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K decays with a half-life of 1.248×10 9 years. 89% of those decays are to stable 40 Ca by beta decay , whilst 11% are to 40 Ar by either electron capture or positron emission .
K (0.0117%), 41 K (6.7302%). 39 K and 41 K are stable. The 40 K isotope is radioactive; it decays with a half-life of 1.248 × 10 9 years to 40 Ca and 40 Ar. Conversion to stable 40 Ca occurs via electron emission in 89.3% of decay events. Conversion to stable 40 Ar occurs via electron capture in the remaining 10.7% of decay events. [3]
The two are eigenstates of CP with opposite eigenvalues; K 1 has CP = +1, and K 2 has CP = −1 Since the two-pion final state also has CP = +1, only the K 1 can decay this way. The K 2 must decay into three pions. [14] Since the mass of K 2 is just a little larger than the sum of the masses of three pions, this decay proceeds very slowly ...
In nuclear physics, the Bateman equation is a mathematical model describing abundances and activities in a decay chain as a function of time, based on the decay rates and initial abundances. The model was formulated by Ernest Rutherford in 1905 [ 1 ] and the analytical solution was provided by Harry Bateman in 1910.
A quantity undergoing exponential decay. Larger decay constants make the quantity vanish much more rapidly. This plot shows decay for decay constant (λ) of 25, 5, 1, 1/5, and 1/25 for x from 0 to 5. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.
Potassium-40 undergoes four different types of radioactive decay, including all three main types of beta decay: electron emission (β −) to 40 Ca with a decay energy of 1.31 MeV at 89.6% probability, positron emission (β + to 40 Ar at 0.001% probability, [1] electron capture (EC) to 40 Ar * followed by a gamma decay emitting a photon [Note 1 ...
Particle decay is a Poisson process, and hence the probability that a particle survives for time t before decaying (the survival function) is given by an exponential distribution whose time constant depends on the particle's velocity:
This is because the mass–energy is a convex function of atomic number, so all nuclides on an odd isobaric chain except one have a lower-energy neighbor to which they can decay by beta decay. See Mattauch isobar rule. (123 Te is expected to decay to 123 Sb, but the half-life appears to be so long that the decay has never been observed.)