High energy positrons implanted into a metal having a negative positron affinity, f 1 , can be reemitted into vacuum with an energy equal to 2f 1 smeared by the thermal energy. Reduction of the temperature to 4.2 K to increase the brightness of the reemitted positrons is normally offset by a loss of emission efficiency due to the quantum mechanical reflection at the metal-vacuum interface, approaching unity as the temperature is reduced to zero. By using a thin moderator (0.1 mm), the quantum reflection is compensated by multiple encounters with the surface, resulting in an efficient high brightness low energy positron moderator. Our results show that efficient accumulation of positrons at 4.2 K necessary for the formation of antihydrogen can be done if a thin metal film is used to moderate the positrons. [S0031-9007(96)00212-8] PACS numbers: 79.20.Mb Negative positron work-function, f 1 , (affinity) metal films form the key component in low energy positron beams [1]. When high energy b 1 's are stopped and thermalized in a metal film some of them will diffuse to the metal-vacuum interface within their lifetime, where they may be ejected into vacuum with a kinetic energy of 2f 1 blurred by the thermal motion of the e 1 's. When an e 1 approaches the surface from within the metal several channels are open beside the elastic emission into vacuum. Inelastic (electron-hole excitation) emission may occur, the e 1 may pick up an electron and escape into vacuum in the form of the positronium atom (Ps), or it may experience an inelastic collision causing the e 1 to become trapped in the surface potential. In addition, quantum reflection the e 1 wave function may occur due to the rapid change of the potential energy at the surface, whereby the e 1 is returned to the bulk of the metal film.Standard text books [2] show that quantum reflection (QR) approaches unity as the temperature of the e 1 goes to zero. Several papers have been devoted to this problem with the main motivation that accurate data on QR may shed further light into the detail of the e 1 surface potential. The understanding of QR is also important for the production of high brightness low energy e 1 beams. It is clear, at least in principle, that the energy spread of the elastically emitted e 1 's can be narrowed considerably by operating the b 1 moderator at 4.2 K as opposed to room temperature.There exist several measurements of the yield of low energy e 1 , f 1 , from various metals versus temperature [3][4][5]. Furthermore, the energy spread, De, of the emitted e 1 's have been measured as a function of temperature [6,7], showing a significant reduction of De as the temperature is lowered. The temperature dependence of f 1 has also attracted much theoretical attention [8,9] as has e 1 thermalization in cold solids [10].In Ref.[5] it was demonstrated that the reemitted e 1 yield, f 1 , and the Ps yield, f ps , follow the same temperature dependence, and it was shown that both quantities for Cu(111) and Al(110) reduces by a factor of 2.5-3 when the tempera...