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SONU MEENA (M21PH028)
INDIAN INSTITUTE OF TECHNOLOGY
JODHPUR
TOPIC:-
1. Organic Farming - A Sustainable
Business Idea for Villagers
2. Introduction:-
Rural villages have the potential to contribute to the growing demand for locally
sourced, sustainable food by starting an organic farm. The concept of organic farming
aligns with the trend towards sustainable food systems and provides an opportunity for
villagers to generate a sustainable source of income while promoting healthy eating
habits and fostering a sense of community. In this report, we will explore the potential
benefits of starting an organic farm in a village, as well as the steps involved in setting
up this try
3.Market Research:-
Before starting an organic farm, it is important to conduct market research
to identify the crops that are in high demand in the local area and nearby cities. Research can
be conducted by reviewing local food trends, visiting farmer's markets, and speaking with potential
customers. Additionally, the farm could consider growing niche or specialty crops that can
differentiate the farm from other local producers. Surveys can also be conducted to gauge interest in
organic produce and value-added products.
4.Farm Setup:-
Once the market research is completed, the villagers should identify a suitable
plot of land for farming. The farm should be equipped with the necessary tools, such as seeds, tools,
and irrigation systems. A plan for crop rotation, pest control, and soil management should also be
established. The farm should aim to use organic farming practices that minimize the use of synthetic
fertilizers and pesticides and focus on soil health and biodiversity.
5.Production:-
Initially, the farm should start by growing a few crops that are in high demand,
such as tomatoes, cucumbers, and peppers. The farm could also consider growing niche or specialty crops
such as exotic fruits, herbs, or spices. The farm could also explore opportunities to increase production, such
as greenhouse growing or vertical farming. Crop diversification is important to minimize risks and ensure a
consistent supply of products throughout the year.
6.Value-Added Products:-
The farm could process some of the harvest into value-added
products like jams, jellies, and pickles. By doing so, the farm can create additional products to sell and
increase its profits. The farm could also partner with local chefs or restaurants to create farm-to-table
products or dishes. The farm could also explore other value-added products that can be created from the
farm's produce, such as natural cosmetics or health supplements. Value-added products can help
differentiate the farm from other producers and create additional revenue streams.
7.Marketing and Sales:-
Marketing plays a crucial role in promoting the farm's products. The farm
could use social media, farmer's markets, and online marketplaces to promote its products. The farm could
also offer tours of the farm to visitors or create a farm-to-table restaurant to showcase the farm's produce.
The farm could explore ways to expand sales beyond the local area, such as partnering with online retailers or
participating in food trade shows. Effective marketing and sales strategies can help increase brand
recognition and attract new customers.
8.Financial Planning:-
Starting an organic farm requires a significant financial investment. Villagers
should develop a financial plan that outlines the costs involved in starting and running the farm. The
financial plan should include the costs of land acquisition, equipment, supplies, labour, and marketing.
Villagers should also explore financing options, such as loans or grants, to help cover the initial costs of
starting the farm. The financial plan should include projections for revenue and expenses and aim to break
even within a reasonable timeframe.
9.Conclusion:-
Starting an organic farm is a promising business opportunity for villagers. It not
only creates a sustainable source of income but also promotes healthy eating habits and fosters a
sense of community. With proper planning and execution, an organic farm can be a successful
business venture for villagers. The key to success is to conduct thorough market research, establish
efficient farming practices, develop a marketing strategy, and maintain a sound financial plan.
Origins of exchange interaction
1.Antiferromagnetic
very strong at short distance
due to reduction of the Coulomb repulsion
force between electrons of opposite spin
2.Ferromagnetic (long distance),
antiferromagnetic (short distance)
due to spin dependence of the Coulomb attraction
force between electrons and atomic nuclears
For longer distances, the repulsion energy is reverse proportional to
distance between electrons E~1/x and it is spin-independent.
For shorter distance, the energy is spin dependent. In the case of the opposite
spins (blue line), the repulsion vanishes at shorter distances. In the case of
the parallel spins (red line), the repulsion become infinitely large at shorter
distances
Quantum Mechanics distinguish between two particles:-
In Quantum mechanics a system of many electrons describes by a single wavefunction.
