Email (letter) to professors about doing research with them

Hi all, I'm a student from UIUC and I'm trying to apply for some research assistant positions in my department. I'm now struggling with how to properly email my professors for inquiry about the availability of these positions. Can anyone help me? Here is one of these emails I've written:

Dear Dr. xxx :

This is xxx and I'm a junior in the Department of Civil and Environmental Engineering. I've recently visited your research website and I'm interested in some of your computational mechanics research projects. Therefore, I would like to seek some research assistant opportunities to assist your team and gain relevant experiences. Are there currently any undergraduate positions available in your team? Am I allowed to apply for them? If not, would you mind recommending some other faculties to me to contact with?

Looking forward for your reply,

Regards,

xxx

I'm trying to be as modest as possible so that I won't offend my professors.

Any suggestions are welcome, thanks a lot!

I understand that you are trying to be modest, but as far as I've heard from professors and advisors, it's okay to let them know about any strengths, experiences or skills that you have. Actually most of the time you might not even get a reply back from these professors, so don't be discouraged. It's nice if you could write more about yourself in these emails, because it's kind of your one time chance to show them who you are, and why they must choose you instead of other people who are trying to get the same position. So don't be shy, go ahead and talk more about yourself (your gap, or other research experiences specially.) Also let them know why you are interested in "their" research more specifically.

Good luck! =]

suitable email for a professor to apply for research opportunity in another university

hello. I am a Phd student and I want to apply for a research opportunity in another university. just I want to know how can send a suitable email. should I attach my CV also? Should I send my submitted papers?

Yes, you need to add your submitted papers to the mail including your CV, these would speak for you in absential.