Step 1: Determine the Electron Configuration of the Acetylide Ion (C22-)
The acetylide ion (C22-) consists of two carbon atoms, each contributing 6 electrons, and it has a -2 charge. Therefore, the total number of electrons is:
- Total electrons = 2 (from C) + 2 (from charge) = 14 electrons.
Step 2: Write the Molecular Orbital Diagram for C22-
The molecular orbital configuration for C22- can be derived from the molecular orbital theory. The order of filling for the molecular orbitals for diatomic carbon species is:
- σ(1s), σ*(1s), σ(2s), σ*(2s), σ(2p_z), π(2p_x), π(2p_y), π*(2p_x), π*(2p_y)
For C22-, the electron configuration will be:
- σ(1s)² σ*(1s)² σ(2s)² σ*(2s)² σ(2p_z)² π(2p_x)² π(2p_y)²
Step 3: Calculate the Bond Order
The bond order can be calculated using the formula:
Bond Order = (Number of bonding electrons - Number of antibonding electrons) / 2
From the configuration:
- Bonding electrons = 10 (σ(1s)² + σ(2s)² + σ(2p_z)² + π(2p_x)² + π(2p_y)²)
- Antibonding electrons = 4 (σ*(1s)² + σ*(2s)²)
Now, substituting into the formula:
Bond Order = (10 - 4) / 2 = 3
Step 4: Determine the Magnetic Property
To determine the magnetic property, we look at the number of unpaired electrons. In the case of C22-, all electrons are paired in the molecular orbital configuration. Therefore, C22- is diamagnetic.
Step 5: Compare with Other Species
We need to find another species with the same bond order (3) and magnetic property (diamagnetic).
- The species that fits this description is the nitrosyl cation (NO+).
- The electron configuration for NO+ (which has 14 electrons) is similar, leading to a bond order of 3 and being diamagnetic.
Conclusion
The bond order and magnetic property of the acetylide ion (C22-) are the same as that of the nitrosyl cation (NO+).
Final Answer
The correct answer is: NO+ (Nitrosyl cation).




Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).