There is Coulomb repulsion between each two electrons. Therefore, there is an interaction
between parts of this function. In contrast, the an elementary particle (one electron) is
described by a wavefunction as well, but this wavefunction does not describes any internal
interaction.
A single elementary particle is described by a single wavefunction with spatial coordinates (x1,y2,z2). The
wavefunction describes the interaction of the particle only with external objects, but not any intrinsic interaction.
Another elementary particle is is described by a different wavefunction with different spatial coordinates
Two electrons of opposite spins, when combined, form an elementary
particle without spin.
Each quantum state can be occupied by two electrons of opposite spins.
When a quantum state is occupied by one electron, it is an elementary particle with charge -e and spin=1/2
When a quantum state is occupied by two electrons, it is an elementary particle with charge -2e and spin=0
Mathematically the process when two electrons of opposite spins combine and
create one elementary particle without spin ("full" state) can be understood as
follows.
Two electrons with opposite spins, which occupy different states, are described by
two spinors
They are described by different sets of coordinates (x1,y1,z1) and (x2,y2,z2). It
means they are two elementary particles, which interact with other.
When these two electrons of opposite spins occupy one state, they are described by a
scalar wave function, which is product of spinors (1.1) and (1.2)
it is explained why the wave function of two electrons is either symmetric or antisymmetric depending on
mutual spin directions. This property of wave function is originated from the dual nature of electrons and
the fermion nature of an electron.
Dual nature of an electron: Wave
or Particle
Imaginary case 1: If electron were only a particle, not a wave
Possibility 1:
Each electron is an individual elementary particle, which is clear distinguished from any other
electrons. In this case the electron should have an individual clear- distinguished wave function.
The wavefunction of a system of electrons is a vector, each element of which is the individual
wavefunction of each electrons.
Possibility 2:
Probability of each electron to be at a spatial point can be independently defined
Then, the probability that 1st electron will be at point r1, 2d electron will be at point r2 and 3d electron
will be at point r3 will be
Wavefunction of a system of two electrons in the vicinity of two nuclears. Imaginary case of
electron as only a particle, not a wave
Each electron is distributed around one nuclear. There is an overlap of electron wavefunction in the middle
Imaginary case 2: If electron were only a wave, not a particle
In this case the electrons form one join field of "all electrons". The field is only one and each electron is a part of
this field. Therefore, each electron mimics the distribution of the common field and the spacial distributions of each
electrons are the same.
It is similar to the electrical or magnetic field. The "all electrons" fields induced by different sources sum up each
other.
Therefore, if we assume that there is "all electrons" field and each electron as a wave particle is a part of this field,
the wavefunction of three electrons will be
Wavefunction of a system of two electrons in the vicinity
of two nuclears. Imaginary case of electron as only a
wave, not a particle
There is no any difference between electron 1 and electron 2. Their
wave functions are exactly the same
Case 3: the real electron: between a wave and a particle
Spin. Spin symmetry. Symmetric and antisymmetric wave functions.
When two electrons approach each other, they form a common quantum field, which has a defined spin. The spin
of a system of two electrons can be either 0 or 1. An object with a spin has specific properties symmetry for of its
wavefunction., that a wavefunction of a system of two identical particles is symmetric when the spin of the system
is zero and it is asymmetrical when spin is 1.
Therefore, the system of two electrons is described by a spinor (which is similar to Eq.3.1, but it also includes the
spin-symmetry properties). In the case of two electrons, the spinor of rank two has two wave functions:
symmetrical and asymmetrical.
The symmetric wave function, which corresponds to the case of antiparallel spins of the electrons and total spin
equals zero, is
The antisymmetric wave function, which corresponds to the case of parallel spins of the electrons and total spin
equals to one, is
Spin=0. Symmetric wavefunction Spin=1. Asymmetric wavefunction
Ferromagnetic exchange interaction between localized electrons due to Coulomb attraction to nuclear
The energy of the attractive Coulomb interaction between electrons and nuclears is negative.When the probability of
electrons to be in the vicinity of nuclears is higher, the interaction between electrons and nuclears is stronger and the
interaction energy is lower.The exchange interaction forces the electron spins into the state of a lower energy.
