Prediction of properties of boron $$\alpha$$-icosahedral nanosheet by bond-addictive $${\mathbb {M}}$$-polynomial

Abstract

Nanosheets with boron elements have excellent characteristics which makes the boron polymorphs unique and super hard. A boron $$\alpha$$ α -icosahedral nanosheet in crystalline form has superconductivity and thermal electronic properties. In theoretical chemistry and QSPR/QSAR study, a topological descriptor is an important analytical tool. It helps to analyse the structure and its properties and also correlates the with numerical expressions. The valence-based M-polynomial provides quantitative measures of molecular properties based on their geometric, electrostatic, and quantum chemical characteristics. In this article, the QSPR/QSAR analysis is performed for this nanosheet and the analytical expressions are validated with original synthesized data, and received excellent correlation values of 0.9835 and 0.9932. The mathematical expression of the structure is analysed and the indices are compared graphically and numerically.