Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

New Geometrical Polar-Ring Solution for Magic Numbered Nuclei

  1. Oct 29, 2003 #1

    Leo

    User Avatar

    New Geometrical Polar-Ring Solution for Magic Numbered Nuclei.

    It is well known that if the neutron- or proton number within atomic nuclei have the following quantities (2, 8, 20, 28, 50, 82 and 126: the magic numbers), then the atoms are showing a more than average stability. As an example, the element lead PB126 is an integration of two T= 82 and T=126 structures. (figure B)see: http://home.planet.nl/~vuyk0022/App_Vuyk.htm#appendix7

    For this new solution: Each magic numbered nucleon is supposed to have a polar axis which is occupied by an even number of nucleons.
    This axis is the centre of the coaxial placed symmetrical and globular system of circular trajectories or rings.
    The planes of the rings are supposed to be concentric symmetrical and perpendicular to the polar axis.
    Each circular trajectory is occupied by even numbers of nucleons, as represented in the figures below.
    These figures have to be interpreted as central sections over the axis of the globular nucleus.
    The magic number nuclei with 82 and 126 nucleons have a second "concentric inner system" of nucleons.
    Number T=82 has only one inner ring with 6 nucleons, and number T=126 has three inner rings with respectively 6,8, and 6 nucleons.

    Based on this growing system we may construct and suggest the next magic numbers= 178 and 244.
    It would be interesting to study on the intermediate transitional "jump" situations in nature, between these structures.
    See the figure B:
    There are 7 magic numbered ATOM NUCLEI systematically represented, as a central section through the axis of the more or less globular nucleus, starting with nucleon number: T=2, and in succession T=8, 20.28.50,82 and 126.
    The dot sign represents an axial located nucleon.

    There are two types of circular located nucleons:

    Type A: outer ring located Nucleons: represented in figure B as a closed rectangular with a number X enclosed. This represents a circular trajectory (ring) occupied by X nucleons, concentric with he polar axis of the nucleon.

    Type B: so called Inner ring located Nucleons: represented in figure B as a closed rectangular with an internal horizontal striping and an external located number Y. This represents a circular trajectory occupied by Y nucleons, concentric with the polar axis of the nucleon.
    For T=2, there are 2 axial nucleons.
    For T=8, There are 2 axial nucleons, and 6 ring nucleons= 8.or, as an alternative: 4 axial nucleons, and 4 ring nucleons=8 nucleons.
    For T=20, There are 6 axial nucleons, and 14: (4+6+4) ring nucleons= 20 nucleons.
    For T=28, there are 8 axial nucleons, and 20: (6+8+6) ring nucleons=28 nucleons.
    For T=50, there are 12 axial nucleons, and 38:(6+8+10+8+6) ring nucleons.
    For T=82, there are 16 axial nucleons, and 66: (6+8+10+12+10+8+6)+ (6:in the inner ring) ring nucleons=82 nucleons.
    For T=126, There are 20 axial nucleons, and 106: (6+8+10+12+14+12+10+8+6)+(6+8+6: in the inner ring)=126 nucleons.

    As a result: we may assume that all nucleons should have more or less the same combined structure of Axial and Concentric Ring located Nucleons, as the origin of atomic up or down polarity.
     
  2. jcsd
  3. Oct 31, 2003 #2

    Leo

    User Avatar

    I made additions to my original article with solutions for so called
    Sub-Magic nucleons, see below.

    Geometrical Polar-Ring Solution for Magic Numbered Nuclei.

    It is well known that if the neutron- or proton number within atomic
    nuclei have the following quantities (2, 8, 20, 28, 50, 82 and 126:
    the magic numbers), then the atoms are showing a more than average
    stability. As an example, the element lead PB126 is an integration of
    two T= 82 and T=126 structures. (figure B)see:
    http://home.planet.nl/~vuyk0022/App_Vuyk.htm#appendix7

    Each magic numbered nucleon is supposed to have a polar axis which is
    occupied by an even number of nucleons.
    This axis is the centre of the coaxial placed symmetrical and
    globular system of circular trajectories or rings.
    The planes of the rings are supposed to be concentric and
    perpendicular to the polar axis.
    Each circular trajectory is occupied by even numbers of nucleons, as
    represented in the figures below.
    These figures have to be interpreted as central sections over the
    axis of the globular nucleus.
    The magic number nuclei with 82 and 126 nucleons have a
    second "concentric inner system" of nucleons.
    Number T=82 has only one inner ring with 6 nucleons, and number T=126
    has three inner rings with respectively 6,8, and 6 nucleons.

    Based on this growing system we may construct and suggest the next
    magic numbers= 178 and 244.
    It would be interesting to study on the intermediate
    transitional "jump" situations in nature, between these structures.
    See the figure B:
    There are 7 magic numbered ATOM NUCLEI systematically represented, as
    a central section through the axis of the more or less globular
    nucleus, starting with nucleon number: T=2, and in succession T=8,
    20.28.50,82 and 126.
    The dot sign represents an axial located nucleon.

