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Questions and Answers
What is the applicability of the de-Broglie equation?
What is the applicability of the de-Broglie equation?
Which of the following electronic configurations is not possible?
Which of the following electronic configurations is not possible?
What is the maximum number of electrons that can be accommodated in a g-subshell?
What is the maximum number of electrons that can be accommodated in a g-subshell?
What is the correct ground state electronic configuration of chromium?
What is the correct ground state electronic configuration of chromium?
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What is the ionisation energy of He+?
What is the ionisation energy of He+?
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How many spectral lines can be emitted by a hydrogen atom excited by 8.4 eV of energy?
How many spectral lines can be emitted by a hydrogen atom excited by 8.4 eV of energy?
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What does the value of ψ (psi) the wave function depend on?
What does the value of ψ (psi) the wave function depend on?
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What is the orbital angular momentum of an electron in a d-orbital?
What is the orbital angular momentum of an electron in a d-orbital?
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What is the nature of the space between the proton and electron in a hydrogen atom?
What is the nature of the space between the proton and electron in a hydrogen atom?
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What is the significance of the de-Broglie equation in quantum mechanics?
What is the significance of the de-Broglie equation in quantum mechanics?
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Study Notes
Atomic Structure and Spectra
- The ground state of a nitrogen atom has 3 unpaired electrons, associated with Hund's rule of maximum multiplicity.
- The energy of an electron in the second Bohr's orbit in a hydrogen atom is -3.41 eV, and in a He+ ion is -13.62 eV.
- When an electron is brought from an infinite distance to the nucleus of an atom, the energy of the electron-nucleus system decreases to a greater negative value.
- The Aufbau principle states that electrons occupy the lowest available energy levels.
- The Pauli's exclusion principle states that no two electrons in an atom can have the same set of quantum numbers.
- The Heisenberg uncertainty principle states that it is impossible to know both the position and momentum of an electron with infinite precision.
- The de-Broglie wavelength of a particle is given by λ = h/mv, where h is the Planck constant, m is the mass of the particle, and v is its velocity.
- The energy of an electron in a hydrogen atom is given by E = -13.6 eV / n^2, where n is the principal quantum number.
- The Lyman series, Balmer series, and Paschen series are sets of spectral lines in the hydrogen atom spectrum, corresponding to transitions from higher energy levels to lower energy levels.
- The angular momentum of an electron in an orbital is given by L = √(l(l+1)) ℎ / 2π, where l is the orbital angular momentum quantum number.
- The probability of finding an electron in a px orbital is not zero in the yz plane.
Electron Configurations
- The electronic configuration of an element is a description of the arrangement of electrons in its atomic orbitals.
- The ground state electronic configuration of an element is the lowest energy arrangement of electrons in its atomic orbitals.
- The electronic configuration of an element can be written in terms of its atomic orbitals, such as 1s, 2s, 2p, 3s, 3p, etc.
- The electronic configuration of an element can be used to predict its chemical properties and behavior.
Atomic Numbers and Mass Numbers
- The atomic number of an element is the number of protons in its atomic nucleus.
- The mass number of an element is the sum of the number of protons and neutrons in its atomic nucleus.
- The atomic number of an element determines its position in the periodic table.
- The mass number of an element determines its mass.
Quantum Mechanics
- The wave function ψ (psi) represents the probability of finding an electron in a particular location.
- The wave function ψ (psi) is a mathematical function that describes the behavior of an electron in a quantum system.
- The Schrödinger equation is a mathematical equation that describes the behavior of an electron in a quantum system.
- The Aufbau principle and the Pauli's exclusion principle are used to determine the electronic configuration of an element.
Spectroscopy
- Spectroscopy is the study of the interaction between matter and electromagnetic radiation.
- The energy of an electron in a hydrogen atom can be calculated using the formula E = hf, where h is the Planck constant and f is the frequency of the radiation.
- The Lyman series, Balmer series, and Paschen series are sets of spectral lines in the hydrogen atom spectrum, corresponding to transitions from higher energy levels to lower energy levels.
- The energy of an electron in a hydrogen atom is given by E = -13.6 eV / n^2, where n is the principal quantum number.
Nuclear Reactions
- Nuclear reactions involve the interaction of atomic nuclei with other particles, such as neutrons or protons.
- The discovery of neutrons led to the development of nuclear reactions and the understanding of the nucleus.
- The reaction between beryllium and alpha particles led to the discovery of neutrons.
Electron Emission
- The energy of an electron emitted from a metal surface is given by the formula E = hf, where h is the Planck constant and f is the frequency of the radiation.
- The kinetic energy of an electron emitted from a metal surface is given by the formula K = hf - Φ, where Φ is the work function of the metal.
- The work function of a metal is the minimum energy required to remove an electron from the metal surface.
- The photoelectric effect is the phenomenon of electron emission from a metal surface when it is exposed to electromagnetic radiation.
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