Homework Answers
Add Answer to:
(a) Given that the energy operator is Hermitian, explain why hydro- gen atom 2s and 2p, orbitals ...
For the hydrogen atom, list the following orbitals in order of decreasing energy: 3s, 2s, 2p,...
For the hydrogen atom, list the following orbitals in order of decreasing energy: 3s, 2s, 2p, 5s, 4d. Rank orbitals from highest energy to lowest. To rank orbitals as equivalent, overlap them.
5. Consider the following two hybrid orbitals: ϕa = N (2pz + γ2s), ϕb = N (2s - γ2pz) where 2p and 2s are atomic orbitals on one atom. (a) Determine the normalization constant N, expressed in terms of...
5. Consider the following two hybrid orbitals: ϕa = N (2pz + γ2s), ϕb = N (2s - γ2pz) where 2p and 2s are atomic orbitals on one atom. (a) Determine the normalization constant N, expressed in terms of the constant γ. (b) Show that ϕa and ϕb are orthogonal. (c) Sketch the shape of these hybrid orbitals for γ ≒ 0.2. (d) Repeat part (c) for γ = 1.0.
Please show all work. Use the following two equations to determine the orthonormal hybrid orbitals 0.45...
Please show all work.
Use the following two equations to determine the orthonormal
hybrid orbitals
0.45 2s 0.71 2p,+0.55 2p = =0.45- 2s - 0.71 - 2p, +0.55 2p Use the coordinate system shown below for a water molecule. Show that we can write the two bonding hybrid atomic orbitals on the oxygen atom as h-NNT 2S(sin0) 2p, + (cose)2p.) and b2 = N(y2s-(sin0) 2py+ (cos0)2p.) where y is constant and N is the normalization constant. Now use the fact...
3) Rank the following orbitals in order of increasing energy: 3s, 2s, 2p, 4s, 3p, ls,...
3) Rank the following orbitals in order of increasing energy: 3s, 2s, 2p, 4s, 3p, ls, and 3d. 4) How many orbitals in an atom can have the following quantum number or designation? a. 3p_ b. 7s c. 4p. d. 5d . e. 5f f. n=5 5) Answer the following questions by filling in the space: a) The quantum number n describes the of an atomic orbital. b) The shape of an atomic orbital is given by the quantum number...
Answer d a. (4 points) Write the Hamiltonian for the neutral Li atom, explicitly including each...
Answer d
a. (4 points) Write the Hamiltonian for the neutral Li atom, explicitly including each kinetic and potential energy term. b. (4 points) For a one-electron atom, the 2s and 2p orbitals are degenerate. Why does one electron in Li occupy the 2s orbital instead of 2p? How does that relate to the expectation values for the radii of 2s and 2p you computed earlier on this homework? c. (4 points) Li has an ionization energy of 5.39 eV....
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...
To what orbitals may a 2p electron in H atom make electric-dipole allowed radiative transitions and...
To what orbitals may a 2p electron in H atom make electric-dipole allowed radiative transitions and explain.
1 An electron in a lithium atom moves from the 2p orbital to the 2s orbital...
1 An electron in a lithium atom moves from the 2p orbital to the 2s orbital with a ?E?f 2.96 x 10-19 J. When the transition occurs, energy equal to ?? is released in the form ofa photon What is the wavelength of the light that is emitted? 2. Does the emission line determined questionl fall in the visible region of the electromagnetic spectrum? If so, what color is the light that is emitted? 3. Which of the following molecules,...
Calculate the expectation value for the kinetic energy of the hydrogen atom with the electron in...
Calculate the expectation value for the
kinetic energy of the hydrogen atom with the electron in the 2s
orbital. The wavefunction and operator are given below
3. Calculate the expectation value for the kinetic energy of the hydrogen atom with the electron in the 2s orbital. The wavefunction and operator are given below, 1 1a -h2 1 a sin 0 дө = дr 2m 2m,r2 ar 3/2 1 -r/2 a e W200 32a
eleven an energy level? eren 15) Why does it take more energy to remove an electron...
eleven an energy level? eren 15) Why does it take more energy to remove an electron from Althan from Al? 16) Distinguish between an atom in its ground state and an excited atom. 17) Which of the following notations shows the electron configuration of a neutral atom in an excited state? Name the element, and explain how you know if it is excited or not: 1s 2s 2p' (b) 1s 2s 2p 3s! Oxygen is in excited States oxygen crtom...
