| TOP 70 EQUATIONS | ||||||||||||||
| ONLY with physical constants | ( based upon the constants involved and NOT how close the results are to NIST) | |||||||||||||
| top 30 | ||||||||||||||
| inv perm vacuum | 8 | p | Planck / 2 pi | -3 | 1 | -1 | 7 | p | 1st rad spctral rad | 1.19366207318922 | 1.1910427223 | 0.00261935 | ||
| Bohr radius | 9 | p | light | -1 | 0 | -1 | 5 | p | a u charge | 1.59154943091896 | 1.5864333599 | 0.00511607 | ||
| * | fine structure | 9 | p | ion conversion squared | 2 | 3 | 2 | 4 | p | a u charge density | 1.06591727531765 | 1.1217558004 | -0.05583853 | * |
| * | Josephson | 9 | p | Rydberg x hc - in eV | 3.5 | -0.5 | 0 | 5 | p | a u current | 6.53197264742182 | 6.5796839166 | -0.04771127 | * |
| light | 9 | p | classical electron radius | -2 | -1 | -2 | 3 | p | a u dipole moment | 8.44343197019481 | 8.3950437661 | 0.04838820 | ||
| * | char imp vacuum | 9 | p | Rydberg x hc - in eV | 1.5 | -0.5 | 1 | 5 | p | a u elec field | 5.13019932064746 | 5.1256765071 | 0.00452281 | * |
| magnetic flux quantum | 9 | p | perm vc-el constant | -6 | -3 | -1 | 3 | p | a u magn dipol moment | 1.84207110060064 | 1.8308987387 | 0.01117236 | ||
| inv perm vacuum | 9 | p | magnetic flux quantum | -2 | 1 | 1 | 5 | p | a u magn flux density | 2.35619449019234 | 2.3354300575 | 0.02076443 | ||
| light squared | 9 | p | von Klitzing | -2 | 1 | 1 | 5 | p | a u magn flux density | 2.35619449019234 | 2.3199394480 | 0.03625504 | ||
| * | perm vc-el constant | 9 | p | perm vc-el constant | -4 | -4 | -2 | 9 | p | a u magnetizability | 7.81799256499520 | 7.8396641899 | -0.02167162 | * |
| light | 9 | p | Planck | -4 | 0 | -1 | 5 | p | a u momentum | 1.98943678864869 | 1.9864454404 | 0.00299135 | ||
| fine structure | 4 | p | Planck mass | 0 | 1.5 | -1 | 8 | p | amu | 1.65398668626538 | 1.5884147259 | 0.06557196 | ||
| a u momentum | 7 | p | molar gas | 0 | 1.5 | -1 | 8 | p | amu | 1.65398668626538 | 1.6569508080 | -0.00296412 | ||
| Rydberg x hc - in eV | 2 | p | Loschmidt constant | 0 | -3 | 2 | 9 | p | Avagadro squared | 3.65540903744050 | 3.6555466385 | -0.00013760 | ||
| Boltzmann | 6 | p | Compton / 2 pi | -1 | -1 | -1 | 9 | p | Bohr radius | 5.30516476972985 | 5.3315142558 | -0.02634949 | ||
| * | light | 9 | p | permeability of vacuum | 2 | 1 | 1 | 9 | p | char imp vacuum | 3.76991118430775 | 3.7673031346 | 0.00260805 | * |
| permeability of vacuum | 5 | p | molar volume - ideal gas | -2 | -2 | -2 | 9 | p | classical electron radius | 2.81447732339827 | 2.8166258068 | -0.00214848 | ||
| amu | 4 | p | Planck length | -2 | -2 | -2 | 9 | p | classical electron radius | 2.81447732339827 | 2.6834305877 | 0.13104674 | ||
| inv perm vacuum | 8 | p | Newtonian gravitational | 3 | 1 | 1 | 9 | p | conductance quantum | 7.53982236861550 | 7.5365467041 | 0.00327566 | ||
| light squared | 3 | p | standard atmosphere | 0 | 2 | -2 | 9 | p | electron mass (kg) | 9.11890652781040 | 9.1066368482 | 0.01226968 | ||
| a u force | 9 | p | Bohr radius | -0.5 | -1.5 | -1 | 9 | p | Hartree energy | 4.33164889574263 | 4.3597438074 | -0.02809491 | ||
| a u current | 9 | p | Planck | -0.5 | -1.5 | -1 | 9 | p | Hartree energy | 4.33164889574263 | 4.3888545194 | -0.05720562 | ||
| Newtonian gravitational | 7 | p | classical electron radius | -1 | -3 | -2 | 9 | p | Hartree squared | 1.87631821559885 | 1.8804115522 | -0.00409334 | ||
