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In graph Frontier

Crystal lattice

A crystal lattice is the repeating 3-D grid of atoms in a solid that sets its mechanical and electronic behaviour.

At a glance

Type
matter
Mental models 0
Role in the graph
Cross-disciplinary bridge
reaches 3 discipline lenses

Key signals

Cross-disciplinary reach
Disciplines
3
  • Condensed Matter Physics
  • Physics
  • Inorganic Chemistry
Evidence & development

Dependencies

What this concept builds on and what it makes possible — derived from the atlas’s dependency, causal and structural relations, not from every related edge.

Foundations · builds on

Ionic bondenablesCrystal latticeEstablished

Open Ionic bond →

Ionic bond enables Crystal lattice.

Enables · leads to

Crystal latticeenablesBand theoryEstablished

Open Band theory →

Crystal lattice enables Band theory of solids.

Material strengthdepends onCrystal latticeEstablished

Open Material strength →

Strength comes from atomic structure.

Mechanism: How atoms bond and how defects move through the lattice set how much load a material bears before it yields.

Phononemerges fromCrystal latticeEstablished

Open Phonon →

A lattice vibration quantum.

Mechanism: A phonon is a quantized wave of the crystal lattice's atoms vibrating together.

Superconductivityemerges fromCrystal latticeEstablished

Open Superconductivity →

Superconductivity arises in cold solids.

Mechanism: Below a critical temperature, electrons pair up and glide through the lattice with no resistance.

System context

Crystal latticeis part ofState of matterEstablished

Open State of matter →

A lattice is the order of a solid.

Mechanism: In a crystalline solid atoms lock into a repeating 3-D grid that sets its strength and conductivity.

Structural role & consequence

Interpreted from the current atlas graph — what the connections mean, not just how many there are.

  • Directly enables 1 concept; following enables/causes relations, 1 concept is downstream across 2 disciplines.

    structural · Follows only enables/causes dependency edges — not general relatedness.

  • Currently dark in the atlas: no key date stored · 7 of 7 of its relations lack claim-level evidence.

    atlas representation · Describes the current Thinking OS representation, not the state of the world.

  • Builds on 1 foundation (requires / depends-on / derived-from / emerges-from).

    structural · Structural graph analysis — not a claim of importance, causation or history.

  • Structural neighbourhood: 6 → 23 → 95 concepts reachable within 3 hops.

    structural · Structural reach — being reachable is not the same as being understood.

17%

cross-field
5 within-field, 1 cross-field

0 of 7 relations carry evidence · concept has a verified source

Strengths & constraints

Constraints

  • Evidence coverage currently thin in the atlas — few of its relationships carry claim-level evidence. atlas representation
  • No dated history stored — the atlas records no key date for this concept. atlas representation

Conditions

  • Its dependency reading rests on 1 foundation relation. structural
  • Read structurally — most of its relationships carry no external evidence yet, so claims here are graph-derived. structural

Dependency radial

What this concept builds on (left) and what it makes possible (right) — derived from dependency and causal relations.

Ionic bondBand theoryMaterial strengthPhononSuperconductivityCrystal lattice◀ builds onenables ▶

What builds on this

1 concept build on this directly, 1 in total, across 2 disciplines.

EngineeringMaterials Engineering

Structural downstream reach along dependency edges — not a claim of historical necessity.

Seen through each discipline

How this concept sits in each of its fields — derived from its real connections in the graph, not asserted.

Concepts that look related but are not yet connected here — candidates for a connection to reason about, not established links.

This idea also appears in…

The same structure shows up in other disciplines. These are real recurrences drawn from the graph — a starting point for asking “what carries over, and what changes?”

Concepts

The scientific picture
  • Connects 6 other ideas across 3 disciplines.
  • A cross-disciplinary bridge — its connections reach into 3 other fields.
  • Most of its connections are of the “Cause & effect” kind.

Derived from the graph’s real structure — observations, not a score.

Sources