System for and method of affecting molecules and atoms with electromagnetic radiation

Information

  • Patent Grant
  • 10329164
  • Patent Number
    10,329,164
  • Date Filed
    Friday, July 27, 2007
    17 years ago
  • Date Issued
    Tuesday, June 25, 2019
    5 years ago
  • Inventors
  • Original Assignees
    • (Asheville, NC, US)
  • Examiners
    • Smith; Nicholas A
    • Raphael; Colleen M
    Agents
    • Hershkovitz & Associates, PLLC
    • Hershkovitz; Abe
Abstract
A system for and method of cleaving a bond between a first atom and a second atom in a molecule of a material are presented. One embodiment of the technique includes selecting a first electromagnetic radiation frequency, the first electromagnetic radiation frequency including a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom. Such an embodiment further includes directing a first electromagnetic radiation at the material, where the first electromagnetic radiation has a frequency equal to the first electromagnetic radiation frequency, and where the first electromagnetic radiation frequency is sufficient to cleave the bond between the first atom and the second atom.
Description
FIELD OF THE INVENTION

The invention provides a method for selectively affecting targeted atoms and/or molecules by exposing the atoms and/or molecules to a frequency or frequencies of electromagnetic radiation selected for the targeted atom or molecule.


BACKGROUND OF THE INVENTION

Prior to this invention, a specific technique for determining targeted electromagnetic radiation frequencies for affecting the atoms or molecules was unknown.


The molecules that make up compositions of matter may be held together via chemical bonds, such as ionic bonds, covalent bonds, and hydrogen bonds. Cleavage of these bonds is of interest to scientists and manufacturers, but effective methods of such cleavage have encountered numerous obstacles.


Liu et al., Science 312, 1024 (2006) report resonant photodesorption of hydrogen from a Si(111) surface using tunable infrared radiation. According to Liu et al., selective bond cleavage by vibration excitation is typically thwarted by energy thermalization. Tully, J. C., Science 312, 1004 (2006) reports that the main impediment to IR mode-selective chemistry is that vibrational energy tends to be redistributed rapidly within a molecule.


SUMMARY OF THE INVENTION

According to an embodiment of the present invention, a method of breaking (also referred to herein as “cleaving” or “dissociating”) a bond between a first atom and a second atom in a molecule of a material is presented. A first electromagnetic radiation frequency, the first electromagnetic radiation frequency comprising a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom is selected. A first electromagnetic radiation is directed at the material, the first electromagnetic radiation having a frequency equal to the first electromagnetic radiation frequency. The first electromagnetic radiation frequency is sufficient to break the bond between the first atom and the second atom.


Various optional features of the above embodiment include the following. The material may be a liquid and the liquid may be caused to cavitate. The first electromagnetic radiation frequency may further comprise a power of the golden mean, the power being a positive integer. The first electromagnetic radiation frequency (ν1) may be defined by the equation ν1=Afr·Φn·e·10m, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer. A second electromagnetic radiation frequency may be selected, the second electromagnetic radiation frequency comprising a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom. A second electromagnetic radiation may be directed at the material, the second electromagnetic radiation having a frequency equal to the second electromagnetic radiation frequency, where the first electromagnetic radiation frequency and the second electromagnetic radiation frequency are sufficient to break the bond between the first atom and the second atom. The second electromagnetic radiation frequency (ν2) may be defined by the equation ν2=Bfr·Φj·e·10k, where Bfr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, j is an integer, and k is an integer. The term Afr may be associated with the first atom and Bfr may be associated with the second atom. The terms Afr and Bfr may be different. The terms Afr and Bfr may be the same or different; m and k may be the same or different; and n and j may be the same or different. The material may be irradiated with a second electromagnetic radiation frequency (ν″) defined by the equation ν″=Afr·Φx·e−Lt·10y, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, t is equal to n, x is an integer, and y is an integer. The material may be irradiated with a second electromagnetic radiation frequency (ν′″) defined by the equation ν′″=(Afr·Φa·L−1)·10be−L, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, a is an integer, and b is an integer. The method may comprise irradiation of a material with at least one frequency according to at least one of each of ν1, ν2, ν″ and ν′″. The material may be irradiated with a first and a second electromagnetic radiation having material concurrently, where the first electromagnetic radiation has a frequency of ν1, and the second electromagnetic radiation has a frequency of ν″ and/or ν′″. One of the first or second atoms may be a hydrogen atom and the other of the first or second atoms may be an oxygen atom. The hydrogen atom and the oxygen atom may be part of a water molecule and the material may be water. The water may be subjected to cavitation. The water may be subjected to a magnetic field. The electromagnetic field may be pulsed. The electromagnetic field may be pulsed at a frequency (νp) according to the formula νp=Afr·Φn·e·10m, where Afr is a base frequency associated with an atom in a water molecule, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer. Electrical current may be caused to flow through the water. At least one of m and k may be zero in the equations for ν1 and ν2. The terms n and j may be zero, positive, or negative integers.


According to an embodiment of the present invention, a method of strengthening a bond between a first atom and a second atom in a molecule of a material is provided. The method includes selecting a first electromagnetic radiation frequency, the first electromagnetic radiation frequency including a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom. The method also includes directing a first electromagnetic radiation at the material, the first electromagnetic radiation having a frequency equal to the first electromagnetic radiation frequency, where the first electromagnetic radiation frequency is sufficient to strengthen the bond between the first atom and the second atom.


Various optional features of the embodiment of the preceding paragraph include the following. The first electromagnetic radiation frequency (ν1) may be defined by the equation ν1=Afr·Φn·e·10m, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer. The method may include selecting a second electromagnetic radiation frequency, the second electromagnetic radiation frequency comprising a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom, and directing a second electromagnetic radiation at the material, the second electromagnetic radiation having a frequency equal to the second electromagnetic radiation frequency, where the first electromagnetic radiation frequency and the second electromagnetic radiation frequency are sufficient to strengthen the bond between the first atom and the second atom. The first electromagnetic radiation frequency (ν1) may be defined by the equation ν1=Afr·Φn·e·10m, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer. The second electromagnetic radiation frequency (ν2) may be defined by the equation ν2=Bfr·Φj·e·10k, where Bfr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, j is an integer, and k is an integer. Any of the terms m, n, j, and k may be positive or negative integers. The material may be irradiated with a second electromagnetic radiation having a frequency (ν″) defined by the equation ν″=Afr·Φx·e−Lt·10y, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, t is equal to n, x is an integer, and y is an integer. The material may be irradiated with a second electromagnetic radiation having a frequency (ν″′) defined by the equation ν″′=(Afr·Φa·L−1)·10be−L, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, a is an integer, and b is an integer. The method may comprise irradiation of a material with electromagnetic radiation having at least one frequency according to at least one of each of ν1, ν2, ν″ and ν″′. The material may be irradiated with a first and a second electromagnetic radiation concurrently, where the first electromagnetic radiation has a frequency of ν1, and the second electromagnetic radiation has a frequency of ν″ and/or ν″′. The terms n and j may zero, positive, or negative integers.


According to an embodiment of the present invention, a method of facilitating the formation of a bond between a first atom and a second atom is presented. The method includes selecting a first electromagnetic radiation frequency, the first electromagnetic radiation frequency comprising a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom. The method also includes directing a first electromagnetic radiation at the first and second atoms, the first electromagnetic radiation having a frequency equal to the first electromagnetic radiation frequency, where the first electromagnetic radiation frequency is sufficient to facilitate the formation of the bond between the first atom and the second atom.


Various optional features of the embodiment of the preceding paragraph include the following. The first electromagnetic radiation frequency (ν1) may be defined by the equation ν1=Afr·Φn·e·10m, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer. The method may include selecting a second electromagnetic radiation frequency, the second electromagnetic radiation frequency comprising a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom, and directing a second electromagnetic radiation at the first and second atoms, the second electromagnetic radiation having a frequency equal to the second electromagnetic radiation frequency, where the first electromagnetic radiation frequency and the second electromagnetic radiation frequency are sufficient to facilitate the formation of the bond between the first atom and the second atom. The first electromagnetic radiation frequency (ν1) may be defined by the equation ν1=Afr·Φn·e·10m, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer. The second electromagnetic radiation frequency (ν2) may be defined by the equation ν2=Bfr·Φj·e·10k, where Bfr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, j is an integer, and k is an integer. Any of the terms m, n, j, and k may be positive or negative integers. The terms n and j may be negative integers. The material may be irradiated with a second electromagnetic radiation having a frequency (ν″) defined by the equation ν″=Afr·Φz·e−Lt·10y, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, t is equal to n, x is an integer, and y is an integer. The material may be irradiated with a second electromagnetic radiation having a frequency (ν″′) defined by the equation ν″′=(Afr·Φa·L−1)·10be−L, where Afr is a base frequency associated with either the first or second atom, (d) is a golden mean, e is a natural log base, L is the natural log of two, a is an integer, and b is an integer. The method may comprise irradiation of a material with at least one frequency according to at least one of each of ν1, ν2, ν″ and ν″′. The material may be irradiated with a first and a second electromagnetic radiation concurrently, where the first electromagnetic radiation has a frequency of ν1, and the second electromagnetic radiation has a frequency of ν″ and/or ν″′.


