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Computation of differential and integral operators using M -polynomials of gold crystal
Abdul Rauf Khan1, Saad Amin Bhatti1, Muhammad Imran2
1Department of Mathematics, Faculty of Sciences, Ghazi University, Dera Ghazi Khan, 32200, Pakistan.
Heliyon
|August 16, 2024
Summary
This study explores the reactivity of gold ions and computes eleven topological indices for gold crystals using a novel polynomial method. These findings contribute to understanding gold
Area of Science:
- Materials Science
- Computational Chemistry
- Nanotechnology
Background:
- Bulk gold is recognized for its inertness, making it valuable in biomedical applications like drug delivery and cardiovascular stents.
- Gold's reactivity emerges in its ionic state, enabling the synthesis of gold nanomaterials.
- Understanding gold's properties is crucial for advancing its use in various scientific and medical fields.
Purpose of the Study:
- To compute differential and integral operators for gold crystals.
- To calculate eleven distinct topological indices for the gold crystal structure.
- To utilize the novel -Polynomial for these computations.
Main Methods:
- Development and application of the -Polynomial for gold crystals.
- Computation of differential and integral operators based on this polynomial.
- Calculation of eleven specific topological indices, including Zagreb and Randic types.
Main Results:
- Successful computation of differential and integral operators for gold crystals.
- Determination of eleven topological indices for the gold crystal structure.
- Demonstration of the utility of the -Polynomial in materials characterization.
Conclusions:
- The study provides a novel computational approach to characterizing gold crystal structures.
- The computed topological indices offer new insights into the properties of gold at the atomic level.
- This research lays the groundwork for further exploration of gold's potential in materials science and nanotechnology.
Keywords:
ComputationDifferential operatorsGold CrystalIntegral operatorsMolecular structureTopological indicesMore Related Videos
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