1. Case of ferromagnetic exchange interaction. A longer distance between nuclears.
In this case maximus of the asymmetric wave function of the ferromagnetic state is at the positions of nuclears. At the
middle between nuclears the asymmetric wave function becomes zero.The the symmetric wave function of the
antiferromagnetic state has two peaks and the valley between them. However, the probability for an electron between
nuclears is higher for the antiferromagnetic state and the probability to be in the vicinity of the nuclears is higher for
ferromagnetic state.Therefore, the interaction is stronger and the energy is lower for the ferromagnetic state.
2. Case of antiferromagnetic exchange interaction. A shorter distance between nuclears.
For the symmetric wave function of the antiferromagnetic state, the valley disappeared and there is only one peak.
Both nuclears are near maximum of this peak. The probability of electrons be in the vicinity of nuclears is high.
The asymmetric wave function of the ferromagnetic state still has two peaks with a valley between them. The
nuclears are near the minimum of the valley. The probability of electrons be in the vicinity of nuclears is low.
Therefore, the interaction is stronger and the energy is lower for the antiferromagnetic state.
Probability to find one electron at coordinate x1 and second electron at coordinate x2=-x1-d, where d
is distance between nuclears. (right) Coulomb attraction energy between electrons and nuclears as
function of distance between nuclears.
Animation parameter: Distance between two nuclears. Black balls show the positions of nuclears.
Comparison between different representation of an electron
Probability of one electron to be at point x1 and second electron at point x2
black balls show position of nuclears
as a wave as a particle real electron
between a wave and a
particle
3.Origin of weak moderate ferromagnetic exchange interaction
There is a moderate/small ferromagnetic exchange interaction between electrons due spin- dependent the
Coulomb's repulsion between electrons at a longer distance
Its origin explained Due to fermion nature of an electron, the wave function of two electrons is symmetrical,
when spin are antiparallel, and the wave function is antisymmetric, when spin are parallel. The Coulomb's
repulsion between electrons is smaller when a distance between electrons is longer. In the case of
antisymmetric wave function (parallel spins) the average distance between two electrons is a little bit longer
(red line of Fig. 7 ) than for the case of symmetric wave function (antiparallel spins) (blue line of Fig. 7 ) .
Therefore, the Coulomb's repulsion energy is smaller parallel spins. It forces the spins to align
ferromagnetically
Each electron should not be considered as an individual object. Only the Quantum Field of All Electrons is an object, which can
divided into a number of electrons. There are many possibilities how the Quantum Field of Electrons can be divided into particles
(electrons).
Similar, the electromagnetic field could also be divided into particles (phonons) and there are many possibilities how to divide the
field into the photons.
In contrast to photons, which do not interact with each other, the electrons repels each other. Therefore, the energy of the
Under different conditions (different spin direction or different external field), the division the Quantum Field of
Electrons into particles (electrons) corresponding to a lowest energy might be different.
Therefore, a different total spin of a system of several electrons corresponds to a different division the Quantum Field
of Electrons into particles (electrons) and a different distribution of wave functions of these particles (electrons).
Since for the different spin the electron distributions become different, the Coulomb's interaction between the
electrons become different as well. It makes the Coulomb's interaction to be spin-dependent.
Bethe–Slater curve
This empirical curve shows that for a shorter distance between the localized electrons of metals are ferromagnetic
and at a shorter distance it is antiferromagnetic.
It is empirical curve, which
represents the measured
exchange interaction as
distance between localized
electrons
2. Origin of moderate ferromagnetic exchange interaction
due to spin- dependent the Coulomb's attraction between electrons
and nuclears
There is a moderate exchange interaction between electrons due spin -dependent
the Coulomb's attraction between electrons and nuclears. Usually it is
ferromagnetic, but it could be antiferromagnetic at a short distance between
nuclears in a crystal lattice.
Its origin is explained as follows: Due to fermion nature of an electron, the wave function of two electrons is
symmetrical, when spin are antiparallel, and the wave function is antisymmetric, when spin are parallel. When two
localized electrons are located at two neighbor atoms, antisymmetric wave functions means that probability to find
electrons is smaller at point, which is between atoms, than at point in the vicinity of nuclear. In contrast,
symmetrical wave functions means that probability to find electrons is nearly the same between atom and in the
vicinity of nuclear. Therefore, when spins are parallel, the probability for an electron be at vicinity of nuclear is
larger and the absolute value of the negative nuclear-electron interaction energy becomes larger comparing to the
case of the antiparallel spins. It forces the spins to align ferromagnetically.

