The Madelung Constant Is Given by the Infinite Sum $\alpha$ = 6 - 12/2^1/2 + 8/3^1/2 -

question 52

Multiple Choice

The Madelung constant is given by the infinite sum $\alpha$ = 6 - 12/2^1/2 + 8/3^1/2 - ....Which of the following statements is true?

• A)The numerators in these terms are the number of nearest neighbors in the crystal.
• B)The denominators in these terms are related to the distances to the nearest neighbors.
• C)The Madelung constant is the constant of proportionality in the expression for the net attractive potential energy of an ion in a crystal.
• D)The value of \(\alpha\) depends on the geometry of the crystal.
• E)All of these are correct.

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Definitions:

Pectoralis Minor

A thin, triangular muscle located beneath the pectoralis major in the chest, which plays a role in movements of the shoulder.

Rhomboideus Major

A muscle in the upper back that connects the scapula with the vertebral column, aiding in the shoulder's retraction and rotation.

Rotator Cuff

A group of muscles and tendons that surround the shoulder joint, supporting and enabling various arm movements.

Glenoid Fossa

A shallow depression in the scapula that articulates with the head of the humerus, forming the shoulder joint.