Question

1st attempt
part 1 (1 point)
orbital with the following boundary-surface representations:
part 2 (1 point)
orbital with the following boundary-surface representations:

Explanation:

Part 1

Step1: Identify orbital shape

The boundary - surface representation shows a dumb - bell shape along the x - axis. This is characteristic of a \(p\) orbital. Specifically, when the dumb - bell is along the x - axis, it is a \(p_x\) orbital (or we can also refer to it as a \(2p\) (or higher \(n\)) orbital with the angular momentum quantum number \(l = 1\) and magnetic quantum number \(m_l=\pm1\) or \(0\) depending on orientation, but the shape here is a \(p\) orbital, often labeled as \(p_x\) for this orientation).

Step2: Recall orbital types

\(s\) orbitals are spherical, \(p\) orbitals are dumb - bell shaped, and \(d\) orbitals have more complex shapes (like cloverleaf for \(d_{xy},d_{xz},d_{yz},d_{x^{2}-y^{2}}\) or a doughnut - like with a lobe along the z - axis for \(d_{z^{2}}\)). The given shape is dumb - bell, so it's a \(p\) orbital (e.g., \(p_x\), or we can say it's a \(p\) orbital, and if we consider the principal quantum number, for the first set of \(p\) orbitals it's \(2p\), but the key is the orbital type is \(p\) (or more specifically \(p_x\) or a general \(p\) orbital).

Step1: Identify orbital shape

The boundary - surface representation shows a clover - leaf - like shape in the xy - plane (or with lobes along the x and y axes). This is characteristic of a \(d\) orbital. Specifically, the shape with four lobes in the xy - plane (and a nodal plane along the z - axis) is the \(d_{x^{2}-y^{2}}\) orbital (or a general \(d\) orbital with \(l = 2\)).

Step2: Recall orbital types

As mentioned before, \(s\) is spherical, \(p\) is dumb - bell, and \(d\) orbitals have more complex shapes. The clover - leaf shape (with four lobes in a plane perpendicular to the z - axis) is a \(d\) orbital, specifically \(d_{x^{2}-y^{2}}\) (or a general \(d\) orbital with \(l = 2\)).

Answer:

\(p\) orbital (or \(p_x\) orbital, or \(2p\) orbital etc. depending on context, but the main identification is a \(p\) - type orbital)

Part 2