1. **D-D fusion reactions. Deuterium-deuterium (D-D) fusion reactions have two branches that occur with approximately equal...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. **D-D fusion reactions. Deuterium-deuterium (D-D) fusion reactions have two "branches" that occur with approximately equal probability. The two reactions are D+DT+P and D+D He+N, where T, P, and N stand for triton (3H), proton, and neutron, respectively. The figure on the next page show data from an experiment that measured the properties of the D- D fusion reaction. The data were produced by shooting a 35 microAmp D+ beam into a 2-mm thick chamber with very cold D gas of density 1.4 1016 atoms/cm. (a) Examine the top figure on the next page. Sketch what the figure would look like if the He+N branch was half as likely as the T+P branch. (b) How many neutrons per second are produced when using a 116 keV D beam? (c) Assume that they used a standard time interval for all of their mea- surements and that they measured 800 3 He counts in their 45 detector when they used a 110 keV beam. About how many proton counts did they measure with the 110 keV beam in the 22 detector? The 90 detector? (d) The authors used this parametric fit to their differential cross section data: do = a + b cos + c cos 0 where a, b, and c are constants. Once they determined a, b, and c, what formula did they use to determine the total cross section? For the 117 keV beam, their fitted coefficients in mb/sr (= millibar/sterradian) for the proton-triton branch are a = 1.243, b = 0.55, and c = 0.34. What is the total cross section for this case? c.m. Differential Cross Section (mb/sr) COUNTS -600 400 200 3HE T E = 90 keV lab 0 = 45 0 100 200 300 400 CHANNEL 2.4 110 keV nHe 20 18 1.6 pH 1.4 23 10 Integrated Cross Section (mb) 1 P 2H(d,n)He 0.8 0 20 40 60 80 100 120 140 160 180 c.m. Angle (deg) 0.1 0 20 40 60 80 100 120 Ed (keV) Figure 1: (top) Counts measured in a silicon detector at an angle of 45 when the D gas target was bombarded by a 90 keV D beam. The x-axis is proportional to the energy of the incident particles. The nominal energies of the He, T, and P products in a D-D reaction are 0.82, 1.01, and 3.03 MeV. (bottom left) Measured differential cross section do/d as a function of 0. The curves are fits to the data. (bottom right) Total cross section as a function of the energy of the incident D beam. 1. **D-D fusion reactions. Deuterium-deuterium (D-D) fusion reactions have two "branches" that occur with approximately equal probability. The two reactions are D+DT+P and D+D He+N, where T, P, and N stand for triton (3H), proton, and neutron, respectively. The figure on the next page show data from an experiment that measured the properties of the D- D fusion reaction. The data were produced by shooting a 35 microAmp D+ beam into a 2-mm thick chamber with very cold D gas of density 1.4 1016 atoms/cm. (a) Examine the top figure on the next page. Sketch what the figure would look like if the He+N branch was half as likely as the T+P branch. (b) How many neutrons per second are produced when using a 116 keV D beam? (c) Assume that they used a standard time interval for all of their mea- surements and that they measured 800 3 He counts in their 45 detector when they used a 110 keV beam. About how many proton counts did they measure with the 110 keV beam in the 22 detector? The 90 detector? (d) The authors used this parametric fit to their differential cross section data: do = a + b cos + c cos 0 where a, b, and c are constants. Once they determined a, b, and c, what formula did they use to determine the total cross section? For the 117 keV beam, their fitted coefficients in mb/sr (= millibar/sterradian) for the proton-triton branch are a = 1.243, b = 0.55, and c = 0.34. What is the total cross section for this case? c.m. Differential Cross Section (mb/sr) COUNTS -600 400 200 3HE T E = 90 keV lab 0 = 45 0 100 200 300 400 CHANNEL 2.4 110 keV nHe 20 18 1.6 pH 1.4 23 10 Integrated Cross Section (mb) 1 P 2H(d,n)He 0.8 0 20 40 60 80 100 120 140 160 180 c.m. Angle (deg) 0.1 0 20 40 60 80 100 120 Ed (keV) Figure 1: (top) Counts measured in a silicon detector at an angle of 45 when the D gas target was bombarded by a 90 keV D beam. The x-axis is proportional to the energy of the incident particles. The nominal energies of the He, T, and P products in a D-D reaction are 0.82, 1.01, and 3.03 MeV. (bottom left) Measured differential cross section do/d as a function of 0. The curves are fits to the data. (bottom right) Total cross section as a function of the energy of the incident D beam.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these physics questions
-
Businesses use budgets to plan for the future. Thats what you will be doing for this assignment. Rather than budgeting for your current financial situation, I want you to put together a budget for...