According to an embodiment of the present invention, a method of mimicking the presence of a molecule, the molecule having at least a first atom and a second atom, in a material, is presented. The method includes selecting a first electromagnetic radiation frequency, the first electromagnetic radiation frequency comprising a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom. The method also includes directing a first electromagnetic radiation at the material, the first electromagnetic radiation having a frequency equal to the first electromagnetic radiation frequency, where the first electromagnetic radiation frequency is sufficient to mimic the presence of a molecule in a material. In this embodiment, the first electromagnetic radiation frequency (ν1) may be defined by the equation ν1=Afr·Φn·e·10m, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer. The material may be irradiated with a second electromagnetic radiation frequency (ν″) defined by the equation ν″=Afr·Φr·e−Lt·10y, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, t is equal to n, x is an integer, and y is an integer. The material may be irradiated with a second electromagnetic radiation having a frequency (ν″′) defined by the equation ν″′=(Afr·Φa·L−1)·10be−L, where Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, a is an integer, and b is an integer. The method may comprise irradiation of a material with at least one frequency according to at least one of each of ν1, ν2, ν″ and ν″′. The material may be irradiated with a first and a second electromagnetic radiation having material concurrently, where the first electromagnetic radiation has a frequency of ν1, and the second electromagnetic radiation has a frequency of ν″ and/or ν″′.


According to an embodiment of the present invention, a method of enhancing the electrolysis of water is provided. A first electromagnetic radiation frequency (ν1), defined by the equation ν1=Afr·Φn·e·10m, is selected, where Afr is a base frequency associated with an atom in a water molecule, Φ is a golden mean, e is a natural log base, n is a non-negative integer, and m is a non-negative integer. A second electromagnetic radiation frequency (ν2), defined by the equation ν2=Bfr·Φj·e·10k, is selected, where Bfr is a base frequency associated with an atom in a water molecule, Φ is a golden mean, e is a natural log base, j is a nonnegative integer, and k is a nonnegative integer. The water is caused to cavitate. A first electromagnetic radiation having the first frequency is directed at the water. A second electromagnetic radiation having the second frequency is directed at the water. The step of directing the first electromagnetic radiation may occur simultaneously with the step of directing the second electromagnetic radiation. Electrical current is caused to flow through the water. An optional feature of the above embodiment includes that at least one of m and k may be equal to zero.





SUMMARY OF FIGURES


FIG. 1 is a schematic visualization of an electromagnetic radiation frequency selection equation according to an embodiment of the present invention.



FIG. 2 illustrates a method of cleaving chemical bonds by exposing the bonds to electromagnetic radiation according to an embodiment of the invention.



FIG. 3 illustrates a correlation between the maximum absorption frequencies of chlorophyll “a” and irradiation frequencies corresponding to hydrogen and oxygen atoms according to an embodiment of the invention.



FIG. 4 illustrates cluster size reduction of water according to an embodiment of the invention.



FIG. 5 illustrates an apparatus for reducing the size of macrostructures of a fluid and for irradiating a bond between a first and second atom with electromagnetic radiation according to an embodiment of the invention.





DETAILED DESCRIPTION OF THE INVENTION

Certain embodiments of the invention provide a system for manipulating or affecting an atom or a molecule by exposing the atom or molecule to electromagnetic radiation. By affecting a molecule, it is to be understood that the effect may be on any one or more of the atoms comprising the molecule. Furthermore, by affecting an atom or molecule, it is to be understood that a method of the invention includes affecting the atomic or molecular electron orbitals, or a combination thereof, of the atom or molecule to be affected. Embodiments of the invention provide a way to select a discrete number of frequencies of electromagnetic radiation suitable for affecting an atom or molecule and a technique for affording an effect by irradiation of the atom or molecule with at least one frequency of electromagnetic radiation selected thereby. Some embodiments of the invention provide a system for and method of cleaving or disassociating selected bonds by exposing the bonds to electromagnetic radiation. Other embodiments of the invention provide systems for and methods of selectively cleaving a bond between a first and a second atom by exposing the bond to electromagnetic radiation. In still other embodiments of the invention, the electromagnetic radiation may be used to strengthen bonds, including the facilitation of bond formation. In yet other embodiments of the invention, the electromagnetic radiation may be used to mimic atoms and/or molecules.


The method of affecting an atom or molecule may be achieved by irradiating the atom or molecule with a frequency of electromagnetic radiation (ν) according to Formula I, depicted below. In some embodiments, the frequencies of electromagnetic radiation (ν) according to Formula I fall within, and include, the range of yottahertz (yHz, on the order of 10−24 Hz) and yottahertz (Yhz, on the order of 1024 Hz). Other embodiments employ frequencies falling within ranges such as, by way of non-limiting examples, 10−10 Hz through 1010 Hz, 10−5 Hz through 105 Hz, or 105 Hz through 1020 Hz.

ν=Afr·Φn·e  Formula I.


In Formula I, ν is the frequency of radiation used to affect the atom or molecule. The term Afr represents the base frequency of the atom (including those within a molecule) to be affected. A base frequency of an atom is a spectroscopic parameter associated with that atom. The spectroscopic parameter may be, by way of non-limiting example, a frequency corresponding to the maximum wavelength of absorption (λmax) for the molecular form of that atom. The symbol Φ represents the golden mean, equal to ½(1+√5). The variable n may be any integer, including negative integers, positive integers and zero, and may be the same or different. The constant e is defined as the base for natural logs, equal to about 2.71828. In some embodiments, simultaneous exposure of the atom to multiple electromagnetic radiation frequencies falling within the scope of Formula I can be utilized. If the use of multiple electromagnetic radiation frequencies suitable for affecting an atom is desired, multiple electromagnetic radiation frequencies may be determined by solving Formula I for multiple values of n. It is contemplated that two, three or up to eight or more frequencies (ν) of electromagnetic radiation may be used. The method of affecting the atom or molecule with multiple frequencies of electromagnetic radiation according to Formula I may be achieved by irradiation with the multiple frequencies of electromagnetic radiation simultaneously, sequentially or in a combination thereof. In other embodiments, exposure to a single electromagnetic frequency falling within the scope of Formula I may be utilized.


In certain embodiments of the invention, it is contemplated that the frequencies of electromagnetic radiation useful for affecting atoms or molecules may be various orders of magnitude of the frequency of electromagnetic radiation determinable by Formula I. Formula II may be solved in order to determine the frequencies of electromagnetic radiation (ν′) that may be used to affect an atom or molecule according to an embodiment of the invention. In some embodiments, the frequencies (ν′) of electromagnetic radiation according to Formula II fall within, and include, the range of yoctaherz (yHz, on the order of 10−24 Hz) and yottahertz (Yhz, on the order of 1024 Hz). Other embodiments employ frequencies falling within ranges such as, by way of non-limiting examples, 10−10 Hz through 1010 Hz, 10−5 Hz through 105 Hz, or 105 Hz through 1020 Hz. Note that in certain embodiments, both ν and ν′ fall within these ranges. That is, once values for ν are calculated according to Formula I that fall within a given range, then additional orders of magnitude of ν, calculated as ν′ according to Formula II, may be calculated such that they still lie within the given range.

ν′=ν·10m=Afr·Φn·e·10m  Formula II.

In Formula II, the term ν′ is the frequency of radiation used to affect an atom or molecule and ν is as in Formula I. The term Afr represents the base frequency of the atom (including those in a molecule) to be affected. A base frequency of the atom is a spectroscopic parameter associated with that atom. The spectroscopic parameter may be, by way of non-limiting example, a frequency corresponding to the maximum wavelength of absorption (λmax) for the molecular form of that atom. The symbol Φ represents the golden mean, equal to ½(1+√5). The variables n and m may be any integer, including negative integers, positive integers and zero, and may be the same or different. The constant e is defined as the base for natural logs, equal to about 2.71828. In some embodiments, simultaneous exposure of the atom or molecule to multiple electromagnetic radiation frequencies falling within the scope of Formula II can be utilized. If the use of multiple electromagnetic radiation frequencies suitable for affecting an atom or molecule is desired, multiple electromagnetic radiation frequencies may be determined by solving Formula II for multiple values of n or m, or a combination thereof. If it is desired to affect multiple atoms present or multiple atoms of a molecule, multiple frequencies may further be determined according to Formula II by inputting the base frequency parameter Afr for each bonded atom. It is contemplated that two, three or up to eight or more frequencies of electromagnetic radiation (ν′) may be used. The atoms or molecules to be affected may be irradiated with the multiple frequencies of electromagnetic radiation simultaneously, sequentially or in a combination thereof. In other embodiments, exposure to a single electromagnetic radiation frequency falling within the scope of Formula II may be utilized.



