Garry Denke Posted June 11, 2005 Share Posted June 11, 2005 Abstract: hbar=e^2/e0c hbar=[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=[2.5669696(36) x 10^-38 A^2-s^2]/[2.6544187(29) x 10^-3 A^2-s^3/kg-m^2-sr] hbar=[9.6705527(59) x 10^-36 kg-m^2-sr/s] Introduction: Planck constant: h = 6.6260693(11) x 10^-34 kg-m^2/s speed of light in vacuum: c = 2.99792458 x 10^8 m/s Newtonian constant: G = 6.6723635(22) x 10^-11 m^3/kg-s^2 Boltzmann constant: k = 1.3806504(11) x 10^-23 kg-m^2/s^2-K elementary charge: e = 1.6021765(31) x 10^-19 A-s electric constant: e0 = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-sr molar mass: M = 3.2858629(47) x 10^19 kg/kmol dielectric constant: ke = 1.4594705(10) x 10^-2 sr fine-structure constant: a = 7.2973525(68) x 10^-3 rad Derivation: 1) temperature: [(hc^5/G)^1/2]/k = 3.5518626(92) x 10^32 K 2) electric current: e/[(hG/c^5)^1/2] = 1.1857531(48) x 10^24 A 3) dielectric constant: e^2/(e0hc) = 1.4594705(14) x 10^-2 sr 4) fine-structure constant: e^2/(2e0hc) = 7.2973525(68) x 10^-3 rad 5) mass: (hc/G)^1/2 = 5.4563031(18) x 10^-8 kg 6) amount of substance: [(hc/G)^1/2]/M = 1.6605388(62) x 10^-27 kmol 7) length: (hG/c^3)^1/2 = 4.0507625(15) x 10^-35 m 8) luminous intensity: [(hG/c^5)^1/2]/ke = 9.2580762(94) x 10^-42 cd 9) time: (hG/c^5)^1/2 = 1.3511889(33) x 10^-43 s Conclusion: 001) radiance = 1.5154964(57) x 10^123 kg/s^3-sr 002) irradiance = 2.2118223(93) x 10^121 kg/s^3 003) radiant density = 7.3778453(51) x 10^112 kg/m-s^2 004) density = 1.5044912(03) x 10^103 /m^3 005) mass density = 8.2089600(41) x 10^95 kg/m^3 006) i. luminous efficacy = 2.6860106(85) x 10^95 kg-m^2/cd-sr-s^3 007) electric current density = 7.2263787(71) x 10^92 A/m^2 008) thermal transfer = 6.2272181(80) x 10^88 kg/s^3-K 009) electric charge density = 2.4104604(96) x 10^84 A-s/m^3 010) angular acceleration = 3.9969910(02) x 10^83 rad/s^2 011) surface tension = 2.9885899(39) x 10^78 kg/s^2 012) molar concentration = 2.4982661(10) x 10^76 kmol/m^3 013) dynamic viscosity = 9.9688629(88) x 10^69 kg/m-s 014) inverse area = 6.0943365(69) x 10^68 /m^2 015) electric field strength = 7.5560138(75) x 10^62 kg-m/A-s^3 016) surface density = 3.3252547(62) x 10^61 kg/m^2 017) absorbed dose rate = 6.6515877(76) x 10^59 m^2/s^3 018) magnetic field strength = 2.9272344(25) x 10^58 A/m 019) thermal conductivity = 2.5224981(98) x 10^54 kg-m/s^3-K 020) magnetic flux density = 2.5204149(31) x 10^54 kg/A-s^2 021) radiant intensity = 2.4867291(78) x 10^54 kg-m^2/s^3-sr 022) power = 3.6293079(12) x 10^52 kg-m^2/s^3 023) field acceleration = 2.2187308(58) x 10^51 m/s^2 024) electric flux density = 9.7642030(22) x 10^49 A-s/m^2 025) force = 1.2106068(10) x 10^44 kg-m/s^2 026) frequency = 7.4008895(10) x 10^42 /s 027) surface concentration = 1.0119882(71) x 