Calculate the magnetic moment (spin only) of manganese in `K_4 [Mn(NCS)_6]`.

Explanation

To calculate the magnetic moment (spin-only) of manganese in the complex \( K_4[Mn(NCS)_6] \), we will follow these steps:

### Step 1: Determine the oxidation state of manganese in the complex
In the complex \( K_4[Mn(NCS)_6] \), the thiocyanate ion \( (NCS)^- \) has a charge of -1. Since there are 6 thiocyanate ions, the total negative charge contributed by them is \( 6 \times (-1) = -6 \).

The overall charge of the complex is neutral, and the potassium ions \( K^+ \) have a charge of +4 (since there are 4 potassium ions). Therefore, we can set up the equation for the oxidation state of manganese \( x \):

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