FIG. 1 is a schematic visualization of Formula II according to an embodiment of the present invention. The xy-plane contains a golden spiral 100. In polar coordinates, golden spiral 100 complies with the formula r=Φ2θ/π, where (r,θ) represents respective polar coordinates (radius, angle from the positive x-axis), Φ represents the golden mean, and π is the well-known mathematical constant equal to about 3.14. Values of ν (according to Formula I) are depicted where golden spiral 100 intersects the x- and y-axes. Specifically, a value for ν when n=0 appears at the origin (0,0), and additional values for ν are plotted on the x- and y-axes by traversing golden spiral 100 counterclockwise and outward as n increases. For example, the value of ν for n=20 appears on the y-axis at 110 and the value of ν for n=17 appears on the x-axis at 120. Orders of magnitude of each ν value according to Formula II are depicted above and below the respective ν value outside of the xy-plane. That is, orders of magnitude of a particular value of ν lie along the line parallel to the z-axis passing through the particular location in the xy-plane at which that value for ν is depicted. Orders of magnitude of ν values for which m is negative appear below the xy-plane, while orders of magnitude of ν values for which m is positive appear above the xy-plane. For example and according to Formula II, ν′ when n=17 and m=9 appears at 130 in FIG. 1. In sum, FIG. 1 depicts a polar representation of Formula II as limit [yHz→YHz] νp=Afr·Φn·e·10m, where ν1→ν20, etc. are representations of the “prime EMF” existing on the xy-axis for a targeted element (e.g., hydrogen), and its respective “prime EMF octaves,” existing on the z-axis, where the octaves=(specific prime EMF×10m), and where m=±integers and n=±integers. Note that when n is positive, the spiral curve will rotate in a counter clockwise direction (as depicted), but when n is negative, the spiral curve will rotate in the opposite (clockwise) direction instead, ceterus peribus. Note further that FIG. 1 is not to scale and for illustration purposes only.


As seen in FIG. 1, Formula II may be used to calculate a finite number of specific values of electromagnetic frequencies for each type of atom (i.e. each element). From this finite number of electromagnetic frequencies, a technician with the aid of a tunable electromagnetic radiation frequency generator will be able to simply tune through the given predetermined electromagnetic frequencies corresponding to Formula II for the specific type of atom selected and observe and record which select electromagnetic frequency or frequencies are suitable for affecting the atom or molecule in the manner desired.


One embodiment of the invention includes a process of affecting a molecule in order to cleave or disassociate a bond between a first and a second atom. The first and second atoms may be of the same or different elements. Cleavage occurs by exposing the bond to electromagnetic radiation at a frequency according to Formula II. In some embodiments, covalent bonds (including polar covalent bonds), ionic bonds, hydrogen bonds and van der Waals interactions may be cleaved or disassociated by the method described herein.


In Formula II, the term ν′ is the frequency of radiation used to cleave the bond. The term Afr represents the base frequency of one of the atoms that is bonded. A base frequency of one of the first or second atoms is a spectroscopic parameter associated with that atom. The spectroscopic parameter may be, by way of non-limiting example, a frequency corresponding to the maximum wavelength of absorption (λmax) for the molecular form of that atom. The symbol Φ represents the golden mean, equal to ½(1+√5). The variables n and m may be any integer, including negative integers, positive integers and zero, and may be the same or different. In some embodiments, methods of cleaving or disassociating bonds are achieved by irradiating the bonds with frequencies of electromagnetic radiation selected from Formula II wherein the variable n is a positive integer. The constant e is defined as the base for natural logs, equal to about 2.71828. In some embodiments, simultaneous exposure of the bond to multiple electromagnetic radiation frequencies falling within the scope of Formula II can be utilized. If the use of multiple electromagnetic radiation frequencies suitable for cleaving a bond comprising a specific first atom and a second atom is desired, multiple electromagnetic radiation frequencies may be determined by solving Formula II for multiple values of n or m, or combinations thereof. Such multiple frequencies may further be determined according to Formula II by inputting the base frequency parameter Afr for each bonded atom. It is contemplated that two, three or up to eight or more frequencies of electromagnetic radiation (ν′) may be used. The bonds to be cleaved may be irradiated with the multiple frequencies of electromagnetic radiation simultaneously, sequentially or in a combination thereof. In other embodiments, exposure to a single electromagnetic frequency falling within the scope of Formula II may be utilized.



FIG. 2 illustrates an embodiment of the invention wherein electromagnetic radiation (E) is directed to a material 200. The electromagnetic radiation (E) is generated by an electromagnetic frequency generator 210, such as by way of non-limiting examples, a laser, maser or oscillator. The frequency (ν′) of the electromagnetic radiation is selected according to Formula II. The material may be in any form, such as a solid, liquid or gas. Depending on the atom utilized to determine the base frequency (Afr) input into Formula II, the electromagnetic radiation (E) can be used to selectively cleave a bond between two atoms in the material 200, where the base frequency utilized to solve Formula II corresponds to at least one of the atoms in the material.


Formula II may be used to calculate a finite number of specific values of electromagnetic frequencies for each type of atom (i.e. each element). From this finite number of electromagnetic frequencies, a technician with the aid of a tunable electromagnetic radiation frequency generator will be able to simply tune through the given predetermined electromagnetic frequencies corresponding to Formula II for the specific type of atom selected and observe and record which select electromagnetic frequency or frequencies are suitable for cleaving the molecule. Such a technician may simply observe the material for signs that bonds have been broken.


One embodiment of the invention includes a method for cleaving a hydrogen-containing covalent bond, i.e. a covalent bond where one of the atoms is a hydrogen atom. When one of the first or second atoms is a hydrogen atom, the base frequency may be solved for hydrogen or for the second atom to which the hydrogen atom is bonded. Determination of the base frequency for hydrogen (Hfr) is accomplished by first determining the maximum wavelength of absorption (λmax) for diatomic (molecular) hydrogen (H2). The base frequency of an element is determined by the formula:

Afr=C/λmax  Formula III.

In Formula III, the term c represents the speed of light. Accordingly, with a maximum wavelength of 21.1 cm, the base frequency for ground state, natural hydrogen (Hfr) is about 1.420405751698 GHz.


The process of cleaving a covalent bond between a hydrogen atom and another atom may include directing electromagnetic radiation of one or more of the frequencies according to Formula II at a material having molecules with at least one covalent bond between a hydrogen atom and another atom. In one embodiment of the invention, such a process may include the use of one or more frequencies according to Formula II that are solved by inputting an Afr into Formula II that corresponds to the base frequency of hydrogen (Hfr). Table I illustrates example frequencies of electromagnetic radiation for cleaving a covalent bond between a hydrogen atom and a second atom. As illustrated in Table I, the frequencies can range from the low gigahertz range through the petahertz range and beyond. Frequencies ranging from Yottahertz (yHz, on the order of 10−24 Hz) radiation through, and including, Yottahertz (Yhz, on the order of 1024 Hz) are contemplated. Other embodiments employ frequencies falling within ranges such as, by way of non-limiting examples, 10−10 Hz through 1010 Hz, 10−5 Hz through 105 Hz, or 105 Hz through 1020 Hz.









TABLE I





Exemplary Frequencies For Cleaving a Covalent Bond


that Bonds a Hydrogen to Another Atom



















Hfr · Φ0 · e · 100
3.861063144
GHz



Hfr · Φ1 · e · 100
6.247331399
GHz



Hfr · Φ2 · e · 100
10.10839454
GHz



Hfr · Φ3 · e · 100
16.35572594
GHz



Hfr · Φ4 · e · 100
26.46412048
GHz



Hfr · Φ5 · e · 100
42.81984642
GHz



Hfr · Φ6 · e · 100
69.2839669
GHz



Hfr · Φ7 · e · 100
112.1038133
GHz



Hfr · Φ8 · e · 100
181.3877802
GHz



Hfr · Φ9 · e · 100
0.2934915935
THz



Hfr · Φ10 · e · 100
0.4748793737
THz



Hfr · Φ11 · e · 100
0.7683709672
THz



Hfr · Φ12 · e · 100
1.243250341
THz



Hfr · Φ13 · e · 100
2.011621308
THz



Hfr · Φ14 · e · 100
3.254871649
THz



Hfr · Φ15 · e · 100
5.266492956
THz



Hfr · Φ16 · e · 100
8.521364605
THz



Hfr · Φ17 · e · 100
13.78785756
THz



Hfr · Φ18 · e · 100
22.3092216
THz



Hfr · Φ19 · e · 100
36.09707972
THz



Hfr · Φ20 · e · 100
58.40630188
THz



Hfr · Φ21 · e · 100
94.50338158
THz



Hfr · Φ22 · e · 100
152.9096835
THz



Hfr · Φ23 · e · 100
247.413065
THz



Hfr · Φ24 · e · 100
0.4003227485
PHz



Hfr · Φ25 · e · 100
0.6477358136
PHz



Hfr · Φ26 · e · 100
1.048058562
PHz



Hfr · Φ27 · e · 100
1.695794376
PHz



Hfr · Φ28 · e · 100
2.743852938
PHz



Hfr · Φ29 · e · 100
4.439647313
PHz



Hfr · Φ30 · e · 100
7.18350025
PHz



Hfr · Φ31 · e · 100
11.62314756
PHz



Hfr · Φ32 · e · 100
18.80664781
PHz










In some embodiments of the invention, bonds can be dissociated by exposing the bonds to electromagnetic radiation comprising a frequency according Formula II without any additional processes or steps. In other embodiments, the process of cleaving bonds by exposure to electromagnetic radiation having a frequency according to Formula II may be combined with another process known to be useful for breaking bonds, such as by way of a non-limiting example, electrolysis.


