STATISTICAL THEORY OF TYPE I ANTIFERROMAGNETISM AND AB ALLOY SUPERLATTICE ON A FACE CENTERED CUBIC LATTICE——A SERIES EXPANSION METHOD

1981 ◽  
Vol 30 (6) ◽  
pp. 747
Author(s):  
LIU ZHI-MING ◽  
ZHANG FU-CHUN ◽  
XU WEN-LAN ◽  
LI YIN-YUAN
2020 ◽  
Vol 44 (1) ◽  
pp. 32-38
Author(s):  
Hani Shaker ◽  
Muhammad Imran ◽  
Wasim Sajjad

Abstract Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems. A numerical quantity is named as topological index which explains the topological characteristics of a chemical graph. Recently face centered cubic lattice FCC(n) attracted large attention due to its prominent and distinguished properties. Mujahed and Nagy (2016, 2018) calculated the precise expression for Wiener index and hyper-Wiener index on rows of unit cells of FCC(n). In this paper, we present the ECI (eccentric-connectivity index), TCI (total-eccentricity index), CEI (connective eccentric index), and first eccentric Zagreb index of face centered cubic lattice.


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