Color print 1280 X 960 GIF B & W print Table only print Tutorial back Complete values table Symbol key, Tutorial next
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Color print 1280 X 960 GIF B & W print
Color print ...and list 1280 X 960 GIFS B & W print ...and list The last graphic is a 2D portrayal of a 3D map, but also includes representation of a factor extending into 4D, where a term 1/{([4Pi][k])^[1/2]} = ([Ke]^[1/2]) is multiplied in and symbolized by a wedge expanding away from view, toward the background, or it is divided out and signified by a wedge expanding toward the viewer : Representation of displacement into the fourth dimension by a factor of (Meters per Farad)^[1/2] is multiplied into the depiction plane or divided out of that 2D depiction plane with each wedge. Wedges as displacement into the fourth dimension ---------------------------------++--------------------------------- Numbers between asterisks below refer to locations in those graphics above : four different projections of that vector space structuring into a lattice of logic the values of the experimentally determined atomic unit constants that are adjusted, agreed upon, and published by standards organizations and national metrological laboratories, except that here those values are expressed as common logarithms: the CODATA 2010 values of the fundamental constants as seen in allascii.txt, September 30 2012 at http://physics.nist.gov/constants GUNTERTABLE2 ---------------------------------++--------------------------------- POWER OF TEN | COMMENTS, NOTES UNITS ---------------------------------++--------------------------------- + 9.9536414 [Ke] = 1/([4Pi][k]) =[a0][B0]/([Me][Jf][Pi]) fradMetr = [d]{[v0]^2}/([4Pi]{[aa]^2}) = [z0]{[v0]^2}/([c][4Pi]{[aa]^2}) *0* = [v0][RK]/[2Pi] = [c^2][d]/[4Pi] = 1/[AUN permittivity] - 11.0528513 [k] = 1/([d][c^2]) = Electric constant Fradmetr = ([aa]^2)/{[d]([v0]^2)} = [10^7][Metr]/([4Pi][c^2][Hnry]) = 1/(2[v0][RK]) = 1/(2[aa][c][RK]) hnrymetrS2nd=metrohmmScnd = [Q0]/(4[w0][v0]) = [Jf^2][Me][a0][Pi]/4 CuulmetrScndwebr *0* = ([a0]^-2)([2af]^-2)([aa]^2)/[d] = [AUN permittivity]/[4Pi] - 20.0868697 ([B0]^2)([a0]^3) = [Me][Ke] M3trT2la=fradKgrmMetr *1* = [Me]/{[4Pi][k]} = [Me][c^2][d]/[4Pi] = [AUN mass][Ke] - 30.0405111 [Me] = Electron mass Kgrm = 2[Rc][h]/([c]{[aa]^2}) = Natural unit of mass CuulScndTsla = ([B0]^2)([a0]^3)/[Ke] = [Q0][B0]/[2af] FradM2trT2la = ([B0]^2)[AUN electric polarizability] C2ulHnrym2tr = ([Q0]^2)[d]/{[a0][4Pi]([aa]^2)} C2uljuulM2trT2la = ([i0]^2)[RK]/{[2af]([v0]^2)[2Pi]} A2prm2trOhmmS3nd = [Ke]([Q0]^2)/{([v0]^2)[a0]} C2ulfradm2trS2nd = [B0][a0]/([Jf][Pi][Ke]) FradScndTslaVltt = [Eg0][a0]/([2af][Jf][Pi][Ke]) Fradm2trS2ndV2tt *1* = [Me] = [PM][PL]/{[aa][a0]} = AUN mass - 39.9941525 ([Q0]^2)/{([v0]^2)[a0]} C2ulm3trS2nd = ([Q0]^2)[d]/{[a0][Ke]([aa]^2)[4Pi]} FradKgrmmetr *1* = [Me]/[Ke] = [AUN mass]/[Ke] - 10.2763989 Bohr radius = [aa]/([4Pi][Rc])= [Cw]/([2Pi][aa]) Metr = ([Pi][Jf][B0])^-.5 = [PM][PL]/([Me][aa]) = [Re]/([aa]^2) = ({[hB]^2}/([Me]{[Q0]^2]})/{[d][c^2]/[4Pi]} *2* = [a0] = ([hB]^2)/{[Ke][Me]([Q0]^2)} = AUN length + 16.6163849 [He]/[hB] = [2Pi][f0] scnd=Hrtz = [2Pi][Ke]/([RK][a0]) fradohmm *3* = [2af] = [Me]([Q0]^4)/{([hB]^3)([Ke]^2)} = AUN frequency - 16.6163849 [hB]/[He] = ([2Pi][f0])^-1 Scnd = ([RK]/[2Pi])[a0]/[Ke] FradOhmm *4* = [2af]^-1 = ([Ke]^2)([hB]^3)/{[Me]([Q0]^4)} = AUN time - 20.8900542 [hB]/([Me][c^2]) = Natural unit of time Scnd *4* = ([2af]^-1)([aa]^2) = [AUN time]([aa]^2) - 4.1108052 [G0] = Conductance quantum = 2([Q0]^2)/[h] Smns = 4[aa]/([d][c]) = 2/[RK] = [Jf][Q0] = [Q0]/[w0] = 4[aa]/[z0] *5* = [a0][2af]/{[Pi][Ke]} = [AUN velocity]/([Pi][Ke]) + 6.3399860 [v0] = [a0][He]/[hB] = ([Q0]^2)[Ke]/[hB] Metrscnd = [Ke][2Pi]/[RK] = [G0][Ke][Pi] = [E0]/[B0] CuulfradMetrwebr = [2af]/[Jf][Pi][a0][B0] metrtslaVltt=fradMetrSmns *5* = [a0][2af] = [a0](2[Pi][f0]) = [Jf][Q0][Ke][Pi] = AUN velocity + 8.4768207 [c] = [v0]/[aa] = [PL][Pf] = 1/{2[aa][RK][k]} Metrscnd = [z0]/[d] = 1/{[k][z0]} = {1/([k][d])}^.5 = {[G][PM]/[PL]}^.5 = [hB]/{[PM][PL]} = 1/{[c][d][k]} = [Rp]/[Tp] fradhnryMetrScnd = [f0]/(2[Rc]) = [E0]/{[aa][B0]} = speed of light in vacuum *5* = [a0][2af]/[aa] = [aa][H0]/{[k][E0]} = [AUN velocity]/[aa] - 23.7005250 [p0] = [hB]/[a0] KgrmMetrscnd *6* = [Me][a0][2af] = AUN momentum - 33.9769239 [hB] = [He]/{[4Pi][Rc][c]} = {[PQ]^2}[z0] JuulScnd = [Ke]{[Q0]^2}/[v0] = {[Q0]^2}/{[4Pi][k][v0]} CuulM2trTsla = {[Q0]^2}[v0][d]/([4Pi]{[aa]^2}) = {[Q0]^2}[RK]/[2Pi] = [B0][Q0]{[a0]^2} = [Q0][w0]/[Pi] = [PM][PL][c] *7* = [Me]{[a0]^2}[2af] = [u0][Me]/[Q0] = AUN action - 7.0841401 [Fe] = [He]/[a0] = [Q0][E0] AmprMetrTsla=Nwtn = [Ke]{[i0]/[v0]}^2 = [B0][i0][a0] C2ulfradmetr = 4[B0]{[aa]^2}[w0]/[d] hnryM3trT2la=fradhnryKgrmMetr = {[i0]^2}[d]/([4Pi]{[aa]^2}) A2prfradmetrS2nd=A2prHnrymetr *8* = [Me][a0]([2af]^2) = [Ke]{[Q0]/[a0]}^2 = AUN force - 17.3605390 [He] = [Ke]([Q0]^2)/[a0] = 2[Rc][h][c] Juul *9* = [Me]([a0]^2)([2af]^2) = Hartree energy = AUN energy - 27.6369379 ([Q0]^2)([Ke]) = [hB][v0] C2ulfradMetr=JuulMetr = ([Q0]^2)/(4[k][Pi]) = [He][a0] M4trPscl=FradM5trs2ndT2la = [Me][Re][c^2] = [G]([PM]^2)[aa] MetrScndWaat=hnryMetrW2br = ([Q0]^2)[z0][c]/[4Pi] = [PM][PL][c^2][aa] C2ulMetrOhmmscnd = [2][a0](13.605804 electron volts) M2trNwtn *10* = [Me]([a0]^3)([2af]^2) = ([AUN charge]^2)[Ke] KgrmM3trs2nd - 37.5905793 [Q0]^2 = [G]([PM]^2)[aa]/[Ke] C2ul=K2rms2ndt2la = ([Me][2af]/[B0])^2 = ([E0]{[a0]^2}/[Ke])^2 FradKgrmM2trs2nd = 2[aa][h]/{[d][c]} = [Me][a0]({[aa]^2}[4Pi]/[d]) h2ryJ2ulS4nd = [PL][PM][4Pi][aa]/[d] = [Me][Re]([4Pi]/[d]) hnryKgrmM2tr = [PM]{[PL]^3}{[Pf]^2}[aa]/[Ke] =(4[w0][v0][k])^2 F2ads2ndW2br = {[PX]^2}[aa] = [hB][v0][4Pi][k] = [h]/[RK] FradJuul = {[PQ]^2}[4Pi][aa] = {[PQ]^2}[z0][2Pi]/[RK] JuulohmmScnd *10* = [Me]([a0]^3)([2af]^2)/[Ke] = [AUN charge]^2 A2prKgrmMetrnwtn - 13.8184690 [Q0]([Ke]^.5) = ([hB][v0])^.5 