Yazar "Yarman, Nuh Tolga" seçeneğine göre listele

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    Alpha head on collision with a fixed gold nucleus, taking into account the relativistic rest mass variation as implied by mass-energy equivalence
    (Polish Acad Sciences Inst Physics, 2014-02) Yarman, Nuh Tolga; Arık, Metin; Kholmetskii, Alexander; Altıntaş, Azmi Ali; Özaydın, Fatih
    We reformulate the Rutherford scattering of alpha particle for a head on collision, taking into account the rest mass variation of the particle, as implied by the energy conservation law. Our relativistic reformulation (which includes the energy conservation) constitutes a new example for the breakdown of the Lorentz invariance. Briefly speaking, even at rest or during the whole scattering process, the distance between the alpha particle and the gold nucleus is not invariant but depends on the frame of the observer attached to either object. According to our relativistic reformulation, we also provide a new set of Lorentz transformations.
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    Elucidation of the complete set of H-2 electronic states' vibrational data
    (Pergamon-Elsevier Science Ltd, 2004-11) Yarman, Nuh Tolga
    We have previously established that, the vibration period T of a diatomic molecule, can be expressed as T = [4pi(2)/(rootninjh)]rootgM(0)m(e)r(2), where M-0 is the reduced mass of the nuclei, M-e the mass of the electron, r the internuclear distance of the molecule at the given electronic state, It 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 validate this relationship, chiefly on the basis of vibrational data of H-2 molecule's electronic states, and achieve its calibration, vis-a-vis the quantum numbers that it is to involve. This, basically yields, the elucidation of the complete set of H-2 spectroscopic data. Thus, the composite quantum number n(1)n(2) along our finding is nothing but the ratio of the internuclear distance r at the given electronic state, to the internuclear distance r(0) at the ground state. This makes that for electronic states configured alike, for which g is expected to remain the same, T-2 versus r(3), should exhibit a linear behavior. Our approach can well be applied to other molecules.
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    An essential approach to the architecture of diatomic molecules. 1. Basic theory
    (2004) Yarman, Nuh Tolga
    We consider the quantum mechanical description of a diatomic molecule of "electronic mass" m0e, "internuclear distance" R0, and "total electronic energy" E0e. We apply to it the Born-Oppenheimer approximation, together with the cast E 0em0eR02 ? h2 (we established previously), written for the electronic description (with fixed nuclei). Our approach yields an essential relationship for T0, the classical vibration period, at the total electronic energy E0e, i.e., T0 = [4?2/(?n1n2h)] ?gM0meR02; M0 is the reduced mass of the nuclei; me is the mass of the electron; g is a dimensionless and relativistically invariant coefficient, roughly around unity; this is a quantity associated with just the electronic structure in consideration; thus, it remains practically the same for bonds bearing similar electronic configurations; n1 and n2 are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule in hand; because of quantum defects, they are not integer numbers. The above relationship holds generally, although the quantum numbers n1 and n2 need to be refined. The related task is undertaken in our next article, yielding a whole new systematization regarding all diatomic molecules.
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    An essential approach to the architecture of diatomic molecules. 2. How size, vibrational period of time, and mass are interrelated?
