Garry Denke Posted June 6, 2005 Report Posted June 6, 2005 hbar=e^2*z0 ; hbar=e^2/e0*c ; hbar=e^2*u0*c Garry W. Denke, Geologist/GeophysicistCopyright © 1st April 2002All rights reserved Abstract: hbar = e^2*z0hbar = [(1.6021765(31) x 10^-19 A-s)^2] * (3.767303134... x 10^2 kg-m^2-sr/A^2-s^3)hbar = 9.6705527(59) x 10^-36 kg-m^2-sr/s hbar = e^2/e0*chbar = [(1.6021765(31) x 10^-19 A-s)^2] / (8.854187817... x 10^-12 A^2-s^4/kg-m^3-sr) * (2.99792458 x 10^8 m/s)hbar = 9.6705527(59) x 10^-36 kg-m^2-sr/s hbar = e^2*u0*chbar = [(1.6021765(31) x 10^-19 A-s)^2] * (1.256637061... x 10^-6 kg-m-sr/A^2-s^2) * (2.99792458 x 10^8 m/s)hbar = 9.6705527(59) x 10^-36 kg-m^2-sr/s Introduction: reduced Planck constant: hbar = 9.6705527(59) x 10^-36 kg-m^2-sr/selementary charge: e = 1.6021765(31) x 10^-19 A-simpedance of vacuum: z0 = 3.767303134... x 10^2 kg-m^2-sr/A^2-s^3electric constant: e0 = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-srspeed of light in vacuum: c = 2.99792458 x 10^8 m/smagnetic constant: u0 = 1.256637061... x 10^-6 kg-m-sr/A^2-s^2Newtonian constant: G = 6.6723635(22) x 10^-11 m^3/kg-s^2Boltzmann constant: k = 1.3806504(11) x 10^-23 kg-m^2/s^2-KPlanck constant: h = 6.6260693(11) x 10^-34 kg-m^2/smolar mass: M = 3.2858629(47) x 10^16 kg/moldielectric constant: ke = 1.4594705(10) x 10^-2 sr Derivation: 1) temperature: [(h*c^5/G)^1/2]/k = 3.5518626(92) x 10^32 K2) electric current: e/[(h*G/c^5)^1/2] = 1.1857531(48) x 10^24 A3) dielectric constant: e^2/(e0*h*c) = 1.4594705(14) x 10^-2 sr4) fine-structure constant: e^2/(2*e0*h*c) = 7.2973525(68) x 10^-3 rad5) mass: (h*c/G)^1/2 = 5.4563031(18) x 10^-8 kg6) amount of substance: [(h*c/G)^1/2]/M = 1.6605388(62) x 10^-24 mol7) length: (h*G/c^3)^1/2 = 4.0507625(15) x 10^-35 m8) luminous intensity: [(h*G/c^5)^1/2]/ke = 9.2580762(94) x 10^-42 cd9) time: (h*G/c^5)^1/2 = 1.3511889(33) x 10^-43 s Conclusion: 001) radiance = 1.5154964(57) x 10^123 kg/s^3-sr002) irradiance = 2.2118223(93) x 10^121 kg/s^3003) radiant density = 7.3778453(51) x 10^112 kg/m-s^2004) density = 1.5044912(03) x 10^103 /m^3005) mass density = 8.2089600(41) x 10^95 kg/m^3006) inverse luminous efficacy = 2.6860106(85) x 10^95 kg-m^2/cd-sr-s^3007) electric current density = 7.2263787(71) x 10^92 A/m^2008) thermal transfer = 6.2272181(80) x 10^88 kg/s^3-K009) electric charge density = 2.4104604(96) x 10^84 A-s/m^3010) angular acceleration = 3.9969910(02) x 10^83 rad/s^2011) molar concentration = 2.4982661(10) x 10^79 mol/m^3012) surface tension = 2.9885899(39) x 10^78 kg/s^2013) dynamic viscosity = 9.9688629(88) x 10^69 kg/m-s014) inverse area = 6.0943365(69) x 10^68 /m^2015) electric field strength = 7.5560138(75) x 10^62 kg-m/A-s^3016) surface density = 3.3252547(62) x 10^61 kg/m^2017) absorbed dose rate = 6.6515877(76) x 10^59 m^2/s^3018) magnetic field strength = 2.9272344(25) x 10^58 A/m019) thermal conductivity = 2.5224981(98) x 10^54 kg-m/s^3-K020) magnetic flux density = 2.5204149(31) x 10^54 kg/A-s^2021) radiant intensity = 2.4867291(78) x 10^54 kg-m^2/s^3-sr022) power = 3.6293079(12) x 10^52 kg-m^2/s^3023) field acceleration = 2.2187308(58) x 10^51 m/s^2024) electric flux density = 9.7642030(22) x 10^49 A-s/m^2025) surface concentration = 1.0119882(71) x 10^45 mol/m^2026) force = 1.2106068(10) x 10^44 kg-m/s^2027) frequency = 7.4008895(10) x 10^42 /s028) inverse luminous intensity = 1.0801379(99) x 10^41 /cd029) angular velocity = 5.4006900(07) x 10^40 