Consider the n = 4 shell of the hydrogen atom. Draw the orbital energy diagram, labelling...
Consider the n = 4 shell of the hydrogen atom. Draw
the orbital energy diagram, labelling
each sub-shell. Now, apply an external magnetic field. Draw the new
levels, label each orbital
and note any degeneracies.
Homework Answers
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Consider the n = 4 shell of the hydrogen atom. Draw
the orbital energy diagram, labelling...
Consider a Hydrogen atom with the electron in the n = 9 shell. What is the...
Consider a Hydrogen atom with the electron in the n = 9 shell. What is the energy of this system? (The magnitude of the ground state energy of the Hydrogen atom is 13.6 eV.) _____??? How many subshells are in this shell? _____??? How many electron orbits are in this main shell? _____??? How many electrons would fit in this main shell? _____??? Please show work! Thanks!
7. The energy levels of the hydrogen atom in the absence of external magnetic field are given by ...
7. The energy levels of the hydrogen atom in the absence of external magnetic field are given by 13.6eV Consider a hydrogen atom at the ground state illuminated by light with frequency v (a). What should this frequency be for the atom to jump to the first excited state? Compute v if Planck's constant is h-6.63 x 1034 Js. (b). What will happen if the frequency of light is twice the frequency computed in (a)?
7. The energy levels of...
Consider the diatomic molecule NF. (a) Draw the shape of the 2 pz orbital on N....
Consider the diatomic molecule NF. (a) Draw the shape of the 2 pz orbital on N. How many nodes does this orbital have? Show the nodes in your diagram. (b) Construct a molecular orbital energy diagram for NF. For this drawing consider both the s and p valence orbitals on each atom, but do not include orbital mixing. Show how the electrons are placed in the MO's. (c) How would orbital mixing alter the MO energy diagram you just constructed?...
-Drawing a crystal field theory energy level diagram Using crystal field theory, draw an electron box...
-Drawing a crystal field theory energy level diagram Using crystal field theory, draw an electron box energy level diagram for the valence d orbitals on the vanadium atom in a complex. Your diagram should show the relative energy of each orbital, and the number of electrons in each orbital. Note: to make your diagram easier to read, label the d orbitals with just the subscript. For example, label the d.2 orbital with just z energy
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalou...
quantum mechanics
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalous Zeeman effect due to a weak magnetic field and write down the magnitude of the energy for each level.
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalous Zeeman effect due to a weak magnetic field and write down the magnitude of the energy for each level.
Compare the following patters for a hydrogen atom which placed in a magnetic field which is very strong compared to its internal field, its orbital and spin magnetic moments precess independently ab...
Compare the following patters for a hydrogen atom which placed in a magnetic field which is very strong compared to its internal field, its orbital and spin magnetic moments precess independently about the external field, and its energy depends on the quantum numbers mi and m, which specify their components along the external field direction the pattern of split levels originating from the level, enumerating the quantum numbers of each component of the pattern is me = 0, m, =-1/2...
13. (14 pts) MO Theory Draw the complete (core and valence) molecular orbital energy level diagram...
13. (14 pts) MO Theory Draw the complete (core and valence) molecular orbital energy level diagram for the homonuclear diatomic molecule Be2. Use standard MO symbols to label the energy levels (That is: o, o, , or n*, as needed, with subscripts indicating which atomic orbitals formed them.) a. Sketch the molecular orbital formed when two 2p orbitals, one each on each Be atom, overlap to form a o antibonding MO b. Using your MO energy level diagram in (a),...
1. Consider the interaction between the 2s orbital of one atom, and the 2p, orbital of...
1. Consider the interaction between the 2s orbital of one atom, and the 2p, orbital of another: + 2s 2PZ The radial wavefunctions of each of these orbitals when they are far apart are shown approximately below. The phases have been chosen so that they will constructively overlap when they get closer. a) Label the positive and negative parts of these wave functions on the diagram above. b) Draw the sum of these wavefunctions on the diagram above. c) Now...
An electron in a Hydrogen atom is in a state with orbital angular momentum 2 (a)...
