Step 1: Definition: - The \( S_N1 \) (unimolecular nucleophilic substitution) reaction follows a two-step mechanism. - It occurs in tertiary haloalkanes due to carbocation stability.
Step 2: Mechanism:
Step 2.1: Formation of Carbocation (Rate Determining Step): \[ R-X \rightarrow R^+ + X^- \]
Step 2.2: Nucleophilic Attack: \[ R^+ + Nu^- \rightarrow R-Nu \]
Step 3: Example: \[ (CH_3)_3CBr \xrightarrow{H_2O} (CH_3)_3C^+ + Br^- \] \[ (CH_3)_3C^+ + H_2O \rightarrow (CH_3)_3COH + H^+ \]
What is a rate determining step?
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]