packing fraction: meaning, definition, pronunciation and examples

Very low
UK/ˈpæk.ɪŋ ˌfræk.ʃən/US/ˈpæk.ɪŋ ˌfræk.ʃən/

Technical/scientific

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Quick answer

What does “packing fraction” mean?

A dimensionless quantity representing the fraction of volume or space occupied by particles within a structure, most commonly in nuclear or materials science.

Audio

Pronunciation

Definition

Meaning and Definition

A dimensionless quantity representing the fraction of volume or space occupied by particles within a structure, most commonly in nuclear or materials science.

1. In nuclear physics: the difference between the actual isotopic mass and the mass number, divided by the mass number, indicating nuclear binding energy stability. 2. In materials/geometric packing: the proportion of space filled by identical objects (e.g., spheres) in a given arrangement.

Dialectal Variation

British vs American Usage

Differences

No significant lexical differences; the term is identical in both varieties.

Connotations

Purely technical, with no regional connotative variation.

Frequency

Extremely rare outside specialized physics, chemistry, or engineering texts in both regions.

Grammar

How to Use “packing fraction” in a Sentence

The packing fraction of [material/nucleus] is [value].A [high/low] packing fraction indicates [property].Calculate/determine the packing fraction for...

Vocabulary

Collocations

strong
atomic packing fractionnuclear packing fractionsphere packing fractioncalculate the packing fractionmaximum packing fraction
medium
high packing fractionlow packing fractionpacking fraction ofpacking fraction value
weak
densityefficiencyratiovolumestructure

Examples

Examples of “packing fraction” in a Sentence

verb

British English

  • Not applicable as a verb.

American English

  • Not applicable as a verb.

adverb

British English

  • Not applicable as an adverb.

American English

  • Not applicable as an adverb.

adjective

British English

  • Not applicable as an adjective.

American English

  • Not applicable as an adjective.

Usage

Meaning in Context

Business

Not used.

Academic

Exclusively used in physics, chemistry, materials science, and engineering research papers and textbooks.

Everyday

Never used.

Technical

The primary domain. Used to describe nuclear stability or the efficiency of geometric packing in materials/crystallography.

Vocabulary

Synonyms of “packing fraction”

Strong

atomic packing factor (APF)packing density

Neutral

packing efficiencyvolume fractionfilling factor

Weak

density measureoccupancy ratio

Vocabulary

Antonyms of “packing fraction”

void fractionporosity

Watch out

Common Mistakes When Using “packing fraction”

  • Using it in non-technical contexts.
  • Confusing it with simple 'density' (which is mass/volume, not a fraction of space occupied).
  • Misspelling as 'package fraction'.

FAQ

Frequently Asked Questions

No. Density is mass per unit volume. Packing fraction is a dimensionless ratio of the volume occupied by particles to the total available volume.

Typically, no. It is a fraction of space filled, so it ranges from 0 to 1 (or 0% to 100%).

In nuclear physics, a negative packing fraction indicates the isotope's actual mass is less than its mass number, signifying high stability due to mass being converted to binding energy.

Almost exclusively in advanced textbooks, research papers, or university courses in physics, chemistry, materials engineering, or related STEM fields.

A dimensionless quantity representing the fraction of volume or space occupied by particles within a structure, most commonly in nuclear or materials science.

Packing fraction is usually technical/scientific in register.

Packing fraction: in British English it is pronounced /ˈpæk.ɪŋ ˌfræk.ʃən/, and in American English it is pronounced /ˈpæk.ɪŋ ˌfræk.ʃən/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • None. The term is exclusively technical.

Learning

Memory Aids

Mnemonic

Imagine tightly PACKing oranges in a crate; the FRACTION of the crate's volume filled by oranges is the 'packing fraction'.

Conceptual Metaphor

SPACE IS A CONTAINER (The container's capacity is measured by how much of it is filled by objects).

Practice

Quiz

Fill in the gap
In a hexagonal close-packed crystal, the atomic is about 0.74.
Multiple Choice

In which field is the term 'packing fraction' LEAST likely to be used?