There are two rows of inner transition elements in the periodic table ...
For f-orbital, l = 3, ml= 2l + 1 = 7
There are 7 electrons with +1/2 spin and 7 electrons with -1/2 spin. Hence, total electrons are 14.
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There are two rows of inner transition elements in the periodic table ...
Explanation:
The inner transition elements are also known as f-block elements, and they are located at the bottom of the periodic table. They consist of two rows, each containing 14 elements. This arrangement can be explained by the properties of the f-orbital and the magnetic quantum number.
1. F-orbital and Magnetic Quantum Number:
The f-orbital has a total of seven possible values for the magnetic quantum number (m), which ranges from -3 to +3. Each value of m can accommodate two electrons, as stated by Hund's rule. Therefore, the f-orbital can hold a maximum of 14 electrons (2 electrons for each of the seven values of m).
2. Arrangement of Inner Transition Elements:
The inner transition elements occupy the f-block of the periodic table, which is divided into two sections: the lanthanides and the actinides. Each section consists of 14 elements, corresponding to the 14 possible values of the magnetic quantum number.
3. Lanthanides:
The first row of inner transition elements is known as the lanthanides. It starts with the element lanthanum (atomic number 57) and ends with lutetium (atomic number 71). These elements fill the 4f subshell, which has seven possible values of the magnetic quantum number (m = -3 to +3). Therefore, the lanthanides contain 14 elements, filling the 4f subshell completely.
4. Actinides:
The second row of inner transition elements is called the actinides. It begins with the element actinium (atomic number 89) and ends with lawrencium (atomic number 103). These elements fill the 5f subshell, which also has seven possible values of the magnetic quantum number (m = -3 to +3). Hence, the actinides consist of 14 elements, completely filling the 5f subshell.
Conclusion:
The presence of two rows of inner transition elements, each containing 14 elements, can be explained by the f-orbital having seven values for the magnetic quantum number. Each value of m can accommodate two electrons, resulting in a maximum of 14 electrons for the f-orbital. This arrangement is observed in the lanthanides and actinides, which fill the 4f and 5f subshells, respectively.
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