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Atomic Collision

Atomic Collision

Edited By Vishal kumar | Updated on Jul 02, 2025 06:59 PM IST

Atomic collisions refer to the interactions between atoms or subatomic particles that result in the transfer of energy, momentum, or charge. These collisions are fundamental to understanding various physical and chemical processes, from the behaviour of gases to nuclear reactions. In real life, atomic collisions play a crucial role in technologies like particle accelerators, which probe the structure of matter, and in medical applications such as radiation therapy for cancer treatment. Understanding atomic collisions also aids in the development of more efficient energy sources and better materials through insights gained at the atomic level. This article delves into the mechanisms and significance of atomic collisions in both scientific and practical contexts.

This Story also Contains
  1. Atomic Collision
  2. Collision of a Neutron with an Atom
  3. Solved Examples Based on Atomic Collision
  4. Summary
Atomic Collision
Atomic Collision

Atomic Collision

Atomic collisions refer to the interactions between atoms or subatomic particles that result in the exchange of energy, momentum, or charge. These collisions are pivotal in understanding various physical and chemical processes, influencing the behaviour of gases, the principles of spectroscopy, and the dynamics of nuclear reactions. In real life, atomic collisions are essential in technologies like particle accelerators, which delve into the structure of matter, and in medical applications such as radiation therapy for treating cancer

There are two ways to excite an electron in an atom

1. By supplying energy to an electron through electromagnetic photons for eg., the Photoelectric effect

2. By the atomic collision, the kinetic energy loss is utilized in the ionization or excitation of the atom.

Now let us understand the atomic collision

Collision of a Neutron with an Atom

The collision of a neutron with an atom is a fundamental process in nuclear physics and has significant implications in various fields. When a neutron collides with an atom, it can result in several outcomes depending on the energy of the neutron and the type of atom it encounters. These outcomes include elastic scattering, where the neutron bounces off the nucleus, transferring some of its energy to the atom, and inelastic scattering, where the neutron is absorbed, leading to the emission of gamma rays or other particles.

Let us consider an example of a head-on collision of a moving neutron with a stationary hydrogen atom as shown in the figure. Here. for mathematical analysis, let us assume the masses of the neutron and H atom to be the same

Now there are two cases, the first is a perfectly elastic collision and another is a perfectly inelastic collision. Let us discuss these cases one by one -

1. Perfect Elastic collision

A perfectly elastic collision is a type of collision in which both momentum and kinetic energy are conserved. This means that the total momentum and total kinetic energy of the system remain the same before and after the collision. In such collisions, the objects involved rebound off each other without any loss of energy due to sound, heat, or deformation.

In this case, since the mass of the neutron and the mass of the hydrogen atom, then the hydrogen atom will move with the same speed and kinetic energy as which neutron is moving initially.

2. Perfect Inelastic collision

A perfect inelastic collision is a type of collision in which the colliding objects stick together after impact, resulting in a single combined mass moving with a common velocity. In such collisions, momentum is conserved, but kinetic energy is not. The loss of kinetic energy is converted into other forms of energy, such as heat, sound, or deformation.

If both have perfect inelastic collision, then both move together. Now by applying the conservation of momentum

mv0=2mv1⇒v1=v2

vo is the initial velocity of the neutron
v1 is the final combined velocity of the atom and neutron.

Now the difference between initial and final kinetic energy is given as -

ΔE=Ei−Ef=12mvo2−12(2m)(vo2)2=12mvo2−14mvo2=14mvo2=12Ei

Thus, half of the initial kinetic energy will be lost in the collision. The energy lost can only be absorbed by the atom involved in the collision and may get excited or ionized by this energy loss which takes place in case of inelastic collision. Here we are not considering the heat energy loss during the collision.