    There are two types of circular located nucleons:

    Type A: outer ring located Nucleons: represented in figure B as a
    closed rectangular with a number X enclosed. This represents a
    circular trajectory (ring) occupied by X nucleons, concentric with he
    polar axis of the nucleon.

    Type B: so called Inner ring located Nucleons: represented in figure
    B as a closed rectangular with an internal horizontal striping and an
    external located number Y. This represents a circular trajectory
    occupied by Y nucleons, concentric with the polar axis of the nucleon.
    For T=2, there are 2 axial nucleons.
    For T=8, There are 2 axial nucleons, and 6 ring nucleons= 8. Or, as
    an alternative: 4 axial nucleons, and 4 ring nucleons=8 nucleons.
    For T=20, There are 6 axial nucleons, and 14: (4+6+4) ring nucleons=
    20 nucleons. Or, as an alternative : 4 axial nucleons and 2x8 ring
    nucleons.
    For T=28, there are 8 axial nucleons, and 20: (6+8+6) ring
    nucleons=28 nucleons.
    For T=50, there are 12 axial nucleons, and 38:(6+8+10+8+6) ring
    nucleons.
    For T=82, there are 16 axial nucleons, and 66: (6+8+10+12+10+8+6)+
    (6:in the inner ring) ring nucleons=82 nucleons.
    For T=126, There are 20 axial nucleons, and 106:
    (6+8+10+12+14+12+10+8+6)+(6+8+6: in the inner ring)=126 nucleons.

    As a result: we may assume that all nucleons should have more or
    less the same combined structure of Axial and Concentric Ring
    located Nucleons, as the origin of atomic up or down polarity.

    So called submagic nuclei, are nuclei which show also a more than
    average stability, but less manifest than the magic numbered nuclei.
    The numbers found by experiments seem to be: 14,
    38,40,64,108,114,120,152, and 162. If we look at the 7 magic numbered
    nucleons (see also figure B
    http://home.planet.nl/~vuyk0022/App_Vuyk.htm#appendix8 ), it is
    obvious that it represents 7 special Polar/Ring shaped moments within
    a growing nuclear scheme. As a consequence, there should be
    intermediate geometrical structures possible between the seven
    different cross sections given in the figure B, with equatorial
    symmetry and more or less deformed globular structures.

    For T=14, it is assumed that there are 6 axial nucleons and 8 ring
    nucleons.

    For T=38, there are 10 axial nucleons and 28 (6+8+8+6) ring
    nucleons.

    For T=40, there are 12 axial nucleons, and 28 (6+8+8+6) ring
    nucleons.

    For T= 64, there are 16 axial nucleons and 48 (6+8+10+10+8+6) ring
    nucleons.

    For T=108, there are 18 axial nucleons and 90 (6+8+10+12+12+10+8+6) +
    (6+6+6: in the inner ring).

    T=114, is assumed to be basically identical with T=126, however
    with subtraction of the two inner rings occupied with each 6
    nucleons.

    T=120, is assumed to be also corresponding with T=126, however with
    extension of 2 extra axial nucleons (22 total) and with subtraction
    of the single inner ring occupied with 8 nucleons.

    T=152, is assumed to be also corresponding with T=126, however with
    extension of 4 extra axial nucleons (24 total) and with addition of
    an extra "double equatorial ring " (8+14=22 nucleons) adding 26 extra
    nucleons to the T=126 nucleus.

    T=162, is assumed to be corresponding with T=126, however with
    extension of 4 extra axial nucleons (24 total) and with addition of
    2x double equatorial rings (8+14+14+8=44 nucleons) and under
    subtraction of two inner rings of 6 nucleons. As a result this
    nucleus should have a cylindrical non-globular form elongated along
    the nuclear axis.

    (see; Figure B.
    http://home.planet.nl/~vuyk0022/App_Vuyk.htm#appendix8 .The schematic
    geometrical representation of these nucleons placed in magic number
    nuclei)
    Leo.
     
  4. Nov 3, 2003 #3

    Leo

    User Avatar

    As I expected, I found also possible geometrical solutions for "sub
    magic numbered" nuclei.with the nucleon numbers: 14,
    38,40,64,108,114,120,152, and 162.
    So I extended my original article, see below.

    Geometrical Polar-Ring Solution for Magic Numbered Nuclei.

    It is well known that if the neutron- or proton number within atomic
    nuclei have the following quantities (2, 8, 20, 28, 50, 82 and 126:
    the magic numbers), then the atoms are showing a more than average
    stability. As an example, the element lead PB126 is an integration of
    two T= 82 and T=126 structures. (figure B)see:
    http://home.planet.nl/~vuyk0022/App_Vuyk.htm#appendix7

    Each magic numbered nucleon is supposed to have a polar axis which is
    occupied by an even number of nucleons.
    This axis is the centre of the coaxial placed symmetrical and
    globular system of circular trajectories or rings.
    The planes of the rings are supposed to be concentric and
    perpendicular to the polar axis.
    Each circular trajectory is occupied by even numbers of nucleons, as
    represented in the figures below.
    These figures have to be interpreted as central sections over the
    axis of the globular nucleus.
    The magic number nuclei with 82 and 126 nucleons have a
    second "concentric inner system" of nucleons.
    Number T=82 has only one inner ring with 6 nucleons, and number T=126
    has three inner rings with respectively 6,8, and 6 nucleons.