In one embodiment of the invention, the process for cleaving a covalent bond between a hydrogen atom and a second atom is used for cleaving the hydrogen-oxygen bonds in water. In the case of water, the hydrogen-oxygen bonds can be cleaved by directing electromagnetic radiation with at least one frequency according to Formula II at the bonds while also utilizing another method known to be useful in breaking the hydrogen-oxygen bonds of water, such as electrolysis, or by directing electromagnetic radiation with one or more frequencies according to Formula II at the water alone. Experimentation has shown that by exposing water to electromagnetic radiation according to Formula II, efficiency of electrolysis of the water increased by about 1,250% compared to electrolysis alone. More particularly, electrolysis of water combined with exposure of the water to electromagnetic radiation according to Formula II increased the volume of gas produced by 1,250% compared to electrolysis alone when conducted under otherwise identical conditions.


In some embodiments of the invention, the process of cleaving a bond between a first and second atom with electromagnetic radiation does not include a process of cleaving a silicon-hydrogen bond. In other embodiments of the invention, the process of cleaving a bond connecting a hydrogen to a second atom by exposing the bond to electromagnetic radiation according to Formula II does not include irradiation with electromagnetic radiation having a frequency of 6.2×102 THz (i.e., electromagnetic radiation having a wavelength of 4.8 microns). In still other embodiments of the invention, the process of cleaving a silicon-hydrogen bond by exposing the silicon-hydrogen bond to electromagnetic radiation according to Formula II does not include exposing the silicon-hydrogen bond to electromagnetic radiation having a frequency of 6.2×102 THz.


In another embodiment of the invention, a bond between an oxygen atom and a second atom can be cleaved by exposing the bond to electromagnetic radiation having a frequency according to Formula II. For cleaving a bond between an oxygen atom and a second atom, Formula II may be solved utilizing a base frequency for oxygen or for the atom to which oxygen is bonded. The base frequency of oxygen (Ofr) may be determined by inputting the maximum absorption wavelength (λmax) for diatomic (molecular) oxygen (O2) into Formula III. Because the maximum absorption wavelength of oxygen is 760 nm the base frequency of atmospheric, ground state triplet oxygen comprising O16, O17 and O18 in atmospheric proportions (Ofr) is determined to be about 0.3947368421 PHz.


The process of cleaving a covalent bond between an oxygen atom and another atom may include directing electromagnetic radiation of one or more of the frequencies according to Formula II at a material having molecules with at least one covalent bond between an oxygen atom and another atom. In one embodiment of the invention, such a process may include the use of one or more frequencies according to Formula II that are solved by inputting a base frequency (Afr) into Formula II that corresponds to the base frequency of oxygen (Ofr). Table II illustrates examples of electromagnetic radiation frequencies for cleaving a covalent bond between an oxygen atom and a second atom.









TABLE II





Exemplary Frequencies For Cleaving a Covalent Bond


that Bonds an Oxygen to Another Atom



















Ofr · Φ0 · e · 100
1.073005985
PHz



Ofr · Φ1 · e · 100
1.736160154
PHz



Ofr · Φ2 · e · 100
2.809166138
PHz



Ofr · Φ3 · e · 100
4.545326292
PHz



Ofr · Φ4 · e · 100
7.35449243
PHz



Ofr · Φ5 · e · 100
11.89981872
PHz



Ofr · Φ6 · e · 100
19.25431115
PHz



Ofr · Φ7 · e · 100
31.15412987
PHz



Ofr · Φ8 · e · 100
50.40844102
PHz



Ofr · Φ9 · e · 100
81.56257087
PHz



Ofr · Φ10 · e · 100
131.9710119
PHz



Ofr · Φ11 · e · 100
213.5335827
PHz



Ofr · Φ12 · e · 100
345.5045946
PHz



Ofr · Φ13 · e · 100
559.0381773
PHz



Ofr · Φ14 · e · 100
904.5427719
PHz



Ofr · Φ15 · e · 100
1.463580949
EHz



Ofr · Φ16 · e · 100
2.368123721
EHz



Ofr · Φ17 · e · 100
3.83170467
EHz



Ofr · Φ18 · e · 100
6.199828391
EHz



Ofr · Φ19 · e · 100
10.03153306
EHz



Ofr · Φ20 · e · 100
16.23136145
EHz



Ofr · Φ21 · e · 100
26.26289451
EHz



Ofr · Φ22 · e · 100
42.49425596
EHz



Ofr · Φ23 · e · 100
68.75715046
EHz



Ofr · Φ24 · e · 100
111.2514064
EHz



Ofr · Φ25 · e · 100
180.0085569
EHz



Ofr · Φ26 · e · 100
291.2599633
EHz



Ofr · Φ27 · e · 100
471.2685202
EHz



Ofr · Φ28 · e · 100
762.5284835
EHz



Ofr · Φ29 · e · 100
1.233797004
ZHz



Ofr · Φ30 · e · 100
1.996325487
ZHz



Ofr · Φ31 · e · 100
3.23012249
ZHz



Ofr · Φ32 · e · 100
5.226447977
ZHz



Ofr · Φ33 · e · 100
8.456570467
ZHz



Ofr · Φ34 · e · 100
13.68301844
ZHz



Ofr · Φ35 · e · 100
22.13958891
ZHz



Ofr · Φ36 · e · 100
35.82260735
ZHz



Ofr · Φ37 · e · 100
57.96219626
ZHz










It is contemplated that some embodiments of the invention include exposing a bond to electromagnetic radiation comprising multiple frequencies according to Formula II. In some embodiments of the invention, such frequencies may be obtained by solving Formula II for multiple values of n or m, or a combination thereof. In other embodiments of the invention, such frequencies may be obtained by solving Formula II for the base frequencies of each of the bonded atoms. That is, each electromagnetic radiation frequency may correspond to a different base frequency. In still other embodiments of the invention, such electromagnetic radiation frequencies may be determined by solving Formula II for the base frequencies of each of the bonded atoms and solving for various values of n or m, or a combination thereof, for each base frequency. For example, it is contemplated that in one embodiment of the invention, a hydrogen-oxygen bond can be irradiated with electromagnetic radiation comprising at least one frequency of Table I and at least one frequency of Table II.


In one embodiment of the invention, the frequencies of electromagnetic radiation utilized for cleaving a bond between a first and a second atom will correspond to at least one frequency of electromagnetic radiation according to Formula II solved for the base frequency of the first atom and at least one frequency of electromagnetic radiation according to Formula II solved for the base frequency of the second atom. In such embodiments, there are multiple, at least two, electromagnetic radiation frequencies utilized to cleave the bond. In some embodiments, the frequencies of electromagnetic radiation utilized to cleave a bond will be selected such that all frequencies selected are within 5% of largest frequency value selected. In other embodiments, the frequencies selected will all be within 10% of largest frequency value selected. In some embodiments of the invention, the bond between a first and second atom to be cleaved will be irradiated with a narrow band of electromagnetic radiation that includes the multiple frequencies of electromagnetic radiation selected according to the process described above. In other embodiments, the bond between a first and second atom to be cleaved will be irradiated with multiple specific electromagnetic radiation frequencies that correspond to the electromagnetic radiation frequencies selected according to the process described above.



FIG. 3 depicts the absorption maxima of chlorophyll “a”, 300 and 310. Chlorophyll “a” is a photoreceptor that is known to absorb red and blue light, resulting in the initiation of the cleavage of water (H2O) into hydrogen and oxygen, which then are used to begin a plant's production of carbohydrates. As illustrated in FIG. 3, when base frequency (Afr) corresponds to the base frequency of hydrogen, Formula II predicts both the blue and the red wavelength absorption maxima of chlorophyll “a”. Likewise, when base frequency (Afr) corresponds to the base frequency of oxygen, Formula II also predicts both the blue and the red absorption wavelength maxima of chlorophyll “a”. Therefore, this shows that Formula II accurately predicts the relationship between the base frequencies of hydrogen and oxygen and known biological realities.


In one embodiment of the invention, it is contemplated that cleavage of a bond between a first and second atom may be accomplished for a specific isotope of either or both of the first and second atoms. In such a process, a frequency of electromagnetic radiation according to Formula II may be determined utilizing a base frequency of a specific isotope of either the first or second atom. For example, the base frequency may be determined for hydrogen (1H), deuterium (2H) or tritium (3H). Isotope selectivity may be desired in some embodiments for various reasons. For example, in an embodiment where the first or second atom is a hydrogen isotope, the process could be utilized to selectively cleave hydrogen, deuterium, or tritium in order to produce molecular hydrogen (1H2), molecular deuterium (2H2) or molecular tritium (3H2), respectively.


In one embodiment of the invention, it is contemplated that cleavage of a bond between a first atom and a second atom will be accomplished by irradiating the bond with electromagnetic radiation having a frequency according to Formula II, where Formula II is solved for the base frequency of the first or second atom with the smaller atomic mass. The atomic mass of an atom is the sum of the mass of the neutrons, protons and electrons of the atom.


Irradiating a bond utilizing a specific frequency or a narrow band of electromagnetic radiation is generally more efficient compared to the use of broad-band electromagnetic radiation for several reasons. By irradiating a bond with a specific frequency of electromagnetic radiation specifically selected to cleave the bond, instead of a broad-band of electromagnetic radiation, less energy is required to cleave the bond because energy will not be wasted on emitting frequencies that are ineffective at cleaving the desired bond. It is also contemplated that certain frequencies of electromagnetic radiation may adversely impact the desired bond cleavage. Accordingly, for at least these reasons, the use of specific frequencies of electromagnetic radiation facilitates bond cleavage with less energy requirements than would be required by broad-band irradiation.