An electron in a Hydrogen atom is in a state with orbital angular momentum 2 (a) Using the general raising and lowering operator formalism e.g Construct the linear combinations of mi ms states which have 2) j 5/2,my 3/2 3) j-3/2, m,-3/2 (b) An external magnetic field B is applied in the z-direction. The interaction between the external field and the magnetic moment of the electron is given by Hmag_ 2mc Find the energy splitting induced between the states (1)...
Sketch the n = 1, and n = 2 energy levels for a hydrogen atom in...
Sketch the n = 1, and n = 2 energy levels for a hydrogen atom in a magnetic field. Indicate three possible transitions with solid lines. Indicate three forbidden (or at least highly suppressed) transitions with dotted lines, and state why they are forbidden. (Ignore fine and hyperfine structure.)
7. The energy levels of the hydrogen atom in the absence of external magnetic field are given by 13.6eV Consider a hydrogen atom at the ground state illuminated by light with frequency v (a). What should this frequency be for the atom to jump to the first excited state? Compute v if Planck's constant is h-6.63 x 1034 Js. (b). What will happen if the frequency of light is twice the frequency computed in (a)?
7. The energy levels of...
Consider the diatomic molecule NF. (a) Draw the shape of the 2 pz orbital on N. How many nodes does this orbital have? Show the nodes in your diagram. (b) Construct a molecular orbital energy diagram for NF. For this drawing consider both the s and p valence orbitals on each atom, but do not include orbital mixing. Show how the electrons are placed in the MO's. (c) How would orbital mixing alter the MO energy diagram you just constructed?...
-Drawing a crystal field theory energy level diagram Using crystal field theory, draw an electron box energy level diagram for the valence d orbitals on the vanadium atom in a complex. Your diagram should show the relative energy of each orbital, and the number of electrons in each orbital. Note: to make your diagram easier to read, label the d orbitals with just the subscript. For example, label the d.2 orbital with just z energy
quantum mechanics
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalous Zeeman effect due to a weak magnetic field and write down the magnitude of the energy for each level.
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalous Zeeman effect due to a weak magnetic field and write down the magnitude of the energy for each level.
Compare the following patters for a hydrogen atom which placed in a magnetic field which is very strong compared to its internal field, its orbital and spin magnetic moments precess independently about the external field, and its energy depends on the quantum numbers mi and m, which specify their components along the external field direction the pattern of split levels originating from the level, enumerating the quantum numbers of each component of the pattern is me = 0, m, =-1/2...
13. (14 pts) MO Theory Draw the complete (core and valence) molecular orbital energy level diagram for the homonuclear diatomic molecule Be2. Use standard MO symbols to label the energy levels (That is: o, o, , or n*, as needed, with subscripts indicating which atomic orbitals formed them.) a. Sketch the molecular orbital formed when two 2p orbitals, one each on each Be atom, overlap to form a o antibonding MO b. Using your MO energy level diagram in (a),...
1. Consider the interaction between the 2s orbital of one atom, and the 2p, orbital of another: + 2s 2PZ The radial wavefunctions of each of these orbitals when they are far apart are shown approximately below. The phases have been chosen so that they will constructively overlap when they get closer. a) Label the positive and negative parts of these wave functions on the diagram above. b) Draw the sum of these wavefunctions on the diagram above. c) Now...
An electron in a Hydrogen atom is in a state with orbital angular momentum 2 (a) Using the general raising and lowering operator formalism e.g Construct the linear combinations of mi ms states which have 2) j 5/2,my 3/2 3) j-3/2, m,-3/2 (b) An external magnetic field B is applied in the z-direction. The interaction between the external field and the magnetic moment of the electron is given by Hmag_ 2mc Find the energy splitting induced between the states (1)...
Sketch the n = 1, and n = 2 energy levels for a hydrogen atom in a magnetic field. Indicate three possible transitions with solid lines. Indicate three forbidden (or at least highly suppressed) transitions with dotted lines, and state why they are forbidden. (Ignore fine and hyperfine structure.)
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