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Presentation1 (1).pptx

  • 1. SONU MEENA (M21PH028) INDIAN INSTITUTE OF TECHNOLOGY JODHPUR TOPIC:- 1. Organic Farming - A Sustainable Business Idea for Villagers
  • 2. 2. Introduction:- Rural villages have the potential to contribute to the growing demand for locally sourced, sustainable food by starting an organic farm. The concept of organic farming aligns with the trend towards sustainable food systems and provides an opportunity for villagers to generate a sustainable source of income while promoting healthy eating habits and fostering a sense of community. In this report, we will explore the potential benefits of starting an organic farm in a village, as well as the steps involved in setting up this try
  • 3. 3.Market Research:- Before starting an organic farm, it is important to conduct market research to identify the crops that are in high demand in the local area and nearby cities. Research can be conducted by reviewing local food trends, visiting farmer's markets, and speaking with potential customers. Additionally, the farm could consider growing niche or specialty crops that can differentiate the farm from other local producers. Surveys can also be conducted to gauge interest in organic produce and value-added products.
  • 4. 4.Farm Setup:- Once the market research is completed, the villagers should identify a suitable plot of land for farming. The farm should be equipped with the necessary tools, such as seeds, tools, and irrigation systems. A plan for crop rotation, pest control, and soil management should also be established. The farm should aim to use organic farming practices that minimize the use of synthetic fertilizers and pesticides and focus on soil health and biodiversity.
  • 5. 5.Production:- Initially, the farm should start by growing a few crops that are in high demand, such as tomatoes, cucumbers, and peppers. The farm could also consider growing niche or specialty crops such as exotic fruits, herbs, or spices. The farm could also explore opportunities to increase production, such as greenhouse growing or vertical farming. Crop diversification is important to minimize risks and ensure a consistent supply of products throughout the year.
  • 6. 6.Value-Added Products:- The farm could process some of the harvest into value-added products like jams, jellies, and pickles. By doing so, the farm can create additional products to sell and increase its profits. The farm could also partner with local chefs or restaurants to create farm-to-table products or dishes. The farm could also explore other value-added products that can be created from the farm's produce, such as natural cosmetics or health supplements. Value-added products can help differentiate the farm from other producers and create additional revenue streams.
  • 7. 7.Marketing and Sales:- Marketing plays a crucial role in promoting the farm's products. The farm could use social media, farmer's markets, and online marketplaces to promote its products. The farm could also offer tours of the farm to visitors or create a farm-to-table restaurant to showcase the farm's produce. The farm could explore ways to expand sales beyond the local area, such as partnering with online retailers or participating in food trade shows. Effective marketing and sales strategies can help increase brand recognition and attract new customers.
  • 8. 8.Financial Planning:- Starting an organic farm requires a significant financial investment. Villagers should develop a financial plan that outlines the costs involved in starting and running the farm. The financial plan should include the costs of land acquisition, equipment, supplies, labour, and marketing. Villagers should also explore financing options, such as loans or grants, to help cover the initial costs of starting the farm. The financial plan should include projections for revenue and expenses and aim to break even within a reasonable timeframe.
  • 9. 9.Conclusion:- Starting an organic farm is a promising business opportunity for villagers. It not only creates a sustainable source of income but also promotes healthy eating habits and fosters a sense of community. With proper planning and execution, an organic farm can be a successful business venture for villagers. The key to success is to conduct thorough market research, establish efficient farming practices, develop a marketing strategy, and maintain a sound financial plan.
