Chapter 6: Problem 102
Using the periodic table as a guide, write the condensed electron configuration and determine the number of unpaired electrons for the ground state of \((\mathbf{a}) \mathrm{Cl},(\mathbf{b}) \mathrm{Al},(\mathbf{c}) \mathrm{Zr},(\mathbf{d}) \mathrm{As},\) (e) Sb, (f) W.
Short Answer
Expert verified
Cl: 1, Al: 1, Zr: 2, As: 3, Sb: 3, W: 2 unpaired electrons.
Step by step solution
01
Understand Electron Configuration
Electron configuration represents the distribution of electrons in an atom's atomic orbitals. Condensed electron configurations use the previous noble gas to simplify notation. Unpaired electrons are those that are single in an orbital, not paired.
02
Write Electron Configuration for Cl
Chlorine (Cl) has an atomic number of 17. The full electron configuration is 1s虏 2s虏 2p鈦 3s虏 3p鈦. Using the noble gas (Neon, Ne) to abbreviate, the condensed configuration becomes [Ne] 3s虏 3p鈦.
03
Determine Unpaired Electrons for Cl
In the 3p orbital for Cl, we have 3p鈦. This distribution is represented as 鈫戔啌 鈫戔啌 鈫. There is 1 unpaired electron in Chlorine.
04
Write Electron Configuration for Al
Aluminum (Al) has an atomic number of 13. The full electron configuration is 1s虏 2s虏 2p鈦 3s虏 3p鹿. The condensed configuration using (Ne) is [Ne] 3s虏 3p鹿.
05
Determine Unpaired Electrons for Al
The 3p orbital for Al is 3p鹿, shown as 鈫, which indicates there is 1 unpaired electron in Aluminum.
06
Write Electron Configuration for Zr
Zirconium (Zr) has an atomic number of 40. The electron configuration is 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d虏. The condensed version using (Krypton, Kr) is [Kr] 5s虏 4d虏.
07
Determine Unpaired Electrons for Zr
In the 4d orbital, 4d虏 is represented as 鈫戔啈, showing that there are 2 unpaired electrons in Zirconium.
08
Write Electron Configuration for As
Arsenic (As) has an atomic number of 33. The electron configuration is 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鲁, and condensed using (Ar) gives [Ar] 4s虏 3d鹿鈦 4p鲁.
09
Determine Unpaired Electrons for As
For As in the 4p orbital, 4p鲁 looks like 鈫 鈫 鈫, so there are 3 unpaired electrons in Arsenic.
10
Write Electron Configuration for Sb
Antimony (Sb) has an atomic number of 51. Its electron configuration is 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d鹿鈦 5p鲁, simplified to [Kr] 5s虏 4d鹿鈦 5p鲁.
11
Determine Unpaired Electrons for Sb
In the 5p orbitals of Sb, 5p鲁 appears as 鈫 鈫 鈫, thus Sb has 3 unpaired electrons.
12
Write Electron Configuration for W
Tungsten (W) has an atomic number of 74. The electron configuration is 1s虏 through 5p鈦, plus 6s虏 4f鹿鈦 5d鈦, abbreviated as [Xe] 6s虏 4f鹿鈦 5d鈦.
13
Determine Unpaired Electrons for W
The 5d orbital of W, 5d鈦, written as 鈫 鈫戔啈 鈫, shows there are 2 unpaired electrons in Tungsten.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Unpaired Electrons
In atomic structure, unpaired electrons are electrons that remain by themselves in an orbital. They significantly influence the magnetic properties of an atom. If all electrons are paired in an atom, it exhibits diamagnetism and is slightly repelled by a magnetic field. However, if there are unpaired electrons, the atom is paramagnetic, meaning it is attracted by a magnetic field.
When determining the number of unpaired electrons, focus on the outermost subshells containing the highest energy electrons, typically the p, d, or f subshells:
When determining the number of unpaired electrons, focus on the outermost subshells containing the highest energy electrons, typically the p, d, or f subshells:
- Determine the total number of electrons present and their distribution among the available orbitals according to the aufbau principle.
- Use Hund's rule, which states that every orbital in a subshell is singly occupied before any orbital is doubly occupied, to find any unpaired electrons.
Atomic Orbitals
Atomic orbitals are regions in an atom where electrons are likely to be found. Each orbital can hold a maximum of two electrons with opposite spins. There are different types of orbitals鈥攕, p, d, and f鈥攅ach having a distinct shape and energy level:
- s Orbitals: Spherical in shape and found at every energy level, starting with the first one.
- p Orbitals: Dumbbell-shaped, available from the second energy level, and consist of three orbitals (p鈧, p岬, p_z).
- d Orbitals: More complex in shape, available from the third energy level, and consist of five orbitals.
- f Orbitals: Even more complex, appearing from the fourth energy level, and consist of seven orbitals.
Noble Gas Configuration
The noble gas configuration is a method of shorthand in electron configuration that simplifies the notation by starting from the previous noble gas. This form of abbreviated notation indicates the presence of filled inner shells and highlights the valence electrons, which are the ones most involved in chemical reactions.
To write the noble gas configuration:
To write the noble gas configuration:
- Locate the noble gas that precedes the element in question on the periodic table. For example, Neon (Ne) for Chlorine (Cl), Argon (Ar) for Arsenic (As), and Krypton (Kr) for Zirconium (Zr).
- Write the symbol of the noble gas in brackets. For instance, [Ne] for Chlorine.
- Add the remaining electron configuration for the element鈥檚 valence electrons beyond the inner-shell (noble gas) configuration. For Chlorine, after [Ne], the configuration is 3s虏 3p鈦.
Periodic Table
The periodic table is a tabular arrangement of elements, ordered by their atomic number, electron configurations, and recurring chemical properties. It provides a comprehensive framework for understanding atomic structure and the relationships between elements.
Key features of the periodic table include:
Key features of the periodic table include:
- Groups: Vertical columns that categorize elements sharing similar chemical behaviors due to having the same number of valence electrons.
- Periods: Horizontal rows where elements show a progression of properties. Moving from left to right, elements gain electrons in their outer shells.
- Blocks: Sections within the table that classify elements according to their valence electron orbitals: s, p, d, and f blocks.