Given the order of density:
Diamond`gt`Graphite`gt`Fullerence `C_(60)`, choose thye correct order for `C-C` bond length (Consider large bond length if there are two different bondlengths)

Options

A. Diamond `lt` graphite`lt` fullerene `(C_(60))`
B. Diamond `gt` graphite`gt` fullerene `(C_(60))`
C. Diamond `gt` fullerene `(C_(90^(@))) gt`graphite
D. Diamond `lt` fullerene `(C_(90^(@))) lt`graphite

Explanation

To determine the correct order of C-C bond lengths in diamond, graphite, and fullerene (C60), we need to analyze the hybridization and structure of each form of carbon.

### Step-by-Step Solution:

1. **Identify the Hybridization in Each Structure:**
- **Diamond:** In diamond, each carbon atom is sp³ hybridized. This means that each carbon forms four single bonds with other carbon atoms in a tetrahedral structure.
- **Graphite:** In graphite, each carbon atom is sp² hybridized. This allows each carbon to form three sigma bonds and one delocalized pi bond, resulting in a planar structure.
- **Fullerene (C60):** In C60, the carbon atoms are arranged in a structure that resembles a soccer ball. The hybridization is a mix of sp² and sp³, leading to different bond lengths.

2. **Determine the Bond Lengths:**
- **Diamond:** The C-C bond length in diamond is approximately 154 picometers (pm).
- **Graphite:** The C-C bond length in graphite is around 141.5 pm.
- **Fullerene (C60):** Fullerene has two types of bond lengths due to its structure: approximately 138 pm and 143 pm.

3. **Compare the Bond Lengths:**
- From the above information, we can summarize the bond lengths:
- Diamond: 154 pm
- Graphite: 141.5 pm
- Fullerene (C60): 138 pm and 143 pm

4. **Establish the Order of C-C Bond Lengths:**
- Since we need to consider the larger bond length when there are two different bond lengths in fullerene, we will take the larger bond length of C60 (143 pm).
- Therefore, the order of C-C bond lengths from longest to shortest is:
- Diamond (154 pm) > Fullerene (143 pm) > Graphite (141.5 pm)

### Final Order:
**C-C Bond Lengths: Diamond > Fullerene (C60) > Graphite**