Element vs Atom: Understand the Difference

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? I don't understand ?

What is the difference between an element and an atom?

hydrogen is defined as an element but a the same time is also one single atom. its juat an that has one electron and proton. SO WHATS THE DIFFERENCE? CAN I USE THE LABELS ELEMENT AND ATOM INTERCHANGABLY?
 
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An element is a type or kind of substance. An atom is a quantity of an element, specifically the smallest possible quantity one can have of an element.
 
why can't i if hydrogen is an element and an atom. why would it be wrong for me to say the hydrogen element as opposed to the hydrogen atom. Is hydrogen not an element? is hydrogen not an atom?

To address this question that I'm asking u have to explain to me why and how hydrogen isn't an element or/and an atom. or else i should be able to call hydrogen an element and an atom
 
Since it seems it wasn't clear to you from jtbell's answer, I'll try to rephrase what he wrote. It's called hydrogen whether you have one atom of it or billions or trillions. The element describes the type of atom...a hydrogen atom.
 
Bills are a type of money.
A single bill is both a "bill" and "some money".
A one dollar bill is still an amount of money.
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
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