The number of given orbitals which have electron density along the axis ispx,py,pz,dxy,dyz,dxz,d2z,dx2−y2

To solve the problem, let's analyze the given orbitals and determine which of them have electron density along the axis. Here’s the breakdown:

1. ### Break Down the Problem

We need to identify the orbitals from the list that have electron density specifically along the z-axis.

2. ### Relevant Concepts

• Orbital Types: Understanding the shape and orientation of orbitals:
  • p Orbitals: p_x and p_y orbitals have lobes oriented along the x-axis and y-axis, respectively, and do not have density along the z-axis. The p_z orbital has a density along the z-axis.
  • d Orbitals: The d_xy, d_yz, and d_xz orbitals have density in the xy, yz, and xz planes, respectively, but not along the z-axis. The d_{2z} and d_{x^2-y^2} orbitals have density in the z-direction.

3. ### Analysis and Detail

By evaluating each orbital:

1. p_x: Density along x-axis — No
2. p_y: Density along y-axis — No
3. p_z: Density along z-axis — Yes
4. d_{xy}: Density in xy-plane — No
5. d_{yz}: Density in yz-plane — No
6. d_{xz}: Density in xz-plane — No
7. d_{2z}: Density along z-axis — Yes
8. d_{x^2-y^2}: Density in xy-plane — No

4. ### Verify and Summarize

From the analysis, the orbitals with electron density along the z-axis are:

• $p_z$
• $d_{2z}$

Final Answer

The orbitals with electron density along the axis are: p_z and d_{2z}.