Give the total number of isomer of `[Be(gly)_(2)]`

Explanation

To determine the total number of isomers for the coordination compound \([Be(gly)_2]\), where "gly" represents glycinate (the bidentate ligand), we can follow these steps:

### Step 1: Identify the Coordination Number
Beryllium (Be) in this compound has a coordination number of 4 because each glycinate ligand is bidentate, meaning it can bind through two donor atoms (one nitrogen and one oxygen).

**Hint:** The coordination number is determined by the number of donor atoms from the ligands that surround the central metal atom.

### Step 2: Determine the Geometry
With a coordination number of 4, the geometry of the complex is typically square planar. This is important because the geometry will influence the types of isomers that can exist.

**Hint:** The geometry of the complex can help predict the possible arrangements of ligands around the central metal atom.

### Step 3: Analyze the Ligands
Glycinate (gly) is a bidentate ligand, meaning it can attach to the metal at two sites. In this case, it binds through nitrogen and oxygen.

**Hint:** Bidentate ligands can create different arrangements in the complex, leading to different isomers.

### Step 4: Consider Possible Isomer Types
For square planar complexes with bidentate ligands, we can have:
- **Cis isomers:** where the two ligands are adjacent to each other.
- **Trans isomers:** where the two ligands are opposite each other.

In the case of \([Be(gly)_2]\), since the ligands are identical, the arrangement will lead to two distinct isomers:
1. **Cis isomer**: Both glycinate ligands are adjacent.
2. **Trans isomer**: Both glycinate ligands are opposite each other.

**Hint:** Identifying the arrangement of identical ligands can help determine the types of isomers present.

### Step 5: Determine Optical Activity
In this case, the cis isomer may have a plane of symmetry, making it optically inactive, while the trans isomer may lack a plane of symmetry, making it optically active.

**Hint:** The presence or absence of a plane of symmetry can help determine if an isomer is optically active or inactive.

### Conclusion
Thus, the total number of isomers for \([Be(gly)_2]\) is 2: one cis isomer and one trans isomer.

**Final Answer:** The total number of isomers of \([Be(gly)_2]\) is 2.

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