A linear conjugated system (.....C-C-C-C-C-C.....) constains p
carbon atoms in the chains. The average distance of C-C can be
considered equal to 1.5 A and terminal effects can be depreciated.
If 
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A linear conjugated system (.....C-C-C-C-C-C.....) constains p
carbon atoms in the chains. The average distance of...
To a crude first approximation, an electron in a linear polyene may be considered to be...
To a crude first approximation, an electron in a linear polyene may be considered to be a particle in a one-dimensional box. The polyene - carotene contains 22 conjugated C atoms, and the average inter-nuclear distance is 140 pm. Each state up to n =11 is occupied by two electrons. Calculate the separation in energy between the ground state and the first excited state in which one electron occupies the state with n=12.
11-8. Equation (11.4) is an expression for the energy levels of the delocalized MOs for a conjugated chain of N carbon atoms. In the limit of a very long chain of length L, with a LIN the distance be...
11-8. Equation (11.4) is an expression for the energy levels of the delocalized MOs for a conjugated chain of N carbon atoms. In the limit of a very long chain of length L, with a LIN the distance between neighboring carbon atoms, this equation becomes E = α + 2β cos(ka), with k = π/L, 2π/L, 3 π/L, . NTIL Tla). (Yes, k is the wave number of the "waves" represented by equation (11.5)-see discussion at the end of Section...
3. [5] Retinal consists of a chain of carbon atoms roughly 1.5 nm long. Electrons in...
3. [5] Retinal consists of a chain of carbon atoms roughly 1.5 nm long. Electrons in this long chain molecule behave very much like particles in a box The retinal molecule is a linear molecule that has 12 electrons that are free to move about the chain According to the Pauli exclusion principle, when this molecule is in its ground state, these 12 electrons fill the first 6 states of the box. Thus, the lowest energy photon that can be...
The eigenfunctions for a particle in a one-dimensional box of length L, and the corresponding energy...
The eigenfunctions for a particle in a one-dimensional box of length L, and the corresponding energy eigenvalues are given below. What is the variance of measurements for the linear momentum, i.e., Op = v<p? > - <p>2? Øn (x) = ( )" sin nga, n= 1, 2,.. En = n2h2 8m12 Note the Hamiltonian operator to give the energy is H = = - 42 8n72 dx2 nh 2L oo O nềh2 412 Uncertain since x is known. Following Question...
Question # 1: Find the unit of energy in the energy expression of a free particle...
Question # 1: Find the unit of energy in the energy expression of a free particle in 1-D box: Question # 2: A proton in a box is in a state n = 5 falls to a state n = 4 and loose energy with a wavelength of 2000 nm, what is the length of the box? (answer: 4 x 10 m) Question # 3: a. Consider an electron confined to move in an atom in one dimension over a...
17. The distance between an electron and a hole across a band gap following electronic excitation...
17. The distance between an electron and a hole across a band gap following electronic excitation is called A. Bohr exciton radius B. Bohr radius C. quantum D. conduction band 18. When a photon strikes an atom, the energy is absorbed by A. a proton which moves to an excited state. B. a neutron which causes the nucleus to split. C. an electron which moves from the ground to an excited state. D. nothing. A photon is never absorbed by...
Chapter 11: 1. What is a prime rule in naming alkenes? a. Find the longest carbon...
Chapter 11: 1. What is a prime rule in naming alkenes? a. Find the longest carbon chain. b.Find the longest carbon chain containing the alkene. c. Find whether the alkene has a cis- or trans- configuration. d.Find how far the alkene functionality is from either end. 2. What is the IUPAC name of the following alkene? a. cis-5-methyl-2-heptene b. trans-2-ethyl-4-hexene c. trans-5-methyl-2-heptene d. trans-3-methyl-5-heptene 3. What is the hybridization, geometry, and bond angle of the carbon marked by an asterisk?...
e. 18 Test Your Knowledge MULTIPLE CHOICE: Choose the one best answer. 1. Each element has...
e. 18 Test Your Knowledge MULTIPLE CHOICE: Choose the one best answer. 1. Each element has its own characteristic atom in which a. the atomic mass is constant. b. the atomic number is constant. c. the mass number is constant. d. Two of the above are correct. e. All of the above are correct. 2. Which of the following is not a trace element in the human body? a. iodine b. zinc c. iron d. calcium e. fluorine 3. A...
1. We reject the null hypothesis only when: a. our sample mean is larger than the population mean. b. the p value asso...
1. We reject the null hypothesis only when: a. our sample mean is larger than the population mean. b. the p value associated with our test statistic is greater than the significance level of the test we have chosen. c. our sample mean is smaller than the population mean. d. the p value associated with our test statistic is smaller than the significance level of the test we have chosen. 2. In a study of simulated juror decision making, researchers...
Can you please explain in simple terms the methods of this experiment? I'm having difficulty visualizing...
Can you please explain in simple terms the methods of this experiment? I'm having difficulty visualizing and understanding what is being done. I have copied and pasted some of the text from the article. Thank you! Abstract : Obesity, high-fat diets, and subsequent type 2 diabetes (T2DM) are associated with cognitive impairment. Moreover, T2DM increases the risk of Alzheimer's disease (AD) and leads to abnormal elevation of brain beta-amyloid levels, one of the hallmarks of AD. The psychoactive alkaloid caffeine...
11-8. Equation (11.4) is an expression for the energy levels of the delocalized MOs for a conjugated chain of N carbon atoms. In the limit of a very long chain of length L, with a LIN the distance between neighboring carbon atoms, this equation becomes E = α + 2β cos(ka), with k = π/L, 2π/L, 3 π/L, . NTIL Tla). (Yes, k is the wave number of the "waves" represented by equation (11.5)-see discussion at the end of Section...
3. [5] Retinal consists of a chain of carbon atoms roughly 1.5 nm long. Electrons in this long chain molecule behave very much like particles in a box The retinal molecule is a linear molecule that has 12 electrons that are free to move about the chain According to the Pauli exclusion principle, when this molecule is in its ground state, these 12 electrons fill the first 6 states of the box. Thus, the lowest energy photon that can be...
The eigenfunctions for a particle in a one-dimensional box of length L, and the corresponding energy eigenvalues are given below. What is the variance of measurements for the linear momentum, i.e., Op = v<p? > - <p>2? Øn (x) = ( )" sin nga, n= 1, 2,.. En = n2h2 8m12 Note the Hamiltonian operator to give the energy is H = = - 42 8n72 dx2 nh 2L oo O nềh2 412 Uncertain since x is known. Following Question...
Question # 1: Find the unit of energy in the energy expression of a free particle in 1-D box: Question # 2: A proton in a box is in a state n = 5 falls to a state n = 4 and loose energy with a wavelength of 2000 nm, what is the length of the box? (answer: 4 x 10 m) Question # 3: a. Consider an electron confined to move in an atom in one dimension over a...
17. The distance between an electron and a hole across a band gap following electronic excitation is called A. Bohr exciton radius B. Bohr radius C. quantum D. conduction band 18. When a photon strikes an atom, the energy is absorbed by A. a proton which moves to an excited state. B. a neutron which causes the nucleus to split. C. an electron which moves from the ground to an excited state. D. nothing. A photon is never absorbed by...
e. 18 Test Your Knowledge MULTIPLE CHOICE: Choose the one best answer. 1. Each element has its own characteristic atom in which a. the atomic mass is constant. b. the atomic number is constant. c. the mass number is constant. d. Two of the above are correct. e. All of the above are correct. 2. Which of the following is not a trace element in the human body? a. iodine b. zinc c. iron d. calcium e. fluorine 3. A...
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