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AQA A-Level Physics Notes

2.2.2 Collisions of Electrons with Atoms

Ionisation and Excitation in Fluorescent Tubes

Ionisation Process

  • Definition and Significance: Ionisation is a process where an electron gains sufficient energy to escape from an atom, thus creating a positively charged ion. This process is fundamental in understanding electrical conductivity and chemical reactions.

  • In Fluorescent Tubes: Inside these tubes, electrons accelerated by an electric field collide with gas atoms. These collisions often impart enough energy to the gas atoms' electrons, causing ionisation and resulting in the flow of current through the gas.

Excitation Process

  • Basic Concept: Excitation involves an electron within an atom absorbing energy and moving to a higher energy level within the atom, rather than being completely removed.

  • Role in Fluorescent Lighting: When these excited electrons return to their lower energy states, they release energy in the form of photons. The colour of the light emitted depends on the energy difference between the high and low energy levels, which is characteristic of the gas used in the tube.

Understanding Electron Volt (eV)

Electron Volt as an Energy Unit

  • Definition and Importance: An electron volt represents the energy gained (or lost) by a single electron as it moves through an electric potential difference of one volt. In atomic and particle physics, where energy changes are minuscule, the electron volt is a more practical unit than the Joule.

Conversion between eV and Joules

  • Essential Conversion Formula: The relationship between eV and Joules is given by 1 eV = 1.602 × 10-19 Joules.

  • Application in Calculations: This conversion is crucial in physics to relate the microscopic energy changes in atomic processes to the more commonly used energy unit, the Joule.

Detailed Analysis of Electron Collisions

Mechanics of Electron-Atom Collisions

  • Interaction Dynamics: When a free electron collides with an atom, it can transfer part or all of its kinetic energy to an electron in the atom.

  • Factors Influencing Energy Transfer: The amount of energy transferred depends on the kinetic energy of the incoming electron and the binding energy of electrons in the atom.

Ionisation via Electron Collision

  • Energy Threshold for Ionisation: Each atom requires a minimum amount of energy to ionise, known as its ionisation energy. This energy is used to overcome the electrostatic forces holding the electron within the atom.

  • Chain Reaction in Ionisation: The released electron, if sufficiently energetic, can further collide with other atoms, causing secondary ionisations. This cascading effect is instrumental in devices like photomultiplier tubes.

Excitation and Light Emission

  • Process of Excitation: An electron collision can also result in the excitation of an atom's electron, where the energy transferred is not enough for ionisation but sufficient to move the electron to a higher energy state.

  • Emission of Light: As the excited electron returns to its original or a lower energy level, it emits a photon. The energy of this photon corresponds to the difference in energy levels, and this principle is harnessed in fluorescent tubes to produce visible light.

Practical Applications and Implications

Functioning of Fluorescent Tubes

  • Electron Emission and Acceleration: A cathode in the tube emits electrons, which are then accelerated towards the anode, colliding with gas atoms in the tube.

  • Visible Light Production: The ionisation and excitation of these gas atoms, followed by the return of electrons to lower energy levels, results in the emission of visible light. The specific gas and coating inside the tube determine the colour of the light.

Energy Considerations in Electron Collisions

  • Efficiency in Light Production: The understanding of electron collisions helps in optimising the energy efficiency of fluorescent tubes. By selecting appropriate gases and coatings, the most effective conversion of electrical energy into light can be achieved.

  • Safety and Environmental Concerns: Knowledge of the ionisation energies of different gases aids in the safe handling and disposal of materials like mercury and argon, commonly used in these tubes.

In-Depth Exploration of the Electron Volt

Energy Scale and eV

  • Utility at the Atomic Level: The electron volt is a particularly useful unit when discussing the energy levels involved in atomic and subatomic processes.

  • Relating to the Macroscopic World: Converting these small-scale energies to Joules allows for a comparison with everyday energy scales, enhancing the understanding of their magnitude.

Practical Calculation Examples

  • Converting eV to Joules and Vice Versa: Students should practice converting energies between eV and Joules to understand the relative scales of energies encountered in atomic physics.

  • Comparing Atomic Energies: Using the eV unit, students can compare the energies involved in various atomic processes, such as ionisation and excitation, and understand their relevance in practical applications like lighting and electronics.

Deep Dive into Energy Transfer in Collisions

Understanding Ionisation Energy

  • Concept and Variability: Ionisation energy is the energy required to remove the most loosely bound electron from an atom in its ground state. Different elements have different ionisation energies, which influences their chemical and physical behaviour.

  • Impact on Electron Collisions: The ionisation energy determines how much kinetic energy an incoming electron must have to cause ionisation. This factor is critical in technologies like ionisation-based detectors.

Excitation and Photon Emission Mechanics

  • Energy Levels and Emission: The energy of the emitted photon during de-excitation is precisely equal to the energy difference between the higher and lower energy levels of the atom.

  • Spectroscopy and Elemental Identification: This phenomenon is the basis for spectroscopic techniques used to identify elements by their characteristic emission spectra.

In conclusion, the study of electron collisions with atoms, encompassing ionisation and excitation processes, and the utilisation of the electron volt as a unit of energy, is pivotal in understanding a multitude of physical phenomena. For AQA A-level Physics students, mastering these concepts lays the groundwork for more advanced topics in atomic and quantum physics.

