Population 1 vs Population 2 Stars: Metal Rich vs Metal Poor

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Population 1 stars are classified as metal-rich due to their formation from gas clouds that have been enriched by previous generations of stars, resulting in higher metallicity. These stars are typically younger, more luminous, and still undergoing hydrogen fusion in their cores. In contrast, Population 2 stars are considered metal-poor because they originate from relatively pristine gas clouds with less metal content, leading to older and dimmer stars. The metal content of a star remains largely unchanged throughout its life, with significant differences arising only from the recycling of materials across generations. The hypothetical Population 3 stars, formed from primordial elements, are categorized as metal-free, representing the earliest generation of stars.
Shivansh Mathur
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Population 1 stars are young, hot and more luminious, so when a star is young, fusion of hydrogen is taking place inside it's core. Why then Population 1 stars are called metal rich and Population 2 stars 'matal poor'?
Why shouldn't it be the reverse?
 
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The three populations are characterised by the metal content in the molecular cloud whose collapse gave rise to the star. It doesn't directly have much to do with the age or luminosity - only the initial metal content matters (which doesn't change significantly throughout the life of a typical star in the main sequence).

Pop I stars were born late enough in the universe's history for the gas to have been enriched by earlier generations. This enrichment makes them 'metal rich'. Among every other variety, you'll find massive, bright young stars here, since these must have been born late enough not to leave the main sequence yet.

Pop II stars were born from still relatively pristine clouds of gas, hence they're 'metal poor'. You'll find older, dimmer stars in this population, since these have long enough life spans to still be around.

The hypothetical Pop III stars should be the first stars to be born, and since there was only the primordial hydrogen and helium (and some lithium) around back then, they are thus 'metal free'.Again, the fusion processes throughout the life of a star do not significantly change metal content of this particular star. The change is relatively small, and only repeated recycling and reprocessing of the same material by subsequent generations leads to accumulation of metals in numbers significant enough to differentiate the generations.
 
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