rad/s030) mass flow rate = 4.0381496(51) x 10^35 kg/s031) wave number = 2.4686710(13) x 10^34 /m032) molar energy = 2.9531863(41) x 10^33 kg-m^2/s^2-mol033) temperature = 3.5518626(92) x 10^32 K034) electric conductivity = 9.5637447(08) x 10^29 A^2-s^3/kg-m^3035) electric potential = 3.0607617(77) x 10^28 kg-m^2/A-s^3036) luminance = 5.6421832(93) x 10^27 cd/m^2037) mass field = 1.3469817(34) x 10^27 kg/m038) luminous flux density = 8.2346001(27) x 10^25 cd-sr/m^2039) electric current = 1.1857531(48) x 10^24 A040) Avogadro constant = 6.0221415(04) x 10^23 /mol041) thermal conductance = 1.0218041(14) x 10^20 kg-m^2/s^3-K042) magnetic potential = 1.0209602(33) x 10^20 kg-m/A-s^2043) displacement = 4.4930474(34) x 10^18 kg-s/m^2044) luminous density = 2.7467669(40) x 10^17 cd-sr-s/m^3045) absorbed dose = 8.987551787… x 10^16 m^2/s^2046) molar mass = 3.2858629(47) x 10^16 kg/mol047) electric displacement = 3.9552467(59) x 10^15 A-s/m048) Josephson quantum = 4.8359787(85) x 10^14 A-s^2-sr/kg-m^2-rad049) Josephson constant = 2.4179893(93) x 10^14 A-s^2/kg-m^2050) Coulomb constant = 8.987551788... x 10^9 kg-m^3-sr/A^2-s^4-(4pi)051) energy = 4.9038806(85) x 10^9 kg-m^2/s^2052) speed of light in vacuum = 2.99792458 x 10^8 m/s053) inverse mass = 1.8327427(53) x 10^7 /kg054) Faraday constant = 9.6485337(83) x 10^4 A-s/mol055) von Klitzing constant = 2.5812807(51) x 10^4 kg-m^2/A^2-s^3056) inverse conductance quantum = 1.2906403(76) x 10^4 kg-m^2-rad/A^2-s^3-sr057) impedance of vacuum = 3.767303134… x 10^2 kg-m^2-sr/A^2-s^3058) inverse fine-structure constant = 1.3703599(91) x 10^2 /rad059) relative permeability = 6.8517999(54) x 10^1 /sr060) momentum = 1.6357585(24) x 10^1 kg-m/s061) molar gas constant = 8.3144721(42) x 10^0 kg-m^2/s^2-mol-K062) spin two = 2.00000000 x 10^0 sr/rad063) spin one = 1.00000000 x 10^0 rad/rad, sr/sr064) spin one-half = 5.00000000 x 10^-1 rad/sr065) dielectric constant = 1.4594705(14) x 10^-2 sr066) second radiation = 1.4387752(25) x 10^-2 m-K067) fine-structure constant = 7.2973525(68) x 10^-3 rad068) magnetic permeability = 8.6102257(82) x 10^-5 kg-m/A^2-s^2069) conductance quantum = 7.7480917(13) x 10^-5 A^2-s^3-sr/kg-m^2-rad070) electric conductance = 3.8740458(57) x 10^-5 A^2-s^3/kg-m^2071) magnetic constant = 1.256637061... x 10^-6 kg-m-sr/A^2-s^2072) mass = 5.4563031(18) x 10^-8 kg073) radiant distribution = 3.335640952... x 10^-9 s/m074) Stefan-Boltzmann constant = 1.3897144(61) x 10^-9 kg/s^3-K^4075) molar Planck constant = 3.9903127(01) x 10^-10 kg-m^2/s-mol076) density of states = 2.0392013(27) x 10^-10 s^2/kg-m^2077) Newtonian constant = 6.6723635(22) x 10^-11 m^3/kg-s^2078) magnetic pole strength = 4.8032044(04) x 10^-11 A-m079) electric constant = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-sr080) magnetic exposure = 2.9363774(27) x 10^-12 A-s/kg081) electric permittivity = 1.2922426(01) x 10^-13 A^2-s^4/kg-m^3082) magnetic flux = 4.1356674(39) x 10^-15 kg-m^2/A-s^2083) magnetic flux quantum = 2.0678337(20) x 10^-15 kg-m^2-rad/A-s^2-sr084) specific heat = 2.5303770(36) x 10^-16 m^2/s^2-K085) first radiation spectral radiance = 1.1910428(22) x 10^-16 kg-m^4-sr/s^3-rad086) first radiation = 5.9552141(09) x 10^-17 kg-m^4-rad-(4pi)/s^3-sr087) molality = 3.0433405(66) x 10^-17 mol/kg088) elementary charge = 1.6021765(31) x 10^-19 A-s089) thermal resistance = 9.7866116(02) x 10^-21 s^3-K/kg-m^2090) Boltzmann constant = 1.3806504(11) x 10^-23 