    (Nauka/Interperiodica, 2004) Yarman, Nuh Tolga
    In our previous article, we arrived at an essential relationship for T the classical vibrational period of a given diatomic molecule, at the total electronic energy E-, i.e., T = [4pi(2)/(rootn(1)n(2)h)] rootgM(0)m(e) R-2, where M-0 to is the reduced mass of the nuclei; m(3) is the mass of the electron; R is the internuclear distance: g is a dimensionless and relativistically invariant coefficient, roughly around unity; and n(1) and n(2) are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule, which, because of quantum defects. are not integer numbers. The above relationship holds generally. It essentially yields T similar to R 2 for the classical vibrational period versus the square of the internuclear distance in different electronic states of a given molecule. which happens to be an approximate relationship known since 1925 but not understood until now. For similarly configured electronic states, we determine n(1)n(2) to be R/R-0, where R is the internuclear distance in the given electronic state and R-0 is the internuclear distance in the ground state. Furthermore. from the analysis of H-2 spectroscopic data, we found out that the ambiguous states of this molecule are configured like alkali hydrides and Li-2. This suggests that, quantum mechanically, on the basis of an equivalent H-2 excited state. we can describe well, for example, the ground state of Li-2. On the basis of this interesting finding, herein we propose to associate the quantum numbers n(1) and n2 With the bond electrons of the ground state of any diatomic molecule belonging to a given chemical family in reference to the ground state of a diatomic molecule still belonging to this family but bearing, say, the lowest classical vibrational period, since g, depending only on the electronic configuration. will stay nearly constant throughout. This allows us to draw up a complete systematization of diatomic molecules given that g (appearing to be dependent purely on the electronic structure of the molecule) stays constant for chemically alike molecules and n(1)n(2) can be identified to be R-0/R-00 for diatomic molecules whose bonds are electronically configured in the same way, R-00 then being the internuclear distance of the ground state of the molecule chosen as the reference molecule within the chemical fan-Lily under consideration. Our approach discloses the simple architecture of diatomic molecules, otherwise hidden behind a much too cumbersome quantum-mechanical description. This architecture, telling how the vibrational period of Lime. size. and mass are determined, is Lorentz-invariant and can be considered as the mechanism of the behavior of the quantities in question in interrelation with each other when the molecule is brought into uniform translational motion or transplanted into a gravitational field or, in fact, any field with which it can interact.
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    An essential approach to the architecture of diatomic molecules: 1.Basic theory
    (Optical Soc Amer, 2004-11) Yarman, Nuh Tolga
    We consider the quantum-mechanical description of a diatomic molecule of electronic mass m(0e), internuclear distance R-0, and total electronic energy E-0e. We apply to it the Born-Oppenheimer approximation, together with the relation E(0e)m(0e)R(0)(2) similar to h(2) (which we established previously), written for the electronic description (with fixed nuclei). Our approach yields an essential relationship for T-0,T- the classical vibration period, at the total electronic energy E-0e; i.e., T-0 = [4pi(2)/(rootn(1)n(2)h)] rootgM(0)m(e) R-0(2). Here, At,0 is the reduced mass of the nuclei; m(e) is the mass of the electron; g is a dimensionless and relativistically invariant coefficient. roughly around unity (this quantity is associated with the particular electronic structure under consideration; thus, it remains practically the same for bonds bearing similar electronic configurations); and n(1) and n(2) are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule in hand: because of quantum defects, they are not integer numbers. The above relationship holds generally, although the quantum numbers n(1) and n(2) need to be refined. This task is undertaken in our next article, yielding a whole new systematization regarding all diatomic molecules.
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    An essential approach to the architecture of diatomic molecules: 2. how are size, vibrational period of time, and mass interrelated?
