Electron Diffraction Experiment
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What is the primary objective of the electron diffraction experiment?

  • To investigate the diffraction of electrons from graphite crystals. (correct)
  • To study the deflection of light through a prism.
  • To analyze the resistance of different materials.
  • To measure the electric charge of electrons.

Which equipment is essential for the high-voltage supply in this experiment?

  • A high-value resistor of 1 MOhm.
  • A digital multimeter for voltage measurement.
  • A high-voltage supply unit capable of 0-10 kV. (correct)
  • A standard power supply of 120 V.

In terms of lab safety, which of the following protocols is most critical when using the high-voltage equipment?

  • Ensuring all connections are insulated and secure. (correct)
  • Having a water source nearby for fire safety.
  • Wearing cotton gloves.
  • Using wooden tools to handle equipment.

When interpreting results from the electron diffraction experiment, what is the primary measurement derived from the data?

<p>The interplanar spacing of graphite. (D)</p> Signup and view all the answers

Which of the following data analysis techniques is most appropriate for analyzing the diffraction patterns obtained?

<p>Fourier analysis to extract frequency components. (C)</p> Signup and view all the answers

What method is used to determine the average radius of the diffraction pattern?

<p>Measure both the inner and outer circles and average their sums (C)</p> Signup and view all the answers

During the equipment shutdown process, which step should be performed first?

<p>Reduce the High value resistor to zero before other actions (B)</p> Signup and view all the answers

Which statement best describes the importance of measuring both inner and outer circles in this experiment?

<p>It provides a more accurate evaluation of the wave interference patterns (C)</p> Signup and view all the answers

In the scientific reporting of an experiment, how is the radius of the diffraction pattern typically expressed?

<p>As the average of the inner and outer circle measurements (A)</p> Signup and view all the answers

What is the primary goal of the procedure involving the adjustment of the HV-power supply and the High value resistor during operation?

<p>To regulate the energy input affecting the experiment outcomes (D)</p> Signup and view all the answers

What is the purpose of adjusting the High value resistor during the experiment?

<p>To keep the voltage constant throughout the experiment (C)</p> Signup and view all the answers

When recording the radius of electron diffraction, which factors could potentially affect the measurements?

<p>Voltage stability and precision of measurement tools (D)</p> Signup and view all the answers

What does the calculation of the electron wavelength using de Broglie's equation depend on?

<p>The potential difference applied and the mass of the electron (A)</p> Signup and view all the answers

Which step is crucial to ensure reproducibility in the experimental results?

<p>Measuring the radius at distinct voltage intervals (D)</p> Signup and view all the answers

What could a steeper slope in the graph of radius versus wavelength indicate?

<p>A smaller interplanar spacing in the material (B)</p> Signup and view all the answers

Why is it important to repeat the experiment with varying voltage from high to low?

<p>To identify any anomalous data or inconsistencies (C)</p> Signup and view all the answers

What does the variable 'd' represent in the interplanar spacing formula?

<p>The separation distance between crystal planes (D)</p> Signup and view all the answers

In order to effectively analyze the data collected, what is a recommended approach to graphing the results?

<p>Plotting radius against voltage to establish trends (B)</p> Signup and view all the answers

Which precaution should be prioritized to ensure lab safety during the experiment?

<p>Ensuring the HV-power supply is connected to a surge protector (B)</p> Signup and view all the answers

What is a likely outcome of incorrectly calculating the radius of electron diffraction?

<p>It would lead to inaccurate calculations of interplanar spacing (D)</p> Signup and view all the answers

What is the correct alignment of the Helmholtz coil to ensure uniform magnetic field strength?

<p>Coils should be oriented with centers aligned and spaced correctly. (C)</p> Signup and view all the answers

In the narrow beam tube setup, what is the purpose of the D.C. power supply?

<p>To facilitate current flow by creating a potential difference. (B)</p> Signup and view all the answers

Which adjustment should be made to prevent damage to the cathode during tube operation?

<p>Set the grid voltage and anode voltage to their zero positions before starting. (D)</p> Signup and view all the answers

What must be considered when calculating the energy levels of electrons in the narrow beam tube?

<p>Both anode and grid voltages contribute to the total energy of electrons. (B)</p> Signup and view all the answers

During the operation of the narrow beam tube, which voltage levels need to be carefully monitored?

<p>Grid voltage (-50 V to 0 V) and Anode voltage (0 V to 250 V). (A)</p> Signup and view all the answers

What is the fixed filament voltage used to heat the filament in a narrow beam tube?

<p>6.3 V (A)</p> Signup and view all the answers

Which voltage range can be adjusted for the grid voltage in a narrow beam tube?

<p>-50....0 V (B)</p> Signup and view all the answers

How is the energy and speed of electrons in the narrow beam tube determined?

