I have submitted a revised manuscript to an international journal of quantum chemistry at 8 August. My articles status still remain under review, I also don't know my article get accepted or rejected, I feel anxiety and cannot sleep well in this 3 weeks since this is my first articles. Should I write a polite inquiry email to the editor from that publisher to ask the status for my revised manuscript status? Thank you for advice.
Check with your colleagues in quantum chemistry what the standard timeline in publication is. In particular, you want to know how long it takes to receive reviewer reports. If your colleagues have reviewed papers, you can also ask how long they are given to review.
Chances are very good that 3 weeks is not too long - in fact it'd be abnormally fast to receive a decision in 3 weeks. Therefore relax, and wait.
If you're still concerned, I would email Wiley and ask about the status. They probably won't be able to give you a decision, but you can still ask questions such as how many reviewers have agreed to review, when the review due dates are, and so on (no guarantees they will give you the details though).