Spectroscopy and Diffraction in Semiconductors

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Questions and Answers

What is the equation for calculating the transition probability of a level to another level?

  • Total(S<sub>1</sub>)(D<sub>Os</sub>)(Cmps)(ΔE)
  • (No.q.es in ground state)(Empty State in 1st Excited State)(ΔE)
  • Total(S<sub>1</sub>)(emp S<sub>2</sub>)(ΔE)
  • ∫f(E)D(E) dE (correct)

What are the factors that determine the height of peaks in an absorption spectrum?

  • The concentration of the analyte
  • The path length of the beam through the sample
  • The extinction coefficient of the analyte
  • All of the above (correct)

What is the primary difference between absorption spectroscopy and scattering spectroscopy?

  • Absorption spectroscopy is a quantitative technique, while scattering spectroscopy is a qualitative technique.
  • Absorption spectroscopy is used to study the electronic transitions of molecules, while scattering spectroscopy is used to study the vibrational transitions of molecules.
  • Absorption spectroscopy measures the amount of light absorbed by a sample, while scattering spectroscopy measures the amount of light scattered by the sample. (correct)
  • Absorption spectroscopy is only applicable to liquids, while scattering spectroscopy is applicable to solids, liquids, and gases.

What is the main reason why absorption spectroscopy is not suitable for studying a single crystal?

<p>Single crystals have a very high scattering coefficient, obscuring the absorption signal. (C)</p> Signup and view all the answers

What is the purpose of using a dilute solution for a spectroscopic analysis?

<p>To decrease the scattering of light by the sample. (A)</p> Signup and view all the answers

Which of the following are examples of scattering spectroscopy?

<p>Raman Spectroscopy (C)</p> Signup and view all the answers

What is the relationship between the concentration of a solution and the number of molecules in a specific volume?

<p>Directly proportional (A)</p> Signup and view all the answers

What is the most appropriate unit for expressing the number of molecules per cubic centimeter?

<p>Molecules/cm<sup>3</sup> (A)</p> Signup and view all the answers

What is the relationship between the energy lost during an inelastic scattering event and the difference in energy levels of the material being studied?

<p>The energy lost is proportional to the difference in energy levels. (D)</p> Signup and view all the answers

Which of the following processes is NOT considered a type of scattering of light?

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

What is the difference between Stokes and anti-Stokes Raman scattering?

<p>Stokes Raman scattering involves the loss of energy by a photon, while anti-Stokes Raman scattering involves the gain of energy by a photon. (D)</p> Signup and view all the answers

What type of spectroscopy technique is used to study the energy levels of electrons in a material?

<p>Electron Energy Loss Spectroscopy (EELS) (A)</p> Signup and view all the answers

What is the major difference between Rayleigh scattering and Raman scattering?

<p>Rayleigh scattering is elastic, while Raman scattering is inelastic. (B)</p> Signup and view all the answers

Which of the following factors is NOT directly related to the energy of light?

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

What is the range of wavelengths for visible light?

<p>400 nm to 700 nm (B)</p> Signup and view all the answers

Which of the following units is typically used to express the energy levels in a material?

<p>Electronvolts (eV) (B)</p> Signup and view all the answers

What is the relationship between the absorption coefficient (α) and the refractive index (n) in a material?

<p>The relationship between α and n is complex and depends on the specific material. (D)</p> Signup and view all the answers

What is the key difference between an elastic and an inelastic scattering process in the context of light interaction with materials?

<p>Inelastic scattering involves a change in the energy of the incident light, while elastic scattering does not. (D)</p> Signup and view all the answers

What is the significance of the pointing vector <S> in the context of electromagnetic waves?

<p>It indicates the direction of energy flow of the wave. (A)</p> Signup and view all the answers

What is the relationship between the wave vector k and the frequency of an electromagnetic wave?

<p><strong>k</strong> is directly proportional to the frequency. (B)</p> Signup and view all the answers

Why is the study of diffraction patterns important in understanding the structure of materials?

<p>Diffraction patterns reveal the average distance between atoms in a material. (D)</p> Signup and view all the answers

Which of the following is NOT a factor that contributes to the broadening of a spectrum observed in a material?

<p>The frequency of the incident light. (C)</p> Signup and view all the answers

What is the typical energy range for thermal excitation processes in materials?

<p>3-4 eV (D)</p> Signup and view all the answers

What are the key features of a plane wave?

<p>All of the above. (D)</p> Signup and view all the answers

Flashcards

2dsinθ=nλ

A formula for diffraction that relates the spacing of crystal planes to the angle of diffraction and wavelength.

E=Eâ‚€ei(kx-wt)

The equation representing a plane wave's electric field in terms of its amplitude, wave vector, and angular frequency.

Pointing vector <S>

A vector that represents the directional energy flux (the rate of energy transfer per unit area) of an electromagnetic wave.

