Table of Selected Physical and Chemical Constants with
Relational ±3.66  ±1.366 Fractal Values
(Approximate Range 1.356  1.385)
By
©20092014 Charles William Johnson
charlesjohnson@earthmatrix.com
Physical  Chemical Constant 
Complementary Information 
Values 
Earth/matriX Absolute Thermodynamic Temperature Scale 
The thermodynamic temperature reflects the 1.3661 ratio between the boiling and freezing points of water. 
1.3661 ratio 
Ionization Energy of Hydrogen 
Ground State of 1H. The energy needed for the electron to no longer be bound to the atom. 
13.6 eV 
Solar Constant Range 1338 to 1368 Wm^{2} 
The solar constant [Commission for Instruments and Methods of Observation in 1981 adopted the World Radiation Center (WRC) solar constant] 
1.367 w/m^{2} 
Earth/matriX Absolute Thermodynamic Temperature Scale 
The sum of the boiling [136.6] and freezing points [100.0] of water. 
2.3661 ratio 
Inverse FineStructure Constant 
The FineStructure Constant and the Inverse FineStructure Constant are 7.297352568 and 137.03599911 respectively 
137.03599911 
Hartree Energy 
Hartree energy 
13.60569805 
Rydberg Constant 
Rydberg constant 13.6056981[same as Hartree energy half value] 
13.6056981 
CoreMantle Boundary 
136 Gigapascals of pressure at the Coremantle boundary 
136 Gigapascals 
Newtonian Constant of Gravitation 
The Newtonian Constant of Gravitation: 
6.6742 is a multiple of 13668.7616 
Sidereal Year of Earth 
The Sidereal DayCount of Earth: 
365.256 is a reciprocal multiple of .0013689254 
Velocity of Light 
The Speed of Light is a reciprocal of: 
1.366278534 
Refractive Index of Light 
The Refractive Index of Light: 
1.3669 
Electron to Alpha Particle Mass Ratio 
The Electron to Alpha Particle Mass Ratio is given as a constant value: 
1.370933555 
Boltzmann Constant 
The Boltzmann Constant and/or the KelvinJoule Relationship is: 
1.3806505 
Living Cells 
"Living cells typically have a refractive index of between 1.33 and 1.38." Approximately 1.36 is the average of these two cited values. 
1.36 
Vacuocentric Solar System 
The Solar Matrix 
0.136  2.136  4.136 
Electrons in Shells of Atoms 
Maximum number of electrons in shells of an atom ratio for shells 6 and 7 
1.3611111111 
Special Right Triangle 
Side Measurements of 15  75  90 Special right triangle 
0.366  1.366  Ö2 
Oxygen Content 
The amount of oxygen bound per gram of hemoglobin [varies from 1.34 – 1.39 due to method of measurement] 
Given as 1.36 ml at one atmosphere 
Radioactive Decay 
The radioactive decay constant for Radium 
1.36 x 10^{22} 
Photon Energy 
True Photon Energy Constant 
1.366 GeV 
GammaRadiation Stability 
Minimum cell size for gammaradiation stability is about 100 Si atoms 
1.36 nm x 1.36 nm 
SingleWalled Carbon Nanotubes SWNT 
Shape equation gives optimum diameter 
1.36 nm 
Caloric absorption 
Approximate number of calories absorbed for each 0.01 gram of hydrogen which unites with oxygen 
1.36 
Hardness approximation 
Where k is a constant that depends on the Pauling electronegativity scale; k is the force constant of the bond; electronegativity is the power of an atom in a molecule to attract electrons to itself. 
