Fact check: How much would a 1inch cube of Praseodymium cost with its atomic info embedded in it?

1. Summary of the results

Based on the available analyses, a 1-inch cube of pure Praseodymium would cost approximately $12.27 for the raw material alone ^[1]. This calculation is derived from Praseodymium's current market price of $115.40 per kilogram and the metal's density of 6.475 g/cm³ ^[1]. A 1-inch cube has a volume of approximately 16.387 cm³, resulting in a weight of about 106.23 grams of Praseodymium ^[1].

However, this cost estimate does not include the additional expense of embedding atomic information into the cube ^[1]. The sources confirm that Praseodymium has an atomic number of 59 and symbol Pr ^[2], and that element cubes with embedded information are commercially available products ^{[2] [3]}. Unfortunately, none of the sources provide specific pricing for finished element cubes with embedded atomic data.

2. Missing context/alternative viewpoints

The original question lacks several crucial pieces of context that would significantly affect the final cost:

• Manufacturing and processing costs: The analyses mention detailed production cost factors including raw materials, manufacturing processes, and other expenses ^[4], but these are not quantified for consumer products.
• Commercial markup and retail pricing: Companies like Engineered Labs and Luciteria offer element cubes commercially ^{[2] [3]}, but their pricing structures and profit margins are not disclosed in the analyses.
• Information embedding technology costs: The cost of laser engraving, etching, or other methods to embed atomic information is completely absent from all sources.
• Market variations: Praseodymium is a rare earth element with fluctuating prices, but the analyses don't provide historical price trends or market volatility information that could affect cost estimates.

3. Potential misinformation/bias in the original statement

The original question contains an implicit assumption that such a product exists at a readily calculable price point. While the analyses confirm that element cubes are available commercially ^{[2] [3]}, there's no evidence that standardized pricing exists for "atomic info embedded" cubes specifically.

The question also oversimplifies the complexity of rare earth element pricing and manufacturing. The analyses reveal that Praseodymium production involves complex cost structures ^[4] and specialized applications in photocatalytic materials ^[5], suggesting that pricing for consumer novelty items may not follow straightforward material cost calculations.

Additionally, the phrasing "atomic info embedded" is vague and could refer to various levels of information detail and embedding methods, each with different associated costs that are not addressed in any of the source analyses.