This loss in energy can be absorbed by the H atom only. From the previous concepts, we know that the minimum energy needed by the hydrogen atom to get excited is 10.2 eV for n =1 to n=2. So the minimum energy loss must be equal to 10.2 eV to excite hydrogen atoms. If the loss in energy is more than 10.2 eV then only 10.2 eV is absorbed by the hydrogen atom and the rest of the energy remains in the colliding particles (Neutron and H atom) as the collision is not perfectly inelastic.

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Solved Examples Based on Atomic Collision

Example 1: An electron with kinetic energy E eV collides with a hydrogen atom in the ground state. The collision is observed to be elastic for:

1) 0<E<∞
2) 0<E<10.2eV
3) 0<E<13.6eV
4) 0<E<3.4eV

Solution

The hydrogen atom in the ground state will only absorb energy greater than 10.2eV. When an electron with KE, E eV collides with a hydrogen atom in the ground state, if the energy of an electron is absorbed then the collision will be inelastic. If there is no absorption of energy(i.e. E<10.2eV) then the collision will be elastic.

Hence, the answer is the option (2)

Example 2: A neutron makes a head-on elastic collision with a stationary deuteron. The fractional energy loss of the neutron in the collision is?

1) 16/82

2) 8/9

3) 2/3

4) 8/27

Solution:

Velocity of neutron and deutronV1 2 where Md= mass of deutron Mn= mass of neutronv v2=2 mnmn+md

∵md=2ne Hencev 2=23vv1=13 V= velocity of neutron before collision

Kinetic energy before collision of neutron (E)v2=23vv1=13 kinetic energy after collision (E1)

=12Mnv12=12(19Mnv2) Fractional loss =E−E1E=12Mn(v2−19v2)12Mnv2=89

Hence, the answer is the option (2).

Example 3: A particle of mass 200MeV/c2 collides with a hydrogen atom at rest. Soon after the collision the particle comes to rest, and the atom recoils and goes to its first excited state. The initial kinetic energy of the particle (in eV)

is N4. The value of N is . (Given the mass of the hydrogen atom to be 1GeV/c2)

1) 51

2) 102

3) 204

4) 408

Solution:

M0=200MeV/c2;m=1GeV/c2 Initial velocity =v0Mv0=mv∴v=(Mm)v012Mv02=12mv2+ΔE0×34(ΔE0=13.6eV)⇒12Mv02(1−Mm)=34ΔE0⇒12Mv02=34×ΔE0×108=14(3ΔE0×108)=514=514eV∴N=51

Hence, the answer is the option (1).

Example 4: A neutron strikes a stationary H-atom in its ground state. If the collision is perfectly inelastic then which of the following kinetic energy of a neutron is not possible?

1) 20.4eV

2) 22.8eV

3) 24.18eV

4) 25.5eV

Solution:

Perfectly Inelastic Collision

This can happen when K.E. of neutron = 20.4 ev, 24.18 ev, 25.5 ev,26.18 ev

wherein

The energy exchanged is exactly half of K.E.of neutron

For a perfectly inelastic collision, the KE of the neutron should be equal to twice the energy gap between ant two orbitals of the hydrogen atom.

20.4=2(ΔE1−2)24.18=2(ΔE1−3)25.5=2(ΔE1−4)

Hence, the answer is the option (2).

Example 5: Two hydrogen atoms in the ground state collide inelastically. The maximum amount by which their combined kinetic energy is reduced is:

1) 10.2 eV

2) 20.4 eV

3) 13.6 eV

4) 27.2 eV

Solution:

The initial kinetic energy of each of the two hydrogen atoms in the ground state =13.6eV

$\therefore \quad$ The kinetic energy of both H atoms before the collision =2×13.6eV=27.2eV

As the collision is inelastic, linear momentum is conserved but some kinetic energy is lost.

If one H atom goes to the first excited state and the other remains in the ground state, then their combined kinetic energy after the collision

=13.622eV+13.6eV=17eV

$\therefore \quad$ Reduction in their combined kinetic energy =27.2eV−17eV=10.2eV

Hence, the answer is the option (1).