Cuulf12dM12r = ([PM]^.5)([PL]^1.5)([Pf]^1)([aa]^.5) K12mM32rscnd *11* = ([Me]^.5)([a0]^1.5)[2af] = [AUN charge]([Ke]^.5) - 18.7952897 [Q0] = ([G]([PM]^2)[aa]/[Ke])^.5 Cuul=Kgrmscndtsla = [Me][2af]/[B0] = [4Pi][k][E0]{[a0]^2} F12dK12mMetrscnd = ([2][aa][h]/{[d][c]})^.5 = 4[w0][v0][k] hnryJuulS2nd =[PX]{[aa]^.5} =[PQ]({[4Pi][aa]}^.5) =[PQ]({[z0][2Pi]/[RK]}^.5) = ([PM]^.5)([PL]^1.5)([Pf]^1)([aa]^.5)/([Ke]^.5) FradscndWebr *11* = ([Me]^.5)([a0]^1.5)[2af]/([Ke]^.5) = AUN charge - 2.1789047 [i0] = [Q0][He]/[hB] Ampr = [PM][2af]([G][aa])^.5)/([Ke]^.5) F12dK12mMetrs2nd *12* = {([Me]^.5)([a0]^1.5)([2af]^2)/([Ke]^.5) = AUN current + 2.7979159 [i0]([Ke]^.5) Amprf12dM12r = ([Q0][He]/[hB])([Ke]^.5) K12mM32rs2nd *12* =([Me]^.5)([a0]^1.5)([2af]^2) = [AUN current]([Ke]^.5) + 1.4347506 [vT0] = ([Q0][Ke])/[a0] Vltt=f12dK12mMetrscnd = [He]/[Q0] = ([Fe]^.5)([Ke]^.5) cuulJuul=f12dM12rN12n *13* =([Me]^.5)([a0]^.5)[2af]([Ke]^.5) = AUN electric potential - 3.5420701 [vT0]/([Ke]^.5)=([Fe]^.5) cuulF12dJuulm12r=F12dm12rVltt = [He]/{[Q0]([Ke]^.5)} = [Q0]([Ke]^.5)/[a0] N12n=K12mM12rscnd *13* = ([Me]^.5)([a0]^.5)[2af] = [AUN electric potential]/([Ke]^.5) + 6.7343288 [He]/{([Q0][a0])([Ke]^.5)} F12dm32rVltt=K12mm12rscnd *14* = ([Me]^.5)([a0]^-.5)[2af] = [AUN electric field]/([Ke]^.5) + 11.7111495 [E0] = ([Q0][Ke])/([a0]^2) f12dK12mscnd=metrVltt *14*=([Me]^.5)([a0]^-.5)[2af]([Ke]^.5) =AUN electric field cuulNwtn + 12.0339070 [QD0] = [Q0]/([a0]^3) F12dK12mm2trscnd=Cuulm3tr = [B0][2af]/[Ke] = [Eg0]/[Ke] FradmetrscndTsla *15* = ([Me]^.5)([a0]^-1.5)[2af]/([Ke]^.5) = AUN charge density + 17.0107277 [He]/{[Q0]([a0]^2)([Ke]^.5)} cuulF12dJuulm52r = [B0][2af]/([Ke]^.5) F12dm12rscndTsla = [Eg0]/([Ke]^.5) = [AUN electric field gradient]/([Ke]^.5) = {[Q0]/([a0]^3)}([Ke]^.5) = [AUN charge density]([Ke]^.5) *15* = ([Me]^.5)([a0]^-1.5)[2af] F12dm52rVltt=K12mm32rscnd + 21.9875484 [Eg0] = AUN electric field gradient m2trVltt = [He]/([Q0]([a0]^2)) = [B0][2af] cuulJuulm2tr=scndTsla = [Ke][Q0]/([a0]^3) Cuulfradm2tr *15* = ([Me]^.5)([a0]^-1.5)[2af]([Ke]^.5) f12dK12mmetrscnd - 24.0948678 [q0]([Ke]^.5) K12mM52rscnd = [Q0][a0]([Ke]^.5) Cuulf12dM32r *16* =([Me]^.5)([a0]^2.5)[2af]=[AUN electric dipole moment]([Ke]^.5) - 29.0716885 [q0] = [Q0][a0] CuulMetr=F12dK12mM2trscnd *16* =([Me]^.5)([a0]^2.5)[2af]/([Ke]^.5) =AUN electric dipole moment - 34.3712667 [qD0]([Ke]^.5) = [Q0]([a0]^2)([Ke]^.5) Cuulf12dM52r = [AUN electric quadrupole moment]([Ke]^.5) *17* =([Me]^.5)([a0]^3.5)[2af] K12mM72rscnd - 39.3480874 [qD0] = [Q0]([a0]^2) = AUN electric quadrupole moment = [hB]/[B0] = [Me][vT0]/{[B0]^2} JuulScndtsla=Kgrmt2laVltt *17* = ([Me]^.5)([a0]^3.5)[2af]/([Ke]^.5) CuulM2tr=F12dK12mM3trscnd - 30.8291966 {([Q0]^2)([a0]^2)/[He]}[Ke] C2ulfradjuulM3tr=M3tr = [Q0][Ke]/([B0][2af]) CuulfradMetrScndtsla *18* = [a0]^3 = [Ke][Me]/([B0]^2) =[AUN electric polarizability][Ke] - 40.7828380 [18P] = {([Q0][a0])^2}/[He] C2uljuulM2tr = [Q0]/([B0][2af]) = [Me]/([B0]^2) CuulScndtsla *18* =([a0]^3)/[Ke] = AUN electric polarizability FradM2tr=Kgrmt2la - 37.5635254 [({[Q0][a0]}^3)/{[He]^2}]{[Ke]^1.5} C3ulf32dj2ulM92r = [AUN 1st hyperpolarizability]([Ke]^1.5) *19* = ([Me]^-.5)([a0]^3.5)([2af]^-1) k12mM72rScnd - 52.4939875 [19P] = {([Q0][a0])^3}/([He]^2) C3ulj2ulM3tr = AUN 1st hyperpolarizability *19* = ([Me]^-.5)([a0]^3.5)([2af]^-1)/([Ke]^1.5) F32dk12mM2trScnd - 44.2978542 {([Q0][a0])^4}/([He]^3)}([Ke]^2) C4ulf2adj3ulM6tr = [AUN 2nd hyperpolarizability][Ke]^2 *20* = ([Me]^-1)([a0]^4)([2af]^-2) kgrmM4trS2nd - 64.2051370 [20H] = {([Q0][a0])^4}/([He]^3) C4ulj3ulM4tr *20* =([Me]^-1)([a0]^4)/{([2af][Ke])^2} =AUN 2nd hyperpolarizability + 0.3943428 [B0]/([Ke]^.5) = [hB]/{[Q0]([a0]^2)([Ke]^.5)} = [AUN magnetic flux density]/([Ke]^.5) cuulF12dKgrmm12rscnd *21* = ([Me]^.5)([a0]^-1.5) K12mm32r=F12dm12rTsla + 5.3711635 [B0] = [hB]/{[Q0]([a0]^2)} f12dK12mmetr = [i0][d]/{[4Pi][Re]} cuulKgrmscnd=Tsla *21* = ([Me]^.5)([a0]^-1.5){[Ke]^.5) = AUN magnetic flux density - 17.7548818 [u0]([Ke]^.5) = {[Q0][hB]/[Me]}([Ke]^.5) K12mM72rs2nd = [2][Bm]([Ke]^.5) = [AUN magnetic dipole moment]([Ke]^.5) *22* =([Me]^.5)([a0]^3.5)([2af]^2) CuulF12dM32rscnd=f12dJuulM12rtsla - 22.7317025 [u0] = 2[Bm] = [Q0][hB]/[Me] AmprM2tr=Juultsla = [i0]([a0]^2) = [Q0][v0][a0] = AUN magnetic dipole moment *22* = ([Me]^.5)([a0]^3.5)([2af]^2)/([Ke]^.5) F12dK12mM3trs2nd - 18.1492245 ([Q0]^2)([a0]^2)[Ke]/[Me] C2ulfradkgrmM3tr = [He][Ke]/([B0]^2) = ([v0]^2)([a0]^3) fradJuulMetrt2la = ([a0]^3)[4Pi]([aa]^2)[Ke]/[d] fradhnryM5tr *23* = ([a0]^5)([2af]^2) = [AUN magnetizability][Ke] M5trs2nd - 28.1028659 [23M] = ([Q0]^2)([a0]^2)/[Me] = [He]/([B0]^2) Juult2la = [PM]{[PL]^2}[hB][a0][Pf]/([Ke]{[Me]^2}) C2ulkgrmM2tr = [hB][v0]{[a0]^2}/{[Ke][Me]} = ([v0]^2)([a0]^3)/[Ke] = ([a0]^3)[4Pi]([aa]^2)/[d] hnryM4tr *23* = ([a0]^5)([2af]^2)/[Ke] = AUN magnetizability FradM4trs2nd + 11.2452214 [QeM] = [Q0]/[Me] = [Gye]/([ue]/[Bm]) Cuulkgrm = (2[Bm]/[hB]) = [2af]/[B0] = [Eg0]/([B0]^2) Hrtztsla = ({[G]([Fe]/[Fg])([Mp]/[Me])}^.5)/([Ke]^.5) = [Electron gyromagnetic ratio]/([ue]/[Bm]) m2trt2laVltt *24* = ([Me]^-.5)([a0]^1.5)[2af]/([Ke]^.5) F12dk12mMetrscnd + 11.2457248 [Gye] = [QeM]([ue]/[Bm]) Cuulkgrm=Hrtztsla = 2[ue]/[hB] = [2af]/[B0]([ue]/[Bm]) F12dk12mMetrscnd = ({[G]([Fe]/[Fg])([Mp]/[Me])}^.5)([ue]/[Bm])/([Ke]^.5) = [Eg0]/([B0]^2)([ue]/[Bm]) = Electron gyromagnetic ratio *24* = ([Me]^-.5)([a0]^1.5)[2af]([ue]/[Bm])/([Ke]^.5) m2trt2laVltt + 16.2220422 [Gye]([Ke]^.5)/([ue]/[Bm]) f12dM12rscndtsla = [QeM]([Ke]^.5) = (2[Bm]/[hB])([Ke]^.5) = [2af]([Ke]^.5)/[B0] = {[G]([Fe]/[Fg])([Mp]/[Me])}^.5 = [Eg0]/([B0]^2)([Ke]^.5) = {[Electron gyromagnetic ratio]([Ke]^.5)}/([ue]/[Bm]) *24* = ([Me]^-.5)([a0]^1.5)[2af] k12mM32rscnd=Cuulf12dkgrmM12r + 16.2225455 [Gye]([Ke]^.5) = [QeM]([Ke]^.5)([ue]/[Bm]) = (2[ue]/[hB])([Ke]^.5) = [2af]([Ke]^.5)([ue]/[Bm])/[B0] = ({[G]([Fe]/[Fg])([Mp]/[Me])}^.5)([ue]/[Bm]) = ([Ke]^.5){[Eg0]/([B0]^2)}([ue]/[Bm]) Cuulf12dkgrmM12r = [Electron gyromagnetic ratio]([Ke]^.5) f12dM12rscndtsla *24* ([Me]^-.5)([a0]^1.5)[2af]([ue]/[Bm]) k12mM32rscnd - 14.6844844 [w0] = [h]/(2[Q0]) Webr=M2trTsla=cuulJuulScnd = 1/[Jf] = [Q0][RK]/2 = [Q0][z0]/{4[aa]} f12dK12mMetr=ScndVltt *25* = ([Me]^.5)([a0]^.5)[Pi]([Ke]^.5) = Magnetic flux quantum - 15.1816343 [w0]/[Pi] = [hB]/[Q0] Webr=cuulJuulScnd = 1/([Jf][Pi]) f12dK12mMetr=ScndVltt *25* = ([Me]^.5)([a0]^.5)([Ke]^.5) = [Magnetic flux quantum]/[Pi] - 20.1584550 [w0]/{[Pi]([Ke]^.5)} F12dm12rWebr = [hB]/{[Q0]([Ke]^.5)} cuulF12dJuulm12rScnd = 1/([Jf][Pi][Ke]) K12mM12r=F12dm12rScndVltt *25* = ([Me]^.5)([a0]^.5) = [Magnetic flux quantum]/{[Pi]([Ke]^.5)} - 2.7263307 [d]/{[4Pi]([aa]^2)} = [Ke]/{[v0]^2} a2prNwtn = [Me][a0]/{[Q0]^2} = [PL][PM]/([aa]{[Q0]^2}) c2ulKgrmMetr = 1/{[10^7]([aa]^2)} = 1/{[c^2]([aa]^2)([4Pi][k])} Hnrymetr = [PL][PM][Ke]/([G]{[PM]^2}{[aa]^2}) fradmetrS2nd = [B0][RK]/{[2Pi][a0][Eg0]} = [B0][a0]/[i0] MetrOhmmTslavltt = [B0][w0]/{[Fe][Pi]} = [d][RK]/{[z0][2Pi][aa]} *26* = ([a0]^-2)([2af]^-2)[Ke] = [Fe]/{[i0]^2} = [AUN permeability] - 5.9007901 [d] = 1/([c^2][k]) = {[z0]^2}[k] a2prNwtn=Hnrymetr = 4[B0][w0]{[aa]^2}/[Fe] = [z0]/[c] nwtnTslaWebr=M2trnwtnT2la = [Fe][4Pi]{[aa]^2]/{[i0]^2} metrOhmmScnd=FradmetrO2mm = [4Pi]([aa]^2)[Ke]/([v0]^2) = [FBH]/{[PC]^2} fradmetrS2nd *26* = ([a0]^-2)([2af]^-2)[4Pi]([aa]^2)[Ke] = [Magnetic constant] - 12.6799721 ([v0]^-2) = [d]/{[4Pi]([aa]^2)[Ke]} FradHnrym2tr *26* = ([a0]^-2)([2af]^-2) = [AUN velocity]^-2 m2trS2nd - 3.4392630 [cQ] = [h]/(2[Me])= [A0][2af]/4 M2trscnd *27* = ([a0]^2)[2af][Pi] = [Quantum of circulation] - 3.9364128 [cQ]/[Pi] = ([a0]^2)[2af] = [a0][v0] M2trscnd = [A0][2af]/[4Pi] =[aa]{([A0]/[d])^.5}([Ke]^.5) = [u0]/[Q0] *27* = ([a0]^2)([2Pi][f0]) = [Quantum of circulation]/[Pi] - 0.7441541 [Pw0] = [4Pi][Rc][hB][c][2af] = [He][2af] Waat = [B0][E0][4Pi]{[aa]^2}{[a0]^2}/[d] HnryTslaVltt *28* = [Me]([a0]^2)([2af]^3) = AUN power + 8.0974942 [29H] = [H0][4Pi]([aa]^2) = [i0]/[a0] Amprmetr = [4Pi]([aa]^2)([B0]/[d]) FradMetrTslas2nd=hnryMetrTsla = [2Pi][a0][Eg0]/[RK] = [B0]([aa]^2)/([d][k][Ke] metrohmmVltt = [B0]([v0]^2)/[Ke] =[AUN magnetic field strength][4Pi]([aa]^2) *29* = ([Me]^.5)([a0]^.5)([2af]^2)/([Ke]^.5) F12dK12ms2nd + 11.2719536 [H0] = [B0]/[d] hnryMetrTsla=FradMetrs2ndTsla = [B0]([v0]^2)/{[4Pi][Ke]([aa]^2)} cuulhnryKgrmMetrscnd = [Fe]/([B0][4Pi]{[aa]^2}{[a0]^2}) m2trNwtntsla = [i0]/([4Pi]{[aa]^2}[a0]) Amprmetr=F12dK12ms2nd = [B0]([v0]^2)[k]}/([aa]^2) = AUN magnetic field strength *29* ={([Me][a0])^.5}([2af]^2)/{[4Pi]([aa]^2)([Ke]^.5)} + 13.0743148 [H0][4Pi]([aa]^2)([Ke]^.5) Amprf12dm12r = [B0]([v0]^2)/([Ke]^.5) FradMetrs2ndTsla = [AUN magnetic field strength][4Pi]([aa]^2)([Ke]^.5) *29* = ([Me]^.5)([a0]^.5)([2af]^2) K12mM12rs2nd + 13.4686576 [He]/([a0]^3) =([E0]^2)/[Ke] =[Fe]/{[a0]^2} Juulm3tr = ([He]^2)/([Ke]{([Q0][a0])^2}) = ([AUN electric field]^2)/[Ke] = ({[AUN magnetic field