Fractal dimension
Term · Chemistry · MLC-T-CHM-004624
A statistical quantity that indicates how completely a fractal object fills the space it occupies, reflecting its complexity and irregularity. For a fractal agglomerate, it describes the relationship between its mass or size and its radius of gyration. This dimension is often non-integer and provides insight into the growth mechanism of aggregates.
| Identifier | MLC-T-CHM-004624 |
|---|---|
| Field | Chemistry |
| Subject | Polymer |
| Synonyms | Hausdorff dimension; mass fractal dimension |
| References | PAC, 2007, 79, 1801. 'Definitions of terms relating to the structure and processing of sols, gels, networks, and inorganic-organic hybrid materials (IUPAC Recommendations 2007)' on page 1811 (https://doi.org/10.1351/pac200779101801) |
| See also | Particulate sol |
Record as JSON
{
"id": "MLC-T-CHM-004624",
"term": "Fractal dimension",
"field": "Chemistry",
"definition": "A statistical quantity that indicates how completely a fractal object fills the space it occupies, reflecting its complexity and irregularity. For a fractal agglomerate, it describes the relationship between its mass or size and its radius of gyration. This dimension is often non-integer and provides insight into the growth mechanism of aggregates.",
"synonyms": [
"Hausdorff dimension",
"mass fractal dimension"
],
"subject": "Polymer",
"see_also": [
"particulate sol"
],
"references": [
"PAC, 2007, 79, 1801. 'Definitions of terms relating to the structure and processing of sols, gels, networks, and inorganic-organic hybrid materials (IUPAC Recommendations 2007)' on page 1811 (https://doi.org/10.1351/pac200779101801)"
],
"url": "https://mlchart.com/terminology/chemistry/fractal-dimension/"
}
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