Why are metals malleable, and ductile, and conductive of heat and electricity?

Answer 1

Because of #"metallic bonding."#

#"Metallic bonding"# results from the close packing of metal atoms, such that the atoms contribute a few of their valence electrons to the overall lattice. These valence electrons are delocalized, and not associated with any particular atom.
Metallic bonding is thus often described as #"positive ions in a sea of electrons"#, in which the metal nuclei can move with respect to each other, without disrupting the metallic bond.
And since #"metallic bonding"# is thus non-molecular, the individual metal atoms can move with respect to each other without disrupting the metallic bond. As a consequence metals are (i) #"malleable"#, capable of being hammered out into a sheet, and (ii) #"ductile"#, capable of being drawn into a wire. These properties make metals the premier material for making tools.

Most metals also have electrical conductivity due to the delocalization of electrons in metallic bonds.

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Answer 2

Metals can be easily hammered or drawn into various shapes without breaking apart due to their metallic bonding, which allows metal atoms to slide past one another without breaking bonds. Metals are also conductive of heat and electricity due to the free electrons within their structure, known as delocalized electrons, which can move freely throughout the metal lattice and effectively carry both heat and electric charge.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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