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Magic angle

The magic angle is a precisely defined angle, the value of which is approximately 54.7356°. The magic angle is a root of a second-order Legendre polynomial, P2(cos θ) = 0, and so any interaction which depends on this second-order Legendre polynomial vanishes at the magic angle. This property makes the magic angle of particular importance in magic-angle…

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Explore the main themes, entities and connections around Magic angle. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Application to medical imaging: The magic angle artifact

3 related topics

Mathematical definition

5 related topics

Magic angle and nuclear magnetic resonance

5 related topics

Reinforced rubber

1 related topics

Topics to explore

A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Mathematical definition

Magic angle and nuclear magnetic resonance

Application to medical imaging: The magic angle artifact

Reinforced rubber

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.

Magic angle

Nodes27
Edges26
Triples11
Avg. degree1.93
Density0.074074
Components1

How this topic connects Entity context

Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.

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Magic angle

Top relations

related to Application to medical imaging: The magic angle artifact · 6
Magic angle → Example, MRI, T1, TE, The, This
is a · 2
Magic angle → precisely defined angle, root of a second-order Legendre polynomial
related to Reinforced rubber · 2
Magic angle → The, To
related to Mathematical definition · 1
Magic angle → The

Important terminology Word statistics

Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

angle magic spinning interaction magnetic artifact 54 resonance θm dipolar field magic-angle nmr spectroscopy imaging collagen tendons axis interactions csa

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Magic angleis aprecisely defined angle0.90text
Magic angleis aroot of a second-order Legendre polynomial0.90text
Magic anglerelated to Application to medical imaging: The magic angle artifactThe0.60section
Magic anglerelated to Application to medical imaging: The magic angle artifactMRI0.60section
Magic anglerelated to Application to medical imaging: The magic angle artifactTE0.60section
Magic anglerelated to Application to medical imaging: The magic angle artifactT10.60section
Magic anglerelated to Application to medical imaging: The magic angle artifactThis0.60section
Magic anglerelated to Application to medical imaging: The magic angle artifactExample0.60section
Magic anglerelated to Mathematical definitionThe0.60section
Magic anglerelated to Reinforced rubberTo0.60section
Magic anglerelated to Reinforced rubberThe0.60section

Related concept clusters Concept neighborhoods

Clusters of nearby vocabulary surrounding the topic. Scan them for adjacent concepts and language you may have missed.

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridge nodes connect otherwise separate parts of the map. Expand a row to inspect the topic groups on each side.

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

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