How Are Mass, Space Size, And Period of Time Structured, In Diatomic Molecules? Part I: Frame of The Approach
| Scientific Paper | |
|---|---|
| Title | How Are Mass, Space Size, And Period of Time Structured, In Diatomic Molecules? Part I: Frame of The Approach |
| Read in full | Link to paper |
| Author(s) | Tolga Yarman |
| Keywords | {{{keywords}}} |
| Published | 2004 |
| Journal | None |
Read the full paper here
Abstract
We consider the quantum mechanical description of a diatomic molecule. We apply to it, the Born & Oppenheimer approximation, together with the cast [total energy x mass x size**2 ~h2] (we established previously), written for the electronic description (with fixed nuclei); here, "mass" is the electron mass. Our approach yields an essential relationship for the classical vibration period, in terms of the [square root of the reduced mass of the nuclei] x [the square of the internuclear distance], at the given total electronic energy. The quantum multiplier that comes into play, next to the Planck Constant, in this latter expression, is determined in the subsequent part. The approach yields a whole new systematization regarding all diatomic molecules.
We draw the classical vibration periodversus [the square root of the reduced mass of the nuclei] x [the square of the internuclear distance], for different chemical families, yielding indeed a smooth behavior. The plots are further bettered, along the determination of the quantum multiplier of concern, throughout the subsequent articles.
