Re: Electo London Gravity ?
- From: "sue jahn" <susysewnshow@xxxxxxxxxxxx>
- Date: Fri, 8 Jul 2005 10:51:42 -0400
"Significant Zero" <paulpsremove@xxxxxxxxxx> wrote in message news:1120833200.30126.0@xxxxxxxxxxxxxxxxxxxxx
>
> "sue jahn" <susysewnshow@xxxxxxxxxxxx> wrote in message
> news:42cb8a9d$0$18640$14726298@xxxxxxxxxxxxxxxxxx
> |
> | "sue jahn" <susysewnshow@xxxxxxxxxxxx> wrote in message
> news:42b9c325$0$18649$14726298@xxxxxxxxxxxxxxxxxx
> | >
> | <<36. A. K. T. Assis, "Gravitation as a fourth order electromagnetic
> effect," In: Advanced Electromagnetism: Foundations, Theory
> | and
> | > Applications, T. W. Barrett and D. M. Grimes (eds.), (World Scientific,
> Singapore, 1995), pp. 314-331. Abstract: We present a
> | > generalized Weber's law for electromagnetism including terms of fourth
> and higher orders in 1/c. These extra terms when applied to
> | > the force between two neutral dipoles yield an equivalent to Newton's
> law of universal gravitation as a fourth order
> | electromagnetic
> | > effect.
> | > Self-Binding Transition in Bose Condensates with Laser-Induced
> ``Gravitation''>>
> | >
> http://www.ifi.unicamp.br/~assis/gravitation-4th-order-p314-331(1995).pdf
> | >
> | > Self-Binding Transition in Bose Condensates with Laser-Induced
> ``Gravitation''
> | > http://arxiv.org/abs/quant-ph/0010045
> | >
> | > <<
> | > Distance and Angle Dependence of Non-bonded Interactions.
> | >
> | > With fixed magnitude charges:
> | > POINT CHARGE with POINT CHARGE 1/r
> | > POINT CHARGE with DIPOLE Cos (angle) x 1/r2
> | > DIPOLE with DIPOLE F(angle)* x 1/r3
> | > POINT CHARGE with QUADRAPOLE ~1/r3
> | > DIPOLE with QUADRAPOLE ~1/r4
> | > QUADRAPOLE with QUADRAPOLE ~1/r5
> | >
> | > With polarizable charge centers:
> | > POINT CHARGE w/ POLARIZABLE DIPOLE ~ 1/r4
> | > INDUCED DIPOLE-DIPOLE ~ 1/r6
> | > INDUCED DIPOLE-OCTUPOLE ~ 1/r8
> | > INDUCED QUADRAPOLE-QUADRAPOLE ~ 1/r10
> | >
> | > * where F(angle) is a function of the cosines and sines of the angles
> | > between the dipole moments and the separation vector. >>
> | > http://bmbiris.bmb.uga.edu/wampler/tutorial/prot3.html
> | >
> | > ------
> | > Force attenuation symetry range
> | > London 1/d^7 3 dimensional short range
> | > Magnetism 1/d^3 2 dimensional short (non isotropic)
> | > E&M 1/d^2 2 dimensional long (non isotropic)
> | > Coulomb 1/d^2 3 dimensional long
> | > Gravity 1/d^2 3 dimensional long
> | > ------
> | >
> | <<
> | Charge-dipole interactions
> | The potential energy now falls off as 1/r^2
> |
> | Dipole-dipole interactions
> | Note that the potential energy between two dipoles falls off as 1/r^6
> power.
> | Dipole-dipole interactions are short-range interactions
> |
> | Dipole-induced dipole interactions
> | where again we have a 1/r6 dependence.
> |
> | Induced dipole-induced dipole interactions
> | This instantaneous dipole can then induce a dipole in a neighboring
> | atom, resulting in an attractive potential that also has a 1/r6
> dependence.
> |
> | Lennard-Jones potential
> | A commonly used analytical form that lumps together all
> | dipole-dipole interactions and includes both the attractive and
> | the repulsive terms is the Lennard-Jones potential where the
> | repulsive term is approximated as having a 1/r^12 dependence:
> | >>
> |
> http://tigger.uic.edu/classes/phys/phys461/phys450/ANJUM03/lecture_notes3_aa
> .htm
> |
> | << In contrast the 1/r^6 predominates when the separation r increases in
> magnitude.
> | Hence the term describes the long--range attractive tail of the potential
> | between two particles. The Lennard--Jones force between two
> | molecules is given the equation: >>
> | http://polymer.bu.edu/Wasser/robert/work/node8.html
> |
>
> Could you explain an apparent inconsistency in you data Sue as you have
> Coulomb at 1/d^2 and POINT CHARGE with POINT CHARGE 1/r. I thought
> Coulumb was a point to point charge definition. ?
Gossip Your Honor, pure unadulterated Gossip :o)
I am sure there are many inconsistancis in between the various
tables because they come from various sources. I was trying
to find if things get fuzzy in the VDW and London effect.
It appears they do because we may see distance profiles stated
anywhere from r^6 to r^12, Whaddaya expect from induced dipoles
that may wink in and out of existance depending on what other dipoles do.
To your point. We should have no ambiguity with the far-field effects.
Might we clear up the matter with the statements?::
Gravitational force diminishes by 1/r^2 above the earths surface.
Gravitational force diminishes by 1/r^1 below the earths surface.
and from the source document:
<<As the non-bonded interaction between atoms and groups
involves less than full formal charge and involves polarization
contributions, the distance dependence falls of more quickly
than the 1/r dependence of Coulomb's law. In these more
complicated cases, where the charges can not be represented
by single point locations, the interactions are also less isotropic,
falling off not just as a function of distance, but also as a
function of orientation: >>
As the source document involves forces *within* some kind
of fluid or solid, a polymer scientist probaby has little need
for the far-field situation. 1/r^2.
Sue...
Pardon my careless interchange of d distance and r radius.
> --
> Significant Zero E-field = Electric field, M-field =Magnetic field, two
> unbound field effects
> http://home.freeuk.com/paulps/
> Maybe updates. The spuds, beans and onions are coming up nicely. Ooh
> ah.{:-)
>
>
> | ----
> | Sue...
> |
> |
>
>
.
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