kg-m^2/s^2-K091) amount of substance = 1.6605388(62) x 10^-24 mol092) inverse electric current = 8.4334585(30) x 10^-25 /A093) kinematic viscosity = 1.2143880(51) x 10^-26 m^2/s094) electric resistivity = 1.0456155(31) x 10^-30 kg-m^3/A^2-s^3095) relative expansion = 2.8154241(50) x 10^-33 /K096) Planck constant = 6.6260693(11) x 10^-34 kg-m^2/s097) length = 4.0507625(15) x 10^-35 m098) reduced Planck constant = 9.6705527(59) x 10^-36 kg-m^2-sr/s099) absorption-emission = 2.4763817(25) x 10^-36 s/kg100) inductance = 3.4877979(84) x 10^-39 kg-m^2/A^2-s^2101) luminous intensity = 9.2580762(94) x 10^-42 cd102) moment = 2.2102188(14) x 10^-42 kg-m103) luminous flux = 1.3511889(33) x 10^-43 cd-sr104) time = 1.3511889(33) x 10^-43 s105) magnetic moment = 1.9456640(35) x 10^-45 A-m^2106) capacitance = 5.234567901... x 10^-48 A^2-s^4/kg-m^2107) electric moment = 6.4900366(34) x 10^-54 A-s-m108) area = 1.6408676(95) x 10^-69 m^2109) fluidity = 1.0031234(27) x 10^-70 m-s/kg110) inertial moment = 8.9530715(22) x 10^-77 kg-m^2111) molar volume = 4.0027761(50) x 10^-80 m^3/mol112) electric charge volume = 4.1485848(93) x 10^-85 m^3/A-s113) luminous energy = 1.8257115(33) x 10^-86 cd-sr-s114) electric current volume = 1.3838189(66) x 10^-93 m^2/A115) luminous efficacy = 3.7229933(79) x 10^-96 cd-sr-s^3/kg-m^2116) mass volume = 1.2181811(03) x 10^-96 m^3/kg117) volume = 6.6467653(52) x 10^-104 m^3118) radiant volume = 1.3554092(73) x 10^-113 m-s^2/kg119) inverse irradiance = 4.5211586(75) x 10^-122 s^3/kg120) inverse radiance = 6.5984977(75) x 10^-124 s^3-sr/kg Bibliography: 1. Whilhelm Frederick Denke, Sr "H-BAR" (1888) GDG2. William Herman Denke, Sr "H-Bar" (1947) GDG3. http://physics.nist.gov/cuu/Constants Quote
UncleAl Posted June 8, 2005 Report Posted June 8, 2005 This idiot has spammed bulletin boards and sci.physics (where he got his ears pinned back but good) with this trash. Ban him and purge his spam. Quote
infamous Posted June 8, 2005 Report Posted June 8, 2005 This idiot has spammed bulletin boards and sci.physics (where he got his ears pinned back but good) with this trash. Ban him and purge his spam. I agree Uncle, What's this guy trying to prove anyway??? Quote
sanctus Posted June 8, 2005 Report Posted June 8, 2005 As an admin: Even if you are right uncle al (that he spammed elsewhere), you are not supposed to insult him (calling him an idiot). This is a reminder. Quote
Garry Denke Posted June 8, 2005 Author Report Posted June 8, 2005 so um...what's that supposed to mean?hbar=e^2/e0c means Dirac's constant is in error, orbsycli. Garry Denke Quote
Qfwfq Posted June 8, 2005 Report Posted June 8, 2005 I agree with Sanctus, Uncle Al. hbar=e^2/e0c means Dirac's constant is in errorWhat is Dirac's constant, Garry? Quote
Garry Denke Posted June 8, 2005 Author Report Posted June 8, 2005 What is Dirac's constant, Garry?The reduced Planck constant, Qfwfq. Planck invented hbar=h/(2 pi)e^2/e0c shows hbar=e^2/e0c Uncle Al is mad because Planck's error, the reduced Planck constant,also known as Dirac's constant, affects his theories containing hbar. Planck's error is not my fault, Qfwfq. Garry Denke Quote
