Which of the following statement is //are correct ?

Options

A. There is no probability of finding a p- electron right as the nucless
B. The orbital `d_(2)^(2)` has two libes of electron density directed along the z-axis and a ring of electron density (called dought dough not ) center is the xy- plajne
C. The oriention of p and d orbital minimies electron repalsion in many electron atom
D. None is correct

Answer

To determine which statements are correct regarding atomic structure, we will analyze each statement step by step.

### Step 1: Analyze the first statement
**Statement:** "There is no probability of finding a p electron right at the nucleus."

- **Explanation:** The p orbitals have a nodal plane at the nucleus, which means that the probability of finding an electron in a p orbital at the nucleus is indeed zero. This is because the p orbitals are shaped like dumbbells and do not have any electron density at the nucleus.
- **Conclusion:** This statement is **correct**.

### Step 2: Analyze the second statement
**Statement:** "The orbital dz² has two lobes of electron density directed along the z-axis and a ring of electron density called a 'doughnut' centered in the xy-plane."

- **Explanation:** The dz² orbital does indeed have two lobes that extend along the z-axis, and it also has a toroidal (ring-like) region of electron density in the xy-plane. This description accurately represents the shape of the dz² orbital.
- **Conclusion:** This statement is **correct**.

### Step 3: Analyze the third statement
**Statement:** "The orientation of p and d orbitals minimizes electron repulsion in many-electron atoms."

- **Explanation:** The orientation of p and d orbitals is such that they are arranged in space to minimize electron-electron repulsion. This arrangement contributes to the stability of the atom by allowing electrons to occupy different spatial regions, thus reducing the likelihood of repulsion.
- **Conclusion:** This statement is **correct**.

### Final Conclusion
All three statements are correct. Therefore, the answer is that options A, B, and C are correct.

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