Furthermore, utilization of a specific frequency of electromagnetic radiation for cleaving a bond between a first and second atom may be advantageous when it is desired to cleave a specific bond in a molecule that has more than two types of atoms. For example irradiation of methanol (H3COH) with electromagnetic radiation having a frequency according to Formula II where the base frequency is the base frequency of hydrogen (Hfr) may be useful for cleaving the hydrogen-oxygen and the hydrogen-carbon bonds, while leaving the carbon-oxygen bond intact.


In one embodiment of the invention, a second process may be utilized in combination with a first process to facilitate bond cleavage (the first process being the application of electromagnetic radiation having a frequency according to Formula II). The second process is particularly useful when the material is a liquid. It is contemplated that the second process may be useful when, e.g., a liquid tends to form macrostructures or quasicrystals via non-covalent interactions, such as hydrogen bonding, van der Waals forces, etc. The second process involves subjecting the liquid to cavitation, such as in a spiral vortex, a pulsed magnetic field, or a combination thereof. In one embodiment, the magnetic field can be pulsed at at least one frequency that corresponds to Formula II.


The second process may be utilized in concert with the first process in order to increase the efficiency of bond cleavage by exposing the bonds which are to be cleaved to the electromagnetic radiation of the first process. The second process, if utilized in concert with the first process, may occur concurrently or sequentially with the first process. The second process may also be useful in facilitating other methods of bond cleavage, such as electrolysis.



FIG. 4 illustrates super 400 and icosahedral 410 water clusters, which may comprise hundreds or even thousands of water molecules. While not wishing to be bound by any theory of operation, it is believed that the formation of these clusters limits the number of covalent hydrogen-oxygen bonds that are exposed to the electromagnetic radiation of the first process. The “surface” of the cluster appears to block much of the electromagnetic radiation from entering the “interior” of the cluster. Therefore, it is believed that while the hydrogen-oxygen bonds that are on the “surface” of the cluster are exposed to the electromagnetic radiation, the hydrogen-oxygen bonds that are within the cluster are largely un-exposed and, thus, are not susceptible to electromagnetic-radiation-induced bond cleavage. It is also believed that when used with water, the second process breaks the large water clusters 400 and 410 into smaller water clusters 420, as schematically illustrated in FIG. 4. Because the smaller water clusters possess fewer water molecules, fewer hydrogen-oxygen bonds are shielded from the electromagnetic radiation by the “surface” of the cluster. Accordingly, when the macrostructure of the water molecules is in the form of small water clusters 420, the hydrogen-oxygen bonds are more exposed to electromagnetic radiation and more readily cleaved. Therefore, in one embodiment, the second process can be initially utilized to break the super 400 and icosahedral 410 clusters into smaller cluster sizes 420, followed by the first process utilized to cleave the bonds in the smaller clusters 420 Accordingly, the second process can be used in combination with the first process in a method of cleaving, e.g., the hydrogen-oxygen bond of water. In sum, as depicted in FIG. 4, breaking down the cluster sizes into manageable chains and rings by moving the water (a dipole molecule) through a pulsating magnetic flux retards ongoing re-configuration, aligning molecules as they are in ice, reducing H-bonding possibilities without freezing. Once aligned, continuing pulsation of magnetic flux within increasingly smaller cavities causes cavitation, systematically breaking down molecules further without chance of molecular reconstituting or reformation (i.e., large clusters are not reformed).



FIG. 5 illustrates an embodiment of the invention which combines a first process (the application of electromagnetic radiation having at least one frequency of Formula II) with a second process (facilitation of bond cleavage by exposure of the water to cavitation and a pulsed magnetic field). FIG. 5 illustrates an apparatus 500 comprising a coiled cylindrical body 510. Although the invention is not limited to such an embodiment, the coiled cylindrical body depicted in FIG. 5 proceeds from an outer coil 520 to an inner coil 530. As the coiled body 510 proceeds from the outer coil 520 to the inner coil 530, the diameter of the coil 540 becomes progressively smaller. At the open end of the outer coil, the interior of the coiled cylindrical body is accessible via the mouth 550 of the cylinder. In some embodiments, as the coiled body proceeds from the outer coil 520 to the inner coil 530, the diameter of the cylindrical portion of the body 560 becomes progressively smaller. Furthermore, in some embodiments, the interior of the cylindrical body is lined with a coil of electromagnetic transmitting nodes 570. The electromagnetic transmitting nodes 570 may emit electromagnetic radiation having one or more frequencies according to Formula II, including frequencies obtained by plugging the base frequencies of one or both of the atoms involved in the bond that is to be cleaved into Formula II. In some embodiments of the invention, different electromagnetic frequencies of Formula II are transmitted by different portions of the electromagnetic transmitting nodes 570. In other embodiments of the invention, the electromagnetic frequencies transmitted by the electromagnetic transmitting nodes 570 may not be the same throughout the entire process. In other words, if desired, the electromagnetic transmitting nodes 570 at specific points along the interior of the coiled cylindrical body may change the frequency of electromagnetic radiation transmitted. Furthermore, although the invention is not so limited, the apparatus of FIG. 5 comprises magnetic windings 580 that are spaced intermittently along the coiled cylindrical body. In another embodiment of the invention, the magnetic windings may be continuously placed along the coiled cylindrical body.


In one embodiment of the invention, the apparatus of FIG. 5 can be utilized in a method for cleaving the hydrogen-oxygen bonds of water. The method can be utilized, e.g., for generating hydrogen gas (H2) and oxygen gas (O2). Water can be introduced into the mouth 550 of the apparatus whereby it will become subject to the electromagnetic frequencies according to Formula II being transmitted by the electromagnetic transmitting nodes 570 found within the interior of the coiled cylindrical body 510. As the water flows inward inside the coiled cylindrical body 510, the large water clusters, such as super 400 and icosahedral 410 clusters, will be broken into smaller clusters 420 because of, e.g., (1) the spiraling flow or “vortex” of the water; (2) the decreasing diameter of the cylindrical body; and (3) the magnetic pulsation of the magnetic coils. The hydrogen-oxygen bonds of water in the smaller clusters 420 will then be more susceptible to bond cleavage induced by the electromagnetic radiation transmitted by the electromagnetic transmitting nodes 570. In various embodiments of the invention, the use of any manner of breaking large water clusters into smaller clusters is contemplated, including those recited herein, and any other known method of breaking large water clusters into smaller clusters, or any combinations thereof.


Furthermore, it is contemplated that in some embodiments of the invention, a method of cleaving bonds comprising the first and second processes may further be combined with another process known to be useful in cleaving bonds. For example, electrolysis is known to convert H2O to H2 and O2. Accordingly, the first and second processes may be used to increase the efficiency of electrolysis. Using a broad-band electromagnetic frequency generator, electrolysis of water was observed to increase by about 1,250% when compared to electrolysis alone.


In some embodiments of the invention, the process of affecting an atom or a molecule by exposing the atom or molecule to electromagnetic radiation having a frequency according to Formula II may be accelerated or retarded by additionally irradiating the atom or molecule with electromagnetic radiation with a frequency according to Formula IV, electromagnetic radiation with a frequency according to Formula V, or a combination thereof. Formula IV and Formula V are described below. In other embodiments, electromagnetic radiation having a frequency according to either or both of Formula IV and Formula V may be utilized, independent of electromagnetic radiation having a frequency according to Formula II, in order to cause elements, atoms, compounds, or a combination thereof, to be more or less reactive. Formula IV and Formula V may affect energy states and bonding potentials of all atomic matter, such as by affecting electron orbitals of elements, atoms, compounds or a combination thereof.

ν″=ν·e−Lt−1·10m=Afr·Φn·e−Lt·10m  Formula IV.


In Formula IV, the term ν″ is the frequency of electromagnetic radiation useful for accelerating or retarding the rate of the process of affecting the atom or the molecule by exposing the atom or molecule to electromagnetic radiation having a frequency according to Formula II. In some embodiments, the process to be accelerated or retarded may be a process of cleaving bonds between a first and a second atom. The term Afr represents the base frequency of one of the atoms that is bonded. A base frequency of one of the first or second atoms is a spectroscopic parameter associated with that atom. The spectroscopic parameter may be, by way of non-limiting example, a frequency corresponding to the maximum wavelength of absorption (λmax) for the molecular form of that atom and may be determined according to Formula III. The symbol Φ represents the golden mean, equal to ½(1+√5). The variables n and m may be any integer, including negative integers, positive integers and zero, and may be the same or different. The constant e is defined as the base for natural logs, equal to about 2.71828. The constant L is defined as the natural log of the number two, equal to about 0.693. The variable t is equal to the variable n. In some embodiments, the variable n is a negative number when the electromagnetic radiation frequency according to Formula IV is utilized to retard the process of affecting an atom or molecule with electromagnetic radiation having a frequency according to Formula II. In other embodiments, the variable n is a negative number when the electromagnetic radiation frequency according to Formula IV is utilized to make an atom, element or molecule less reactive. In some embodiments, the variable n is a positive number when the electromagnetic radiation frequency according to Formula IV is utilized to accelerate the process of affecting an atom or molecule with electromagnetic radiation having a frequency according to Formula II. In other embodiments, the variable n is a positive number when the electromagnetic radiation frequency according to Formula IV is utilized to make an atom, element or molecule more reactive.