infamous Posted June 8, 2005 Report Posted June 8, 2005 The reduced Planck constant, Qfwfq. Planck invented hbar=h/(2 pi)e^2/e0c shows hbar=e^2/e0c Uncle Al is mad because Planck's error, the reduced Planck constant,also known as Dirac's constant, affects his theories containing hbar. Planck's error is not my fault, Qfwfq. Garry Denke Why do you show e= 1.6021765 E-19 when it should be (1.6021765 E-19 times c, 2.99792458E+8 (10E-20) or in simpler terms: 4.80320431085E-10 esu. Also; the fine structure constant = e^2/h-bar*c (4.803043108 E-10^2) = 2.3069223097 E-19 The fine structure = 7.297325 E-3 =( 2.3069223097 E-19 / h-bar * 2.99792458 E+10 ) h-bar= (2.3069223097 E-19/(2.99792458 E+10 * 7.297325 E-3) h-bar = 1.05450483969 E-27 (cgs units) These figures diverge from CODATA slightly, but I chose to use the figures you gave in fairness to you. Quote
Garry Denke Posted June 8, 2005 Author Report Posted June 8, 2005 Why do you show e= 1.6021765 E-19 when it should be (1.6021765 E-19times c, 2.99792458E+8 (10E-20) or in simpler terms: 4.80320431085E-10 esu.Because, infamous, e =http://physics.nist.gov/cgi-bin/cuu/Value?e|search_for=elecmag_in!and Coulomb © is A-s Garry Denke Quote
Garry Denke Posted June 8, 2005 Author Report Posted June 8, 2005 I agree Uncle, What's this guy trying to prove anyway???In short the dielectric constant is in steradians e/e0=keelectric permittivity: e = 1.2922426(01) x 10^-13 A^2-s^4/kg-m^3electric constant: e0 = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-srdielectric constant: ke = 1.4594705(14) x 10^-2 sr because the magnetic constant is in steradians u/u0=kmmagnetic permeability: u = 8.6102257(82) x 10^-5 kg-m/A^2-s^2magnetic constant: u0 = 1.256637061... x 10^-6 kg-m-sr/A^2-s^2relative permeability: km = 6.8517999(54) x 10^1 /sr and electromagnetically ke times km = 1 unity. hbar=e^2/e0creduced Planck constant: hbar = 9.6705527(59) x 10^-36 kg-m^2-sr/selementary charge: e = 1.6021765(31) x 10^-19 A-selectric constant: e0 = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-srspeed of light in vacuum: c = 2.99792458 x 10^8 m/s h=e^2/e0c kePlanck constant: h = 6.6260693(11) x 10^-34 kg-m^2/selementary charge: e = 1.6021765(31) x 10^-19 A-selectric constant: e0 = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-srspeed of light in vacuum: c = 2.99792458 x 10^8 m/sdielectric constant: ke = 1.4594705(10) x 10^-2 sr I hope this helps, infamous. Garry Denke Quote
infamous Posted June 8, 2005 Report Posted June 8, 2005 In short the dielectric constant is in steradians e/e0=keelectric permittivity: e = 1.2922426(01) x 10^-13 A^2-s^4/kg-m^3electric constant: e0 = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-srdielectric constant: ke = 1.4594705(14) x 10^-2 sr because the magnetic constant is in steradians u/u0=kmmagnetic permeability: u = 8.6102257(82) x 10^-5 kg-m/A^2-s^2magnetic constant: u0 = 1.256637061... x 10^-6 kg-m-sr/A^2-s^2relative permeability: km = 6.8517999(54) x 10^1 /sr and electromagnetically ke times km = 1 unity. hbar=e^2/e0creduced Planck constant: hbar = 9.6705527(59) x 10^-36 kg-m^2-sr/selementary charge: e = 1.6021765(31) x 10^-19 A-selectric constant: e0 = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-srspeed of light in vacuum: c = 2.99792458 x 10^8 m/s h=e^2/e0c kePlanck constant: h = 6.6260693(11) x 10^-34 kg-m^2/selementary charge: e = 1.6021765(31) x 10^-19 A-selectric constant: e0 = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-srspeed of light in vacuum: c = 2.99792458 x 10^8 m/sdielectric constant: ke = 1.4594705(10) x 10^-2 sr I hope this helps, infamous. Garry Denke Are you saying that h-bar is not equal to h/2pi, if you are, I must disagree. Let e= 1.60217733E-20 emu,times 2.99792458E+10 (cm X sec.^-1)=(4.8032068E-10 esu) Solve: e^2/h-bar*c = fine structure constant Are you saying that e^2 does not equal (4.8032068E-10)^2, if you are, I must disagree. For: e^2/(a * c) = h-bar For: 2.307079556E-19/(7.29735308E-3 * 2.99792458E+10) = (1.05457266E-27) Quote
