(a) Write the electron configuration for the element titanium, Ti. How many valence electrons does this atom possess? (b) Hafnium, Hf, is also found in group 4 \(\mathrm{B}\) . Write the electron configuration for Hf. (c) Ti and Hf behave as though they possess the same number of valence electrons. Which of the subshells in the electron configuration of \(\mathrm{Hf}\) behave as valence orbitals? Which behave as core orbitals?

Short Answer

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The electron configuration of Titanium (Ti) is 1s²2s²2p⁶3s²3p⁶4s²3d², and it has 4 valence electrons (located in 4s²3d² orbitals). Hafnium (Hf) has the electron configuration 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁶6s²4f¹⁴5d², and also has 4 valence electrons (located in 5d²6s² orbitals). Both Ti and Hf have the same number of valence electrons, which are found in their respective outermost orbitals. The valence orbitals for Hf are 5d and 6s, while all other orbitals are considered core orbitals.

Step by step solution

01

Determine the electron configuration of Titanium (Ti)

To find the electron configuration of Titanium (Ti), we first look at its atomic number which is 22. This means that Ti has 22 electrons. We will fill the orbitals following the Aufbau principle, Hund's rule, and the Pauli exclusion principle. The electron configuration of Ti is given by the arrangement: 1s²2s²2p⁶3s²3p⁶4s²3d²
02

Determine the number of valence electrons for Titanium (Ti)

Valence electrons are the electrons found in the outermost energy level of an atom. In the case of Ti, the outermost energy level is the 4th energy level. Therefore, Ti's valence electrons are present in the 4s and 3d orbitals. There are 2 electrons in the 4s orbital and 2 electrons in the 3d orbital, so Ti has a total of 4 valence electrons.
03

Determine the electron configuration of Hafnium (Hf)

To find the electron configuration of Hafnium (Hf), we need to look at its atomic number, which is 72. This means that Hf has 72 electrons. We will fill the orbitals following the same rules as for Ti. The electron configuration of Hf is as follows: 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁶6s²4f¹⁴5d²
04

Compare the valence electrons of Titanium (Ti) and Hafnium (Hf)

Observing the electron configuration of Hf, we can see that the valence electron levels are the 5d and 6s orbitals. There are 2 electrons in the 5d orbital and 2 electrons in the 6s orbital, so Hf also has a total of 4 valence electrons, just like Ti.
05

Identify the valence and core orbitals of Hafnium (Hf)

In Hf's electron configuration, the valence orbitals are those that are the outermost and contain valence electrons, which are the 5d and 6s orbitals. All other orbitals in Hf's electron configuration are considered core orbitals as they contain the core electrons. These are the orbitals: 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁶4f¹⁴.

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