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How many electrons in an atom can have the following designation: 6dxy?

A) 2
B) 4
C) 6
D) 10

User Laprof
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1 Answer

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Final answer:

The designation 6dxy corresponds to three orbitals, each capable of holding 2 electrons, so the total is 3 * 2 = 6.
Therefore, the correct answer is:C) 6

Step-by-step explanation:

The designation 6dxy refers to a specific orbital within the electron configuration of an atom. In quantum mechanics, electrons are arranged in orbitals, each with a unique set of quantum numbers.

The principal quantum number (n) denotes the energy level of the orbital, and the azimuthal quantum number (l) specifies the orbital shape. In this case, the designation 6dxy implies an orbital in the sixth energy level (n=6) with an azimuthal quantum number (l) of 2, corresponding to the d orbital.

The subscript xy indicates the orientation of the orbital in space.

Each orbital can accommodate a maximum of 2 electrons, according to the Pauli exclusion principle. The three-dimensional orientation of the 6dxy orbital suggests that there are three distinct orientations in space, each capable of holding 2 electrons. Therefore, the total number of electrons that can have the 6dxy designation is 3 * 2 = 6.

Understanding the electronic structure of atoms is fundamental to explaining their chemical behavior and interactions. The arrangement of electrons in orbitals follows specific rules, such as the Aufbau principle and Hund's rule, which contribute to the overall stability and reactivity of an atom.

User Vignesh Prajapati
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