Understanding Rydberg's Constant: What Do R(sub)H and R(sub)infinity Represent?

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SUMMARY

Rydberg's Constant is defined by two specific values: R(sub)H, which equals -2.1799 x 10^-18 J, and R(sub)infinity, valued at 1.0974 x 10^7 1/m. R(sub)H represents the energy of the electron in the ground state of hydrogen, while R(sub)infinity is the Rydberg constant for an infinitely large atomic system. Understanding these constants is essential for grasping atomic structure and spectral lines in quantum mechanics.

PREREQUISITES
  • Basic understanding of quantum mechanics
  • Familiarity with atomic structure
  • Knowledge of energy levels in hydrogen
  • Concept of spectral lines
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  • Research the implications of Rydberg's Constant in spectroscopy
  • Study the derivation of R(sub)H and R(sub)infinity
  • Explore the relationship between energy levels and spectral lines in hydrogen
  • Learn about quantum mechanics principles related to atomic transitions
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Students of physics, researchers in quantum mechanics, and anyone interested in atomic theory and spectroscopy will benefit from this discussion.

Astronomer1
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1. Rydberg's Constant: what's the difference between R (sub) infinity & R (sub) H?



2. R (sub) H = -2.1799x10^-18 J | R (sub) infinity = 1.0974x10^7 1/m (m = meters)



3. No attempt to solve the Q yet; I don't know what's the difference between the two? What do these 2 stand for?
 
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