E2/M1 Mixing ratio calculator

The M1/E2 mixing ratio δ = sqr(TE2/TM1),
where the T is the transition probability [1/sec].
In history, the sign convention of the mixing ratio is NOT consistent.
Here I only use + sign.


TE2 = (1/sec).

TM1 = (1/sec).




arctan(δ) =      (deg.)

δ =   




The numerical expressions for the E2 and M1 single-particle Weisskopf estimates:
( only a rough estimation.)

A = (atomic mass)

Eγ = (in the unit of MeV)




TE2 =   (1/sec).

TM1 =   (1/sec).

-----------------------------------

TE1 =   (1/sec).

TM2 =   (1/sec).



Formulae:
$\textrm{TE2}$ = $7.2 \times 10^{7} \,\, (E_{\gamma})^5 A^{4/3}$
$\textrm{TM1}$ = $5.6 \times 10^{13} (E_{\gamma})^3$

$\textrm{TE1}$ = $1.0 \times 10^{14} (E_{\gamma})^3 A^{2/3}$
$\textrm{TM2}$ = $2.2 \times 10^{7} \,\, (E_{\gamma})^5 A^{2/3}$


Note: M2 transitions are generally inhibited compared to the Weisskopf estimate by a factor at least 10, according to D. Kurath and R.D. Lawson, Phys, ReV. 161, 915.

Useful resources: slides from 2013 postgraduate summer school.