FAQ

Different gases are used in fluorescent tubes because each gas has a unique set of electron energy levels, which determines the energy, and hence the colour, of the photons emitted when electrons in these gases return to a lower energy level. When an electron collides with a gas atom in the tube, it excites the atom's electrons, elevating them to higher energy levels. As these electrons revert to their original energy levels, they emit photons. The energy difference between the high and low energy levels, specific to each type of gas, dictates the energy, and thereby the colour, of the emitted photons. For instance, mercury vapour emits ultraviolet light, which is invisible to the human eye. This ultraviolet light then interacts with the phosphor coating inside the tube, which fluoresces to produce visible light. Different phosphor coatings can absorb this ultraviolet light and emit light of various colours, providing the range of colours seen in fluorescent lights.

Ionisation energy is a critical concept in understanding the ionisation process in fluorescent tubes. It is the minimum energy required to remove the most loosely bound electron from an isolated neutral atom in its ground state. In fluorescent tubes, free electrons, accelerated by the electric field in the tube, collide with the gas atoms (like mercury or argon). For ionisation to occur, these free electrons must have enough kinetic energy to overcome the ionisation energy of the gas atoms. If the incoming electron has energy equal to or greater than the ionisation energy, it can knock an electron out of the gas atom, thereby ionising it. This ionisation is crucial in fluorescent tubes as it initiates the process that leads to light emission. The ionised atoms and free electrons in the tube contribute to the electrical conductivity of the gas, allowing the tube to conduct electricity and emit light.

The electron volt (eV) is a unit of energy that is particularly well-suited to atomic physics because it is conveniently sized for the energies involved in atomic-scale processes, like electron collisions. In atomic physics, the energies involved are usually very small and using the Joule, which is a relatively large unit of energy, would result in dealing with very small numbers, which can be impractical and error-prone. The eV, being the energy gained by an electron when it moves through a potential difference of one volt, is a more appropriate and manageable unit for these small energy scales. For instance, in electron collisions, the energy transferred to or from electrons is typically in the order of a few eVs. Using this unit simplifies calculations and makes it easier to conceptualise and compare the energies involved in different atomic processes. Additionally, the eV is particularly useful in quantum mechanics and solid-state physics, where energy levels and differences are commonly expressed in this unit.

In X-ray tubes, electrons are accelerated to high speeds and then collide with a metal target. These high-speed electrons have substantial kinetic energy, and when they collide with the atoms in the metal target, several interactions can occur. One such interaction is the abrupt deceleration of the electrons as they pass close to the nuclei of the target atoms. This deceleration causes the electrons to lose energy, which is emitted in the form of X-rays, a phenomenon known as "Bremsstrahlung" or braking radiation. Another mechanism involves the collision of an electron with an inner-shell electron in the target atom, ejecting it and leaving a vacancy. Electrons from higher energy levels then fill this vacancy, and the energy difference between the higher and the lower energy levels is released as an X-ray photon. The energy of these X-rays depends on the energy of the incoming electrons and the atomic number of the target material, making X-rays a valuable tool for medical imaging and industrial applications.

In a cathode ray tube (CRT) display, electron collisions are fundamental to the generation of the images on the screen. The CRT operates by firing a beam of electrons, produced by a heated cathode, towards a phosphorescent screen. These electrons are accelerated and focused into a narrow beam by an electric field and then directed across the screen by magnetic deflection coils. When these high-speed electrons collide with the phosphorescent material on the screen, they transfer their kinetic energy to the atoms of the phosphor. This energy excites the electrons in the phosphor atoms, elevating them to higher energy states. When these excited electrons return to their original energy levels, they emit photons of light, creating the visible image on the screen. The colour and intensity of the light depend on the type of phosphor material used and the energy of the electron beam. CRT technology was widely used in older televisions and computer monitors, and it exemplifies the practical application of electron collision principles in technology.

Practice Questions

A fluorescent tube is filled with mercury vapour and coated internally with a phosphorescent material. Explain how the collisions of electrons with the mercury atoms in the vapour produce visible light.

In a fluorescent tube, free electrons collide with mercury atoms. These collisions can ionise the mercury atoms or excite their electrons to higher energy levels. When the excited electrons return to lower energy states, they emit ultraviolet photons. These ultraviolet photons are absorbed by the phosphorescent coating on the inside of the tube. The phosphorescent material then re-emits this energy as visible light. This process is a demonstration of the excitation and subsequent de-excitation of electrons in atoms, leading to photon emission, a fundamental concept in atomic physics.

Define the electron volt (eV) and explain how to convert an energy value from eV to Joules. If an electron gains an energy of 5 eV, calculate its energy in Joules.

The electron volt (eV) is defined as the amount of kinetic energy gained or lost by an electron when it moves through an electric potential difference of one volt. To convert energy from eV to Joules, the value in eV is multiplied by the charge of an electron, which is approximately 1.602 × 10-19 Coulombs. Therefore, if an electron gains an energy of 5 eV, its energy in Joules is calculated as 5 eV × 1.602 × 10-19 Joules/eV = 8.01 × 10-19 Joules. This conversion is crucial in understanding the scale of energy changes in atomic physics.

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