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Research draft

magic number

vr.tr.magic-number · XCT.QTY

Let an agent explain magic numbers in nuclear physics and the shell model, identify magic and doubly magic nuclei, describe research on new magic numbers, and separate the computing and other senses.

Thing Registry Cross-cutting context

Research draft, second pass

A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.

written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify

Researched by: Claude

Purpose and description

Let an agent explain magic numbers in nuclear physics and the shell model, identify magic and doubly magic nuclei, describe research on new magic numbers, and separate the computing and other senses.

In nuclear physics, one of the numbers of protons or neutrons, 2, 8, 20, 28, 50, 82 and 126, at which atomic nuclei are especially stable because nucleon shells are completely filled, explained by the nuclear shell model, with doubly magic nuclei such as helium-4, oxygen-16, calcium-40 and lead-208 being particularly stable; the term is also used in computing for constants embedded in code or file signatures and in chemistry for cluster sizes, senses that are noted here for disambiguation.

What it is for: Nucleon numbers giving especially stable nuclei.

It can be explain the nuclear shell model; identify magic nuclei; describe research; separate other senses.

Distinguishing features

Closed shells

Enhanced stability

Shell model explanation

Doubly magic nuclei

What it looks like

Not physical; a set of integers.

How it is recognised

Proton or neutron counts with closed shells

2, 8, 20, 28, 50, 82, 126

Magic numbers in code are embedded constants; magic constants in chemistry are cluster sizes

Related models

is a kind of - category

positive integer

is related to - nuclear structure and stability

nuclear fission

is related to - another named integer class

happy number

is related to - magic constants in code as a maintenance issue

software bug

In practice

Families and kinds

proton magic numbers

neutron magic numbers

doubly magic nuclei

new and vanishing magic numbers in exotic nuclei

magic numbers in computing and chemistry as other senses

Standards and regulation

Nuclear physics conventions

Software coding standards discouraging magic constants

No regulation

Failure modes and hazards

Confusing senses

Treating magic numbers as universal for exotic nuclei

Oversimplifying the shell model

Where this came from

wikidata · CC0 1.0

Also registered as vr.tr.magic-number

Drafted structure

Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.

Understand What magic numbers are.

Physics.

Shell

Shell model.

Shell

Shell.

  1. How does the nuclear shell model explain magic numbers, and why do these particular numbers arise? definition
  2. Is the nuclear physics, computing or chemistry sense meant? boundary

Nuclei

Magic nuclei.

Nuclei

Nuclei.

  1. Which nuclei are magic or doubly magic, and how does this show in binding energies and abundances? provenance
  2. Which entry fits a specific nucleus? action
Research Research frontiers.

Science.

Exotic

Exotic nuclei.

Exotic

Exotic.

  1. How do magic numbers change in exotic nuclei far from stability, and what have experiments found? provenance
  2. Which findings are uncertain? boundary

Superheavy

Island of stability.

Superheavy

Superheavy.

  1. How do predicted magic numbers relate to the hypothesised island of stability for superheavy elements? provenance
  2. Which entry fits superheavy elements? action
Other Other senses.

Disambiguation.

Computing

Magic numbers in code.

Computing

Computing.

  1. What are magic numbers and file signatures in computing, and why are magic constants discouraged in code? definition
  2. Which entry fits software design? action

Chemistry

Magic numbers in clusters.

Chemistry

Chemistry.

  1. What are magic numbers in atomic clusters and other fields? definition
  2. Which entry fits cluster chemistry? action
Learn History and teaching.

Education.

History

History.

History

History.

  1. How did Goeppert Mayer, Jensen and others discover and explain magic numbers? provenance
  2. Which references are standard? provenance

Teach

Teaching.

Teach

Teaching.

  1. How can the shell model and magic numbers be taught? action
  2. Which misconceptions arise? provenance

What the second pass must settle

  • Should the computing sense be a separate entry?
  • How should nuclear data be linked?
  • How should research on exotic nuclei be linked?