Basic concepts

Question 1

Attenuation

Answer 1

-dN = N ·μ/ρ · dx

N(x) = N_0 · e^(-μ/ρ· x )

Question 2

Wavelength - Energy

Answer 2

E(keV) = 1.2398 / λ (nm)

Question 3

Compton scattering. Energy and angles

Answer 3

E = hν_0 ·αf /(1+αf)

hν’ = hν_0 / (1+αf)

1/tan (θ) = (1 + α)·tan(ɸ)

α = hν_0/ m_ec^2 = hν_0/511keV

f = 1 - cos(ɸ)

θ : Angle of electron
ɸ : Angle of scattered photon
hν’ : Energy of scattered photon
hν_0 : Energy of incoming photon

Question 3

Compton scattering. Energy and angles

Answer 3

E = hν_0 ·αf /(1+αf)

hν’ = hν_0 / (1+αf)

1/tan (θ) = (1 + α)·tan(ɸ)

α = hν_0/ m_ec^2 = hν_0/511keV

f = 1 - cos(ɸ)

θ : Angle of electron
ɸ : Angle of scattered photon
hν’ : Energy of scattered photon
hν_0 : Energy of incoming photon

Question 4

Compton effect likelihood / proportionality:

Answer 4

σ/ρ ∝ N_A · Z/A

Question 5

Photo electric effect, likelihood/proportionality

Answer 5

τ/ρ ∝ Z^3/E^3

Question 6

Pair production, likelihood/proportionality

Answer 6

κ/ρ ∝ Z^2 · P(hν)

Question 7

Bremsstrahlung likelihood/propability

Answer 7

Z^2×z /m

z: charge of particle
m: mass of particle