Summary

Atomic collisions involve the interaction of atoms or subatomic particles, resulting in the exchange of energy, momentum, or charge. These collisions, which can be either elastic or inelastic, are crucial for understanding physical and chemical processes. Inelastic collisions, where the objects stick together, result in a loss of kinetic energy that may excite or ionize the atoms involved. Real-life applications include nuclear reactions, particle accelerators, and radiation therapy. Solving problems related to atomic collisions helps in understanding energy conservation, energy transfer, and the resulting changes in atomic states.

Frequently Asked Questions (FAQs)

1. What is an atomic collision?
An atomic collision occurs when two atoms or subatomic particles come close enough to interact, potentially exchanging energy or altering their trajectories. This interaction can lead to various outcomes, such as elastic scattering, inelastic scattering, or nuclear reactions, depending on the particles involved and their energies.
2. What's the difference between elastic and inelastic collisions in atomic physics?
In elastic collisions, the total kinetic energy of the colliding particles is conserved, and only their velocities change. In inelastic collisions, some kinetic energy is converted to other forms (like internal energy), resulting in changes to the particles' internal states or the creation of new particles.
3. How do atomic collisions contribute to the field of spectroscopy?
Atomic collisions play a crucial role in spectroscopy by exciting atoms to higher energy states. When these excited atoms return to lower energy states, they emit photons of specific wavelengths. Analyzing these emission spectra provides information about atomic structure and energy levels.
4. What is Rutherford scattering, and why is it significant?
Rutherford scattering refers to the deflection of charged particles (like alpha particles) when they collide with atomic nuclei. This phenomenon, discovered by Ernest Rutherford, led to the nuclear model of the atom, demonstrating that most of an atom's mass is concentrated in a small, dense nucleus.
5. How do atomic collisions relate to the concept of nuclear fusion?
Nuclear fusion occurs when atomic nuclei collide with sufficient energy to overcome their electrostatic repulsion and merge into a heavier nucleus. These high-energy collisions, typically involving light elements like hydrogen isotopes, release enormous amounts of energy and are the power source of stars.
6. How does the concept of cross-section relate to atomic collisions?
Cross-section in atomic collisions refers to the effective area that a target particle presents for interaction with an incoming particle. It's a measure of the probability of a collision occurring and is typically expressed in units of area (e.g., barn, 1 barn = 10^-28 m^2). A larger cross-section means a higher likelihood of collision.
7. How do quantum mechanics principles apply to atomic collisions?
Quantum mechanics is crucial in understanding atomic collisions, as it describes the wave-like nature of particles. It introduces concepts like wave functions, probability distributions, and quantum tunneling, which are essential for accurately predicting collision outcomes, especially at low energies.
8. What role does the uncertainty principle play in atomic collisions?
The uncertainty principle, which states that we cannot simultaneously know a particle's exact position and momentum, affects our ability to predict precise collision outcomes. It introduces inherent uncertainties in particle trajectories and interaction probabilities, especially at the atomic scale.
9. How do atomic collisions contribute to the study of nuclear structure?
Atomic collisions, particularly those involving high-energy particles, can probe the structure of atomic nuclei. By analyzing the outcomes of these collisions, scientists can gain insights into nuclear composition, binding energies, and the forces holding nuclei together.
10. How do collision energies affect the outcomes of atomic interactions?
Collision energies greatly influence interaction outcomes. Low-energy collisions typically result in elastic scattering or excitation of electronic states. Higher energies can lead to ionization, nuclear reactions, or the creation of new particles, depending on the energy threshold for each process.
11. How do atomic collisions relate to the concept of atomic clocks?
Atomic clocks rely on precise atomic transitions, which can be affected by collisions. In some atomic clock designs, collisions between atoms are used to cool and trap atoms, while in others, collisions are minimized to reduce frequency shifts. Understanding and controlling these collision effects is crucial for improving clock accuracy and stability.
12. What is the role of the Born-Oppenheimer approximation in understanding molecular collisions?
