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Impact of mercury (and lack thereof) on the design of HPS lamps
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The first practical high-pressure sodium lamps made at GE in the early 1960s did not contain mercury at all, it is only a bit later in the development of the technology that mercury was added in order to build up voltage to sufficient level (~100 V) in order to ensure an efficient operation on electrical systems. It is only two decades later that lighting manufacturers researched ways of removing the mercury buffer for environmental reasons. The best approach was found in the increase of the xenon fill pressure, made possible with the introduction of the ignition antenna, combined with a longer electrode gap length and a narrower arc tube. The snapshot below shows the impact of those design changes on a 250 W GE Lucalox, with the standard type at the bottom. These changes made the first commercial Hg-free HPS lamp possible, introduced by Philips in 1992 as the EuroSON aimed at the European market (GE never released the Hg-free Lucalox shown here).
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When the first discharge experiments with sodium at elevated pressures were done at the end of the 1950s nobody expected to see such a dramatically broadened spectrum, which was later found to arise from quasi-molecules in the plasma (Na-Na, Na-Xe, and Na-Hg in the case of commercial HPS lamps). So, while mercury does not emit light by itself, it does contribute indirectly to the lamp's peculiar spectral output, particularly by broadening the red side of Na's optical emission around the element's resonant transition. As you point out, this is all the more interesting since the formation of sodium quasi-molecules do not require an overly high pressure. The standard HPS lamp operates under 1.5 bars (0.8 for Hg, 0.1 for Na, about 0.5 for xenon), while the high-pressure mercury lamp of same wattage runs at about 4.7 bars!