Please show all work.
Use the following two equations to determine the orthonormal
hybrid orbitals
0.45 2s 0.71 2p,+0.55 2p = =0.45- 2s - 0.71 - 2p, +0.55 2p Use the coordinate system shown below for a water molecule. Show that we can write the two bonding hybrid atomic orbitals on the oxygen atom as h-NNT 2S(sin0) 2p, + (cose)2p.) and b2 = N(y2s-(sin0) 2py+ (cos0)2p.) where y is constant and N is the normalization constant. Now use the fact...
3) Rank the following orbitals in order of increasing energy: 3s, 2s, 2p, 4s, 3p, ls, and 3d. 4) How many orbitals in an atom can have the following quantum number or designation? a. 3p_ b. 7s c. 4p. d. 5d . e. 5f f. n=5 5) Answer the following questions by filling in the space: a) The quantum number n describes the of an atomic orbital. b) The shape of an atomic orbital is given by the quantum number...
Answer d
a. (4 points) Write the Hamiltonian for the neutral Li atom, explicitly including each kinetic and potential energy term. b. (4 points) For a one-electron atom, the 2s and 2p orbitals are degenerate. Why does one electron in Li occupy the 2s orbital instead of 2p? How does that relate to the expectation values for the radii of 2s and 2p you computed earlier on this homework? c. (4 points) Li has an ionization energy of 5.39 eV....
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...
To what orbitals may a 2p electron in H atom make electric-dipole allowed radiative transitions and explain.
1 An electron in a lithium atom moves from the 2p orbital to the 2s orbital with a ?E?f 2.96 x 10-19 J. When the transition occurs, energy equal to ?? is released in the form ofa photon What is the wavelength of the light that is emitted? 2. Does the emission line determined questionl fall in the visible region of the electromagnetic spectrum? If so, what color is the light that is emitted? 3. Which of the following molecules,...
Calculate the expectation value for the
kinetic energy of the hydrogen atom with the electron in the 2s
orbital. The wavefunction and operator are given below
3. Calculate the expectation value for the kinetic energy of the hydrogen atom with the electron in the 2s orbital. The wavefunction and operator are given below, 1 1a -h2 1 a sin 0 дө = дr 2m 2m,r2 ar 3/2 1 -r/2 a e W200 32a
eleven an energy level? eren 15) Why does it take more energy to remove an electron from Althan from Al? 16) Distinguish between an atom in its ground state and an excited atom. 17) Which of the following notations shows the electron configuration of a neutral atom in an excited state? Name the element, and explain how you know if it is excited or not: 1s 2s 2p' (b) 1s 2s 2p 3s! Oxygen is in excited States oxygen crtom...
Most questions answered within 3 hours.
-
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 42 minutes ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 41 minutes ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 42 minutes ago -
Assume memory access is 10 units of time and disk access is
10000 units of time....
asked 1 hour ago -
1. Are all good samples random?
2. Magazines often report surveys giving statistics such as “63%...
asked 1 hour ago -
Under all the various types of market structures, firms
must eventually earn some economic profits for...
asked 1 hour ago -
Consider the following fitness regime for a single locus trait
with two co-dominant alleles: w11 =...
asked 1 hour ago -
A large cable company reports the following.
80% of its customers subscribe to its cable TV...
asked 1 hour ago -
Please answer the question in brief.
Discuss the role of ERP in organizations. Are ERP tools...
asked 1 hour ago -
Discuss the pros and cons of collaborative software such
as SameTime. Does it increase productivity? What...
asked 1 hour ago -
Buying your in-laws a gift because it’s expected is
due to the ____________ motive of gift-giving....
asked 1 hour ago -
Calculate the expected value, the variance, and the standard
deviation of the given random variable X....
asked 2 hours ago