TY - JOUR
T1 - Computation of differential and integral operators using M-polynomials of gold crystal
AU - Khan, Abdul Rauf
AU - Bhatti, Saad Amin
AU - Imran, Muhammad
AU - Tawfiq, Ferdous M.O.
AU - Cancan, Murat
AU - Hussain, Shahid
N1 - Publisher Copyright:
© 2024 The Authors
PY - 2024/7/30
Y1 - 2024/7/30
N2 - Gold is generally considered a noble metal since it is inherently inert in its bulk state. However, gold demonstrates reactivity when it is in its ionic state. The inherent inertness of bulk gold has resulted in its widespread recognition as a vital raw material in various biomedical processes. The applications of these technologies include drug delivery microchips, dental prostheses, reconstructive surgery, culinary additives, and cardiovascular stents. Gold can also exist in molecules or ions, particularly gold ions, which facilitates the production of gold nanomaterials. In this paper, we have computed differential and integral operators by using the M-Polynomial of gold crystals and by utilizing this polynomial, we have also computed eleven topological indices like 1st Zagreb, 2nd Zagreb, Hyper, Sigma, Second Modified, General Randic, General Reciprocal Randic, 3rd Redefined Zagreb, Symmetric Division Degree, Harmonic, Inverse Sum indices for the structure of Gold crystal.
AB - Gold is generally considered a noble metal since it is inherently inert in its bulk state. However, gold demonstrates reactivity when it is in its ionic state. The inherent inertness of bulk gold has resulted in its widespread recognition as a vital raw material in various biomedical processes. The applications of these technologies include drug delivery microchips, dental prostheses, reconstructive surgery, culinary additives, and cardiovascular stents. Gold can also exist in molecules or ions, particularly gold ions, which facilitates the production of gold nanomaterials. In this paper, we have computed differential and integral operators by using the M-Polynomial of gold crystals and by utilizing this polynomial, we have also computed eleven topological indices like 1st Zagreb, 2nd Zagreb, Hyper, Sigma, Second Modified, General Randic, General Reciprocal Randic, 3rd Redefined Zagreb, Symmetric Division Degree, Harmonic, Inverse Sum indices for the structure of Gold crystal.
KW - Computation
KW - Differential operators
KW - Gold Crystal
KW - Integral operators
KW - M-Polynomial
KW - Molecular structure
KW - Topological indices
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U2 - 10.1016/j.heliyon.2024.e34419
DO - 10.1016/j.heliyon.2024.e34419
M3 - Article
AN - SCOPUS:85199141267
SN - 2405-8440
VL - 10
JO - Heliyon
JF - Heliyon
IS - 14
M1 - e34419
ER -