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Ch.7 - Quantum-Mechanical Model of the Atom
Chapter 7, Problem 66

Determine whether each transition in the hydrogen atom corresponds to absorption or emission of energy. a. n = 3 → n = 1 b. n = 2 → n = 4 c. n = 4 → n = 3

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Energy Levels in Atoms

In an atom, electrons occupy specific energy levels or shells, denoted by quantum numbers (n). The energy levels are quantized, meaning electrons can only exist at certain distances from the nucleus. When an electron transitions between these levels, it either absorbs or emits energy, depending on whether it moves to a higher or lower energy level.
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Absorption and Emission of Energy

Absorption occurs when an electron gains energy and moves to a higher energy level (higher n value), while emission occurs when an electron loses energy and falls to a lower energy level (lower n value). The energy change associated with these transitions corresponds to the difference in energy between the two levels, often represented by the equation E = hf, where E is energy, h is Planck's constant, and f is frequency.
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Quantum Transitions in Hydrogen

In the hydrogen atom, transitions between energy levels can be predicted using the Rydberg formula, which calculates the wavelengths of emitted or absorbed light. For example, a transition from n = 3 to n = 1 involves emission of energy, while a transition from n = 2 to n = 4 involves absorption. Understanding these transitions is crucial for interpreting spectral lines and the behavior of hydrogen in various energy states.
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