4d_(xy)**: - n = 4 - l = 2 - For **3d_(z)^(2)**: - n = 3 - l = 2 - For **3d_(yz)**: - n = 3 - l = 2 - For **5d_(z)^(2)**: - n = 5 - l = 2 3. **Identify degenerate orbitals:** - Degenerate orbitals must have the same n and l values. - Compare the orbitals: - **3d_(xy)**, **3d_(z)^(2)**, and **3d_(yz)** all have n = 3 and l = 2. - **4d_(xy)** has n = 4 and l = 2, which is not degenerate with the others. - **5d_(z)^(2)** has n = 5 and l = 2, which is also not degenerate with the others. 4. **Conclusion:** - The degenerate orbitals are **3d_(xy)**, **3d_(z)^(2)**, and **3d_(yz)**. ### Final Answer: The degenerate orbitals are: **3d_(xy), 3d_(z)^(2), and 3d_(yz)**. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

Which of the following orbitals are degenerate? 3d_(xy),4d_(xy),3d_(z^(2),3d_(yz),4d_(yz),4d_(z^(2))

How many of the following atomic orbitals of H atom are degenerate? 3s, 3p_(x), 3p_(z), 3d_(xy), 3d_(xz), 3d_(x^(2)-y^(2)), 3d_(z^(2)).

How many atomic orbitals of the following have more than one node? 1s, 2s, 3p_(x), 3d_(xy), 3d_(z^(2)), 4p_(z), 4d_(x^(2)-y^(2))

Which of the following orbitals are valid? 1s, 2p_(x),3d_(x^(2)-z^(2)),4p_(z),2p_(y),3d_(x^(2)),2d_(x^(2)-y^(2)),4d_(z^(2))

Which of the d orbitals lies in the xy-plane ?

Consider the following orbitals 3s, 2p_(x), 4d_(xy),4d_(z^(2)), 3d_(x^(2)-y^(2)),3p_(y),4s,4p_(z) and find total number of orbital (s) having even number of nodal plane.

When hybridisation involving d-orbitals are considered then all the five d-orbitals are not degenerate, rather d_(x^(2)-y^(2)),d_(s^(2)) and d_(xy),d_(zx) form two different sets of orbitals and orbitals of appropriate set is involved in the hybridisation. Which of the following orbitals can not undergo hybridisation amongst themselves. (I) 3d,4s " " (II) 3d,4d (III) 3d,4s & 4p " " (IV) 3s,3p & 4s

When hybridisation involving d-orbitals are considered then all the five d-orbitals are not degenerate, rather d_(x^(2)-y^(2)),d_(s^(2)) and d_(xy),d_(zx) form two different sets of orbitals and orbitals of appropriate set is involved in the hybridisation. Which of the following orbitals can not undergo hybridisation amongst themselves. (I) 3d,4s " " (II) 3d,4d (III) 3d,4s & 4p " " (IV) 3s,3p & 4s

When hybridisation involving d-orbitals are considered then all the five d-orbitals are not degenerate, rather d_(x^(2)-y^(2)),d_(s^(2)) and d_(xy),d_(zx) form two different sets of orbitals and orbitals of appropriate set is involved in the hybridisation. In sp^(3)d^(3) hybridisation, which orbitals are involved ?

When hybridisation involving d-orbitals are considered then all the five d-orbitals are not degenerate, rather d_(x^(2)-y^(2)),d_(s^(2)) and d_(xy),d_(zx) form two different sets of orbitals and orbitals of appropriate set is involved in the hybridisation. In sp^(3)d^(2) hybridisation, which sets of d-orbitals is involved ?