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Home » Let the number of atom types be \( x \) and \( y \). We know: - Veritas Home Health

Let the number of atom types be \( x \) and \( y \). We know: - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Case 1:** $ 3\theta = 2k\pi + 2\theta $

📌 Subtract $ 2\theta $ from both sides:

📌 \theta = 2k\pi

📌 Within $ [0, 2\pi) $, the only solution is $ \theta = 0 $.

📌 Case 2:** $ 3\theta = 2k\pi - 2\theta $

📌 Add $ 2\theta $ to both sides:

📌 5\theta = 2k\pi \quad \Rightarrow \quad \theta = \frac{2k\pi}{5}

📌 We now find all values of $ k $ such that $ 0 \leq \frac{2k\pi}{5} < 2\pi $.

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