Single-Photon Atomic Cooling - Raizen Lab - The University of ...
Single-Photon Atomic Cooling - Raizen Lab - The University of ...
Single-Photon Atomic Cooling - Raizen Lab - The University of ...
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to the experimental sequence in Ch. 3. Table 2.1 summarizes the physical<br />
properties discussed here. A more complete tabulation and discussion <strong>of</strong> these<br />
properties is organized in an excellent reference [43].<br />
<strong>Atomic</strong> Number Z 37<br />
Total Nucleons Z + N 87<br />
Relative Natural Abundance η( 87 Rb) 27.83(2)%<br />
<strong>Atomic</strong> Mass m 1.443 160 648(72) × 10 −25 kg<br />
Nuclear Spin I 3/2<br />
Table 2.1: 87 Rb Physical Properties<br />
2.2 Fine and Hyperfine Structure<br />
This section reviews interactions leading to a splitting in atomic energy<br />
levels. First the fine structure is explored, followed by a discussion <strong>of</strong> the<br />
hyperfine structure in rubidium.<br />
2.2.1 Fine Structure<br />
<strong>The</strong> primary source <strong>of</strong> energy level splittings in atoms are the elec-<br />
trostatic attraction between the electrons and nucleus and the electrostatic<br />
repulsion between the individual electrons. <strong>The</strong> energy levels resultant from<br />
these interactions are known as the Bohr energy levels. <strong>The</strong> next most im-<br />
portant contribution to energy level splittings in low Z atoms are a result <strong>of</strong><br />
relativistic effects. <strong>The</strong>se effects are the source <strong>of</strong> the fine structure <strong>of</strong> atomic<br />
spectra. <strong>The</strong> fine structure energy level splittings are smaller than the Bohr<br />
energy level splittings by a factor <strong>of</strong> ∼ α 2 . Here α denotes the fine structure<br />
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