The Born-Oppenheimer approximation assumes that electronic motion is much faster than nuclear motion in molecules. In molecular collisions, this approximation allows the separation of electronic and nuclear dynamics, simplifying the theoretical treatment. However, it can break down in cases of strong coupling between electronic and nuclear motion, requiring more advanced treatments.
13. What is the mean free path in the context of atomic collisions?
The mean free path is the average distance a particle travels between successive collisions in a medium. It depends on factors like particle density, collision cross-section, and particle velocity. A shorter mean free path indicates more frequent collisions.
14. What is the role of the strong nuclear force in atomic collisions?
The strong nuclear force becomes significant in collisions involving atomic nuclei. It's the force that binds quarks within nucleons (protons and neutrons) and holds nucleons together in the nucleus. In high-energy collisions, it can overcome electrostatic repulsion, enabling nuclear reactions.
15. What is the significance of the impact parameter in atomic collisions?
The impact parameter is the perpendicular distance between the path of an incoming particle and the center of the target particle. It determines the closest approach of the particles and influences the collision outcome. Smaller impact parameters generally lead to more significant interactions.
16. How do atomic collisions relate to the process of ionization?
Ionization occurs when an atomic collision provides enough energy to remove one or more electrons from an atom. This process creates ions and free electrons, which can lead to further collisions and reactions. Ionization is crucial in many areas of physics, including plasma physics and radiation detection.
17. What is Coulomb scattering, and how does it differ from nuclear scattering?
Coulomb scattering involves the electrostatic interaction between charged particles, typically at distances larger than nuclear dimensions. Nuclear scattering occurs when particles come close enough for nuclear forces to dominate. Coulomb scattering usually results in smaller deflection angles compared to nuclear scattering.
18. How do atomic collisions contribute to our understanding of fundamental particles?
High-energy atomic collisions, particularly in particle accelerators, allow scientists to study fundamental particles and their interactions. By analyzing collision products, researchers can discover new particles, verify theoretical predictions, and explore the basic building blocks of matter.
19. What is the concept of a collision cascade, and why is it important?
A collision cascade occurs when a high-energy particle collides with atoms in a solid, causing a series of subsequent collisions. This process is important in understanding radiation damage in materials, ion implantation in semiconductors, and sputtering processes used in thin film deposition.
20. How do atomic collisions relate to the phenomenon of Bremsstrahlung radiation?
Bremsstrahlung radiation, or "braking radiation," is produced when charged particles (usually electrons) are decelerated during collisions with atomic nuclei. The energy lost by the particle is emitted as electromagnetic radiation. This process is important in X-ray production and in understanding energy loss mechanisms in particle physics.
21. What is the role of the Born approximation in describing atomic collisions?
The Born approximation is a method used to simplify the mathematical description of atomic collisions. It assumes that the interaction between the colliding particles is weak compared to their initial kinetic energy. This approximation is useful for high-energy collisions but becomes less accurate for low-energy or strong interactions.
22. How do atomic collisions contribute to the field of astrochemistry?
Atomic collisions play a crucial role in astrochemistry by driving chemical reactions in space. In the cold, low-density environments of interstellar space, collisions between atoms and molecules can lead to the formation of complex molecules. Understanding these collision processes helps explain the chemical composition of celestial bodies and interstellar medium.
23. What is the significance of the de Broglie wavelength in atomic collisions?
The de Broglie wavelength, which relates a particle's momentum to its wavelength, becomes significant in atomic collisions, especially at low energies. When this wavelength is comparable to atomic dimensions, quantum mechanical effects become prominent, affecting collision probabilities and outcomes.
24. How do atomic collisions relate to the concept of nuclear fission?
Nuclear fission can be initiated by atomic collisions when a heavy nucleus absorbs a neutron. This collision causes the nucleus to become unstable and split into lighter nuclei, releasing energy and additional neutrons. Understanding these collision-induced fission processes is crucial for nuclear energy production and weapons technology.
25. What is the role of virtual particles in atomic collisions?
