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Questions and Answers
What characteristic defines diamagnetic materials?
What characteristic defines diamagnetic materials?
Which scientist is known for formulating the Periodic Law?
Which scientist is known for formulating the Periodic Law?
What did Mendeleev do to address undiscovered elements in his periodic table?
What did Mendeleev do to address undiscovered elements in his periodic table?
Which pioneer sought to establish a system of chemical symbols?
Which pioneer sought to establish a system of chemical symbols?
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What concept did John Newlands introduce related to the periodicity of elements?
What concept did John Newlands introduce related to the periodicity of elements?
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How many elements were included in Dalton's first list?
How many elements were included in Dalton's first list?
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Which of the following was a major contribution of Johann Döbereiner?
Which of the following was a major contribution of Johann Döbereiner?
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Which block of the periodic table includes elements with unfilled d orbitals?
Which block of the periodic table includes elements with unfilled d orbitals?
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What was the significant achievement of Don Eigler and colleagues in 1993?
What was the significant achievement of Don Eigler and colleagues in 1993?
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What was the primary tool used by Don Eigler to create the electron-trapping barrier?
What was the primary tool used by Don Eigler to create the electron-trapping barrier?
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What determines the total number of nodes present in the electron's wave function?
What determines the total number of nodes present in the electron's wave function?
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If there are four nodes in the electron image, what is the energy level of the electron?
If there are four nodes in the electron image, what is the energy level of the electron?
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How many times deeper are the energy levels of He+ compared to those of hydrogen (H)?
How many times deeper are the energy levels of He+ compared to those of hydrogen (H)?
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What complicates the calculation of states and energy levels in multielectron systems?
What complicates the calculation of states and energy levels in multielectron systems?
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What principle states that two electrons with the same spin cannot occupy the same orbital?
What principle states that two electrons with the same spin cannot occupy the same orbital?
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What determines the properties of atoms and ions?
What determines the properties of atoms and ions?
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Which of the following statements is true regarding one-electron systems such as He+?
Which of the following statements is true regarding one-electron systems such as He+?
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Which relationship involves wavelength, frequency, and energy for light?
Which relationship involves wavelength, frequency, and energy for light?
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What is the phenomenon called when light ejects electrons from a metal surface?
What is the phenomenon called when light ejects electrons from a metal surface?
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How does an electron transition from a higher to a lower energy level in a hydrogen atom?
How does an electron transition from a higher to a lower energy level in a hydrogen atom?
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What part of the electromagnetic spectrum does visible light occupy?
What part of the electromagnetic spectrum does visible light occupy?
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What does the wave-particle duality of light imply?
What does the wave-particle duality of light imply?
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What is the role of the threshold energy, or work function, in the photoelectric effect?
What is the role of the threshold energy, or work function, in the photoelectric effect?
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What influences the color of light?
What influences the color of light?
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What effect do electron repulsions have on multielectron species?
What effect do electron repulsions have on multielectron species?
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How is effective nuclear charge (Zeff) calculated?
How is effective nuclear charge (Zeff) calculated?
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Which type of orbital experiences the highest effective nuclear charge?
Which type of orbital experiences the highest effective nuclear charge?
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What does Hund's Rule state about electron configuration in degenerate orbitals?
What does Hund's Rule state about electron configuration in degenerate orbitals?
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What determines the potential energy of electrons in a multielectron atom?
What determines the potential energy of electrons in a multielectron atom?
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Which of the following configurations corresponds to the element Phosphorus (P)?
Which of the following configurations corresponds to the element Phosphorus (P)?
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Which orbital type has the lowest penetration ability?
Which orbital type has the lowest penetration ability?
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Which principle explains why electrons prefer to occupy degenerate orbitals singly before pairing?
Which principle explains why electrons prefer to occupy degenerate orbitals singly before pairing?
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What condition must be met for an electron to be ejected from a metal surface?
What condition must be met for an electron to be ejected from a metal surface?
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Which of the following metals has the highest work function?
Which of the following metals has the highest work function?
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How does the work function (Φ) change among different metals?
How does the work function (Φ) change among different metals?
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What is true about the relationship between the energy of the photon and the kinetic energy of the ejected electron?
What is true about the relationship between the energy of the photon and the kinetic energy of the ejected electron?
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What is the threshold frequency ($
u_t$) for calcium with a work function of $4.64 × 10^{-19}$ J?
What is the threshold frequency ($ u_t$) for calcium with a work function of $4.64 × 10^{-19}$ J?