-
PLEASE GIVE CORRECT ANSWERS Prove that the number of comparators in any sorting network is (n log n). [4 marks] (ii) What does Part (d)(i) imply in terms of the depth of any sorting network? [1 mark]...
-
On December 31, 2021, Tiny Tims Tech, Inc. a private company who follows ASPE, leased a colour copier from Cory Copy Corporation at a price of $479,079. The lease agreement specifies annual payments...
-
Marcia Wilson owns and operates Marcia's Dry Cleaning, which is an upscale dry cleaner in a well-to-do suburban neighborhood. Marcia makes her business stand out from the competition by providing...
-
There is a sorting algorithm, Stooge-sort, which is named after the comedy team, The Three Stooges. if the input size, n, is 1 or 2, then the algorithm sorts the input immediately. Otherwise, it...
-
Stone Brewing Co. is a San Diego brewer that has sold its beers for over two decades. Stone has maintained its trademark and brand from the beginning, registering the STONE mark in 1998. Stone has...
-
Star Power Company is a power company in the Midwest region of the United States. Star buys and sells energy on the spot market. Star can store power in a high-capacity battery that can store up to...
-
ESG CSR Study caseSunset Manufacturing Inc. manufactures Umbrellas in the Western Canadian market, and is comparing the budget for the current year with the actual results. The market has been good...
-
CONTRACTS are ("agreements") and the legal requirements necessary for parties to create legally binding obligation to buy and sell real property. The contracts for the sale of Real property MUST be...
-
Peterson Packaging Inc. does not currently pay dividends. The company will start with a $0.50 dividend at the end of year three and grow it by 8% for each of the next six years. After six years of...
-
A metal sphere has an initial charge of + 8 mu C . What is the final charge on the sphere after 5 . 5 times 1 0 1 3 electrons have been placed on the sphere?
-
What are decorators in Python, and how do they contribute to the functionality of a program? Provide an example of a useful decorator.
-
How does firmware play a pivotal role in the operation and management of Internet of Things (IoT) devices, enabling functionalities such as sensor data acquisition, network communication, protocol...
-
I put together some supplemental practice problems you can use to learn the math required to calculate Contribution Margin, Contribution Rate, and Breakeven Point. Let me know if you have any...
-
Your employer is planning to shift resources from employing a direct sales method to using distributors and creating an online direct distribution presence. As a marketing professional, you are asked...
-
Consider the sections of two circuits illustrated above. Select True or False for all statements.After connecting a and b to a battery, the voltage across R1 always equals the voltage across R2.Rcd...
-
The elementary reversible liquid-phase reaction takes place in a CSTR with a heat exchanger. Pure A enters the reactor. (a) Derive an expression (or set of expressions) to calculate G(T) as a...
-
The liquid-phase reaction in Problems P11-4A and P12-7A is to be carried out in a semibatch reactor. There are 500 mol of A initially in the reactor at 25C. Species B is fed to the reactor at 50C and...
-
For the decomposition of cumene discussed in this chapter, if an adsorbing inert is present, how would you compare the initial rate as a function of total pressure when desorption is the RLS, as...
-
In the Application A Beer Manufacturer's ShortRun Cost Curves," the short-run variable cost function for Japanese beer is \(V C=0.55 q^{1.67}\). If the fixed cost is 600 and the firm produces 550...
-
A firm's production function is \(q=K^{0.4} L^{0.6}\). What is the firm's cost-minimizing input bundle when \(w=3\) and \(r=4\) ? Draw a diagram depicting the firm's long-run expansion path. What is...
-
If a competitive firm's cost increases due to an increase in the price of a factor of production or a tax, the firm's manager can quickly determine by how much to adjust output by calculating how the...
Study smarter with the SolutionInn App