Why do refractory metals have high melting points?
Refractory metals have high melting points because they have strong electrostatic bonds.
Niobium, molybdenum, tantalum, tungsten, and rhenium are the refractory metals; their melting points exceed 2750K.
Melting happens when the bonds holding a solid crystal together are broken by the thermal vibrations of the atoms; specifically, this happens when the vibrations' amplitude is greater than the distances separating the atoms.
When it comes to metals, the conduction electrons—typically the two outermost electrons in the s shell—form a cloud that leads to the formation of electrostatic bonds between atoms.
Refractory metals are those with three, four, or five electrons in the d shell that form covalent bonds with nearby atoms; the strength of these bonds is what gives these metals their high melting points.
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Refractory metals have high melting points because of their strong metallic bonds, which are hard to break without a lot of energy. They also have high melting points because of the strong attractive forces that can form between atoms because of their electron configuration.
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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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