Interactive Periodic Table of Elements
What is the Periodic Table of Elements?
The Periodic Table of Elements is a systematic arrangement of chemical elements, organized based on their atomic structure and chemical properties. It serves as a cornerstone of chemistry, providing a wealth of information about each element at a glance.
Mathematical Relationships
Several mathematical relationships can be derived from the Periodic Table:
- Atomic Mass Calculation: For an element with isotopes, the average atomic mass (\(A\)) is calculated as:
\[A = \sum_{i} (f_i \times m_i)\]
where \(f_i\) is the fractional abundance of isotope \(i\), and \(m_i\) is its mass number.
- Electron Configuration: The number of electrons in each shell can be determined using the formula:
\[2n^2\]
where \(n\) is the principal quantum number.
- Effective Nuclear Charge: Approximated by Slater's rule:
\[Z_{eff} = Z - S\]
where \(Z\) is the atomic number and \(S\) is the screening constant.