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Ch.6 - Electronic Structure of Atoms
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 14th EditionCh.6 - Electronic Structure of Atoms문제 6b
6장, 문제 6b

A certain quantum-mechanical system has the energy levels shown in the accompanying diagram. The energy levels are indexed by a single quantum number n that is an integer. (b) Which quantum numbers are involved in the transition that requires the least energy?
Diagram showing energy levels indexed by quantum number n for quantum mechanics.

검증된 단계별 안내
1
Identify the energy levels in the diagram, which are indexed by the quantum number n (n = 1, 2, 3, 4, 5).
Understand that the transition requiring the least energy will be between the closest energy levels.
Observe the spacing between the energy levels in the diagram.
Determine which two consecutive energy levels have the smallest gap between them.
Conclude that the transition between these two levels involves the least energy.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Quantum Numbers

Quantum numbers are numerical values that describe the unique quantum state of an electron in an atom. The principal quantum number (n) indicates the energy level of the electron, with higher values corresponding to higher energy levels. In this context, transitions between these levels involve changes in energy, which are quantified by the difference in the principal quantum numbers.
추천 영상:
가이드 코스
02:55
Principal Quantum Number

Energy Transitions

Energy transitions in quantum systems occur when an electron moves between different energy levels. The energy required for a transition is determined by the difference in energy between the initial and final states. The least energy transition corresponds to the smallest difference in quantum numbers, which can be calculated as the absolute difference between the two involved quantum numbers.
추천 영상:
가이드 코스
03:12
Transition Metals

Energy Level Diagram

An energy level diagram visually represents the allowed energy levels of a quantum system, with each level corresponding to a specific quantum number. In the provided diagram, the levels are indexed by n, where n = 1 is the lowest energy state and n = 5 is the highest. Analyzing this diagram helps identify which transitions require the least energy by observing the proximity of the levels.
추천 영상:
가이드 코스
01:57
Energy Diagrams
관련 실천
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Calculate the wavelength of the photon emitted for transition B.

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교과서 질문

Consider the three electronic transitions in a hydrogen atom shown here, labeled A, B, and C. (b) Calculate the energy of the photon emitted for each transition.

Calculate the energy of the photon emitted for transition C.

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교과서 질문

Consider the three electronic transitions in a hydrogen atom shown here, labeled A, B, and C. (a) Three electromagnetic waves, all drawn on the same scale, are also shown. Each corresponds to one of the transitions. Which electromagnetic wave (i), (ii), or (iii), is associated with electronic transition C?

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