strength][4Pi]([aa]^2)}^2)[Ke]/([v0]^2)} *30* = [Me]([a0]^-1)([2af]^2) = [Ke]{([H0][4Pi]{[aa]^2})^2/([v0]^2)} + 23.4222990 [E0]^2 = ([He]^2)/{([Q0][a0])^2} fradJuulm2tr = ([Fe]/[Q0])^2 = {([Q0][Ke])/([a0]^2)}^2 = {[He]/([a0]^3)}[Ke] = {[Ke][H0][4Pi]([aa]^2)}^2/([v0]^2) = [Ke][He]/([a0]^3) = {[AUN magnetic field strength][4Pi]([aa]^2)[Ke]}^2/([v0]^2)} *30* = [Me]([a0]^-1)([2af]^2)[Ke] = [AUN elec field]^2 - 10.1744595 [G] = [hB][c]/{[PM]^2} = [c^2][PL]/[PM] k2rmM2trNwtn = {[PL]^3}{[Pf]^2}/[PM] = {[Pf]^2}/({[PB]^2}[k]) hnrykgrmM2tr = {[PQ]^2}/([k]{[PM]}^2) a2prC2ulk2rmM2trNwtns2nd = {[PQ]^2}[d][c^2]/{[PM]}^2) h2rykgrmM2trOhmmScnd = [Me][a0][c^2][aa]/{[PM}^2} Fradk2rmMetrOhmmWaat = {[Q0]^2}[Ke]/([aa]{[PM]^2}) A2prfradk2rmMetrS2nd = {[PC]^2}/({[PM]^2}{[Pf]^2}[k]) C2ulk3rmmetrS2ndV2tt = {[QeM]^2}[Ke]{[Fg]/[Fe]}{[Me]/[Mp]} fradMetrs2ndt2la = {[Ke]/[aa]}([2af][Me]/{[B0][PM]})^2 A2prk2rmnwtnW2br = [Ke]{[i0]^2}/({[PM]^2}{[2af]^2}[aa]) C2ulfradk2rmMetr = {[Q0]^2}/{({[Jf][Pi][PM]}^2)[aa][Me][a0]} Fradk2rmMetrV2tt = 4[Ke]({[Bm]/[hB]}^2)([Fg]/[Fe])([Me]/[Mp]) hnryk2rmMetrW2br = [Ke]({[2af]/[B0]}^2)([Fg]/[Fe])([Me]/[Mp]) Juulk2rmMetr = [Ke]({[Eg0]^2}/{[B0]^4})([Fg]/[Fe])([Me]/[Mp]) = {[Gye]^2}[Ke]({[Bm]/[ue]}^2)([Fg]/[Fe])([Me]/[Mp]) = ({[Eg0]^2}/{[B0]^4}){[Ke][Me][2af]/([PM][Pf]{[aa]^3})} *31* = ([Me]^-1)([a0]^3)([2af^2)([Fg]/[Fe])([Me]/[Mp]) kgrmM3trs2nd + 22.4904428 [QeM]^2 = ([Gye]^2)/{([ue]/[Bm])^2} C2ulk2rm = (2[Bm]/[hB])^2 =([2af]/[B0])^2 ={[Eg0]/([B0]^2)}^2 H2tzt2la = {[Q0]/[Me]}^2 = [G]([Fe]/[Fg])([Mp]/[Me])/[Ke] m4trt4laV2tt = [Jf][Pi]{[v0]^2}/[B0] = [H0][4Pi]{[aa]^2}[a0]/{[Me][B0]} = [4Pi][a0]{[aa]^2}/{[d][Me]} = [4Pi][Re]/{[d][Me]} hnrykgrmM2tr *31* = ([Me]^-1)([a0]^3)([2af]^2)/[Ke] FradkgrmM2trs2nd + 22.4914496 [Gye]^2 = {[QeM]([ue]/[Bm])}^2 C2ulk2rm=H2tzt2la = (2[ue]/[hB])^2 = {[2af]/[B0]([ue]/[Bm])}^2 FradkgrmM2trs2nd = {[G]([Fe]/[Fg])([Mp]/[Me])/[Ke]}{([ue]/[Bm])}^2 = {[Eg0]/([B0]^2)^2}{([ue]/[Bm])}^2 = [Electron gyromagnetic ratio]^2 *31* ={([Me]^-1)([a0]^3)([2af]^2)/[Ke]}{([ue]/[Bm])}^2 m4trt4laV2tt + 32.4440843 ([QeM]^2)[Ke] = [Ke]([Gye][Bm]/[ue])^2 kgrmM3trs2nd = [Ke](2[Bm]/[hB])^2 = [Ke]([2af]/[B0])^2 fradH2tzMetrt2la = [B0]{[2af]^2}{[a0]^4.5}/({[Ke]^.5}{[Me]^1.5} = {[v0]^2}[a0]/[Me] = [G][Fe][Mp]/{[Fg][Me]} k2rmM2trNwtn = [Ke]([Eg0]^2)/([B0]^4) = [Re][c^2]/[Me] C2ulfradk2rmMetr = 1/(Gresky's dielectric constant of free space) = {([Electron gyromagnetic ratio]^2)[Ke]}/{([ue]/[Bm])^2} = [c^2](Gresky's electronic constant of magnetic permeability) *31* = ([Me]^-1)([a0]^3)([2af]^2) + 32.4450910 ([Gye]^2)[Ke] = ([QeM]^2)[Ke]{([ue]/[Bm])^2} = 4[Ke]([ue]/[hB])^2 = [Ke]{([2af][ue])^2}/{([Bm][B0])^2} = {[G]([Fe]/[Fg])([Mp]/[Me]){([ue]/[Bm])^2} fradMetrs2ndt2la = [Ke]{([Eg0][ue])^2}/{([B0]^4)([Bm]^2)} C2ulfradk2rmMetr = [Ke]([Electron gyromagnetic ratio]^2) *31* = ([Me]^-1)([a0]^3)([2af]^2)([ue]/[Bm])^2 kgrmM3trs2nd - 29.3689688 ([w0]^2) =1/{[Jf]^2} =([hB][Pi])^2/([Q0]^2) V2ttS2nd = ([Pi]^2)[Ke][PM][PL]/[aa] W2br=c2ulJ2ulS2nd=fradKgrmM2tr *32* = [Me][a0]([Pi]^2)[Ke] = [Magnetic flux quantum]^2 - 30.3632686 {([w0])^2}/([Pi]^2) = ([hB]/[Q0])^2 W2br=c2ulJ2ulS2nd = [Ke][PM][PL]/[aa] = {[B0]^2}{[a0^4} fradKgrmM2tr=M4trT2la = {[PL]^3}[PM]{[Pf]^2}[d]/{[4Pi][aa]} HnryKgrmM2trs2nd *32* = [Me][a0][Ke] = ([Magnetic flux quantum]/[Pi])^2 - 40.3169100 ([w0]^2)/{([Pi]^2)[Ke]} = [PM][PL]/[aa] FradmetrW2br = [hB][RK]/{[2Pi][Ke]} = ([hB]^2)/{([Q0]^2)[Ke]} C2ulHnrymetr = ([Q0]^2)[d]/{[4Pi]([aa]^2)} c2ulFradJuulmetrScnd = {[PQ]^2}[d]/[aa] = [Rp][Mp]/{[2Pi][aa]} FradmetrOhmm=KgrmMetr *32* = [Me][a0] = ([Magnetic flux quantum]^2)/{([Pi]^2)[Ke]} - 44.5905793 [Me][Re] = [Me][a0]([aa]^2) = [PM][PL][aa] KgrmMetr = ([Q0]^2)[Ke]/[c^2] = ([Q0]^2)[d]/[4Pi] C2ulHnrymetr = [hB][aa/[c] = [aa][Rp][Mp]/[2Pi] *32* = [Me][a0]([v0]^2)[d]/([Ke][4Pi]) C2ulfradmetrS2nd + 0.7886856 ([B0]^2)/[Ke] = {([Me][2af]/[Q0])^2}/[Ke] FradmetrT2la *33* = [Me]([a0]^-3) =([AUN magnetic flux density]^2)/[Ke] Kgrmm3tr + 10.7423269 [B0]^2 = {[hB]/{[Q0]([a0]^2)}}^2 T2la = ([Me][2af]/[Q0])^2 c2ulK2rms2nd=fradKgrmm2tr *33* = {[Me]([a0]^-3)}[Ke] = [AUN magnetic flux density]^2 + 14.6844844 [Jf] = 2[Q0]/[h] = [G0]/[Q0] = 2/([RK][Q0]) Hrtzvltt = 4[aa]/([z0][Q0]) = [Q0]/{[hB][Pi]} F12dk12mmetr *34* = {([Me]^-.5)([a0]^-.5)}/{[Pi]([Ke]^.5)} = Josephson constant + 15.1816343 [Jf][Pi] = [Q0]/[hB] = [G0][Pi]/[Q0] Hrtzvltt = [4Pi][aa]/([z0][Q0]) = [2Pi]/([RK][Q0]) F12dk12mmetr *34* = {([Me]^-.5)([a0]^-.5)}/([Ke]^.5) = [Josephson constant][Pi] + 20.1584550 [Jf][Pi]([Ke]^.5) = {2[Q0]/[h]}[Pi]([Ke]^.5) k12mm12r *34* = {([Me]^-.5)([a0]^-.5)} = [Josephson constant][Pi]([Ke]^.5) + 2.5760306 [z0] = [d][c] = 2[aa][h]/([Q0]^2) Ohmm=Hnryscnd = [E0]/{[aa][H0]} = [d][E0]/{[aa][B0]} = 4[aa]/[G0] f12dH12y = 4[w0][aa]/[Q0] = 4[aa]/([Jf][Q0]) cuulWebr=amprVltt = ([v0]^-1)[4Pi][aa][Ke] = 1/{[c][k]} = 2[RK][aa] fradScnd = [Pw0][4Pi][aa]/{[i0]^2} = ([d]/[k])^.5 c2ulJuulScnd *35* = ([a0]^-1)([2af]^-1)[4Pi][aa][Ke] = impedance of vacuum + 3.6136553 [RK]/[2Pi] = [Pw0]/{[i0]^2} Ohmm=fradScnd=a2prWaat = [E0]/([H0][4Pi]{[aa]^2}) = [z0]/{[4Pi][aa]} amprVltt = 1/{[4Pi][aa][c]} = 1/[G0][Pi] MetrnwtnTslaVltt *35* = ([a0]^-1)([2af]^-1)[Ke] = [von Klitzing constant]/[2Pi] + 4.4118352 [RK] = [h]/([Q0]^2) = [z0]/(2[aa]) = 2/[G0] Ohmm = Hall resistance = ([v0]^-1)[2Pi][Ke] = 2[w0]/[Q0] fradScnd = ([d]/[k])^.5)/(2[aa]) = [d][c]/(2[aa]) f12dH12y=Hnryscnd = 2/([Jf][Q0]) = 1/(2[aa][c][k]) cuulWebr=amprVltt = [E0]/(2{[aa]^2}[H0]) = [d][E0]/(2{[aa]^2}[B0]) c2ulJuulScnd *35* = ([a0]^-1)([2af]^-1)[2Pi][Ke] = von Klitzing constant - 6.3399860 1/[v0] = [RK]/([2Pi][Ke]) metrScnd=FradmetrOhmm = [z0]/([4Pi][aa][Ke]) = 1/([Pi][G0][Ke]) cuulFradmetrWebr = {([d]/[k])^.5}/([4Pi][aa][Ke]) = [d][c]/([4Pi][aa][Ke]) = [w0]/([Pi][Q0][Ke]) = 1/([Pi][Jf][Q0][Ke]) amprFradmetrVltt = [hB]/{([Q0]^2)[Ke]} c2ulFradJuulmetrScnd=F12dH12ymetr *35* = ([a0]^-1)([2af]^-1) = [von Klitzing constant]/([2Pi][Ke]) + 