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In graph Frontier
Computational ChemistryEstablished

Density functional theory

A quantum method that determines electronic structure from the electron density rather than the wavefunction.

Density functional theoryElectronic structureBasis setBorn–Oppenheimer approximationMoleculeQM/MM methodHartree–Fock methodSolvation modelPotential energy surface

At a glance

Type
matter
Disciplines 1
Computational Chemistry
Mental models 0
—
Role in the graph
Connector

Key signals

Cross-disciplinary reach
Disciplines
1
  • Computational 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

Density functional theoryrequiresBasis setEstablished

Open Basis set →

Density functional theory requires Basis set.

Density functional theorydepends onBorn–Oppenheimer approximationEstablished

Open Born–Oppenheimer approximation →

Density functional theory depends on Born–Oppenheimer approximation.

System context

QM/MM methodis part ofDensity functional theoryEstablished

Open QM/MM method →

QM/MM method is a part of Density functional theory.

Structural role & consequence

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

  • 20% of its relationships cross field boundaries, reaching 1 other discipline — unusual in a discipline where most concepts stay within their field.

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

  • Currently dark in the atlas: no key date stored · 5 of 5 of its relations lack claim-level evidence.

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

  • Builds on 2 foundations (requires / depends-on / derived-from / emerges-from).

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

  • Structural neighbourhood: 5 → 18 → 41 concepts reachable within 3 hops.

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

20%

cross-field
4 within-field, 1 cross-field

0 of 5 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 2 foundation relations. 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.

Basis setBorn–Oppenheimer approx…Density functional th…◀ builds onenables ▶

Seen through each discipline

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

Computational Chemistry

Through this lens it connects to Electronic structure, Basis set, Born–Oppenheimer approximation and QM/MM method.

Density functional theory through the Computational Chemistry lens →

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

  • MoleculeChemistry

    crosses a discipline boundary

The scientific picture
  • Connects 5 other ideas across 1 discipline.
  • Most of its connections are of the “Dependency” kind.

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

Sources