Yes. Most of russians think that 'western countries are pure capitalism', which excludes term 'socialism'.
What about older Russians? The ones that grew up in the USSR?

To be clear, I am not asking people to tell me what communism and socialism is. I already know a lot about communism and socialism. I am interested specifically with a Russians understanding of what socialism and communism is.

The soviet definitions are completely different from the western ones.
I am not asking about the Soviet definition, I am asking about the Russian peoples understanding of communism and socialism in general.

Soviet communism or Soviet socialism is specific. I want to know about what Russians understand about communism/socialism in general.

I think that you are misunderstanding what I am asking. I am not asking what socialism/communism according to the Soviet government was.

So for example, my country is a "constitutional monarchy". I can describe what that means for my country, but I also know that a constitutional monarchy will look different depending on which country I am in. The constitutional monarchy in Australia is different to the constitutional monarchy in the United Kingdom. However, they are both constitutional monarchies. If you flew me from my country to another country that is a constitutional monarchy, I would be able to recognize it as a constitutional monarchy even though it is not run in the same way as my country is.

It seems that Alex80 has already answered my question, but I am eager to hear other peoples views.

Another way to put it is if I flew a Russian to the new communist country of "Esidian", a country that is nothing like the USSR whatsoever, would Russians say to themselves: "hey, this is a communist country"? or would they say: "what sort of country is this?".

if I flew a Russian to the new socialist country of "Residian", a country that is nothing like the USSR whatsoever, would Russians say to themselves: "hey, this is a socialist country"? or would they say: "what sort of country is this?".

The comments in bold require a Russian to actually know what socialism/communism is. Not what the USSR was, not the USSR governments brand of socialism was, not what the typical westerner thinks socialism/communism is, but what socialism/communism actually is.