| * | Boltzmann | 9 | p | Rydberg x hc - in eV | -1 | -3 | -2 | 9 | p | Hartree squared | 1.87631821559885 | 1.8784702355 | -0.00215202 | * |
| Rydberg x hc squared | 3 | p | standard atmosphere | -1 | -3 | -2 | 9 | p | Hartree squared | 1.87631821559885 | 1.8756761893 | 0.00064203 | ||
| * | char imp vacuum | 9 | p | light | 2 | 2 | 1 | 9 | p | inv perm vacuum | 1.13097335529232 | 1.1294090669 | 0.00156429 | * |
| * | light squared | 9 | p | permeability of vacuum | 2 | 2 | 1 | 9 | p | inv perm vacuum | 1.13097335529232 | 1.1294090667 | 0.00156429 | * |
| a u magn flux density | 9 | p | Josephson | 2 | 2 | 1 | 9 | p | inv perm vacuum | 1.13097335529232 | 1.1367052492 | -0.00573189 | ||
| Avagadro | 4 | p | Planck mass | -3 | -2 | 2 | 8 | p | inverse fine structure | 1.37077838904019 | 1.3108396470 | 0.05993874 | ||
| * | electron mass (kg) | 9 | p | Rydberg x hc - in eV | -0.5 | 0.5 | -2 | 9 | p | ion conversion | 1.24092600029278 | 1.2393944162 | 0.00153158 | * |
| a u polarization | 9 | p | conductance quantum | -0.5 | 0.5 | -2 | 9 | p | ion conversion | 1.24092600029278 | 1.2774877327 | -0.03656173 | ||
| * | Boltzmann | 8 | p | light squared | -0.5 | 0.5 | -2 | 9 | p | ion conversion | 1.24092600029278 | 1.2408666071 | 0.00005939 | * |
| * | a u charge density | 8 | p | inverse fine structure | -1 | 1 | 4 | 9 | p | ion conversion squared | 1.46113636551004 | 1.4816363373 | -0.02049997 | * |
| n u energy | 9 | p | Avagadro squared | 0 | 1 | 0 | 9 | p | light | 3.00000000000000 | 2.9691510827 | 0.03084892 | ||
| a u charge density | 7 | p | classical electron radius | 0 | 1 | 0 | 9 | p | light | 3.00000000000000 | 3.0467634751 | -0.04676348 | ||
| * | 1st rad spctral rad | 9 | p | conductance quantum | 0 | 2 | 0 | 8 | p | light squared | 9.00000000000000 | 9.2283082239 | -0.22830822 | * |
| * | Rydberg constant | 4 | p | n u energy | 0 | 2 | 0 | 8 | p | light squared | 9.00000000000000 | 8.9843083168 | 0.01569168 | * |
| * | a u magn flux density | 9 | p | perm vc-el constant | -4 | -1 | 0 | 9 | p | magnetic flux quantum | 2.08333333333333 | 2.0811922075 | 0.00214113 | * |
| a u magn dipol moment | 9 | p | inv perm vacuum | -4 | -1 | 0 | 9 | p | magnetic flux quantum | 2.08333333333333 | 2.0948299693 | -0.01149664 | ||
| * | 1st rad spctral rad | 9 | p | Hartree squared | -4 | -2 | -3 | 5 | p | molar volume - ideal gas | 2.23968989119016 | 2.2382077952 | 0.00148210 | * |
| * | perm vc-el constant | 9 | p | Rydberg x hc - in eV | -2.5 | -3.5 | -1 | 5 | p | molar volume of Si | 1.20323580437295 | 1.2046734987 | -0.00143769 | * |
| electron mass (kg) | 8 | p | light squared | 0 | 4 | -2 | 4 | p | n u energy | 8.20701587502936 | 8.1871041394 | 0.01991174 | ||
| * | von Klitzing squared | 9 | p | Hartree squared | -5 | -5 | 0 | 3 | p | n. u. time | 1.28600823045267 | 1.2521130788 | 0.03389515 | * |
| conductance quantum | 9 | p | perm vc-el constant | 1 | -1 | 0 | 8 | p | Newtonian gravitational | 6.66666666666667 | 6.8603059100 | -0.19363924 | ||
| * | Bohr radius | 9 | p | permeability of vacuum | 1 | -1 | 0 | 8 | p | Newtonian gravitational | 6.66666666666667 | 6.6498369202 | 0.01682975 | * |
| a u magnetizabilty | 9 | p | inv perm vacuum | -2 | -2 | -1 | 9 | p | perm vc-el constant | 8.84194128288308 | 8.9122080695 | -0.07026679 | ||
| a u magn dipol moment | 9 | p | Josephson | -2 | -2 | -1 | 9 | p | perm vc-el constant | 8.84194128288308 | 8.9697825120 | -0.12784123 | ||
