Lecture 25 - Nuclear Chemistry

Tuesday, April 23, 2024

9:00 AM

Please complete course evaluations https://boisestate.bluera.com/boisestate/ +1% if >70% respond (we are at 63%!)
Please complete this questionnaire to reflect on ﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/923957"Chemistry Attitudes and Experiences (End of Semester) (due April 26th)
Midterm 4 is graded. Please review your exam on Gradescope and with the key outside SCNC 336
Class notes (1-24): https://bricejurban.github.io/CHEM101/ 
Assignments this week:
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/modules/items/3067394"HW 15 Acids and Bases due Tuesday 4/23
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/967944"HW 16 Nuclear Chemistry due Monday 4/29
Read Chapter 9
Reminders:
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/967954"Final Exam is April 30th at 9:30 AM
The final exam is cumulative and multiple choice
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/modules/items/3073947"Practice Exam (copies at back of lecture hall and under Week 16 Module)
Monday 4/29 is the last day to submit any late Aktiv Chemistry assignments

My CIC (EDUC 107) Hours: Friday 11AM - 1PM
Office Hours (SCNC 314 or Zoom): ﷟HYPERLINK "https://calendly.com/bricejurban/office-hours"By appointment
Today (4/23)
What is Nuclear Chemistry?
Review of the atom and isotopes
Nuclear Reactions
Half-Life
Fission vs Fusion

Thursday (4/25)
Final Exam Review

Tuesday (4/30)
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/967954"Final Exam at 9:30 AM
https://chemteam.info/Radioactivity/Radioactivity.html has helpful tutorials on today's topic.
Review of the Atom and Isotopes
 
Untitled picture.png SUBATOMIC PARTICLES 
TABLE 1.1 
Particle 
Electron 
Proton 
Neutron 
Mass (kg) 
9.109 x 100' 
1.672 X 
1.675 X 
Mass (amu) 
5.486 x 
1.0073 
1.0087 
Charge (e) 
Location 
Outside nucleus 
Inside nucleus 
Inside nucleus 
Untitled picture.png Isotopic Notation (with charges) 
15 3- 
Mass Number (A) 
Charge 
Atomic Number (Z) 
7 
Element Symbol 
The atom has internal structure. Protons and neutronshave internal structure as well.
Untitled picture.png Machine generated alternative text:
Structure within 
the atom 
size < 10-19m 
< 10-18m 
Nucleus 
Neutron 
size = 10-14m 
Proton 
= 10-15m 
_ 10-10m 
Many nuclei have many protons and neutrons.
We need to account for all of these using
isotopic notation

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Untitled picture.png Isotopic Notation (with charges) 
15 3- 
Mass Number (A) 
Charge 
Atomic Number (Z) 
7 
Element Symbol 

Untitled picture.png Machine generated alternative text:
Structure within 
the atom 
size < 10-19m 
< 10-18m 
Nucleus 
Neutron 
size = 10-14m 
Proton 
= 10-15m 
_ 10-10m 
Untitled picture.png 

Nuclear Decay Processes
There are thousands (>3000) of known isotopes of the elements.

Only about 300 are considered stable

Stable isotopes show no evidence of radioactive decay

The plot to the right shows a plot of neutron number N as a function of Atomic number Z.

The stable isotopes (blue) follow a line with slope 
N/Z = 1 for Z < 40 & N/Z ~ 1.5 for Z >40

When an isotope is too neutron or proton heavy it will decay to change its N/Z ratio to a stable ratio

There are three main classes of nuclear decay processes which can be categorized by changes in the atomic number, neutron number, mass number, and charge as well as typical energies of the emitted particle
Alpha α
Beta β 
There are three different modes of β decay
β– (electron) emission
β+ (positron) emission
EC (electron capture)
Gamma γ
180px-Alfa_beta_gamma_radiation.svg.png 
Alpha particles may be completely stopped by a sheet of paper, beta particles by aluminium shielding. Gamma rays can only be reduced by much more substantial mass, such as a very thick layer of lead.
Untitled picture.png Machine generated alternative text:
160 
150 
140 
130 
120 
110 
A = 111 isobar 
100 
90 
80 
70 
60 
Beta 
emission 
A = 48 isobar 
30 
Positron emission or 
20 
electron capture 
10 
Alpha 
emission 
iiiiiii 
• Stable 
• Radioactive 
10 
20 
30 40 50 
60 
70 
80 
90 
100 110 
Atomic number, Z 
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180px-Alfa_beta_gamma_radiation.svg.png 



