Grad class notes Flashcards
lower energy limit for ionizing radiation
10 keV
wavelenght of soft vs hard xrays
soft: 10 nm
hard: 200 fm
EM radiation
oscillations are 90 degrees to direction of propagation
-wave-like and particle-like properties
-E = hv = hc/lambda
relativistic kinetic energy
T = mc^2 * {1/(root (1-v^2/c^2) - 1}
formula for cross section
p = a N x
a= area of each target
N= # of targets per volume
x= thickness
unit of barn
10^ - 24 cm^2
classical radius of the electron
2.8 * 10^-15 m
r= k * e^2/(mc^2)
solid angle equation
2pi sin(theta) dtheta
scatter cross section
difference between interaction cross-section and energy transfer cross section
total kinetic energy released in pair production
hv - 2mc^2
what is mass collisional stopping power proportional to?
-electron density (decreases slightly as Z increases)
-z^2, z is charge on heavy paticle
-ln(1/I), I is mean excitation energy of the atom to which the electrons are attached; I increases as Z increases, which means collisional stopping power decreases for higher Z
-1/velocity^2
-mass of particle
-density correction term accounts for “screening” effect of electrons in close proximity with each other
what is radiative mass stopping power proportional to?
Z^2
T (kinetic energy)
Na
radiative stopping power/collisional stopping power is proportional to what?
TZ/800
CSDA range
1/total stopping power
what is total kinetic energy lost to the medium (by the electrons in slowing down) equal to?
to the kinetic energy given to them
N/Z ratio
-must increase for heavier elements to minimize proton-proton repulsion
for Z< 20, N~Z for stability
for Z>20, N>Z
when does alpha decay occur?
-when ratio of neutrons to protons too low
-have to get to lower Z state where you don’y need as many neutrons for stability..
treshold energy for beta plus decay
1.02 MeV
when does electron capture occur?
too many protons in the nucleus of an atom and not enough energy to emit a positron (< 1.02 MeV)
1.02 MeV required for positron emission
isomeric transition
transition from metastable state to ground state
law of radioactive decay
dN/dt = -lambda N
N = No * e^(-lambda t)
A= - lambda N
mean half life
1/lambda
1.44 * half life