1.Mass coupling. The elementary charge is between a proton and a electron. The electro motoric force F and electric field E are "connected" to physical objects and thereby mass via the proton , and are actuated or actuating with a force relative to the proton mass (Newton/proton mass). Because of inverse square law the force at distance r is F=f*Q1*Q2/r^2/proton mass. Here f is a factor (the relation), Q1 and Q2 charges in a applicable unit that I call indifferent Coulomb Ci that is different from SI Coulomb indexed i. Rewriting mass in nuclear units give F=f*Q1*Q2/(r^2*mpi*c^2) The proton mass mpi is key to the by me used i-units.

2.Geometric Coulomb constant. For two identical spheres the electric fields meet at halfway their distance r/2. Using the radius of the sphere as distance unit (for math reasons) a proportional distance p=r/R. A "geometric" integral over the sphere surface A from distance p give f*A=INT 2*|R|sqrt(1-R^2)/(p+R)^2 dR => f*A=(4pi*sqrt(p^2-1)*(2p^2-1)*arcsin(1/p)-2p^2+2)/(p^2-1). This equation have a limes value 4/3 at infinity, f=4/3. This give full formula for Coulombs constant (macroscopic squares) F=ks*Q1*Q2/r^2 where ks= 4/(3*mpi'c^2) =8,9*10^9 Nm2/Ci2.

3.Stoichiometric correction. When going from weighed (kg) laboratory spheres to atomic scale, I realized that the ratio kg/g (kmol/mol) have been "unnoticed". (The detail evaded me for quite long even though I am a chemist) This mean macroscopic is N/kg and atomic scale is N/g (N/mol). To get this on same magnitude for force and E, using atomic N/(kg/1000) =N*1000/kg. The force (field) is the same N but impact a target of a 1/1000 units.

4.Atomic Coulomb constant. "Adding a spheric (proton) field to a point (electron) field was in the end straight forward (4/3+1)=7/6 because it is about ONE charge not two halves, I realized half a year later. This give a feature I call the atomic Coulomb constant ka=7*1000/(6*mpi*c^2) =7,8*10^12 N/m2Ci2. This also mean that (alpha) the fine structure constant is part of "compensating" for the 1000 times mishap. The balance equation e^2=2(alpha)*(epsylon0)*h*c, I rewrite to ka*ei^2=hi*c, where ei is elementary charge and hi Planck constant. Indexed i to separate from CODATA and those mainstream constants.My theory has "evolved" to ka=ks*6/(alpha). "Fine structure constant" (patch) (alpha)=e*c^2/2 26.6 TiM

5.The ratio. To the theory rigid, the amount n of elementary charges need to match protons (and kg:s) Deploying Avogadro type of number NApi=1kg/(1000*mpi). This give a Faraday constant Fi=NApi*ei=sqrt(ks) =94150 Ci/mol protons. The correction is not because coulomb being in mols, but having mpi having mpi kg: as common factor. This give ei=sqrt(4*1000^2*mpi/)3*c^2))= 1,5757*10^-19 Ci (indifferent coulomb). The charge mass coupling is "exactly" ei^2/mpi=4*1000^2/(3*c^2) = 1.4835*^10^-11Ci2/kg. This regardless of what proton mass "turn out to be".

6.Planck constant. Further can be derived Planck constant for Ci and kg compatible units hi=ei^2*ka/c= 14*1000^3/(9*c^5)= 6,4236*10^-34 Js. This in classic (mecanical) Joule.

7.Proton mass (mainstream /i blend calculation). Since Rydberg has worked around the 1000 times mishap I use his formula R(inf)=me*e^4/(8*(epsilon0)^2*h^3*c) and classic (epsylon0)=1/(4*pi*k) and my ka*ei^2=hi*c. From these can be derived R(inf)=2*mei*pi*ks^2/(hi*ka^2) =mei*576*pi^2*c^6/(343*1000^5). mei =indexed mass of electron. Mass of proton /mass of electron 1836,15 and Rydberg constant for hydrogen RH=1,09678*10^7 /m give mei =9,1152208'10^-31 kg and indifferent proton mass mpi= 1,67369371*10^-27kg.

8.Constants.Avogadro for protons NApi=1/(1000*mpi)= 5,974809*10^-27 kg

Elementary charge ei=sqrt(4*1000^2/(3*c^2))= 1,575748*10^-19 Ci

Faradays constant Fi =sqrt(ks)= 94147,9 Ci/molpi (i-protons/(1000*kg)

Coulomb constant for spheres ks=4/(3*mpi*c^2)= 8,863829*10^9 Nm/Ci2

Atomic Coulomb constant ka=7000/(6*mpi*c^2)=7,75585*10^12Nm/Ci2

Exact constants. Coulomb square/mass ratio ei^2/mpi=4*1000^2/(3*c^2) = 1,483533408*10^-11 Ci/kg

Planck constant hi=14*1000^3/(9*c^5)= 6,423652096*10^-34 Js

9.Further derivations. Magnetic permeability in free space (mu0)=ka*ei=hi*c/ei= 1,222126*10^-6 N/Ai2

If wanted (not needed) fine structure coefficient (alphai)=ei*c^2/2 =0,0070815663 Cim2/s2

From above Rydberg energy (i units) Ryi=mei*ei^2*c^6/8= mei*mpi*c^4*1000^2/6 =2,0538785*10^-18 kgm/s2 (Ci Joule)

Real physicians need go count their quants in Monday Timo Moilanen

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