Other nuclear decay processes include
IC (Internal conversion) (relaxation of excited nuclei by e– emission)
proton emission (very small N/Z, protons "boil off" from the nuclei)
neutron emission (very large N/Z, neutrons "boil off" from the nuclei)
spontaneous fission (split into two daughter nuclei of about equal size)
https://en.wikipedia.org/wiki/Radioactive_decay#List_of_decay_modes for more exotic types
Untitled picture.png Machine generated alternative text:
160 
150 
140 
130 
120 
110 
A = 111 isobar 
100 
90 
80 
70 
60 
Beta 
emission 
A = 48 isobar 
30 
Positron emission or 
20 
electron capture 
10 
Alpha 
emission 
iiiiiii 
• Stable 
• Radioactive 
10 
20 
30 40 50 
60 
70 
80 
90 
100 110 
Atomic number, Z 

Untitled picture.png Machine generated alternative text:
Decay 
Type 
ß 
ß 
EC 
Emitted 
Particle 
Energetic e 
Energetic e 
ve 
Photon 
Electron 
Typical 
Energy of 
Emitted Particle 
AZ 
-2 
o 
o 
-2 
o 
o 
AA 
o 
o 
0.1 
0.1 < Ee 
< 2 MeV 
60Ni* 
125 SU 
Example 
Th+a 
14N + + ve 
22 N e + + Ve 
Ni+y 
125Sb + e 
Occurrence 
z > 83 
(N/Z) < (N/Z) light nuclei 
(N/Z) < (N/Z) stable heavy nuclei 
Any excited nucleus 
Cases where y-ray emission is inhibited 
1024px-Radioactive_decay_modes.svg.png undefined


Nuclear reactions are written and balanced much like chemical reactions, with both the mass number A and the electric charge being conserved. 
To remember both mass number (and charge) 
we represent the elementary particles by the symbols
There are two other important particles. We will generally omit these but they are always present in β decay processes to conserve "lepton" number.
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Nuclear reactions are written and balanced much like chemical reactions, with both the mass number A and the electric charge being conserved. 
we represent the elementary particles by the symbols

with charge
without charge
Proton
11p+
11p
Neutron
10n0
10n
Electron
0–1e– 
0–1e
Positron 
0+1e+
0+1e
α-particle
42He2+
42He
γ-photon
00γ0
γ
There are two other important particles. We will generally omit these but they are always present in β decay processes to conserve "lepton" number.
electron neutrino
νe
product in β+ and EC
electron antineutrino
 ̅νe
product in β–

Untitled picture.png Machine generated alternative text:
@ @ @ Alpha decay ...l 
no laughing 
matter! 
Untitled picture.png Machine generated alternative text:
2He 
{44 D 
Proton rich nuclei (Z > 83) can decay into more stable isotopes by emitting protons and neutrons in the form of an α-particle.

An alpha particle contains 2 protons and 2 neutrons. Thus Z and N are both reduced by 2 and the mass number A is reduced by 4.

This is depicted by the diagram at the left. 
A parent nuclide P decays to a daughter nuclide D and emits an α-particle

Alpha decay: AZP → (A-4)(Z-2)D + 42He
 
Examples include:


Uranium-238: 




Radon-222:



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Untitled picture.png Machine generated alternative text:
2He 
{44 D 


Polonium-210:
Untitled picture.png Machine generated alternative text:
Betra 
Beta Decay ... 
a bit negative? 

Untitled picture.png 
Proton-deficient nuclei (high N/Z ratio) can decay by transforming a neutron into a proton, which results in the emission of a beta-minus (β–) particle (electron) and antineutrino  ̅νe.