In some embodiments, the frequencies (ν″) of electromagnetic radiation according to Formula IV fall within, and include, the range of yoctaherz (yHz, on the order of 10−24 Hz) and yottahertz (Yhz, on the order of 1024 Hz). Other embodiments employ frequencies falling within ranges such as, by way of non-limiting examples, 10−10 Hz through 1010 Hz, 10−5 Hz through 105 Hz, or 105 Hz through 1020 Hz. Note that in certain embodiments, both ν (according to Formula I) and ν″ fall within these ranges. That is, once values for ν are calculated according to Formula I that fall within a given range, then additional orders of magnitude of ν, calculated as ν″ according to Formula IV, may be calculated such that they still lie within the given range.

ν′″=(ν·L−1)·10me−L−1=(Afr·Φn·L−1)·10me−L  Formula V.


In Formula V, the term ν″′ is the frequency of electromagnetic radiation useful for accelerating or retarding the rate of the process of affecting an atom or a molecule by exposing the atom or molecule to electromagnetic radiation having a frequency according to Formula V. In some embodiments, the process to be accelerated or retarded may be a process of cleaving bonds between a first and a second atom. The term Afr represents the base frequency of one of the atoms that is bonded. A base frequency of one of the first or second atoms is a spectroscopic parameter associated with that atom. The spectroscopic parameter may be, by way of non-limiting example, a frequency corresponding to the maximum wavelength of absorption (λmax) for the molecular form of that atom and may be determined according to Formula III. The symbol Φ represents the golden mean, equal to ½(1+√5). The variables n and m may be any integer, including negative integers, positive integers and zero, and may be the same or different. The constant e is defined as the base for natural logs, equal to about 2.71828. The constant L is defined as the natural log of the number two, equal to about 0.693. In some embodiments, the variable n is a negative number when the electromagnetic radiation frequency according to Formula V is utilized to retard the process of affecting an atom or molecule with electromagnetic radiation having a frequency according to Formula II. In other embodiments, the variable n is a negative number when the electromagnetic radiation frequency according to Formula V is utilized to make an atom, element or molecule less reactive. In some embodiments, the variable n is a positive number when the electromagnetic radiation frequency according to Formula V is utilized to accelerate the process of affecting an atom or molecule with electromagnetic radiation having a frequency according to Formula II. In other embodiments, the variable n is a positive number when the electromagnetic radiation frequency according to Formula V is utilized to make an atom, element or molecule more reactive.


In some embodiments, the frequencies (ν″′) of electromagnetic radiation according to Formula V fall within, and include, the range of yoctaherz (yHz, on the order of 10−24 Hz) and yottahertz (Yhz, on the order of 1024 Hz). Other embodiments employ frequencies falling within ranges such as, by way of non-limiting examples, 10−10 Hz through 1010 Hz, 10−5 Hz through 105 Hz, or 105 Hz through 1020 Hz. Note that in certain embodiments, both ν (according to Formula I) and ν″′ fall within these ranges. That is, once values for ν are calculated according to Formula I that fall within a given range, then additional orders of magnitude of ν, calculated as ν″′ according to Formula V, may be calculated such that they still lie within the given range.


In some embodiments, simultaneous exposure of the bond to multiple electromagnetic radiation frequencies falling within the scope of Formula IV or Formula V, or a combination thereof, may be utilized. Multiple electromagnetic radiation frequencies may be determined by solving either or both of Formulas IV and V for multiple values of n and/or m. Such multiple frequencies of electromagnetic radiation may further be determined according to either or both of Formulas IV and V by inputting the base frequency parameter Afr for each bonded atom. It is contemplated that two, three or up to eight or more frequencies (ν″ and/or ν″′) may be used to accelerate or retard a process of affecting an atom or a molecule by exposing the atom or molecule to electromagnetic radiation having a frequency according to Formula II.


In one embodiment of the invention, a hydrogen-containing covalent bond is irradiated with at least one electromagnetic radiation frequency according to Formula II, solved for a base frequency of hydrogen, and at least one electromagnetic radiation frequency according to either or both of Formulas IV and V, solved for a base frequency of hydrogen. Exemplary frequencies of electromagnetic radiation according to Formulas IV and V solved for the base frequency of hydrogen are illustrated in Table IV and Table V, respectively.









TABLE III







Exemplary Frequencies According to Formula IV for Accelerating


or Retarding the Cleavage of a Bond Between a


Hydrogen Atom and Another Atom











Hfr · Φ−8 · e(−L·−8) · 100
7.731665658
GHz



Hfr · Φ−7 · e(−L·−7) · 100
6.255909898
GHz



Hfr · Φ−6 · e(−L·−6) · 100
5.06183407
GHz



Hfr · Φ−5 · e(−L·−5) · 100
4.095673463
GHz



Hfr · Φ−4 · e(−L·−4) · 100
3.313925523
GHz



Hfr · Φ−3 · e(−L·−3) · 100
2.681391099
GHz



Hfr · Φ−2 · e(−L·−2) · 100
2.169589563
GHz



Hfr · Φ−1 · e(−L·−1) · 100
1.75547643
GHz



Hfr · Φ0 · e(−L·0) · 100
1.420405752
GHz



Hfr · Φ1 · e(−L·1) · 100
1.149301534
GHz



Hfr · Φ2 · e(−L·2) · 100
0.929941332
GHz



Hfr · Φ3 · e(−L·3) · 100
0.752449079
GHz



Hfr · Φ4 · e(−L·4) · 100
0.608833694
GHz



Hfr · Φ5 · e(−L·5) · 100
0.492629306
GHz



Hfr · Φ6 · e(−L·6) · 100
0.398604143
GHz



Hfr · Φ7 · e(−L·7) · 100
0.322524991
GHz



Hfr · Φ8 · e(−L·8) · 100
0.260966605
GHz



Hfr · Φ9 · e(−L·9) · 100
0.211157495
GHz

















TABLE IV





Exemplary Frequencies According to Formula V for Accelerating


or Retarding the Cleavage of a Bond Between


a Hydrogen Atom and Another Atom



















Hfr · Φ1 · e(−L·1) · 100
1.660640437
GHz



Hfr · Φ2 · e(−L·1) · 100
2.68697267
GHz



Hfr · Φ3 · e(−L·1) · 100
4.347613107
GHz



Hfr · Φ4 · e(−L·1) · 100
7.03458577
GHz



Hfr · Φ5 · e(−L·1) · 100
11.38219888
GHz



Hfr · Φ6 · e(−L·1) · 100
18.41678466
GHz



Hfr · Φ7 · e(−L·1) · 100
29.79898354
GHz



Hfr · Φ8 · e(−L·1) · 100
48.2157682
GHz



Hfr · Φ24 · e(−L·1) · 100
0.1064121785
PHz



Hfr · Φ25 · e(−L·1) · 100
0.1721785217
PHz



Hfr · Φ26 · e(−L·1) · 100
0.2785907002
PHz



Hfr · Φ27 · e(−L·1) · 100
0.450762218
PHz



Hfr · Φ28 · e(−L·1) · 100
0.7293599219
PHz



Hfr · Φ29 · e(−L·1) · 100
1.180129144
PHz



Hfr · Φ30 · e(−L·1) · 100
1.909489066
PHz



Hfr · Φ31 · e(−L·1) · 100
3.089618209
PHz



Hfr · Φ32 · e(−L·1) · 100
4.999107274
PHz










In some embodiments, at least one narrow band of electromagnetic frequencies comprising at least one frequency of electromagnetic radiation selected from Formula II and at least one frequency of electromagnetic radiation frequency according to either or both of Formula IV and V is utilized to affect an atom or a molecule. In other embodiments, multiple specific frequencies corresponding to at least one frequency of electromagnetic radiation corresponding to Formula II and at least one frequency of electromagnetic radiation corresponding to either or both of Formulas IV and V are used. In some embodiments the frequencies of electromagnetic radiation selected are selected such that the radiation corresponding to the at least one frequency of Formula II and the frequencies of electromagnetic radiation corresponding to either or both of Formulas IV and V are all within 5% of the largest frequency selected. In other embodiments, the frequencies of Formula II and either or both of Formulas IV and V are all within 10% of the largest frequency selected.


The following formulas (VI-VIII) may be useful in some embodiments for attenuating EMFs and cancelling possible aberrant feedback or cavitation waves during processing. Note that, as discussed in detail above, νp=Afr·Φ±n·ex·10±m.

dy=∫Afr·Φ±n·ex·de  Formula VI.
dy=Afr·Φ±n∫ex·de
dy=Afr·Φ±n·ex·10±m+c, since ∫ex·de=ex+c, wherein x−1, e=2.718 . . . and c=0.













d





y


=


A
fr






(


Φ

±
n


·

e
x


)


d





x













d





y


=




A
fr

·

e


(


ln


(
Φ
)


+
1

)


x





ln


(
Φ
)


+
1


+

c
.