    Based on this growing system we may construct and suggest the next
    magic numbers= 178 and 244.
    It would be interesting to study on the intermediate
    transitional "jump" situations in nature, between these structures.
    See the figure B:
    There are 7 magic numbered ATOM NUCLEI systematically represented, as
    a central section through the axis of the more or less globular
    nucleus, starting with nucleon number: T=2, and in succession T=8,
    20.28.50,82 and 126.
    The dot sign represents an axial located nucleon.

    There are two types of circular located nucleons:

    Type A: outer ring located Nucleons: represented in figure B as a
    closed rectangular with a number X enclosed. This represents a
    circular trajectory (ring) occupied by X nucleons, concentric with he
    polar axis of the nucleon.

    Type B: so called Inner ring located Nucleons: represented in figure
    B as a closed rectangular with an internal horizontal striping and an
    external located number Y. This represents a circular trajectory
    occupied by Y nucleons, concentric with the polar axis of the nucleon.
    For T=2, there are 2 axial nucleons.
    For T=8, There are 2 axial nucleons, and 6 ring nucleons= 8. Or, as
    an alternative: 4 axial nucleons, and 4 ring nucleons=8 nucleons.
    For T=20, There are 6 axial nucleons, and 14: (4+6+4) ring nucleons=
    20 nucleons. Or, as an alternative : 4 axial nucleons and 2x8 ring
    nucleons.
    For T=28, there are 8 axial nucleons, and 20: (6+8+6) ring
    nucleons=28 nucleons.
    For T=50, there are 12 axial nucleons, and 38:(6+8+10+8+6) ring
    nucleons.
    For T=82, there are 16 axial nucleons, and 66: (6+8+10+12+10+8+6)+
    (6:in the inner ring) ring nucleons=82 nucleons.
    For T=126, There are 20 axial nucleons, and 106:
    (6+8+10+12+14+12+10+8+6)+(6+8+6: in the inner ring)=126 nucleons.

    As a result: we may assume that all nucleons should have more or
    less the same combined structure of Axial and Concentric Ring
    located Nucleons, as the origin of atomic up or down polarity.

    So called submagic nuclei, are nuclei which show also a more than
    average stability, but less manifest than the magic numbered nuclei.
    The numbers found by experiments seem to be: 14,
    38,40,64,108,114,120,152, and 162. If we look at the 7 magic numbered
    nucleons (see also figure B
    http://home.planet.nl/~vuyk0022/App_Vuyk.htm#appendix8 ), it is
    obvious that it represents 7 special Polar/Ring shaped moments within
    a growing nuclear scheme. As a consequence, there should be
    intermediate geometrical structures possible between the seven
    different cross sections given in the figure B, with equatorial
    symmetry and more or less deformed globular structures.

    For T=14, it is assumed that there are 6 axial nucleons and 8 ring
    nucleons.

    For T=38, there are 10 axial nucleons and 28 (6+8+8+6) ring
    nucleons.

    For T=40, there are 12 axial nucleons, and 28 (6+8+8+6) ring
    nucleons.

    For T= 64, there are 16 axial nucleons and 48 (6+8+10+10+8+6) ring
    nucleons.

    For T=108, there are 18 axial nucleons and 90 (6+8+10+12+12+10+8+6) +
    (6+6+6: in the inner ring).

    T=114, is assumed to be basically identical with T=126, however
    with subtraction of the two inner rings occupied with each 6
    nucleons.

    T=120, is assumed to be also corresponding with T=126, however with
    extension of 2 extra axial nucleons (22 total) and with subtraction
    of the single inner ring occupied with 8 nucleons.

    T=152, is assumed to be also corresponding with T=126, however with
    extension of 4 extra axial nucleons (24 total) and with addition of
    an extra "double equatorial ring " (8+14=22 nucleons) adding 26 extra
    nucleons to the T=126 nucleus.

    T=162, is assumed to be corresponding with T=126, however with
    extension of 4 extra axial nucleons (24 total) and with addition of
    2x double equatorial rings (8+14+14+8=44 nucleons) and under
    subtraction of two inner rings of 6 nucleons. As a result this
    nucleus should have a cylindrical non-globular form elongated along
    the nuclear axis.

    (see; Figure B. The schematic geometrical representation of these
    nucleons placed in magic number nuclei)



    Leo.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: New Geometrical Polar-Ring Solution for Magic Numbered Nuclei
  1. A new Theory of Numbers (Replies: 46)

Loading...