Calculation of the relationship between the number of benzene rings and the number of carbon-hydrogen atoms in polycyclic aromatic hydrocarbons (non-heterocyclic)

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Introduction: As a high school student, I was already keen on solving problems related to sequences and their general formulas. In my sophomore year, I derived a general formula for calculating the number of isomers of alkanes. Even 20 years after graduating, I still enjoy these activities. Due to my work, I came into contact with coal tar, and I realized that there must be some mathematical relationship between the number of carbon and hydrogen atoms in polycyclic aromatic hydrocarbons and the number of benzene rings. On December 16, 2006, while on a business trip to Dalian, I had an inspiration at 10 p.m. at the Furama Hotel; I managed to find the corresponding formula. I verified it repeatedly for molecules with up to five benzene rings, and it turned out to be correct. However, since I didn’t know the chemical names for aromatics with four or five benzene rings, I put this matter aside for the time being. Today, I happened to find those names through a search on Baidu, and excitedly shared them online as a contribution to my colleagues. It’s just a minor skill, nothing worth mentioning really. Main text: Calculation of the relationship between the number of benzene rings and the number of carbon and hydrogen atoms in polycyclic aromatic hydrocarbons (non-heterocyclic). m: number of benzene rings. General formula: C6m-2(m-1)H6m-4(m-1). Example: One benzene ring – Benzene (molecular formula C6H6): 6 carbon atoms, 6 hydrogen atoms ； Diphenyl ring: Naphthalene (molecular formula C10H8): 10 carbon atoms, 8 hydrogen atoms ； Triphenyl ring: Anthracene, phenanthrene (molecular formula C14H10): 14 carbon atoms and 10 hydrogen atoms ； Tetraphenyl ring: Benzoanthracene (molecular formula C18H12): 18 carbon atoms, 12 hydrogen atoms ； Pentacyclophenane: Dibenzanthracene (molecular formula C22H14): 22 carbon atoms, 14 hydrogen atoms ； This post was last edited by ygx2000 on 2008-3-16 10:37.]