10^42 kmol/m^2 028) inverse luminous intensity = 1.0801379(99) x 10^41 /cd 029) angular velocity = 5.4006900(07) x 10^40 rad/s 030) molar energy = 2.9531863(41) x 10^36 kg-m^2/s^2-kmol 031) mass flow rate = 4.0381496(51) x 10^35 kg/s 032) wave number = 2.4686710(13) x 10^34 /m 033) temperature = 3.5518626(92) x 10^32 K 034) electric conductivity = 9.5637447(08) x 10^29 A^2-s^3/kg-m^3 035) electric potential = 3.0607617(77) x 10^28 kg-m^2/A-s^3 036) luminance = 5.6421832(93) x 10^27 cd/m^2 037) mass field = 1.3469817(34) x 10^27 kg/m 038) Avogadro constant = 6.0221415(04) x 10^26 /kmol 039) luminous flux density = 8.2346001(27) x 10^25 cd-sr/m^2 040) electric current = 1.1857531(48) x 10^24 A 041) thermal conductance = 1.0218041(14) x 10^20 kg-m^2/s^3-K 042) magnetic potential = 1.0209602(33) x 10^20 kg-m/A-s^2 043) molar mass = 3.2858629(47) x 10^19 kg/kmol 044) displacement = 4.4930474(34) x 10^18 kg-s/m^2 045) luminous density = 2.7467669(40) x 10^17 cd-sr-s/m^3 046) absorbed dose = 8.987551787… x 10^16 m^2/s^2 047) electric displacement = 3.9552467(59) x 10^15 A-s/m 048) Josephson quantum = 4.8359787(85) x 10^14 A-s^2-sr/kg-m^2-rad 049) Josephson constant = 2.4179893(93) x 10^14 A-s^2/kg-m^2 050) Coulomb constant = 7.7384850(15) x 10^12 kg-m^3/A^2-s^4 051) energy = 4.9038806(85) x 10^9 kg-m^2/s^2 052) speed of light in vacuum = 2.99792458 x 10^8 m/s 053) Faraday constant = 9.6485337(83) x 10^7 A-s/kmol 054) inverse mass = 1.8327427(53) x 10^7 /kg 055) von Klitzing constant = 2.5812807(51) x 10^4 kg-m^2/A^2-s^3 056) i. conductance q. = 1.2906403(76) x 10^4 kg-m^2-rad/A^2-s^3-sr 057) molar gas constant = 8.3144721(42) x 10^3 kg-m^2/s^2-kmol-K 058) impedance of vacuum = 3.767303134… x 10^2 kg-m^2-sr/A^2-s^3 059) inverse fine-structure constant = 1.3703599(91) x 10^2 /rad 060) relative permeability = 6.8517999(54) x 10^1 /sr 061) momentum = 1.6357585(24) x 10^1 kg-m/s 062) spin two = 2.0000000 x 10^0 sr/rad 063) spin one = 1.0000000 x 10^0 rad/rad, sr/sr 064) spin one-half = 5.0000000 x 10^-1 rad/sr 065) dielectric constant = 1.4594705(14) x 10^-2 sr 066) second radiation = 1.4387752(25) x 10^-2 m-K 067) fine-structure constant = 7.2973525(68) x 10^-3 rad 068) magnetic permeability = 8.6102257(82) x 10^-5 kg-m/A^2-s^2 069) conductance q. = 7.7480917(13) x 10^-5 A^2-s^3-sr/kg-m^2-rad 070) electric conductance = 3.8740458(57) x 10^-5 A^2-s^3/kg-m^2 071) magnetic constant = 1.256637061... x 10^-6 kg-m-sr/A^2-s^2 072) molar Planck constant = 3.9903127(01) x 10^-7 kg-m^2/s-kmol 073) mass = 5.4563031(18) x 10^-8 kg 074) radiant distribution = 3.335640952... x 10^-9 s/m 075) Stefan-Boltzmann constant = 1.3897144(61) x 10^-9 kg/s^3-K^4 076) density of states = 2.0392013(27) x 10^-10 s^2/kg-m^2 077) Newtonian constant = 6.6723635(22) x 10^-11 m^3/kg-s^2 