Elastic process in energy transfer

A process where energy is conserved during interaction (no energy loss) typically involving elastic scattering.

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Inelastic process in energy transfer

A process where energy is absorbed or released (not conserved), usually emits a photon or phonon.

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Transition and emission levels

Changes between energy levels within an atom, where an electron moves from a higher to a lower state and emits energy.

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Absorption coefficient (α)

A measure of how much light is absorbed by a material per unit length when light passes through it.

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Spectrum broadening

The widening of spectral lines due to multiple energy levels and absorption processes in a material.

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Transition Probability

The likelihood of moving from one energy level to another in a system.

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Absorption Coefficient

A measure of how much light is absorbed by a medium per unit distance.

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Spectroscopy Types

Two main categories: absorption and scattering spectroscopy.

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Empty State

A quantum state that is unoccupied by electrons, important for transitions.

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Cylindrical Volume Calculation

Formula to find the volume of a cylinder: V=πr²h.

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Density of States (D)

The number of states available for occupation at a given energy level.

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Energy Consumption

The amount of energy used during transitions or reactions in spectroscopy.

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Raman Effect

A phenomenon where light scatters and changes wavelength due to interactions with molecules.

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Avogadro's Number

A constant representing the number of particles in one mole, approximately 6×10²³.

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Raman Scattering

A process where light is scattered by molecules, leading to a shift in energy that conveys information about molecular vibrations.

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Electron Energy Loss Spectroscopy (EELS)

A technique to study material properties by measuring the energy lost by electrons as they pass through a sample.

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Stokes Shift

The difference in wavelength between absorbed and emitted light when a photon loses energy during scattering.

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Anti-Stokes Shift

The phenomenon where emitted light has a higher energy (shorter wavelength) than the absorbed light during scattering.

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Wavenumber in Rayleigh Scattering

A measure related to the frequency of light scattered by particles without energy loss; primarily used in spectroscopy.

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UV-Vis Spectroscopy

A technique that measures the absorption of ultraviolet or visible light by a substance, related to electronic transitions.

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Red Shift and Blue Shift

Red shift indicates light moving away (lower energy), while blue shift indicates light moving closer (higher energy).

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Study Notes

Spectroscopy and Diffraction

  • Spectroscopy and diffraction are studied, focusing on semiconductors.
  • Intensity and amplitude plots are analyzed.
  • Energy levels and structure are examined.

Semiconductors

  • Studied in conjunction with spectroscopy and diffraction.

Schrödinger Equation

  • The Schrödinger equation is mentioned in a potential well context.

Diffraction Patterns

  • Diffraction patterns in solids are mentioned.

Materials/States of Matter

  • Amorphous and crystalline states of matter are mentioned (e.g., H2O ice).
  • Solids, liquids, and gases are also discussed in relation to wave interactions.

Waves

  • Electromagnetic radiation, specifically plane waves denoted by E=E0ei(kx-ωt).
  • Frequency, velocity, and direction are properties of waves.
  • Interaction with matter, emphasizing important aspects of spectroscopy.
  • Wave propagation in different mediums (solid, liquid, gas).

Energy Levels and Structure

  • Energy levels and associated structure are discussed in relation to a material or molecule.
  • Molecular structures, bonding, and spatial arrangements.
  • Constituent atoms of molecules influence energy levels.
  • Energy levels and transitions are important for understanding spectra.

Spectroscopy

  • Energy flow (S) is important to consider in spectroscopy.
  • Material interactions with waves are important for spectroscopy.
  • Absorption, emission, and scattering are components of spectroscopic analysis.
  • Energy levels in atoms/molecules affect spectroscopic observations.

Quantum Processes

  • Energy levels are discussed, possibly related to electron transitions between states.
  • Excitation and de-excitation processes involving photons or phonons.
  • Elastic and inelastic scattering.
  • Quantum mechanics concepts apply to energy levels and transitions.
  • Processes like absorption, emission, and scattering of photons are examined.
  • Photoemission.

Types of Spectroscopy

  • Electron energy loss spectroscopy (EELS).
  • Raman spectroscopy is special, providing information on bonds within molecules.
  • X-ray spectroscopy.
  • Spectroscopy techniques often involve various types of light or energy.

Calculations

  • Calculation methods for determining the number of molecules in a given volume are outlined.
  • Calculations relate to concentration (e.g., mM) and volume.

Experimental Setup

  • Spectroscopic setups involve a sample, potentially a single crystal, and a detector for specific light or energy output).
  • Experimental setups may involve measurements of intensity versus wavelength (e.g., spectrometers).
  • A "prism" is mentioned as a type of spectroscopic component.

Spectroscopy and Crystal Structure

  • Absorption is mentioned in relation to spectroscopy of single crystals.

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