We use the symbol 0–1e for the emitted electron to help us balance nuclear reactions.

This is depicted by the diagram at the left. 
In this nuclear process, a neutron is converted into a proton. 
N decreases by 1, Z increases by 1, and A stays the same.

Beta-minus decay: AZP → A(Z+1)D + 0–1e +  ̅νe

Examples include:


Carbon-14:




Phosphorus-32





Strontium-90
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Untitled picture.png 

Untitled picture.png Machine generated alternative text:
Betra 
Beta Decay ... 
positron 
a bit 
Untitled picture.png Machine generated alternative text:
z-ID 
Proton-rich nuclei (low N/Z ratio) can decay by transforming a proton into a neutron, which results in the emission of a beta-plus (β+) particle (positron) and neutrino νe.

We use the symbol 0+1e for the emitted positron to help us balance nuclear reactions.

This is depicted by the diagram at the left. 
In this nuclear process, a proton is converted into a neutron. 
N increases by 1, Z decreases by 1, and A stays the same.

Beta-plus decay: AZP → A(Z–1)D + 0+1e + νe

Examples include:


Carbon-11:




Fluorine-18:




Positron Emission Tomography (PET) is an imaging technique that has can be used to detect tumors. When a positron is emitted by a nuclear tracer it will come in contact with an electron shortly and the resulting annihilation results in the production of two high-energy gamma-rays that can be detected. The most important radioisotopes for PET are 11C, 13N, 15O, and 18F which decay after 20, 10, 2, and 110 minutes. These isotopes are produced in particle accelerators called cyclotrons and must be incorporated quickly into molecules that can be metabolized by the body. One example is (18F)fluoro-D-glucose (FDG) which is used in cancer studies. Other molecules include 15O2,15OH2, and 13NH3 used to measure blood flow in the heart and brain. 
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Untitled picture.png Machine generated alternative text:
z-ID 
Untitled picture.png Machine generated alternative text:
e 
Betra 
For those that don't like 
position emission let me 
introduce you to . . . 
Electron Capture 
Untitled picture.png 
Electron capture is another process by which proton-rich nuclei (low N/Z ratio) can decay by transforming a proton into a neutron. This does not involved a positron, but as the name implies is the result of the nucleus capturing an orbital electron. This results in the conversion of a proton to a neutron (as in positron emission). The only emitted particle is a neutrino.
This is depicted by the diagram at the left. 
In this nuclear process, a proton is converted into a neutron. 
N increases by 1, Z decreases by 1, and A stays the same.

Electron Capture: AZP + 0–1e→ A(Z–1)D + νe

Examples include:


Cadium-109:





Xenon-127:




Lanthanum-137:
Half-Life of Nuclear Decay
Untitled picture.png 
 Isotopes play a critical role in nuclear chemistry. Many isotopes have unstable nuclei that decay over time, a property utilized in fields like radiometric dating and cancer treatment. Radiocarbon dating, for instance, measures the decay of carbon-14 to determine the age of organic materials up to about 50,000 years old.
Untitled picture.png Machine generated alternative text:
Nuclide 
(tritium) 
4Be 
Itc 
Il a 
1%La 
86Rn 
2åTh 
BNP 
2%pu 
12.26 years 
—1 x 10 
5730 years 
2.601 years 
15.02 hours 
14.28 days 
87.2 days 
3.01 x 105 years 
1.28 x 109 years 
44.6 days 
5.27 years 
29 years 
453 days 
59.7 days 
8.041 days 
36.41 days 
—6 x 104 years 
3.824 days 
1600 years 
1.40 x 1010 years 
7.04 x 108 years 
4.468 x 109 years 
2.350 days 
2.411 x 104 years 
Decay Mode 
e 
e 
e 
e 
e 
e 
e 
Je- (89.3%) 
IE.c. (10.7%) 
e 
e 
e 
E.C. 
E.C. 
e 
E.C. 
E.C. 
e 
Daughter 
12Mg 
47 Ag 
54 Xe 
2%Rn 
2åpu 
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Untitled picture.png 
Psychokinetic Energy Meter used to detect 
supernatural activity (Fake science)
Untitled picture.png 
Geiger counters used to detect radioactivity use a
 Geiger–Müller tube to sense radiation (Real science)
 Isotopes play a critical role in nuclear chemistry. Many isotopes have unstable nuclei that decay over time, a property utilized in fields like radiometric dating and cancer treatment. Radiocarbon dating, for instance, measures the decay of carbon-14 to determine the age of organic materials up to about 50,000 years old.


