The configuration of d^9 has 1 number of unpaired electron and total spin =n/2
where 'n' is the number of unpaired electrons
Therefore the total spin for d^9 is = 1/2 (n=1).

Total Spin Resulting from a d9 Configuration

The total spin resulting from a d9 configuration can be understood by considering the individual spins of the electrons in the configuration.

Individual Spins
In a d9 configuration, there are 9 electrons occupying the d subshell. Each electron has a spin quantum number of either +1/2 or -1/2, representing the two possible spin orientations.

Spin Quantum Number
The spin quantum number is a fundamental property of electrons that determines their intrinsic angular momentum and direction of rotation.

Pauli Exclusion Principle
According to the Pauli Exclusion Principle, no two electrons in an atom can have the same set of quantum numbers, including spin. This means that each electron in the d9 configuration must have a unique spin orientation.

Total Spin
The total spin resulting from a d9 configuration is calculated by adding up the spin quantum numbers of all the electrons in the configuration.

Calculation
In the case of a d9 configuration, where all 9 electrons have a spin quantum number of +1/2, the total spin will be 9/2, as the spins are all aligned in the same direction.

Conclusion
Therefore, the total spin resulting from a d9 configuration with all electrons having the same spin orientation is 9/2. This total spin value is a crucial factor in determining the magnetic properties and behavior of the atom or molecule with this configuration.