Formula





VII











d





y


=



A
fr

·

e
x








Φ

±
n


·
d






Φ




,




where










Φ

±
n



=



Φ

±
n



ln


(
Φ
)



+
c











d





y


=




(


A
fr

·

e
x


)



Φ

±
n




ln


(
Φ
)



+

c
.







Formula





VIII







The processes of the various embodiments of the invention have varied practical applicability.


In various embodiments of the invention, the process of irradiating a bond with electromagnetic radiation having a frequency according to Formula II may be achieved for any chemical bond, including those in organic and inorganic compounds, and metal alloys. For example, the process may be used to cleave water bonds, including the water bonds of seawater. As a result, in one embodiment of the invention, a process of desalinating seawater is envisioned. Seawater may be irradiated with at least one frequency of electromagnetic radiation according to Formula II, thereby creating hydrogen and oxygen. The hydrogen and oxygen may then be reacted with one another to prepare desalinated water.


In other embodiments of the invention, the process of irradiating bonds with at least one frequency of electromagnetic radiation according to Formula II may be used to cleave the bonds of, by way of non-limiting example, hydrocarbons, alumina (including transparent alumina), hydrogenated silicon, and steel alloys.


In one embodiment of the invention, simple cleavage and dissociation of water into its elemental constituents of hydrogen and oxygen, and in turn into molecular hydrogen and oxygen, can be utilized to prepare hydrogen gas as fuel on demand. In some embodiments, the process of preparing hydrogen gas and oxygen gas can be used to power combustion engines for transportation, such as in an internal combustion engine of an automobile. In other embodiments, the hydrogen and oxygen can be combusted to create electricity for fuel cell technology or in generators for producing electricity. It is contemplated that such embodiments are useful for powering, by way of non-limiting examples, automobiles, personal generators, and utility plants. It is also conceived that the hydrogen and oxygen gases produced by way of the invention can be used in various heating applications.


The combustion of hydrogen gas prepared according to the processes of the invention is advantageous because the hydrogen gas is prepared from an abundant resource: water. Furthermore, the combustion of hydrogen gas is advantageous because it does not produce the byproducts associated with the combustion of fossil fuels. The combustion of hydrogen gas produces only water vapor whereas the combustion of fossil fuels can create, among others, carbon dioxide, carbon monoxide, carbon soot and various hydrocarbons.


In another embodiment of the invention, cleavage and dissociation of water into its elemental constituents of hydrogen and oxygen can be utilized to desalinate or purify seawater or polluted water, respectively. The hydrogen and oxygen gases produced from water by the processes of the invention can be reacted with one another to produce water free of salt and contaminants. In such a manner, purified, desalinated water could be provided on a scale hitherto thought impossible.


In another embodiment of the invention, the process of cleaving selected bonds can be used in various industrial applications, particularly in purification and cleaning processes. By selecting a frequency according to Formula II that corresponds to at least one atom bonded to another in a contaminant and irradiating a contaminated object with electromagnetic radiation having such a frequency, processes of the invention can be utilized to clean or purify the contaminated object. It is also contemplated that the processes of the invention can be used in methods of toxic waste and chemical cleanup.


In one specific embodiment, the process can be utilized to clean an oil spill. Because oil primarily consists of hydrocarbons, the cleaning of an oil spill can be achieved, for example, by selecting at least one frequency of electromagnetic radiation according to Formula II solved for a base frequency of carbon and irradiating the oil spill site with the selected frequency or frequencies. As the carbon-carbon and carbon-hydrogen bonds are cleaved by the irradiation process, volatile hydrocarbons, short chain alcohols, etc. will be formed and will evaporate and/or dissolve.


In certain embodiments of the invention, Formula II is solved for electromagnetic radiation frequencies suitable for strengthening bonds or forming (creating) bonds between a first and a second atom. It is contemplated that the same frequency of electromagnetic radiation utilized to form the bond may also serve to strengthen the same bond. The meanings of the terms in Formula II are as described above for affecting an atom or molecule, generally, as are the techniques for determining the value of the terms to be used in Formula II. In order to strengthen or create a bond between two atoms, Formula II may be solved utilizing a base frequency of the either or both of the first and the second atoms. In order to achieve bond strengthening or bond formation, either or both of the first and second atoms are irradiated with at least one frequency of electromagnetic radiation solved according to Formula II. The irradiation of either or both of the first and second atoms is intended to encompass irradiation of either or both of the first and second atoms that are not bonded to one another as well as either or both of the first and second atoms wherein the first and second atoms are bonded. In certain embodiments, a method of strengthening and/or forming a bond will be achieved by irradiating either or both of the first and second atoms with a frequency of electromagnetic radiation according to Formula II wherein the variable n is a negative integer. The irradiation of either or both of the first and second atoms may be achieved by utilizing a specific frequency of electromagnetic radiation according to Formula II or at least one narrow band of frequencies of electromagnetic radiation encompassing at least the specific frequency of electromagnetic radiation according to Formula II. Furthermore, bond strengthening or bond formation of specific isotopes may be achieved by irradiating either or both of the first and second atoms with an electromagnetic radiation frequency corresponding to a base frequency corresponding to a specific isotope of either or both the first and second atoms.


Formula II may be used to calculate a finite number of specific values of electromagnetic frequencies for each type of atom (i.e. each element). From this finite number of electromagnetic frequencies, a technician with the aid of a tunable electromagnetic radiation frequency generator will be able to simply tune through the given predetermined electromagnetic frequencies corresponding to Formula II for the specific type of atom selected and observe and record which select electromagnetic frequency or frequencies are suitable for bond strengthening or bond formation. Such a technician may simply observe the material for signs of bond strengthening or formation in a number of manners, including by way of non-limiting example observation of precipitate, change in color, change in spectrographic parameters, change in isotropic or allotropic formation, and change in material state of molecule.


Multiple frequencies of electromagnetic radiation according to Formula II may be useful for facilitating bond strengthening or bond formation. Multiple frequencies of electromagnetic radiation for bond strengthening or bond formation may be determined by solving Formula II for the base frequencies of both the first and second atoms. Multiple frequencies of electromagnetic radiation according to Formula II may be determined by solving Formula II for multiple values of n or m, or a combination thereof. The process of bond strengthening and/or bond formation via irradiation of the first and/or second atom with at least one frequency of electromagnetic radiation solved according to Formula II may be accelerated or retarded by also irradiating the first and/or second atom with at least one frequency of electromagnetic radiation according to either or both of Formulas IV and V.


In some embodiments of the invention, when multiple frequencies of electromagnetic radiation are utilized for strengthening or forming bonds, at least one electromagnetic frequency according to Formula II, as well as any electromagnetic radiation frequencies of either or both of Formulas IV and V utilized, are selected such that all frequencies selected are within 5% of largest frequency value selected. In other embodiments, the frequencies selected will all be within 10% of largest frequency value selected. In some embodiments of the invention, the strengthening or formation of a bond will be achieved by irradiating either or both of the first and second atom with a narrow band of electromagnetic radiation that includes all, some or one of the multiple frequencies of electromagnetic radiation used. In other embodiments, the strengthening or formation of a bond will be achieved by irradiating either or both of the first and second atom with the specific electromagnetic radiation frequencies selected therefor.


In certain embodiments of the invention, the method of affecting an atom and/or a molecule by exposing the atom or molecule to electromagnetic radiation involves electromagnetic radiation that may be used to mimic molecules, the molecules having at least a first atom bonded to a second atom. The first and second atoms may be bonded, by way of non-limiting example, via covalent and ionic bonds. In order to mimic a molecule, electromagnetic radiation having at least one frequency according to Formula II is directed at a medium. The medium may be of any sort, including solids, liquids and gases. As a result of being exposed to the at least one frequency of electromagnetic radiation according to Formula II, the medium behaves as though the molecule mimicked is present in the medium. The meaning of the terms found within Formula II are as described above for affecting atoms or bonds, generally, as are the techniques for determining the value of the terms to be used in Formula II. In order to mimic a molecule, Formula II may be solved utilizing a base frequency of either or both of the first and the second atoms of the molecule to be mimicked.


In order to mimic a molecule, a medium may be irradiated with at least one frequency of electromagnetic radiation solved according to Formula II. The irradiation of the medium may be achieved by utilizing a specific frequency of electromagnetic radiation according to Formula II or a narrow band of frequencies of electromagnetic radiation encompassing the specific frequency of electromagnetic radiation according to Formula II. Furthermore, mimicking of molecules comprising specific isotopes may be achieved by irradiating the medium with an electromagnetic radiation frequency corresponding to a base frequency of a specific isotope of either or both of the first and second atoms.


Multiple frequencies of electromagnetic radiation according to Formula II may be useful for mimicking a molecule. Multiple frequencies of electromagnetic radiation useful for mimicking a molecule may be determined by solving Formula II for the base frequencies of both the first and second atoms and/or may be determined by solving Formula II for multiple values of n or m, or a combination thereof. The process of mimicking a molecule with at least one frequency of electromagnetic radiation solved according to Formula II may be augmented (i.e. the mimicking effect is increased) or reduced (i.e. the mimicking effect is decreased) by also irradiating the material with at least one frequency of electromagnetic radiation according to either or both of Formulas IV and V.