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Which of the following expressions correctly represents the relationship of energy for an electron and a photon?
Which of the following expressions correctly represents the relationship of energy for an electron and a photon?
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What happens to the excess energy when Ephoton exceeds the work function Φ?
What happens to the excess energy when Ephoton exceeds the work function Φ?
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What is the energy required to eject one mole of electrons for calcium?
What is the energy required to eject one mole of electrons for calcium?
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What is the primary reason why electrons in a classical model of the atom would spiral into the nucleus?
What is the primary reason why electrons in a classical model of the atom would spiral into the nucleus?
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What is the significance of the unique emission spectra of elements?
What is the significance of the unique emission spectra of elements?
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Which of the following statements accurately describes Bohr's model of the atom?
Which of the following statements accurately describes Bohr's model of the atom?
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What happens to an atom when it absorbs a photon of light?
What happens to an atom when it absorbs a photon of light?
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Which of the following is a characteristic of an electron in an atom?
Which of the following is a characteristic of an electron in an atom?
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What happens to an atom in an excited state?
What happens to an atom in an excited state?
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What is the relationship between energy levels and the frequency of emitted light?
What is the relationship between energy levels and the frequency of emitted light?
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What is the significance of the quantum mechanical model in explaining atomic behavior?
What is the significance of the quantum mechanical model in explaining atomic behavior?
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Study Notes
Unit 3 - Electrons in Atoms
- Unit covers electrons in atoms, light, blackbody radiation, photoelectric effect, hydrogen atom, quantum mechanics, periodic table and electron configurations.
3.0 Unit Coverage
- Topics include light, blackbody radiation, photoelectric effect, hydrogen atom, quantum mechanics, periodic table and electron configurations.
3.1 Introduction To Light
- Light is an electromagnetic wave carrying energy.
- Different colors (e.g., red, blue) correspond to different wavelengths (e.g., longer, shorter) and frequencies.
- 480 THz, 635 nm
- 510 THz, 590 nm
- 540 THz, 560 nm
- 610 THz, 490 nm
- 670 THz, 450 nm
- 750 THz, 400 nm
3.1 Electromagnetic Spectrum
- Light is an electromagnetic wave carrying energy.
- Different colors correspond to different wavelengths and frequencies.
- The spectrum includes gamma rays, X-rays, ultraviolet, visible, infrared, microwaves, and radio waves.
- The energy of light is inversely proportional to its wavelength.
3.1 Characterization Of Waves
- Frequency (v): number of peaks passing a point per unit time (measured in Hz, where 1 Hz = 1 s⁻¹).
- Wavelength (λ): distance between peaks (measured in meters). Nanometers (nm) are frequently used for visible light (1 nm = 10⁻⁹ m).
3.1 Speed Of Waves
- The speed of light (c) is constant (approximately 2.9979 × 10⁸ m/s).
- Wavelength (λ) is equal to the speed of light (c) divided by the frequency (v): λ = c/v
3.1 Electromagnetic Spectrum Revisited
- Frequency and wavelength of light are inversely proportional.
- The energy of light is proportional to frequency (E = hv), where h is Planck's constant.
3.2 Blackbody Radiation
- All objects emit electromagnetic radiation due to thermal energy.
- The radiation's intensity pattern depends on its temperature.
3.2 Ultraviolet Catastrophe
- Classical wave theory failed to explain observed blackbody spectra at short wavelengths (ultraviolet catastrophe).
3.2 Max Planck and Quantization
- Planck proposed that light energy is quantized, meaning it comes in discrete packets called photons.
- The energy of a photon (Ephoton) is related to its frequency (ν) by Ephoton = hν, where h is Planck's constant (6.62606957×10⁻³⁴ Js).
3.3 Photoelectric Effect
- Light striking a metal surface can eject electrons.
- The emission of electrons depends on the frequency of light and not its intensity.
- The maximum kinetic energy of emitted electrons depends linearly on the frequency of the incident light, once the threshold frequency (minimum frequency for emission) is exceeded.
3.3 Work Function
- The threshold frequency (ν₀) is related the work function (Φ) by Φ=hν₀.
- The relationship between the kinetic energy of the ejected electron (Ek), the incident light frequency (ν), and the work function (Φ) of the metal is Ek = hν − Φ.
3.3 Example - Threshold Frequency
- The threshold frequency for calcium (given its work function) can be calculated using the equation ν= Φ/(h).