078) magnetic pole strength = 4.8032044(04) x 10^-11 A-m 079) electric constant = 8.854187817... x 10^-12 A^2-s^4/kg-m^3-sr 080) magnetic exposure = 2.9363774(27) x 10^-12 A-s/kg 081) electric permittivity = 1.2922426(01) x 10^-13 A^2-s^4/kg-m^3 082) magnetic flux = 4.1356674(39) x 10^-15 kg-m^2/A-s^2 083) magnetic flux q. = 2.0678337(20) x 10^-15 kg-m^2-rad/A-s^2-sr 084) specific heat = 2.5303770(36) x 10^-16 m^2/s^2-K 085) first radiation = 1.1910428(22) x 10^-16 kg-m^4-sr/s^3-rad 086) radiation = 5.9552141(09) x 10^-17 kg-m^4/s^3 087) elementary charge = 1.6021765(31) x 10^-19 A-s 088) molality = 3.0433405(66) x 10^-20 kmol/kg 089) thermal resistance = 9.7866116(02) x 10^-21 s^3-K/kg-m^2 090) Boltzmann constant = 1.3806504(11) x 10^-23 kg-m^2/s^2-K 091) inverse electric current = 8.4334585(30) x 10^-25 /A 092) kinematic viscosity = 1.2143880(51) x 10^-26 m^2/s 093) amount of substance = 1.6605388(62) x 10^-27 kmol 094) electric resistivity = 1.0456155(31) x 10^-30 kg-m^3/A^2-s^3 095) relative expansion = 2.8154241(50) x 10^-33 /K 096) Planck constant = 6.6260693(11) x 10^-34 kg-m^2/s 097) length = 4.0507625(15) x 10^-35 m 098) reduced Planck constant = 9.6705527(59) x 10^-36 kg-m^2-sr/s 099) absorption-emission = 2.4763817(25) x 10^-36 s/kg 100) inductance = 3.4877979(84) x 10^-39 kg-m^2/A^2-s^2 101) luminous intensity = 9.2580762(94) x 10^-42 cd 102) moment = 2.2102188(14) x 10^-42 kg-m 103) luminous flux = 1.3511889(33) x 10^-43 cd-sr 104) time = 1.3511889(33) x 10^-43 s 105) magnetic moment = 1.9456640(35) x 10^-45 A-m^2 106) capacitance = 5.234567901... x 10^-48 A^2-s^4/kg-m^2 107) electric moment = 6.4900366(34) x 10^-54 A-s-m 108) area = 1.6408676(95) x 10^-69 m^2 109) fluidity = 1.0031234(27) x 10^-70 m-s/kg 110) inertial moment = 8.9530715(22) x 10^-77 kg-m^2 111) molar volume = 4.0027761(50) x 10^-77 m^3/kmol 112) electric charge volume = 4.1485848(93) x 10^-85 m^3/A-s 113) luminous energy = 1.8257115(33) x 10^-86 cd-sr-s 114) electric current volume = 1.3838189(66) x 10^-93 m^2/A 115) luminous efficacy = 3.7229933(79) x 10^-96 cd-sr-s^3/kg-m^2 116) mass volume = 1.2181811(03) x 10^-96 m^3/kg 117) volume = 6.6467653(52) x 10^-104 m^3 118) radiant volume = 1.3554092(73) x 10^-113 m-s^2/kg 119) inverse irradiance = 4.5211586(75) x 10^-122 s^3/kg 120) inverse radiance = 6.5984977(75) x 10^-124 s^3-sr/kg Bibliography: http://physics.nist.gov/cuu/Constants/ Link to comment Share on other sites More sharing options...
Nylex Posted June 11, 2005 Share Posted June 11, 2005 Oh God, not again. Link to comment Share on other sites More sharing options...
Dave Posted June 11, 2005 Share Posted June 11, 2005 This is just all rubbish. Link to comment Share on other sites More sharing options...
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