Virtual particles, which exist temporarily due to quantum fluctuations, play a role in mediating forces during atomic collisions. For example, the electromagnetic force between charged particles is mediated by virtual photons. These virtual particles contribute to the overall interaction potential and affect collision outcomes.
26. How do atomic collisions contribute to our understanding of plasma physics?
In plasmas, frequent atomic collisions occur between ions, electrons, and neutral atoms. These collisions govern energy transfer, ionization rates, and overall plasma behavior. Studying these collision processes is essential for applications like fusion energy, astrophysical plasmas, and plasma-based technologies.
27. What is the significance of the Franck-Condon principle in atomic collisions?
The Franck-Condon principle describes the probability of transitions between different vibrational states during electronic transitions in molecules. In the context of atomic collisions, it helps explain the likelihood of certain excitation or ionization processes based on the overlap of initial and final state wave functions.
28. How do atomic collisions relate to the phenomenon of Auger electron emission?
Auger electron emission occurs when an inner-shell electron is removed from an atom (often due to a collision), and an outer-shell electron fills the vacancy. The energy released in this process can be transferred to another outer-shell electron, ejecting it from the atom. This process is important in surface analysis techniques and understanding atomic relaxation mechanisms.
29. What is the role of spin in atomic collisions?
Spin, an intrinsic angular momentum of particles, plays a crucial role in atomic collisions. It affects the symmetry of wave functions, influences allowed transitions, and can lead to phenomena like spin-orbit coupling. Understanding spin effects is essential for accurately predicting collision outcomes and interpreting experimental results.
30. How do atomic collisions contribute to the field of radiation therapy?
In radiation therapy, high-energy particles or photons collide with atoms in biological tissue. These collisions can ionize atoms, create free radicals, and damage DNA, leading to cell death. Understanding the physics of these atomic collisions is crucial for optimizing treatment plans and minimizing damage to healthy tissue.
31. What is the concept of a collision complex, and why is it important?
A collision complex is a temporary intermediate state formed when two particles come together during a collision. This complex can have a finite lifetime before breaking apart into products or returning to reactants. Understanding collision complexes is crucial for describing reaction mechanisms, especially in chemical kinetics and molecular dynamics.
32. How do atomic collisions relate to the process of electron capture?
Electron capture occurs when a collision between an ion and a neutral atom or molecule results in the transfer of an electron from the neutral species to the ion. This process is important in many areas of physics and chemistry, including astrophysics, plasma physics, and ion-atom collision studies.
33. What is the significance of the Lindhard-Scharff-Schiøtt (LSS) theory in atomic collisions?
The LSS theory provides a framework for understanding the energy loss of charged particles moving through matter. It considers both electronic and nuclear stopping powers, making it valuable for predicting the range and damage of ions in materials. This theory is widely used in ion implantation, radiation damage studies, and nuclear physics.
34. How do atomic collisions contribute to our understanding of chemical reactions?
Atomic collisions are fundamental to chemical reactions. They provide the energy needed to break and form chemical bonds. By studying collision dynamics at the atomic and molecular level, scientists can understand reaction rates, energy barriers, and the influence of quantum effects on chemical processes.
35. What is the role of the Pauli exclusion principle in atomic collisions?
The Pauli exclusion principle, which states that no two identical fermions can occupy the same quantum state simultaneously, affects atomic collisions by restricting possible final states. It influences electron transitions, molecular bonding, and the behavior of degenerate matter, such as in white dwarf stars.
36. What is the significance of the Wigner threshold law in low-energy atomic collisions?
The Wigner threshold law describes how collision cross-sections behave near the threshold energy for a particular process. It predicts that for s-wave scattering (angular momentum l=0), the cross-section varies as the square root of the excess energy above threshold. This law is important for understanding low-energy collision processes, particularly in ultracold atomic physics.
37. How do atomic collisions contribute to the field of materials science?
Atomic collisions play a crucial role in materials science through processes like ion implantation, sputtering, and radiation damage. These collision-induced phenomena can modify material properties, create defects, or be used for material analysis. Understanding atomic collisions helps in developing new materials and improving existing ones.
