The Science Behind the Lakhovsky Resonator

I have always found the Lakhovsky coil to be fascinating.  While I originally wrote it off as being overly simplistic to do anything, as I started to deeply understand how electroculture works, I realized that this little coil can be quite powerful in the world of electroculture.  As time progressed, without spending time reading about it, I eventually figured out that it's really a resonant circuit, or self-resonating antenna. Perhaps one of the reasons I'm drawn into this is being fascinated with the science behind all things electroculture, or perhaps it's because I used to be a ham or amateur radio operator and I thought it was interesting that there was a relationship there.  In any case, I have found the science behind the simple coil to be extraordinarily fascinating.

What is a Lakhovsky Coil? 

In date, a man by the name of Georges Lakhovsky discovered that simple coils of wire can be used to improve the health of people and plants, and even affect the taste and flavor characteristics of certain materials or liquids (e.g. wine).  Here's a picture of the original Lakhovsky coil:

 In this article we're going to focus on how these simple yet fascinating coils affect biology...

Magnetic Circuits in Biology 

It's worth saying a few words about the applications of the beloved L-coil and similar bio-antenna devices.  Since 1925, Lakhovsky showed that oscillator circuits consisting of single-turn loop antennas, or multi-turn spirals and the like had great healing abilities upon not only plants, which is the focus of my work so far, but also on animals (racehorses), and humans as well.

What's interesting about the experiments is that the effects seems to be based not only on well-known classical science based effects, but also subtle-science effects as well, as shown through the results of Raman laser spectroscopy of the oscillator's effects on the structure of water molecules.  In this post we're going to focus on the former effects... upon plant-life.

Naturally-Occurring Magnetic Oscillator Circuits

Researchers have known for a long time that a number of animals have the ability to sense direction based on Earth's geomagnetism.  All sorts of animals have been discovered with these abilities - from (homing) pigeons, to lemmings, to peacock butterflies and beyond.  How do they do this?  There are likely a number of physical mechanisms at work here.  For instance, some naturalists have found that the semi-circular sections of some animals' ears, of the spiral-curves of some insects antennae may be part of the natural sensing technology.  The explanations below will help explain what may actually be going on with these various animals and their ability to direct themselves, geomagnetically.

Magnetic Fields Affect Plant Biology

According to the book "Plant Cell Walls" By Peter Albersheim, Alan Darvill, Keith Roberts, Ron Sederoff, Andrew Staehelin... the resonant frequency (in Hz) of a nucleus is directly proportional to the intensity of the magnetic field at the nucleus.  This is where the captured resonant energy from natural electromagnetic radio signals is coupled into the plant's metabolism.  There's more, "Typically, the various nuclei in a molecule have slightly different resonant frequencies as they're exposed to different magnetic field intensities... This slight change in frequency is called the Chemical Shift, as it provides information regarding the chemical environment of the nucleus, encoded as a shift in the position of its NMR signal."

In the paper, "Influence Of Ca2+ Cyclotron Resonance-Tuned Magnetic Fields On Germination And Growth Of Wheat Seedlings", researchers document that different types of seeds and plants have physiological responses to magnetic fields in the form of germination and development changes.  They posit that the mechanism, different yet related to the paper above, is what's called geomagnetic ion cyclotron resonance (ICR) theory.  What it basically says is that there is an electrophysiological response of certain ions, i.e. calcium, potassium, or zinc, which can be altered by the biological action of low-frequency magnetic fields.  This makes perfect sense to me because in my book I describe many of the physiological changes that can occur as a result of what's called electro-chemical signaling patterns, particularly those related to the flow of calcium ions throughout the plant (calcium ions are a crucial regulator of growth and development).  Specifically, what happens is that there are interactions that occur in the relation between the static / magnetic fields present in the cell's environment.  The interaction between these fields which affect calcium-sensitive ion channel proteins in the cell membrane causing  different rhythmic forms of ionic fluid flow.

In ICR theory, the physiological ionic activity of particular ions can be altered when the ratio of the applied signal frequency of the alternating component to the magnetic flux density of the static component is equal to the ionic charge-to-mass ratio.  That's a mouthful!  So what this means is that the Calcium signaling that occurs within the plant can be influenced by the the interaction between the frequency of the magnetic L- coil, and the particular geomagnetic flux density that's present at any particular place.  They offer the following formula: 

ICR Frequency Calculation

With this knowledge, it then becomes possible to calculate calcium's ICR frequency based on the harmonic (n), the charge (q) & mass (m) of the calcium ion, and the static magnetic field (B) at a particular location.  If desired and one were to take the magnetic measurements of their specific location, there could be opportunities for optimizing the sizing of the L-coil, using the formula above and the L-coil's resonant frequency formula.