3.3 Example - Kinetic Energy
- The kinetic energy of an ejected electron from calcium (for a given wavelength) is calculated using the formula Ekin = hv − Φ.
3.4 Emission Spectra of Elements
- Each element produces a unique emission spectrum.
3.4 Discrete Energy Levels
- Atoms have discrete energy levels, meaning electrons can only exist at specific energy levels.
- Transitions between energy levels involve absorbing or releasing energy in the form of photons.
3.4 Hydrogen Atom
- The hydrogen atom has a simple set of energy levels.
- The energy level of hydrogen is given by the formula Eₙ = -Rᵢₑ/n² where n is an integer (1, 2, 3…); Rᵢₑ is equal to a constant that depends on the mass of the fundamental particles (electron, proton, etc.).
3.4 Energy of Electron Transition
- Electron transitions between energy levels involve absorbing or emitting a photon with energy ΔE related to the energy levels via ΔE = ±hν.
3.4 Hydrogen Atom Examples
- Calculate the frequency of emission lines when a hydrogen atom transitions.
3.5 Wave Functions
- The solutions to Schrödinger's equation describe the state of an electron in an atom as a wave.
- Ψ² gives the probability of finding an electron at a particular location.
3.5 Principal Quantum Number
- The principal quantum number (n) describes the energy and distance of an electron from the nucleus.
3.5 Angular Momentum Number
- The angular momentum quantum number (l) describes the shape of an electron's orbital.
3.5 Magnetic Quantum Number
- The magnetic quantum number (ml) describes the orientation of an electron's orbital in space.
3.5 s Orbitals
- s orbitals have a spherical shape.
- The number of nodal spheres is n - 1, where n is the principal quantum number.
3.5 p Orbitals
- p orbitals have a dumbbell shape.
- A nodal plane separates the two lobes.
- There are three degenerate p orbitals (mₗ = -1, 0, +1).
3.5 d Orbitals
- d orbitals have a more complex cloverleaf shape.
- There are five degenerate d orbitals (mₗ = -2, -1, 0, +1, +2).
3.5 Specifying Orbitals
- The combination of the n, l, and mₗ designations specify an orbital.
- This corresponds to an electron's motion around the nucleus.
3.5 Spin Quantum Number
- Electrons exhibit spin, a property described by the spin quantum number with possible values of +½ or -½.
- There are two states associated with the lowest energy level.
3.5 Hydrogen Energy Levels
- The energy levels are related to the principal quantum number (n) by Eₙ = -Rᵢₑ/n², where Rᵢₑ is the Rydberg constant.
- The number of orbitals associated with a given energy level is equal to n².
3.5 Orbitals and States of Hydrogen
- Provides a table relating the values of n, l, the number of orbitals, and the total number of states, or electrons, for each energy level.
3.6 One Electron Systems
- Ions with a single electron have the same orbitals as hydrogen, modified by the nuclear charge.
3.6 Multielectron Systems
- Calculating energy levels is complicated by electron repulsions.
- The Pauli Exclusion Principle dictates that no two electrons can have the same set of quantum numbers.
- Electrons fill orbitals in order of increasing energy to minimize their mutual repulsion.
3.6 Ground State Electron Configurations
- Aufbau's Principle: Electron configurations are determined by filling orbitals in order of increasing energy.
3.6 Electron Configuration Exceptions
- In some elements, notably Cr and Cu, electron configuration exceptions occur because of the stabilization gained from particular half-filled and fully-filled subshells.
3.6 Diamagnetic vs Paramagnetic
- A paramagnetic material has unpaired electrons, which align with external magnetic fields, making the material attracted to the field; diamagnetic materials do not have unpaired electrons and thus are repelled by the field.
3.6 Periodic Table Blocks
- The s, p, d, and f blocks of the periodic table correspond to the filling of different types of electron orbitals.
3.6 Development of the Periodic Table
- Describes the historical progression of organizing elements into a periodic table. Key contributors and their contributions are noted.
Additional Topics
- 3.5 Radial Probability Distributions: Visualizes the probability of finding an electron at various distances from the nucleus.
- Spotlight in Engineering-Electron Corral: Describes an experiment demonstrating the wave-like nature of electrons.
- Additional examples of electron configurations: Provides specific examples of writing electron configurations for various elements and ions.
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Description
Test your knowledge on the periodic table and the key concepts in chemistry related to elemental classification. This quiz covers historical figures, fundamental concepts, and the properties of materials in chemistry. See how well you understand the foundations of modern chemistry.