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Introduction: Over the last two decades, there have been many publications reporting experimental observations of excess heat generation and anomalous nuclear reactions occurring in metals at ultra-low energies, now known as „low-energy nuclear reactions‟ (LENR). Theoretical explanations of the LENR phenomena have been described based on the theory of Bose-Einstein condensation nuclear fusion (BECNF) in micro/nano-scale metal particles [1-7]. The BECNF theory is based on a single basic assumption capable of explaining the observed LENR phenomena; deuterons in metals undergo Bose-Einstein condensation. Proposed experimental tests of the basic assumption/theoretical predictions as well as potential application to cryogenic ignition of deuteron fusion in micro/nano-scale metal particles will be described. Anomalous Experimental Results: The conventional deuterium fusion in free space proceeds via the following nuclear reactions: {1} D + D → p (3.02 MeV) + T (1.01 MeV); {2} D + D → n (2.45 MeV) + 3 He (0.82 MeV); {3} D + D → 4 He + γ (23.8 MeV). The cross-sections for reactions {1} – {3} are expected to be extremely small at low energies (≤ 10 eV) due to the Gamow factor arising from Coulomb barrier between two deuterons. The measured cross-sections have branching ratios: (σ{1}, σ{2}, σ{3}) ≈ (0.5, 0.5, ~10 -6 ). From many experimental measurements by Fleischmann and Pons in 1989 [8] and many others over 20 years since then (see references in [6,7,9]), the following experimental results have emerged. At ambient temperatures or low energies (≤ 10 eV), deuterium fusion in metal proceeds dominantly via the following reactions: {4} D(m) + D(m) → 4 He(m) + 23.8 MeV (m), where m represents a host metal lattice or metal particle. Deuteron Mobility in Metal: Experimental proof of proton (deuteron) mobility in metals was first demonstrated by Coehn in his hydrogen electromigration experiment [10]. A theoretical explanation of Coehn‟s results [10] is given by Isenberg [11]. The Coehn‟s results are not well known in review articles and textbooks. Theory: For applying the concept of the BEC mechanism to deuteron fusion in a micro/nano-scale metal particle, we consider N identical charged Bose nuclei (deuterons) confined in an ion trap (or a metal grain or particle). Some fraction of trapped deuterons are assumed to be mobile as discussed above. The trapping potential is 3-dimensional (nearlysphere) for micro/nano-scale metal particles, or quasi two-dimensional (nearly hemi-sphere) for micro-scale metal grains, both having surrounding boundary barriers. The barrier heights or potential depths are expected to be an order of energy (≤ 1 eV) required for removing a deuteron from a metal grain or particle. For simplicity, we assume an isotropic harmonic potential for the ion trap to obtain order of magnitude estimates of fusion reaction rates. N-body Schroedinger equation for the system is given by   1 H E   