sublattice: meaning, definition, pronunciation and examples

Very Low
UK/ˈsʌbˌlæt.ɪs/US/ˈsʌbˌlæt̬.ɪs/

Technical/Academic

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Quick answer

What does “sublattice” mean?

A subset of a lattice that is itself a lattice under the same operations.

Audio

Pronunciation

Definition

Meaning and Definition

A subset of a lattice that is itself a lattice under the same operations.

In mathematics, particularly order theory and abstract algebra, a substructure of a lattice that preserves the lattice properties. In materials science, a smaller or secondary lattice structure within a crystal.

Dialectal Variation

British vs American Usage

Differences

No significant differences in meaning or usage. Spelling is consistent.

Connotations

None beyond the technical definition.

Frequency

Equally rare in both varieties, confined to technical literature.

Grammar

How to Use “sublattice” in a Sentence

[lattice] contains a sublattice [of X][set S] forms a sublattice [of L]the sublattice [generated by]

Vocabulary

Collocations

strong
complete sublatticedistributive sublatticemodular sublatticeform a sublattice
medium
sublattice of a latticeembedded sublatticeunderlying sublattice
weak
important sublatticeparticular sublatticecrystal sublattice

Examples

Examples of “sublattice” in a Sentence

adjective

British English

  • The sublattice properties were crucial for the proof.

American English

  • The sublattice structure was analyzed in detail.

Usage

Meaning in Context

Business

Not used.

Academic

Used in advanced mathematics, computer science (lattice theory), and materials science papers.

Everyday

Never used.

Technical

The primary domain. Refers to a well-defined structural concept in lattice theory and crystallography.

Vocabulary

Synonyms of “sublattice”

Neutral

substructuresubalgebra (in specific contexts)

Weak

subset (in a very general sense)

Vocabulary

Antonyms of “sublattice”

superlatticeentire lattice

Watch out

Common Mistakes When Using “sublattice”

  • Using it as a verb (e.g., 'to sublattice'). Confusing it with 'sublimate'. Using it in non-technical writing.

FAQ

Frequently Asked Questions

No, it is a highly specialized technical term used almost exclusively in mathematics and materials science.

No, it is solely a noun (and occasionally used attributively as an adjective). There is no standard verb form.

A sublattice is a specific type of subset that is also closed under the lattice operations (meet and join), preserving the lattice structure.

No. It has no application in general, business, or casual conversation. Its meaning is strictly technical.

A subset of a lattice that is itself a lattice under the same operations.

Sublattice is usually technical/academic in register.

Sublattice: in British English it is pronounced /ˈsʌbˌlæt.ɪs/, and in American English it is pronounced /ˈsʌbˌlæt̬.ɪs/. Tap the audio buttons above to hear it.

Learning

Memory Aids

Mnemonic

Think of a 'submarine' as a smaller vessel within the larger sea. A 'sublattice' is a smaller lattice structure contained within a larger lattice.

Conceptual Metaphor

A team within a larger organisation that still follows the same rules. A neighbourhood that maintains the city's laws.

Practice

Quiz

Fill in the gap
A set of elements that is closed under meet and join operations forms a of the original lattice.
Multiple Choice

In which field is the term 'sublattice' MOST commonly used?