| ** | Josephson | 9 | p | von Klitzing | 2 | 0 | 1 | 9 | p | permeability of vacuum | 1.25663706143592 | 1.2483019482 | 0.00833511 | ** |
| * | a u magn flux density | 7 | p | classical electron radius | -4 | -1 | -1 | 9 | p | Planck | 6.63145596216231 | 6.6236175283 | 0.00783843 | * |
| * | 1st rad spctral rad | 9 | p | perm vc-el constant | -5 | -1 | -2 | 8 | p | Planck / 2 pi | 1.05542899627435 | 1.0545715959 | 0.00085740 | * |
| * | a u momentum | 9 | p | Bohr radius | -5 | -1 | -2 | 8 | p | Planck / 2 pi | 1.05542899627435 | 1.0545715986 | 0.00085740 | * |
| a u time | 9 | p | Hartree energy | -5 | -1 | -2 | 8 | p | Planck / 2 pi | 1.05542899627435 | 1.0485801516 | 0.00684884 | ||
| Avagadro | 9 | p | classical electron radius | -2 | -3.5 | -1 | 4 | p | Planck length | 1.70163239327714 | 1.6863714954 | 0.01526090 | ||
| amu | 8 | p | inverse fine structure | -3 | -0.5 | 1 | 4 | p | Planck mass | 2.26724920529277 | 2.2755358142 | -0.00828661 | ||
| proton mass kg | 9 | p | Rydberg constant | 2.5 | -1 | 4 | 6 | p | proton mass/electron mass | 1.83676343518296 | 1.8354900237 | 0.00127341 | ||
| Hartree energy | 8 | p | proton mass kg | 2 | -0.5 | 1 | 6 | p | quantum of circul x 2 | 7.25519745693685 | 7.2507716482 | 0.00442581 | ||
| a u elec field gradient | 9 | p | permittivity vac squared | -1.5 | -3.5 | 0 | 6 | p | radiation constant | 7.56015352710854 | 7.6180851208 | -0.05793159 | ||
| ion conversion | 9 | p | Rydberg constant | -0.5 | -1.5 | 0 | 9 | p | rd volume/area | 1.36082763487954 | 1.3605698126 | 0.00025782 | ||
| inv perm vacuum | 5 | p | molar volume of Si | -0.5 | -1.5 | 0 | 9 | p | rd volume/area | 1.36082763487954 | 1.3619359732 | -0.00110834 | ||
| * | light | 9 | p | Avagadro squared | 0 | -2 | 2 | 9 | p | Rydberg constant | 1.09662271123215 | 1.0872331487 | 0.00938956 | * |
| ** | Rydberg x hc - in eV | 9 | p | wavenumber/photon energy | 0 | -2 | 2 | 9 | p | Rydberg constant | 1.09662271123215 | 1.0973731569 | -0.00075045 | ** |
| Newtonian gravitational | 5 | p | Schrodinger constant | 0 | -2 | 2 | 9 | p | Rydberg constant | 1.09662271123215 | 1.0931701927 | 0.00345252 | ||
| ** | ion conversion | 9 | p | Rydberg constant | -0.5 | -1.5 | 0 | 9 | p | Rydberg x hc - in eV | 1.36082763487954 | 1.3605698126 | 0.00025782 | ** |
| * | a u current | 9 | p | magnetic flux quantum | -0.5 | -1.5 | 0 | 9 | p | Rydberg x hc - in eV | 1.36082763487954 | 1.3696539121 | -0.00882628 | * |
| * | inv perm vacuum | 5 | p | molar volume of Si | -0.5 | -1.5 | 0 | 9 | p | Rydberg x hc - in eV | 1.36082763487954 | 1.3619359732 | -0.00110834 | * |
| quantum circulation | 4 | p | Planck time | -1 | -3 | 0 | 9 | p | Rydberg x hc squared | 1.85185185185185 | 1.9554933703 | -0.10364152 | ||
| ** | magnetic flux quantum | 9 | p | permeability of vacuum | -2 | -1 | 1 | 9 | p | von Klitzing | 2.61799387799149 | 2.5985163839 | 0.01947749 | ** |
| ** | first radiation | 9 | p | Rydberg x hc squared | -4 | -2 | 2 | 9 | p | von Klitzing squared | 6.85389194520094 | 6.9265737988 | -0.07268185 | ** |
| * | a u velocity | 8 | p | first radiation | 0.5 | -0.5 | 2 | 9 | p | wavenumber/photon energy | 8.05849824859872 | 8.1858398406 | -0.12734159 | * |
| light | 2 | p | Loschmidt constant | 0.5 | -0.5 | 2 | 9 | p | wavenumber/photon energy | 8.05849824859872 | 8.0547563082 | 0.00374194 | ||