  • 10. Origins of exchange interaction 1.Antiferromagnetic very strong at short distance due to reduction of the Coulomb repulsion force between electrons of opposite spin 2.Ferromagnetic (long distance), antiferromagnetic (short distance) due to spin dependence of the Coulomb attraction force between electrons and atomic nuclears
  • 11. For longer distances, the repulsion energy is reverse proportional to distance between electrons E~1/x and it is spin-independent. For shorter distance, the energy is spin dependent. In the case of the opposite spins (blue line), the repulsion vanishes at shorter distances. In the case of the parallel spins (red line), the repulsion become infinitely large at shorter distances Quantum Mechanics distinguish between two particles:- In Quantum mechanics a system of many electrons describes by a single wavefunction. There is Coulomb repulsion between each two electrons. Therefore, there is an interaction between parts of this function. In contrast, the an elementary particle (one electron) is described by a wavefunction as well, but this wavefunction does not describes any internal interaction. A single elementary particle is described by a single wavefunction with spatial coordinates (x1,y2,z2). The wavefunction describes the interaction of the particle only with external objects, but not any intrinsic interaction. Another elementary particle is is described by a different wavefunction with different spatial coordinates
  • 12. Two electrons of opposite spins, when combined, form an elementary particle without spin. Each quantum state can be occupied by two electrons of opposite spins. When a quantum state is occupied by one electron, it is an elementary particle with charge -e and spin=1/2 When a quantum state is occupied by two electrons, it is an elementary particle with charge -2e and spin=0
  • 13. Mathematically the process when two electrons of opposite spins combine and create one elementary particle without spin ("full" state) can be understood as follows. Two electrons with opposite spins, which occupy different states, are described by two spinors They are described by different sets of coordinates (x1,y1,z1) and (x2,y2,z2). It means they are two elementary particles, which interact with other. When these two electrons of opposite spins occupy one state, they are described by a scalar wave function, which is product of spinors (1.1) and (1.2)
  • 14. it is explained why the wave function of two electrons is either symmetric or antisymmetric depending on mutual spin directions. This property of wave function is originated from the dual nature of electrons and the fermion nature of an electron. Dual nature of an electron: Wave or Particle Imaginary case 1: If electron were only a particle, not a wave Possibility 1: Each electron is an individual elementary particle, which is clear distinguished from any other electrons. In this case the electron should have an individual clear- distinguished wave function. The wavefunction of a system of electrons is a vector, each element of which is the individual wavefunction of each electrons.
  • 15. Possibility 2: Probability of each electron to be at a spatial point can be independently defined Then, the probability that 1st electron will be at point r1, 2d electron will be at point r2 and 3d electron will be at point r3 will be Wavefunction of a system of two electrons in the vicinity of two nuclears. Imaginary case of electron as only a particle, not a wave Each electron is distributed around one nuclear. There is an overlap of electron wavefunction in the middle
  • 16. Imaginary case 2: If electron were only a wave, not a particle In this case the electrons form one join field of "all electrons". The field is only one and each electron is a part of this field. Therefore, each electron mimics the distribution of the common field and the spacial distributions of each electrons are the same. It is similar to the electrical or magnetic field. The "all electrons" fields induced by different sources sum up each other. Therefore, if we assume that there is "all electrons" field and each electron as a wave particle is a part of this field, the wavefunction of three electrons will be Wavefunction of a system of two electrons in the vicinity of two nuclears. Imaginary case of electron as only a wave, not a particle There is no any difference between electron 1 and electron 2. Their wave functions are exactly the same
  • 17. Case 3: the real electron: between a wave and a particle Spin. Spin symmetry. Symmetric and antisymmetric wave functions. When two electrons approach each other, they form a common quantum field, which has a defined spin. The spin of a system of two electrons can be either 0 or 1. An object with a spin has specific properties symmetry for of its wavefunction., that a wavefunction of a system of two identical particles is symmetric when the spin of the system is zero and it is asymmetrical when spin is 1. Therefore, the system of two electrons is described by a spinor (which is similar to Eq.3.1, but it also includes the spin-symmetry properties). In the case of two electrons, the spinor of rank two has two wave functions: symmetrical and asymmetrical. The symmetric wave function, which corresponds to the case of antiparallel spins of the electrons and total spin equals zero, is The antisymmetric wave function, which corresponds to the case of parallel spins of the electrons and total spin equals to one, is
  • 18. Spin=0. Symmetric wavefunction Spin=1. Asymmetric wavefunction
  • 19. Ferromagnetic exchange interaction between localized electrons due to Coulomb attraction to nuclear The energy of the attractive Coulomb interaction between electrons and nuclears is negative.When the probability of electrons to be in the vicinity of nuclears is higher, the interaction between electrons and nuclears is stronger and the interaction energy is lower.The exchange interaction forces the electron spins into the state of a lower energy. 1. Case of ferromagnetic exchange interaction. A longer distance between nuclears. In this case maximus of the asymmetric wave function of the ferromagnetic state is at the positions of nuclears. At the middle between nuclears the asymmetric wave function becomes zero.The the symmetric wave function of the antiferromagnetic state has two peaks and the valley between them. However, the probability for an electron between nuclears is higher for the antiferromagnetic state and the probability to be in the vicinity of the nuclears is higher for ferromagnetic state.Therefore, the interaction is stronger and the energy is lower for the ferromagnetic state. 2. Case of antiferromagnetic exchange interaction. A shorter distance between nuclears. For the symmetric wave function of the antiferromagnetic state, the valley disappeared and there is only one peak. Both nuclears are near maximum of this peak. The probability of electrons be in the vicinity of nuclears is high. The asymmetric wave function of the ferromagnetic state still has two peaks with a valley between them. The nuclears are near the minimum of the valley. The probability of electrons be in the vicinity of nuclears is low. Therefore, the interaction is stronger and the energy is lower for the antiferromagnetic state.