k = 1.36 
Chromosomal Base Pairs DNA/RNA 
A = Adenine 76 protonsT = Thymine 66 protons C = Cytosine 58 protons G = Guanine 78 protons U = Uracil 55 protons 
AT = 142 protons GC = 136 protons AU = 131 protons 
Mercury Element 80Hg 
Specific Gravity 
13.6 
Radium Element 
Electronegativity 
1.36 
Neutron mass/proton mass ratio 1.001378344 
Multiplied times 1.366025404 math unit ratio 
1.36790 Solar constant 
Muon mass 1.134289256 
Divided by Atomic Mass Unit u 1.660538782 
0.683085074 x 2 = 1.366170147 
Speed of light in vacuo 2.99792458 
Multiplied times 0.366025404 
= 1.097316556; Rydberg constant = 10973731.6m1 
Ancient Maya Companion Number 1366560  1385540 
Maya Long Count 
Fractals 1.366560  1.385540 
Precession [theoretically projected] 
26000 years times 365.256 EarthSidereal days 
9.496,656 days 
Earth Year 
Orbital period 
Common year 365 days; Sidereal year 365.256; days Leap Year 366 days 
Sun 
Sun's Axial Rotation

Equatorial regions period 36 days; Polar regions period 25.6 days 
Ancient Mesoamerican Reckoning Time System 
Maya & Aztec Day Calendars 
360 days/year, plus 5 days; 260 days/year 
Neutron Stars 
Neutronstar binaries  mass 
1.36±0, 08M_{sun} 
Fine Structure Constant 
Eddington Number 
1/136 1/137 Revised 
Special Right Triangle 
Measurements 157590Special right triangle 
0.3661.3661 
Difference between boilingfreezing points of water 
Earth/matriX Absolute Thermodynamic Temperature Scale BPW = 136.61; FPW = 100.00 
0.3661 
Relation of mean circumference of Earth to equatorial circumference of Earth's moon 
40030.2 divided by 109.16Earth mean circumference / Moon Equatorial circumference 
3.6671 
Equatorial circumference of the Sun Commonly cited measurement for the diameter of the Sun 1391684 kilometers 
Commonly cited value1391684 multiplied times pi = 4372104 
4366813 kilometers 4372104 doubles to 3.6676 
Derived measurement for the Sun's circumference 
4372104 derives 3.667586659 fractal 
3.6676 halves to 3.335650 3.335650 reciprocal = 299792 [~ c] 
Measurement of Weights 
Pounds = Kilograms 
31 lbs. = 1.36 Kg 
Range of the Iron Peak of Nuclear FusionFission 
Elements26Iron, 27Cobalt, 28Nickel 
1 / 26 = 0.038461538 1 / 27 = 0.037037037037 1 / 28 = 0.035714285 
Von Klitzing constant 
2.5812807557 / 2 = 1.290603779 
1.290603779 halves to… 3.668116558… 1.366479903 
Fractal Math Constant 
Unit 1.01.366025404  0.366025404 
1.366025404 times 0.366025404 = 0.5, 1.0 
Age of the Universe 
Estimated 
13.6  13.84 billion years 
Measurement of Length 
Angstroms and Nanometers 
1.36 Angstrom = 0.136 nanometers 
Ratio of Elements by Atomic Weight 
56Barium 136.2452192Uranium 236.15384 (92  56 = 36; 36 elements = Fractal Unit 1.00) 
236.15384 / 136.24521 1.733300129 ~ ( Square root of 3) 
Pi divided by the Diametian 
3.141592654 / 1.141592654 
2.751938393 halves to 1.375969196 
K = constant which is the same for all gases at constant pressure 
2.7315 
1 / 2.7315 0.366099212 
Kuiper Belt 
Range 30  50 Astronomical Units 
50 / 30 = 1.8333 1.8333 doubles to 0.366 
Mean Asteroid Belt  Mean Kuiper Belt 
433833881  6357910325 
433833881 / 6357910325 = 0.068235294 doubles to 0.136470588 
Popular Proposed Definition of the Kilogram 
"…the mass of a body at rest whose equivalent energy equals the energy of photons whose frequencies sum 135.639,274 x1042Hz" 
1.35639274 fractal 
Average Solar Constant 
"Based on data collected over 25 years from terrestrial to space observations, the actual best estimate of the average solar constant is Gsc = 1366.1 Wm^{2} "(Gueymard, 2004) 
1366.1 Wm^{2} 
Fine Structure Constant 0.729735257 
Maya Long Count Period1872000 
1872000 times 0.729735257 equals 1366.064388 
An aside: Maya Companion Fraction 151840 1366560 / 9 = 151840 
Neutronproton mass difference energy equivalent 2.30557392e30 
151840 squared equals 2.30553856 
Maya Reckoning Number 13 
Neutronproton mass difference energy equivalent 2.30557392e30 
13 times 2.3057392 equals 29.9724609 (~c) 
Planck Constant in eVs 6.58211899 (doubles to 1.3164237) 
Divided by Planck constant hbar (c) inMeV fm 1.973269631 
Reciprocal of speed of light in vacuo 3.335640952 
Speed of Light in a vacuum 2.99792458 
Divided by 1.366025404 Fractal Math Unit Factor 
2.194633109 / 2 1.097316555 Rydberg constant 10973731.568 
Square root of three 1.732050808 
Times 1.366025404Fractal Math Unit Factor 
2.366025404 Critical Point of Water 
Planck Energy 1.9561 
Times Planck Implied Mass 3.487 
6.8209207 x 2 = 13.6418414 
a) Planck constant 6.885 in 1899 b) Planck constant 6.55 in 1900 [Background information] 
a) Doubles to…b) Doubles to ... 