The Science of the Lakhovsky Coil

Lakhovsky Coil Basics

So, what is the Lakhavsky coil, or as I call it, the L-coil.... technically?  It's essentially an inductor-capacitor circuit, also known as a resonant or tuned circuit.  Here's the circuit diagram for it:

Here's a description of how it works:  L is called the inductance, and in this case, it's in the form of a single-turn loop or coil.  C is for the capacitance and is based on the amount of exposed wire and the distance between the wires.  In combination, when perfectly tuned, it causes an electromagnetic oscillation that circulates electrical current to and fro throughout the circuit:

Source

This isn't the only activity that's taking place, it also acts as a magnetic antenna that interacts with local geomagnetic field fluctuations.   The image below shows a visualization of multiple concentric L-coils (multi-wave configuration).

Source: Multiwave Research 

It also couples to the magnetic field portion of nearby incident radio waves through the induction of electrical current in the wires via Faraday's Law of Induction.  Of course there could also be inter-resonance effects from the plant itself too, perhaps depending on which signal is more dominant at the time.  In any case, the circuit acts as a both a receiver and a transmitter, taking the circuit's natural resonant frequency and it's local magnetic field-based modulations, and coupling that energy into the plant's seed, stem & roots.

Resonant Frequency Calculation

So while the section above described how cells' resonant frequencies are affected by the interaction between the magnetic fields in a given locale, I'll now describe how the L-coil circuit's resonant frequency can be calculated.

The resonant frequency (in Hertz) of a tuned circuit is:

{\displaystyle f_{0}={\frac {\omega _{0}}{2\pi }}={\frac {1}{2\pi {\sqrt {LC}}}}.}

Where the inductance (L) is in Henries and the capacitance (C) is in Farads.  So for a circular loop resonant antenna, the inductance (in microHenries) can be calculated using the following formula where s = length of side of loop(in inches); d = conductor dia(in inches):

 L=0.047 s log (1.18s/d)

Source

For those interested in playing around with some numbers, there are a number of online tools available to make the calculations easier to obtain, e.g. https://www.eeweb.com/tools/loop-inductance 

One thing awesome about this online calculator is that it covers many different types of inductances, from circular rings to square rings and so on.  I found it interesting that these loops don't necessarily don't have to be round, as other shapes are acceptable too.  If you want to play with calculations yourself, the use of square rings would make the math a little easier.

While there are many possible variations, Lakovsky himself, after much experimentation, found that a 30cm loop (approx 12 inches) captured the range of frequencies that fell within the resonant frequencies of the plants' cells.  This oscillating magnetic field then reinforces the resonant oscillations naturally produced within the nucleus of germanium plant cells.    

Loop antenna properties:

 

Loop Antenna and its radiation pattern

Source

As you can see above, for a single or multi-turn loop antenna / resonant circuit the cross-section of the radiation pattern around the wire is shown on the rightmost diagram.  What it shows is that the magnetic field surrounds the wire on both sides, creating a "donut" of concentrated magnetic field energy. When a plant is placed in the middle of such an antenna, it's stem and roots get exposed to it.

Design Parameters

Size & Shape

Loop antennas can be in the shape of a circle, square, or any closed geometric shape of size = 1 wavelength.  If we were to apply this wavelength to the size of the L-coil, where 30cm is considered 1 wavelength, using the simple formula of frequency = 1/wavelength, the result is about 33 Hz.

Loop Angle

Regarding the angle of the loop, in the original design, the coil is supposed to be set at an angle, perhaps something like 20 degrees which causes the the antenna to become polarized on an angle normal to the loop face., with sharp nulls along the axis of the loop.  Perhaps there was a reason to do this based on his latitude.  In practice though, laying the coils flat on the ground or in a flat elevated position above the ground works well.

Air Gap

We haven't yet talked about the capacitance portion of the equation.  Capacitance stores incoming electrical energy and eventually releases it.  The combination of the magnetic storage of the coil and the electrical storage of the capacitance is what makes this simple circuit work.  In the case of the Lakhovsky coil, the source of capacitance is the air-gap between the ends of the coil, which depending upon the style of air gap, works essentially like a parallel plate-type capacitor.  This causes the reception of the circuit to be "narrow-band", sensitive to only a very specific frequency.  

Wire Thickness

The last design parameter is the thickness of the wire.  It's present in the inductance design equation above as the "d" term in the equation.  Depending on the frequency of the loop, this comes into effect, yet in general, doubling the conductor diameter increases the gain.

As a side-note, It's interesting that these types of antennas are also used at much higher (microwave) frequencies where they are called split-ring resonators (SRRs).  Source: Electrically Small Resonators for Planar Metamaterial, Microwave Circuit and Antenna Design: A Comparative Analysis

Looking into  that area of study we can gain some additional insights.  Coils can be in the form of multiple concentric rings, like those from Lakhovsky's Multiwave Oscillator (MWO), a turn-of-the-century healing energy device. 

Split Ring Resonator (SRR) Coils and Schematic
Split Ring Resonator (SRR) Coils and Schematic

Power transfers between the rings occurs through resonance, without radiating any electromagnetic waves.  Designs of this type are called single-circle SRRs and the most efficient is the double-circle SRR (2-levels of concentric SRRs).  Perhaps that's the future for the next-generation of L-coils - double-circle based ones that can introduce more power into the plant... yet that's something that has yet to be tested for efficacy.

Lakhovsky Coil Variations

In practice, people use Lakovsky coils of many different sizes and shapes.  

 And as you can see, there are many ways in which they can be constructed.

Antenna Design parameters:

  • Material
    • Ferromagnetic vs Diamagnetic material types? Andy Baco on youtube has an interesting video showing the effect of the coil's magnetic field upon a compass, based on the material.
    • Copper is a diamagnetic metal and cannot be magnetized.  Benefit of copper is that it doesn't rust, develops a covering called copper oxide that appears green or black.  
    • Others find success with iron wire, which can be magnetized.
    • Solid wire vs tubing
    • Thicker gauge of wire correlates to broader antenna bandwidth
    • Insulated wire can be used, but it will make the antenna appear to be physically shorter at the resonant point (about 2% shorter).  Adds to physical strength of wire, making it last longer.
  • Physical coil dimensions: Vary...
    • Inner circle diameter >= 7"
    • Ends must overlap >= 4"
      • Others suggest an overlap of 2" (for health, per: this paper where they describe a bunch of health benefits), and still others show an overlap of just the wire ends, or probably 1/16" to 1/8".
    • Gap between overlapping wires = between 1 - 1.25 "
Oscillating Circuit Coils

Source: https://www.loohan.com/osc.htm

A number of reference designs can be found on the web..

  • 6mm copper tubing of length 30cm, with 4cm overlap = good for plant growth and development (via Multiwave Research)
Lakhovsky Coil 

Types of coil antennas used in electroculture:

  • single-turn coils
  • multi-turn coils
  • overlapping wire-ends
  • separated wire-ends
  • Multi-wave oscillators 

While the single-turn coil is obvious, based on the above pictures and the like, some use multi-turn coils.  Multi-turn tends to be used in the most frequent use-case with trees where the wires are wrapped around a tree, usually with the ends separated by a good distance, as in a spiral configuration.  Other times in the form of short (2-3 turn) coils, the ends can be placed near each other where they are often pointed to either the North or the South.

With regards to the overlap, generally, the wires can be overlapped in parallel in the same plane as they are in the photos above, or, like in the way it was done for Lakhovski's wine vitalizer, the tubes can be turned down (or up), putting them in parallel, 90 degrees out.   

Lakhovsky's Wine Bonifier
Lakovsky's Wine Bonifier - to accelerate the aging of wines, improving flavor!

You will oftentimes see that L-coils don't even overlap at all, in which case there is a distance of approximately an inch between the ends of the coils.  This is seen on many plant experimenters' setups, as well as in the realm of copper coil jewely where wrist bangles are left open-ended to create a lower capacitance connection.

Lastly, there are the multi-wave oscillators (SRRs) which consists of concentric open-gap single-ring coils, with their openings alternating up & down.  These circuits create multiple frequency resonances that are used for bathing a subject in a wide array of healing frequencies.

 Conclusion

In summary, this article explains the details of what Lakovsky coils do, how they can be designed, the science of the interactions between the coil's energy and the plant's physiology, and so on.  This article also shows the basis for designing optimized versions to fit into different operational scenarios.  

As I finish the writing of this, I find myself more interested in the specific frequency ranges that can be used for particular plant functions.  In the human healing world we have radionic and rife devices that generate all sorts of particular frequencies for many types of ailments.  In the plant-science world, the same exists as well!  I'd like to see the next step happen where we move from single coils that are focused on a generic stimulation of the plant's calcium signaling mechanism, to more a more tailored approach.  For instance, perhaps we can collectively experimentally determine which sizes, types, and materials of L-coils work best for a given range of plants.  Then, perhaps there are add-on frequencies that can be used to add additional immunities, or to stimulate plants in a particular manner, like changing or improving flavor profiles.   

 

Thanks for your time, I hope you enjoyed this!  To learn more about electroculture, also known as electro-horticulture, continue to browse through the articles here on ElectricFertilizer.com, or consider buying my book, Electro-Horticulture: The Secret to Faster Growth, Larger Yields, & More... Using Electricity!

  

Sources:

http://desertrats.us/wire-antennas/

https://en.wikipedia.org/wiki/LC_circuit

https://educate-yourself.org/be/lakhovskyindex.shtml

- Influence of Ca2+ Cyclotron Resonance-Tuned Magnetic Fields on Germination and Growth of Wheat Seedlings

- The Secret Lakhovsky

 - Split Ring Resonator Design for Agricultural Based Applications

- L-coil Photo credits:  1, 2, 3, 4, 5, 6

 

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