12.6799721 [v0]^2 =[c^2]([aa]^2) =([aa]^2)/[d][k] M2trs2nd = [G][PM]([aa]^2)/[PL] Juulkgrm=A2prfradMetrnwtn = ([Q0]^2)[Ke][aa]/([PM][PL]) C2ulfradkgrm = [He]/[Me] = [PE][2af]/([Me][Pf]) kgrmScndWaat = ([aa]^2)[10^7]Metr/([k][4Pi]Hnry) fradhnryM2tr *36* = ([a0]^2)([2af]^2) = ([aa]^2)[4Pi][Ke]/[d] = [AUN velocity]^2 + 16.9536414 [c^2] = {[v0]/[aa]}^2 M2trs2nd=fradhnryM2tr = 1/([k][d]) = ([E0]/{[aa][B0]})^2 = [G][PM]/[PL] C2ulfradkgrm = ([Q0]^2)[Ke]/([aa][PM][PL]) = [PK][Bk]/[PM] A2prfradMetrnwtn *36* = ([a0]^2)([2af]^2)/([aa]^2) = ([AUN velocity]^2)/([aa]^2) =================================++================================= Rounded off to 7 decimal places and accurate to within .0000002 , using the CODATA 2010 values of the fundamental constants as seen Sept 30, 2012 at http://physics.nist.gov/constants in allascii.txt to correctly project Newtonian gravitational constant and Planck units values, here is the numerical value as a power of ten for : [2] + 0.3010300 [d ] - 5.9007901 [Lcn]+25.4292322 [PV]-103.7506794 [3] + 0.4771213 [E0] +11.7111495 [Ma] -26.1775275 [Pw0]- 0.7441541 [4] + 0.6020600 [Eg0]+21.9875484 [Md] -26.4757878 [PX] -17.7268723 [Pi] + 0.4971499 [f0] +15.8182050 [Me] -30.0405111 [q0] -29.0716885 [2Pi]+ 0.7981799 [FBH]+44.0817422 [Mh] -26.3004734 [Q0] -18.7952896 [4Pi]+ 1.0992099 [Fe] - 7.0841401 [Mm] -27.7250271 [qD0]-39.3480874 [18P]-40.7828380 [Fg] -46.4387750 [mma]- 2.9356722 [QD0]+12.0339070 [19P]-52.4939875 [Fge]-49.7026838 [Mn] -26.7760040 [QeM]+11.2452215 [20H]-64.2051370 [Fgp]-43.1748662 [Mp] -26.7766023 [Rc] + 7.0403543 [23M]-28.1028659 [FPC]+44.0817422 [Mt] -26.4992464 [Re] -14.5500682 [29H]+ 8.0974941 [FPQ]+42.9825322 [Mtt]-26.3003915 [Rgc]+ 0.9198342 [2af]+16.6163849 [FPX]+44.0817422 [Nm] -26.2966413 [RK] + 4.4118352 [a0] -10.2763989 [G ] -10.1744595 [p0] -23.7005250 [Rn] -14.8795607 [A0] -19.4535879 [G0] - 4.1108052 [PA] -68.4826355 [Rp] -14.8789625 [aa] - 2.1368347 [Gye]+11.2457248 [PB] +53.8813988 [Tc] -28.1770178 [aBH]+51.7445641 [Gyn]+ 8.2630373 [PC] +24.9912662 [Tp] -23.3557831 [ae] +22.9563709 [Gyp]+ 8.4273598 [PE] + 9.2908195 [u0] -22.7317025 [An] +23.7797510 [h ] -33.1787440 [Pf] +43.2677434 [ue] -23.0322291 [B0] + 5.3711635 [H0] +11.2719536 [phi]+ 0.2089876 [um] -25.3477103 [BHR]-27.1281008 [hB] -33.9769239 [PK] +32.1507363 [un] -26.0149166 [Bk] -22.8599168 [He] -17.3605390 [PL] -34.7909227 [up] -25.8505941 [Bm] -23.0327325 [Hu] -17.6028630 [PM] - 7.6628219 [v0] + 6.3399860 [c ] + 8.4768207 [i0] - 2.1789047 [Pp] + 0.8139988 [V0] -30.2071080 [c^2]+16.9536414 [Jf] +14.6844844 [PPw]+52.5585629 [vT0]+ 1.4347506 [cQ] - 3.4392630 [k ] -11.0528513 [PQ] -18.2764773 [w0] -14.6844844 [Cw] -11.6150537 [Ke] + 9.9536414 [Pu0]-44.5905793 [z0] + 2.5760306 [Me]/[Mp] = [Nm]/[Bm] = [Rp]/[Cw] = [aa][Rp]/{[Re][2Pi]} -3.2639088 [PX][PF] -25.5408711 [4Pi][aa] -1.0376248 [4Pi]{[aa]^2} -3.1744595 =================================++=================================