Nuclei with an unfavorable N/Z ratio have a limited lifespan. It is impossible to predict exactly when any particular atom will decay as decay is a stochastic event. However, when we measure a sample of a given nuclide it will have an average disintegration rate (A) that is consistent from one sample to another.

A plot of ln A against time t is linear 
with slope –k = –(ln2)/t½

The time it takes for a sample to be reduced to half its initial value in a time t½ is called the half-life
Untitled picture.png Machine generated alternative text:
Nuclide 
(tritium) 
4Be 
Itc 
Il a 
1%La 
86Rn 
2åTh 
BNP 
2%pu 
12.26 years 
—1 x 10 
5730 years 
2.601 years 
15.02 hours 
14.28 days 
87.2 days 
3.01 x 105 years 
1.28 x 109 years 
44.6 days 
5.27 years 
29 years 
453 days 
59.7 days 
8.041 days 
36.41 days 
—6 x 104 years 
3.824 days 
1600 years 
1.40 x 1010 years 
7.04 x 108 years 
4.468 x 109 years 
2.350 days 
2.411 x 104 years 
Decay Mode 
e 
e 
e 
e 
e 
e 
e 
Je- (89.3%) 
IE.c. (10.7%) 
e 
e 
e 
E.C. 
E.C. 
e 
E.C. 
E.C. 
e 
Daughter 
12Mg 
47 Ag 
54 Xe 
2%Rn 
2åpu 
The decay rates of unstable nuclei range from fractions of a second to billions of years.

Untitled picture.png Machine generated alternative text:
133Xe undergoes beta decay and has a half life of 5 days 
decay to 6_25 g? 
50 
How long will it take a 50.0 g sample of 133Xe to 
0 5 10 15 20 25 
Mass of131Xe 50 
Half Lives: 
30 
10 
10 
15 
Time (davs) 
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Untitled picture.png Machine generated alternative text:
133Xe undergoes beta decay and has a half life of 5 days 
decay to 6_25 g? 
50 
How long will it take a 50.0 g sample of 133Xe to 
0 5 10 15 20 25 
Mass of131Xe 50 
Half Lives: 
30 
10 
10 
15 
Time (davs) 


The half life for 131I, which undergoes beta decay, is 8 days. How many grams will be left if 200. g of 131I is left for 32 days?

Time (days)
0
8
16
24
32

Mass (g)
200
100
50
25
12.5


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80.0 g of a sample of 60Co, which undergoes beta decay, was originally placed in a container. After 20 years, 5.0 g remained. What is the half-life of 60Co?

Time (years)
0
5
10
15
20

Mass (g)
80
40
20
10
5

20 years
80 g initially
5 g remaining
 134Cs, which undergoes beta decay, has a half-life of 2 years. What was the original amount of a sample of 134Cs if 6 grams remained after 10 years?

Time (years)
0
2
4
6
8
10
Mass (grams)
192
96
48
24
12
6

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An alternate way to solve more complicated decay problems involves using this equation: (No) (1/2)total time / half-life time = N
where No is the initial amount and N is the final amount

How many years will it take for 88.0 grams of tritium to decay to an 11.0 gram sample? (The half-life of tritium is 12.3 years.)








