Which of the folowing have identical bond orders ? .

Options

A. `O_(2)^(Θ)`
B. `CN^(Θ)`
C. `NO^(o+)`
D. `CN^(o+)`

Explanation

To determine which of the given options have identical bond orders, we need to calculate the total number of electrons for each species and then use that information to find the bond order. The bond order can be calculated using the formula:

\[ \text{Bond Order} = \frac{(\text{Number of bonding electrons} - \text{Number of antibonding electrons})}{2} \]

However, since we are only interested in identifying which species have the same bond order, we can focus on counting the total number of electrons in each species.

### Step-by-Step Solution:

1. **Identify the first species: O2-**
- Each oxygen atom has 8 electrons.
- For 2 oxygen atoms: \( 8 \times 2 = 16 \) electrons.
- Since there is a negative charge (O2-), we add 1 electron.
- Total electrons = \( 16 + 1 = 17 \) electrons.

2. **Identify the second species: CN-**
- Carbon has 6 electrons and nitrogen has 7 electrons.
- Total from carbon and nitrogen: \( 6 + 7 = 13 \) electrons.
- Since there is a negative charge (CN-), we add 1 electron.
- Total electrons = \( 13 + 1 = 14 \) electrons.

3. **Identify the third species: NO+**
- Nitrogen has 7 electrons and oxygen has 8 electrons.
- Total from nitrogen and oxygen: \( 7 + 8 = 15 \) electrons.
- Since there is a positive charge (NO+), we subtract 1 electron.
- Total electrons = \( 15 - 1 = 14 \) electrons.

4. **Identify the fourth species: CN+**
- Carbon has 6 electrons and nitrogen has 7 electrons.
- Total from carbon and nitrogen: \( 6 + 7 = 13 \) electrons.
- Since there is a positive charge (CN+), we subtract 1 electron.
- Total electrons = \( 13 - 1 = 12 \) electrons.

5. **Compare the total number of electrons:**
- O2- has 17 electrons.
- CN- has 14 electrons.
- NO+ has 14 electrons.
- CN+ has 12 electrons.

6. **Conclusion:**
- CN- and NO+ both have 14 electrons, indicating they have the same bond order.
- Therefore, the species with identical bond orders are **CN- and NO+**.

### Final Answer:
The species that have identical bond orders are **B (CN-) and C (NO+)**.