Dark Mind Posted June 9, 2005 Report Posted June 9, 2005 Can't wait to get to college so I can understand this stuff :hyper:, way over my head. I must be the youngest Moderator of a science forum ever :rant:. Oh well, I'll learn eventually :eek:. Quote
Qfwfq Posted June 9, 2005 Report Posted June 9, 2005 Don't worry to much Dark Mind, most of the definitions of these constants are more technical than scientific. Some of it is more of historical interest. I'll have a go now at figuring what scientific point Garry is trying to make... Planck invented hbar=h/(2 pi)e^2/e0c shows hbar=e^2/e0cPlanck defined Planck's constant h and then, in the early QM days, it proved useful to define hbar simply to save a bit of ink here and there. Even more ink can be saved by choosing units in which hbar = 1. Why do you say that Planck invented hbar? Uncle Al is mad because Planck's error, the reduced Planck constant,also known as Dirac's constant, affects his theories containing hbar.Why do you call the reduced Planck constant "Planck's error"? Why does hbar=e^2/e0c mean that it's in error? I did not mean it's your fault, anyway. Quote
nkt Posted June 9, 2005 Report Posted June 9, 2005 I have no idea what the point of posting the OP was. It isn't a proof, nor is it even useful, and is will only serve to confuse people looking for the true values of those constants he has changed slightly. Planck is pretty unlikely to be wrong, and if he had been, the various proofs would fail at various stages too. I remember we covered this and determined the values for h and hbar in various classes at uni, both experimentally and theoretically. h is used all over the place, and h(bar) is simply a mathematical construct to save ink, as Infamous correctly states.h(bar) MUST be h/2PI, as this is its definition! E = hν and λ = h / p are pretty exactly known. This led directly to the development of our complete quantum theory of matter, quantum mechanics. h appears in the Shrodinger Equation of non-relativistic quantum mechanics, and the Dirac Equation of relativistic quantum mechanics. In quantum mechanical analysis, it turns out that the quantity most often used is h/2PI, and this is given the special symbol h(bar). If, as a construct, it was wrong, then the deviance from theory would have been spotted in the experimental results for things such as laser interferometry, which is about as accurate as things get in the real world. I agree with Al. If the guy isn't an idiot, then, he is even worse, and doing this on purpose. :hyper: Quote
infamous Posted June 9, 2005 Report Posted June 9, 2005 I agree with Al. If the guy isn't an idiot, then, he is even worse, and doing this on purpose. :hyper: Thank you nkt for that well defined response, I believe however that he is neither an idiot nor is he purposely trying to mislead anyone. What he is, simply put is, mistaken. He has failed to understand that : e=1.60217733E-20 (emu) must be multiplyed by c= 2.99792458E+10 to equal 4.8032068E-10 (esu). Quote
sanctus Posted June 9, 2005 Report Posted June 9, 2005 Nkt, same reminder to you as to uncle al. Quote
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