The decay of radioactive nuclides with known half-lives enables geochemists to measure the ages of rocks and organic material from their isotopic compositions
Carbon-14 Decay 
Very high-energy cosmic rays produce neutrons that collide with nitrogen-14 nuclei in the atmosphere to produce carbon-14 nuclei

The resulting carbon-14 enters the carbon reservoir by mixing with stable carbon-12 as H14CO3- in the ocean and as 14CO2 in the atmosphere and in tissues of plants and animals. The radioactive element carbon-14 has a half-life of 5730. years

 The carbon-14 decay rate of a sample obtained from a young tree is 0.296 disintegration per second per gram of the sample. Another wood sample prepared from an object recovered at an archaeological excavation gives a decay rate of 0.109 disintegration per second per gram of the sample. What is the age of the object? 




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Decay of Uranium 238 to Lead-206
Untitled picture.png Machine generated alternative text:
238 
234 
230 
226 
222 
218 
214 
210 
206 
81 
219b 
219b 
82 
83 
84 PO 
84 PO 
84 PO 
85 
86 Ru 
86 
87 
88 
89 
åTh 
90 
91 Pa 
91 
92 
Atomic number, Z 
Uranium-238 (the most common isotope of uranium) has a half-life of 4.468 × 109 years and after a series of (relatively) short-lived intermediates (see decay chain to the left) ends in the stable lead isotopes lead-206. A detailed analysis of the 206Pb to 238U ratio can determine the age of a mineral. The oldest rocks on earth are about 3.8 billion years oldAn estimate of the age of the earth and solar system (4.5 billion years old) comes from isotopic analysis of meteorites believed to have formed at the same time.
How much U-238 should be present in a sample 
2.50 x 109 years old, if 2.00 grams was present initially?

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238 
234 
230 
226 
222 
218 
214 
210 
206 
81 
219b 
219b 
82 
83 
84 PO 
84 PO 
84 PO 
85 
86 Ru 
86 
87 
88 
89 
åTh 
90 
91 Pa 
91 
92 
Atomic number, Z 
Nuclear Fission vs Nuclear Fusion
Nuclear fission is the process of splitting a heavy nucleus into lighter nuclei, typically induced in nuclear reactors and atomic bombs, releasing large quantities of energy. 

Fusion, on the other hand, involves combining light nuclei, such as hydrogen isotopes, to form heavier nuclei, as occurs in the sun, also releasing immense energy.

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142 
56 
235 
92 
92 
235 
92 
235 
92 
133 
51 
101 
41 
140 
54 
94 
38 
235 
92 
235 
92 
235 
92 
235 
92 
The fission of 235U follows many different pathways, and some 34 elements have been identified among the fission products. In any single fission event two particular nuclides are produced together with two or three secondary neutrons; collectively, they carry away about 200 MeV of kinetic energy. Usually, the daughter nuclei have different atomic numbers and mass numbers so the fission process is asymmetric. Three of the many pathways are

Untitled picture.png Machine generated alternative text:
72 
30 zn + 
ä?Sr + 
94 
36 + 
162 
62Sm 2 011 
153 
54 xe 3 011 
139 
56 Ba 3 011 

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Untitled picture.png Machine generated alternative text:
142 
56 
235 
92 
92 
235 
92 
235 
92 
133 
51 
101 
41 
140 
54 
94 
38 
235 
92 
235 
92 
235 
92 
235 
92 

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Untitled picture.png Machine generated alternative text:
Molten sodium or 
liquid water under 
high pressure 
(carries heat to 
steam generator) 
Nuclear 
reactor 
Control rod 
Uranium fuel 
Steam 
Steam 
generator 
Pump 
Heat 
exchanger 
Pump 
Pump 
800 F 
Steam turbine 
(generates electricity) 
Condenser 
(steam from turbine 
is condensed 
by river water) 
River 
1000 F 


Most nuclear power reactors in the United States use pellets of UO2 that
have been sintered to form hard ceramics, which are then inserted into fuel rods.