  • 20. Probability to find one electron at coordinate x1 and second electron at coordinate x2=-x1-d, where d is distance between nuclears. (right) Coulomb attraction energy between electrons and nuclears as function of distance between nuclears. Animation parameter: Distance between two nuclears. Black balls show the positions of nuclears.
  • 21. Comparison between different representation of an electron Probability of one electron to be at point x1 and second electron at point x2 black balls show position of nuclears as a wave as a particle real electron between a wave and a particle
  • 22. 3.Origin of weak moderate ferromagnetic exchange interaction There is a moderate/small ferromagnetic exchange interaction between electrons due spin- dependent the Coulomb's repulsion between electrons at a longer distance Its origin explained Due to fermion nature of an electron, the wave function of two electrons is symmetrical, when spin are antiparallel, and the wave function is antisymmetric, when spin are parallel. The Coulomb's repulsion between electrons is smaller when a distance between electrons is longer. In the case of antisymmetric wave function (parallel spins) the average distance between two electrons is a little bit longer (red line of Fig. 7 ) than for the case of symmetric wave function (antiparallel spins) (blue line of Fig. 7 ) . Therefore, the Coulomb's repulsion energy is smaller parallel spins. It forces the spins to align ferromagnetically Each electron should not be considered as an individual object. Only the Quantum Field of All Electrons is an object, which can divided into a number of electrons. There are many possibilities how the Quantum Field of Electrons can be divided into particles (electrons). Similar, the electromagnetic field could also be divided into particles (phonons) and there are many possibilities how to divide the field into the photons. In contrast to photons, which do not interact with each other, the electrons repels each other. Therefore, the energy of the
  • 23. Under different conditions (different spin direction or different external field), the division the Quantum Field of Electrons into particles (electrons) corresponding to a lowest energy might be different. Therefore, a different total spin of a system of several electrons corresponds to a different division the Quantum Field of Electrons into particles (electrons) and a different distribution of wave functions of these particles (electrons). Since for the different spin the electron distributions become different, the Coulomb's interaction between the electrons become different as well. It makes the Coulomb's interaction to be spin-dependent. Bethe–Slater curve This empirical curve shows that for a shorter distance between the localized electrons of metals are ferromagnetic and at a shorter distance it is antiferromagnetic. It is empirical curve, which represents the measured exchange interaction as distance between localized electrons
  • 24. 2. Origin of moderate ferromagnetic exchange interaction due to spin- dependent the Coulomb's attraction between electrons and nuclears There is a moderate exchange interaction between electrons due spin -dependent the Coulomb's attraction between electrons and nuclears. Usually it is ferromagnetic, but it could be antiferromagnetic at a short distance between nuclears in a crystal lattice. Its origin is explained as follows: Due to fermion nature of an electron, the wave function of two electrons is symmetrical, when spin are antiparallel, and the wave function is antisymmetric, when spin are parallel. When two localized electrons are located at two neighbor atoms, antisymmetric wave functions means that probability to find electrons is smaller at point, which is between atoms, than at point in the vicinity of nuclear. In contrast, symmetrical wave functions means that probability to find electrons is nearly the same between atom and in the vicinity of nuclear. Therefore, when spins are parallel, the probability for an electron be at vicinity of nuclear is larger and the absolute value of the negative nuclear-electron interaction energy becomes larger comparing to the case of the antiparallel spins. It forces the spins to align ferromagnetically.