Narrow Results

This paper is devoted to the computer simulation of OH band at 306.357 nm (transition A²Σ, ν = 0 → X²Π, ν′ = 0) for both a given rotational temperature and an optical apparatus function profile, when existing data at a reference temperature are known. This kind of numerical simulation may be of great interest for spectroscopic temperature determinations in flames and hot gases containing the OH radical, by direct comparison of experimental data with a simulated spectrum.

Utilizing the icosahedral symmetry of the C₆₀ molecule by amalgamating two methods, we solve the vibrational eigenfrequency problem for carbon-60 to obtain exact algebraic expressions for the characteristic polynomials of the vibmtion. The inter-atomic interaction consists of four force constants, two for bond-stretching and two for angle-oscillation.