<p>From the anode voltage applied (B)</p> Signup and view all the answers

What is the maximum anode voltage available for adjustment in the narrow beam tube setup?

<p>250 V (B)</p> Signup and view all the answers

What is the purpose of adjusting the grid voltage in a narrow beam tube?

<p>To control the number of electrons emitted (D)</p> Signup and view all the answers

In terms of voltage measurement, what instrument is used to measure the voltage difference between the cathode and anode?

<p>A voltmeter V (B)</p> Signup and view all the answers

When adjusting the narrow beam tube, which condition best represents the anode voltage regulation?

<p>It can be adjusted from 0 to 250 V. (B)</p> Signup and view all the answers

What general effect does increasing the anode voltage have on the electrons in the narrow beam tube?

<p>Increases their potential energy. (B)</p> Signup and view all the answers

Which adjustment is critical when ensuring that the electron beam maintains a radius of 5 centimeters?

<p>Matching the current from the Helmholtz coil with the anode voltage (A), Carefully rotating the narrow tube around its horizontal axis (B)</p> Signup and view all the answers

What is the result of increasing the anode voltage while keeping the current through the Helmholtz coil constant?

<p>Radius of the electron trajectory might initially increase (B)</p> Signup and view all the answers

What effect does reversing the magnetic field direction in the Helmholtz coil have on the electron beam?

<p>The direction of the electron trajectory will reverse (A)</p> Signup and view all the answers

In the process of adjusting the current in the Helmholtz coil, what optimal limit should not be exceeded?

<p>5 amperes (D)</p> Signup and view all the answers

For measurements at varying radii of 4, 3, and 2 cm, what procedure must be followed?

<p>Maintain a constant voltage while varying the current (D)</p> Signup and view all the answers

Which of the following methods is used to record the results of the electron trajectories in the experiment?

<p>Visualizing the electron beam on a photographic medium (D)</p> Signup and view all the answers

What should the trajectory of the electrons resemble when the circuit is correctly configured?

<p>A closed circular path without any deviations (C)</p> Signup and view all the answers

Which aspect of the experiment involves manipulating the physical orientation of the narrow beam tube?

<p>To rotate it during the measurement of electron trajectories (C)</p> Signup and view all the answers

Flashcards

Electron Diffraction Experiment Setup

Arranging electron diffraction equipment as illustrated; including HV-power supply, high value resistor, and electron diffraction tube.

HV-power supply voltage adjustment

Adjusting the high voltage power supply to 3 kV to generate electrons from the electron diffraction tube.

High value resistor adjustment

Adjusting the 3-knob high value resistor to a fixed value determined by the apparatus.

Electron Diffraction Angle Measurement

Measuring the diffraction angle of electrons at varied voltage values.

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De Broglie Wavelength Calculation

Calculating the electron's wavelength using the De Broglie equation based on voltage and electron mass.

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Graphing Experiment Data

Creating a graph plotting diffraction radius (r) against the calculated electron wavelength (λ).

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Calculating Graph Slope

Determining the slope of the graph, which is a constant A (related to a physics constant).

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Interplanar Spacing Calculation

Using the graph's slope (A) to calculate the distance between atomic planes (di) in the graphite target.

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Experimental Data Analysis

Analyzing the collected data to interpret the experiment's results.

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Experimental Report Submission

Summarizing the results of the experiment and answering the associated questions.

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Electron Diffraction Experiment

A physics experiment demonstrating the wave-like nature of electrons by observing their diffraction pattern from a graphite crystal.

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Graphite Crystal

A material used to observe electron diffraction patterns, allowing analysis of interplanar spacing.

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Interplanar Spacing

The distance between parallel crystal planes.

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Electron Diffraction Tube

A device for producing and controlling electron beams, essential to the experiment.

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High-voltage supply

A device providing the necessary high voltage to accelerate electrons for diffraction.

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De Broglie Wavelength Equation

The equation that relates the wavelength of a particle (λ) to its momentum (p) and Planck's constant (h): λ = h/p.

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Electron's Kinetic Energy

The energy of an electron due to its motion. It can be calculated using the formula: KE = eU, where e is the electron's charge and U is the accelerating voltage.

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Diffraction Radius Calculation

Finding the average radius of a diffraction ring by measuring the inner and outer radii and taking their mean.

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Graph Slope Interpretation

The slope of a graph plotting diffraction angle (θ) against the wave-like nature (λ), related to a constant 'A', which has a specific relationship with the interplanar spacing 'di'.

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Cathode Voltage

The voltage applied to the cathode of a narrow beam tube, which is always negative relative to the grid. Typically, this voltage is set to a maximum of -50V.

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Anode Voltage

The voltage applied to the anode of a narrow beam tube, which is always positive relative to the grid, allowing electrons to flow from the cathode to the anode. It is usually set to a maximum of 300V.

