The number of microstates for a given configuration can be determined by considering the total number of ways the electrons can be distributed among the available energy levels. In this case, we are considering a 3p^13 d^1 configuration.

Number of microstates for 3p^13 d^1 configuration:
To determine the number of microstates for this configuration, we need to consider the number of ways the 14 electrons can be distributed among the 4 available orbitals.

1. Determine the number of ways to distribute the 3p^13 electrons among the 3p orbitals:
- In the 3p subshell, there are three orbitals available: 3px, 3py, and 3pz.
- The 3p^13 electrons can be distributed in these orbitals in the following ways:
- 3px^13, 3py^0, 3pz^0
- 3px^12, 3py^1, 3pz^0
- 3px^12, 3py^0, 3pz^1
- 3px^11, 3py^2, 3pz^0
- 3px^11, 3py^1, 3pz^1
- 3px^11, 3py^0, 3pz^2
- 3px^10, 3py^3, 3pz^0
- 3px^10, 3py^2, 3pz^1
- 3px^10, 3py^1, 3pz^2
- 3px^10, 3py^0, 3pz^3

2. Determine the number of ways to distribute the d^1 electron among the d orbitals:
- In the d subshell, there are five orbitals available: dxy, dyz, dxz, dx^2-y^2, and dz^2.
- The d^1 electron can be distributed in these orbitals in five different ways:
- dxy^1, dyz^0, dxz^0, dx^2-y^2^0, dz^2^0
- dxy^0, dyz^1, dxz^0, dx^2-y^2^0, dz^2^0
- dxy^0, dyz^0, dxz^1, dx^2-y^2^0, dz^2^0
- dxy^0, dyz^0, dxz^0, dx^2-y^2^1, dz^2^0
- dxy^0, dyz^0, dxz^0, dx^2-y^2^0, dz^2^1

3. Calculate the total number of microstates:
- To find the total number of microstates, we multiply the number of ways to distribute the electrons in each subshell.
- For the 3p^13 configuration, there are 10 possible distributions.
- For the d^1 configuration, there are 5 possible distributions.
- Therefore, the total number of microstates is equal to 10 x 5 = 50.

However, we need to consider that electrons are