`d_(xy)` orbital has lobes between `x`- and `y`- axes. The wave function of two lobes are positive and those of other two are negative. The positive wave function signifies that :

Options

A. both `x` and `y` are positive
B. both `x` and `y` are negative
C. either `x` ir `y` us negative
D. None of these

Answer

To solve the question regarding the d_(xy) orbital and the significance of its wave function, we can break it down step by step:

### Step-by-Step Solution:

1. **Understanding the d_(xy) Orbital**:
- The d_(xy) orbital is one of the five d orbitals in quantum chemistry. It is characterized by its lobes that lie between the x and y axes.

2. **Wave Function Characteristics**:
- The wave function of an orbital describes the probability amplitude of finding an electron in a particular region of space. In the case of the d_(xy) orbital, it has four lobes: two lobes with positive wave functions and two lobes with negative wave functions.

3. **Identifying Positive and Negative Lobes**:
- The positive wave functions correspond to regions where the probability of finding an electron is higher, while the negative wave functions correspond to regions where the probability is lower.

4. **Significance of Positive Wave Functions**:
- The positive wave function signifies that in the lobes where the wave function is positive, the values of the wave function are greater than zero. This indicates that the electron density is concentrated in these areas.

5. **Conclusion**:
- Therefore, the positive wave function signifies that both lobes with positive wave functions correspond to regions where the electron density is high, and similarly, the lobes with negative wave functions correspond to regions where the electron density is low. This leads to the conclusion that the positive wave function signifies that both lobes are either positive or negative.

### Final Answer:
The positive wave function signifies that both lobes are either both positive or both negative.