Fermion Index (original) (raw)

Definition

The Fermion Index calculated for each species is the sum of all fermion atomic isotopes in the mineral species' empirical formula. This calculation assumes the following:

  1. The overall contribution for each isotope in each mineral matches the natural abundance (no isotopic fractionation) of that element.
  2. Each unit cell is electrically neutral.
  3. Lattice effects on the position of each element are ignored.

Calculation of Fermion Index

The calculation of the fermion index is fairly straightforward, each element in the periodic table is generally composed of a mixture of isotopes. Each neutral isotope is either a fermion atom or a boson atom.

For each element, the fermion index is the sum of all fermion atomic isotopes times the natural abundance. See Example for:

Naturally Occurring Sodium (Na) Isotopes

Isotope Protons Neutrons Electrons Fermion/Boson % Natural Abundance Fermion Index
11Na23 11 12 11 (11+12+11=34) Boson 100.00 % 0.0
Fermion Index for Naturally Occurring Sodium 0.0

Naturally Occurring Barium (Ba) Isotopes

Isotope Protons Neutrons Electrons Fermion/Boson % Natural Abundance Fermion Index
56Ba130 56 74 56 (56+74+56=186) Boson 0.1060 % 0.0
56Ba132 56 76 56 (56+76+56=188) Boson 0.1010 % 0.0
56Ba134 56 78 56 (56+78+56=190) Boson 2.4170% 0.0
56Ba135 56 79 56 (56+79+56=191) Fermion 6.5920% 0.06592
56Ba137 56 81 56 (56+81+56=193) Fermion 11.2300% 0.11230
56Ba138 56 82 56 (56+82+56=194) Boson 71.7000% 0.0
Fermion Index for Naturally Occurring Barium 0.17822

For each mineral, the fermion index for each element is summed from the mineral's empirical formula and is presented in the Calculated Propertysection on the Mineral Species page. The boson index for each mineral is simply calculated as (1 - fermion index).

Table of Fermion Index Values for each Element

Element Symbol Fermion Index Boson Index Element Symbol Fermion Index Boson Index
Actinium Ac 0.0000 1.0000 Manganese Mn 0.0000 1.0000
Silver Ag 0.0000 1.0000 Molybdenum Mo 0.2547 0.7453
Aluminum Al 0.0000 1.0000 Nitrogen N 0.9963 0.0037
Americium Am 0.0000 1.0000 Sodium Na 0.0000 1.0000
Argon Ar 0.0000 1.0000 Niobium Nb 0.0000 1.0000
Arsenic As 0.0000 1.0000 Neodymium Nd 0.2048 0.7952
Astatine At 0.5290 0.4710 Neon Ne 0.0027 0.9973
Gold Au 0.0000 1.0000 Nickel Ni 0.0113 0.9887
Boron B 0.1990 0.8010 Nobelium No 0.0000 1.0000
Barium Ba 0.1782 0.8218 Neptunium Np 0.0000 1.0000
Beryllium Be 1.0000 0.0000 Oxygen O 0.0005 0.9995
Bismuth Bi 0.0000 1.0000 Osmium Os 0.1770 0.8230
Berkelium Bk 0.0000 1.0000 Phosphorus P 0.0000 1.0000
Bromine Br 0.0000 1.0000 Protactinium Pa 0.0000 1.0000
Carbon C 0.0110 0.9890 Lead Pb 0.2210 0.7790
Calcium Ca 0.0014 0.9987 Palladium Pd 0.2233 0.7767
Cadmium Cd 0.2503 0.7497 Promethium Pm 0.0000 1.0000
Cerium Ce 0.0000 1.0000 Polonium Po 0.0000 1.0000
Calfornium Cf 0.0000 1.0000 Praeseodymium Pr 0.0000 1.0000
Chlorine Cl 0.0000 1.0000 Platinum Pt 0.3380 0.6620
Curium Cm 0.0000 1.0000 Plutonium Pu 0.0000 1.0000
Cobalt Co 0.0000 1.0000 Radium Ra 0.0000 1.0000
Chromium Cr 0.0950 0.9050 Rubidium Rb 0.0000 1.0000
Cesium Cs 0.0000 1.0000 Rhenium Re 0.0000 1.0000
Copper Cu 0.0000 1.0000 Rare Earth Elements REE 0.1861 0.8139
Dysprosium Dy 0.4380 0.5620 Rhodium Rh 0.0000 1.0000
Erbium Er 0.2295 0.7705 Radon Rn 0.0000 1.0000
Einsteinium Es 0.0000 1.0000 Ruthenium Ru 0.2980 0.7020
Europium Eu 0.0000 1.0000 Sulfur S 0.0075 0.9925
Fluorine F 0.0000 1.0000 Antimony Sb 0.0000 1.0000
Iron Fe 0.0212 0.9788 Scandium Sc 0.0000 1.0000
Fermium Fm 0.0000 1.0000 Selenium Se 0.0760 0.9240
Francium Fr 0.0000 1.0000 Silicon Si 0.0467 0.9533
Gallium Ga 0.0000 1.0000 Samarium Sm 0.2880 0.7120
Gadolinium Gd 0.6935 0.3065 Tin Sn 0.1662 0.8338
Germanium Ge 0.0780 0.9220 Strontium Sr 0.0700 0.9300
Hydrogen H 0.0002 0.9999 Tantalum Ta 0.0001 0.9999
Helium He 0.0000 1.0000 Terbium Tb 0.0000 1.0000
Hafnium Hf 0.3223 0.6777 Technetium Tc 0.0000 1.0000
Mercury Hg 0.3020 0.6980 Tellurium Te 0.0799 0.9201
Holmium Ho 0.0000 1.0000 Thorium Th 0.0000 1.0000
Iodine I 0.0000 1.0000 Titanium Ti 0.1293 0.8707
Indium In 0.0000 1.0000 Thallium Tl 0.0000 1.0000
Iridium Ir 0.0000 1.0000 Thulium Tm 0.0000 1.0000
Potassium K 0.0001 0.9999 Uranium U 0.0072 0.9928
Krypton Kr 0.1185 0.8815 Vanadium V 0.0025 0.9975
Lanthanum La 0.0009 0.9991 Tungsten W 0.1428 0.8572
Lithium Li 0.0750 0.9250 Xenon Xe 0.4760 0.5240
Lawrencium Lr 0.0000 1.0000 Yttrium Y 0.0000 1.0000
Lutetium Lu 0.0259 0.9741 Ytterbium Yb 0.3050 0.6950
Mendelevium Md 0.0000 1.0000 Zinc Zn 0.0410 0.9590
Magnesium Mg 0.1000 0.9000 Zirconium Zr 0.1122 0.8878

Other References to Fermion Index

There are additional references to the Fermion Index. Caution: Some of these references are based on _pseudo_-scientific principles.

ORMUS(orbitally rearranged monatomic elements)
Fermion Atomsor Fermi Condensate
Boson Atomsor Bose Condensate

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