*How Are Mass, Space Size, And Period of Time Structured, In Diatomic Molecules? Part II: Quantum Numbers of Electronic States*

Scientific Paper | |
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Title | How Are Mass, Space Size, And Period of Time Structured, In Diatomic Molecules? Part II: Quantum Numbers of Electronic States |

Read in full | Link to paper |

Author(s) | Tolga Yarman |

Keywords | {{{keywords}}} |

Published | 2004 |

Journal | None |

**Read the full paper** here

## Abstract

In our previous article we arrived at an *essential relationship* for the *classical vibration period* of a diatomic molecule. It is that the *cast* of this relationship, [period of time] ~ [mass] x [size of space of concern]^{2}, is essentially imposed by the *special theory of relativity;* this is how we originally arrived to it, although we have derived it, *quantum mechanically,* in Part I of this work. The above relationship holds generally. It *essentially* yields T~r^{2}, for the *classical vibrational period,* versus the *square of the internuclear distance* at different *electronic states of a given molecule,* which happens to be an *approximate relationship* known since 1925, but not disclosed so far.

In this article, we determine the *quantum mechanical mulitplier* appearing next to the Planck Constant in the epression in question to be r/r_{0}, for *electronic states configured similarly,* r being the *internuclear distance at the given electronic state,* and r_{0} the *internuclear distance at the ground state.*

Note that, not much is reported about the quantum numbers of complex systems, in the literature.