The uranium is primarily 238U, but the amount of 235U is enriched above natural
abundance to a level of about 3%. The moderator used to slow the neutrons (to
increase the efficiency of the fission) is ordinary water in most cases, so these reactors are called “light-water” reactors. The controlled release of energy by nuclear fission in power reactors demands a delicate balance between neutron generation and neutron loss. Control rods containing 112Cd or 10B, with large neutron capture efficiencies, effectively control the neutron flux. These rods are automatically inserted into or withdrawn from the fissioning system in response to changes in the neutron flux. As the nuclear reaction proceeds, the moderator (water) is heated and transfers its heat to a steam generator. The steam then goes to turbines that generate electricity


Nuclear fusion is the union of two light nuclides to form a heavier nuclide with the release of energy. Fusion processes are often called thermonuclear reactions because they require that the colliding particles possess very high kinetic energies, corresponding to temperatures of millions of degrees, before they are initiated.Fusion is a process that occurs naturally in all stars hot enough to sustain fusion. 
The_Sun_in_white_light.jpg
Nuclear fusion is the union of two light nuclides to form a heavier nuclide with the release of energy. Fusion processes are often called thermonuclear reactions because they require that the colliding particles possess very high kinetic energies, corresponding to temperatures of millions of degrees, before they are initiated.Fusion is a process that occurs naturally in all stars hot enough to sustain fusion. 

Untitled picture.png 
In the early life of a star hydrogen 11H is converted into helium 42He (through intermediate hydrogen-2 and helium-3). This process loses mass, but according to the law of conservation of mass-energy, this is converted into energy (E=mc2). Thus a small amount of mass can be converted into a massive amount of energy!The process can continue to produce heavier nuclei if the star is hot enough. Three helium atoms can combine (through intermediate beryllium) to form 12C. Nucleosynthesis can continue beyond the formation of carbon to produce nitrogen, oxygen. If temperatures continue to increase (as with red giant stars) elements as heavy as iron, cobalt and nickel can form. However, elements heavier than these can only be formed (due to the strong binding energy per nucleon) when certain massive stars explode in an events termed supernovae. Chemists such as Glenn Seaborg have produced heavy elements in particle accelerators. For example, the element technetium is not found in nature but can be produced synthetically by shooting high energy hydrogen-2 at molybdenum atoms. Elements 93-118 were all produced using particle accelerators.Science to control nuclear fusion as an energy alternative to nuclear fission is an attractive area of current research. A sustained nuclear fusion reaction would solve the energy crisis on earth. However, initiating controlled fission is difficult because bringing the two nuclei together requires a temperature of about 100 million K. Magnetic confinement fusion such as the International Thermonuclear Fusion Reactor tokamak shown below are candidates for fusion reactors.
The_Sun_in_white_light.jpg 
The reactions that occur in main sequence stars like our sun are fusion reactions that convert hydrogen into helium and produce energy.

Untitled picture.png
In the early life of a star hydrogen 11H is converted into helium 42He (through intermediate hydrogen-2 and helium-3). This process loses mass, but according to the law of conservation of mass-energy, this is converted into energy (E=mc2). Thus a small amount of mass can be converted into a massive amount of energy!The process can continue to produce heavier nuclei if the star is hot enough. Three helium atoms can combine (through intermediate beryllium) to form 12C. Nucleosynthesis can continue beyond the formation of carbon to produce nitrogen, oxygen. If temperatures continue to increase (as with red giant stars) elements as heavy as iron, cobalt and nickel can form. However, elements heavier than these can only be formed (due to the strong binding energy per nucleon) when certain massive stars explode in an events termed supernovae. Chemists such as Glenn Seaborg have produced heavy elements in particle accelerators. For example, the element technetium is not found in nature but can be produced synthetically by shooting high energy hydrogen-2 at molybdenum atoms. Elements 93-118 were all produced using particle accelerators.Science to control nuclear fusion as an energy alternative to nuclear fission is an attractive area of current research. A sustained nuclear fusion reaction would solve the energy crisis on earth. However, initiating controlled fission is difficult because bringing the two nuclei together requires a temperature of about 100 million K. Magnetic confinement fusion such as the International Thermonuclear Fusion Reactor tokamak shown below are candidates for fusion reactors.
Untitled picture.png 
Tokamek - torus-shaped vessel that is a candidate for fusion research.

 

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