Beryllium in strong magnetic fields

We investigate the electronic structure of the beryllium atom subjected to a strong magnetic field in the regime $0⩽\gamma ⩽10\mathrm{a.u.}$. The ground as well as many excited states of spin-singlet, -triplet, and -quintet multiplicity covering the magnetic quantum numbers $\mid M\mid =0,1,3,6$ for both positive and negative $z$ parity are discussed and analyzed. Total and one-particle ionization energies are presented. Transition wavelengths as a function of the field strengths for allowed dipole transitions are provided.

Figure 1

Total energies $E_{\mathrm{Tot}}$ of all 61 calculated bound states with nonpositive magnetic quantum number $M$ in a.u. as a function of the magnetic field strength $\gamma$. It can be seen that the behavior of the total energies can be classified by the spin projection $S_z$.

Figure 2

Total energies $E_{\mathrm{Tot}}$ of the states constituting the ground state of the beryllium atom in a.u. as a function of the magnetic field strength $\gamma$. The inset shows a magnification for a certain regime of field strengths.

Figure 3

One-particle ionization energies for the states $\nu {}^{1}0^{+}$ $(\nu =1,2,3)$ in a.u. as a function of the magnetic field strength $\gamma$.

Figure 4

One-particle ionization energies for the states $\nu {}^1(-1)^{+}$ $(\nu =1,2)$ and $\nu {}^3(-1)^{+}$ $(\nu =1,2,3)$ in a.u. as a function of the magnetic field strength $\gamma$.

Figure 5

One-particle ionization energies for the states $\nu {}^3(-1)^{-}$ $(\nu =1,2)$ in a.u. as a function of the magnetic field strength $\gamma$.

Figure 6

One-particle ionization energies for the states $\nu {}^3(-3)^{+}$ $(\nu =1,2)$ and $\nu {}^5(-3)^{+}$ $(\nu =1,2,3)$ in a.u. as a function of the magnetic field strength $\gamma$.

Figure 7

One-particle ionization energies for the states $\nu {}^5(-3)^{-}$ $(\nu =1,2)$ in a.u. as a function of the magnetic field strength $\gamma$.

Figure 8

One-particle ionization energies for the states $\nu {}^5(-6)^{+}$ $(\nu =1,2)$ in a.u. as a function of the magnetic field strength $\gamma$.

Figure 9

Transition wavelengths $\lambda$ for the circular polarized transitions $\nu {}^{1}0^{+}\to \mu {}^1(-1)^{+}$ $(\nu =1,2,3,\mu =1,2)$ in $\mathrm{\AA }$ as a function of the magnetic field strength $\gamma$.

Figure 10

Transition wavelengths $\lambda$ for the linear polarized transitions $\nu {}^3(-1)^{+}\to \mu (-1)^{-}{}^3$ $(\nu =1,2,3,\mu =1,2)$ in $\mathrm{\AA }$ as a function of the magnetic field strength $\gamma$. For $\gamma >0.05$ the reader observes that the wavelengths corresponding to the transitions with $(\nu ,\mu )=(2,1)$, (3,1), and (3,2) decrease monotonically whereas those for the transitions (1,1), (1,2), and (2,2) exhibit distinct maxima.