Atomic Orbitals: Subshells, Shapes, and Sets of Orbitals

Atomic Orbitals and Subshells

Relationship Between Subshell and Orbital Shape

Atomic orbitals are regions in an atom where electrons are likely to be found. The shape and orientation of these orbitals depend on the subshell (designated by the letters s, p, d, f) to which they belong.

• Subshell Letter: Indicates the type and shape of the orbital.

• Orbital Shape: Determined by the subshell; each subshell has a characteristic shape.

Key Subshells and Their Shapes:

Subshell	Orbital Shape	Number of Shapes
S	Spherical	1
P	Dumbbell	3
D	Cloverleaf	5
F	Complex	7

Additional info: The f subshell is typically ignored in introductory GOB Chemistry because it is more complex and not required for basic understanding.

Examples and Applications

• Example: For n = 5, subshell = d, the correct set of values corresponds to a d orbital in the 5th energy level.

• Practice: The 7s orbital possesses the most orbital shapes among the options given.

Sets of Orbitals

Definition and Identification

A set of orbitals refers to all the orbitals within a given subshell and energy level. Each orbital can hold two electrons.

• Orbital: The region within a subshell where two specific electrons can be found.

• Set of Orbitals: All orbitals of a given subshell in a particular energy level.

Formula for Number of Orbitals:

• For a given subshell, the number of orbitals is determined by the quantum number l:

$\text{Number of orbitals} = 2l + 1$

• s subshell: $l = 0$, 1 orbital

• p subshell: $l = 1$, 3 orbitals

• d subshell: $l = 2$, 5 orbitals

• f subshell: $l = 3$, 7 orbitals

Sets of Orbitals by Energy Level and Subshell

Subshell	Set of Orbitals
S	1S, 2S, 3S, 4S
P	2P, 3P, 4P
D	3D, 4D
F	4F (Additional info: f orbitals are not typically covered in GOB Chemistry)

Examples and Practice

• Example: The set of orbitals that exist in the 4th energy level and d subshell is 4d.

• Practice: Statements about sets of orbitals:

  • A set of d orbitals contains 5 orbitals.

  • A set of 4s orbitals would have more energy than a set of 3p orbitals.

  • A set of 4s orbitals would have less energy than a set of 5p orbitals.

  • A set of p orbitals contains 3 orbitals.

Summary Table: Subshells and Their Orbitals

Subshell	Number of Orbitals	Maximum Electrons	Shape
s	1	2	Spherical
p	3	6	Dumbbell
d	5	10	Cloverleaf
f	7	14	Complex

Additional info: The maximum number of electrons in a subshell is calculated as $2 \times \text{number of orbitals}$.