THE ARCHITECTURE OF DIATOMIC MOLECULES PART II: STUDY OF HYDROGEN MOLECULE’S ELECTRONIC VIBRATIONAL DATA

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THE ARCHITECTURE OF DIATOMIC MOLECULES

 

PART II: STUDY OF HYDROGEN MOLECULE’S ELECTRONIC VIBRATIONAL DATA

 

Tolga Yarman

 

Işık University

Maslak, Istanbul

 

March 2003

 

ABSTRACT

 

In Part I of this work, we established that, the vibration period T of a diatomic molecule, can be expressed as T =[] , where  is the reduced mass of the nuclei, me the mass of the electron, r the internuclear distance of the molecule at the given electronic state, h the Planck Constant, and g a dimensionless and relativistically invariant coefficient, which appears to be a characteristic of the electronic configuration of the molecule.

 

Herein, we will validate this relationship, chiefly on the basis of vibrational data of H2 molecule’s electronic states. This, basically yields, the elucidation of the complete set of H2 spectroscopic data. The composite quantum number n1n2 along our finding, is briefly speaking nothing but the ratio of the internuclear distance r at the given electronic state, to the internuclear distance r0 at the ground state, provided that these two states are configured similarly.

 

This makes that for electronic states configured alike, for which g is expected to remain the same, T2 versus r3, should exhibit a linear behaviour.

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THE ARCHITECTURE OF DIATOMIC MOLECULES PART I: THEORY

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THE ARCHITECTURE OF DIATOMIC MOLECULES

PART I: THEORY

 

Tolga Yarman

 

Işık University

Maslak, Istanbul

 

March 2003

 

ABSTRACT

 

Consider a “real” (i.e. not artificially gedanken) quantum mechanical clock in the rest frame of reference. This can be a molecular, or an atomic, or a nuclear entity, of “characteristic mass” M0, doing a regular “clock labour”, in a space of “size” R0, throughout a “unit period time” T0. In our previous work, we established that, in a “real” wave-like description, if the characteristic mass” M0 of the object is multiplied by the arbitrary number , then the size of space R0, in which this object is installed, shrinks as much, and the total energy E0 of the object, is increased as much.

 

This occurrence (were the object in consideration indeed, “real”), yields at once the “quantum mechanical invariance” of the quantity , through either relativistic or non-relativistic quantum mechanical description, whichever is appropriate for the case in hand; interestingly, the quantity  happens to be Lorentz invariant, and strapped to h2. Note that primarily, what we do is not a “dimension analysis”. Anyhow, the invariance of  in regards to an overall mass change, would not work, if the wave-like object in hand is not “real”, though of course, there still would be no problem in regards to a dimension analysis.

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A NOVEL APPROACH TO THE BOUND MUON DECAY RATE RETARDATION

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A NOVEL APPROACH TO THE BOUND MUON DECAY RATE RETARDATION

Tolga Yarman

Isik University, Istanbul, Turkey

 

ABSTRACT

 

Via quantum mechanics, we show that, just like the gravitational field, the electric field too slows down the internal mechanism of a clock, which enters into interaction with the field. This approach perfectly explains the retardation of the decay of muon bound to a nucleus.

 

For a “real” atomistic or molecular wave-like object, i.e. a wave-like object existing in nature, we have shown elsewhere[i] the following theorem, first, on the basis of the Schrodinger Equation, as complex as this may be, then on the basis of the Dirac Equation, whichever may be appropriate, in relation to the frequency of the internal dynamics of the object in hand. A “real” atomistic and molecular wave-like object, involves a potential energy made of only “Coulomb Potential energies”. Thence even a relativistic Dirac description embodying potential energies made of potential energies other than Coulomb Potentials energies, may not represent a “real” description.

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