Which bond properties are consistent with one another?

Options

A. `{:(Bond "order",,Bond"length",,Vibrational frequency),(higher,,"shorter",,higher):}`
B. `{:(Bond "order",,Bond"length",,Vibrational frequency),(lower,,"shorter",,lower):}`
C. `{:(Bond "order",,Bond"length",,Vibrational frequency),(higher,,"longer",,lower):}`
D. `{:(Bond "order",,Bond"length",,Vibrational frequency),(lower,,"longer",,higher):}`

Answer

To solve the question "Which bond properties are consistent with one another?", we will analyze the relationships between bond order, bond length, and stretching frequency.

### Step-by-Step Solution:

1. **Understanding Bond Order**:
- Bond order is defined as the number of chemical bonds between a pair of atoms. For example, a single bond has a bond order of 1, a double bond has a bond order of 2, and a triple bond has a bond order of 3.

**Hint**: Remember that bond order indicates the strength and stability of a bond; higher bond order means a stronger bond.

2. **Relationship Between Bond Order and Bond Length**:
- There is an inverse relationship between bond order and bond length. As bond order increases (more bonds between atoms), bond length decreases. This means that higher bond order corresponds to shorter bond lengths.

**Hint**: Think of bond length as the distance between the nuclei of two bonded atoms; more bonds pull the atoms closer together.

3. **Understanding Stretching Frequency**:
- Stretching frequency refers to the vibrational frequency of a bond when it stretches. It is influenced by the bond strength; stronger bonds (higher bond order) will have higher stretching frequencies.

**Hint**: Visualize stretching frequency as how quickly the bond can vibrate; stronger bonds vibrate faster.

4. **Establishing Relationships**:
- From the above points, we can summarize:
- Higher bond order → Shorter bond length
- Higher bond order → Higher stretching frequency
- Therefore, we can conclude that:
- Higher bond length → Lower bond order
- Higher bond length → Lower stretching frequency

**Hint**: Create a table or diagram to visualize these relationships for better understanding.

5. **Evaluating Options**:
- Now, let’s evaluate the given options based on our analysis:
- **Option 1**: Bond order high, bond length shorter - **Correct** (consistent)
- **Option 2**: Bond order lower, bond length lower - **Incorrect** (inversely proportional)
- **Option 3**: Bond order higher, bond length higher - **Incorrect** (inversely proportional)
- **Option 4**: Bond order lower, bond length longer - **Incorrect** (but bond order lower means lower stretching frequency)

**Hint**: Always check the relationships against the principles you’ve established.

6. **Conclusion**:
- The only consistent relationship among the bond properties is found in **Option 1**: Higher bond order corresponds to shorter bond length and higher stretching frequency.

### Final Answer:
The bond properties that are consistent with one another are: **Bond order high, bond length shorter, and stretching frequency high** (Option 1).