38. What is the concept of a resonance in atomic collisions?
A resonance in atomic collisions occurs when the energy of the colliding system matches a quasi-bound state of the combined system. This can lead to dramatically enhanced cross-sections and energy-dependent behavior. Resonances are important in various areas, including nuclear physics, electron-molecule scattering, and chemical reactions.
39. How do atomic collisions relate to the phenomenon of Penning ionization?
Penning ionization occurs when an excited atom collides with another atom or molecule, transferring its excitation energy and causing ionization of the collision partner. This process is important in plasma physics, atmospheric chemistry, and some types of gas lasers. It demonstrates how energy can be transferred between particles during collisions.
40. What is the role of symmetry in atomic collisions?
Symmetry principles play a crucial role in atomic collisions by determining selection rules for transitions, influencing the angular distribution of scattered particles, and affecting the interference of quantum mechanical pathways. Understanding symmetry helps in predicting allowed processes and interpreting experimental results.
41. How do atomic collisions contribute to our understanding of astrophysical processes?
Atomic collisions are fundamental to many astrophysical processes, including stellar nucleosynthesis, interstellar chemistry, and the behavior of stellar atmospheres. They govern energy transfer in stars, the formation of molecules in space, and the emission of light from celestial bodies. Studying these collisions helps explain cosmic phenomena and the evolution of the universe.
42. What is the significance of the Landau-Zener formula in atomic collision theory?
The Landau-Zener formula describes the probability of a non-adiabatic transition between two quantum states during a collision. It's particularly useful for understanding charge transfer processes and electronic transitions in atomic and molecular collisions. This formula provides insights into how the coupling between states and the collision velocity affect transition probabilities.
43. How do atomic collisions relate to the concept of electron affinity?
Electron affinity, the energy released when an atom gains an electron, is closely related to atomic collisions. In collision processes, an atom may capture an electron, forming a negative ion. The electron affinity influences the likelihood and energy released in such capture processes, affecting the outcomes of collisions involving neutral atoms and electrons or negative ions.
44. How do atomic collisions contribute to the field of quantum computing?
Atomic collisions play a role in quantum computing through processes like ion trapping and laser cooling. Controlled collisions between atoms or ions can be used to implement quantum gates or generate entanglement. Understanding and minimizing unwanted collisions is also crucial for maintaining coherence in quantum systems.
45. What is the significance of the Feshbach resonance in atomic and molecular physics?
A Feshbach resonance occurs when the energy of a bound molecular state matches that of two colliding atoms. This phenomenon allows for the tuning of interaction strengths between atoms using external magnetic fields. Feshbach resonances are crucial in the study of ultracold atomic gases, enabling the exploration of strongly interacting quantum systems.
46. How do atomic collisions relate to the process of Rydberg atom formation?
Rydberg atoms, which have one or more electrons in highly excited states, can be formed through specific collision processes. For example, electron impact excitation or charge exchange collisions can populate these high-energy states. Studying the collision dynamics leading to Rydberg atom formation is important for understanding their unique properties and potential applications.
47. What is the role of the Franck-Hertz experiment in understanding atomic collisions?
The Franck-Hertz experiment demonstrates the quantized nature of atomic energy levels through controlled electron-atom collisions. It shows that electrons can only transfer specific amounts of energy to atoms, corresponding to transitions between discrete energy levels. This experiment was crucial in confirming Bohr's atomic model and illustrates the importance of inelastic collisions in atomic physics.
48. How do atomic collisions contribute to our understanding of quantum decoherence?
Atomic collisions can induce quantum decoherence, the process by which quantum superpositions decay into classical mixtures. Collisions with background gas atoms or photons can cause a quantum system to lose its coherence. Studying these collision-induced decoherence processes is crucial for understanding the transition from quantum to classical behavior and for developing quantum technologies.

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