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Grid Voltage

The voltage applied to the grid in a narrow beam tube, which controls the intensity of the electron beam. It is typically set to a range of -50V to 0V.

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Why is the Cathode Voltage Negative?

The negative voltage applied to the cathode creates an electric field that forces electrons to be emitted from the cathode, forming an electron beam. This is necessary because the electrons are negatively charged, and a negative voltage creates a repulsive force that pushes them away.

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Why is the Anode Voltage Positive?

The positive voltage applied to the anode attracts the negatively charged electrons emitted from the cathode. This creates a potential difference that drives the electron flow through the tube.

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Narrow beam tube

A specialized vacuum tube used in this experiment to create and control a focused beam of electrons.

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Filament

A thin wire inside the narrow beam tube that is heated to emit electrons.

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Cathode

The negative electrode in the narrow beam tube where electrons are emitted.

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Anode

The positive electrode in the narrow beam tube that attracts the emitted electrons.

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Grid

A component within the narrow beam tube that helps control the electron beam.

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Electron acceleration

The process of increasing the speed of electrons using an electric field.

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Electron beam

A stream of electrons moving in the same direction.

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Helmholtz Coils

A pair of coils used to generate a uniform magnetic field, essential for controlling electron movement.

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Electron Beam Radius

The distance from the center of the electron beam to its edge, influenced by the magnetic field strength.

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Electron Path: Closed Circle

When an electron travels in a full circular path within the magnetic field, it forms a closed circle.

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Changing Anode Voltage & Current

Adjustments to the anode voltage and current simultaneously to maintain a constant electron beam radius.

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Electron's Path: Different Radii

The electron beam's path can be manipulated to create circular paths with different radii by adjusting the magnetic field.

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Reversing Magnetic Field Direction

Changing the direction of the magnetic field by inverting the current through the Helmholtz coils.

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Rotating the Electron Tube

Rotating the electron tube 180 degrees to observe the effect of the magnetic field on the electron's path from a different perspective.

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Study Notes

Electron Diffraction Experiment

  • Objective: To study electron diffraction from graphite crystals and determine the interplanar spacing of graphite.

Equipment

  • Electron diffraction tube assembly
  • High-voltage supply unit (0-10 kV)
  • High-value resistor (10 MOhm)
  • Power Supply (0-600 VDC)
  • Vernier caliper (plastic)
  • Connecting cords (various lengths and colors, including red, blue, yellow, black, 50, 250, and 750 mm)

Theory

  • De Broglie Hypothesis: Matter particles, such as electrons, protons, and neutrons, exhibit wave-like properties. The wavelength (λ) associated with a particle is inversely proportional to its momentum (p): λ = h/p, where h is Planck's constant.
  • Electron Wavelength Calculation: The wavelength of an electron accelerated through a potential difference (U) is given by: λ = h / √(2meU), where m is the electron mass and e is the electron charge.
  • Bragg's Law: When electrons are diffracted by a crystal lattice, constructive interference occurs when the path difference between waves scattered from different planes is an integer multiple of the wavelength. This is expressed by Bragg's Law: 2d sin θ = nλ, where d is the interplanar spacing, θ is the Bragg angle, and n is an integer.
  • Graphite Crystal Structure: Graphite consists of layers of carbon atoms arranged in a hexagonal lattice. The interplanar spacing (d) within the layers is a key property for diffraction analysis.

Procedure

  • Setup: Assemble the equipment according to a diagram (figure 3).

  • High Voltage Adjustment: Set the high-voltage power supply to 3 kV, and adjust the high-value resistor according to the instrument's specifications.

  • Electron Diffraction Measurement: Vary the accelerating voltage from 3 kV to 7.5 kV in steps of 0.5 kV. Measure the radii (r) of the diffracted electron rings for each voltage. Repeat measurements for decreasing voltages (7.5 to 3 kV).

  • Data Recording: Record all measurements of radii for each voltage.

  • Graphing: Plot radius (r) versus wavelength (λ) to obtain a graph. The slope of this graph (A) represents a value related to the interplanar distance and can be used to calculate that parameter.

  • Calculating Interplanar Spacing (d): Using the slope from the graph and the equation (2R/A), determine the interplanar spacing (d) from the experiment's equipment and setup (Where R represents the radius of the circular screen).

  • Analysis and Conclusion: Analyze the results, discuss observations, and explain any discrepancies. Address the question of whether the graphite used is single-crystalline or polycrystalline.

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Lab 3 Electron Diffraction PDF

Description

This quiz covers the principles and equipment used in the electron diffraction experiment aimed at exploring the interplanar spacing of graphite crystals. Key theories such as the De Broglie hypothesis and Bragg's Law will also be assessed, emphasizing the wave-particle duality of matter. Prepare to test your understanding of the concepts and calculations involved in this detailed experiment.

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