Which of the following statement is/are correct regarding B-F bond in `BF_(3)`?

Options

A. All the three B-F bond lengths are equal and each of them is shorter than the sum of the covalent radii of boron and fluorine
B. The bond energy of the B-F bond is very high, higher than for any other single bond
C. The unusual shortness and strength of the B-F bond may be explained by `p pi- p pi` interaction between boron and fluorine atoms
D. The unusual shortness and strength of the bonds may be explained by a `p pi- d pi` interaction between boron and fluorine atoms.

Answer

To determine which statements regarding the B-F bond in BF₃ are correct, let's analyze each statement step by step.

### Step 1: Analyze the first statement
**Statement 1:** All the three BF bond lengths are equal and each of them is shorter than the sum of the covalent radii of boron and fluorine.

- **Explanation:** In BF₃, the boron atom is surrounded by three fluorine atoms. Due to resonance, the BF bonds exhibit equal lengths, and the bond lengths are indeed shorter than the sum of the covalent radii of boron and fluorine. This is due to the presence of resonance structures that give the bonds a partial double bond character.

**Conclusion:** This statement is **correct**.

### Step 2: Analyze the second statement
**Statement 2:** The bond energy of the BF bond is very high, higher than for any other single bond.

- **Explanation:** The BF bond has a significant bond energy because of the partial double bond character resulting from resonance. Double bonds generally have higher bond energies than single bonds. Therefore, the bond energy of BF is indeed high.

**Conclusion:** This statement is **correct**.

### Step 3: Analyze the third statement
**Statement 3:** The unusual shortness and strength of the BF bond may be explained by pπ-pπ interaction between boron and the fluorine atoms.

- **Explanation:** The BF bond's strength and shortness can be attributed to the pπ-pπ interactions. Both boron and fluorine have p orbitals that can overlap to form a π bond, contributing to the bond's strength and shortness.

**Conclusion:** This statement is **correct**.

### Step 4: Analyze the fourth statement
**Statement 4:** The unusual shortness and strength of the bonds may be explained by pπ-dπ interaction between boron and fluorine atoms.

- **Explanation:** This statement is incorrect because neither boron nor fluorine has d orbitals available for bonding. The bonding in BF₃ is primarily due to p orbitals, not d orbitals.

**Conclusion:** This statement is **incorrect**.

### Final Answer
The correct statements regarding the B-F bond in BF₃ are:
- Statement 1: Correct
- Statement 2: Correct
- Statement 3: Correct
- Statement 4: Incorrect

Thus, the correct options are **A, B, and C**.