Interpretation: The excited state that has higher energy should be determined.
Concept introduction: Two or more atomic orbitals overlap to form a bond, these orbitals are called molecular orbitals. Count of molecular orbitals generated is same as count of atomic orbitals mixed.
There are two forms of molecular orbital and that includes bonding molecular orbital and antibonding molecular orbital.
Bonding molecular orbitals are those in that electrons are in between the nuclei of two atom.
Antibonding molecular orbitals are those in which electrons are away from the nuclei of two atom. Also, electrons in antibonding orbitals have generally higher energy compared to bonding orbital.
In sigma
In pi
In pi
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Principles of Modern Chemistry
- . Suppose a system of 4 molecules has a total energy of Etot = 4(+) where the energy of each molecule can be in the range Co. Co+c, co + 2e, co + 3c, co + 4e. Find all possible configurations, calculate the weight of each, identify most probable configuration, and calculate the probability of observing the o state.arrow_forward2. What are the term symbols for the microstates possible for the 1s 2s2p' electronic configuration of boron?arrow_forward6. The NaH molecule undergoes a rotational transition from J=0 to J=1 when it absorbs a photon of frequency 2.94×10' Hz. What is the equilibrium bond length of the molecule?arrow_forward
- A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. E trans = (n +n + n²) Erot = J (J + 1) h² 87²1 Evib = (U+ 1 ) h hv h² 8mV (2/3) In the equations, nx, ny, nz, J, and u are quantum numbers, h is Planck's constant, m is the mass of the molecule, V is the volume of the container, I is the moment of inertia of the molecule, and v is the fundamental vibration frequency. For carbon monoxide, CO, the moment of inertia is I = 1.45 x 10-46 kg-m², and the fundamental vibration frequency is v = 2130 cm-¹. Let V = 12.5 L, and let all the quantum numbers be equal to 1. Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions.arrow_forwardA rotating methane molecule is described by the quantum numbers J, MJ, and K. (a) For methane, how many rotational states have an energy equal to hBJ(J + 1) with J= 8? (b) Now consider chloromethane. How many rotationalstates have an energy equal to hBJ(J + 1) with J = 8?arrow_forwardConsider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”arrow_forward
- 3. ^14N^16O (the superscripts represent the atomic mass number) (a) NO molecules rotate at an angular velocity of 2.01x10^12 rev/s, at the quantized rotational state with the rotational quantum number J of 3. Calculate the bond length of NO molecules. (b) Can NO molecules rotate under light irradiation? Explain your answer. (c) Calculate the effective force constant of the vibrational mode of NO at a frequency of 5.63x10^13 Hz measured by the infrared absorption spectrum. (d) NO has a bond energy of 6.29 eV. Applying the parabolic approximation to estimate the longest distance in which N and O atoms can be stretched before the dissociation of the molecular bondarrow_forwardA). A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. ?trans=(?^2?+?^2?+?^2?)(ℎ^2/8??^2/3) ?rot=?(?+1)ℎ^2/8?2? ?vib=(?+1/2)(ℎ?) In the equations, ??, ??, ??, ?, and ? are quantum numbers, ℎ is Planck's constant, ? is the mass of the molecule, ? is the volume of the container, ? is the moment of inertia of the molecule, and ? is the fundamental vibration frequency. For carbon monoxide, CO , the moment of inertia is ?=1.45×10−46 kg⋅m2, and the fundamental vibration frequency is ?=2130 cm−1. Let ?=12.8, and let all the quantum numbers be equal to 11 . Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions. ?trans= J/mol ?rot= J/mol ?vib= J/mol B). If the electronic energy of CO is 9.14 eV per molecule, calculate the total energy of CO per mole. ?total= J/mol C). Which types of energy are…arrow_forwardQ5) Which of the following transitions are electric-dipole allowed? (i) 'Πε Π, (ii) ἦΣ → 'Σ, (iii) Σ+ Δ, (iv) Σ΄ «Σ, (v)Σ → Σ.arrow_forward
- 8C.4 (a) the moment of inertia of a CH4 molecule is 5.27 x 10^-47 kg m^2. What is the minimum energy needed to start it rotating? 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2arrow_forwardP7E.1 If the vibration of a diatomic A-B is modelled using a harmonic oscillator, the vibrational frequency is given by w=(k; /u)", where u is the effective mass, µ=m,m,/(m, +m,). If atom A is substituted by an isotope (for example H substituted for 'H), then to a good approximation the force constant remains the same. Why? (Hint: Is there any change in the number of charged species?) (a) Show that when an isotopic substitution is made for atom A, such that its mass changes from m, to m, the vibrational frequency of A'-B, wAp can be expressed in terms of the vibrational frequency of A-B, @ An as o x=0 A (H/H", where u AB and u, are the effective masses of A-B and A'-B, respectively. (b) The vibrational frequency of 'HCl is 5.63 x 10"s". Calculate the vibrational frequency of (i) 'H*Cl and (ii) 'H"Cl. Use integer relative atomic masses. A'Barrow_forwardDeter mine the rote low ex pression for the following reetion and give units for K. 3Hz t Al, (so4dzarrow_forward
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningPrinciples of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning