Problem 65 Make a chart of all allowable or... [FREE SOLUTION]

Chapter 7: Problem 65

Make a chart of all allowable orbitals in the first four principal energy levels of the hydrogen atom. Designate each by type (for example, \(s, p\) ) and indicate how many orbitals of each type there are.

Short Answer

Expert verified

Energy level 1 has 1s (2 electrons total). Energy level 2 has 2s (2 electrons) and 2p (6 electrons). Energy level 3 has 3s (2 electrons), 3p (6 electrons) and 3d (10 electrons). Energy level 4 has 4s (2 electrons), 4p (6 electrons), 4d (10 electrons) and 4f (14 electrons).

Step by step solution

Orbitals in The First Energy Level

In the first energy level (n=1), there is only one type of orbital that exists: 1s. There鈥檚 only one 1s orbital, it can hold up to 2 electrons.

Orbitals in The Second Energy Level

In the second energy level (n=2), there are two types of orbitals: 2s and 2p. There鈥檚 one 2s orbital which can hold up to 2 electrons and there are three orbitals in the 2p sublevel (2px, 2py, 2pz). Each p orbital can hold up to 2 electrons, so that's 6 electrons total in the 2p sublevel.

Orbitals in The Third Energy Level

In the third energy level (n=3), there are three types of orbitals: 3s, 3p, and 3d. There鈥檚 one 3s orbital which can hold up to 2 electrons; three orbitals in the 3p sublevel (3px, 3py, 3pz) capable of holding 6 electrons total; and the 3d sublevel contains 5 d orbitals (3dxy, 3dxz, 3dyz, 3dx2-y2, 3dz2) which can hold 10 electrons total.

Orbitals in The Fourth Energy Level

In the fourth energy level (n=4), there are four types of orbitals: 4s, 4p, 4d, and 4f. There鈥檚 one 4s orbital which can hold up to 2 electrons; three orbitals in the 4p sublevel (4px, 4py, 4pz) capable of holding 6 electrons total; five orbitals in the 4d sublevel (4dxy, 4dxz, 4dyz, 4dx2-y2, 4dz2) capable of holding 10 electrons total; and seven orbitals in the 4f sublevel (4fxxx, 4fyyy, etc.) which can hold a total of fourteen electrons.

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91影视

Make a chart of all allowable orbitals in the first four principal energy levels of the hydrogen atom. Designate each by type (for example, \(s, p\) ) and indicate how many orbitals of each type there are.

Short Answer

Step by step solution

Orbitals in The First Energy Level

Orbitals in The Second Energy Level

Orbitals in The Third Energy Level

Orbitals in The Fourth Energy Level

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