a ) 13.77 b) 13.1 
Natural Unit of Momentum 
2.7309249 e22 
2.7309249 halves to 1.36546 
Electron mass 9.1093891 
Times speed of light in vacuo2.99792458 
27.30926149 / 2 13.65463075 
First Radiation Constant 3.741736091 
Times Planck Mass 2.17644 
8.143664098 doubles to 33356.44814 ~ Reciprocal of speed of light 
Square root of the speed of light in a vacuum 299792.458 
Square root of 299792.458 equals 547.5330657 kms 
547.5330657 / 2 273.7665328 136.8832664 
Cosmic Microwave Background Radiation 2.725^{o} above absolute zero. 
Reciprocal 0.366972477 
2.725 / 2 = 1.3625 
NO (Nitrogen=Oxygen) single bond length. "The NO bond lengths are 118 and 136 pm." (Consider: 118 x 2 = 236) 
Sum covalent radii singly bonded nitrogen ( r  70 pm ) and oxygen ( r = 66 pm ) (pm = picometer) 
136 pm 
HCl bond length CF (single) bond length 
The bonds C1C2, C3C4, C5C6 and C7C8 are in length about 
136 pm 
31Gallium atomic radius 
 
136 pm 
Valence shell orbital radii for 26Iron (Consider the Iron Peak for Nuclear Fusion & Fission) 
s Orbital for 26Iron 
136.6 pm 
25Manganese exception atomic number sequence 
Atomic radius of Manganese 
136.6 pm 
Quantum of Circulation 
3.6369 e4 m^2 s^1 
Reciprocal = 0.274959443 0.137479721 
Critical Point of Water (E. L. Nichols,The Elements of Physics, Macmilan, 1914) 
The ratio of standard steam (S = 373) temperature to ice (I  273) temperature has been found by the air thermometer to be (S/I) 
1.367 absolute temperature 
Critical Temperature of Water. Phase boundary between liquid and gas terminates: 647.096 Kelvin 
647.096 / 2.7315 
236.901 Earth/matriX scale 
Lattice Parameter of Silicon 
543.1020504 e12 m 
Halves to 271.5510252 135.7755126 
Atomic Unit of Electron Potential 
27.21138505 V 
27.21138505 / 2 = 13.60569253 
DeuteronElectron Mass Ratio 3670.4829652 
3.34358348 / 9.10938291 = 3670.4829652 
Reciprocal = 0.000272443 
Electron to Alpha Particle Mass Ratio 
1.37093355578 e4 
Reciprocal = 0.729429953 
Electron voltHartree Relationship (See Atomic Unit of Electron Potential) 
3.674932379 e2 E_h 
Reciprocal = 0.27211385 eV 
Atomic Packing Factor (APF) (Packing Fraction) 
Diamond Cubic = 0.34 Simple Cubic = 0.52 BodyCentered Cubic = 0.68 FaceCentered Cubic = 0.74 
0.34, 0.68 doubles to 1.36 
Earth/matriX 
©20092014 Copyrighted byCharles William Johnson. All rights reserved. 
P.O. Box 231126 New Orleans, LA 701831126 
Observation
The numerical values cited in the selected constants provided on the list are not to be dismissed as being randomly coincidental Rather, one must begin to consider their material relationships in spacetime/motion. Consider a most intriguing, yet understandable, relationship in the Packing Fractions.
Divide the FaceCentered Cubic value (0.74) by the Diamond Cubic (0.34):
74 / 34 = 2.1764705 { Nearly exact Planck Mass numerical value offered today}.
Innumerable other examples of material relationships exist among the cited constants. It is a question of flexing one’s imagination to comprehend possible relationships of matterenergy in spacetime/motion, from the ancient past to our immediate present.
Earth/matriX
17 November 2009 ©2009 29 November 2014 © 2014 Updated Copyrighted by Charles William Johnson. All rights reserved. Earth/matriX Editions, P.O. Box 231126 New Orleans, LA 701831126 Email: charlesjohnson@earthmatrix.com