In some embodiments of the invention, when multiple frequencies of electromagnetic radiation are utilized to mimic a molecule, the multiple electromagnetic frequencies according to Formula II are selected such that all frequencies selected are within 5% of largest frequency value selected. In other embodiments, the frequencies selected will all be within 10% of largest frequency value selected.


In certain embodiments of the invention, the mimicking of a molecule will be achieved by irradiating the medium with multiple frequencies of electromagnetic radiation according to Formula II. In some embodiments, the medium will be irradiated with at least one narrow band of electromagnetic radiation that includes all, some or one of the multiple frequencies of electromagnetic radiation used. In other embodiments, the mimicking of a molecule will be achieved by irradiating the medium with the specific electromagnetic radiation frequencies selected therefor.


In certain embodiments of the invention, the molecules mimicked are catalysts. Accordingly, by mimicking a catalyst, it is envisioned that the irradiation of a reaction mixture will cause a reaction to proceed as if the catalyst were present. In other embodiments of the invention, the mimicked molecule is an electrolyte. When the mimicked molecule is an electrolyte, the electrolysis of the solution irradiated by a frequency of electromagnetic radiation according to Formula II is facilitated and progresses as it would if the electrolyte mimicked were present. In other embodiments of the invention, the mimicked molecule is a solute. When the mimicked molecule is a solute, the irradiation of the solution with a frequency of electromagnetic radiation according to Formula II comprising the solute may cause the solution to behave as though the solution is saturated and cause the mimicked solute to precipitate.


In general, the frequencies of electromagnetic radiation within the scope of the invention useful for affecting an atom and/or a molecule by exposing the atom or molecule to electromagnetic radiation, including bond cleavage, fall within the range between, and including, Yottahertz (10−24 Hz) and Yottahertz (1024 Hz). Other embodiments employ frequencies falling within ranges such as, by way of non-limiting examples, 10−10 Hz through 1010 Hz, 10−5 Hz through 105 Hz, or 105 Hz through 1020 Hz.


The frequency of the electromagnetic radiation utilized to affect an atom or molecule may be calculated to be accurate to nine significant digits. In other embodiments, the frequency of the electromagnetic radiation may be calculated to be accurate to any of three, four, five, six or seven significant digits. In yet other embodiments of the invention, the electromagnetic radiation having a frequency of Formula II may comprise a narrow band of electromagnetic radiation that includes the frequency determined by Formula II. In yet other embodiments, a material may be irradiated with electromagnetic radiation, where the electromagnetic radiation consists of electromagnetic radiation having a particular frequency, where the electromagnetic radiation consists essentially of electromagnetic radiation having a particular frequency, or where the electromagnetic radiation comprises electromagnetic radiation having a particular frequency.


EXAMPLE

Water was disassociated into molecular hydrogen and molecular oxygen according to the parameters illustrated in Table V below. As demonstrated below, the disassociation of the water was enhanced by the application of electromagnetic radiation to the water concurrently with a current.









TABLE V







Comparison of Disassociation of Water with Current Versus Disassociation of Water


that is Exposed to Both Current and Electromagnetic Radiation of Formula II.










Comparative Example
Enhanced Disassociation













Electromagnetic Frequency
none
variable 30-60 KHz


Current
0.4 amps
0.4 amps


Potential
9.8 volts
9.8 volts


Area of the electrode
251 in2
251 in2


Number of plates per electrode
23
23


Size of each electrode plate
44.70 cm × 75.51 cm
44.70 cm × 75.51 cm


Current density
0.0143 watts/in2
0.0143 watts/in2


Temperature
79.7° F.-89.4° F.
79.7° F.-89.4° F.


Electrode material
400 series Stainless Steel
400 series Stainless Steel


Distance between electrodes
4.60 mm
4.60 mm


Time
1 hr
1 hr


Electrolyte
1 g Na2CO3
1 g Na2CO3


Volume of water
750 mL
750 mL


Gas (H2 and O2) evolved
0.9 g
11.2 g








Claims
  • 1. A method of cleaving a bond between a first atom and a second atom in a molecule of a material, the method comprising: calculating a first electromagnetic radiation frequency, using an equation comprising a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom, wherein the base frequency is based on a maximum wavelength of absorption for the at least one of the first atom and the second atom; directing the first electromagnetic radiation frequency at the material and causing the liquid to cavitate, the first electromagnetic radiation frequency having a frequency equal to the first electromagnetic radiation frequency, wherein the first electromagnetic radiation frequency is sufficient to cleave the bond between the first atom and the second atom,
  • 2. The method of claim 1 wherein the first electromagnetic radiation frequency further comprises a power of the golden mean, the power being an integer.
  • 3. The method of claim 1 further comprising: selecting a second electromagnetic radiation frequency, the second electromagnetic radiation frequency comprising a product of a golden mean and a base frequency associated with at least one of the first atom and the second atom, wherein the base frequency is based on a maximum wavelength of absorption for the at least one of the first atom and the second atom; anddirecting a second electromagnetic radiation at the material and subjecting the material to cavitation, the second electromagnetic radiation having a frequency equal to the second electromagnetic radiation frequency, wherein the first electromagnetic radiation frequency and the second electromagnetic radiation frequency are sufficient to cleave the bond between the first atom and the second atom and cleaving the bond between the first atom and the second atom,wherein the first electromagnetic radiation frequency (ν1) is defined by the equation: ν1=Afr·Φn·e·10m,wherein Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer; and wherein the second electromagnetic radiation frequency (ν2) is defined by the equation: ν2=Bfr·Φj·e·10k,wherein Bfr is a base frequency associated with either the first or second atom, Φ is a golden meane is a natural log base, j is an integer, and k is an integer.
  • 4. The method of claim 3 wherein Afr is associated with the first atom and Bfr is associated with the second atom.
  • 5. The method of claim 4 wherein Afr and Bfr are different.
  • 6. The method of claim 3 wherein Afr and Bfr are the same; m and k are the same; and n and j are different.
  • 7. The method of claim 3 wherein Afr and Bfr are the same; n and j are the same; and m and k are different.
  • 8. The method of claim 3 wherein at least one of m and k are zero.
  • 9. The method of claim 3 wherein n and j are nonnegative integers.
  • 10. The method of claim 1 wherein one of the first or second atoms is a hydrogen atom and the other of the first or second atoms is an oxygen atom.
  • 11. The method of claim 10 wherein the hydrogen atom and the oxygen atom are part of a water molecule and the material is water.
  • 12. The method of claim 11 further comprising subjecting the water to a magnetic field.
  • 13. The method of claim 12 wherein the electromagnetic field is pulsed.
  • 14. The method of claim 13 wherein the electromagnetic field is pulsed at a frequency (νp) according to the formula: νp=Afr·Φn·e·10m,wherein Afr is a base frequency associated with an atom in a water molecule, Φ is a golden mean, e is a natural log base, n is an integer, and m is an integer.
  • 15. The method of claim 11 further comprising causing electrical current to flow through the water.
  • 16. The method of claim 1 wherein the bond to be cleaved is not a silicon-hydrogen covalent bond and ν1 is not 6.2×102 THz.
  • 17. The method of claim 1 further comprising: calculating a second electromagnetic radiation frequency (ν″), the second electromagnetic radiation frequency being defined by the equation: ν″=Afr·Φx·e−Lt·10y; and directing the second electromagnetic radiation frequency at the material, the second electromagnetic radiation frequency having a frequency equal to the second electromagnetic radiation frequency, wherein Aft is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, t is equal to n, x is an integer, and y is an integer.
  • 18. The method of claim 1 further comprising: calculating a second electromagnetic radiation frequency (ν′″), the second electromagnetic radiation frequency being defined by the equation: ν′″=(Afr·Φa·L−1)·10be−L; anddirecting the second electromagnetic radiation frequency at the material, the second electromagnetic radiation frequency having a frequency equal to the second electromagnetic radiation frequency,wherein Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, L is the natural log of two, a is an integer, and b is an integer.
  • 19. The method of either claim 17 or 18 wherein the first electromagnetic radiation and the second electromagnetic radiation are directed at the material concurrently.
  • 20. The method according to claim 1, further comprising the processes of Formula VI, Formula VII and Formula VIII for attenuating EMFs and cancelling possible aberrant feedback or cavitation waves during processing of the method.
  • 21. A method of electrolyzing water, the method comprising: frequency (ν1) is defined by the equation: ν1=Afr·Φn·e·10m wherein Afr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, n is a nonnegative integer, and m is a nonnegative integer;selecting a second frequency (ν2) defined by the equation: ν2=Bfr·Φj·e·10k,wherein Bfr is a base frequency associated with either the first or second atom, Φ is a golden mean, e is a natural log base, j is a nonnegative integer, and k is a nonnegative integer;
RELATED APPLICATIONS

The present application claims priority to U.S. Provisional Application No. 60/820,918 entitled “System For And Method Of Affecting Molecules And Atoms With Electromagnetic Radiation” to Young, filed Jul. 31, 2006, the disclosure of which is incorporated herein in its entirety.

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Related Publications (1)
Number Date Country
20080245654 A1 Oct 2008 US
Provisional Applications (1)
Number Date Country
60820918 Jul 2006 US