    (Optical Soc Amer, 2004-11) Yarman, Nuh Tolga
    In our previous article, we arrived at an essential relationship for T the classical vibrational period of a given diatomic molecule, at the total electronic energy E-, i.e., T = [4pi(2)/(rootn(1)n(2)h)] rootgM(0)m(e) R-2, where M-0 to is the reduced mass of the nuclei; m(3) is the mass of the electron; R is the internuclear distance: g is a dimensionless and relativistically invariant coefficient, roughly around unity; and n(1) and n(2) are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule, which, because of quantum defects. are not integer numbers. The above relationship holds generally. It essentially yields T similar to R 2 for the classical vibrational period versus the square of the internuclear distance in different electronic states of a given molecule. which happens to be an approximate relationship known since 1925 but not understood until now. For similarly configured electronic states, we determine n(1)n(2) to be R/R-0, where R is the internuclear distance in the given electronic state and R-0 is the internuclear distance in the ground state. Furthermore. from the analysis of H-2 spectroscopic data, we found out that the ambiguous states of this molecule are configured like alkali hydrides and Li-2. This suggests that, quantum mechanically, on the basis of an equivalent H-2 excited state. we can describe well, for example, the ground state of Li-2. On the basis of this interesting finding, herein we propose to associate the quantum numbers n(1) and n2 With the bond electrons of the ground state of any diatomic molecule belonging to a given chemical family in reference to the ground state of a diatomic molecule still belonging to this family but bearing, say, the lowest classical vibrational period, since g, depending only on the electronic configuration. will stay nearly constant throughout. This allows us to draw up a complete systematization of diatomic molecules given that g (appearing to be dependent purely on the electronic structure of the molecule) stays constant for chemically alike molecules and n(1)n(2) can be identified to be R-0/R-00 for diatomic molecules whose bonds are electronically configured in the same way, R-00 then being the internuclear distance of the ground state of the molecule chosen as the reference molecule within the chemical fan-Lily under consideration. Our approach discloses the simple architecture of diatomic molecules, otherwise hidden behind a much too cumbersome quantum-mechanical description. This architecture, telling how the vibrational period of Lime. size. and mass are determined, is Lorentz-invariant and can be considered as the mechanism of the behavior of the quantities in question in interrelation with each other when the molecule is brought into uniform translational motion or transplanted into a gravitational field or, in fact, any field with which it can interact.
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    The general equation of motion via the special theory of relativity and quantum mechanics
    (2004) Yarman, Nuh Tolga
    Herein we present a whole new approach to the derivation of the Newton's Equation of Motion. This, with the implementation of a metric imposed by quantum mechanics, leads to the findings brought up within the frame of the general theory of relativity (such as the precession of the perihelion of the planets, and the deflection of light nearby a star). To the contrary of what had been generally achieved so far, our basis merely consists in supposing that the gravitational field, through the binding process, alters the "rest mass" of an object conveyed in it. In fact, the special theory of relativity already imposes such a change. Next to this fundamental theory, we use the classical Newtonian gravitational attraction, reigning between two static masses. We have previously shown however that the 1/r2 dependency of the gravitational force is also imposed by the special theory of relativity. Our metric is (just like the one used by the general theory of relativity) altered by the gravitational field (in fact, by any field the "measurement unit" in hand interacts with); yet in the present approach, this occurs via quantum mechanics. More specifically, the rest mass of an object in a gravitational field is decreased as much as its binding energy in the field. A mass deficiency conversely, via quantum mechanics yields the stretching of the size of the object in hand, as well as the weakening of its internal energy. Henceforth one does not need the "principle of equivalence" assumed by the general theory of relativity, in order to predict the occurrences dealt with this theory. Thus we start with the following interesting postulate, hi fact nothing else, but the law conservation of energy, though in the broader relativistic sense of the concept of "energy".
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    A novel approach to the systematization of alpha-decaying nuclei, based on shell structures
    (Springer, 2016-05-24) Yarman, Nuh Tolga; Zaim, Nimet; Susam, Lidya Amon; Kholmetskii, Alexander; Arık, Metin; Altıntaş, Azmi Ali; Özaydın, Fatih
    We provide a novel systematization of alpha-decaying nuclei, starting with the classically adopted mechanism. The decay half-life of an alpha-disintegrating nucleus is framed, supposing that i) the alpha-particle is born inside the parent, then ii) it keeps on hitting the barrier, while it runs back and forth inside the parent, and hitting each time the barrier, and iii) it finally tunnels through the barrier. One can, knowing the decay half-life, consider the probability that the alpha-particle is born within the parent, before it is emitted, as a parameter. Under all circumstances, the decay appears to be governed by the shell structure of the given nucleus. Our approach well allows to incorporate (not only even-even nuclei, but) all nuclei, decaying via throwing an alpha particle. Though herein, we limit ourselves with just even-even nuclei, in the aim of comparing our results with the existing Geiger-Nuttal results.