Week 6 Nuclear Fission Part 1 Flashcards

1
Q

for what atomic masses does fission occur

A

A >~ 120

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2
Q

what is the general concept of nuclear fission

A

a neutron collides with a large unstable nuclei to produce multiple smaller daughter nuclei releasing energy

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3
Q

define Q factor

A

difference in mass energy between parent nuclei and daughter nuclei

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4
Q

what is the Mass Excess equation

A

Δe = Atomic Mass - 1u * A

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5
Q

what is the mass defect equation

A

Z * H + N * m - (A + Δe)

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6
Q

what is true of the signs of mass defect and mass excess

A

mass defect is always positive

mass excess can be positive or negative

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7
Q

what is the process of radioactive decay

A

unstable nuclei transforms to a more stable nuclide

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8
Q

what are the two radioactivity equations

A

A(t) = -dN/dt = Nλexp[-λt]
A(t) = Bexp[-λt]
λ is just a decay constant

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9
Q

what is the half life equation

A

t1/2 = ln2/λ

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10
Q

what are the three types of radioactive decay

A

α, β, γ

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11
Q

how can you determine if fission will be spontaneous or not

A

considering Coulomb potential

requires binding energy to be greater than the coulomb potential

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12
Q

why does fission require activation energy

A

although can sometimes be spontaneous this is very rare so needs to be triggered requiring the activation energy input

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13
Q

define a prompt neutron and the 4 energies it can be released with

A

neutrons that are released 10^-14s after reaction

can have thermal, epithermal, slow or fast energy

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14
Q

what is a delayed neutron

A

neutron that is released by later emissions by unstable fission

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15
Q

what is the reaction rate equation

A

R = σNφ
φ is flux
σ is the cross sectional area

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16
Q

what is the mean free path equation

A

λ = 1/nσ

17
Q

how does cross section compare for fast and slow neutrons

A

fast neutrons have a far smaller cross section that slow ones

18
Q

what three reactions resultant of fast-neutron-nuclei collisions compete with fission

A

elastic scattering
inelastic scattering
radiation capture

19
Q

what is true of cross section for a good fission reaction rate

A

want the cross section of fission to be the dominant cross section out of the 4 possible reactions

20
Q

what is the number of neutrons available to induce fission equation

A

ηa = n σf/(σf+σc)

where σf is the cross section of fission and σc is that of radiation capture

21
Q

define neutron time constant

A

τ is the mean time before absorption

22
Q

what is the neutron absorption equation

A

N = N0exp[(k-1)t/τ]

k is the neutron multiplication factor

23
Q

what is the fission power equation

A

P = QN/τ = QN0exp[(k-1)t/τ] / τ

24
Q

briefly describe the three neutron multiplication factor situations

A

k<1 is sub-critical so energy production slows
k~1 is critical so energy produced linearly
k>1 is super-critical so energy increases exponentially